diff --git a/.gitignore b/.gitignore
index 69eb118..7b852c0 100644
--- a/.gitignore
+++ b/.gitignore
@@ -33,3 +33,44 @@ project/boot/
.idea
out/
all/
+
+
+# ISFA upgrade specific
+all_2015/
+all_2020/
+
+# Created by https://www.toptal.com/developers/gitignore/api/bloop,scala,metals,sbt
+# Edit at https://www.toptal.com/developers/gitignore?templates=bloop,scala,metals,sbt
+
+### Bloop ###
+.bloop/
+
+### Metals ###
+.metals/
+project/**/metals.sbt
+
+### SBT ###
+# Simple Build Tool
+# http://www.scala-sbt.org/release/docs/Getting-Started/Directories.html#configuring-version-control
+
+dist/*
+target/
+lib_managed/
+src_managed/
+project/boot/
+project/plugins/project/
+.history
+.cache
+.lib/
+
+### SBT Patch ###
+.bsp/
+
+### Scala ###
+*.class
+*.log
+
+# virtual machine crash logs, see http://www.java.com/en/download/help/error_hotspot.xml
+hs_err_pid*
+
+# End of https://www.toptal.com/developers/gitignore/api/bloop,scala,metals,sbt
diff --git a/README.md b/README.md
index 899b02e..b1444a7 100644
--- a/README.md
+++ b/README.md
@@ -1,11 +1,18 @@
-# ISFA
+# Continuation of ISFA
The *ISFA* project is a database of *I*nteger *S*equence *F*ormulas and *A*pplications. The integer sequence formulas are parsed from the [OEIS](http://oeis.org).
A more detailed report can be found [here](https://github.com/eluzhnica/ISFA/blob/master/docs/Enxhell_Luzhnica_BSC.pdf).
-## Parts
+## Usage
+1. Install sbt: https://www.scala-sbt.org/download.html
+3. Have a running MongoDB 5.x instance - version 6 drops support for the `insert` operation: Get it from Docker-Hub `docker pull mongo:5` and run it `docker run -d -p 27017:27017 --name mongo mongo:5`
+4. Copy all the OEIS files (that is, the `A\d{6}\.txt` files) to `all/`
+5. Run ISFA: `sbt "runMain library.Library"` (Caution: This does *not* remove documents in the database. Running it again will add all documents again, doubling the document count)
+6. Retrieve the documents from the database as a JSON file `oeis.json`: `docker exec -it mongo mongoexport --db OEIS --collection theory_verified --out oeis.json && docker cp mongo:/oeis.json .`
+## Parts
+git
The ISFA is currently composed of:
- A parser for math formulas found in the OEIS.
diff --git a/build.sbt b/build.sbt
index 0c0de19..b83fb3f 100644
--- a/build.sbt
+++ b/build.sbt
@@ -1,25 +1,64 @@
-name := "OEIS"
-version := "1.0"
+name := "ISFA_puzzle"
-scalaVersion := "2.11.6"
+version := "0.2"
-libraryDependencies += "org.scala-lang.modules" %% "scala-xml" % "1.0.3"
+scalaVersion := "2.12.12"
-libraryDependencies += "org.scalatest" %% "scalatest" % "2.2.4" % "test"
-libraryDependencies += "org.scala-lang.modules" %% "scala-parser-combinators" % "1.0.4"
+// https://mvnrepository.com/artifact/org.scala-lang.modules/scala-xml
+libraryDependencies += "org.scala-lang.modules" %% "scala-xml" % "2.0.0-M1"
-libraryDependencies += "org.mongodb" %% "casbah" % "2.8.2"
+// https://mvnrepository.com/artifact/org.scalatest/scalatest
+libraryDependencies += "org.scalatest" %% "scalatest" % "3.2.2" % Test
-libraryDependencies += "org.scalaj" %% "scalaj-http" % "2.3.0"
+// https://mvnrepository.com/artifact/org.scala-lang.modules/scala-parser-combinators
+libraryDependencies += "org.scala-lang.modules" %% "scala-parser-combinators" % "1.1.2"
-libraryDependencies += "com.novus" %% "salat" % "1.9.9"
+// https://mvnrepository.com/artifact/org.mongodb/casbah
+libraryDependencies += "org.mongodb" %% "casbah" % "3.1.1"
-resolvers += "Typesafe Repo" at "http://repo.typesafe.com/typesafe/releases/"
+// https://mvnrepository.com/artifact/org.scalaj/scalaj-http
+libraryDependencies += "org.scalaj" %% "scalaj-http" % "2.4.2"
+
+// https://mvnrepository.com/artifact/com.github.salat/salat
+libraryDependencies += "com.github.salat" %% "salat" % "1.11.2"
+
+//TODO
+//resolvers += "Typesafe Repo" at "http://repo.typesafe.com/typesafe/releases/"
+resolvers += "Typesafe Repo" at "https://dl.bintray.com/typesafe/maven-releases/"
+
+// https://mvnrepository.com/artifact/com.typesafe.play/play-ws
+libraryDependencies += "com.typesafe.play" %% "play-ws" % "2.8.7"
+
+// https://mvnrepository.com/artifact/org.json4s/json4s-native
+libraryDependencies += "org.json4s" %% "json4s-native" % "3.6.10"
-libraryDependencies += "com.typesafe.play" %% "play-ws" % "2.4.3"
+// GeneratingFunctionsSagePackage.scalae was missing the SLF4J lib? now it runs
+libraryDependencies ++= Seq(
+ "org.slf4j" % "slf4j-api" % "1.7.25",
+ "ch.qos.logback" % "logback-classic" % "1.2.3"
+)
+excludeDependencies += "org.apache.logging.log4j" % "log4j-slf4j-impl"
+
+/*'''
+
+libraryDependencies += "org.scala-lang.modules" %% "scala-xml" % "1.3.0"
+libraryDependencies += "org.scalatest" %% "scalatest" % "3.2.3"
+libraryDependencies += "org.scala-lang.modules" %% "scala-parser-combinators" % "1.1.2"
+//had to change scala version for this on:
+libraryDependencies += "org.mongodb" %% "casbah" % "3.1.1"
+//this one worked instantly:
+libraryDependencies += "org.scalaj" %% "scalaj-http" % "2.3.0"
+//scala version for this one is even lower
+libraryDependencies += "com.novus" %% "salat" % "1.9.9"
+//resolvers += "Typesafe Repo" at "http://repo.typesafe.com/typesafe/releases/"
+resolvers += "Typesafe Repo" at "https://dl.bintray.com/typesafe/maven-releases/"
+libraryDependencies += "com.typesafe.play" %% "play-ws" % "2.4.3"
libraryDependencies += "org.json4s" %% "json4s-native" % "3.3.0"
+//libraryDependencies += "org.json4s" %% "json4s-native" % "3.6.10"
+'''*/
+
+def readme(base : File) = base / "README"
-def readme(base : File) = base / "README"
\ No newline at end of file
diff --git a/generatingFunctions b/generatingFunctions
index 92b1edf..e69de29 100644
--- a/generatingFunctions
+++ b/generatingFunctions
@@ -1,129742 +0,0 @@
-
-def A000008():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**5)*(1-x**10)))] }
-
-
-
-def A000012():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x))] }
-
-
-
-def A000027():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x)**2)] }
-
-
-
-def A000032():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-x-x**2))] }
-
-
-
-def A000034():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x**2))] }
-
-
-
-def A000035():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x**2))] }
-
-
-
-def A000042():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(10*x))))] }
-
-
-
-def A000044():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**3-x**5-x**7-x**9-x**11))] }
-
-
-
-def A000045():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x-x**2))] }
-
-
-
-def A000051():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A000064():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**2)*(1-x**5)*(1-x**10)))] }
-
-
-
-def A000071():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x-x**2)*(1-x)))] }
-
-
-
-def A000073():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-x-x**2-x**3)),
-(x**2/(1-(x/(1-(x/(1+(x**2/(1+x))))))))] }
-
-
-
-def A000078():
- x = SR.var('x')
- return { 'ogf': [(x**3/(1-x-x**2-x**3-x**4)),
-(x**3/(1-(x/(1-(x/(1+(x**3/(1+(x/(1-(x/(1+x))))))))))))] }
-
-
-
-def A000079():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)))] }
-
-
-
-def A000100():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x-x**2)*(1-x-x**2-x**3)))] }
-
-
-
-def A000102():
- x = SR.var('x')
- return { 'ogf': [(x**4/(1-x-x**2-x**3)/(1-x-x**2-x**3-x**4))] }
-
-
-
-def A000108():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x))))/(2*x))] }
-
-
-
-def A000124():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/(1-x)**3),
-((1-x**6)/((1-x)**2*(1-x**2)*(1-x**3)))] }
-
-
-
-def A000125():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(1-x)**4)] }
-
-
-
-def A000126():
- x = SR.var('x')
- return { 'ogf': [(-(((1-x)+x**3)/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A000127():
- x = SR.var('x')
- return { 'ogf': [(((((1-(3*x))+(4*x**2))-(2*x**3))+x**4)/(1-x)**5)] }
-
-
-
-def A000128():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2+x**3)/((1-x-x**2)*(1-x)**3))] }
-
-
-
-def A000129():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-x**2)),
-(x/(1-(2*x)-x**2))] }
-
-
-
-def A000150():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(4*x**2)))-sqrt((1-(4*x)))-(2*x))/(4*x))] }
-
-
-
-def A000168():
- x = SR.var('x')
- return { 'ogf': [(((1/54)*((-1)+(18*x)+(-((12*x)-1)**3)**(1/2)))/x**2)] }
-
-
-
-def A000207():
- x = SR.var('x')
- return { 'ogf': [((((12*((1+x)-(2*x**2)))+(1-(4*x))**(3/2))-(3*(3+(2*x))*(1-(4*x**2))**(1/2))-(4*(1-(4*x**3))**(1/2)))/(24*x**2))] }
-
-
-
-def A000211():
- x = SR.var('x')
- return { 'ogf': [((2/(1-x))+((2-x)/(1-x-x**2)))] }
-
-
-
-def A000212():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/((1-x)**2*(1-x**3))),
-((x**2*(1-x**2))/((1-x)**3*(1-x**3)))] }
-
-
-
-def A000213():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x))/(1-x-x**2-x**3)),
-(1/(1-(x/(1-((2*x**2)/(1+x**2))))))] }
-
-
-
-def A000217():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x)**3)] }
-
-
-
-def A000225():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))*(1-x)))] }
-
-
-
-def A000241():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(1+x+x**2))/(x+1)**3/(x-1)**5))] }
-
-
-
-def A000244():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x)))] }
-
-
-
-def A000247():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))*x**3)/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A000253():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))*(((1-(2*x))+x**2)-x**3)))] }
-
-
-
-def A000285():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-x-x**2))] }
-
-
-
-def A000288():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-(2*x**3))/(1-x-x**2-x**3-x**4))] }
-
-
-
-def A000290():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x)**3)] }
-
-
-
-def A000292():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x)**4)] }
-
-
-
-def A000295():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A000297():
- x = SR.var('x')
- return { 'ogf': [((2-x)**2/(1-x)**4)] }
-
-
-
-def A000302():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x)))] }
-
-
-
-def A000325():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(3*x**2))/((1-(2*x))*(1-x)**2)),
-(1/(1-(x/(1-(x/(1-(x/(1+(x/(1-(2*x)))))))))))] }
-
-
-
-def A000326():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A000330():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x)**4)] }
-
-
-
-def A000332():
- x = SR.var('x')
- return { 'ogf': [(x**4/(1-x)**5)] }
-
-
-
-def A000337():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A000340():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))*(1-x)**2))] }
-
-
-
-def A000351():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(5*x)))] }
-
-
-
-def A000352():
- x = SR.var('x')
- return { 'ogf': [((x**4*(5-(6*x)))/((1-(3*x))*(1-(2*x))*(1-x)**2))] }
-
-
-
-def A000363():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((9*x)-5))/((x-1)**3*((3*x)-1)**2*((5*x)-1))))] }
-
-
-
-def A000365():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-sqrt((1-(4*x))))*((7+(4*x))-(2*sqrt((1-(4*x))))))/(2*((4*x)-1)**4))] }
-
-
-
-def A000383():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x**2+(2*x**3)+(3*x**4)+(4*x**5))/((-1)+x+x**2+x**3+x**4+x**5+x**6))] }
-
-
-
-def A000384():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-x)**3)] }
-
-
-
-def A000389():
- x = SR.var('x')
- return { 'ogf': [(x**5/(1-x)**6)] }
-
-
-
-def A000392():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A000400():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(6*x)))] }
-
-
-
-def A000420():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(7*x)))] }
-
-
-
-def A000447():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+x**2))/(1-x)**4)] }
-
-
-
-def A000453():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A000460():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+x)-(4*x**2)))/((1-x)**3*(1-(2*x))**2*(1-(3*x))))] }
-
-
-
-def A000466():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x)-(3*x**2))/(x-1)**3)] }
-
-
-
-def A000473():
- x = SR.var('x')
- return { 'ogf': [((x*(1-sqrt((1-(4*x))))*((17+(16*x))-((10+(4*x))*sqrt((1-(4*x))))))/(1-(4*x))**(11/2))] }
-
-
-
-def A000478():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((12*x**3)-(40*x**2))+(45*x))-15))/((1-x)**3*(1-(2*x))**2*((3*x)-1)))] }
-
-
-
-def A000486():
- x = SR.var('x')
- return { 'ogf': [((2*x**5*(((24*x**2)-(29*x))+8))/((x-1)**2*((2*x)-1)**2*((3*x)-1)*((4*x)-1)))] }
-
-
-
-def A000487():
- x = SR.var('x')
- return { 'ogf': [((16*(x**5*(1-(3*x))))/((1-(2*x))**3*(1-(4*x))**2*(1-(6*x))))] }
-
-
-
-def A000498():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((1+(6*x))-(43*x**2))+(44*x**3)+(52*x**4))-(72*x**5)))/((1-x)**4*(1-(2*x))**3*(1-(3*x))**2*(1-(4*x))))] }
-
-
-
-def A000502():
- x = SR.var('x')
- return { 'ogf': [((x*(1-sqrt((1-(4*x))))*((105+(92*x))-((84+(76*x))*sqrt((1-(4*x))))))/(1-(4*x))**7)] }
-
-
-
-def A000517():
- x = SR.var('x')
- return { 'ogf': [((16*(x**7*(((17-(184*x))+(636*x**2))-(720*x**3))))/((1-(2*x))**4*(1-(4*x))**3*(1-(6*x))**2*(1-(8*x))))] }
-
-
-
-def A000533():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x**2))/((1-x)*(1-(10*x))))] }
-
-
-
-def A000537():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**2)+x**3)/(1-x)**5)] }
-
-
-
-def A000540():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**4+(56*x**3)+(246*x**2)+(56*x)+1))/(x-1)**8)] }
-
-
-
-def A000541():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(120*x)+(1191*x**2)+(2416*x**3)+(1191*x**4)+(120*x**5)+x**6))/(1-x)**9)] }
-
-
-
-def A000543():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(13*x)+(149*x**2)+(514*x**3)+(149*x**4)+(13*x**5)+x**6))/(1-x)**9)] }
-
-
-
-def A000561():
- x = SR.var('x')
- return { 'ogf': [(-(((4*x**3)-(5*x**2)-(20*x)-6)/(x-1)**4))] }
-
-
-
-def A000562():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((2*x**5)-(4*x**4))+(15*x**3))-(35*x**2)-(50*x)-9))/(1-x)**5))] }
-
-
-
-def A000563():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*((((8*x**5)-(6*x**4))+(10*x**3))-(128*x**2)-(114*x)-13))/(1-x)**6))] }
-
-
-
-def A000564():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*((((2*x**7)-(4*x**6))+(36*x**5))-(29*x**4)-(72*x**3)-(411*x**2)-(231*x)-20))/(1-x)**7))] }
-
-
-
-def A000565():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*((((12*x**7)-(6*x**6))+(88*x**5))-(131*x**4)-(548*x**3)-(1123*x**2)-(448*x)-31))/(1-x)**8))] }
-
-
-
-def A000566():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(1-x)**3)] }
-
-
-
-def A000567():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/(1-x)**3)] }
-
-
-
-def A000570():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**3+x**4)/(1-x-x**3-x**4-x**5))] }
-
-
-
-def A000575():
- x = SR.var('x')
- return { 'ogf': [((((10-(20*x))+(15*x**2))-(4*x**3))/(1-x)**10)] }
-
-
-
-def A000578():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A000579():
- x = SR.var('x')
- return { 'ogf': [(x**6/(1-x)**7)] }
-
-
-
-def A000580():
- x = SR.var('x')
- return { 'ogf': [(x**7/(1-x)**8)] }
-
-
-
-def A000581():
- x = SR.var('x')
- return { 'ogf': [(x**8/(1-x)**9)] }
-
-
-
-def A000582():
- x = SR.var('x')
- return { 'ogf': [(x**9/(1-x)**10)] }
-
-
-
-def A000584():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(x-1)**6)] }
-
-
-
-def A000689():
- x = SR.var('x')
- return { 'ogf': [((x+(3*x**2)+(5*x**3)+1)/((1-x)*(1+x**2))),
-(1/(1-((2*x)/(1+((5*x**3)/(1+(x/(1-((3*x)/(1+(3*x)))))))))))] }
-
-
-
-def A000748():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**3-x**3)),
-(1/(1+((3*x)/(1-(x/(1+x))))))] }
-
-
-
-def A000749():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)**4-x**4))] }
-
-
-
-def A000750():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**5-x**5))] }
-
-
-
-def A000773():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1+x)*(1-(2*x))*(1-(3*x**2))))] }
-
-
-
-def A000792():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+x**4)/(1-(3*x**3))),
-(1/(1-(x/(1-(x/(1+(x/(1-(x/(1+(x/(1+(x**2/(1+x))))))))))))))] }
-
-
-
-def A000803():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*((3*x)-2))/((x-1)*((x**3+x**2+x)-1))))] }
-
-
-
-def A000804():
- x = SR.var('x')
- return { 'ogf': [((((((((41*x**15)+(64*x**14))-(48*x**13)-(113*x**12)-(213*x**11)-(190*x**10))+(122*x**9)+(158*x**8)+(150*x**7)+(75*x**6))-(60*x**5)-(10*x**4)-(2*x**3))+x**2+(2*x))-1)/((((((-x**11)-x**10)+(2*x**9)+(2*x**8)+(4*x**7)+(2*x**6))-(6*x**5)-(2*x**4)-(2*x**3))+(3*x))-1))] }
-
-
-
-def A000855():
- x = SR.var('x')
- return { 'ogf': [(-(((((((50*x**12)+(25*x**11)+(13*x**10))-(44*x**9))+(28*x**8))-(36*x**7))+(32*x**6)+(16*x**5)+(8*x**4)+(4*x**3)+(2*x**2)+x+1)/((x-1)*(x**2+1)*((((x**8-x**6)+x**4)-x**2)+1))))] }
-
-
-
-def A000910():
- x = SR.var('x')
- return { 'ogf': [((5*x**6)/(1-x)**7)] }
-
-
-
-def A000914():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+x**2)/(1-x)**5)] }
-
-
-
-def A000915():
- x = SR.var('x')
- return { 'ogf': [((x*(24+(58*x)+(22*x**2)+x**3))/(1-x)**9)] }
-
-
-
-def A000918():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))-(2/(1-x))),
-(((3*x)-1)/(((2*x)-1)*(x-1)))] }
-
-
-
-def A000919():
- x = SR.var('x')
- return { 'ogf': [((24*x**3)/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A000920():
- x = SR.var('x')
- return { 'ogf': [((720*x**6)/((x-1)*((6*x)-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((5*x)-1)))] }
-
-
-
-def A000930():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**3))] }
-
-
-
-def A000931():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(1-x**2-x**3))] }
-
-
-
-def A000933():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+x**5))/((1-x)*(1-x**3)*(1-x**4))),
-((-(x**5*(((1-x)+x**2+x**4)-x**3)))/((1+x**2)*(1+x+x**2)*(x-1)**3))] }
-
-
-
-def A000957():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x))))/(3-sqrt((1-(4*x)))))] }
-
-
-
-def A000958():
- x = SR.var('x')
- return { 'ogf': [((1-x-((1+x)*sqrt((1-(4*x)))))/(2*x*(x+2)))] }
-
-
-
-def A000962():
- x = SR.var('x')
- return { 'ogf': [(((((-(2*x**5))+(5*x**4)+x**3)-(7*x**2))+1)/((((-x**6)+(3*x**4))-(7*x**2))+1))] }
-
-
-
-def A000963():
- x = SR.var('x')
- return { 'ogf': [(((((-(2*x**5))+(7*x**4))-(4*x**3))+x)/((((-x**6)+(3*x**4))-(7*x**2))+1))] }
-
-
-
-def A000964():
- x = SR.var('x')
- return { 'ogf': [(((x**5-(3*x**4))+x**3+x**2)/((((-x**6)+(3*x**4))-(7*x**2))+1))] }
-
-
-
-def A000969():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2))/((1-x)**2*(1-x**3)))] }
-
-
-
-def A000970():
- x = SR.var('x')
- return { 'ogf': [((x**5*((3*x**5)+(2*x**4)+(4*x**3)+(3*x**2)+(3*x)+1))/((1-x**5)*(1-x)**4))] }
-
-
-
-def A000971():
- x = SR.var('x')
- return { 'ogf': [((((((1+(3*x)+(3*x**7)+x**8+(3*x**2))-(4*x**3))+(10*x**4))-(4*x**5))+(3*x**6))/(x**6+x**3+1)/((-1)+x)**6)] }
-
-
-
-def A000973():
- x = SR.var('x')
- return { 'ogf': [((x**8*(1+(7*x)+(7*x**2)+x**3))/(1-x)**8)] }
-
-
-
-def A000975():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)*(1-x)*(1-(2*x))))] }
-
-
-
-def A000982():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+x**3+x**4)/((1-x)*(1-x**2)**2)),
-((x*(1+x**2))/((1-x**2)*(1-x)**2))] }
-
-
-
-def A000984():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((1-(4*x))))] }
-
-
-
-def A000993():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x)-(68*x**2))+(59*x**3)+(723*x**4))-(5*x**5)-(1700*x**6)-(500*x**7))/((((1-(10*x)-(30*x**2))+(300*x**3)+(129*x**4))-(1290*x**5)-(100*x**6))+(1000*x**7)))] }
-
-
-
-def A001003():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*x))] }
-
-
-
-def A001006():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2))))/(2*x**2))] }
-
-
-
-def A001014():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(x**4+(56*x**3)+(246*x**2)+(56*x)+1))/(x-1)**7))] }
-
-
-
-def A001016():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(x**6+(246*x**5)+(4047*x**4)+(11572*x**3)+(4047*x**2)+(246*x)+1))/(x-1)**9))] }
-
-
-
-def A001017():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(502*x)+(14608*x**2)+(88234*x**3)+(156190*x**4)+(88234*x**5)+(14608*x**6)+(502*x**7)+x**8))/(x-1)**10)] }
-
-
-
-def A001018():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x)))] }
-
-
-
-def A001019():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(9*x)))] }
-
-
-
-def A001020():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(11*x)))] }
-
-
-
-def A001021():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(12*x)))] }
-
-
-
-def A001022():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(13*x)))] }
-
-
-
-def A001023():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(14*x)))] }
-
-
-
-def A001024():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(15*x)))] }
-
-
-
-def A001025():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(16*x)))] }
-
-
-
-def A001026():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(17*x)))] }
-
-
-
-def A001027():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(18*x)))] }
-
-
-
-def A001029():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(19*x)))] }
-
-
-
-def A001045():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x-(2*x**2))),
-(x/(1-x-(2*x**2)))] }
-
-
-
-def A001047():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))*(1-(3*x))))] }
-
-
-
-def A001057():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)*(1-x**2)))] }
-
-
-
-def A001068():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(2*x**3)))/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A001075():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))+x**2))] }
-
-
-
-def A001076():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(4*x)-x**2))] }
-
-
-
-def A001077():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(4*x)-x**2))] }
-
-
-
-def A001078():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(10*x))+x**2))] }
-
-
-
-def A001079():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+x**2))] }
-
-
-
-def A001080():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(16*x))+x**2))] }
-
-
-
-def A001081():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+x**2))] }
-
-
-
-def A001085():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(20*x))+x**2))] }
-
-
-
-def A001089():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((x**5-(3*x**4))+(5*x**3))-(10*x**2))+(6*x))-1)*(1-(4*x))**(1/2))-(5*x**5))+(7*x**4))-(17*x**3))+(20*x**2))-(8*x))+1)/(2*x**6))] }
-
-
-
-def A001091():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(8*x))+x**2))] }
-
-
-
-def A001093():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(7*x**2))/(1-x)**4)] }
-
-
-
-def A001094():
- x = SR.var('x')
- return { 'ogf': [((x*((((23*x**3)+(3*x**2))-(3*x))+1))/(1-x)**5)] }
-
-
-
-def A001095():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(4*x))+(6*x**2))-(4*x**3))+(121*x**4)))/(1-x)**6)] }
-
-
-
-def A001096():
- x = SR.var('x')
- return { 'ogf': [(((((((-(719*x**6))-(5*x**5))+(10*x**4))-(10*x**3))+(5*x**2))-x)/(x-1)**7)] }
-
-
-
-def A001105():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x))/(1-x)**3)] }
-
-
-
-def A001106():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)))/(1-x)**3)] }
-
-
-
-def A001108():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A001109():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(6*x))+x**2))] }
-
-
-
-def A001110():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A001112():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((x**18-x**17)+(3*x**16))-(4*x**15))+(11*x**14))-(136*x**13))+(283*x**12))-(419*x**11))+(1121*x**10))-(1540*x**9)-(1121*x**8)-(419*x**7)-(283*x**6)-(136*x**5)-(11*x**4)-(4*x**3)-(3*x**2)-x-1))/(((x**10-(198*x**5))+1)*(x**10+(198*x**5)+1))))] }
-
-
-
-def A001117():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(11*x**2))+(6*x))/((x-1)*((3*x)-1)*((2*x)-1)))] }
-
-
-
-def A001118():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(274*x**4))+(225*x**3))-(85*x**2))+(15*x))/((x-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((5*x)-1)))] }
-
-
-
-def A001148():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(7*x**2))/((1-x)*(1+x**2)))] }
-
-
-
-def A001169():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**3)/(((1-(5*x))+(7*x**2))-(4*x**3)))] }
-
-
-
-def A001204():
- x = SR.var('x')
- return { 'ogf': [(((x**10-x**8-x**7)+x**6+(4*x**5)+(3*x**4)+x**3+x**2+(2*x)+7)/(x**5-1)**2)] }
-
-
-
-def A001224():
- x = SR.var('x')
- return { 'ogf': [(((2-(x+x**2)**2)/(2*(1-x-x**2)))+(((1+x+x**2)*(x**2+x**4))/(2*(1-x**2-x**4))))] }
-
-
-
-def A001240():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(3*x))*(1-(6*x))))] }
-
-
-
-def A001241():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(6*x))*(1-(8*x))*(1-(12*x))*(1-(24*x))))] }
-
-
-
-def A001242():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(24*x))*(1-(30*x))*(1-(40*x))*(1-(60*x))*(1-(120*x))))] }
-
-
-
-def A001254():
- x = SR.var('x')
- return { 'ogf': [((4-(7*x)-x**2)/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A001287():
- x = SR.var('x')
- return { 'ogf': [(x**10/(1-x)**11)] }
-
-
-
-def A001288():
- x = SR.var('x')
- return { 'ogf': [(x**11/(1-x)**12)] }
-
-
-
-def A001296():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-x)**5)] }
-
-
-
-def A001297():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(6*x**2)))/(1-x)**7)] }
-
-
-
-def A001299():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**5)*(1-x**10)*(1-x**25)))] }
-
-
-
-def A001300():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**5)*(1-x**10)*(1-x**25)*(1-x**50)))] }
-
-
-
-def A001301():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**5)*(1-x**10)*(1-x**25)))] }
-
-
-
-def A001302():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**5)*(1-x**10)*(1-x**25)*(1-x**50)))] }
-
-
-
-def A001303():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(8*x)+x**2))/(1-x)**7)] }
-
-
-
-def A001304():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**2)*(1-x**5)))] }
-
-
-
-def A001305():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**2)*(1-x**5)*(1-x**10)*(1-x**20)))] }
-
-
-
-def A001306():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**5)*(1-x**10)*(1-x**20)*(1-x**50)*(1-x**100)))] }
-
-
-
-def A001307():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x)**2/(1-x**2)/(1-x**4)/(1-x**10)/(1-x**20))] }
-
-
-
-def A001310():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**4)*(1-x**10)*(1-x**20)*(1-x**40)*(1-x**100)))] }
-
-
-
-def A001312():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**5)*(1-x**10)*(1-x**50)*(1-x**100)))] }
-
-
-
-def A001313():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**5)*(1-x**10)*(1-x**20)*(1-x**50)))] }
-
-
-
-def A001318():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A001333():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-x**2))] }
-
-
-
-def A001343():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**5)*(1-x**10)*(1-x**20)*(1-x**50)*(1-x**100)))] }
-
-
-
-def A001350():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/((1-x**2)*(1-x-x**2)))] }
-
-
-
-def A001352():
- x = SR.var('x')
- return { 'ogf': [(1+((6*x)/((1-(4*x))+x**2)))] }
-
-
-
-def A001353():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))+x**2))] }
-
-
-
-def A001354():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/((1-(3*x))+x**2))] }
-
-
-
-def A001360():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/((1-x)*((1-(3*x))+x**2)))] }
-
-
-
-def A001361():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**8+(232*x**7)+(7228*x**6)+(55384*x**5)+(133510*x**4)+(107224*x**3)+(24508*x**2)+(232*x)+1))/(x-1)**9))] }
-
-
-
-def A001362():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**4)*(1-x**10)))] }
-
-
-
-def A001364():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**4)*(1-x**12)*(1-x**24)*(1-x**48)*(1-x**96)*(1-x**120)))] }
-
-
-
-def A001365():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x)**2/(1-x**2)/(1-x**6)/(1-x**12)/(1-x**24)/(1-x**48)/(1-x**60))] }
-
-
-
-def A001399():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A001400():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)))] }
-
-
-
-def A001401():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)))] }
-
-
-
-def A001402():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)))] }
-
-
-
-def A001405():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x)+sqrt((1-(4*x**2))))/((2*x)-(4*x**2))),
-((sqrt(((1+(2*x))/(1-(2*x))))-1)/(2*x))] }
-
-
-
-def A001445():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3-x-(6*x**2)))/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A001447():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(5*x**2))/((1-(5*x)-(5*x**2))+(25*x**3)))] }
-
-
-
-def A001448():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1+sqrt((1-(16*x))))/(2*(1-(16*x)))))] }
-
-
-
-def A001477():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x)**2)] }
-
-
-
-def A001478():
- x = SR.var('x')
- return { 'ogf': [(-(x/(1-x)**2))] }
-
-
-
-def A001489():
- x = SR.var('x')
- return { 'ogf': [(-(1/(1-x)**2))] }
-
-
-
-def A001496():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x)+(87*x**2)+(148*x**3)+(87*x**4)+(14*x**5)+x**6)/(1-x)**10)] }
-
-
-
-def A001505():
- x = SR.var('x')
- return { 'ogf': [((6*(1+x)*(x**2+(30*x)+1))/(x-1)**4)] }
-
-
-
-def A001512():
- x = SR.var('x')
- return { 'ogf': [((24*(x**4+(121*x**3)+(381*x**2)+(121*x)+1))/(1-x)**5)] }
-
-
-
-def A001513():
- x = SR.var('x')
- return { 'ogf': [(((-5)-(62*x)-(5*x**2))/(x-1)**3)] }
-
-
-
-def A001519():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(3*x))+x**2)),
-(1/(1-(x/(1-(x/(1-x))))))] }
-
-
-
-def A001520():
- x = SR.var('x')
- return { 'ogf': [((3*(1+x)*(5+(206*x)+(5*x**2)))/(1-x)**4)] }
-
-
-
-def A001534():
- x = SR.var('x')
- return { 'ogf': [(-((2*((x*((4*x)+73))+4))/(x-1)**3))] }
-
-
-
-def A001535():
- x = SR.var('x')
- return { 'ogf': [((9+(182*x)+(9*x**2))/(1-x)**3)] }
-
-
-
-def A001539():
- x = SR.var('x')
- return { 'ogf': [((3+(26*x)+(3*x**2))/(1-x)**3)] }
-
-
-
-def A001541():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(6*x))+x**2))] }
-
-
-
-def A001542():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(6*x))+x**2))] }
-
-
-
-def A001546():
- x = SR.var('x')
- return { 'ogf': [(-((3*(35+(6260*x)+(20178*x**2)+(6260*x**3)+(35*x**4)))/(x-1)**5))] }
-
-
-
-def A001550():
- x = SR.var('x')
- return { 'ogf': [(((3-(12*x))+(11*x**2))/(((1-(6*x))+(11*x**2))-(6*x**3)))] }
-
-
-
-def A001559():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(4*x))+x**2+(2*x**3)+((1-(2*x)-x**2)*sqrt((1-(4*x))))))] }
-
-
-
-def A001570():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(14*x))+x**2))] }
-
-
-
-def A001579():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(5*x)))+(1/(1-(6*x))))] }
-
-
-
-def A001580():
- x = SR.var('x')
- return { 'ogf': [(((((2*x)-(2*x**2))+(3*x**3))-1)/(1-x)**3/((-1)+(2*x)))] }
-
-
-
-def A001582():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-(2*x)-(7*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A001584():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-x**3-x**4-x**5)/(((1-(2*x**3))+x**6)-x**8))] }
-
-
-
-def A001585():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(2*x**4)+(15*x**3))-(7*x**2))+(3*x))/(((3*x)-1)*(x-1)**4))] }
-
-
-
-def A001589():
- x = SR.var('x')
- return { 'ogf': [(-((((((5*x**5)+(38*x**4)+(43*x**3))-(17*x**2))+(4*x))-1)/((x-1)**5*((4*x)-1))))] }
-
-
-
-def A001590():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(1-x-x**2-x**3))] }
-
-
-
-def A001591():
- x = SR.var('x')
- return { 'ogf': [(x**4/(1-x-x**2-x**3-x**4-x**5))] }
-
-
-
-def A001593():
- x = SR.var('x')
- return { 'ogf': [((((((4*x**6)+(135*x**5)+(289*x**4)+(84*x**3))-(36*x**2))+(5*x))-1)/((x-1)**6*((5*x)-1)))] }
-
-
-
-def A001594():
- x = SR.var('x')
- return { 'ogf': [((((1-(6*x))+(72*x**2))-(75*x**3)-(1475*x**4)-(1776*x**5)-(334*x**6)-(7*x**7))/((1-x)**7*(1-(6*x))))] }
-
-
-
-def A001595():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-(2*x))+x**3))] }
-
-
-
-def A001607():
- x = SR.var('x')
- return { 'ogf': [(x/(1+x+(2*x**2)))] }
-
-
-
-def A001608():
- x = SR.var('x')
- return { 'ogf': [((3-x**2)/(1-x**2-x**3))] }
-
-
-
-def A001609():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/(1-x-x**3))] }
-
-
-
-def A001610():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/((1-x-x**2)*(1-x)))] }
-
-
-
-def A001611():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((1-(2*x))+x**3))] }
-
-
-
-def A001612():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x))/((1-x)*(1-x-x**2)))] }
-
-
-
-def A001621():
- x = SR.var('x')
- return { 'ogf': [((-(2*x*(x**2+x+1)))/(x-1)**5)] }
-
-
-
-def A001628():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2)**3)] }
-
-
-
-def A001629():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-x-x**2)**2)] }
-
-
-
-def A001630():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x))/((-1)+x+x**2+x**3+x**4)))] }
-
-
-
-def A001631():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*x**2)/((x**4+x**3+x**2+x)-1))] }
-
-
-
-def A001634():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+(4*x**2)))/(1-x**2-x**3-x**4))] }
-
-
-
-def A001635():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2+x+x**2+x**3)-(5*x**4)))/((1-x-x**2)+x**6))] }
-
-
-
-def A001636():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2+x+x**2+x**3+x**4)-(6*x**5)))/((1-x-x**2)+x**7))] }
-
-
-
-def A001638():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(4+x+x**2))/((1+x**2)*(1-x-x**2)))] }
-
-
-
-def A001639():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)+(4*x**3)+(5*x**4)))/(1-x-x**3-x**4-x**5))] }
-
-
-
-def A001640():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)+(4*x**3)+(5*x**4)+(6*x**5)))/(1-x-x**3-x**4-x**5-x**6))] }
-
-
-
-def A001641():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(4*x**3)))/(1-x-x**2-x**4))] }
-
-
-
-def A001642():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(4*x**3)+(5*x**4)))/(1-x-x**2-x**4-x**5))] }
-
-
-
-def A001643():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(4*x**3)+(5*x**4)+(6*x**5)))/(1-x-x**2-x**4-x**5-x**6))] }
-
-
-
-def A001645():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(5*x**4)))/(1-x-x**2-x**3-x**5))] }
-
-
-
-def A001648():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)))/(1-x-x**2-x**3-x**4))] }
-
-
-
-def A001649():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(6*x**5)))/(1-x-x**2-x**3-x**4-x**6))] }
-
-
-
-def A001651():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1-x)*(1-x**2)))] }
-
-
-
-def A001652():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x))/(((1-(6*x))+x**2)*(1-x)))] }
-
-
-
-def A001653():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(6*x))+x**2))] }
-
-
-
-def A001654():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x)-(2*x**2))+x**3))] }
-
-
-
-def A001655():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x)-(6*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A001656():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(5*x)-(15*x**2))+(15*x**3)+(5*x**4))-x**5))] }
-
-
-
-def A001657():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(8*x)-(40*x**2))+(60*x**3)+(40*x**4))-(8*x**5)-x**6))] }
-
-
-
-def A001658():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-(13*x)-(104*x**2))+(260*x**3)+(260*x**4))-(104*x**5)-(13*x**6))+x**7))] }
-
-
-
-def A001687():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x**2-x**5))] }
-
-
-
-def A001700():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt((1-(4*x))))-1)/(2*x))] }
-
-
-
-def A001752():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1-x)**5))] }
-
-
-
-def A001787():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x))**2),
-(x/(1-((4*x)/(1+(x/(1-x))))))] }
-
-
-
-def A001788():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x))**3)] }
-
-
-
-def A001792():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x))**2)] }
-
-
-
-def A001793():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(1-(2*x))**3)] }
-
-
-
-def A001794():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x))**4)] }
-
-
-
-def A001815():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(1-(2*x))**3)] }
-
-
-
-def A001816():
- x = SR.var('x')
- return { 'ogf': [(12*(1-(2*x))**(-5))] }
-
-
-
-def A001834():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(4*x))+x**2))] }
-
-
-
-def A001835():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(4*x))+x**2))] }
-
-
-
-def A001839():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**5-(2*x**4)-(2*x**3)-1))/((x-1)**3*(x+1)**2*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A001840():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**2*(1-x**3))),
-(x/(1+x+x**2)/(1-x)**3)] }
-
-
-
-def A001844():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/(1-x)**3)] }
-
-
-
-def A001845():
- x = SR.var('x')
- return { 'ogf': [((1+x)**3/(1-x)**4)] }
-
-
-
-def A001846():
- x = SR.var('x')
- return { 'ogf': [((1+x)**4/(1-x)**5)] }
-
-
-
-def A001847():
- x = SR.var('x')
- return { 'ogf': [((1+x)**5/(1-x)**6)] }
-
-
-
-def A001848():
- x = SR.var('x')
- return { 'ogf': [((1+x)**6/(1-x)**7)] }
-
-
-
-def A001849():
- x = SR.var('x')
- return { 'ogf': [((1+x)**7/(1-x)**8)] }
-
-
-
-def A001850():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(6*x))+x**2)))] }
-
-
-
-def A001859():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+x**2)/((1-x)**2*(1-x**2)))] }
-
-
-
-def A001860():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(3*x)+(2*x**2)))/((1-x)**3*(1-x**3)))] }
-
-
-
-def A001871():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))+x**2)**2)] }
-
-
-
-def A001872():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2)**4)] }
-
-
-
-def A001873():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2)**5)] }
-
-
-
-def A001874():
- x = SR.var('x')
- return { 'ogf': [(1-x-x**2)**(-6)] }
-
-
-
-def A001875():
- x = SR.var('x')
- return { 'ogf': [(1-x-x**2)**(-7)] }
-
-
-
-def A001891():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A001895():
- x = SR.var('x')
- return { 'ogf': [((4-(8*x**2)-sqrt((1-(4*x)))-((3+(2*x))*sqrt((1-(4*x**2)))))/(8*x**2))] }
-
-
-
-def A001906():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))+x**2))] }
-
-
-
-def A001911():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*(1-x-x**2)))] }
-
-
-
-def A001919():
- x = SR.var('x')
- return { 'ogf': [((x**3*((6-(8*x))+(3*x**2)))/(1-x)**8)] }
-
-
-
-def A001922():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/(((1-(15*x))+(15*x**2))-x**3))] }
-
-
-
-def A001924():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A001925():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x-x**2)**2*(1-x)**3))] }
-
-
-
-def A001949():
- x = SR.var('x')
- return { 'ogf': [(x**5/((x-1)*((x**5+x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A001971():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1-x)+x**2))/(((((1-(2*x))+x**2)-x**4)+(2*x**5))-x**6))] }
-
-
-
-def A001993():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)**2*(1-x**3)**2*(1-x**4)))] }
-
-
-
-def A001996():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)))] }
-
-
-
-def A002001():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(4*x)))] }
-
-
-
-def A002002():
- x = SR.var('x')
- return { 'ogf': [((((1-x)/sqrt(((1-(6*x))+x**2)))-1)/2)] }
-
-
-
-def A002003():
- x = SR.var('x')
- return { 'ogf': [((((1+x)/sqrt(((1-(6*x))+x**2)))-1)/2)] }
-
-
-
-def A002011():
- x = SR.var('x')
- return { 'ogf': [(4*(1-(4*x))**(-(3/2)))] }
-
-
-
-def A002023():
- x = SR.var('x')
- return { 'ogf': [(6/(1-(4*x)))] }
-
-
-
-def A002026():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-x)+sqrt((1-(2*x)-(3*x**2))))**2)] }
-
-
-
-def A002042():
- x = SR.var('x')
- return { 'ogf': [(7/(1-(4*x)))] }
-
-
-
-def A002056():
- x = SR.var('x')
- return { 'ogf': [(((x-1)+(((((1-(11*x))+(40*x**2))-(50*x**3))+(10*x**4))*(1-(4*x))**(-(5/2))))/(2*x**5))] }
-
-
-
-def A002057():
- x = SR.var('x')
- return { 'ogf': [(((1-sqrt((1-(4*x))))+(2*x*((-2)+sqrt((1-(4*x)))+x)))/(2*x**4))] }
-
-
-
-def A002058():
- x = SR.var('x')
- return { 'ogf': [((64*x**5)/((1+sqrt((1-(4*x))))**5*sqrt((1-(4*x)))))] }
-
-
-
-def A002059():
- x = SR.var('x')
- return { 'ogf': [((64*x**6*((2*x)+(3*sqrt((1-(4*x))))))/((1+sqrt((1-(4*x))))**6*(1-(4*x))**(3/2)))] }
-
-
-
-def A002061():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(3*x**2))/(1-x)**3),
-(1/(1-(x/(1-((2*x)/(1+(x/(1-((2*x)/(1+x))))))))))] }
-
-
-
-def A002062():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(3*x)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A002063():
- x = SR.var('x')
- return { 'ogf': [(9/(1-(4*x)))] }
-
-
-
-def A002064():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(2*x))+(2*x**2))/(((-1)+x)*((2*x)-1)**2)))] }
-
-
-
-def A002066():
- x = SR.var('x')
- return { 'ogf': [(10/(1-(4*x)))] }
-
-
-
-def A002081():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(2*x**2)+(2*x**3)))/((1-x)**2*(1+x**2)))] }
-
-
-
-def A002082():
- x = SR.var('x')
- return { 'ogf': [((((((((-(4*x**10))+(2*x**9))-(2*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(2*x**4))+(2*x**3))-(6*x**2))+(4*x))-2)/(((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)*(x-1)**3))] }
-
-
-
-def A002089():
- x = SR.var('x')
- return { 'ogf': [(11/(1-(4*x)))] }
-
-
-
-def A002212():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(6*x))+(5*x**2))))/(2*x))] }
-
-
-
-def A002216():
- x = SR.var('x')
- return { 'ogf': [((1/(24*x**2))*((((12+(24*x))-(48*x**2)-(24*x**3))+((1-x)**(3/2)*(1-(5*x))**(3/2)))-(3*(3+(5*x))*(1-x**2)**(1/2)*(1-(5*x**2))**(1/2))-(4*(1-x**3)**(1/2)*(1-(5*x**3))**(1/2))))] }
-
-
-
-def A002248():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((-1)+(2*x**2)))/((x-1)*((2*x)-1)*(((2*x**2)-x)+1))))] }
-
-
-
-def A002249():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-x)+(2*x**2)))] }
-
-
-
-def A002250():
- x = SR.var('x')
- return { 'ogf': [(-((1-(5*x))/((1-(3*x))*(1-(4*x)))))] }
-
-
-
-def A002264():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1-x**3)))] }
-
-
-
-def A002265():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)*(1-x**4)))] }
-
-
-
-def A002266():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-x)*(1-x**5)))] }
-
-
-
-def A002275():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))*(1-x)))] }
-
-
-
-def A002280():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-x)*(1-(10*x))))] }
-
-
-
-def A002281():
- x = SR.var('x')
- return { 'ogf': [((7*x)/((x-1)*((10*x)-1)))] }
-
-
-
-def A002282():
- x = SR.var('x')
- return { 'ogf': [((8*x)/((1-x)*(1-(10*x))))] }
-
-
-
-def A002283():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(10*x)))-(1/(1-x)))] }
-
-
-
-def A002299():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x)+(15*x**2)+x**3)/(1-x)**6)] }
-
-
-
-def A002310():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(5*x))+x**2))] }
-
-
-
-def A002315():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(6*x))+x**2))] }
-
-
-
-def A002316():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**3)+(7*x**2))-x)+1)/(((x**4+(6*x**3)+(11*x**2))-(6*x))+1))] }
-
-
-
-def A002317():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x)-x**2-x**3)/((1-(6*x))+(11*x**2)+(6*x**3)+x**4))] }
-
-
-
-def A002320():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(5*x))+x**2))] }
-
-
-
-def A002378():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(1-x)**3)] }
-
-
-
-def A002409():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x))**7)] }
-
-
-
-def A002411():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-x)**4)] }
-
-
-
-def A002412():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-x)**4)] }
-
-
-
-def A002413():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(1-x)**4)] }
-
-
-
-def A002414():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/(1-x)**4)] }
-
-
-
-def A002415():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/(1-x)**5)] }
-
-
-
-def A002417():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-x)**5)] }
-
-
-
-def A002418():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(1-x)**5)] }
-
-
-
-def A002419():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/(1-x)**5)] }
-
-
-
-def A002420():
- x = SR.var('x')
- return { 'ogf': [sqrt((1-(4*x)))] }
-
-
-
-def A002421():
- x = SR.var('x')
- return { 'ogf': [(1-(4*x))**(3/2)] }
-
-
-
-def A002426():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((1-(2*x)-(3*x**2)))),
-(1/sqrt((1-(2*x)-(3*x**2))))] }
-
-
-
-def A002446():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((4*x)-1)/(x-1))] }
-
-
-
-def A002450():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(4*x))))] }
-
-
-
-def A002452():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(9*x))))] }
-
-
-
-def A002453():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(9*x))*(1-(25*x))))] }
-
-
-
-def A002457():
- x = SR.var('x')
- return { 'ogf': [(1-(4*x))**(-(3/2))] }
-
-
-
-def A002477():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)))/((1-x)*(1-(10*x))*(1-(100*x))))] }
-
-
-
-def A002478():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(2*x**2)-x**3))] }
-
-
-
-def A002492():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x))/(1-x)**4)] }
-
-
-
-def A002501():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(5*x)))/(((3*x)-1)*((7*x)-1)*((4*x)-1))))] }
-
-
-
-def A002502():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(27*x))+(136*x**2)+(480*x**3)))/(((6*x)-1)*((5*x)-1)*((15*x)-1)*((4*x)-1)*((8*x)-1)))] }
-
-
-
-def A002524():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x)-(2*x**3))+x**5))] }
-
-
-
-def A002526():
- x = SR.var('x')
- return { 'ogf': [(((1-x-(2*x**2)-(2*x**4))+x**7+x**8)/(((1-(2*x)-(2*x**2)-(10*x**4)-(8*x**5))+(2*x**6)+(16*x**7)+(10*x**8)+(2*x**9))-(4*x**10)-(2*x**11)-(2*x**13)-x**14))] }
-
-
-
-def A002527():
- x = SR.var('x')
- return { 'ogf': [((x*((x**7+(2*x**6))-(2*x**4)-(2*x**3)-1))/((((x**14+(2*x**13)+(2*x**11)+(4*x**10))-(2*x**9)-(10*x**8)-(16*x**7)-(2*x**6))+(8*x**5)+(10*x**4)+(2*x**2)+(2*x))-1))] }
-
-
-
-def A002528():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/((x-1)*(((x**13+(3*x**12)+(3*x**11)+(5*x**10)+(9*x**9)+(7*x**8))-(3*x**7)-(19*x**6)-(21*x**5)-(13*x**4)-(3*x**3)-(3*x**2)-x)+1))))] }
-
-
-
-def A002529():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((x**4+x**3)-x**2-x-1))/((((x**14+(2*x**13)+(2*x**11)+(4*x**10))-(2*x**9)-(10*x**8)-(16*x**7)-(2*x**6))+(8*x**5)+(10*x**4)+(2*x**2)+(2*x))-1))] }
-
-
-
-def A002530():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2))/((1-(4*x**2))+x**4))] }
-
-
-
-def A002531():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2))+x**3)/((1-(4*x**2))+x**4))] }
-
-
-
-def A002532():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(5*x**2)))] }
-
-
-
-def A002533():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(5*x**2)))] }
-
-
-
-def A002535():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(9*x**2)))] }
-
-
-
-def A002536():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-(3*x**2)))/((1-(8*x**2))+(9*x**4)))] }
-
-
-
-def A002537():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(4*x**2))+(3*x**3))/((1-(8*x**2))+(9*x**4)))] }
-
-
-
-def A002544():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(4*x))**(5/2))] }
-
-
-
-def A002561():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(36*x**2)+(56*x**3)+(31*x**4))/(x-1)**6)] }
-
-
-
-def A002593():
- x = SR.var('x')
- return { 'ogf': [(((-x**4)-(23*x**3)-(23*x**2)-x)/(x-1)**5)] }
-
-
-
-def A002594():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(236*x)+(1446*x**2)+(236*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A002597():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)**2*(1-x**3)**3))] }
-
-
-
-def A002598():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((3*x**32)-(9*x**30)-(10*x**29)-(2*x**28))+(29*x**27)+(43*x**26)+(9*x**25))-(54*x**24)-(107*x**23)-(49*x**22))+(76*x**21)+(162*x**20)+(125*x**19))-(53*x**18)-(189*x**17)-(172*x**16)-(11*x**15))+(157*x**14)+(166*x**13)+(50*x**12))-(81*x**11)-(119*x**10)-(49*x**9))+(30*x**8)+(55*x**7)+(29*x**6))-(8*x**5)-(18*x**4)-(9*x**3))+x**2+(5*x)+1))/((x-1)**10*(x+1)**6*(x**2+1)**4*(x**2+x+1)**3))] }
-
-
-
-def A002604():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(5*x))-(72*x**2)-(282*x**3)-(317*x**4)-(51*x**5)-(2*x**6))/(x-1)**7)] }
-
-
-
-def A002605():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A002620():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)**2*(1-x**2)))] }
-
-
-
-def A002622():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)))] }
-
-
-
-def A002623():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**4*(1+x)))] }
-
-
-
-def A002662():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-(2*x))*(1-x)**3))] }
-
-
-
-def A002663():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-(2*x))*(1-x)**4))] }
-
-
-
-def A002664():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-(2*x))*(1-x)**5))] }
-
-
-
-def A002694():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x))))**4/(16*x**2*sqrt((1-(4*x)))))] }
-
-
-
-def A002695():
- x = SR.var('x')
- return { 'ogf': [(x*((1-(6*x))+x**2)**(-(3/2)))] }
-
-
-
-def A002696():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x))))**6/(64*x**3*sqrt((1-(4*x)))))] }
-
-
-
-def A002697():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(4*x))**2)] }
-
-
-
-def A002714():
- x = SR.var('x')
- return { 'ogf': [((((2*x**4)-(5*x**3)-(7*x**2))+(3*x)+1)/((((-x**4)+(4*x**3)+(2*x**2))-(4*x))+1))] }
-
-
-
-def A002717():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1+x)*(1-x)**4))] }
-
-
-
-def A002721():
- x = SR.var('x')
- return { 'ogf': [(-((x**8+(3*x**7)+(60*x**6)+(7*x**5)+(168*x**4)+(7*x**3)+(60*x**2)+(3*x)+1)/(x-1)**9))] }
-
-
-
-def A002727():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**4+(2*x**3)+x**2+1)/((1-x)**4*(1-x**2)**2*(1-x**3)**2))] }
-
-
-
-def A002736():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x)+2))/(1-(4*x))**(5/2))] }
-
-
-
-def A002738():
- x = SR.var('x')
- return { 'ogf': [(((18*x)+3)/(1-(4*x))**(7/2))] }
-
-
-
-def A002740():
- x = SR.var('x')
- return { 'ogf': [((1/2)*(1-(((1-(6*x))+(6*x**2))/(1-(4*x))**(3/2))))] }
-
-
-
-def A002754():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1-x)**2*(1-(9*x))))] }
-
-
-
-def A002783():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(3*x))-(4*x**2))/((x-1)*((3*x)-1)*((2*x)-1)))] }
-
-
-
-def A002789():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/(((1-x-x**2)+x**4+x**5)-x**6))] }
-
-
-
-def A002797():
- x = SR.var('x')
- return { 'ogf': [(-(((((5*x**6)+(7*x**5)+(2*x**4)+(5*x**3))-x)+3)/((x**2+1)*(x+1)**2*(x-1)**3)))] }
-
-
-
-def A002802():
- x = SR.var('x')
- return { 'ogf': [(1-(4*x))**(-(5/2))] }
-
-
-
-def A002817():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/(1-x)**5)] }
-
-
-
-def A002878():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(3*x))+x**2))] }
-
-
-
-def A002889():
- x = SR.var('x')
- return { 'ogf': [((1+x)**3/(1-x-x**2)**4/(1-x)**3)] }
-
-
-
-def A002901():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(5*x**2)+(7*x**3)))/((1+x+x**2)*(x-1)**4))] }
-
-
-
-def A002939():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(3*x)))/(1-x)**3)] }
-
-
-
-def A002940():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-x**2)**2/(1-x))] }
-
-
-
-def A002941():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/(1-x-x**2)**3/(1-x)**2)] }
-
-
-
-def A002943():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3+x))/(1-x)**3)] }
-
-
-
-def A002965():
- x = SR.var('x')
- return { 'ogf': [(((x+x**2)-x**3)/(1-(2*x**2)-x**4))] }
-
-
-
-def A003063():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x)-1))/(((2*x)-1)*((3*x)-1)))] }
-
-
-
-def A003082():
- x = SR.var('x')
- return { 'ogf': [(((((x**8-x**7)+x**6+x**4+x**2)-x)+1)/((x-1)**6*(x+1)**2*(x**2+1)*(x**2+x+1)**2))] }
-
-
-
-def A003154():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+x**2))/(1-x)**3)] }
-
-
-
-def A003215():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/(1-x)**3)] }
-
-
-
-def A003261():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(2*x))+(4*x**2)))/((x-1)*((-1)+(2*x))**2))] }
-
-
-
-def A003269():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x-x**4))] }
-
-
-
-def A003274():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-1)+x)-(3*x**2))+(2*x**3))-x**5))/(((-1)+x)**2*((-1)+x+x**3)))] }
-
-
-
-def A003402():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)**2*(1-x**4)*(1-x**5)))] }
-
-
-
-def A003404():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2)+(2*x**3)+(3*x**4)+(3*x**5)+(5*x**6)+(4*x**7)+(8*x**8)+(4*x**9)+(5*x**10)+(3*x**11)+(3*x**12)+(2*x**13)+(2*x**14)+x**16)/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)*(1-x**8)))] }
-
-
-
-def A003411():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+x**4)/(1-x-x**4))] }
-
-
-
-def A003417():
- x = SR.var('x')
- return { 'ogf': [((((2+x+(2*x**2))-(3*x**3)-x**4)+x**6)/((1-(2*x**3))+x**6))] }
-
-
-
-def A003438():
- x = SR.var('x')
- return { 'ogf': [((1+(103*x)+(4306*x**2)+(63110*x**3)+(388615*x**4)+(1115068*x**5)+(1575669*x**6)+(1115068*x**7)+(388615*x**8)+(63110*x**9)+(4306*x**10)+(103*x**11)+x**12)/(1-x)**17)] }
-
-
-
-def A003451():
- x = SR.var('x')
- return { 'ogf': [((x**5*((1+(2*x))-x**2))/((1-x)**4*(1+x)**2))] }
-
-
-
-def A003453():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x)**4*(1+x)**2))] }
-
-
-
-def A003462():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(3*x))))] }
-
-
-
-def A003464():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(6*x))))] }
-
-
-
-def A003467():
- x = SR.var('x')
- return { 'ogf': [(x**3*(1+(1-(4*x))**(-4)+(3*(1-x)**(-4))))] }
-
-
-
-def A003468():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-(4*x))*(1-(5*x))*(1-(6*x))*(1-(7*x))))] }
-
-
-
-def A003469():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x)**3*(1-(2*x))**2))] }
-
-
-
-def A003472():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x))**5)] }
-
-
-
-def A003480():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A003485():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+(4*x**3))/((1-x)*(1-x**4)))] }
-
-
-
-def A003486():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(18*x**2))/(1-(3*x))**3)] }
-
-
-
-def A003499():
- x = SR.var('x')
- return { 'ogf': [((2-(6*x))/((1-(6*x))+x**2))] }
-
-
-
-def A003500():
- x = SR.var('x')
- return { 'ogf': [(-((2*((-1)+(2*x)))/((1-(4*x))+x**2)))] }
-
-
-
-def A003501():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(5*x))+x**2))] }
-
-
-
-def A003516():
- x = SR.var('x')
- return { 'ogf': [((32*x**2)/((sqrt((1-(4*x)))+1)**5*sqrt((1-(4*x)))))] }
-
-
-
-def A003520():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**5))] }
-
-
-
-def A003555():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(45*x)))/((x-1)*((100*x)-1)*((10*x)-1)))] }
-
-
-
-def A003583():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))/(1-(4*x))**2)-(x/(1-(4*x))**(3/2)))] }
-
-
-
-def A003600():
- x = SR.var('x')
- return { 'ogf': [(((((1-(2*x))+(4*x**2))-(3*x**3))+x**4)/(1-x)**4)] }
-
-
-
-def A003645():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-sqrt((1-(8*x))))/(8*x**2))] }
-
-
-
-def A003662():
- x = SR.var('x')
- return { 'ogf': [((x*((((2*x**8)+x**6)-x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(3*x)+1))/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A003664():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**10+(2*x**9))-(2*x**8))+(2*x**7)+x**6+x**5+x**4+(3*x**3)+x**2+(3*x)+2))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A003665():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+(2*x))*(1-(4*x))))] }
-
-
-
-def A003674():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1+(2*x))*(1-(4*x))))] }
-
-
-
-def A003682():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-x**2)+x**3))/(1-x)**3)] }
-
-
-
-def A003683():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(2*x))*(1-(4*x))))] }
-
-
-
-def A003688():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-(3*x)-x**2))] }
-
-
-
-def A003691():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(2*x))**2)/(1-(8*x)-(8*x**2)))] }
-
-
-
-def A003693():
- x = SR.var('x')
- return { 'ogf': [((-(x*(x-1)*(x-2)*(x+1)))/((((-1)+x**5)-(3*x**4)-(2*x**3))+(7*x**2)+(2*x)))] }
-
-
-
-def A003695():
- x = SR.var('x')
- return { 'ogf': [(x+((2*x**2*(((((((((x**14-(3*x**13))+(4*x**12)+(10*x**11))-(30*x**10))+(16*x**9)+(36*x**8))-(72*x**7))+(43*x**6)+(67*x**5))-(55*x**4)-(19*x**3))+(13*x**2)+(11*x))-7))/(((x**2+x)-1)*(((x**4-(2*x**3))+(2*x**2)+(2*x))-1)**2*((x**4-x**3-(3*x**2)-x)+1))))] }
-
-
-
-def A003696():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**6-(49*x**4))+(112*x**3))-(49*x**2))+1))/((((((((x**8-(56*x**7))+(672*x**6))-(2632*x**5))+(4094*x**4))-(2632*x**3))+(672*x**2))-(56*x))+1))] }
-
-
-
-def A003698():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((4*x)+1))/((x+1)*(((4*x**2)-(7*x))+1))))] }
-
-
-
-def A003729():
- x = SR.var('x')
- return { 'ogf': [((x*(((11-(33*x))+(18*x**2))-x**3))/((((1-(19*x))+(41*x**2))-(19*x**3))+x**4))] }
-
-
-
-def A003730():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((3*x**3)-(14*x**2))+(2*x)+1))/((((3*x**4)-(22*x**3)-(4*x**2))+(9*x))-1)))] }
-
-
-
-def A003731():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x)+(4*x**2))-(2*x**3)))/(((1-(6*x))+(4*x**2))-(2*x**3)))] }
-
-
-
-def A003732():
- x = SR.var('x')
- return { 'ogf': [(((5*x)+(130*x**2))-((10*x**3*((((((((((-166)+(1472*x))-(4347*x**2))+(2503*x**3)+(7316*x**4))-(13386*x**5))+(12513*x**6))-(4715*x**7)-(215*x**8))+(1824*x**9))-(856*x**10))+(252*x**11)))/(((((1-(7*x)-x**2)+(20*x**3))-(3*x**4))+(3*x**5)+(5*x**6))*((((-1)+(6*x))-(4*x**2))+(2*x**3))**2)))] }
-
-
-
-def A003733():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*(1+x)*(((((x**6+(41*x**5))-(998*x**4))+(2722*x**3))-(998*x**2))+(41*x)+1))/((x-1)*((((x**4-(279*x**3))+(961*x**2))-(279*x))+1)*((((x**4-(39*x**3))+(281*x**2))-(39*x))+1))))] }
-
-
-
-def A003735():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**3-(43*x**2))+(87*x))-29))/((((x**4-(44*x**3))+(102*x**2))-(44*x))+1)))] }
-
-
-
-def A003736():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(x-1)*(((6*x**4)-(266*x**3))+(9*x**2)+(19*x)+1))/(((((24*x**6)-(1098*x**5))+(1354*x**4)+(285*x**3))-(149*x**2)-(21*x))+1)))] }
-
-
-
-def A003737():
- x = SR.var('x')
- return { 'ogf': [((4*x*((2*x**2)-(3*x)-1)*((((8*x**5)-(40*x**4))+(22*x**3)+(10*x**2))-(7*x)-1))/(((((16*x**7)-(32*x**6)-(188*x**5))+(120*x**4)+(80*x**3))-(50*x**2)-(13*x))+1))] }
-
-
-
-def A003738():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(((6720743*x**4)+(216352*x**3)+(5243*x**2))-(60*x)-3))/((((56832*x**4)+(3328*x**3)+(128*x**2))-(60*x))+1)))] }
-
-
-
-def A003739():
- x = SR.var('x')
- return { 'ogf': [(-((45*x*(((((x**7+(73*x**6))-(3456*x**5))+(4534*x**4)+(4534*x**3))-(3456*x**2))+(73*x)+1))/(((((((((x**9-(1152*x**8))+(80640*x**7))-(1442883*x**6))+(4477824*x**5))-(4477824*x**4))+(1442883*x**3))-(80640*x**2))+(1152*x))-1)))] }
-
-
-
-def A003741():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**5-(64*x**4))+(523*x**3))-(850*x**2))+(403*x))-40))/((((((x**6-(65*x**5))+(548*x**4))-(995*x**3))+(548*x**2))-(65*x))+1)))] }
-
-
-
-def A003742():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((((135*x**5)-(2388*x**4))+(1853*x**3))-(54*x**2)-(57*x)-2))/(((((405*x**6)-(7239*x**5))+(6539*x**4)+(707*x**3))-(396*x**2)-(26*x))+1)))] }
-
-
-
-def A003743():
- x = SR.var('x')
- return { 'ogf': [((6*x*((((256*x**5)-(504*x**4))+(234*x**3))-(12*x**2)-(18*x)-1))/(((((256*x**5)+(432*x**4))-(460*x**3))+(136*x**2)+(16*x))-1))] }
-
-
-
-def A003745():
- x = SR.var('x')
- return { 'ogf': [(-((75*x*((((x**6+(70*x**5))-(6838*x**4))+(6838*x**2))-(70*x)-1))/((((((((x**8-(1645*x**7))+(160129*x**6))-(3747310*x**5))+(7579606*x**4))-(3747310*x**3))+(160129*x**2))-(1645*x))+1)))] }
-
-
-
-def A003747():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(75*x))+56))/((x-1)*((x**2-(75*x))+1))))] }
-
-
-
-def A003748():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((218*x**2)-(125*x)-6))/(((436*x**3)-(288*x**2)-(47*x))+1)))] }
-
-
-
-def A003749():
- x = SR.var('x')
- return { 'ogf': [((12*x*((12*x**2)-(12*x)-1))/(((12*x**2)+(28*x))-1))] }
-
-
-
-def A003750():
- x = SR.var('x')
- return { 'ogf': [((60*x*(((((((6912*x**7)-(48096*x**6))+(39216*x**5))-(66112*x**4))+(15608*x**3))-(726*x**2))+(51*x)+1))/((((12*x**2)+(28*x))-1)**2*(((48*x**3)-(90*x**2)-(39*x))+1)))] }
-
-
-
-def A003751():
- x = SR.var('x')
- return { 'ogf': [(-((125*x*(x**3+(146*x**2)+(146*x)+1))/(((((x**5-(2255*x**4))+(105985*x**3))-(105985*x**2))+(2255*x))-1)))] }
-
-
-
-def A003752():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((((((2*x**7)+(4*x**6))-(37*x**5))+(21*x**4)+(30*x**3))-(16*x**2))+(7*x)+1))/((x+1)*((x**2-(4*x))+1)**2*(((2*x**2)+(4*x))-1))))] }
-
-
-
-def A003753():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((x**4+(6*x**3))-(30*x**2))+(6*x)+1))/((((((x**6-(90*x**5))+(735*x**4))-(1548*x**3))+(735*x**2))-(90*x))+1))] }
-
-
-
-def A003755():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**4+(6*x**3))-(16*x**2))+(6*x)+1))/(((x**2-(6*x))+1)*((((x**4-(42*x**3))+(83*x**2))-(42*x))+1)))] }
-
-
-
-def A003756():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(8*x**2)+(2*x**3))-(2*x)))/(1-(2*x)-(16*x**2)-(4*x**3)))] }
-
-
-
-def A003757():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/((1-x-(6*x**2)-x**3)+x**4))] }
-
-
-
-def A003758():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x)*((-x**2)+x+3))/(((1-(3*x)-(9*x**2))+(3*x**3)+(3*x**4))-x**5))] }
-
-
-
-def A003761():
- x = SR.var('x')
- return { 'ogf': [((3*x*((((x**6-(67*x**4))+(180*x**3))-(67*x**2))+1))/((((((((x**8-(90*x**7))+(1313*x**6))-(5850*x**5))+(9828*x**4))-(5850*x**3))+(1313*x**2))-(90*x))+1))] }
-
-
-
-def A003762():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((8*x**14)+(16*x**13)+(34*x**12)+(12*x**11)+(8*x**10)+(4*x**9))-(4*x**8))+(20*x**7))-(46*x**6)-(48*x**5)-(11*x**4)-(18*x**3)-(5*x**2)-1))/(((((((4*x**12)-(8*x**11)-(4*x**10))+(36*x**9)+(14*x**8)+(76*x**7))-(48*x**6)-(36*x**5)-(13*x**4)-(30*x**3))+(5*x**2))-(4*x))+1)))] }
-
-
-
-def A003764():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(7*x))-(9*x**2)-(16*x**3))+(16*x**4)))/(((1-(6*x)-(16*x**2))+(29*x**3)+(16*x**4))-(16*x**5)))] }
-
-
-
-def A003765():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+(5*x))-(7*x**2)-(3*x**3))+(12*x**4))-(4*x**5)))/((((1-(5*x)-(3*x**2))+(19*x**3))-(20*x**4))+(4*x**5)))] }
-
-
-
-def A003767():
- x = SR.var('x')
- return { 'ogf': [((8*x*(((1+(4*x))-(70*x**2))+(4*x**3)+x**4))/(((x**2-(4*x))+1)*((((x**4-(136*x**3))+(1170*x**2))-(136*x))+1)))] }
-
-
-
-def A003768():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((((((1-(6*x))+(22*x**2))-(52*x**3))+(34*x**4)+(92*x**5))-(222*x**6))+(184*x**7))-(24*x**8)-(64*x**10)))/((((((((1-(14*x))+(62*x**2))-(148*x**3))+(264*x**4))-(336*x**5))+(256*x**6))-(128*x**7))+(64*x**8)))] }
-
-
-
-def A003769():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(4*x))-x**2))/((1+x)*((1-(5*x))+x**2)))] }
-
-
-
-def A003770():
- x = SR.var('x')
- return { 'ogf': [((3*x*((4*x)+1)*(1-x))/((1-(11*x)-(8*x**2))+(12*x**3)))] }
-
-
-
-def A003771():
- x = SR.var('x')
- return { 'ogf': [((3*x*((1+(3*x))-(2*x**2)))/((1-(7*x))+(2*x**2)))] }
-
-
-
-def A003772():
- x = SR.var('x')
- return { 'ogf': [((12*x*((((((24*x**6)-(164*x**5))+(398*x**4))-(275*x**3))+(55*x**2))-(11*x)-1))/((((2*x**2)-(7*x))+1)**2*(((6*x**2)+(9*x))-1)))] }
-
-
-
-def A003773():
- x = SR.var('x')
- return { 'ogf': [((16*x*(1+(12*x)+x**2))/(((1-(6*x))+x**2)*((x**2-(198*x))+1)))] }
-
-
-
-def A003774():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(20*x**2)+(12*x**3)+(48*x**5)+(24*x**6)))/(1-(12*x)-(4*x**2)-(48*x**3)))] }
-
-
-
-def A003775():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((1-(6*x))+x**2))/((((1-(15*x))+(32*x**2))-(15*x**3))+x**4))] }
-
-
-
-def A003776():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1-(5*x))*(1-x))/((1-(2*x))*((1-(22*x))+(13*x**2))))] }
-
-
-
-def A003777():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(7*x))-(3*x**2))+x**3))/(1-x)**4)] }
-
-
-
-def A003779():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((x**14-(1440*x**12))+(26752*x**11))-(185889*x**10))+(574750*x**9))-(708928*x**8))+(708928*x**6))-(574750*x**5))+(185889*x**4))-(26752*x**3))+(1440*x**2))-1))/((((((((((((((((x**16-(209*x**15))+(11936*x**14))-(274208*x**13))+(3112032*x**12))-(19456019*x**11))+(70651107*x**10))-(152325888*x**9))+(196664896*x**8))-(152325888*x**7))+(70651107*x**6))-(19456019*x**5))+(3112032*x**4))-(274208*x**3))+(11936*x**2))-(209*x))+1)))] }
-
-
-
-def A003878():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(3*x**4))+(21*x**3))-(43*x**2))+(2*x))/(x-1)**5)] }
-
-
-
-def A003945():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)))] }
-
-
-
-def A003946():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(3*x)))] }
-
-
-
-def A003947():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(4*x))),
-((1+x)/(1-(4*x)))] }
-
-
-
-def A003948():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(5*x)))] }
-
-
-
-def A003949():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(6*x)))] }
-
-
-
-def A003950():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(7*x))),
-((1+x)/(1-(7*x)))] }
-
-
-
-def A003951():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(8*x)))] }
-
-
-
-def A003952():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(9*x))),
-((1+x)/(1-(9*x)))] }
-
-
-
-def A003953():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(10*x))),
-((1+x)/(1-(10*x)))] }
-
-
-
-def A003954():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(11*x))),
-((1+x)/(1-(11*x)))] }
-
-
-
-def A004006():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2-x)+1))/(1-x)**4)] }
-
-
-
-def A004068():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/(1-x)**4)] }
-
-
-
-def A004126():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+x**2))/(1-x)**4)] }
-
-
-
-def A004146():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(((1-(4*x))+(4*x**2))-x**3))] }
-
-
-
-def A004148():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+x**2)-sqrt(((1-(2*x)-x**2-(2*x**3))+x**4)))/(2*x**2))] }
-
-
-
-def A004149():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)+x**2+x**3+sqrt(((1-x**4)*(1-(2*x)-x**2)))))] }
-
-
-
-def A004171():
- x = SR.var('x')
- return { 'ogf': [(2/(1-(4*x)))] }
-
-
-
-def A004187():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(7*x))+x**2))] }
-
-
-
-def A004188():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+x**2))/(x-1)**4)] }
-
-
-
-def A004190():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(11*x))+x**2))] }
-
-
-
-def A004253():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(5*x))+x**2))] }
-
-
-
-def A004254():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))+x**2))] }
-
-
-
-def A004255():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(2*x))+(4*x**2)))/(x-1)**5))] }
-
-
-
-def A004273():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((-1)+x)**2)] }
-
-
-
-def A004275():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(1-x)**2)] }
-
-
-
-def A004276():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**10))/((1-x)**2*(1-x**5)))] }
-
-
-
-def A004280():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3))/(1-x)**2)] }
-
-
-
-def A004281():
- x = SR.var('x')
- return { 'ogf': [((1-x**10)/((1-x)**2*(1-x**5)))] }
-
-
-
-def A004282():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(6*x)+x**2))/(1-x)**6)] }
-
-
-
-def A004302():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(3*x**2)))/(1-x)**6)] }
-
-
-
-def A004306():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(2*x**3)+(13*x**4))-(3*x**5)-(6*x**6)-(10*x**7))/((1-(2*x))+x**4))] }
-
-
-
-def A004320():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/(1-x)**5)] }
-
-
-
-def A004396():
- x = SR.var('x')
- return { 'ogf': [((x+x**3)/((1-x)*(1-x**3))),
-((x*(1+x**2))/((1-x-x**3)+x**4))] }
-
-
-
-def A004443():
- x = SR.var('x')
- return { 'ogf': [(((2-x-(2*x**2))+(3*x**3))/((1-x)**2*(1+x**2)))] }
-
-
-
-def A004444():
- x = SR.var('x')
- return { 'ogf': [((((4*x**4)-x**3-x**2-x)+3)/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A004445():
- x = SR.var('x')
- return { 'ogf': [(((4-(3*x)-(4*x**4))+(5*x**5))/((1-x)**2*(1+x**4)))] }
-
-
-
-def A004446():
- x = SR.var('x')
- return { 'ogf': [((((6*x**6)-x**5-(3*x**4)-(2*x**2)-x)+5)/((x-1)**2*(x+1)*(x**4+1)))] }
-
-
-
-def A004447():
- x = SR.var('x')
- return { 'ogf': [((((((((7*x**7)-(6*x**6))+(3*x**5))-(2*x**4)-x**3)+(2*x**2))-(5*x))+6)/((x-1)**2*(x**2+1)*(x**4+1)))] }
-
-
-
-def A004448():
- x = SR.var('x')
- return { 'ogf': [((((8*x**8)-x**7-x**6-x**5-x**4-x**3-x**2-x)+7)/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A004451():
- x = SR.var('x')
- return { 'ogf': [((((((((11*x**11)-(10*x**10))+(7*x**9))-(6*x**8)-(5*x**3))+(6*x**2))-(9*x))+10)/((x-1)**2*(x**2+1)*(x**8+1)))] }
-
-
-
-def A004466():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+x**2))/(1-x)**4)] }
-
-
-
-def A004467():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+x**2))/(1-x)**4)] }
-
-
-
-def A004523():
- x = SR.var('x')
- return { 'ogf': [((x**2+(2*x**3)+(2*x**4)+x**5)/(1-x**3)**2)] }
-
-
-
-def A004524():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)**2*(1+x**2)))] }
-
-
-
-def A004525():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/((1-x)**2*(1+x**2)))] }
-
-
-
-def A004526():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1+x)*(x-1)**2))] }
-
-
-
-def A004647():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(4*x**2))/((-1)+(10*x**3)))] }
-
-
-
-def A004652():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/((1-x)**2*(1-x**2)))] }
-
-
-
-def A004657():
- x = SR.var('x')
- return { 'ogf': [(((1+x**3)*(1+x**4))/((1-x)*(1-x**2)**2*(1-x**4))),
-((((x**2-x)+1)*(1+x**4))/((x**2+1)*(1+x)**2*(x-1)**4))] }
-
-
-
-def A004695():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x**3)*(1-x-x**2)))] }
-
-
-
-def A004696():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**4+x**3+1))/((1-x**8)*(1-x-x**2)))] }
-
-
-
-def A004697():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-x)*(1-x-x**2)*(1+x**2+x**4)))] }
-
-
-
-def A004698():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+x)*((((1-x)+x**3)-x**5)+x**7))/((1-x-x**2)*(1-x**5)*((((1-x**2)+x**4)-x**6)+x**8)))] }
-
-
-
-def A004699():
- x = SR.var('x')
- return { 'ogf': [((x**6*(1+x+x**4+x**6+x**9+x**10+x**11+x**14+x**15+x**17+x**18))/(1-x-x**2-x**24-x**25-x**26))] }
-
-
-
-def A004766():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-5))/(x-1)**2))] }
-
-
-
-def A004767():
- x = SR.var('x')
- return { 'ogf': [((3+x)/(1-x)**2)] }
-
-
-
-def A004770():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(3*x)))/(x-1)**2)] }
-
-
-
-def A004772():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A004773():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2))/((1-x)*(1-x**3)))] }
-
-
-
-def A004776():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**3+(2*x**4)+x**5+x**6))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A004777():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**3+x**4+x**5+(2*x**6)))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A004794():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**12-x**10)+(3*x**9)+(4*x**7))-(356*x**6))+(144*x**5)+(17*x**4)+(21*x**3)+(4*x)+3))/((x-1)*((x**2-(3*x))+1)*(x**2+(3*x)+1)*((((x**4-(3*x**3))+(8*x**2))-(3*x))+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A004799():
- x = SR.var('x')
- return { 'ogf': [(x*((1+(2*x))/(1-x-x**2))**2)] }
-
-
-
-def A004972():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-3572))/(x-1)**2))] }
-
-
-
-def A004981():
- x = SR.var('x')
- return { 'ogf': [(1-(8*x))**(-(1/4))] }
-
-
-
-def A004982():
- x = SR.var('x')
- return { 'ogf': [(1-(8*x))**(-(3/4))] }
-
-
-
-def A004984():
- x = SR.var('x')
- return { 'ogf': [(1-(8*x))**(1/4)] }
-
-
-
-def A004987():
- x = SR.var('x')
- return { 'ogf': [(1-(9*x))**(-(1/3))] }
-
-
-
-def A004988():
- x = SR.var('x')
- return { 'ogf': [(1-(9*x))**(-(2/3))] }
-
-
-
-def A004990():
- x = SR.var('x')
- return { 'ogf': [(1-(9*x))**(1/3),
-(1-(9*x))**(1/3)] }
-
-
-
-def A005009():
- x = SR.var('x')
- return { 'ogf': [(7/(1-(2*x)))] }
-
-
-
-def A005010():
- x = SR.var('x')
- return { 'ogf': [(9/(1-(2*x)))] }
-
-
-
-def A005013():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+x**3)/((1-x-x**2)*((1+x)-x**2)))] }
-
-
-
-def A005015():
- x = SR.var('x')
- return { 'ogf': [(11/(1-(2*x)))] }
-
-
-
-def A005021():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(5*x))+(6*x**2))-x**3))] }
-
-
-
-def A005022():
- x = SR.var('x')
- return { 'ogf': [((1/(((1-(6*x))+(10*x**2))-(4*x**3)))-1)] }
-
-
-
-def A005023():
- x = SR.var('x')
- return { 'ogf': [((1/((((1-(7*x))+(15*x**2))-(10*x**3))+x**4))-1)] }
-
-
-
-def A005025():
- x = SR.var('x')
- return { 'ogf': [((1/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5))-1)] }
-
-
-
-def A005029():
- x = SR.var('x')
- return { 'ogf': [(13/(1-(2*x)))] }
-
-
-
-def A005032():
- x = SR.var('x')
- return { 'ogf': [(7/(1-(3*x)))] }
-
-
-
-def A005043():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((1-(2*x)-(3*x**2))))/(2*x*(1+x))),
-(2/(1+x+sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A005051():
- x = SR.var('x')
- return { 'ogf': [(8/(1-(3*x)))] }
-
-
-
-def A005054():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(5*x)))] }
-
-
-
-def A005055():
- x = SR.var('x')
- return { 'ogf': [(7/(1-(5*x)))] }
-
-
-
-def A005056():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2)/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A005057():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))-(1/(1-(2*x))))] }
-
-
-
-def A005058():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))-(1/(1-(3*x))))] }
-
-
-
-def A005059():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))*(1-(5*x))))] }
-
-
-
-def A005060():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))-(1/(1-(4*x))))] }
-
-
-
-def A005061():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))-(1/(1-(3*x))))] }
-
-
-
-def A005062():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))*(1-(6*x))))] }
-
-
-
-def A005120():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(2*x**3)+x**4))/(1+(3*x)+(5*x**2)+(5*x**3)+(5*x**4)+(3*x**5)+x**6))] }
-
-
-
-def A005126():
- x = SR.var('x')
- return { 'ogf': [(((2-(4*x))+x**2)/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A005131():
- x = SR.var('x')
- return { 'ogf': [(((((-x**5)+(2*x**4))-x**3)+x**2+1)/((x**6-(2*x**3))+1))] }
-
-
-
-def A005159():
- x = SR.var('x')
- return { 'ogf': [(2/(1+sqrt((1-(12*x)))))] }
-
-
-
-def A005178():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/((1-x-(5*x**2)-x**3)+x**4))] }
-
-
-
-def A005207():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(2*x)-x**2)+x**3))/(((x**2+x)-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A005220():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+sqrt((((1-(4*x))+(4*x**2))-(4*x**4))))-(sqrt(2)*sqrt(((1-(4*x**2)-(2*x**4))+(((2*x)+1)*sqrt((((1-(4*x))+(4*x**2))-(4*x**4))))))))/(4*x**2))] }
-
-
-
-def A005232():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)**2*(1-x**2)*(1-x**4))),
-((1+x**3)/((1-x)*(1-x**2)**2*(1-x**4)))] }
-
-
-
-def A005246():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(3*x**2)-(2*x**3))/((1-(4*x**2))+x**4))] }
-
-
-
-def A005247():
- x = SR.var('x')
- return { 'ogf': [(((2+x)-(3*x**2)-x**3)/((1-x-x**2)*((1+x)-x**2)))] }
-
-
-
-def A005248():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(3*x))+x**2))] }
-
-
-
-def A005251():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(2*x))+x**2)-x**3))] }
-
-
-
-def A005252():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-x-x**2)*((1-x)+x**2)))] }
-
-
-
-def A005257():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((x**16+(2*x**14))-(12*x**13))+(8*x**12))-(6*x**11))+(5*x**10))-(3*x**7))+x**6+(9*x**5))-(6*x**4))+(3*x**3))-(2*x**2)-(3*x))+2))/((x-1)*((2*x)-1)*(x**2+1)*((2*x**2)-1)*(x**4+1)*((2*x**4)-1)))] }
-
-
-
-def A005262():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+(4*x**3))/((1+x)*(1-(2*x))*(1-x)**2))] }
-
-
-
-def A005286():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-(3*x**2))+x**3)/(1-x)**4)] }
-
-
-
-def A005313():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x-(3*x**2))+x**3))/(((1-(3*x))+x**2)*(1+x)*(1-x)**2))] }
-
-
-
-def A005314():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(2*x))+x**2)-x**3))] }
-
-
-
-def A005317():
- x = SR.var('x')
- return { 'ogf': [(((1/2)*((-(4*x))+1+(-(((4*x)-1)*((2*x)-1)**2))**(1/2)))/((4*x)-1)/((2*x)-1))] }
-
-
-
-def A005319():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(6*x))+x**2))] }
-
-
-
-def A005320():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((x**2-(4*x))+1))] }
-
-
-
-def A005337():
- x = SR.var('x')
- return { 'ogf': [((x**8*((15-(20*x))+(6*x**2)))/(1-x)**4)] }
-
-
-
-def A005338():
- x = SR.var('x')
- return { 'ogf': [((x**8*(((1+(3*x)+x**2)-(11*x**5))+(7*x**6)))/(1-x)**5)] }
-
-
-
-def A005339():
- x = SR.var('x')
- return { 'ogf': [((x**12*((((35-(56*x))+(25*x**2))-(4*x**3))+x**6))/(1-x)**6)] }
-
-
-
-def A005340():
- x = SR.var('x')
- return { 'ogf': [((x**12*((((1+(6*x)+(6*x**2)+x**3)-(66*x**5))+(74*x**6))-(21*x**7)))/(1-x)**7)] }
-
-
-
-def A005357():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x**3+x**11))/(1-x)**2)] }
-
-
-
-def A005377():
- x = SR.var('x')
- return { 'ogf': [((x**4+x**10)/((1-(2*x))+x**2))] }
-
-
-
-def A005386():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((x**3-(4*x**2)-(4*x))+1))] }
-
-
-
-def A005389():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-x**2))/((1-(8*x))+(10*x**2)+x**4))] }
-
-
-
-def A005408():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x)**2)] }
-
-
-
-def A005409():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)+x**3))/((1-(3*x))+x**2+x**3))] }
-
-
-
-def A005418():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x))*(1-(3*x**2)))/((1-(4*x**2))*(1-(2*x**2))))] }
-
-
-
-def A005429():
- x = SR.var('x')
- return { 'ogf': [((2*x*((2*x*((2*x)+5))+1))/(1-(4*x))**(7/2))] }
-
-
-
-def A005430():
- x = SR.var('x')
- return { 'ogf': [((2*x)/sqrt((1-(4*x))**3))] }
-
-
-
-def A005436():
- x = SR.var('x')
- return { 'ogf': [(((x**2*(((1-(6*x))+(11*x**2))-(4*x**3)))/(1-(4*x))**2)-(4*x**4*(1-(4*x))**(-(3/2))))] }
-
-
-
-def A005449():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/(1-x)**3)] }
-
-
-
-def A005492():
- x = SR.var('x')
- return { 'ogf': [(((((-(7*x**4))-x**3-(17*x**2))+(5*x))-4)/(x-1)**5)] }
-
-
-
-def A005513():
- x = SR.var('x')
- return { 'ogf': [((x**6/12)*((1/(1-x)**6)+(4/(1-x**2)**3)+(2/(1-x**3)**2)+(3/((1-x)**2*(1-x**2)**2))+(2/(1-x**6)))),
-((x**6*(((1-x)+x**2+x**3+(2*x**4)+(2*x**6)+x**8)-x**5))/(((x**2-x)+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**6))] }
-
-
-
-def A005514():
- x = SR.var('x')
- return { 'ogf': [((x**8/16)*((1/(1-x)**8)+(4/(1-x**8))+(5/(1-x**2)**4)+(2/(1-x**4)**2)+(4/(1-x)**2/(1-x**2)**3)))] }
-
-
-
-def A005517():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x)+(3*x**2))-x**4))/(1-(5*x**3)))] }
-
-
-
-def A005563():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x))/(1-x)**3)] }
-
-
-
-def A005564():
- x = SR.var('x')
- return { 'ogf': [((x**3*((6-(4*x))+x**2))/(1-x)**4)] }
-
-
-
-def A005565():
- x = SR.var('x')
- return { 'ogf': [((((20-(25*x))+(14*x**2))-(3*x**3))/(1-x)**5)] }
-
-
-
-def A005570():
- x = SR.var('x')
- return { 'ogf': [((17-x)/(1-x)**3)] }
-
-
-
-def A005572():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-sqrt(((1-(8*x))+(12*x**2))))/(2*x**2))] }
-
-
-
-def A005573():
- x = SR.var('x')
- return { 'ogf': [((sqrt(((1-(2*x))/(1-(6*x))))-1)/(2*x))] }
-
-
-
-def A005578():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x**2)*(1-(2*x)))),
-((1-x-x**2)/((1-(2*x)-x**2)+(2*x**3)))] }
-
-
-
-def A005581():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x))/(1-x)**4)] }
-
-
-
-def A005582():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/(1-x)**5)] }
-
-
-
-def A005583():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/(1-x)**6)] }
-
-
-
-def A005584():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/(1-x)**7)] }
-
-
-
-def A005585():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x)**6)] }
-
-
-
-def A005586():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(6*x))+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A005587():
- x = SR.var('x')
- return { 'ogf': [((((14-(28*x))+(20*x**2))-(5*x**3))/(1-x)**5)] }
-
-
-
-def A005618():
- x = SR.var('x')
- return { 'ogf': [((4-(12*x))/(((6*x)-1)*(x-1)))] }
-
-
-
-def A005665():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-(3*x))+(2*x**3)))] }
-
-
-
-def A005667():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(6*x)-x**2))] }
-
-
-
-def A005668():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(6*x)-x**2))] }
-
-
-
-def A005682():
- x = SR.var('x')
- return { 'ogf': [(x**5/(((x**3+x**2)-1)*(((x**3-x**2)+(2*x))-1)))] }
-
-
-
-def A005683():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-x**3-x**4-x**5)/((1-(2*x))+x**4+x**6))] }
-
-
-
-def A005684():
- x = SR.var('x')
- return { 'ogf': [(x**6/(((x**2+x)-1)*((x**2-x)+1)*((x**4+x**2)-1)))] }
-
-
-
-def A005685():
- x = SR.var('x')
- return { 'ogf': [((-(x**4*((((x**7+x**6+x**5+(2*x**4))-x**3)+x**2)-1)))/(((x**4+x**2)-1)*((x**2-x)+1)*((x**2+x)-1)))] }
-
-
-
-def A005686():
- x = SR.var('x')
- return { 'ogf': [((x+x**2)/(1-x**2-x**5))] }
-
-
-
-def A005687():
- x = SR.var('x')
- return { 'ogf': [(x**7/((1-x**2-x**5)*(((1-(2*x))+x**2)-x**5)))] }
-
-
-
-def A005688():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((1-x**2)+x**3)-(2*x**5)-x**6-x**7-x**8-x**9))/((1-x**2-x**5)*(((1-(2*x))+x**2)-x**5)))] }
-
-
-
-def A005689():
- x = SR.var('x')
- return { 'ogf': [((x**6*(1+x**2+x**3+x**4+x**5))/(((1-(2*x))+x**2)-x**6))] }
-
-
-
-def A005690():
- x = SR.var('x')
- return { 'ogf': [(x**8/(((x**3-x)+1)*((x**3+x)-1)*((x**6+x**2)-1)))] }
-
-
-
-def A005691():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((1-x**2)+x**3)-(2*x**6)-x**7-x**8-x**9-x**10-x**11))/(((x**3-x)+1)*((x**3+x)-1)*((x**6+x**2)-1)))] }
-
-
-
-def A005701():
- x = SR.var('x')
- return { 'ogf': [((x-3)/(x-1)**5)] }
-
-
-
-def A005708():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**6))] }
-
-
-
-def A005709():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**7))] }
-
-
-
-def A005710():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**8))] }
-
-
-
-def A005711():
- x = SR.var('x')
- return { 'ogf': [((1+x**8)/(1-x-x**9))] }
-
-
-
-def A005712():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x)-x**2))/(1-x)**5)] }
-
-
-
-def A005714():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1+(3*x))-(4*x**2))+x**3))/(1-x)**7)] }
-
-
-
-def A005715():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x-2)*(x**2-2))/(1-x)**8)] }
-
-
-
-def A005716():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((1+(6*x))-(9*x**2))+(3*x**3)))/(1-x)**9)] }
-
-
-
-def A005717():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(2*x)-(3*x**2))+((1-x)*sqrt((1-(2*x)-(3*x**2))))))] }
-
-
-
-def A005719():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2-(2*x**2))+x**3))/(1-x)**6)] }
-
-
-
-def A005720():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1+(3*x))-(5*x**2))+(2*x**3)))/(1-x)**7)] }
-
-
-
-def A005744():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2))/((1-x)**4*(1+x)))] }
-
-
-
-def A005745():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**8-x**7-x**6-(2*x**5))+(2*x**4)+x**3)-(3*x**2)-(2*x)-1))/((x**3-1)**2*(x**2-1)**2*(x-1)**4)))] }
-
-
-
-def A005746():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((x**27-(2*x**26))+x**25)-(3*x**23))+(4*x**22))-(2*x**21))+(4*x**20)+(3*x**19))-(5*x**18)-(5*x**17)-(19*x**16)-(24*x**15)-(31*x**14)-(86*x**13)-(123*x**12)-(205*x**11)-(248*x**10)-(253*x**9)-(242*x**8)-(201*x**7)-(127*x**6)-(92*x**5)-(35*x**4)-(26*x**3)-(9*x**2)-(3*x)-1))/((x**4-1)**3*(x**3-1)**4*(x**2-1)**3*(x-1)**6)))] }
-
-
-
-def A005773():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((3*x)-1)+sqrt((1-(2*x)-(3*x**2))))),
-(((1/2)*((1+x)/(1-(3*x)))**(1/2))+(1/2))] }
-
-
-
-def A005774():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2))))/(x*((1-(3*x))+sqrt((1-(2*x)-(3*x**2))))))] }
-
-
-
-def A005775():
- x = SR.var('x')
- return { 'ogf': [((((x**2+x)-1)+(((x**2-(3*x))+1)*sqrt(((1+x)/(1-(3*x))))))/(2*x**2))] }
-
-
-
-def A005783():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**4+(2*x**3)+x**2+1)/((1-x**3)**2*(1-x**2)**2*(1-x)**3))] }
-
-
-
-def A005784():
- x = SR.var('x')
- return { 'ogf': [(((((x**20-x**19)+(4*x**18)+(9*x**17)+(23*x**16)+(39*x**15)+(90*x**14)+(131*x**13)+(204*x**12)+(238*x**11)+(252*x**10)+(238*x**9)+(204*x**8)+(131*x**7)+(90*x**6)+(39*x**5)+(23*x**4)+(9*x**3)+(4*x**2))-x)+1)/((1-x**4)**3*(1-x**3)**4*(1-x**2)**3*(1-x)**5))] }
-
-
-
-def A005803():
- x = SR.var('x')
- return { 'ogf': [(1+((2*x**3)/((1-x)**2*(1-(2*x)))))] }
-
-
-
-def A005807():
- x = SR.var('x')
- return { 'ogf': [((1-x-((1+x)*sqrt((1-(4*x)))))/(2*x**2))] }
-
-
-
-def A005843():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(1-x)**2)] }
-
-
-
-def A005868():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*(((x**8+x**7)-x**5-x**4-x**3)+x+1))/((x-1)**3*(x+1)**2*(x**2+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A005891():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+x**2)/(1-x)**3)] }
-
-
-
-def A005893():
- x = SR.var('x')
- return { 'ogf': [((1-x**4)/(1-x)**4)] }
-
-
-
-def A005894():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2))/(1-x)**4)] }
-
-
-
-def A005897():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(4*x)+x**2))/(1-x)**3)] }
-
-
-
-def A005898():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(5*x**2)+x**3)/((((1-(4*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A005899():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**3] }
-
-
-
-def A005900():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/(1-x)**4)] }
-
-
-
-def A005903():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(28*x)+x**2))/(1-x)**3)] }
-
-
-
-def A005910():
- x = SR.var('x')
- return { 'ogf': [((x*((6*x**3)+(55*x**2)+(34*x)+1))/(x-1)**4)] }
-
-
-
-def A005914():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(10*x)+x**2))/(1-x)**3)] }
-
-
-
-def A005915():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(7*x**2))/(1-x)**4)] }
-
-
-
-def A005916():
- x = SR.var('x')
- return { 'ogf': [(((((x**14-x**13)+x**11+x**5)-x)+1)/((1-x**13)*(1-x**4)*(1-x**2)*(1-x)))] }
-
-
-
-def A005918():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-x**3))/(1-x)**5)] }
-
-
-
-def A005943():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2+(2*x**3)+(4*x**4)+(4*x**6))-(2*x**7)-(2*x**9))/(1-x)**2)] }
-
-
-
-def A005945():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(11*x)+(6*x**2)))/(1-x)**4)] }
-
-
-
-def A005968():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-x**2))/((1-x)*((1+x)-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A005969():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((x**2-(5*x))+1))/((x**2+(3*x)+1)*((x**2-(7*x))+1)*(x-1)**2))] }
-
-
-
-def A005970():
- x = SR.var('x')
- return { 'ogf': [(((1+(7*x))-(4*x**2))/((1-x)*(1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A005971():
- x = SR.var('x')
- return { 'ogf': [(((1+(24*x))-(23*x**2)-(8*x**3))/((1-x)*((1+x)-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A005972():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(76*x))-(164*x**2)-(79*x**3))+(16*x**4)))/((1-x)**2*(1+(3*x)+x**2)*((1-(7*x))+x**2)))] }
-
-
-
-def A005985():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(2*x))-(4*x**2))+(4*x**3)))/((x-1)*((2*x)+1)*(1+x)*((-1)+(2*x))**2)))] }
-
-
-
-def A005993():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)**2*(1-x**2)**2)),
-((1+x**2)/((1-x)**2*(1-x**2)**2))] }
-
-
-
-def A005994():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)**3*(1-x**2)**2))] }
-
-
-
-def A005995():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**2))/((1-x)**3*(1-x**2)**3))] }
-
-
-
-def A005996():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x**3))/((1-x)**5*(1+x)**2))] }
-
-
-
-def A005997():
- x = SR.var('x')
- return { 'ogf': [(((x**3+(3*x**2)+x+1)*x)/(((-1)+x)**2*((-1)+x**2)**2))] }
-
-
-
-def A005998():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(2*x**3)+(2*x**2)+1))/((-1)+x)**2/((-1)+x**2)**2)] }
-
-
-
-def A005999():
- x = SR.var('x')
- return { 'ogf': [((x**5+(2*x**4)+x**3+x**2+1)/(((-1)+x)**2*((-1)+x**2)**2))] }
-
-
-
-def A006000():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/(1-x)**4)] }
-
-
-
-def A006001():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**3))/(1-x)**4)] }
-
-
-
-def A006002():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2))/(1-x)**4)] }
-
-
-
-def A006003():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/(x-1)**4)] }
-
-
-
-def A006004():
- x = SR.var('x')
- return { 'ogf': [((x**3+x**2+1)/(x-1)**4)] }
-
-
-
-def A006007():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1-x)**5)] }
-
-
-
-def A006009():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1-x**3))/((1-x)**4*(1-x**2)**2))] }
-
-
-
-def A006010():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(2*x**3)+(6*x**2)+(2*x)+1))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A006011():
- x = SR.var('x')
- return { 'ogf': [((3*(1+x))/(1-x)**5)] }
-
-
-
-def A006012():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A006051():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(26*x))+x**2))/((1-x)*((1-(194*x))+x**2)))] }
-
-
-
-def A006053():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x-(2*x**2))+x**3)),
-(x**2/((1-x-(2*x**2))+x**3))] }
-
-
-
-def A006054():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x)-x**2)+x**3))] }
-
-
-
-def A006078():
- x = SR.var('x')
- return { 'ogf': [(((4*(1-x-x**2))-((1-(2*x))*(1-(4*x))**(1/2))-(3*(1-(4*x**2))**(1/2)))/(8*x**2))] }
-
-
-
-def A006090():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**6-x**6))] }
-
-
-
-def A006095():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A006096():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1-(2*x))*(1-(4*x))*(1-(8*x))))] }
-
-
-
-def A006097():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)*(1-(2*x))*(1-(4*x))*(1-(8*x))*(1-(16*x))))] }
-
-
-
-def A006100():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1-(3*x))*(1-(9*x))))] }
-
-
-
-def A006101():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1-(3*x))*(1-(9*x))*(1-(27*x))))] }
-
-
-
-def A006105():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A006111():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1-(5*x))*(1-(25*x))))] }
-
-
-
-def A006124():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))+(6*x**2))/(1-x)**3)] }
-
-
-
-def A006131():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(4*x**2))),
-(1/(1-(x/(1-((4*x)/(1+(4*x)))))))] }
-
-
-
-def A006134():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*sqrt((1-(4*x)))))] }
-
-
-
-def A006138():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(3*x**2)))] }
-
-
-
-def A006139():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x)-(4*x**2))**(1/2))] }
-
-
-
-def A006148():
- x = SR.var('x')
- return { 'ogf': [(((((x**20-x**19)+(4*x**18)+(9*x**17)+(23*x**16)+(39*x**15)+(90*x**14)+(131*x**13)+(204*x**12)+(238*x**11)+(252*x**10)+(238*x**9)+(204*x**8)+(131*x**7)+(90*x**6)+(39*x**5)+(23*x**4)+(9*x**3)+(4*x**2))-x)+1)/((1-x**4)**3*(1-x**3)**4*(1-x**2)**3*(1-x)**6))] }
-
-
-
-def A006190():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)-x**2))] }
-
-
-
-def A006192():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/(((1-(4*x))+(3*x**2))-(2*x**3)-x**4))] }
-
-
-
-def A006221():
- x = SR.var('x')
- return { 'ogf': [((5+(97*x)+(97*x**2)+(5*x**3))/(1-x)**4)] }
-
-
-
-def A006222():
- x = SR.var('x')
- return { 'ogf': [((3+(16*x)+(3*x**2))/(1-x)**3)] }
-
-
-
-def A006235():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-(10*x**2))+(2*x**3)+x**4))/((1-x)*((1-(4*x))+x**2))**2)] }
-
-
-
-def A006238():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-1))/((((x**4-(15*x**3))+(32*x**2))-(15*x))+1)))] }
-
-
-
-def A006239():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(7*x**2)))/((1-x)*(1-(7*x))*((1-(5*x))+(7*x**2))))] }
-
-
-
-def A006240():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(167*x**2))+(1200*x**3))-(2505*x**4))+(3375*x**6)))/((1-x)*(1-(3*x))*(1-(5*x))*(1-(15*x))*((1-(4*x))+(5*x**2))*((1-(12*x))+(45*x**2))))] }
-
-
-
-def A006251():
- x = SR.var('x')
- return { 'ogf': [(4/((2-(2*x))+sqrt((1-(4*x)))+sqrt((1-(4*x**2)))))] }
-
-
-
-def A006253():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+x)*((1-(4*x))+x**2)))] }
-
-
-
-def A006261():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(7*x**2))-(6*x**3))+(3*x**4))/(1-x)**6)] }
-
-
-
-def A006295():
- x = SR.var('x')
- return { 'ogf': [((x*(1-sqrt((1-(4*x))))*(11+(12*x)+(9*sqrt((1-(4*x))))))/(4*((4*x)-1)**4))] }
-
-
-
-def A006296():
- x = SR.var('x')
- return { 'ogf': [((x*(1-sqrt((1-(4*x))))*(45+(152*x)+((25+(8*x))*sqrt((1-(4*x))))))/(2*(1-(4*x))**(11/2)))] }
-
-
-
-def A006318():
- x = SR.var('x')
- return { 'ogf': [((1-x-((1-(6*x))+x**2)**(1/2))/(2*x))] }
-
-
-
-def A006321():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-(8*x**3))+(16*x**2))-(8*x))+1+(sqrt(((x**2-(6*x))+1))*(x-1)*((x**2-(4*x))+1)))/(2*x**4))] }
-
-
-
-def A006322():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/(1-x)**5)] }
-
-
-
-def A006323():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-x**2-(5*x)))/(x-1)**5)] }
-
-
-
-def A006324():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+x**2)/(1-x)**5)] }
-
-
-
-def A006325():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)**2)/(x-1)**5))] }
-
-
-
-def A006327():
- x = SR.var('x')
- return { 'ogf': [((x**5*(2+x))/((1-x)*(1-x-x**2)))] }
-
-
-
-def A006331():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x))/(1-x)**4)] }
-
-
-
-def A006332():
- x = SR.var('x')
- return { 'ogf': [((2*(x+1)*(x**2+(6*x)+1))/(1-x)**7)] }
-
-
-
-def A006333():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(20*x)+(75*x**2)+(75*x**3)+(20*x**4)+x**5))/(1-x)**10)] }
-
-
-
-def A006334():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x+1)*(x**6+(41*x**5)+(323*x**4)+(678*x**3)+(323*x**2)+(41*x)+1))/(x-1)**13))] }
-
-
-
-def A006355():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/(1-x-x**2))] }
-
-
-
-def A006356():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(2*x)-x**2)+x**3))] }
-
-
-
-def A006357():
- x = SR.var('x')
- return { 'ogf': [(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-1))))))))] }
-
-
-
-def A006359():
- x = SR.var('x')
- return { 'ogf': [(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-1))))))))))))] }
-
-
-
-def A006360():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**6+(36*x**5)+(279*x**4)+(594*x**3)+(279*x**2)+(36*x)+1))/(1-x)**13)] }
-
-
-
-def A006361():
- x = SR.var('x')
- return { 'ogf': [((x**10+(88*x**9)+(1841*x**8)+(13812*x**7)+(44050*x**6)+(64374*x**5)+(44050*x**4)+(13812*x**3)+(1841*x**2)+(88*x)+1)/(1-x)**17)] }
-
-
-
-def A006367():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-x-x**2)**2)] }
-
-
-
-def A006368():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2+(3*x**3)+x**4))/((1-x**2)*(1-x**4)))] }
-
-
-
-def A006369():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**2)+(3*x**3)+x**4))/(1-x**3)**2)] }
-
-
-
-def A006370():
- x = SR.var('x')
- return { 'ogf': [(((4*x)+x**2+(2*x**3))/(1-x**2)**2)] }
-
-
-
-def A006408():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**2+(11*x)+4))/(x-1)**7))] }
-
-
-
-def A006411():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)))/(1-x)**6)] }
-
-
-
-def A006414():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+x**2)/(1-x)**6)] }
-
-
-
-def A006416():
- x = SR.var('x')
- return { 'ogf': [((((1+(4*x))-(6*x**2))+(2*x**3))/(1-x)**4)] }
-
-
-
-def A006417():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((5*x**6)-(29*x**5))+(65*x**4))-(63*x**3))+(12*x**2)+(13*x)+1))/(x-1)**7))] }
-
-
-
-def A006418():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((((14*x**9)-(120*x**8))+(440*x**7))-(879*x**6))+(980*x**5))-(482*x**4)-(92*x**3))+(134*x**2)+(28*x)+1))/(x-1)**10)] }
-
-
-
-def A006422():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)+(5*x**2))-(19*x)-4))/(x-1)**7)] }
-
-
-
-def A006431():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((36*x**13)+(28*x**12)+(32*x**11)+(21*x**10)+(17*x**9)+(14*x**8)+(13*x**7)+(12*x**6)+(5*x**5)+(2*x**4))-x**3-(3*x**2)-(2*x)-1))/((4*x**3)-1))] }
-
-
-
-def A006434():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((x**6+(8*x**5))-(13*x**4))+(22*x**3)+(105*x**2)+(40*x)+2))/(x-1)**10)] }
-
-
-
-def A006442():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(10*x))+x**2)))] }
-
-
-
-def A006451():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(3*x))+(2*x**2)+x**3))/(x-1)/((x**2+(2*x))-1)/(x**2-(2*x)-1))] }
-
-
-
-def A006452():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(4*x**2)-(2*x**3))/(((x**2+(2*x))-1)*(x**2-(2*x)-1)))] }
-
-
-
-def A006458():
- x = SR.var('x')
- return { 'ogf': [(((x*((6*x**4)+(2*x**3)+x+2))+1)/((x-1)**2*((3*x)-1)*((2*x**2*(x+1))-1)))] }
-
-
-
-def A006468():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3-(4*x**2))+(2*x)+5)/(x-1)**7))] }
-
-
-
-def A006469():
- x = SR.var('x')
- return { 'ogf': [((1/(x-1)**7)*((3*x**2)-(9*x)-10))] }
-
-
-
-def A006470():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/(1-x)**6)] }
-
-
-
-def A006471():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**3)+(35*x**2)+(34*x)+5))/(x-1)**10)] }
-
-
-
-def A006478():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1-x-x**2)**2))] }
-
-
-
-def A006483():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(6*x**2))/((1-x)*(1-(2*x)-(4*x**2)))))] }
-
-
-
-def A006490():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/(1-x-x**2)**2)] }
-
-
-
-def A006491():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*((1-(2*x))+(2*x**2)))/(1-x-x**2)**3)] }
-
-
-
-def A006495():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x))+(5*x**2)))] }
-
-
-
-def A006497():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/(1-(3*x)-x**2))] }
-
-
-
-def A006498():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x**2)*(1-x-x**2))),
-(1/(1-x-x**2)/(1+x**2))] }
-
-
-
-def A006499():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(6*x**2)+(2*x**3))/((1+x**2)*(1-x-x**2)))] }
-
-
-
-def A006503():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(2*x)))/(1-x)**4)] }
-
-
-
-def A006516():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A006522():
- x = SR.var('x')
- return { 'ogf': [(-((((x-1)*x*((x*((4*x)-5))+5))+1)/(x-1)**5))] }
-
-
-
-def A006529():
- x = SR.var('x')
- return { 'ogf': [(((-(77*x**4))-(17*x**3)-(5*x**2)-x)/(x-1)**5)] }
-
-
-
-def A006542():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+(3*x)+x**2))/(1-x)**7)] }
-
-
-
-def A006564():
- x = SR.var('x')
- return { 'ogf': [((x*((6*x**2)+(8*x)+1))/(x-1)**4)] }
-
-
-
-def A006566():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)+(10*x**2)))/(1-x)**4)] }
-
-
-
-def A006589():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A006597():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+(4*x**2)))/(1-x)**4)] }
-
-
-
-def A006603():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**2)-sqrt(((1-(6*x))+x**2)))/(2*x*((1-x)+x**2+x**3)))] }
-
-
-
-def A006604():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(2*x**2)-sqrt(((1-(6*x))+x**2)))/(2*(((2*x)-x**2-x**3)+x**4)))] }
-
-
-
-def A006645():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-x**2))**2] }
-
-
-
-def A006646():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(((2*x)-1)*(((4*x**2)+(4*x))-1)))] }
-
-
-
-def A006659():
- x = SR.var('x')
- return { 'ogf': [(32/(sqrt((1-(4*x)))*(1+sqrt((1-(4*x))))**4))] }
-
-
-
-def A006668():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))*(1-(4*x)-(4*x**2))))] }
-
-
-
-def A006684():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((x**2+x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A006743():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+x**2)-x**4-(x**2*sqrt((1-(4*x**2)))))/((1+x)**2*(1-(2*x))**2))] }
-
-
-
-def A006858():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(6*x)+x**2))/(1-x)**7)] }
-
-
-
-def A006859():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(19*x)+(56*x**2)+(19*x**3)+x**4))/(1-x)**10)] }
-
-
-
-def A006864():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((1-(2*x)-(2*x**2))+(2*x**3))-x**4))] }
-
-
-
-def A006865():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-(11*x)-(2*x**3)))] }
-
-
-
-def A006904():
- x = SR.var('x')
- return { 'ogf': [((x**4*((-x**2)-x-1))/((1+x)**2*((2*x)-1)))] }
-
-
-
-def A006918():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**2*(1-x**2)**2))] }
-
-
-
-def A006974():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x))**5)] }
-
-
-
-def A006975():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x))**6)] }
-
-
-
-def A006976():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x))**7)] }
-
-
-
-def A006979():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-x-x**2-x**3-x**4)*(1-x-x**2-x**3-x**4-x**5)))] }
-
-
-
-def A006980():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-x-x**2-x**3-x**4-x**5)*(1-x-x**2-x**3-x**4-x**5-x**6)))] }
-
-
-
-def A007009():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**3))/((1-x)**4*(1-x**2)**2))] }
-
-
-
-def A007010():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(21*x**2)+(28*x**3)+(21*x**4)+(6*x**5)+x**6)/((1+x)**3*(1-x)**9))] }
-
-
-
-def A007039():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)*((1-(2*x))+(2*x**2)))/(((1-x)+x**2)*(1-x-x**2)))] }
-
-
-
-def A007040():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1+x+(2*x**2))-x**4))/((1-x-x**2)*(1+x+x**2)))] }
-
-
-
-def A007051():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A007052():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(4*x))+(2*x**2))),
-((1-x)/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A007068():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((2*x**2)-(2*x)-1))/((1-(4*x**2))+(2*x**4))))] }
-
-
-
-def A007070():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x))+(2*x**2))),
-(1/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A007086():
- x = SR.var('x')
- return { 'ogf': [(((((((22*x**18)-(21*x**17))+x**16)-(2*x**13)-(7*x**12)-(15*x**9))+(2*x**8)+(2*x**7))-(2*x**5)-(2*x**4)-x**3-x**2-x)/(((-x**4)+x**3+x)-1))] }
-
-
-
-def A007123():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(sqrt((1-(4*x)))*sqrt((1-(4*x**2)))))/(4*sqrt((1-(4*x**2))))),
-((sqrt(((1+(2*x))/(1-(2*x))))-sqrt((1-(4*x))))/4)] }
-
-
-
-def A007179():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A007202():
- x = SR.var('x')
- return { 'ogf': [((x**4+(10*x**3)+(20*x**2)+(10*x)+1)/(x-1)**4/(x+1))] }
-
-
-
-def A007204():
- x = SR.var('x')
- return { 'ogf': [((1+(54*x**2)+(20*x)+(20*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A007272():
- x = SR.var('x')
- return { 'ogf': [(((11-(32*x))+(9*sqrt((1-(4*x)))))/((1-(3*x))+((1-x)*sqrt((1-(4*x))))))] }
-
-
-
-def A007283():
- x = SR.var('x')
- return { 'ogf': [(3/(1-(2*x)))] }
-
-
-
-def A007290():
- x = SR.var('x')
- return { 'ogf': [((2*x**3)/(1-x)**4)] }
-
-
-
-def A007291():
- x = SR.var('x')
- return { 'ogf': [((7+(28*x)+(9*x**2))/(1-x)**5)] }
-
-
-
-def A007317():
- x = SR.var('x')
- return { 'ogf': [((3/2)-((1/2)*sqrt(((1-(5*x))/(1-x))))),
-(((-1)+x+((1-(6*x))+(5*x**2))**(1/2))/(2*((-x)+x**2)))] }
-
-
-
-def A007380():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)+x**3+x**5+x**6))/((-1)+x**2+x**7)))] }
-
-
-
-def A007381():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**8+x**7+x**5+x**3+(2*x)+1))/((x**9+x**2)-1)))] }
-
-
-
-def A007383():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/((x-1)**2*(x+1)**2*((x**3+x**2)-1))))] }
-
-
-
-def A007384():
- x = SR.var('x')
- return { 'ogf': [(-(x**5/(((x**5+x**2)-1)*(x-1)**2*(1+x)**2)))] }
-
-
-
-def A007385():
- x = SR.var('x')
- return { 'ogf': [(-(x**7/(((x**7+x**2)-1)*(x-1)**2*(1+x)**2)))] }
-
-
-
-def A007386():
- x = SR.var('x')
- return { 'ogf': [(-(x**9/(((x**9+x**2)-1)*(x-1)**2*(1+x)**2)))] }
-
-
-
-def A007387():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-(2*x**3))-2-(3*x))+(3*x**6)))/((-1)+x**2+x**5))] }
-
-
-
-def A007388():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((5*x**10)+(3*x**8))-(2*x**5)-(2*x**3)-(3*x)-2))/((x**7+x**2)-1))] }
-
-
-
-def A007389():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((7*x**14)+(5*x**12)+(3*x**10))-(2*x**7)-(2*x**5)-(2*x**3)-(3*x)-2))/((x**9+x**2)-1))] }
-
-
-
-def A007391():
- x = SR.var('x')
- return { 'ogf': [((x**6*(x**2-3))/((x-1)**2*(x+1)**2*((x**3+x**2)-1)))] }
-
-
-
-def A007392():
- x = SR.var('x')
- return { 'ogf': [((x**10*((-5)+(3*x**2)))/(((x**5+x**2)-1)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A007393():
- x = SR.var('x')
- return { 'ogf': [((x**14*((-7)+(5*x**2)))/(((x**7+x**2)-1)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A007394():
- x = SR.var('x')
- return { 'ogf': [((x**18*((7*x**2)-9))/((x-1)**2*(x+1)**2*((x**9+x**2)-1)))] }
-
-
-
-def A007395():
- x = SR.var('x')
- return { 'ogf': [(2/(1-x))] }
-
-
-
-def A007420():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((1-(2*x))+(4*x**2))-(4*x**3)))] }
-
-
-
-def A007440():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x)+sqrt((1+(2*x)+(5*x**2))))/(2*x))] }
-
-
-
-def A007450():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((7*x**7)-(3*x**6))+(2*x**5)+x**4)-(6*x**3))+(3*x)+5))/((x-1)*(x**8+1))))] }
-
-
-
-def A007465():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(6*x**4))+(12*x**3))-(10*x**2))+(4*x))/((2*x)-1)**5)] }
-
-
-
-def A007466():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**3)-(2*x**2))+x)/((2*x)-1)**3))] }
-
-
-
-def A007477():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x**2)-(4*x**3))))/(2*x**2))] }
-
-
-
-def A007481():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x)+1)/(((-(2*x**4))-(3*x**2))+1))] }
-
-
-
-def A007482():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x)-(2*x**2)))] }
-
-
-
-def A007483():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(3*x)-(2*x**2)))] }
-
-
-
-def A007487():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(502*x)+(14608*x**2)+(88234*x**3)+(156190*x**4)+(88234*x**5)+(14608*x**6)+(502*x**7)+x**8))/(1-x)**11)] }
-
-
-
-def A007492():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x**2))/((1+x)*(1-x-x**2)))] }
-
-
-
-def A007494():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2))/((1-x)**2*(1+x)))] }
-
-
-
-def A007502():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**3)/(1-x-x**2)**2)] }
-
-
-
-def A007518():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((x+1)*(x-1)**4))] }
-
-
-
-def A007531():
- x = SR.var('x')
- return { 'ogf': [((6*x**2)/(1-x)**4)] }
-
-
-
-def A007533():
- x = SR.var('x')
- return { 'ogf': [((2+(35*x)+(13*x**2))/(1-x)**3)] }
-
-
-
-def A007564():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-sqrt(((1-(8*x))+(4*x**2))))/(6*x))] }
-
-
-
-def A007581():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(5*x**2))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A007582():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A007583():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(5*x))+(4*x**2)))] }
-
-
-
-def A007584():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)))/(1-x)**4)] }
-
-
-
-def A007585():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)))/(1-x)**4)] }
-
-
-
-def A007586():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)))/(1-x)**4)] }
-
-
-
-def A007587():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)))/(1-x)**4)] }
-
-
-
-def A007588():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+x**2))/(1-x)**4)] }
-
-
-
-def A007590():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1+x)*(1-x)**3))] }
-
-
-
-def A007595():
- x = SR.var('x')
- return { 'ogf': [((2-(2*x)-sqrt((1-(4*x)))-sqrt((1-(4*x**2))))/x/4)] }
-
-
-
-def A007598():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A007612():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x**4)+(3*x**3)+x**2)/((x+1)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A007613():
- x = SR.var('x')
- return { 'ogf': [(((5*x)-1)/((x+1)*((8*x)-1)))] }
-
-
-
-def A007654():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*(1+x))/((-1)+x)/((1-(14*x))+x**2)))] }
-
-
-
-def A007655():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(14*x))+x**2))] }
-
-
-
-def A007667():
- x = SR.var('x')
- return { 'ogf': [((5*x*((1-(26*x))+x**2))/((1-x)*((1-(98*x))+x**2)))] }
-
-
-
-def A007679():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(3*x**2)))/((1-(2*x))*(1+x**2)))] }
-
-
-
-def A007689():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(2*x))*(1-(3*x))))] }
-
-
-
-def A007742():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(3*x)))/(1-x)**3)] }
-
-
-
-def A007750():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+x**2))/((1-x)*((1-(16*x**2))+x**4)))] }
-
-
-
-def A007751():
- x = SR.var('x')
- return { 'ogf': [((x*(7+x))/((1-x)*((1-(16*x))+x**2)))] }
-
-
-
-def A007752():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)))/((1-x)*((1-(16*x))+x**2)))] }
-
-
-
-def A007758():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x)))/(1-(2*x))**3)] }
-
-
-
-def A007786():
- x = SR.var('x')
- return { 'ogf': [((x*((((((x**10-(15*x**8))+(6*x**7)+(50*x**6))-(26*x**5)-(39*x**4))+(36*x**3))-(4*x**2)-(4*x))+1))/((((((x**6+(2*x**5))-(9*x**4)-(5*x**3))+(15*x**2))-(8*x))+1)*(((((x**6+(2*x**5))-(7*x**4)-(3*x**3))+(7*x**2))-(4*x))+1)))] }
-
-
-
-def A007798():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/((x-1)*((3*x)-1)*((5*x)-1))))] }
-
-
-
-def A007800():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**4-x)+1))/((x-1)**2*((x**3+x**2+x)-1))))] }
-
-
-
-def A007805():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(18*x))+x**2))] }
-
-
-
-def A007817():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2-(5*x)-(4*x**2))+(sqrt((1-(4*x)))*((-2)+x+(2*x**2)))))/((1-(4*x))*((1-(4*x))+(2*x**2)+(sqrt((1-(4*x)))*(1-(2*x))))))] }
-
-
-
-def A007877():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*(1+x**2))),
-((x*(1+x)**2)/(1-x**4))] }
-
-
-
-def A007892():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+(3*x)+(5*x**2))-(8*x**3))+x**4)-x**5-(3*x**6))+(4*x**7)))/((1-x)**3*(1+x+x**2+x**3)**2))] }
-
-
-
-def A007900():
- x = SR.var('x')
- return { 'ogf': [((1+(54*x**2)+(20*x)+(20*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A007901():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((((1-(3*x))+x**2)*sqrt((1-(4*x))))-1)+(5*x))-x**2-(6*x**3)))/(((1-(7*x))+(14*x**2))-(9*x**3)))] }
-
-
-
-def A007909():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(((1-(2*x))+x**2)-(2*x**3)))] }
-
-
-
-def A007910():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1+x**2)))] }
-
-
-
-def A007971():
- x = SR.var('x')
- return { 'ogf': [(1-sqrt((1-(2*x)-(3*x**2)))),
-(1-sqrt((1-(2*x)-(3*x**2))))] }
-
-
-
-def A007980():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)**2*(1-x**3)))] }
-
-
-
-def A007981():
- x = SR.var('x')
- return { 'ogf': [(-((x**8*(x**3-x-1))/((x-1)**4*(x+1)**2*(x**2+x+1))))] }
-
-
-
-def A007982():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((x**8+x**7)-x**6-x**5)+(2*x**4)+(2*x**3))-(3*x)-2))/((x-1)**4*(x+1)**2*(x**2+x+1))))] }
-
-
-
-def A007983():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**4-x-1))/((x-1)**4*(x+1)**2*(x**2+x+1))))] }
-
-
-
-def A007993():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((-3)+(6*x))-(13*x**2))+(18*x**3))-(12*x**4))+(3*x**5)))/(x-1)**6))] }
-
-
-
-def A007994():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((8*x**9)-(54*x**8))+(144*x**7))-(178*x**6))+(60*x**5)+(102*x**4))-(137*x**3))+(70*x**2))-(18*x))+4))/(x-1)**10)] }
-
-
-
-def A007995():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((-(45*x**15))+(520*x**14))-(2705*x**13))+(8340*x**12))-(16875*x**11))+(23430*x**10))-(22710*x**9))+(15480*x**8))-(7695*x**7))+(3300*x**6))-(1586*x**5))+(745*x**4))-(235*x**3))+(40*x**2))-(5*x))/(x-1)**15)] }
-
-
-
-def A007997():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+x**3))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A008000():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(6*x**2)+(9*x**3)+(9*x**4)+(6*x**5)+(3*x**6)+x**7)/((1-x)**3*(1+x+x**2)**2))] }
-
-
-
-def A008013():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)**3*(x**8+(3*x**6)+(5*x**4)+(3*x**2)+1))/((x-1)**3*(x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A008014():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*(x**2+x+1)*(x**8+(2*x**7)+(3*x**6)+x**5+x**3+(3*x**2)+(2*x)+1))/((x-1)**3*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A008047():
- x = SR.var('x')
- return { 'ogf': [((((2*x**15)+x**14)-(12*x**12)-(31*x**11)-(67*x**10)-(101*x**9)-(128*x**8)-(132*x**7)-(120*x**6)-(89*x**5)-(59*x**4)-(29*x**3)-(14*x**2)-(4*x)-1)/((x-1)**3*(x+1)*(x**2+1)**3*(x**2+x+1)**2))] }
-
-
-
-def A008048():
- x = SR.var('x')
- return { 'ogf': [(((3*x**14)-(4*x**13)-(6*x**12)-(40*x**11)-(58*x**10)-(106*x**9)-(121*x**8)-(136*x**7)-(117*x**6)-(90*x**5)-(58*x**4)-(32*x**3)-(14*x**2)-(4*x)-1)/((x-1)**3*(x+1)*(x**2+1)**3*(x**2+x+1)**2))] }
-
-
-
-def A008084():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)**3*((((x**4-x**3)+(3*x**2))-x)+1))/((x-1)**3*(x**2+1)*(x**2+x+1))))] }
-
-
-
-def A008130():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(1+x))/((1+x+x**2)**2*(x-1)**3)))] }
-
-
-
-def A008133():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**2+1))/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A008217():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((x**2-x)+1))/((x-1)**3*(x+1)*(x**2+1)**2)))] }
-
-
-
-def A008218():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**6+x**4+(2*x**3)+x**2+1))/((x-1)**4*(x+1)**3*(x**2+1)**3))] }
-
-
-
-def A008233():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(1+x**6+x**2+(2*x**3)+x**4))/((1+x)**3*(x**2+1)**3*(x-1)**5)))] }
-
-
-
-def A008259():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**6+(2*x**5)+(5*x**4)+(6*x**3)+(5*x**2)+(2*x)+1))/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A008260():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2)+(5*x**3)+(5*x**4)+(3*x**5)+(2*x**6)+x**7)/((1-x)**3*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A008264():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(5*x**2)+(5*x**3)+(5*x**4)+(2*x**5)+x**6)/((1-x)**3*(1+x+x**2+x**3)))] }
-
-
-
-def A008340():
- x = SR.var('x')
- return { 'ogf': [((x**8+(232*x**7)+(24508*x**6)+(107224*x**5)+(133510*x**4)+(55384*x**3)+(7228*x**2)+(232*x)+1)/(x-1)**8)] }
-
-
-
-def A008346():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x**2)-x**3))] }
-
-
-
-def A008349():
- x = SR.var('x')
- return { 'ogf': [((1+(232*x)+(7228*x**2)+(107224*x**5)+(133510*x**4)+(55384*x**3)+(24508*x**6)+(232*x**7)+x**8)/(1-x)**9)] }
-
-
-
-def A008353():
- x = SR.var('x')
- return { 'ogf': [(-((((8*x**2)-(4*x))+1)/(((2*x)-1)**2*((4*x)-1))))] }
-
-
-
-def A008355():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(34*x)+(146*x**2)+(34*x**3)+x**4))/(1-x)**5)] }
-
-
-
-def A008356():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(34*x)+(146*x**2)+(34*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A008357():
- x = SR.var('x')
- return { 'ogf': [((x**6+(54*x**5)+(447*x**4)+(852*x**3)+(447*x**2)+(54*x)+1)/(x-1)**6)] }
-
-
-
-def A008358():
- x = SR.var('x')
- return { 'ogf': [((1+(54*x)+(447*x**2)+(852*x**3)+(447*x**4)+(54*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A008360():
- x = SR.var('x')
- return { 'ogf': [((x**7+(77*x**6)+(931*x**5)+(2863*x**4)+(2863*x**3)+(931*x**2)+(77*x)+1)/(x-1)**8)] }
-
-
-
-def A008361():
- x = SR.var('x')
- return { 'ogf': [((x**8+(104*x**7)+(1724*x**6)+(7768*x**5)+(12550*x**4)+(7768*x**3)+(1724*x**2)+(104*x)+1)/(x-1)**8)] }
-
-
-
-def A008362():
- x = SR.var('x')
- return { 'ogf': [((1+(104*x)+(1724*x**2)+(7768*x**3)+(12550*x**4)+(7768*x**5)+(1724*x**6)+(104*x**7)+x**8)/(1-x)**9)] }
-
-
-
-def A008363():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+x))/((1-x)**3*(1+x+x**2+x**3+x**4)**2))] }
-
-
-
-def A008364():
- x = SR.var('x')
- return { 'ogf': [((x*(x**48+(10*x**47)+(2*x**46)+(4*x**45)+(2*x**44)+(4*x**43)+(6*x**42)+(2*x**41)+(6*x**40)+(4*x**39)+(2*x**38)+(4*x**37)+(6*x**36)+(6*x**35)+(2*x**34)+(6*x**33)+(4*x**32)+(2*x**31)+(6*x**30)+(4*x**29)+(6*x**28)+(8*x**27)+(4*x**26)+(2*x**25)+(4*x**24)+(2*x**23)+(4*x**22)+(8*x**21)+(6*x**20)+(4*x**19)+(6*x**18)+(2*x**17)+(4*x**16)+(6*x**15)+(2*x**14)+(6*x**13)+(6*x**12)+(4*x**11)+(2*x**10)+(4*x**9)+(6*x**8)+(2*x**7)+(6*x**6)+(4*x**5)+(2*x**4)+(4*x**3)+(2*x**2)+(10*x)+1))/((x**49-x**48-x)+1))] }
-
-
-
-def A008376():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**8+(134*x**7)+(2800*x**6)+(15386*x**5)+(27742*x**4)+(15386*x**3)+(2800*x**2)+(134*x)+1))/(x-1)**9))] }
-
-
-
-def A008377():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**8+(134*x**7)+(2800*x**6)+(15386*x**5)+(27742*x**4)+(15386*x**3)+(2800*x**2)+(134*x)+1))/(x-1)**10)] }
-
-
-
-def A008378():
- x = SR.var('x')
- return { 'ogf': [((x**10+(170*x**9)+(4685*x**8)+(38200*x**7)+(124850*x**6)+(183356*x**5)+(124850*x**4)+(38200*x**3)+(4685*x**2)+(170*x)+1)/(x-1)**10)] }
-
-
-
-def A008379():
- x = SR.var('x')
- return { 'ogf': [((x**10+(170*x**9)+(4685*x**8)+(38200*x**7)+(124850*x**6)+(183356*x**5)+(124850*x**4)+(38200*x**3)+(4685*x**2)+(170*x)+1)/(1-x)**11)] }
-
-
-
-def A008381():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((x**10-(2*x**9))+(4*x**8))-(4*x**7))+(8*x**6))-(8*x**5))+(8*x**4))-(4*x**3))+(4*x**2))-(2*x))+1)*(1+x)**2)/((x**4+x**3+x**2+x+1)**4*(1-x)**5))] }
-
-
-
-def A008382():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((x**10-(2*x**9))+(4*x**8))-(4*x**7))+(8*x**6))-(8*x**5))+(8*x**4))-(4*x**3))+(4*x**2))-(2*x))+1)*(1+x)**2)/((x**4+x**3+x**2+x+1)**4*(x-1)**6))] }
-
-
-
-def A008383():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x)+(36*x**2)+(16*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A008384():
- x = SR.var('x')
- return { 'ogf': [(((-1)-x**4-(16*x**3)-(36*x**2)-(16*x))/(x-1)**5)] }
-
-
-
-def A008385():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(24*x)+(76*x**2)+(24*x**3)+x**4))/(1-x)**5)] }
-
-
-
-def A008386():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(24*x)+(76*x**2)+(24*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A008387():
- x = SR.var('x')
- return { 'ogf': [((x**6+(36*x**5)+(225*x**4)+(400*x**3)+(225*x**2)+(36*x)+1)/(x-1)**6)] }
-
-
-
-def A008388():
- x = SR.var('x')
- return { 'ogf': [((1+(36*x)+(225*x**2)+(400*x**3)+(225*x**4)+(36*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A008389():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**6+(48*x**5)+(393*x**4)+(832*x**3)+(393*x**2)+(48*x)+1))/(x-1)**7))] }
-
-
-
-def A008390():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(48*x)+(393*x**2)+(832*x**3)+(393*x**4)+(48*x**5)+x**6))/(1-x)**8)] }
-
-
-
-def A008391():
- x = SR.var('x')
- return { 'ogf': [((x**8+(64*x**7)+(784*x**6)+(3136*x**5)+(4900*x**4)+(3136*x**3)+(784*x**2)+(64*x)+1)/(x-1)**8)] }
-
-
-
-def A008392():
- x = SR.var('x')
- return { 'ogf': [((1+(64*x)+(784*x**2)+(3136*x**3)+(4900*x**4)+(3136*x**5)+(784*x**6)+(64*x**7)+x**8)/(1-x)**9)] }
-
-
-
-def A008393():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**8+(80*x**7)+(1216*x**6)+(5840*x**5)+(10036*x**4)+(5840*x**3)+(1216*x**2)+(80*x)+1))/(x-1)**9))] }
-
-
-
-def A008394():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(80*x)+(1216*x**2)+(5840*x**3)+(10036*x**4)+(5840*x**5)+(1216*x**6)+(80*x**7)+x**8))/(1-x)**10)] }
-
-
-
-def A008395():
- x = SR.var('x')
- return { 'ogf': [((x**10+(100*x**9)+(2025*x**8)+(14400*x**7)+(44100*x**6)+(63504*x**5)+(44100*x**4)+(14400*x**3)+(2025*x**2)+(100*x)+1)/(x-1)**10)] }
-
-
-
-def A008396():
- x = SR.var('x')
- return { 'ogf': [((x**10+(100*x**9)+(2025*x**8)+(14400*x**7)+(44100*x**6)+(63504*x**5)+(44100*x**4)+(14400*x**3)+(2025*x**2)+(100*x)+1)/(1-x)**11)] }
-
-
-
-def A008397():
- x = SR.var('x')
- return { 'ogf': [(-((x**7+(119*x**6)+(2037*x**5)+(8787*x**4)+(8211*x**3)+(2037*x**2)+(119*x)+1)/(x-1)**7))] }
-
-
-
-def A008398():
- x = SR.var('x')
- return { 'ogf': [((1+(119*x)+(2037*x**2)+(8211*x**3)+(8787*x**4)+(2037*x**5)+(119*x**6)+x**7)/(1-x)**8)] }
-
-
-
-def A008399():
- x = SR.var('x')
- return { 'ogf': [((x**6+(66*x**5)+(645*x**4)+(1384*x**3)+(645*x**2)+(66*x)+1)/(x-1)**6)] }
-
-
-
-def A008400():
- x = SR.var('x')
- return { 'ogf': [((1+(66*x)+(645*x**2)+(1384*x**3)+(645*x**4)+(66*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A008402():
- x = SR.var('x')
- return { 'ogf': [((1+(48*x)+(519*x**2)+(1024*x**3)+(519*x**4)+(48*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A008412():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**4] }
-
-
-
-def A008413():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**5] }
-
-
-
-def A008414():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**6] }
-
-
-
-def A008415():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**7] }
-
-
-
-def A008416():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**8] }
-
-
-
-def A008417():
- x = SR.var('x')
- return { 'ogf': [((1+x)**8/(1-x)**9)] }
-
-
-
-def A008418():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**9] }
-
-
-
-def A008419():
- x = SR.var('x')
- return { 'ogf': [((1+x)**9/(1-x)**10)] }
-
-
-
-def A008420():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**10] }
-
-
-
-def A008421():
- x = SR.var('x')
- return { 'ogf': [((1+x)**10/(1-x)**11)] }
-
-
-
-def A008458():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/(1-x)**2)] }
-
-
-
-def A008464():
- x = SR.var('x')
- return { 'ogf': [(((8/(1-(4*x)))-(3/(1-(2*x)))-((2*x)/(1-(2*x))**2))+(1/x))] }
-
-
-
-def A008466():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))*(1-x-x**2)))] }
-
-
-
-def A008489():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**5+x**4+x**3+x**2+x+1)/(x-1)**6)] }
-
-
-
-def A008497():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+x**4))/((x**4+x**3+x**2+x+1)**2*(1-x)**3))] }
-
-
-
-def A008498():
- x = SR.var('x')
- return { 'ogf': [((1-x**5)/(1-x)**6)] }
-
-
-
-def A008499():
- x = SR.var('x')
- return { 'ogf': [((1-x**6)/(1-x)**7)] }
-
-
-
-def A008500():
- x = SR.var('x')
- return { 'ogf': [((1-x**7)/(1-x)**8)] }
-
-
-
-def A008501():
- x = SR.var('x')
- return { 'ogf': [((1-x**8)/(1-x)**9)] }
-
-
-
-def A008502():
- x = SR.var('x')
- return { 'ogf': [((1-x**9)/(1-x)**10)] }
-
-
-
-def A008504():
- x = SR.var('x')
- return { 'ogf': [((1-x**11)/(1-x)**12)] }
-
-
-
-def A008505():
- x = SR.var('x')
- return { 'ogf': [((1-x**12)/(1-x)**13)] }
-
-
-
-def A008506():
- x = SR.var('x')
- return { 'ogf': [((1-x**13)/(1-x)**14)] }
-
-
-
-def A008511():
- x = SR.var('x')
- return { 'ogf': [((16*x*(1+x+x**2))/((((1-(4*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A008512():
- x = SR.var('x')
- return { 'ogf': [((2+(22*x)+(102*x**2)+(82*x**3)+(32*x**4))/(((((1-(5*x))+(10*x**2))-(10*x**3))+(5*x**4))-x**5))] }
-
-
-
-def A008513():
- x = SR.var('x')
- return { 'ogf': [((8*x*(8+(43*x)+(78*x**2)+(43*x**3)+(8*x**4)))/(x-1)**6)] }
-
-
-
-def A008514():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+(10*x)+1)*(x+1)**2)/(x-1)**5))] }
-
-
-
-def A008515():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A008516():
- x = SR.var('x')
- return { 'ogf': [((1+(58*x)+(359*x**2)+(604*x**3)+(359*x**4)+(58*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A008527():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(6*x)+x**2))/(1-x)**3)] }
-
-
-
-def A008528():
- x = SR.var('x')
- return { 'ogf': [(1+((6*x*(3+(5*x)+(3*x**2)))/(1-x)**4))] }
-
-
-
-def A008529():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**2*(1+(8*x)+x**2))/(1-x)**4)] }
-
-
-
-def A008530():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)**2/(1-x)**4)] }
-
-
-
-def A008531():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(16*x**2)+(6*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A008532():
- x = SR.var('x')
- return { 'ogf': [(((x+1)**2*(x**2+(4*x)+1))/(x-1)**4)] }
-
-
-
-def A008533():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**4+(6*x**3)+(16*x**2)+(6*x)+1))/(x-1)**5))] }
-
-
-
-def A008534():
- x = SR.var('x')
- return { 'ogf': [((x**6+(8*x**5)+(29*x**4)+(64*x**3)+(29*x**2)+(8*x)+1)/(x-1)**6)] }
-
-
-
-def A008535():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**6+(8*x**5)+(29*x**4)+(64*x**3)+(29*x**2)+(8*x)+1))/(x-1)**7))] }
-
-
-
-def A008574():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**2,
-exp((4*atanh(x)))] }
-
-
-
-def A008576():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**2*(1+x**2))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A008577():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**2*(1+x**2))/((1-x)**3*(1+x+x**2)))] }
-
-
-
-def A008579():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*((1+(2*x)+(2*x**2)+(2*x**3))-x**4))/(1-x**2)**2)] }
-
-
-
-def A008583():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)*(1-x**9)))] }
-
-
-
-def A008584():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**5)*(1-x**6)*(1-x**8)*(1-x**9)*(1-x**12)))] }
-
-
-
-def A008586():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(1-x)**2)] }
-
-
-
-def A008588():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(1-x)**2)] }
-
-
-
-def A008589():
- x = SR.var('x')
- return { 'ogf': [((7*x)/(x-1)**2)] }
-
-
-
-def A008590():
- x = SR.var('x')
- return { 'ogf': [((8*x)/(x-1)**2)] }
-
-
-
-def A008591():
- x = SR.var('x')
- return { 'ogf': [((9*x)/(x-1)**2)] }
-
-
-
-def A008592():
- x = SR.var('x')
- return { 'ogf': [((10*x)/(x-1)**2)] }
-
-
-
-def A008593():
- x = SR.var('x')
- return { 'ogf': [((11*x)/(1-x)**2)] }
-
-
-
-def A008594():
- x = SR.var('x')
- return { 'ogf': [((12*x)/(1-x)**2)] }
-
-
-
-def A008595():
- x = SR.var('x')
- return { 'ogf': [((13*x)/(x-1)**2)] }
-
-
-
-def A008596():
- x = SR.var('x')
- return { 'ogf': [((14*x)/(x-1)**2)] }
-
-
-
-def A008597():
- x = SR.var('x')
- return { 'ogf': [((15*x)/(1-x)**2)] }
-
-
-
-def A008598():
- x = SR.var('x')
- return { 'ogf': [((16*x)/(x-1)**2)] }
-
-
-
-def A008599():
- x = SR.var('x')
- return { 'ogf': [((17*x)/(x-1)**2)] }
-
-
-
-def A008600():
- x = SR.var('x')
- return { 'ogf': [((18*x)/(x-1)**2)] }
-
-
-
-def A008601():
- x = SR.var('x')
- return { 'ogf': [((19*x)/(x-1)**2)] }
-
-
-
-def A008602():
- x = SR.var('x')
- return { 'ogf': [((20*x)/(x-1)**2)] }
-
-
-
-def A008603():
- x = SR.var('x')
- return { 'ogf': [((21*x)/(x-1)**2)] }
-
-
-
-def A008604():
- x = SR.var('x')
- return { 'ogf': [((22*x)/(x-1)**2)] }
-
-
-
-def A008605():
- x = SR.var('x')
- return { 'ogf': [((23*x)/(x-1)**2)] }
-
-
-
-def A008606():
- x = SR.var('x')
- return { 'ogf': [((24*x)/(1-x)**2)] }
-
-
-
-def A008607():
- x = SR.var('x')
- return { 'ogf': [((25*x)/(1-x)**2)] }
-
-
-
-def A008609():
- x = SR.var('x')
- return { 'ogf': [((((((((((((1+x**2)-(2*x**3))+(2*x**4))-x**5)+x**6)-(2*x**7))+(2*x**8))-(4*x**9))+(4*x**10))-(2*x**11))+x**12)/(1-(3*x**3))/(1-x)**2)] }
-
-
-
-def A008610():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**3)+x**4)/((1-x)*(1-x**2)**2*(1-x**4)))] }
-
-
-
-def A008611():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**4)/(1-x**3)**2),
-(((1-x)+x**2)/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A008612():
- x = SR.var('x')
- return { 'ogf': [(((x**4-x**2)+1)/((x-1)**2*(x+1)*(x**2+x+1)))] }
-
-
-
-def A008613():
- x = SR.var('x')
- return { 'ogf': [((1+x**15)/((1-x**2)*(1-x**6)*(1-x**10)))] }
-
-
-
-def A008614():
- x = SR.var('x')
- return { 'ogf': [((1-x**42)/((1-x**4)*(1-x**6)*(1-x**14)*(1-x**21))),
-((1/168)*((1/(1-x)**3)+(21/((1+x)*(1-x**2)))+(56/(1-x**3))+(42/((1-x)*(1+x**2)))+((24*(1-x)*(2+(3*x)+(2*x**2)))/(1+x+x**2+x**3+x**4+x**5+x**6))))] }
-
-
-
-def A008615():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x**2)*(1-x**3)))] }
-
-
-
-def A008616():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**5)))] }
-
-
-
-def A008619():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)))] }
-
-
-
-def A008620():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**3))),
-(1/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A008623():
- x = SR.var('x')
- return { 'ogf': [((x**14+x**10+x**9+x**8+x**6+x**5+x**4+1)/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**7)))] }
-
-
-
-def A008624():
- x = SR.var('x')
- return { 'ogf': [((1+x**3)/((1-x**2)*(1-x**4)))] }
-
-
-
-def A008625():
- x = SR.var('x')
- return { 'ogf': [(((1+x**3)*(1+x**5)*(1+x**6))/((1-x**4)*(1-x**6)*(1-x**7))),
-((((x**4-x**2)+1)*((((x**4-x**3)+x**2)-x)+1))/((1-x)*(1-x**3)*(1-x**7)))] }
-
-
-
-def A008626():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((1-(3*x**7))+(3*x**8))-(2*x**15))+x**16)-(2*x)-(3*x**9))+(3*x**2)+(3*x**14))-(4*x**3))+(4*x**4))-(4*x**5))+(4*x**6)+(4*x**10))-(4*x**11))+(4*x**12))-(4*x**13))/((1+x**4)*(x**8+1)*(x-1)**2*(x**2+1)**2))] }
-
-
-
-def A008627():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**4)/((1+x+x**2)*(1+x)**2*(x-1)**4))] }
-
-
-
-def A008628():
- x = SR.var('x')
- return { 'ogf': [((((((-1)+x**2)-x**4)+x**6)-x**8)/((1+x+x**2)*(1+x+x**2+x**3+x**4)*(1+x)**2*(x-1)**5))] }
-
-
-
-def A008629():
- x = SR.var('x')
- return { 'ogf': [((1+x**15)/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6))),
-((((1-x**3-x)+x**2+x**4)*(((x**8+x**7)-x**5-x**4-x**3)+x+1))/((x**2+1)*(1+x**3+x+x**2+x**4)*(1+x)**2*(1+x+x**2)**2*(x-1)**6))] }
-
-
-
-def A008634():
- x = SR.var('x')
- return { 'ogf': [((1+x**55)/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)*(1-x**8)*(1-x**9)*(1-x**10)*(1-x**11)))] }
-
-
-
-def A008636():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)))] }
-
-
-
-def A008642():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**4)))] }
-
-
-
-def A008643():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**4)*(1-x**8)))] }
-
-
-
-def A008644():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**4)*(1-x**8)*(1-x**16)))] }
-
-
-
-def A008646():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+(3*x**3)+(4*x**4)+(6*x**5)+(4*x**6)+(3*x**7)+x**8+x**10)/(1-x)/(1-x**2)/(1-x**3)/(1-x**4)/(1-x**5)),
-(((((1-(3*x))+(5*x**2))-(3*x**3))+x**4)/((1-x)**4*(1-x**5)))] }
-
-
-
-def A008647():
- x = SR.var('x')
- return { 'ogf': [((1+x**9)/((1-x**4)*(1-x**6)))] }
-
-
-
-def A008649():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**3)*(1-x**9)))] }
-
-
-
-def A008651():
- x = SR.var('x')
- return { 'ogf': [((((x**8+x**7)-x**5-x**4-x**3)+x+1)/((x-1)**2*(x**2+x+1)*(x**4+x**3+x**2+x+1)*(x+1)))] }
-
-
-
-def A008652():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**4)*(1-x**16))),
-(1/((1+x)**2*(1-x)**3*(1+x**2)**2*(1+x**4)*(1+x**8)))] }
-
-
-
-def A008666():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**3)*(1-x**5)*(1-x**6)*(1-x**9)))] }
-
-
-
-def A008668():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**6)*(1-x**10)*(1-x**15)))] }
-
-
-
-def A008669():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)*(1-x**5)))] }
-
-
-
-def A008670():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**3)*(1-x**4)*(1-x**6)))] }
-
-
-
-def A008672():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**3)*(1-x**5)))] }
-
-
-
-def A008676():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**3)*(1-x**5)))] }
-
-
-
-def A008677():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**3)*(1-x**5)*(1-x**7)))] }
-
-
-
-def A008680():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**3)*(1-x**4)*(1-x**5)))] }
-
-
-
-def A008706():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+x**2)/(1-x)**2)] }
-
-
-
-def A008718():
- x = SR.var('x')
- return { 'ogf': [((1+x**9)/((1-x)*(1-x**4)*(1-x**6)*(1-x**12))),
-(((1-x**3)+x**6)/(((1-x)+x**2)*((x**4-x**2)+1)*(1+x)**2*(x**2+1)**2*(1+x+x**2)**2*(x-1)**4))] }
-
-
-
-def A008721():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)**2*(1-x**7)))] }
-
-
-
-def A008724():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)**2*(1-x**6)))] }
-
-
-
-def A008725():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x)**2/(1-x**7))] }
-
-
-
-def A008726():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**8)))] }
-
-
-
-def A008727():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**9)))] }
-
-
-
-def A008728():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**10)))] }
-
-
-
-def A008732():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**5)))] }
-
-
-
-def A008733():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)**3*(1+x)**2*(1+x**2)))] }
-
-
-
-def A008734():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x**2-x**4)+x+x**3)/((1+x**2)*(1+x**4)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A008738():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**3))/((1-x)**2*(1-x**5)))] }
-
-
-
-def A008740():
- x = SR.var('x')
- return { 'ogf': [((1+x**5)/((1-x)**2*(1-x**9)))] }
-
-
-
-def A008742():
- x = SR.var('x')
- return { 'ogf': [((1+x**6)/((1-x**2)*(1-x**3)*(1-x**4))),
-((((-1)+x**2)-x**4)/((1+x+x**2)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A008743():
- x = SR.var('x')
- return { 'ogf': [((1+x**9)/((1-x**2)*(1-x**4)*(1-x**6))),
-((((-1)+x**3)-x**6)/((1+x+x**2)*(1+x**2)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A008762():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1+x**2)*(1+x+x**2)*(1-x)**4))] }
-
-
-
-def A008763():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)*(1-x**2)**2*(1-x**3)))] }
-
-
-
-def A008776():
- x = SR.var('x')
- return { 'ogf': [(2/(1-(3*x)))] }
-
-
-
-def A008778():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/(1-x)**4)] }
-
-
-
-def A008779():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x**3+x**2)-(2*x))/(x-1)**5)] }
-
-
-
-def A008780():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x))-(3*x**2)-(2*x**3))/(1-x)**6)] }
-
-
-
-def A008794():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**2))/((1-x**2)**2*(1-x)))] }
-
-
-
-def A008796():
- x = SR.var('x')
- return { 'ogf': [((1+x**4)/((1-x**2)**2*(1-x**3)))] }
-
-
-
-def A008797():
- x = SR.var('x')
- return { 'ogf': [((1+x**5)/((1-x**2)**2*(1-x**4))),
-((((-1)-x**2-x**4)+x+x**3)/((1+x**2)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A008798():
- x = SR.var('x')
- return { 'ogf': [((1+x**6)/(1-x**2)**2/(1-x**5))] }
-
-
-
-def A008799():
- x = SR.var('x')
- return { 'ogf': [((1+x**7)/((1-x**2)**2*(1-x**6))),
-((((-1)-x**2-x**4-x**6)+x+x**3+x**5)/((1+x+x**2)*((x**2-x)+1)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A008801():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**6-x**3)+1))/((1+x**2)*(1+x**4)*(1+x)**2*(x-1)**3)))] }
-
-
-
-def A008803():
- x = SR.var('x')
- return { 'ogf': [((1+x**11)/((1-x**2)**2*(1-x**10))),
-((((-1)-x**2-x**4-x**6-x**8-x**10)+x+x**3+x**5+x**7+x**9)/(((((x**4-x**3)+x**2)-x)+1)*(1+x+x**2+x**3+x**4)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A008804():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**4*(1+x)**2*(1+x**2)))] }
-
-
-
-def A008805():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)**2))] }
-
-
-
-def A008806():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x**2)+x)/((1+x)*(1+x+x**2)*(x-1)**3))] }
-
-
-
-def A008808():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x**2-x**4-x**6)+x+x**3+x**5)/((1+x)*(1+x**2+x**4+x**6+x+x**3+x**5)*(x-1)**3))] }
-
-
-
-def A008810():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3))/((1-x)**2*(1-x**3)))] }
-
-
-
-def A008818():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-x**2)+x)-x**3)/((1+x**2)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A008844():
- x = SR.var('x')
- return { 'ogf': [(((1-(10*x))+x**2)/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A008851():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A008854():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A008863():
- x = SR.var('x')
- return { 'ogf': [(((((((((((1-(9*x))+(37*x**2))-(91*x**3))+(148*x**4))-(166*x**5))+(130*x**6))-(70*x**7))+(25*x**8))-(5*x**9))+x**10)/(1-x)**11)] }
-
-
-
-def A008865():
- x = SR.var('x')
- return { 'ogf': [(((x-(5*x**2))+(2*x**3))/((((-1)+(3*x))-(3*x**2))+x**3))] }
-
-
-
-def A008893():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((4*x**2)+(13*x)+4))/(x-1)**5))] }
-
-
-
-def A008911():
- x = SR.var('x')
- return { 'ogf': [((2*(x**2*(1+x)))/(1-x)**5)] }
-
-
-
-def A008921():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**6+(624*x**5)+(1959*x**4)+(1744*x**3)+(519*x**2)+(48*x)+1))/(1-x)**7)] }
-
-
-
-def A008937():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((x**3+x**2+x)-1)))] }
-
-
-
-def A008954():
- x = SR.var('x')
- return { 'ogf': [(-(((x**12+(3*x**11)+(6*x**10)+(5*x**8)+(5*x**6)+(5*x**4)+(6*x**2)+(3*x)+1)*x)/((x-1)*(x**2+1)*(x**4+x**3+x**2+x+1)*((((x**8-x**6)+x**4)-x**2)+1))))] }
-
-
-
-def A008959():
- x = SR.var('x')
- return { 'ogf': [((x**9+(4*x**8)+(9*x**7)+(6*x**6)+(5*x**5)+(6*x**4)+(9*x**3)+(4*x**2)+x)/((-x**10)+1))] }
-
-
-
-def A008999():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-x**4))] }
-
-
-
-def A009001():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-x**3)/(1+x**2)**2)] }
-
-
-
-def A009116():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1+(2*x)+(2*x**2)))] }
-
-
-
-def A009117():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+1)/(1+(4*x)))] }
-
-
-
-def A009531():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/(1+x**2)**2)] }
-
-
-
-def A009545():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))+(2*x**2)))] }
-
-
-
-def A009923():
- x = SR.var('x')
- return { 'ogf': [(-((((6*x**9)-(5*x**8))+(8*x**7)+(29*x**6)+(82*x**5)+(88*x**4)+(68*x**3)+(35*x**2)+(8*x)+1)/((x-1)**3*(x+1)*(x**2+x+1)**2)))] }
-
-
-
-def A009924():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+(4*x**2)+(2*x)+1)*(x**4+(5*x**3)+(6*x**2)+(7*x)+1))/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A009925():
- x = SR.var('x')
- return { 'ogf': [(-((x**6+(4*x**5)+(19*x**4)+(12*x**3)+(19*x**2)+(4*x)+1)/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A009926():
- x = SR.var('x')
- return { 'ogf': [(-((x**6+(8*x**5)+(9*x**4)+(24*x**3)+(9*x**2)+(8*x)+1)/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A009928():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**13)-(4*x**12)-(11*x**10))+(33*x**9)+(57*x**8)+(124*x**7)+(146*x**6)+(150*x**5)+(122*x**4)+(76*x**3)+(37*x**2)+(13*x)+1)/((x-1)**3*(x+1)*(x**2+1)**2*(x**2+x+1))))] }
-
-
-
-def A009945():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+x**2+(3*x)+1)*(x**3+(3*x**2)+x+1))/((x-1)**3*(x+1)*(x**2+1))))] }
-
-
-
-def A009946():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+(4*x**3)+(8*x**2)+(4*x)+1)/((x-1)**3*(x+1))))] }
-
-
-
-def A009947():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**3+x**2+(2*x)+1))/((x-1)**2*(x**2+x+1)**2))] }
-
-
-
-def A009948():
- x = SR.var('x')
- return { 'ogf': [(-((x**6+(10*x**5)+(19*x**4)+(24*x**3)+(19*x**2)+(10*x)+1)/((x-1)**3*(x+1)*(x**2+1))))] }
-
-
-
-def A009957():
- x = SR.var('x')
- return { 'ogf': [(-((x**6+(6*x**5)+(17*x**4)+(26*x**3)+(15*x**2)+(6*x)+1)/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A009964():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(20*x)))] }
-
-
-
-def A009966():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(22*x)))] }
-
-
-
-def A009967():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(23*x)))] }
-
-
-
-def A009968():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(24*x)))] }
-
-
-
-def A009969():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(25*x)))] }
-
-
-
-def A009970():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(26*x)))] }
-
-
-
-def A009971():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(27*x)))] }
-
-
-
-def A009972():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(28*x)))] }
-
-
-
-def A009973():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(29*x)))] }
-
-
-
-def A009974():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(30*x)))] }
-
-
-
-def A009975():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(31*x)))] }
-
-
-
-def A009976():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(32*x)))] }
-
-
-
-def A009977():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(33*x)))] }
-
-
-
-def A009978():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(34*x)))] }
-
-
-
-def A009979():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(35*x)))] }
-
-
-
-def A009980():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(36*x)))] }
-
-
-
-def A009981():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(37*x)))] }
-
-
-
-def A009982():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(38*x)))] }
-
-
-
-def A009983():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(39*x)))] }
-
-
-
-def A009984():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(40*x)))] }
-
-
-
-def A009985():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(41*x)))] }
-
-
-
-def A009986():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(42*x)))] }
-
-
-
-def A009987():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(43*x)))] }
-
-
-
-def A009988():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(44*x)))] }
-
-
-
-def A009989():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(45*x)))] }
-
-
-
-def A009990():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(46*x)))] }
-
-
-
-def A009991():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(47*x)))] }
-
-
-
-def A009992():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(48*x)))] }
-
-
-
-def A010000():
- x = SR.var('x')
- return { 'ogf': [((1+x**3)/(1-x)**3)] }
-
-
-
-def A010001():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(3*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010002():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(7*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010003():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(9*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010004():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(11*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010005():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(13*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010006():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x)+(15*x**2)+x**3)/(1-x)**3)] }
-
-
-
-def A010007():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(15*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010008():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(16*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010009():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(17*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010010():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(18*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010012():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(20*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010013():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(21*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010014():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(22*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010015():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(23*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010016():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(24*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010017():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(25*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010018():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(26*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010019():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(27*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010020():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(29*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010021():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(30*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010022():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(38*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010023():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(40*x)+x**2))/(1-x)**3)] }
-
-
-
-def A010024():
- x = SR.var('x')
- return { 'ogf': [(-((x**5+(7*x**4)+(42*x**3)+(22*x**2)+(7*x)+1)/(((((x**5-(5*x**4))+(10*x**3))-(10*x**2))+(5*x))-1)))] }
-
-
-
-def A010025():
- x = SR.var('x')
- return { 'ogf': [((x**5+(7*x**4)+(42*x**3)+(22*x**2)+(7*x)+1)/((((((x**6-(6*x**5))+(15*x**4))-(20*x**3))+(15*x**2))-(6*x))+1))] }
-
-
-
-def A010035():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+1)/(((3*x)-1)*((9*x)-1)))] }
-
-
-
-def A010036():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A010049():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(1-x-x**2)**2)] }
-
-
-
-def A010079():
- x = SR.var('x')
- return { 'ogf': [(-(((((8*x**7)-(25*x**6))+(2*x**5))-(63*x**4)-(124*x**3)-(71*x**2)-(14*x)-1)/((x-1)**4*(x+1)**2)))] }
-
-
-
-def A010121():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**2)+(3*x)+2)*((x**2-x)+1))/((x-1)*(1+x)*(x**2+1))))] }
-
-
-
-def A010134():
- x = SR.var('x')
- return { 'ogf': [(((6*x**10)+x**9+x**8+(3*x**7)+x**6+(5*x**5)+x**4+(3*x**3)+x**2+x+6)/((-x**10)+1))] }
-
-
-
-def A010176():
- x = SR.var('x')
- return { 'ogf': [((10+x+x**2+(6*x**3)+x**4+x**5+(10*x**6))/(1-x**6))] }
-
-
-
-def A010177():
- x = SR.var('x')
- return { 'ogf': [((10+x+x**2+(2*x**3)+x**4+x**5+(10*x**6))/(1-x**6))] }
-
-
-
-def A010178():
- x = SR.var('x')
- return { 'ogf': [((10+x+x**2+x**3+(2*x**4)+(2*x**5)+x**6+x**7+x**8+(10*x**9))/(1-x**9))] }
-
-
-
-def A010179():
- x = SR.var('x')
- return { 'ogf': [((10+x+(2*x**2)+(10*x**3)+(2*x**4)+x**5+(10*x**6))/(1-x**6))] }
-
-
-
-def A010180():
- x = SR.var('x')
- return { 'ogf': [((10+x+(2*x**2)+x**3+x**4+x**5+x**6+x**7+(2*x**8)+x**9+(10*x**10))/(1-x**10))] }
-
-
-
-def A010181():
- x = SR.var('x')
- return { 'ogf': [((10+x+(3*x**2)+(2*x**3)+x**4+(4*x**5)+x**6+(2*x**7)+(3*x**8)+x**9+(10*x**10))/(1-x**10))] }
-
-
-
-def A010186():
- x = SR.var('x')
- return { 'ogf': [((11+(5*x)+x**2+x**3+(5*x**4)+(11*x**5))/((1-x)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A010673():
- x = SR.var('x')
- return { 'ogf': [(-((2*x)/((x-1)*(1+x))))] }
-
-
-
-def A010676():
- x = SR.var('x')
- return { 'ogf': [((5*x)/((1-x)*(1+x)))] }
-
-
-
-def A010677():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-x)*(1+x)))] }
-
-
-
-def A010678():
- x = SR.var('x')
- return { 'ogf': [((7*x)/((1-x)*(1+x)))] }
-
-
-
-def A010679():
- x = SR.var('x')
- return { 'ogf': [((8*x)/((1-x)*(1+x)))] }
-
-
-
-def A010681():
- x = SR.var('x')
- return { 'ogf': [((10*x)/((1-x)*(1+x)))] }
-
-
-
-def A010683():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**2-((1+x)*sqrt(((1-(6*x))+x**2))))/(8*x**2))] }
-
-
-
-def A010684():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-x)*(1+x)))] }
-
-
-
-def A010685():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-x)*(1+x)))] }
-
-
-
-def A010686():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-x)*(1+x)))] }
-
-
-
-def A010687():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-x**2))] }
-
-
-
-def A010688():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1+x)*(1-x)))] }
-
-
-
-def A010690():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/((1-x)*(1+x)))] }
-
-
-
-def A010691():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x))/(1-x**2))] }
-
-
-
-def A010692():
- x = SR.var('x')
- return { 'ogf': [(10/(1-x))] }
-
-
-
-def A010693():
- x = SR.var('x')
- return { 'ogf': [((2+(3*x))/(1-x**2))] }
-
-
-
-def A010694():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(2*x)))/((1-x)*(1+x)))] }
-
-
-
-def A010695():
- x = SR.var('x')
- return { 'ogf': [((2+(5*x))/((1-x)*(1+x)))] }
-
-
-
-def A010696():
- x = SR.var('x')
- return { 'ogf': [(((-2)-(6*x))/((x-1)*(1+x)))] }
-
-
-
-def A010697():
- x = SR.var('x')
- return { 'ogf': [((2+(7*x))/((1-x)*(1+x)))] }
-
-
-
-def A010698():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(4*x)))/((1-x)*(1+x)))] }
-
-
-
-def A010700():
- x = SR.var('x')
- return { 'ogf': [((2+(10*x))/((1-x)*(1+x)))] }
-
-
-
-def A010701():
- x = SR.var('x')
- return { 'ogf': [(3/(1-x))] }
-
-
-
-def A010702():
- x = SR.var('x')
- return { 'ogf': [((3+(4*x))/(1-x**2))] }
-
-
-
-def A010703():
- x = SR.var('x')
- return { 'ogf': [((3+(5*x))/((1-x)*(1+x)))] }
-
-
-
-def A010704():
- x = SR.var('x')
- return { 'ogf': [((3*(1+(2*x)))/((1-x)*(1+x)))] }
-
-
-
-def A010705():
- x = SR.var('x')
- return { 'ogf': [((3+(7*x))/((1-x)*(1+x)))] }
-
-
-
-def A010706():
- x = SR.var('x')
- return { 'ogf': [((3+(8*x))/((1-x)*(1+x)))] }
-
-
-
-def A010707():
- x = SR.var('x')
- return { 'ogf': [((3*(1+(3*x)))/((1-x)*(1+x)))] }
-
-
-
-def A010708():
- x = SR.var('x')
- return { 'ogf': [((3+(10*x))/((1-x)*(1+x)))] }
-
-
-
-def A010709():
- x = SR.var('x')
- return { 'ogf': [(4/(1-x))] }
-
-
-
-def A010710():
- x = SR.var('x')
- return { 'ogf': [((4+(5*x))/(1-x**2))] }
-
-
-
-def A010711():
- x = SR.var('x')
- return { 'ogf': [(-((2*(2+(3*x)))/((x-1)*(1+x))))] }
-
-
-
-def A010712():
- x = SR.var('x')
- return { 'ogf': [((4+(7*x))/((1-x)*(1+x)))] }
-
-
-
-def A010713():
- x = SR.var('x')
- return { 'ogf': [((4*(1+(2*x)))/((1-x)*(1+x)))] }
-
-
-
-def A010714():
- x = SR.var('x')
- return { 'ogf': [((4+(9*x))/((1-x)*(1+x)))] }
-
-
-
-def A010715():
- x = SR.var('x')
- return { 'ogf': [(((-4)-(10*x))/((x-1)*(1+x)))] }
-
-
-
-def A010716():
- x = SR.var('x')
- return { 'ogf': [(5/(1-x))] }
-
-
-
-def A010717():
- x = SR.var('x')
- return { 'ogf': [((5+(6*x))/((1-x)*(1+x)))] }
-
-
-
-def A010718():
- x = SR.var('x')
- return { 'ogf': [((5+(7*x))/((1-x)*(1+x)))] }
-
-
-
-def A010719():
- x = SR.var('x')
- return { 'ogf': [((5+(8*x))/((1-x)*(1+x)))] }
-
-
-
-def A010720():
- x = SR.var('x')
- return { 'ogf': [((5+(9*x))/((1-x)*(1+x)))] }
-
-
-
-def A010721():
- x = SR.var('x')
- return { 'ogf': [((5*(1+(2*x)))/((1-x)*(1+x)))] }
-
-
-
-def A010722():
- x = SR.var('x')
- return { 'ogf': [(6/(1-x))] }
-
-
-
-def A010723():
- x = SR.var('x')
- return { 'ogf': [(((-6)-(7*x))/((x-1)*(1+x)))] }
-
-
-
-def A010724():
- x = SR.var('x')
- return { 'ogf': [(((-6)-(8*x))/((x-1)*(1+x)))] }
-
-
-
-def A010725():
- x = SR.var('x')
- return { 'ogf': [(((-6)-(9*x))/((x-1)*(1+x)))] }
-
-
-
-def A010726():
- x = SR.var('x')
- return { 'ogf': [((2*(3+(5*x)))/((1-x)*(1+x)))] }
-
-
-
-def A010727():
- x = SR.var('x')
- return { 'ogf': [(7/(1-x))] }
-
-
-
-def A010728():
- x = SR.var('x')
- return { 'ogf': [(((-7)-(8*x))/((x-1)*(1+x)))] }
-
-
-
-def A010729():
- x = SR.var('x')
- return { 'ogf': [(((-7)-(9*x))/((x-1)*(1+x)))] }
-
-
-
-def A010730():
- x = SR.var('x')
- return { 'ogf': [(((-7)-(10*x))/((x-1)*(1+x)))] }
-
-
-
-def A010731():
- x = SR.var('x')
- return { 'ogf': [(8/(1-x))] }
-
-
-
-def A010732():
- x = SR.var('x')
- return { 'ogf': [(((-8)-(9*x))/((x-1)*(1+x)))] }
-
-
-
-def A010733():
- x = SR.var('x')
- return { 'ogf': [(((-8)-(10*x))/((x-1)*(1+x)))] }
-
-
-
-def A010734():
- x = SR.var('x')
- return { 'ogf': [(9/(1-x))] }
-
-
-
-def A010735():
- x = SR.var('x')
- return { 'ogf': [(((-9)-(10*x))/((x-1)*(1+x)))] }
-
-
-
-def A010736():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))**3/(64*x**3))] }
-
-
-
-def A010761():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(2*x**2)))/((1-x**2)*(1-x**3)))] }
-
-
-
-def A010762():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**7+x**6+x**5+(2*x**4)+(3*x**3)+x**2+(2*x)+1))/((x-1)**3*(x+1)**2*((x**2-x)+1)*(x**2+x+1)**2)))] }
-
-
-
-def A010764():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((1+x)-x**2-x**3)+x**4+(2*x**5))-(2*x**7)))/((1-x**2)*(1-x**3)))] }
-
-
-
-def A010785():
- x = SR.var('x')
- return { 'ogf': [((x*((9*x**8)+(8*x**7)+(7*x**6)+(6*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x**9-1)*((10*x**9)-1)))] }
-
-
-
-def A010801():
- x = SR.var('x')
- return { 'ogf': [((x*(x**12+(8178*x**11)+(1479726*x**10)+(45533450*x**9)+(423281535*x**8)+(1505621508*x**7)+(2.275172004E9*x**6)+(1505621508*x**5)+(423281535*x**4)+(45533450*x**3)+(1479726*x**2)+(8178*x)+1))/(x-1)**14)] }
-
-
-
-def A010849():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))**4/(256*x**4))] }
-
-
-
-def A010850():
- x = SR.var('x')
- return { 'ogf': [(11/(1-x))] }
-
-
-
-def A010851():
- x = SR.var('x')
- return { 'ogf': [(12/(1-x))] }
-
-
-
-def A010852():
- x = SR.var('x')
- return { 'ogf': [(13/(1-x))] }
-
-
-
-def A010853():
- x = SR.var('x')
- return { 'ogf': [(14/(1-x))] }
-
-
-
-def A010854():
- x = SR.var('x')
- return { 'ogf': [(15/(1-x))] }
-
-
-
-def A010855():
- x = SR.var('x')
- return { 'ogf': [(16/(1-x))] }
-
-
-
-def A010856():
- x = SR.var('x')
- return { 'ogf': [(17/(1-x))] }
-
-
-
-def A010857():
- x = SR.var('x')
- return { 'ogf': [(18/(1-x))] }
-
-
-
-def A010858():
- x = SR.var('x')
- return { 'ogf': [(19/(1-x))] }
-
-
-
-def A010859():
- x = SR.var('x')
- return { 'ogf': [(20/(1-x))] }
-
-
-
-def A010860():
- x = SR.var('x')
- return { 'ogf': [(21/(1-x))] }
-
-
-
-def A010861():
- x = SR.var('x')
- return { 'ogf': [(22/(1-x))] }
-
-
-
-def A010862():
- x = SR.var('x')
- return { 'ogf': [(23/(1-x))] }
-
-
-
-def A010863():
- x = SR.var('x')
- return { 'ogf': [(24/(1-x))] }
-
-
-
-def A010864():
- x = SR.var('x')
- return { 'ogf': [(25/(1-x))] }
-
-
-
-def A010865():
- x = SR.var('x')
- return { 'ogf': [(26/(1-x))] }
-
-
-
-def A010866():
- x = SR.var('x')
- return { 'ogf': [(27/(1-x))] }
-
-
-
-def A010867():
- x = SR.var('x')
- return { 'ogf': [(28/(1-x))] }
-
-
-
-def A010868():
- x = SR.var('x')
- return { 'ogf': [(29/(1-x))] }
-
-
-
-def A010869():
- x = SR.var('x')
- return { 'ogf': [(30/(1-x))] }
-
-
-
-def A010870():
- x = SR.var('x')
- return { 'ogf': [(31/(1-x))] }
-
-
-
-def A010871():
- x = SR.var('x')
- return { 'ogf': [(32/(1-x))] }
-
-
-
-def A010872():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+x)/(1-x**3))] }
-
-
-
-def A010882():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2))/(1-x**3))] }
-
-
-
-def A010891():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A010892():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)+x**2)),
-(1/(1-(x/(1+(x/(1-x))))))] }
-
-
-
-def A010905():
- x = SR.var('x')
- return { 'ogf': [((4-x)/((1-(4*x))+x**2))] }
-
-
-
-def A010907():
- x = SR.var('x')
- return { 'ogf': [(-((x**3+(2*x**2)+(3*x)+4)/((x**4+(2*x**3)+(3*x**2)+(4*x))-1)))] }
-
-
-
-def A010912():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))+x**2)/(((1-(3*x))+(2*x**2))-x**3))] }
-
-
-
-def A010920():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/((1-(5*x))+(3*x**2)))] }
-
-
-
-def A010924():
- x = SR.var('x')
- return { 'ogf': [((8+(7*x))/(1-(6*x)-(6*x**2)))] }
-
-
-
-def A010992():
- x = SR.var('x')
- return { 'ogf': [(x**39/(1-x)**40)] }
-
-
-
-def A010994():
- x = SR.var('x')
- return { 'ogf': [(x**41/(1-x)**42)] }
-
-
-
-def A010995():
- x = SR.var('x')
- return { 'ogf': [(x**42/(1-x)**43)] }
-
-
-
-def A010996():
- x = SR.var('x')
- return { 'ogf': [(x**43/(1-x)**44)] }
-
-
-
-def A010997():
- x = SR.var('x')
- return { 'ogf': [(x**44/(1-x)**45)] }
-
-
-
-def A010998():
- x = SR.var('x')
- return { 'ogf': [(x**45/(1-x)**46)] }
-
-
-
-def A010999():
- x = SR.var('x')
- return { 'ogf': [(x**46/(1-x)**47)] }
-
-
-
-def A011000():
- x = SR.var('x')
- return { 'ogf': [(x**47/(1-x)**48)] }
-
-
-
-def A011001():
- x = SR.var('x')
- return { 'ogf': [(x**48/(1-x)**49)] }
-
-
-
-def A011195():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**2)+(15*x)+4))/(x-1)**5))] }
-
-
-
-def A011197():
- x = SR.var('x')
- return { 'ogf': [((5*x*(4+(39*x)+(46*x**2)+(7*x**3)))/(x-1)**6)] }
-
-
-
-def A011199():
- x = SR.var('x')
- return { 'ogf': [((1+(20*x)+(15*x**2))/(x-1)**4)] }
-
-
-
-def A011245():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(105*x**3)-(355*x**2)-(115*x))/(x-1)**5)] }
-
-
-
-def A011369():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((2*x**6)-x**4)+(7*x**3))-(2*x**2)-x-1))/((x-1)*((x**2+x)-1)*((x**4-x**3)+(2*x**2)+x+1))))] }
-
-
-
-def A011379():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x)))/(1-x)**4)] }
-
-
-
-def A011542():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((((((((((6*x**49)-x**48-x**47-x**46-x**45)+(4*x**44))-x**43-x**42-x**41-x**40)+(3*x**39))-x**38-x**37-x**36-x**35)+(4*x**34))-x**33-x**32-x**31-x**30)+(3*x**29))-x**28-x**27-x**26-x**25)+(5*x**24))-x**23-x**22-x**21-x**20)+(4*x**19))-x**18-x**17-x**16-x**15)+(3*x**14))-x**13-x**12-x**11-x**10)+(4*x**9))-x**8-x**7-x**6-x**5)+(3*x**4))-x**3-x**2-x-1)*x)/((x**51-x**50-x)+1)))] }
-
-
-
-def A011557():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(10*x)))] }
-
-
-
-def A011655():
- x = SR.var('x')
- return { 'ogf': [((x+x**2)/(1-x**3)),
-(x/(1-(x/(1+(x/(1+(x/(1-((2*x)/(1+x))))))))))] }
-
-
-
-def A011656():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**5+x**4+x**2)/(1-x**7))] }
-
-
-
-def A011657():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**3+x+1)/(1-x**7))] }
-
-
-
-def A011760():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**13-x**12-1))/(x-1)**2))] }
-
-
-
-def A011765():
- x = SR.var('x')
- return { 'ogf': [(x**4/(1-x**4))] }
-
-
-
-def A011782():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)))] }
-
-
-
-def A011795():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+x**3))/((1-x)**3*(1-x**2)*(1-x**5)))] }
-
-
-
-def A011819():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((x**6-(7*x**5))+(19*x**4))-(25*x**3))+(23*x**2))-(9*x))+2))/(x-1)**7))] }
-
-
-
-def A011821():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((x**15-(16*x**14))+(118*x**13))-(532*x**12))+(1648*x**11))-(3712*x**10))+(5776*x**9))-(12080*x**8)-(2775*x**7)-(21034*x**6)-(3582*x**5)-(4110*x**4))+(427*x**3))-(192*x**2))+(25*x))-2))/(x-1)**16))] }
-
-
-
-def A011826():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**3-(5*x**2))+(5*x))-2))/(x-1)**4))] }
-
-
-
-def A011827():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((x**6-(7*x**5))+(25*x**4))-(32*x**3))+(26*x**2))-(11*x))+2))/(x-1)**7))] }
-
-
-
-def A011828():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((x**10-(11*x**9))+(69*x**8))-(130*x**7))+(380*x**6))-(400*x**5))+(356*x**4))-(210*x**3))+(82*x**2))-(19*x))+2))/(x-1)**11))] }
-
-
-
-def A011829():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((x**15-(16*x**14))+(114*x**13))-(1154*x**12)-(2541*x**11)-(16919*x**10)-(6585*x**9)-(17282*x**8))+(9460*x**7))-(8548*x**6))+(5196*x**5))-(2426*x**4))+(830*x**3))-(197*x**2))+(29*x))-2))/(x-1)**16))] }
-
-
-
-def A011842():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**2-x)+1)*((x**4-x**3)+x**2+1))/(((-1)+x)**4*(1+x)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A011848():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1-x**2))/((1-x)**3*(1-x**4))),
-(x**3/((1+x**2)*(1-x)**3))] }
-
-
-
-def A011850():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((((((((-(3*x**7))-(3*x**3))+(3*x**8))-(2*x**9))+x**10)-x**5)+(2*x**6))-(2*x))+(3*x**2)+(2*x**4)+1))/((1-x)**5*(x**4+1)*(x**8+1)))] }
-
-
-
-def A011851():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((((((((((((((x**19-(4*x**18))+(8*x**17))-(8*x**16))+(4*x**15))-(3*x**13))+(6*x**12))-(6*x**11))+(3*x**10))-(2*x**8))+(4*x**7))-(4*x**6))+(2*x**5))-x**3)+(2*x**2))-(2*x))+1))/((x-1)**6*(x**20+x**15+x**10+x**5+1)))] }
-
-
-
-def A011858():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**2+1))/((1-x)**3*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A011861():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**2+1)-x))/((1-x)**3*(x**2+1)*(x**4+1)))] }
-
-
-
-def A011862():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**4+1))/((1-x)**3*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A011864():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**2-x)+1)*(1+x**4))/((1-x)**3*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10)))] }
-
-
-
-def A011867():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-x)**3*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A011869():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5*((1-x)+x**2))*((((((1-x)+x**2)-x**3)+x**4)-x**5)+x**6))/(((-1)+x)**3*(1+x**2)*(1+x**4)*(1+x**8))))] }
-
-
-
-def A011870():
- x = SR.var('x')
- return { 'ogf': [(((x**5*((1-x)+x**2))*(1+x**8))/((1-x)**2*(1-x**17)))] }
-
-
-
-def A011871():
- x = SR.var('x')
- return { 'ogf': [((x**5*((x**2-x)+1))/((1-x)**3*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A011872():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5*(1+x**8))*(1+(((-1)+x)*x*(1+x**2))))/((-1)+(x*(2+(x*((-1)+((((-1)+x))**2*x**17))))))))] }
-
-
-
-def A011873():
- x = SR.var('x')
- return { 'ogf': [((x**5*((x**2-x)+1)*((x**6-x**3)+1))/((1-x)**3*(x**2+1)*(x**4+x**3+x**2+x+1)*((((x**8-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A011874():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((1-x**2)+x**3+x**9)-x**10)+x**12))/((1-x)**2*(1-x**21)))] }
-
-
-
-def A011877():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((((((1-x)+x**2)-x**3)+x**6)-x**9)+x**10)-x**11)+x**12))/((1-x)**3*(1+x+x**2)*(x**2+1)*(x**4+1)*((x**4-x**2)+1)*((x**8-x**4)+1)))] }
-
-
-
-def A011878():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((x**4-x**3)+x**2)-x)+1)*(x**4+1)*((x**8-x**4)+1))/((1-x)**3*(1+x**4+x**3+x**2+x)*(1+x**20+x**15+x**10+x**5)))] }
-
-
-
-def A011879():
- x = SR.var('x')
- return { 'ogf': [((x**6*(1+(x*((-1)+(x*(1+(((-1)+x)*x)))))))/(1+(x*((-2)+(x*(1+(x**11*((-1)+((2-x)*x)))))))))] }
-
-
-
-def A011880():
- x = SR.var('x')
- return { 'ogf': [(((x**6*((((1-x**3)+x**5+x**11)-x**13)+x**16))*(1-x**6))/((1-x)*(1-x**2)*(1-x**3)*(1-x**27)))] }
-
-
-
-def A011881():
- x = SR.var('x')
- return { 'ogf': [((x**6*((-1)-(((-1)+x)*x*(1+(((-1)+x)*x))*(1+x**2)*(1+x+x**2)*((1-x**2)+x**4))))/((-1)+(x*(2+(x*((-1)+((((-1)+x))**2*(x**5*((1-x**7)+x**14)))))))))] }
-
-
-
-def A011882():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*((((((((1-x)+x**3)-x**5)+x**6+x**14)-x**15)+x**17)-x**19)+x**20))/((-1)+(x*(2+(x*((-1)+((((-1)+x))**2*x**27))))))))] }
-
-
-
-def A011883():
- x = SR.var('x')
- return { 'ogf': [((x**6*((x**2-x)+1)*((x**4-x**2)+1))/((1-x)**3*(1+x**4+x**3+x**2+x)*(1+x+x**2)*((((((1-x)+x**3)-x**4)+x**5)-x**7)+x**8)))] }
-
-
-
-def A011884():
- x = SR.var('x')
- return { 'ogf': [(-(((x**7*(((1+x**5)-(2*x**7))+x**9+x**14))*(1+(((-1)+x)*x*(1+(((-1)+x)*x))*(1+x+x**2))))/((-1)+(x*(2+(x*((-1)+((((-1)+x))**2*x**29))))))))] }
-
-
-
-def A011885():
- x = SR.var('x')
- return { 'ogf': [((x**7*(((((1+x**2)-x**3)+x**4+x**9+x**14+x**19)-x**20)+x**21+x**23))/((1-x)*(1-x**3)*(1-x**32)))] }
-
-
-
-def A011886():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(3*x)+(2*x**3)))/(((-1)+x)**4*(1+x)*(x**2+1)))] }
-
-
-
-def A011887():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1+x+(3*x**2))-x**3)+(2*x**4)))/(((-1)+x)**4*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A011888():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1+x)*(x-1)**6))] }
-
-
-
-def A011889():
- x = SR.var('x')
- return { 'ogf': [((x**4*((3-x)+(2*x**2)+x**4+x**5))/(((-1)+x)**4*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A011890():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((3-(2*x))+(3*x**2))-x**3)+(2*x**4)+x**6))/(((-1)+x)**4*(1+x)*(1+x**2)*(1+x**4)))] }
-
-
-
-def A011891():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((x**5-x**4)+x**3+x**2)-(2*x))+2))/((x**6+x**3+1)*(x-1)**4))] }
-
-
-
-def A011892():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**3+2))/(((-1)+x)**4*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A011893():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((2-x)+x**2+(2*x**3))-(2*x**4))+(2*x**5)+x**6+x**9))/(((-1)+x)**4*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10)))] }
-
-
-
-def A011894():
- x = SR.var('x')
- return { 'ogf': [((x**4*((-x)+x**2+2))/(((-1)+x)**4*(1+x)*(x**2+1)))] }
-
-
-
-def A011896():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((1+x)-x**2)+(2*x**3))-x**4)+x**5))/((1-x)**3*(1-x**7)))] }
-
-
-
-def A011897():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**3-x**2)+x+1))/(((-1)+x)**4*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A011898():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((1+x**2+(2*x**6))-(2*x**7))+(3*x**8))-x**9)+x**11+x**12)-x**13)+x**14))/(((-1)+x)**4*(1+x)*(1+x**2)*(1+x**4)*(1+x**8)))] }
-
-
-
-def A011899():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((1+x**2)-x**3)+x**4+x**5+x**9+x**10)-x**11)+x**12+x**13)-x**14)+x**15))/(1+(x*((-3)+(x*(3+(x*((-1)+((((-1)+x))**3*x**14)))))))))] }
-
-
-
-def A011900():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+x**2)/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A011901():
- x = SR.var('x')
- return { 'ogf': [(((x**4*(1+x**4))*(1+((x**3*((1-x)+x**3+x**6))*(1+(((-1)+x)*x*(1+x**2))))))/(1+(x*((-3)+(x*(3+(x*((-1)+((((-1)+x))**3*x**16)))))))))] }
-
-
-
-def A011902():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((((((1+x**4+x**5)-x**6)+(2*x**8))-(2*x**9))+(3*x**10))-(2*x**11))+(2*x**12))-x**13)+(2*x**15))-x**17)+x**18))/(((-1)+x)**4*(1+x**4+x**3+x**2+x)*(1+x)*((((1-x)+x**2)-x**3)+x**4)*(1+x**2)*((((x**8-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A011903():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((x**5-x**4)+(2*x**2))-x)+1))/(((-1)+x)**4*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A011904():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((((1-x)+(2*x**2))-x**3)+x**4)-x**5)+(2*x**6))-x**8)+x**9))/(((-1)+x)**4*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10)))] }
-
-
-
-def A011905():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+(x*((-1)+(x*(2+(x*((-1)+((x**2*(1+(((-1)+x)*x**2)))*(1+x+x**6+x**10+x**13))))))))))/(1+(x*((-3)+(x*(3+(x*((-1)+((((-1)+x))**3*x**20)))))))))] }
-
-
-
-def A011906():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)+(23*x))-(33*x**2))+(3*x**3)))/((x-1)*((x**2-(34*x))+1)*((1-(6*x))+x**2)))] }
-
-
-
-def A011907():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((((((((((2-(2*x))+(2*x**2))-x**3)+x**4)-x**5)+(2*x**6))-x**7)+x**8+x**12)-x**13)+(2*x**14))-x**15)+x**16)-x**17)+(2*x**18))-(2*x**19))+(3*x**20))-(2*x**21))+x**22))/(((-1)+x)**4*(1+x**4+x**3+x**2+x)*(x**20+x**15+x**10+x**5+1)))] }
-
-
-
-def A011908():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((2-(2*x))+(2*x**2))-(2*x**3))+(3*x**4))-(2*x**5))+(2*x**6))-(2*x**7))+(3*x**8))-(2*x**9))+x**10))/(((-1)+x)**4*(1+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x)))] }
-
-
-
-def A011910():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((((((2-(2*x))+x**2+x**3)-x**4)+(2*x**6))-x**7)+x**9)-x**10)+(2*x**11))-(2*x**12))+(2*x**13)+x**19+x**21)-(2*x**22))+(3*x**23))-(2*x**24))+x**25))/(((-1)+x)**4*(1+x)*(1+x**2)*((((((1-x)+x**2)-x**3)+x**4)-x**5)+x**6)*(1+x+x**2+x**3+x**4+x**5+x**6)*((((((1-x**2)+x**4)-x**6)+x**8)-x**10)+x**12)))] }
-
-
-
-def A011911():
- x = SR.var('x')
- return { 'ogf': [((x**5*(2+(x*((((((((((((((((((((((-2)+x+x**3)-x**4)+(2*x**5))-(2*x**6))+(2*x**7))-x**8)+x**9)-x**10)+(2*x**11))-x**12)+x**13)-x**14)+(2*x**15))-(2*x**16))+(2*x**17))-x**18)+x**19+x**21)-(2*x**22))+(3*x**23))-(2*x**24))+x**25))))/(1+(x*((-3)+(x*(3+(x*((-1)+((((-1)+x))**3*x**26)))))))))] }
-
-
-
-def A011912():
- x = SR.var('x')
- return { 'ogf': [((x**5*((x**2-(2*x))+2))/(((-1)+x)**4*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A011913():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+(x**4*(1+(x*((-1)+(x**2*(2+(x*((-1)+(x**2*(1+(x*((((((((((-1)+x+x**3)-x**4)+x**5)-x**7)+(2*x**8))-x**10)+x**11+(2*x**15))-(2*x**16))+x**17))))))))))))))/(1+(x*((-3)+(x*(3+(x*((-1)+((((-1)+x))**3*x**28)))))))))] }
-
-
-
-def A011915():
- x = SR.var('x')
- return { 'ogf': [((4*x**4*(1+(2*x)+(2*x**3)+x**4))/((1-x)**5*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A011916():
- x = SR.var('x')
- return { 'ogf': [((x*((-3)+x))/((x-1)*((x**2-(14*x))+1)))] }
-
-
-
-def A011917():
- x = SR.var('x')
- return { 'ogf': [((x**4*(3+(5*x)+x**2+(6*x**3)+x**4+(5*x**5)+(3*x**6)))/((1-x)**5*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A011918():
- x = SR.var('x')
- return { 'ogf': [(-((x*(5+x))/((x-1)*((x**2-(14*x))+1))))] }
-
-
-
-def A011919():
- x = SR.var('x')
- return { 'ogf': [((x**4*(2+(5*x)+(3*x**3)+(4*x**4)+(3*x**5)+(5*x**7)+(2*x**8)))/((1-x)**5*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A011920():
- x = SR.var('x')
- return { 'ogf': [(-((12*x*((1-(44*x))+(11*x**2)))/((x-1)*((x**2-(14*x))+1)*((x**2-(194*x))+1))))] }
-
-
-
-def A011921():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*(1+x+(2*x**2)+x**4+(2*x**5)+x**6+(2*x**8)+x**9+x**10))/((1-x)**5*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10)))] }
-
-
-
-def A011922():
- x = SR.var('x')
- return { 'ogf': [(((1-(12*x))+(3*x**2))/((1-x)*((x**2-(14*x))+1)))] }
-
-
-
-def A011926():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((x**4+1+(2*x))-(3*x**2))+(2*x**3)))/((1-x)**5*(x**4+1)))] }
-
-
-
-def A011930():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**4+(2*x**3)+(2*x)+1))/((1-x)**5*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A011934():
- x = SR.var('x')
- return { 'ogf': [((x**3+(4*x**2)+x)/((((x**5-(3*x**4))+(2*x**3)+(2*x**2))-(3*x))+1))] }
-
-
-
-def A011940():
- x = SR.var('x')
- return { 'ogf': [((4*x**5*((x**2-x)+1))/((1-x)**5*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A011942():
- x = SR.var('x')
- return { 'ogf': [((x**5*((x**2-x)+1)*(((((3*x**8)-x**7-(3*x**6))+(5*x**4))-(3*x**2)-x)+3))/((1-x)**5*(x**4+1)*(x**8+1)))] }
-
-
-
-def A011943():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+x**2))] }
-
-
-
-def A011944():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(14*x))+x**2))] }
-
-
-
-def A011945():
- x = SR.var('x')
- return { 'ogf': [((6*x**2)/((1-(14*x))+x**2))] }
-
-
-
-def A011975():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(2*x)-(2*x**5))+x**7+x**6)-x**8)/((1+x+x**2)*((x**2-x)+1)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A012000():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(4*x))+(16*x**2))))] }
-
-
-
-def A012125():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))+(16*x**2))**(3/2))] }
-
-
-
-def A012493():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/(((1-(5*x))+(4*x**2))-x**3))] }
-
-
-
-def A012772():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(5*x))+(4*x**2))-x**3))] }
-
-
-
-def A012781():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(5*x))+(4*x**2))-x**3))] }
-
-
-
-def A012814():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(5*x))+(4*x**2))-x**3))] }
-
-
-
-def A012855():
- x = SR.var('x')
- return { 'ogf': [(((4*x**2)-x)/(((x**3-(4*x**2))+(5*x))-1))] }
-
-
-
-def A012866():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(3*x)))/((((-1)+(5*x))-(4*x**2))+x**3))] }
-
-
-
-def A012880():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(2*x)))/((((-1)+(5*x))-(4*x**2))+x**3))] }
-
-
-
-def A012886():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(3*x)+(3*x**2))/((((-1)+(5*x))-(4*x**2))+x**3))] }
-
-
-
-def A013654():
- x = SR.var('x')
- return { 'ogf': [(((-2)-(6*x))/((x+1)**2*(x-1)**3))] }
-
-
-
-def A013655():
- x = SR.var('x')
- return { 'ogf': [((3-x)/(1-x-x**2))] }
-
-
-
-def A013708():
- x = SR.var('x')
- return { 'ogf': [(3/(1-(9*x)))] }
-
-
-
-def A013709():
- x = SR.var('x')
- return { 'ogf': [(4/(1-(16*x)))] }
-
-
-
-def A013710():
- x = SR.var('x')
- return { 'ogf': [(5/(1-(25*x)))] }
-
-
-
-def A013711():
- x = SR.var('x')
- return { 'ogf': [(6/(1-(36*x)))] }
-
-
-
-def A013712():
- x = SR.var('x')
- return { 'ogf': [(7/(1-(49*x)))] }
-
-
-
-def A013714():
- x = SR.var('x')
- return { 'ogf': [(9/(1-(81*x)))] }
-
-
-
-def A013715():
- x = SR.var('x')
- return { 'ogf': [(10/(1-(100*x)))] }
-
-
-
-def A013716():
- x = SR.var('x')
- return { 'ogf': [(11/(1-(121*x)))] }
-
-
-
-def A013717():
- x = SR.var('x')
- return { 'ogf': [(12/(1-(144*x)))] }
-
-
-
-def A013718():
- x = SR.var('x')
- return { 'ogf': [(13/(1-(169*x)))] }
-
-
-
-def A013719():
- x = SR.var('x')
- return { 'ogf': [(14/(1-(196*x)))] }
-
-
-
-def A013720():
- x = SR.var('x')
- return { 'ogf': [(15/(1-(225*x)))] }
-
-
-
-def A013721():
- x = SR.var('x')
- return { 'ogf': [(16/(1-(256*x)))] }
-
-
-
-def A013722():
- x = SR.var('x')
- return { 'ogf': [(17/(1-(289*x)))] }
-
-
-
-def A013723():
- x = SR.var('x')
- return { 'ogf': [(18/(1-(324*x)))] }
-
-
-
-def A013724():
- x = SR.var('x')
- return { 'ogf': [(19/(1-(361*x)))] }
-
-
-
-def A013725():
- x = SR.var('x')
- return { 'ogf': [(20/(1-(400*x)))] }
-
-
-
-def A013726():
- x = SR.var('x')
- return { 'ogf': [(21/(1-(441*x)))] }
-
-
-
-def A013727():
- x = SR.var('x')
- return { 'ogf': [(22/(1-(484*x)))] }
-
-
-
-def A013728():
- x = SR.var('x')
- return { 'ogf': [(23/(1-(529*x)))] }
-
-
-
-def A013729():
- x = SR.var('x')
- return { 'ogf': [(24/(1-(576*x)))] }
-
-
-
-def A013730():
- x = SR.var('x')
- return { 'ogf': [(2/(1-(8*x)))] }
-
-
-
-def A013731():
- x = SR.var('x')
- return { 'ogf': [(4/(1-(8*x)))] }
-
-
-
-def A013732():
- x = SR.var('x')
- return { 'ogf': [(3/(1-(27*x)))] }
-
-
-
-def A013733():
- x = SR.var('x')
- return { 'ogf': [(9/(1-(27*x)))] }
-
-
-
-def A013734():
- x = SR.var('x')
- return { 'ogf': [(4/(1-(64*x)))] }
-
-
-
-def A013735():
- x = SR.var('x')
- return { 'ogf': [(16/(1-(64*x)))] }
-
-
-
-def A013736():
- x = SR.var('x')
- return { 'ogf': [(5/(1-(125*x)))] }
-
-
-
-def A013737():
- x = SR.var('x')
- return { 'ogf': [(25/(1-(125*x)))] }
-
-
-
-def A013738():
- x = SR.var('x')
- return { 'ogf': [(6/(1-(216*x)))] }
-
-
-
-def A013739():
- x = SR.var('x')
- return { 'ogf': [(36/(1-(216*x)))] }
-
-
-
-def A013740():
- x = SR.var('x')
- return { 'ogf': [(7/(1-(343*x)))] }
-
-
-
-def A013741():
- x = SR.var('x')
- return { 'ogf': [(49/(1-(343*x)))] }
-
-
-
-def A013742():
- x = SR.var('x')
- return { 'ogf': [(8/(1-(512*x)))] }
-
-
-
-def A013743():
- x = SR.var('x')
- return { 'ogf': [(64/(1-(512*x)))] }
-
-
-
-def A013744():
- x = SR.var('x')
- return { 'ogf': [(9/(1-(729*x)))] }
-
-
-
-def A013745():
- x = SR.var('x')
- return { 'ogf': [(81/(1-(729*x)))] }
-
-
-
-def A013746():
- x = SR.var('x')
- return { 'ogf': [(10/(1-(1000*x)))] }
-
-
-
-def A013747():
- x = SR.var('x')
- return { 'ogf': [(100/(1-(1000*x)))] }
-
-
-
-def A013748():
- x = SR.var('x')
- return { 'ogf': [(11/(1-(1331*x)))] }
-
-
-
-def A013749():
- x = SR.var('x')
- return { 'ogf': [(121/(1-(1331*x)))] }
-
-
-
-def A013750():
- x = SR.var('x')
- return { 'ogf': [(12/(1-(1728*x)))] }
-
-
-
-def A013751():
- x = SR.var('x')
- return { 'ogf': [(144/(1-(1728*x)))] }
-
-
-
-def A013752():
- x = SR.var('x')
- return { 'ogf': [(13/(1-(2197*x)))] }
-
-
-
-def A013753():
- x = SR.var('x')
- return { 'ogf': [(169/(1-(2197*x)))] }
-
-
-
-def A013754():
- x = SR.var('x')
- return { 'ogf': [(14/(1-(2744*x)))] }
-
-
-
-def A013756():
- x = SR.var('x')
- return { 'ogf': [(15/(1-(3375*x)))] }
-
-
-
-def A013757():
- x = SR.var('x')
- return { 'ogf': [(225/(1-(3375*x)))] }
-
-
-
-def A013758():
- x = SR.var('x')
- return { 'ogf': [(16/(1-(4096*x)))] }
-
-
-
-def A013759():
- x = SR.var('x')
- return { 'ogf': [(256/(1-(4096*x)))] }
-
-
-
-def A013760():
- x = SR.var('x')
- return { 'ogf': [(17/(1-(4913*x)))] }
-
-
-
-def A013761():
- x = SR.var('x')
- return { 'ogf': [(289/(1-(4913*x)))] }
-
-
-
-def A013762():
- x = SR.var('x')
- return { 'ogf': [(18/(1-(5832*x)))] }
-
-
-
-def A013763():
- x = SR.var('x')
- return { 'ogf': [(324/(1-(5832*x)))] }
-
-
-
-def A013776():
- x = SR.var('x')
- return { 'ogf': [(2/(1-(16*x)))] }
-
-
-
-def A013777():
- x = SR.var('x')
- return { 'ogf': [(8/(1-(16*x)))] }
-
-
-
-def A013778():
- x = SR.var('x')
- return { 'ogf': [(3/(1-(81*x)))] }
-
-
-
-def A013779():
- x = SR.var('x')
- return { 'ogf': [(27/(1-(81*x)))] }
-
-
-
-def A013780():
- x = SR.var('x')
- return { 'ogf': [(4/(1-(256*x)))] }
-
-
-
-def A013781():
- x = SR.var('x')
- return { 'ogf': [(64/(1-(256*x)))] }
-
-
-
-def A013782():
- x = SR.var('x')
- return { 'ogf': [(5/(1-(625*x)))] }
-
-
-
-def A013783():
- x = SR.var('x')
- return { 'ogf': [(125/(1-(625*x)))] }
-
-
-
-def A013784():
- x = SR.var('x')
- return { 'ogf': [(6/(1-(1296*x)))] }
-
-
-
-def A013785():
- x = SR.var('x')
- return { 'ogf': [(216/(1-(1296*x)))] }
-
-
-
-def A013786():
- x = SR.var('x')
- return { 'ogf': [(7/(1-(2401*x)))] }
-
-
-
-def A013787():
- x = SR.var('x')
- return { 'ogf': [(343/(1-(2401*x)))] }
-
-
-
-def A013788():
- x = SR.var('x')
- return { 'ogf': [(8/(1-(4096*x)))] }
-
-
-
-def A013789():
- x = SR.var('x')
- return { 'ogf': [(512/(1-(4096*x)))] }
-
-
-
-def A013790():
- x = SR.var('x')
- return { 'ogf': [(9/(1-(6561*x)))] }
-
-
-
-def A013791():
- x = SR.var('x')
- return { 'ogf': [(729/(1-(6561*x)))] }
-
-
-
-def A013822():
- x = SR.var('x')
- return { 'ogf': [(2/(1-(32*x)))] }
-
-
-
-def A013823():
- x = SR.var('x')
- return { 'ogf': [(4/(1-(32*x)))] }
-
-
-
-def A013824():
- x = SR.var('x')
- return { 'ogf': [(8/(1-(32*x)))] }
-
-
-
-def A013825():
- x = SR.var('x')
- return { 'ogf': [(16/(1-(32*x)))] }
-
-
-
-def A013826():
- x = SR.var('x')
- return { 'ogf': [(3/(1-(243*x)))] }
-
-
-
-def A013827():
- x = SR.var('x')
- return { 'ogf': [(9/(1-(243*x)))] }
-
-
-
-def A013828():
- x = SR.var('x')
- return { 'ogf': [(27/(1-(243*x)))] }
-
-
-
-def A013829():
- x = SR.var('x')
- return { 'ogf': [(81/(1-(243*x)))] }
-
-
-
-def A013830():
- x = SR.var('x')
- return { 'ogf': [(4/(1-(1024*x)))] }
-
-
-
-def A013831():
- x = SR.var('x')
- return { 'ogf': [(16/(1-(1024*x)))] }
-
-
-
-def A013832():
- x = SR.var('x')
- return { 'ogf': [(64/(1-(1024*x)))] }
-
-
-
-def A013833():
- x = SR.var('x')
- return { 'ogf': [(256/(1-(1024*x)))] }
-
-
-
-def A013834():
- x = SR.var('x')
- return { 'ogf': [(5/(1-(3125*x)))] }
-
-
-
-def A013835():
- x = SR.var('x')
- return { 'ogf': [(25/(1-(3125*x)))] }
-
-
-
-def A013836():
- x = SR.var('x')
- return { 'ogf': [(125/(1-(3125*x)))] }
-
-
-
-def A013837():
- x = SR.var('x')
- return { 'ogf': [(625/(1-(3125*x)))] }
-
-
-
-def A013881():
- x = SR.var('x')
- return { 'ogf': [(65536/(1-(1048576*x)))] }
-
-
-
-def A013915():
- x = SR.var('x')
- return { 'ogf': [(((((-3)+(6*x))-(4*x**2))+(2*x**3))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A013945():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**5+(3*x**4))-x**3)+(2*x**2)+(2*x)+3))/(1-x**2)**3)] }
-
-
-
-def A013977():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(21*x**2)+(58*x**3)+(47*x**4)+(35*x**5)+(21*x**6)+x**7)/(1-x)**2/(1-x**3)**2)] }
-
-
-
-def A013983():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1-x**5-x**3-x)))] }
-
-
-
-def A013991():
- x = SR.var('x')
- return { 'ogf': [(((((((-(7*x**6))+(15*x**5))-(12*x**4))+(2*x**3)+(4*x**2))-(5*x))+1)/(((1-x)+x**2)*(((1-(5*x))+(9*x**3))-(7*x**4))))] }
-
-
-
-def A014010():
- x = SR.var('x')
- return { 'ogf': [((2-x**2-(2*x**4))/((x-1)*(((3*x**4)+(2*x**3)+(3*x**2)+(2*x))-1)))] }
-
-
-
-def A014016():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x+x**2+x**3+x**4+x**5+x**6))] }
-
-
-
-def A014017():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x**4))] }
-
-
-
-def A014021():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)+x**4))] }
-
-
-
-def A014023():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-x)+x**2)-x**3)+x**4)-x**5)+x**6))] }
-
-
-
-def A014024():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-x)+x**3)-x**4)+x**5)-x**7)+x**8))] }
-
-
-
-def A014025():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x**8))] }
-
-
-
-def A014026():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10+x**11+x**12+x**13+x**14+x**15+x**16))] }
-
-
-
-def A014027():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**3)+x**6))] }
-
-
-
-def A014095():
- x = SR.var('x')
- return { 'ogf': [(((((((((x**8-(3*x**7))+(13*x**6))-(17*x**5))+(44*x**4))-(17*x**3))+(13*x**2))-(3*x))+1)/((x-1)**8*(x+1)**4))] }
-
-
-
-def A014097():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(4*x**3)))/((-1)+x+x**4)))] }
-
-
-
-def A014101():
- x = SR.var('x')
- return { 'ogf': [(((-(2*x**3))-1)/((x**4+x)-1))] }
-
-
-
-def A014105():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/(1-x)**3)] }
-
-
-
-def A014107():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(5*x)))/(1-x)**3)] }
-
-
-
-def A014112():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x**3)+(3*x**2))-x))/((x+1)*(x-1)**4))] }
-
-
-
-def A014113():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(1+x)/(1-(2*x)))] }
-
-
-
-def A014125():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**3*(1-x**3))),
-(1/((1-x)**3*(1-x**3)))] }
-
-
-
-def A014126():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)**2*(1-x**2)*(1-x**3)))] }
-
-
-
-def A014131():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(2*x))*(1-x)*(1+x)))] }
-
-
-
-def A014137():
- x = SR.var('x')
- return { 'ogf': [((1-(1-(4*x))**(1/2))/(2*x*(1-x)))] }
-
-
-
-def A014138():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt((1-(4*x))))/(2*x*(1-x)))] }
-
-
-
-def A014143():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt((1-(4*x))))/(2*x**2*(1-x)**2))] }
-
-
-
-def A014162():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**3*(1-x-x**2)))] }
-
-
-
-def A014166():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**4*(1-x-x**2)))] }
-
-
-
-def A014205():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-(2*x)-1))/(x-1)**5)] }
-
-
-
-def A014209():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(6*x))-(3*x**2))/(1-x)**3)] }
-
-
-
-def A014217():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**3)/((1+x)*(1-x)*(1-x-x**2)))] }
-
-
-
-def A014236():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x))/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A014283():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**2))+(5*x**3))/((((1-(4*x))+(5*x**2))-x**3-(2*x**4))+x**5))] }
-
-
-
-def A014286():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/((1-x)*(1-x-x**2)**2))] }
-
-
-
-def A014291():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)*(x-1))/(((x**4+x**2)-(2*x))+1))] }
-
-
-
-def A014292():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))+x**2+x**4))] }
-
-
-
-def A014300():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(4*x))+((1+(2*x))*sqrt((1-(4*x))))))] }
-
-
-
-def A014301():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt((1-(4*x))))/(((3*sqrt((1-(4*x))))-1)+(4*x)))] }
-
-
-
-def A014309():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+x**4)-(5*x**3))+(10*x**2))-(8*x)))/(x-1)**5)] }
-
-
-
-def A014314():
- x = SR.var('x')
- return { 'ogf': [((1-x-((1-x-(4*x**2))/sqrt((1-(4*x**2)))))/(2*x*(1-(2*x))))] }
-
-
-
-def A014318():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x))))/(2*x*(1-(2*x))))] }
-
-
-
-def A014334():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((x-1)*(((4*x**2)+(2*x))-1)))] }
-
-
-
-def A014335():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(2*x)-(4*x**2))/(1-x))] }
-
-
-
-def A014336():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**3)/(((x**2-(3*x))+1)*(((9*x**2)+(3*x))-1))))] }
-
-
-
-def A014337():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1-(3*x))+x**2)*(1-(3*x)-(9*x**2))))] }
-
-
-
-def A014340():
- x = SR.var('x')
- return { 'ogf': [((-(24*x**4))/(((2*x)-1)*(((16*x**2)+(4*x))-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A014341():
- x = SR.var('x')
- return { 'ogf': [(-(x**4/(((2*x)-1)*(((16*x**2)+(4*x))-1)*((x**2+(4*x))-1))))] }
-
-
-
-def A014391():
- x = SR.var('x')
- return { 'ogf': [(-((((7*x)-(3*x**2))+(5*x**3)+1)/((x-1)*(1+x**2))))] }
-
-
-
-def A014395():
- x = SR.var('x')
- return { 'ogf': [((((x**21+x**20+(5*x**19)+(8*x**18)+(14*x**17)+(22*x**16)+(32*x**15)+(40*x**14)+(39*x**13)+(47*x**12)+(36*x**11)+(36*x**10)+(25*x**9)+(21*x**8)+(12*x**7)+(11*x**6)+(4*x**5)+(4*x**4)+x**3+x**2)-x)+1)/((x**6-1)*(x**5-1)**2*(x**4-1)**2*(x**3-1)**2*(x-1)**3*(x+1)))] }
-
-
-
-def A014409():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**5+x**4+(3*x**3)+x**2+(4*x)+2))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A014431():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((1-(2*x)-(7*x**2))))/2)] }
-
-
-
-def A014435():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((1-(2*x)-(23*x**2))))/(2*x))] }
-
-
-
-def A014437():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-x)+x**2)-x**3)/((-1)+(4*x**2)+x**4))] }
-
-
-
-def A014447():
- x = SR.var('x')
- return { 'ogf': [(((-x**3)+(3*x**2)+(3*x)+1)/(((-x**4)-(4*x**2))+1))] }
-
-
-
-def A014448():
- x = SR.var('x')
- return { 'ogf': [((2-(4*x))/(1-(4*x)-x**2))] }
-
-
-
-def A014493():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-x**4-(2*x**3)-(10*x**2)-(2*x)))/((x+1)**2*(x-1)**3))] }
-
-
-
-def A014494():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((3*x**2)+(2*x)+3))/((x+1)**2*(x-1)**3)))] }
-
-
-
-def A014523():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+x**2)/((((1-(7*x))+(9*x**2))-(7*x**3))+x**4))] }
-
-
-
-def A014524():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1))/((((x**4-(7*x**3))+(9*x**2))-(7*x))+1))] }
-
-
-
-def A014532():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(4*x))+x**2+(6*x**3)+(((1-(3*x))+(2*x**3))*sqrt((1-(2*x)-(3*x**2))))))] }
-
-
-
-def A014551():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-x-(2*x**2)))] }
-
-
-
-def A014557():
- x = SR.var('x')
- return { 'ogf': [((2*x**6)/((x-1)**4*(x+1)**2*(x**2+1)))] }
-
-
-
-def A014591():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-x**3))-x**2)/(1-x)/(1-x**2))] }
-
-
-
-def A014601():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((1+x)*(x-1)**2)),
-(((2*x)/(1-x)**2)+((((1/(1-x))+(1/(1+x)))*x)/2))] }
-
-
-
-def A014610():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x)+(2*x**2)+x**3)/(1-x-x**2-x**3-x**4))] }
-
-
-
-def A014616():
- x = SR.var('x')
- return { 'ogf': [((x*((-2)+x**2))/((1+x)*(x-1)**3))] }
-
-
-
-def A014628():
- x = SR.var('x')
- return { 'ogf': [((x*((((3-(7*x))+(10*x**2))-(5*x**3))+x**4))/(1-x)**5)] }
-
-
-
-def A014629():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-4)+(5*x))-(4*x**2))+x**3))/(x-1)**5)] }
-
-
-
-def A014632():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(28*x**2)+(8*x**3)+(7*x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A014633():
- x = SR.var('x')
- return { 'ogf': [((2*(6+(5*x)+(12*x**2)+x**3))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A014634():
- x = SR.var('x')
- return { 'ogf': [((1+(12*x)+(3*x**2))/(1-x)**3)] }
-
-
-
-def A014637():
- x = SR.var('x')
- return { 'ogf': [((1+(13*x**4)+(14*x**3)+(46*x**2)+(6*x))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A014640():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((2*x**3)+(21*x**2)+(8*x)+9))/((x+1)**2*(x-1)**3)))] }
-
-
-
-def A014641():
- x = SR.var('x')
- return { 'ogf': [((1+(18*x)+(5*x**2))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A014642():
- x = SR.var('x')
- return { 'ogf': [((x*(8+(16*x)))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A014670():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**3)*(1+x**5)*(1+x**7)*(1+x**9))/((1-x**2)*(1-x**4)*(1-x**6)*(1-x**8)*(1-x**10)))] }
-
-
-
-def A014679():
- x = SR.var('x')
- return { 'ogf': [((1+x**3)**2/((1-x**2)*(1-x**3)*(1-x**4))),
-(((1-x)+x**2)**2/((1-x)**3*(1+x**2)*(1+x+x**2)))] }
-
-
-
-def A014682():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/(1-x**2)**2)] }
-
-
-
-def A014695():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1-x)*(1+x**2)))] }
-
-
-
-def A014696():
- x = SR.var('x')
- return { 'ogf': [((1+x+(5*x**2)+x**3+x**4)/((1-x)**2*(1-x**2)**4))] }
-
-
-
-def A014717():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+(14*x))-9)/((x+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A014718():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((4*x**9)-(8*x**8))+(36*x**7))-(115*x**6))+(86*x**5)+(70*x**4))-(162*x**3))+(130*x**2))-(54*x))+9)/((x-1)**3*(x+1)*((x**2-(3*x))+1)*((x**2+x)-1)**2)))] }
-
-
-
-def A014728():
- x = SR.var('x')
- return { 'ogf': [((((((-x**5)-x**4)+(8*x**3))-(8*x**2))+x+1)/((1+x**2)*((1+(4*x))-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A014729():
- x = SR.var('x')
- return { 'ogf': [((4*((-x**2)+x))/((1+x)*((1-(18*x))+x**2)))] }
-
-
-
-def A014730():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(x**4+(10*x**3)+(42*x**2)+(10*x)+1))/((x**2-(4*x)-1)*(x**2+1)*((x**2+(4*x))-1))))] }
-
-
-
-def A014731():
- x = SR.var('x')
- return { 'ogf': [((4*(((-(4*x**2))-(13*x))+1))/((1+x)*((1-(18*x))+x**2)))] }
-
-
-
-def A014739():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)*(1-x-x**2)))] }
-
-
-
-def A014742():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-(2*x)-(2*x**2))+x**3))] }
-
-
-
-def A014771():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(220*x)+(910*x**2)+(396*x**3)+(9*x**4)))/(1-x)**5)] }
-
-
-
-def A014772():
- x = SR.var('x')
- return { 'ogf': [((4*x*(9+(151*x)+(199*x**2)+(25*x**3)))/(1-x)**5)] }
-
-
-
-def A014793():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(25*x**4)-(964*x**3)-(2030*x**2)-(436*x))/(x-1)**5)] }
-
-
-
-def A014794():
- x = SR.var('x')
- return { 'ogf': [((64*x*(1+(20*x)+(29*x**2)+(4*x**3)))/(1-x)**5)] }
-
-
-
-def A014797():
- x = SR.var('x')
- return { 'ogf': [(-((x**12+(24*x**11)+(2994*x**10)+(5112*x**9)+(54959*x**8)+(35824*x**7)+(129852*x**6)+(35824*x**5)+(54959*x**4)+(5112*x**3)+(2994*x**2)+(24*x)+1)/((x-1)**7*(x+1)**6)))] }
-
-
-
-def A014798():
- x = SR.var('x')
- return { 'ogf': [(-((4*((49*x**10)+(176*x**9)+(4381*x**8)+(4448*x**7)+(26290*x**6)+(11232*x**5)+(26290*x**4)+(4448*x**3)+(4381*x**2)+(176*x)+49))/((x-1)**7*(x+1)**6)))] }
-
-
-
-def A014799():
- x = SR.var('x')
- return { 'ogf': [((1+(5618*x)+(124671*x**2)+(369404*x**3)+(216463*x**4)+(21042*x**5)+(81*x**6))/(1-x)**7)] }
-
-
-
-def A014800():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(x**16+(143*x**15)+(481*x**14)+(1394*x**13)+(9661*x**12)+(10814*x**11)+(15996*x**10)+(45222*x**9)+(25248*x**8)+(23414*x**7)+(33610*x**6)+(9218*x**5)+(5203*x**4)+(3515*x**3)+(319*x**2)+(72*x)+9))/((x-1)**7*(x**2+x+1)**6)))] }
-
-
-
-def A014801():
- x = SR.var('x')
- return { 'ogf': [(-(((9*x**12)+(160*x**11)+(15402*x**10)+(24624*x**9)+(244415*x**8)+(151296*x**7)+(518380*x**6)+(134944*x**5)+(195863*x**4)+(16608*x**3)+(8970*x**2)+(48*x)+1)/((x-1)**7*(x+1)**6)))] }
-
-
-
-def A014803():
- x = SR.var('x')
- return { 'ogf': [(-((4*((289*x**10)+(936*x**9)+(20757*x**8)+(19952*x**7)+(110626*x**6)+(44832*x**5)+(99442*x**4)+(15696*x**3)+(14525*x**2)+(504*x)+121))/((x-1)**7*(x+1)**6)))] }
-
-
-
-def A014820():
- x = SR.var('x')
- return { 'ogf': [((1+x)**3/(1-x)**5)] }
-
-
-
-def A014824():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(12*x))+(21*x**2))-(10*x**3)))] }
-
-
-
-def A014825():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))*(1-x)**2))] }
-
-
-
-def A014827():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))*(1-x)**2))] }
-
-
-
-def A014832():
- x = SR.var('x')
- return { 'ogf': [(-(1/((x-1)**2*((9*x)-1))))] }
-
-
-
-def A014844():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(2*x**2)+x**3)/((1-x)**3*(1-(2*x))))] }
-
-
-
-def A014848():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((1-x)**2*(1-x**2)))] }
-
-
-
-def A014899():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(16*x))*(x-1)**2))] }
-
-
-
-def A014904():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(20*x))*(x-1)**2))] }
-
-
-
-def A014909():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((-1)+x)**2*((-1)+(23*x)))))] }
-
-
-
-def A014915():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(3*x))**2))] }
-
-
-
-def A014916():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(4*x))**2))] }
-
-
-
-def A014917():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(5*x))**2))] }
-
-
-
-def A014918():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(6*x))**2))] }
-
-
-
-def A014920():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(7*x))**2))] }
-
-
-
-def A014921():
- x = SR.var('x')
- return { 'ogf': [(-(x/((x-1)*((8*x)-1)**2)))] }
-
-
-
-def A014923():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(9*x))**2))] }
-
-
-
-def A014925():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(10*x))**2))] }
-
-
-
-def A014926():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(11*x))**2))] }
-
-
-
-def A014927():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(12*x))**2))] }
-
-
-
-def A014928():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(13*x))**2))] }
-
-
-
-def A014934():
- x = SR.var('x')
- return { 'ogf': [(-(x/((x-1)*((17*x)-1)**2)))] }
-
-
-
-def A014940():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*((-1)+(22*x))**2))] }
-
-
-
-def A014942():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(24*x))**2))] }
-
-
-
-def A014979():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(15*x)))/((1-x)*((1-(194*x))+x**2)))] }
-
-
-
-def A014983():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+(3*x))))] }
-
-
-
-def A014985():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(3*x))-(4*x**2)))] }
-
-
-
-def A014986():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+(5*x))))] }
-
-
-
-def A014987():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(6*x))*(1-x)))] }
-
-
-
-def A014990():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(7*x))-(8*x**2)))] }
-
-
-
-def A014991():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+(9*x))))] }
-
-
-
-def A014992():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+(10*x))))] }
-
-
-
-def A014993():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+(11*x))))] }
-
-
-
-def A014994():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+(12*x))))] }
-
-
-
-def A015000():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+(13*x))))] }
-
-
-
-def A015219():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(30*x)+x**2))/(1-x)**4)] }
-
-
-
-def A015220():
- x = SR.var('x')
- return { 'ogf': [((2*(2+(3*x)+(5*x**2)+(12*x**3)+(5*x**4)+(3*x**5)+(2*x**6)))/((1-x)**4*(1+x+x**2)**3))] }
-
-
-
-def A015223():
- x = SR.var('x')
- return { 'ogf': [((1+(71*x)+(111*x**2)+(9*x**3))/(1-x)**4)] }
-
-
-
-def A015224():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3+(6*x)+(11*x**2)+(34*x**3)+(17*x**4)+(13*x**5)+(11*x**6)+x**7))/((1-x)**4*(1+x+x**2)**3))] }
-
-
-
-def A015234():
- x = SR.var('x')
- return { 'ogf': [((x*(15-(8*x)-(19*x**2)))/(1-x)**4)] }
-
-
-
-def A015237():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(3*x**2)))/(1-x)**4)] }
-
-
-
-def A015238():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(8*x)+(5*x**2)))/(1-x)**4)] }
-
-
-
-def A015240():
- x = SR.var('x')
- return { 'ogf': [((x*((-3)+(8*x)+(7*x**2)))/(1-x)**4)] }
-
-
-
-def A015242():
- x = SR.var('x')
- return { 'ogf': [((x*((-5)+(8*x)+(9*x**2)))/(x-1)**4)] }
-
-
-
-def A015243():
- x = SR.var('x')
- return { 'ogf': [((x*((-7)+(8*x)+(11*x**2)))/(1-x)**4)] }
-
-
-
-def A015245():
- x = SR.var('x')
- return { 'ogf': [((x*((-9)+(8*x)+(13*x**2)))/(1-x)**4)] }
-
-
-
-def A015246():
- x = SR.var('x')
- return { 'ogf': [((x*((-11)+(8*x)+(15*x**2)))/(1-x)**4)] }
-
-
-
-def A015247():
- x = SR.var('x')
- return { 'ogf': [((x*((-13)+(8*x)+(17*x**2)))/(1-x)**4)] }
-
-
-
-def A015249():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A015251():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(3*x))*(1-(9*x))))] }
-
-
-
-def A015253():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(4*x))*(1-(16*x))))] }
-
-
-
-def A015255():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(5*x))*(1-(25*x))))] }
-
-
-
-def A015257():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(6*x))*(1-(36*x))))] }
-
-
-
-def A015258():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(7*x))*(1-(49*x))))] }
-
-
-
-def A015259():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(8*x))*(1-(64*x))))] }
-
-
-
-def A015260():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(9*x))*(1-(81*x))))] }
-
-
-
-def A015261():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(10*x))*(1-(100*x))))] }
-
-
-
-def A015262():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(11*x))*(1-(121*x))))] }
-
-
-
-def A015264():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(12*x))*(1-(144*x))))] }
-
-
-
-def A015265():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(13*x))*(1-(169*x))))] }
-
-
-
-def A015266():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-(2*x)-(8*x**2))*((1+(7*x))-(8*x**2))))] }
-
-
-
-def A015268():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1+(3*x))*(1-(9*x))*(1+(27*x))))] }
-
-
-
-def A015271():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1+(4*x))*(1-(16*x))*(1+(64*x))))] }
-
-
-
-def A015272():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1+(5*x))*(1-(25*x))*(1+(125*x))))] }
-
-
-
-def A015273():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1+(6*x))*(1-(36*x))*(1+(216*x))))] }
-
-
-
-def A015275():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1+(7*x))*(1-(49*x))*(1+(343*x))))] }
-
-
-
-def A015276():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1+(8*x))*(1-(64*x))*(1+(512*x))))] }
-
-
-
-def A015277():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1+(9*x))*(1-(81*x))*(1+(729*x))))] }
-
-
-
-def A015278():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1+(10*x))*(1-(100*x))*(1+(1000*x))))] }
-
-
-
-def A015287():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)*(1+(2*x))*(1-(4*x))*(1+(8*x))*(1-(16*x))))] }
-
-
-
-def A015331():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-x)*(1+(8*x))*(1-(64*x))*(1+(512*x))*(1-(4096*x))*(1+(32768*x))*(1-(262144*x))))] }
-
-
-
-def A015332():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-x)*(1+(9*x))*(1-(81*x))*(1+(729*x))*(1-(6561*x))*(1+(59049*x))*(1-(531441*x))))] }
-
-
-
-def A015333():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-x)*(1+(10*x))*(1-(100*x))*(1+(1000*x))*(1-(10000*x))*(1+(100000*x))*(1-(1000000*x))))] }
-
-
-
-def A015334():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-x)*(1+(11*x))*(1-(121*x))*(1+(1331*x))*(1-(14641*x))*(1+(161051*x))*(1-(1771561*x))))] }
-
-
-
-def A015390():
- x = SR.var('x')
- return { 'ogf': [(x**10/((x-1)*((4*x)+1)*((16*x)-1)*((64*x)+1)*((256*x)-1)*((1024*x)+1)*((4096*x)-1)*((16384*x)+1)*((65536*x)-1)*((262144*x)+1)*((1048576*x)-1)))] }
-
-
-
-def A015441():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(2*x))*(1-(3*x))))] }
-
-
-
-def A015443():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(8*x**2)))] }
-
-
-
-def A015446():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(10*x**2)))] }
-
-
-
-def A015447():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(11*x**2)))] }
-
-
-
-def A015449():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(1-(5*x)-x**2))] }
-
-
-
-def A015451():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/(1-(6*x)-x**2))] }
-
-
-
-def A015453():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(1-(7*x)-x**2))] }
-
-
-
-def A015454():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/(1-(8*x)-x**2))] }
-
-
-
-def A015455():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/(1-(9*x)-x**2))] }
-
-
-
-def A015456():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/(1-(10*x)-x**2))] }
-
-
-
-def A015457():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/(1-(11*x)-x**2))] }
-
-
-
-def A015518():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(3*x**2))),
-((x*(1+x)**2)/(1-(6*x**2)-(8*x**3)-(3*x**4)))] }
-
-
-
-def A015519():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(7*x**2)))] }
-
-
-
-def A015521():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)-(4*x**2)))] }
-
-
-
-def A015523():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)-(5*x**2)))] }
-
-
-
-def A015528():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(x*((10*x)+3))))] }
-
-
-
-def A015531():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))*(1+x)))] }
-
-
-
-def A015540():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(6*x))*(1+x)))] }
-
-
-
-def A015544():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(5*x)-(8*x**2)))] }
-
-
-
-def A015552():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(6*x)-(7*x**2)))] }
-
-
-
-def A015565():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(7*x)-(8*x**2)))] }
-
-
-
-def A015577():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)*(1-(9*x))))] }
-
-
-
-def A015583():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(9*x)-(7*x**2)))] }
-
-
-
-def A015585():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(9*x)-(10*x**2)))] }
-
-
-
-def A015592():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(10*x)-(11*x**2)))] }
-
-
-
-def A015593():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(11*x)-(2*x**2)))] }
-
-
-
-def A015594():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(3*x**2)))] }
-
-
-
-def A015596():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(4*x**2)))] }
-
-
-
-def A015597():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(5*x**2)))] }
-
-
-
-def A015598():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(6*x**2)))] }
-
-
-
-def A015601():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(7*x**2)))] }
-
-
-
-def A015602():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(8*x**2)))] }
-
-
-
-def A015603():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(9*x**2)))] }
-
-
-
-def A015606():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(10*x**2)))] }
-
-
-
-def A015609():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-(12*x**2)))] }
-
-
-
-def A015610():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(12*x)-(5*x**2)))] }
-
-
-
-def A015611():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(12*x)-(7*x**2)))] }
-
-
-
-def A015612():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((11*x**2)+(12*x))-1)))] }
-
-
-
-def A016029():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/((1-(2*x))*(1+x**2)))] }
-
-
-
-def A016061():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/(1-x)**4)] }
-
-
-
-def A016084():
- x = SR.var('x')
- return { 'ogf': [((x*((5+(2*x**4)+(6*x**3))-(4*x**2)))/((x+1)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A016116():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x**2)))] }
-
-
-
-def A016123():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-x)))/(10*x))] }
-
-
-
-def A016129():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(6*x))))] }
-
-
-
-def A016152():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))*(1-(8*x))))] }
-
-
-
-def A016153():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))*(1-(9*x))))] }
-
-
-
-def A016169():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(6*x))*(1-(7*x))))] }
-
-
-
-def A016177():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(7*x))*(1-(8*x))))] }
-
-
-
-def A016185():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))*(1-(9*x))))] }
-
-
-
-def A016189():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))*(1-(10*x))))] }
-
-
-
-def A016195():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))*(1-(11*x))))] }
-
-
-
-def A016197():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(11*x))*(1-(12*x))))] }
-
-
-
-def A016269():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A016283():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))*(1-(4*x))*(1-(6*x))))] }
-
-
-
-def A016302():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(5*x))*(1-(12*x))))] }
-
-
-
-def A016305():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(6*x))*(1-(8*x))))] }
-
-
-
-def A016306():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(6*x))*(1-(9*x))))] }
-
-
-
-def A016307():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(6*x))*(1-(10*x))))] }
-
-
-
-def A016743():
- x = SR.var('x')
- return { 'ogf': [((x*(8+(32*x)+(8*x**2)))/((((1-(4*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A016744():
- x = SR.var('x')
- return { 'ogf': [((16*x*(x+1)*(x**2+(10*x)+1))/(1-x)**5)] }
-
-
-
-def A016745():
- x = SR.var('x')
- return { 'ogf': [((32*x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A016746():
- x = SR.var('x')
- return { 'ogf': [(-((64*x*(1+x)*(x**4+(56*x**3)+(246*x**2)+(56*x)+1))/(x-1)**7))] }
-
-
-
-def A016748():
- x = SR.var('x')
- return { 'ogf': [(-((256*x*(1+x)*(x**6+(246*x**5)+(4047*x**4)+(11572*x**3)+(4047*x**2)+(246*x)+1))/(x-1)**9))] }
-
-
-
-def A016755():
- x = SR.var('x')
- return { 'ogf': [((1+(23*x)+(23*x**2)+x**3)/((((1-(4*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A016765():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))*(1-(4*x))*(1-(6*x))))] }
-
-
-
-def A016766():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*(1+x))/(x-1)**3))] }
-
-
-
-def A016768():
- x = SR.var('x')
- return { 'ogf': [(-((81*x*(1+x)*(x**2+(10*x)+1))/(x-1)**5))] }
-
-
-
-def A016769():
- x = SR.var('x')
- return { 'ogf': [((243*x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A016775():
- x = SR.var('x')
- return { 'ogf': [((177147*(x+(2036*x**2)+(152637*x**3)+(2203488*x**4)+(9738114*x**5)+(15724248*x**6)+(9738114*x**7)+(2203488*x**8)+(152637*x**9)+(2036*x**10)+x**11))/(x-1)**12)] }
-
-
-
-def A016777():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x)**2)] }
-
-
-
-def A016789():
- x = SR.var('x')
- return { 'ogf': [((2+x)/(1-x)**2)] }
-
-
-
-def A016790():
- x = SR.var('x')
- return { 'ogf': [((4+(13*x)+x**2)/(1-x)**3)] }
-
-
-
-def A016791():
- x = SR.var('x')
- return { 'ogf': [((8+(93*x)+(60*x**2)+x**3)/((((1-(4*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A016798():
- x = SR.var('x')
- return { 'ogf': [(-((1/(x-1)**11)*(x**10+(1048565*x**9)+(270940968*x**8)+(6.950443776E9*x**7)+(4.3221615834E10*x**6)+(8.680583097E10*x**5)+(6.138779448E10*x**4)+(1.4663204952E10*x**3)+(966376269*x**2)+(9754361*x)+1024)))] }
-
-
-
-def A016803():
- x = SR.var('x')
- return { 'ogf': [((64*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A016808():
- x = SR.var('x')
- return { 'ogf': [((65536*(x+(247*x**2)+(4293*x**3)+(15619*x**4)+(15619*x**5)+(4293*x**6)+(247*x**7)+x**8))/(1-x)**9)] }
-
-
-
-def A016814():
- x = SR.var('x')
- return { 'ogf': [((1+(22*x)+(9*x**2))/(1-x)**3)] }
-
-
-
-def A016823():
- x = SR.var('x')
- return { 'ogf': [((1+(48828113*x)+(3.0795122175E10*x**2)+(1.418810334759E12*x**3)+(1.4826379326378E13*x**4)+(5.041766766417E13*x**5)+(6.402060675699E13*x**6)+(3.108883465035E13*x**7)+(5.356480404741E12*x**8)+(2.61595441397E11*x**9)+(1975200979*x**10)+(177147*x**11))/(x-1)**12)] }
-
-
-
-def A016825():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x))/(1-x)**2)] }
-
-
-
-def A016826():
- x = SR.var('x')
- return { 'ogf': [(-((4*(x**2+(6*x)+1))/(x-1)**3))] }
-
-
-
-def A016829():
- x = SR.var('x')
- return { 'ogf': [((32*(x+1)*((x*((x*((x*(x+236))+1446))+236))+1))/(x-1)**6)] }
-
-
-
-def A016832():
- x = SR.var('x')
- return { 'ogf': [(-((256*(1+(6552*x)+(331612*x**2)+(2485288*x**3)+(4675014*x**4)+(2485288*x**5)+(331612*x**6)+(6552*x**7)+x**8))/((-1)+x)**9))] }
-
-
-
-def A016838():
- x = SR.var('x')
- return { 'ogf': [((9+(22*x)+x**2)/(1-x)**3)] }
-
-
-
-def A016851():
- x = SR.var('x')
- return { 'ogf': [((125*(x+(4*x**2)+x**3))/(x-1)**4)] }
-
-
-
-def A016861():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-x)**2)] }
-
-
-
-def A016865():
- x = SR.var('x')
- return { 'ogf': [(((1024*x**5)+(52905*x**4)+(198890*x**3)+(114410*x**2)+(7770*x)+1)/(x-1)**6)] }
-
-
-
-def A016873():
- x = SR.var('x')
- return { 'ogf': [((2+(3*x))/(1-x)**2)] }
-
-
-
-def A016885():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/(1-x)**2)] }
-
-
-
-def A016897():
- x = SR.var('x')
- return { 'ogf': [((4+x)/(1-x)**2)] }
-
-
-
-def A016900():
- x = SR.var('x')
- return { 'ogf': [((256+(5281*x)+(8171*x**2)+(1291*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A016907():
- x = SR.var('x')
- return { 'ogf': [((x**11+(362797044*x**10)+(2.80958106005E11*x**9)+(1.419239060256E13*x**8)+(1.5792202291773E14*x**7)+(5.65509776420088E14*x**6)+(7.53319100251602E14*x**5)+(3.8416758065472E14*x**4)+(6.9965704049565E13*x**3)+(3.67326927842E12*x**2)+(3.1330727961E10*x)+4194304)/(x-1)**12)] }
-
-
-
-def A016911():
- x = SR.var('x')
- return { 'ogf': [((216*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A016913():
- x = SR.var('x')
- return { 'ogf': [((7776*x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A016915():
- x = SR.var('x')
- return { 'ogf': [((279936*(x+(120*x**2)+(1191*x**3)+(2416*x**4)+(1191*x**5)+(120*x**6)+x**7))/(x-1)**8)] }
-
-
-
-def A016921():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-x)**2)] }
-
-
-
-def A016922():
- x = SR.var('x')
- return { 'ogf': [((1+(46*x)+(25*x**2))/(1-x)**3)] }
-
-
-
-def A016933():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(2*x)))/(1-x)**2)] }
-
-
-
-def A016946():
- x = SR.var('x')
- return { 'ogf': [((9*(1+(6*x)+x**2))/(1-x)**3)] }
-
-
-
-def A016957():
- x = SR.var('x')
- return { 'ogf': [((2*(2+x))/((1-(2*x))+x**2))] }
-
-
-
-def A016959():
- x = SR.var('x')
- return { 'ogf': [((8*(x**3+(60*x**2)+(93*x)+8))/(1-x)**4)] }
-
-
-
-def A016969():
- x = SR.var('x')
- return { 'ogf': [((5+x)/(1-x)**2)] }
-
-
-
-def A016970():
- x = SR.var('x')
- return { 'ogf': [(((-25)-(46*x)-x**2)/(x-1)**3)] }
-
-
-
-def A016983():
- x = SR.var('x')
- return { 'ogf': [((343*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A016993():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-x)**2)] }
-
-
-
-def A016994():
- x = SR.var('x')
- return { 'ogf': [(((36*x**2)+(61*x)+1)/(1-x)**3)] }
-
-
-
-def A016995():
- x = SR.var('x')
- return { 'ogf': [(((216*x**3)+(1333*x**2)+(508*x)+1)/(1-x)**4)] }
-
-
-
-def A016999():
- x = SR.var('x')
- return { 'ogf': [((1+(2097144*x)+(154082187*x**2)+(1186203088*x**3)+(1961635263*x**4)+(785850072*x**5)+(60509029*x**6)+(279936*x**7))/((-1)+x)**8)] }
-
-
-
-def A017005():
- x = SR.var('x')
- return { 'ogf': [((2+(5*x))/(1-x)**2)] }
-
-
-
-def A017007():
- x = SR.var('x')
- return { 'ogf': [((8+(697*x)+(1228*x**2)+(125*x**3))/((-1)+x)**4)] }
-
-
-
-def A017018():
- x = SR.var('x')
- return { 'ogf': [(((-(16*x**2))-(73*x)-9)/(x-1)**3)] }
-
-
-
-def A017029():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+4)/(1-x)**2)] }
-
-
-
-def A017041():
- x = SR.var('x')
- return { 'ogf': [((5+(2*x))/(1-x)**2)] }
-
-
-
-def A017055():
- x = SR.var('x')
- return { 'ogf': [((216+(1333*x)+(508*x**2)+x**3)/(x-1)**4)] }
-
-
-
-def A017057():
- x = SR.var('x')
- return { 'ogf': [((x**5+(32762*x**4)+(562782*x**3)+(1088882*x**2)+(324637*x)+7776)/(x-1)**6)] }
-
-
-
-def A017067():
- x = SR.var('x')
- return { 'ogf': [((512*x*(1+(4*x)+x**2))/((-1)+x)**4)] }
-
-
-
-def A017077():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-x)**2)] }
-
-
-
-def A017101():
- x = SR.var('x')
- return { 'ogf': [((3+(5*x))/(1-x)**2)] }
-
-
-
-def A017116():
- x = SR.var('x')
- return { 'ogf': [(-((256*(1+(76*x)+(230*x**2)+(76*x**3)+x**4))/(x-1)**5))] }
-
-
-
-def A017117():
- x = SR.var('x')
- return { 'ogf': [((1024*(1+x)*(x**4+(236*x**3)+(1446*x**2)+(236*x)+1))/(x-1)**6)] }
-
-
-
-def A017118():
- x = SR.var('x')
- return { 'ogf': [(-((4096*(1+(722*x)+(10543*x**2)+(23548*x**3)+(10543*x**4)+(722*x**5)+x**6))/(x-1)**7))] }
-
-
-
-def A017119():
- x = SR.var('x')
- return { 'ogf': [((16384*(x+1)*(x**6+(2178*x**5)+(58479*x**4)+(201244*x**3)+(58479*x**2)+(2178*x)+1))/(x-1)**8)] }
-
-
-
-def A017120():
- x = SR.var('x')
- return { 'ogf': [(-((65536*(1+(6552*x)+(331612*x**2)+(2485288*x**3)+(4675014*x**4)+(2485288*x**5)+(331612*x**6)+(6552*x**7)+x**8))/(x-1)**9))] }
-
-
-
-def A017121():
- x = SR.var('x')
- return { 'ogf': [((262144*(1+x)*(x**8+(19672*x**7)+(1736668*x**6)+(19971304*x**5)+(49441990*x**4)+(19971304*x**3)+(1736668*x**2)+(19672*x)+1))/(x-1)**10)] }
-
-
-
-def A017122():
- x = SR.var('x')
- return { 'ogf': [(((-1048576)-(6.1905829888E10*x)-(9.558966665216E12*x**2)-(1.86962048712704E14*x**3)-(9.50977987346432E14*x**4)-(1.601272511725568E15*x**5)-(9.50977987346432E14*x**6)-(1.86962048712704E14*x**7)-(9.558966665216E12*x**8)-(6.1905829888E10*x**9)-(1048576*x**10))/(x-1)**11)] }
-
-
-
-def A017123():
- x = SR.var('x')
- return { 'ogf': [((4194304*(1+x)*(x**10+(177134*x**9)+(46525293*x**8)+(1356555432*x**7)+(9.480267666E9*x**6)+(1.9107752148E10*x**5)+(9.480267666E9*x**4)+(1356555432*x**3)+(46525293*x**2)+(177134*x)+1))/(x-1)**12)] }
-
-
-
-def A017126():
- x = SR.var('x')
- return { 'ogf': [(((-25)-(94*x)-(9*x**2))/(x-1)**3)] }
-
-
-
-def A017127():
- x = SR.var('x')
- return { 'ogf': [((125+(1697*x)+(1223*x**2)+(27*x**3))/(x-1)**4)] }
-
-
-
-def A017128():
- x = SR.var('x')
- return { 'ogf': [(((-625)-(25436*x)-(57926*x**2)-(14236*x**3)-(81*x**4))/(x-1)**5)] }
-
-
-
-def A017129():
- x = SR.var('x')
- return { 'ogf': [((3125+(352543*x)+(1903218*x**2)+(1513438*x**3)+(159593*x**4)+(243*x**5))/(x-1)**6)] }
-
-
-
-def A017130():
- x = SR.var('x')
- return { 'ogf': [(((-15625)-(4717434*x)-(52306583*x**2)-(95276588*x**3)-(34660263*x**4)-(1766458*x**5)-(729*x**6))/(x-1)**7)] }
-
-
-
-def A017131():
- x = SR.var('x')
- return { 'ogf': [((78125+(62123517*x)+(1301287905*x**2)+(4.593751457E9*x**3)+(3.854897607E9*x**4)+(738035607*x**5)+(19469675*x**6)+(2187*x**7))/(x-1)**8)] }
-
-
-
-def A017132():
- x = SR.var('x')
- return { 'ogf': [(((-390625)-(812215096*x)-(3.0495345372E10*x**2)-(1.89174172168E11*x**3)-(3.03412512454E11*x**4)-(1.37293837704E11*x**5)-(1.5054569308E10*x**6)-(214299832*x**7)-(6561*x**8))/(x-1)**9)] }
-
-
-
-def A017133():
- x = SR.var('x')
- return { 'ogf': [((1953125+(1.0584968123E10*x)+(6.88322943476E11*x**2)+(7.041313606844E12*x**3)+(1.9360752364022E13*x**4)+(1.679766063257E13*x**5)+(4.504825791332E12*x**6)+(2.99109106604E11*x**7)+(2.357750861E9*x**8)+(19683*x**9))/(x-1)**10)] }
-
-
-
-def A017134():
- x = SR.var('x')
- return { 'ogf': [(((-9765625)-(1.37751069974E11*x)-(1.5163974677237E13*x**2)-(2.4480914826356E14*x**3)-(1.075454831417858E15*x**4)-(1.588407080118596E15*x**5)-(8.26673889080546E14*x**6)-(1.39875951868808E14*x**7)-(5.845757834885E12*x**8)-(2.5936775062E10*x**9)-(59049*x**10))/(x-1)**11)] }
-
-
-
-def A017136():
- x = SR.var('x')
- return { 'ogf': [(((-244140625)-(2.3294911294356E13*x)-(7.052971447763138E15*x**2)-(2.60006206372777472E17*x**3)-(2.5504512922726129E18*x**4)-(8.8845917174347776E18*x**5)-(1.238475895540756E19*x**6)-(7.1063816544446484E18*x**7)-(1.59973122274705075E18*x**8)-(1.21566338610531136E17*x**9)-(2.172515391621186E15*x**10)-(3.138421467988E12*x**11)-(531441*x**12))/(x-1)**13)] }
-
-
-
-def A017137():
- x = SR.var('x')
- return { 'ogf': [((6+(2*x))/(1-x)**2)] }
-
-
-
-def A017139():
- x = SR.var('x')
- return { 'ogf': [((8*(27+(235*x)+(121*x**2)+x**3))/(x-1)**4)] }
-
-
-
-def A017141():
- x = SR.var('x')
- return { 'ogf': [((32*(x**5+(3119*x**4)+(40314*x**3)+(63854*x**2)+(15349*x)+243))/(x-1)**6)] }
-
-
-
-def A017162():
- x = SR.var('x')
- return { 'ogf': [(-((81*x*(1+x))/(x-1)**3))] }
-
-
-
-def A017163():
- x = SR.var('x')
- return { 'ogf': [((729*x*(1+(4*x)+x**2))/(x-1)**4)] }
-
-
-
-def A017164():
- x = SR.var('x')
- return { 'ogf': [(-((6561*x*(1+x)*(x**2+(10*x)+1))/(x-1)**5))] }
-
-
-
-def A017165():
- x = SR.var('x')
- return { 'ogf': [((59049*x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(x-1)**6)] }
-
-
-
-def A017173():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x)**2)] }
-
-
-
-def A017187():
- x = SR.var('x')
- return { 'ogf': [((8+(1299*x)+(2724*x**2)+(343*x**3))/((-1)+x)**4)] }
-
-
-
-def A017197():
- x = SR.var('x')
- return { 'ogf': [((3*(1+(2*x)))/(1-x)**2)] }
-
-
-
-def A017199():
- x = SR.var('x')
- return { 'ogf': [((27*(1+(60*x)+(93*x**2)+(8*x**3)))/(x-1)**4)] }
-
-
-
-def A017237():
- x = SR.var('x')
- return { 'ogf': [((243*(x**5+(1018*x**4)+(10678*x**3)+(14498*x**2)+(2933*x)+32))/(x-1)**6)] }
-
-
-
-def A017245():
- x = SR.var('x')
- return { 'ogf': [((7+(2*x))/(1-x)**2)] }
-
-
-
-def A017257():
- x = SR.var('x')
- return { 'ogf': [((8+x)/(1-x)**2)] }
-
-
-
-def A017281():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-x)**2)] }
-
-
-
-def A017282():
- x = SR.var('x')
- return { 'ogf': [((1+(118*x)+(81*x**2))/(1-x)**3)] }
-
-
-
-def A017295():
- x = SR.var('x')
- return { 'ogf': [((8*((64*x**3)+(473*x**2)+(212*x)+1))/(x-1)**4)] }
-
-
-
-def A017329():
- x = SR.var('x')
- return { 'ogf': [((5*(x+1))/(x-1)**2)] }
-
-
-
-def A017330():
- x = SR.var('x')
- return { 'ogf': [(-((25*(x**2+(6*x)+1))/(x-1)**3))] }
-
-
-
-def A017331():
- x = SR.var('x')
- return { 'ogf': [((125*(x+1)*(x**2+(22*x)+1))/(x-1)**4)] }
-
-
-
-def A017332():
- x = SR.var('x')
- return { 'ogf': [(-((625*(x**4+(76*x**3)+(230*x**2)+(76*x)+1))/(x-1)**5))] }
-
-
-
-def A017333():
- x = SR.var('x')
- return { 'ogf': [((3125*(x+1)*(x**4+(236*x**3)+(1446*x**2)+(236*x)+1))/(x-1)**6)] }
-
-
-
-def A017334():
- x = SR.var('x')
- return { 'ogf': [(-((15625*(x**6+(722*x**5)+(10543*x**4)+(23548*x**3)+(10543*x**2)+(722*x)+1))/(x-1)**7))] }
-
-
-
-def A017335():
- x = SR.var('x')
- return { 'ogf': [((78125*(x+1)*(x**6+(2178*x**5)+(58479*x**4)+(201244*x**3)+(58479*x**2)+(2178*x)+1))/(x-1)**8)] }
-
-
-
-def A017336():
- x = SR.var('x')
- return { 'ogf': [(-((390625*(x**8+(6552*x**7)+(331612*x**6)+(2485288*x**5)+(4675014*x**4)+(2485288*x**3)+(331612*x**2)+(6552*x)+1))/(x-1)**9))] }
-
-
-
-def A017337():
- x = SR.var('x')
- return { 'ogf': [((1953125*(x+1)*(x**8+(19672*x**7)+(1736668*x**6)+(19971304*x**5)+(49441990*x**4)+(19971304*x**3)+(1736668*x**2)+(19672*x)+1))/(x-1)**10)] }
-
-
-
-def A017338():
- x = SR.var('x')
- return { 'ogf': [(-((9765625*(x**10+(59038*x**9)+(9116141*x**8)+(178300904*x**7)+(906923282*x**6)+(1527092468*x**5)+(906923282*x**4)+(178300904*x**3)+(9116141*x**2)+(59038*x)+1))/(x-1)**11))] }
-
-
-
-def A017339():
- x = SR.var('x')
- return { 'ogf': [((48828125*(x+1)*(x**10+(177134*x**9)+(46525293*x**8)+(1356555432*x**7)+(9.480267666E9*x**6)+(1.9107752148E10*x**5)+(9.480267666E9*x**4)+(1356555432*x**3)+(46525293*x**2)+(177134*x)+1))/(x-1)**12)] }
-
-
-
-def A017340():
- x = SR.var('x')
- return { 'ogf': [(-((244140625*(x**12+(531428*x**11)+(237231970*x**10)+(1.0708911188E10*x**9)+(1.21383780207E11*x**8)+(4.77020564424E11*x**7)+(7.43288515164E11*x**6)+(4.77020564424E11*x**5)+(1.21383780207E11*x**4)+(1.0708911188E10*x**3)+(237231970*x**2)+(531428*x)+1))/(x-1)**13))] }
-
-
-
-def A017345():
- x = SR.var('x')
- return { 'ogf': [((32*((32*x**5)+(16615*x**4)+(148470*x**3)+(178330*x**2)+(31310*x)+243))/(x-1)**6)] }
-
-
-
-def A017352():
- x = SR.var('x')
- return { 'ogf': [((4096*(531441+(6.8712568003E10*x)+(2.2404773377311E13*x**2)+(8.59316242027205E14*x**3)+(8.67341372266737E15*x**4)+(3.094687662106208E16*x**5)+(4.4108689210889696E16*x**6)+(2.5884027384156616E16*x**7)+(5.972410776815445E15*x**8)+(4.67792550632655E14*x**9)+(8.736164034131E12*x**10)+(1.3841233953E10*x**11)+(4096*x**12)))/(1-x)**13)] }
-
-
-
-def A017353():
- x = SR.var('x')
- return { 'ogf': [((7+(3*x))/(x-1)**2)] }
-
-
-
-def A017365():
- x = SR.var('x')
- return { 'ogf': [((2*(4+x))/(x-1)**2)] }
-
-
-
-def A017367():
- x = SR.var('x')
- return { 'ogf': [((8*(64+(473*x)+(212*x**2)+x**3))/((-1)+x)**4)] }
-
-
-
-def A017372():
- x = SR.var('x')
- return { 'ogf': [((256*(65536+(42456897*x)+(1090727863*x**2)+(5.245638469E9*x**3)+(6.743985795E9*x**4)+(2.426203459E9*x**5)+(199242373*x**6)+(1679607*x**7)+x**8))/(1-x)**9)] }
-
-
-
-def A017414():
- x = SR.var('x')
- return { 'ogf': [((4+(157*x)+(81*x**2))/(1-x)**3)] }
-
-
-
-def A017442():
- x = SR.var('x')
- return { 'ogf': [(-(((x*((x*((x*((x*((x*((117649*x)+33188681))+359208382))+642375742))+229267417))+11361953))+4096)/(x-1)**7))] }
-
-
-
-def A017465():
- x = SR.var('x')
- return { 'ogf': [(((3125*x**5)+(1029826*x**4)+(8104326*x**3)+(8807866*x**2)+(1373201*x)+7776)/(x-1)**6)] }
-
-
-
-def A017473():
- x = SR.var('x')
- return { 'ogf': [((7+(4*x))/(1-x)**2)] }
-
-
-
-def A017475():
- x = SR.var('x')
- return { 'ogf': [((343+(4460*x)+(3119*x**2)+(64*x**3))/(1-x)**4)] }
-
-
-
-def A017485():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+8)/(x-1)**2)] }
-
-
-
-def A017491():
- x = SR.var('x')
- return { 'ogf': [((2097152+(877094523*x)+(1.4777746344E10*x**2)+(4.4705242061E10*x**3)+(3.2487494736E10*x**4)+(5.260268829E9*x**5)+(105396008*x**6)+(2187*x**7))/((-1)+x)**8)] }
-
-
-
-def A017501():
- x = SR.var('x')
- return { 'ogf': [(((32*x**5)+(371101*x**4)+(5735346*x**3)+(10314886*x**2)+(2845706*x)+59049)/(x-1)**6)] }
-
-
-
-def A017522():
- x = SR.var('x')
- return { 'ogf': [((144*x*(1+x))/(1-x)**3)] }
-
-
-
-def A017523():
- x = SR.var('x')
- return { 'ogf': [((1728*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A017534():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(166*x)-(121*x**2))/(x-1)**3)] }
-
-
-
-def A017546():
- x = SR.var('x')
- return { 'ogf': [((4*(1+(46*x)+(25*x**2)))/(1-x)**3)] }
-
-
-
-def A017547():
- x = SR.var('x')
- return { 'ogf': [((8+(2712*x)+(6648*x**2)+(1000*x**3))/(1-x)**4)] }
-
-
-
-def A017558():
- x = SR.var('x')
- return { 'ogf': [((9*(1+(22*x)+(9*x**2)))/(1-x)**3)] }
-
-
-
-def A017570():
- x = SR.var('x')
- return { 'ogf': [((16*(1+(13*x)+(4*x**2)))/(1-x)**3)] }
-
-
-
-def A017582():
- x = SR.var('x')
- return { 'ogf': [((25+(214*x)+(49*x**2))/(1-x)**3)] }
-
-
-
-def A017594():
- x = SR.var('x')
- return { 'ogf': [(((-36)-(216*x)-(36*x**2))/(x-1)**3)] }
-
-
-
-def A017597():
- x = SR.var('x')
- return { 'ogf': [((7776*(x+1)*(x**4+(236*x**3)+(1446*x**2)+(236*x)+1))/(x-1)**6)] }
-
-
-
-def A017606():
- x = SR.var('x')
- return { 'ogf': [(((-49)-(214*x)-(25*x**2))/(x-1)**3)] }
-
-
-
-def A017619():
- x = SR.var('x')
- return { 'ogf': [((64*(8+(93*x)+(60*x**2)+x**3))/((-1)+x)**4)] }
-
-
-
-def A017623():
- x = SR.var('x')
- return { 'ogf': [((16384*(x**7+(16376*x**6)+(692499*x**5)+(3870352*x**4)+(4890287*x**3)+(1475736*x**2)+(77101*x)+128))/(x-1)**8)] }
-
-
-
-def A017630():
- x = SR.var('x')
- return { 'ogf': [(-((9*(x**2+(22*x)+9))/(x-1)**3))] }
-
-
-
-def A017646():
- x = SR.var('x')
- return { 'ogf': [(-((64*(15625+(1662186*x)+(12064767*x**2)+(15728812*x**3)+(4003287*x**4)+(117642*x**5)+x**6))/(x-1)**7))] }
-
-
-
-def A017653():
- x = SR.var('x')
- return { 'ogf': [((11+x)/(1-x)**2)] }
-
-
-
-def A017817():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**3-x**4))] }
-
-
-
-def A017827():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**4-x**5))] }
-
-
-
-def A017899():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-x-x**5))] }
-
-
-
-def A017900():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-x-x**6))] }
-
-
-
-def A017901():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**7))] }
-
-
-
-def A017902():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**8))] }
-
-
-
-def A017903():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**9))] }
-
-
-
-def A017904():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**10))] }
-
-
-
-def A017905():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**11))] }
-
-
-
-def A017906():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**12))] }
-
-
-
-def A017907():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**13))] }
-
-
-
-def A017908():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**14))] }
-
-
-
-def A017909():
- x = SR.var('x')
- return { 'ogf': [((x-1)/((x-1)+x**15))] }
-
-
-
-def A017933():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))*(1-(6*x))*(1-(9*x))))] }
-
-
-
-def A018186():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(3*x**2))/(1-(3*x**2)-x**4))] }
-
-
-
-def A018210():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**2))/(1-x)**4/(1-x**2)**3)] }
-
-
-
-def A018213():
- x = SR.var('x')
- return { 'ogf': [(((5*x**4)+(10*x**2)+1)/((x-1)**10*(x+1)**5))] }
-
-
-
-def A018214():
- x = SR.var('x')
- return { 'ogf': [(-(((5*x**4)+(10*x**2)+1)/((x-1)**11*(x+1)**5)))] }
-
-
-
-def A018215():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(1-(4*x))**2)] }
-
-
-
-def A018217():
- x = SR.var('x')
- return { 'ogf': [((2/(1-(4*x))**2)-(2/(1-(4*x))**(3/2)))] }
-
-
-
-def A018226():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((1-(6*x**3))+(14*x**4))-(11*x**5))+(3*x**6)))/(1-x)**4)] }
-
-
-
-def A018227():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((1+(3*x))-(2*x**2)-x**3)+x**4))/((1-x)**4*(1+x)**2))] }
-
-
-
-def A018240():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((x**4+x**3+(2*x**2))-1))/((x+1)*((2*x)-1)*(x**2+1)*((2*x**2)-1))))] }
-
-
-
-def A018836():
- x = SR.var('x')
- return { 'ogf': [(((((1+(5*x)+(12*x**2))-(8*x**4))+(4*x**5))*(1+x))/(1-x)**3)] }
-
-
-
-def A018837():
- x = SR.var('x')
- return { 'ogf': [((x*((((3-x)+x**2)-x**3-(2*x**4))+(2*x**5)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A018838():
- x = SR.var('x')
- return { 'ogf': [((2*x*((x**5-x**4-x**2)+x+1))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A018839():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(((12*x**8)-(24*x**6)-(20*x**5))+(28*x**4)+(20*x**3)+(12*x**2)+(5*x)+1))/(x-1)**2)] }
-
-
-
-def A018903():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A018904():
- x = SR.var('x')
- return { 'ogf': [(-((x-1)/(((5*x**2)-(7*x))+1)))] }
-
-
-
-def A018910():
- x = SR.var('x')
- return { 'ogf': [(-(((-4)+(3*x)+(3*x**2))/(x-1)/((x**2+x)-1)))] }
-
-
-
-def A018913():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))+x**2))] }
-
-
-
-def A018916():
- x = SR.var('x')
- return { 'ogf': [((2-x**2)/((1-(4*x))+(2*x**3)))] }
-
-
-
-def A018917():
- x = SR.var('x')
- return { 'ogf': [(((3+(2*x))-x**3)/(1-x)/(1-x**2-x**3))] }
-
-
-
-def A018918():
- x = SR.var('x')
- return { 'ogf': [(-((((x**3-(2*x**2))+(3*x))-3)/((x-1)*(((x**3-x**2)+(2*x))-1))))] }
-
-
-
-def A018919():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-3)/((x**3-(3*x))+1)))] }
-
-
-
-def A018921():
- x = SR.var('x')
- return { 'ogf': [((4-x**2-(2*x**3))/((1-(2*x))+x**4))] }
-
-
-
-def A018923():
- x = SR.var('x')
- return { 'ogf': [(-((((8*x**5)+(4*x**4)+(2*x**3)+x**2)-16)/((x-1)*((x**5+x**4+x**3+x**2+x)-1))))] }
-
-
-
-def A019274():
- x = SR.var('x')
- return { 'ogf': [((2*x**3)/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A019298():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+x+1))/((x+1)*(x-1)**4)),
-((x*(1+x+x**2))/((1-x)**4*(1+x)))] }
-
-
-
-def A019425():
- x = SR.var('x')
- return { 'ogf': [((((x+x**2+(2*x**3))-x**4)+x**5)/(1-x**2)**2)] }
-
-
-
-def A019426():
- x = SR.var('x')
- return { 'ogf': [((x*(((2+x+(3*x**2))-x**3)+x**4))/(1-x**2)**2)] }
-
-
-
-def A019427():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-x**3)+(4*x**2)+x+3))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A019428():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-x**3)+(5*x**2)+x+4))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A019429():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-x**3)+(6*x**2)+x+5))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A019430():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-x**3)+(7*x**2)+x+6))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A019431():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-x**3)+(8*x**2)+x+7))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A019432():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-x**3)+(9*x**2)+x+8))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A019433():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-x**3)+(10*x**2)+x+9))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A019439():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+x)-1)/((x**6-x**5-(2*x**4)-(3*x**3)-(2*x))+1)))] }
-
-
-
-def A019449():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x**2)+x**3+x**4+(2*x**5)+x**7)-x**8)/(1-x)/(1-x**3)/(1-x**4)/(1-x**6))] }
-
-
-
-def A019475():
- x = SR.var('x')
- return { 'ogf': [((2-x**2)/((1-(5*x)-x**2)+(2*x**3)))] }
-
-
-
-def A019479():
- x = SR.var('x')
- return { 'ogf': [((((4-(4*x))+x**2)-(2*x**3))/((((1-(3*x))+(2*x**2))-x**3)+x**4))] }
-
-
-
-def A019484():
- x = SR.var('x')
- return { 'ogf': [((((7*x**3)+(7*x**2))-(7*x)-8)/((((-(6*x**4))-(5*x**3))+(7*x**2)+(6*x))-1))] }
-
-
-
-def A019489():
- x = SR.var('x')
- return { 'ogf': [(-((((x**3-x**2)+(2*x))-3)/((x-1)*((x**3+(2*x))-1))))] }
-
-
-
-def A019494():
- x = SR.var('x')
- return { 'ogf': [((((4-(2*x))+(2*x**2))-(3*x**3))/((((1-(3*x))+(2*x**2))-(2*x**3))+(2*x**4)))] }
-
-
-
-def A019496():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**3))+(3*x**2)+x)-4)/((((2*x**4)-(3*x**3))+(3*x))-1))] }
-
-
-
-def A019525():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((4*x**2)+x)-2))/((x-1)*(((3*x**2)+x)-1))))] }
-
-
-
-def A019526():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**4)+(3*x**3)+(2*x**2)+(3*x))-4))/((x-1)*((x**4+x**3+x**2+x)-1))))] }
-
-
-
-def A019527():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**4-(4*x**3))+x**2)-(4*x))+4))/((x-1)*((x**3+x)-1)))] }
-
-
-
-def A019528():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**10+(3*x**9)+x**8)-x**7-(9*x**6)-(14*x**5)-(15*x**4)-(7*x**3))+x**2+(5*x)+5))/(((x**9+x**8+(2*x**7)+x**6)-(2*x**4)-(2*x**3)-x**2)+1))] }
-
-
-
-def A019557():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(7*x**2))/(1-x)**2)] }
-
-
-
-def A019558():
- x = SR.var('x')
- return { 'ogf': [((1+(44*x)+(198*x**2)+(140*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A019560():
- x = SR.var('x')
- return { 'ogf': [((1+(28*x)+(70*x**2)+(28*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A019561():
- x = SR.var('x')
- return { 'ogf': [((1+(45*x)+(210*x**2)+(210*x**3)+(45*x**4)+x**5)/(1-x)**5)] }
-
-
-
-def A019562():
- x = SR.var('x')
- return { 'ogf': [((1+(66*x)+(495*x**2)+(924*x**3)+(495*x**4)+(66*x**5)+x**6)/(1-x)**6)] }
-
-
-
-def A019563():
- x = SR.var('x')
- return { 'ogf': [((1+(91*x)+(1001*x**2)+(3003*x**3)+(3003*x**4)+(1001*x**5)+(91*x**6)+x**7)/(1-x)**7)] }
-
-
-
-def A019564():
- x = SR.var('x')
- return { 'ogf': [((1+(120*x)+(1820*x**2)+(8008*x**3)+(12870*x**4)+(8008*x**5)+(1820*x**6)+(120*x**7)+x**8)/(1-x)**8)] }
-
-
-
-def A019579():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((9*x**6)-(35*x**5))+(41*x**4)+(5*x**3))-(45*x**2))+(35*x)+2))/(x-1)**5))] }
-
-
-
-def A019582():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((4*x**2)+(7*x)+1))/(x-1)**5))] }
-
-
-
-def A019583():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(18*x)+(33*x**2)+(8*x**3)))/(1-x)**6)] }
-
-
-
-def A019584():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(12*x)+(15*x**2)+(2*x**3)))/(1-x)**6)] }
-
-
-
-def A019590():
- x = SR.var('x')
- return { 'ogf': [(x+x**2)] }
-
-
-
-def A019752():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x))*(1-(11*x))*(1-(12*x))))] }
-
-
-
-def A019992():
- x = SR.var('x')
- return { 'ogf': [(((5+x)-x**2-x**4)/((1-(4*x)-x**2)+x**3+x**5))] }
-
-
-
-def A020514():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(2*x)))+(1/(1-(4*x)))+(1/(1-(8*x)))+(1/(1-(16*x))))] }
-
-
-
-def A020515():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(4*x)))-(1/(1-(2*x))))+(1/(1-x)))] }
-
-
-
-def A020516():
- x = SR.var('x')
- return { 'ogf': [((((((((-7)+(762*x))-(26670*x**2))+(377952*x**3))-(2267712*x**4))+(5462016*x**5))-(4161536*x**6))/((((((((-1)+(127*x))-(5334*x**2))+(94488*x**3))-(755904*x**4))+(2731008*x**5))-(4161536*x**6))+(2097152*x**7)))] }
-
-
-
-def A020517():
- x = SR.var('x')
- return { 'ogf': [(-((((584*x**2)-(146*x))+3)/((x-1)*((8*x)-1)*((64*x)-1))))] }
-
-
-
-def A020518():
- x = SR.var('x')
- return { 'ogf': [(-((((((704*x**4)-(544*x**3))+(174*x**2))-(20*x))+1)/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1))))] }
-
-
-
-def A020519():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((7.2022409665839104E16*x**10)-(9.5936100375199744E16*x**9))+(4.1035167933923328E16*x**8))-(7.266644321632256E15*x**7))+(5.8144142442496E14*x**6))-(2.1804053415936E13*x**5))+(3.88080675136E11*x**4))-(3.261182144E9*x**3))+(12564486*x**2))-(20470*x))+11)/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1)*((32*x)-1)*((64*x)-1)*((128*x)-1)*((256*x)-1)*((512*x)-1)*((1024*x)-1))))] }
-
-
-
-def A020520():
- x = SR.var('x')
- return { 'ogf': [(-((((52*x**2)-(8*x))+1)/((x-1)*((4*x)-1)*((16*x)-1))))] }
-
-
-
-def A020522():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((-1)+(2*x))*((-1)+(4*x))))] }
-
-
-
-def A020523():
- x = SR.var('x')
- return { 'ogf': [(-(((22*x)-1)/((x-1)*((4*x)-1)*((8*x)-1))))] }
-
-
-
-def A020524():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((40*x)+1))/(((2*x)-1)*((8*x)-1)*((16*x)-1))))] }
-
-
-
-def A020525():
- x = SR.var('x')
- return { 'ogf': [((((1444*x**2)-(50*x))+1)/((x-1)*((4*x)-1)*((16*x)-1)*((32*x)-1)))] }
-
-
-
-def A020526():
- x = SR.var('x')
- return { 'ogf': [((2*x*((15616*x**2)+(560*x)+1))/(((2*x)-1)*((8*x)-1)*((32*x)-1)*((64*x)-1)))] }
-
-
-
-def A020527():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(6*x))+(4*x**2))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A020528():
- x = SR.var('x')
- return { 'ogf': [(-((18*x)/(((8*x)-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A020531():
- x = SR.var('x')
- return { 'ogf': [(-((((116*x**2)-(76*x))+5)/((x-1)*((4*x)-1)*((16*x)-1))))] }
-
-
-
-def A020532():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((520*x**2)-(133*x))+4))/(((2*x)-1)*((8*x)-1)*((32*x)-1))))] }
-
-
-
-def A020533():
- x = SR.var('x')
- return { 'ogf': [(-(((((11584*x**3)-(9672*x**2))+(936*x))-13)/((x-1)*((4*x)-1)*((16*x)-1)*((64*x)-1))))] }
-
-
-
-def A020534():
- x = SR.var('x')
- return { 'ogf': [(-((3*((((75264*x**3)-(24592*x**2))+(1054*x))-7))/(((2*x)-1)*((8*x)-1)*((32*x)-1)*((128*x)-1))))] }
-
-
-
-def A020535():
- x = SR.var('x')
- return { 'ogf': [(-((((((4771840*x**4)-(4589056*x**3))+(550716*x**2))-(10609*x))+34)/((x-1)*((4*x)-1)*((16*x)-1)*((64*x)-1)*((256*x)-1))))] }
-
-
-
-def A020536():
- x = SR.var('x')
- return { 'ogf': [(-((((((191954944*x**4)-(74711552*x**3))+(3895584*x**2))-(35132*x))+55)/(((2*x)-1)*((8*x)-1)*((32*x)-1)*((128*x)-1)*((512*x)-1))))] }
-
-
-
-def A020537():
- x = SR.var('x')
- return { 'ogf': [(((16*x)+1)/(((2*x)-1)*((8*x)-1)))] }
-
-
-
-def A020538():
- x = SR.var('x')
- return { 'ogf': [(((32*x**2)-(76*x)-1)/((x-1)*((4*x)-1)*((16*x)-1)))] }
-
-
-
-def A020539():
- x = SR.var('x')
- return { 'ogf': [(-(((256*x**2)+(320*x)+1)/(((2*x)-1)*((8*x)-1)*((32*x)-1))))] }
-
-
-
-def A020540():
- x = SR.var('x')
- return { 'ogf': [((4*(1+(4*x)))/((1-(10*x))+(16*x**2)))] }
-
-
-
-def A020541():
- x = SR.var('x')
- return { 'ogf': [(((64*x**2)-(104*x)-5)/((x-1)*((4*x)-1)*((16*x)-1)))] }
-
-
-
-def A020542():
- x = SR.var('x')
- return { 'ogf': [(-((6*((88*x)+1))/(((2*x)-1)*((8*x)-1)*((32*x)-1))))] }
-
-
-
-def A020568():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(5*x))*(1-(10*x))*(1-(12*x))))] }
-
-
-
-def A020695():
- x = SR.var('x')
- return { 'ogf': [((2+x)/(1-x-x**2))] }
-
-
-
-def A020698():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-(5*x))+(2*x**2)))] }
-
-
-
-def A020701():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/(1-x-x**2))] }
-
-
-
-def A020706():
- x = SR.var('x')
- return { 'ogf': [((4-(2*x)-(3*x**2))/(1-x)/(1-x-x**2))] }
-
-
-
-def A020707():
- x = SR.var('x')
- return { 'ogf': [(4/(1-(2*x)))] }
-
-
-
-def A020711():
- x = SR.var('x')
- return { 'ogf': [(-(((((4*x**3)-x**2)+(3*x))-5)/((x-1)*((x**3+x)-1))))] }
-
-
-
-def A020714():
- x = SR.var('x')
- return { 'ogf': [(5/(1-(2*x)))] }
-
-
-
-def A020724():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(6*x))*(1-(9*x))*(1-(12*x))))] }
-
-
-
-def A020725():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-x**2)/(1-x)**2)] }
-
-
-
-def A020729():
- x = SR.var('x')
- return { 'ogf': [(2/(1-(5*x)))] }
-
-
-
-def A020735():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(3*x)))/((1-(2*x))+x**2))] }
-
-
-
-def A020737():
- x = SR.var('x')
- return { 'ogf': [(-(((6*x)-5)/((x-1)*((2*x)-1))))] }
-
-
-
-def A020745():
- x = SR.var('x')
- return { 'ogf': [((((3-x)+x**2)-(2*x**3))/(1-x)/(1-x-x**3))] }
-
-
-
-def A020806():
- x = SR.var('x')
- return { 'ogf': [((((1+(3*x))-(2*x**2))+(7*x**3))/((1-x)*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A020865():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((2-(13*x))+(34*x**2))-(28*x**3))+(8*x**4)))/((x-1)*((2*x)-1)*(((4*x**2)-(8*x))+1)*(((2*x**2)-(5*x))+1)))] }
-
-
-
-def A020866():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-41)-(60*x)-(3*x**2))+(14*x**3)))/((1+x)*(((2*x**3)-(3*x**2)-(6*x))+1))))] }
-
-
-
-def A020869():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((((((3*x**8)-(27*x**7))+(126*x**6))-(360*x**5))+(663*x**4))-(781*x**3))+(570*x**2))-(220*x))+34))/((1-x)**3*(((1-(5*x))+(3*x**2))-x**3)**2))] }
-
-
-
-def A020870():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((38-(251*x))+(532*x**2))-(479*x**3))+(192*x**4))-(28*x**5)))/((1-x)**2*((1-(5*x))+(2*x**2))**2))] }
-
-
-
-def A020871():
- x = SR.var('x')
- return { 'ogf': [(((((3-(14*x))+(26*x**2))-(14*x**3))+(3*x**4))/((1-x)*((1-(4*x))+x**2))**2)] }
-
-
-
-def A020873():
- x = SR.var('x')
- return { 'ogf': [((((2-(7*x))+(10*x**2))-(7*x**3))/(((2*x)-1)*(x-1)**3))] }
-
-
-
-def A020874():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((8*x**4)-(20*x**3))+(27*x**2))-(6*x)-3))/((x-1)**4*((2*x)-1)**2)))] }
-
-
-
-def A020875():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x**2+1)*(x**2+x+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A020876():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A020877():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((5+(7*x))-x**2-(2*x**3)))/((1+x)*((1-(3*x)-x**2)+x**3)))] }
-
-
-
-def A020878():
- x = SR.var('x')
- return { 'ogf': [(((2+x)-(4*x**2)-x**3)/((1+x)*(1-x)*(1-x-x**2)))] }
-
-
-
-def A020956():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x**2)+x**3))/((1-x-x**2)*(1+x)*(1-x)**2))] }
-
-
-
-def A020957():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**5+x**4)-(4*x**2))+3))/((1-x)*(1-x**2)*(1-x-x**2)))] }
-
-
-
-def A020989():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(4*x))*(1-x)))] }
-
-
-
-def A020992():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/(1-x-x**2-x**3))] }
-
-
-
-def A021004():
- x = SR.var('x')
- return { 'ogf': [(((4+(2*x)+x**2)-(2*x**3)-x**4-(2*x**5))/((1-(2*x)-x**2-x**3)+x**4+x**6))] }
-
-
-
-def A021006():
- x = SR.var('x')
- return { 'ogf': [((4+(3*x))/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A021017():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((3*x**2)-x)+7))/((x-1)*(x+1)*((x**2-x)+1))))] }
-
-
-
-def A021023():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**8+x**7+(2*x**6)+(4*x**5))-(2*x**4)-(3*x**3))+(4*x**2))-(3*x))+5))/((x-1)*(x+1)*((x**2-x)+1)*((x**6-x**3)+1))))] }
-
-
-
-def A021026():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(5*x)))/(1-x**2))] }
-
-
-
-def A021029():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(2*x))*(1-(3*x))*(1-(6*x))))] }
-
-
-
-def A021030():
- x = SR.var('x')
- return { 'ogf': [((x*(((3+(5*x))-(4*x**2))+(5*x**3)))/((1-x)*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A021031():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(7*x)))/(1-x**3))] }
-
-
-
-def A021121():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((7*x**2)-(3*x))+8))/((x-1)*(x**2+x+1)*((x**2-x)+1))))] }
-
-
-
-def A021499():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(1-x**2))] }
-
-
-
-def A021674():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(3*x))*(1-(8*x))*(1-(12*x))))] }
-
-
-
-def A021694():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(3*x))*(1-(9*x))*(1-(11*x))))] }
-
-
-
-def A021714():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(3*x))*(1-(10*x))*(1-(11*x))))] }
-
-
-
-def A021724():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(3*x))*(1-(10*x))*(1-(12*x))))] }
-
-
-
-def A021734():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(3*x))*(1-(11*x))*(1-(12*x))))] }
-
-
-
-def A021764():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(4*x))*(1-(5*x))*(1-(8*x))))] }
-
-
-
-def A021774():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(4*x))*(1-(5*x))*(1-(10*x))))] }
-
-
-
-def A021784():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(4*x))*(1-(5*x))*(1-(11*x))))] }
-
-
-
-def A021794():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(4*x))*(1-(5*x))*(1-(12*x))))] }
-
-
-
-def A021804():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(4*x))*(1-(6*x))*(1-(7*x))))] }
-
-
-
-def A021814():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(4*x))*(1-(6*x))*(1-(8*x))))] }
-
-
-
-def A021823():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((1-(2*x))+(2*x**2))-x**3))] }
-
-
-
-def A021913():
- x = SR.var('x')
- return { 'ogf': [((x**2+x**3)/(1-x**4)),
-(x**2/((1-x)*(1+x**2)))] }
-
-
-
-def A021994():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(4*x))*(1-(10*x))*(1-(12*x))))] }
-
-
-
-def A022003():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-x**3))] }
-
-
-
-def A022015():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*(2+x**2))/((-1)+(x*(2+(3*x))*(1+x**2)))))] }
-
-
-
-def A022026():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-(8*x))+(4*x**2)))] }
-
-
-
-def A022029():
- x = SR.var('x')
- return { 'ogf': [(((4+x)-x**2-x**4)/((1-(3*x)-x**2)+x**3+x**5))] }
-
-
-
-def A022037():
- x = SR.var('x')
- return { 'ogf': [(-(((x**6+x**5+x**4+x**3)-x-7)/(((x**7+x**6+x**5+x**4)-x**2-(7*x))+1)))] }
-
-
-
-def A022039():
- x = SR.var('x')
- return { 'ogf': [(-(((x**6+x**5+x**4+x**3)-x-8)/(((x**7+x**6+x**5+x**4)-x**2-(8*x))+1)))] }
-
-
-
-def A022040():
- x = SR.var('x')
- return { 'ogf': [((((16-(12*x))+(4*x**2))-(7*x**3))/((((1-(3*x))+(2*x**2))-x**3)+x**4))] }
-
-
-
-def A022041():
- x = SR.var('x')
- return { 'ogf': [((2-x**10-x**6-x**2)/((((((1+x**11)-x**10)+x**7)-x**6)+x**3)-x**2-(3*x)))] }
-
-
-
-def A022086():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(1-x-x**2))] }
-
-
-
-def A022087():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(1-x-x**2))] }
-
-
-
-def A022088():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(1-x-x**2))] }
-
-
-
-def A022089():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(1-x-x**2))] }
-
-
-
-def A022090():
- x = SR.var('x')
- return { 'ogf': [((7*x)/(1-x-x**2))] }
-
-
-
-def A022091():
- x = SR.var('x')
- return { 'ogf': [((8*x)/(1-x-x**2))] }
-
-
-
-def A022092():
- x = SR.var('x')
- return { 'ogf': [((9*x)/(1-x-x**2))] }
-
-
-
-def A022093():
- x = SR.var('x')
- return { 'ogf': [((10*x)/(1-x-x**2))] }
-
-
-
-def A022095():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-x-x**2))] }
-
-
-
-def A022096():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-x-x**2))] }
-
-
-
-def A022097():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-x-x**2))] }
-
-
-
-def A022098():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-x-x**2))] }
-
-
-
-def A022099():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x-x**2))] }
-
-
-
-def A022100():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-x-x**2))] }
-
-
-
-def A022101():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x))/(1-x-x**2))] }
-
-
-
-def A022102():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x))/(1-x-x**2))] }
-
-
-
-def A022103():
- x = SR.var('x')
- return { 'ogf': [((1+(12*x))/(1-x-x**2))] }
-
-
-
-def A022104():
- x = SR.var('x')
- return { 'ogf': [((1+(13*x))/(1-x-x**2))] }
-
-
-
-def A022105():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x))/(1-x-x**2))] }
-
-
-
-def A022106():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x))/(1-x-x**2))] }
-
-
-
-def A022107():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x))/(1-x-x**2))] }
-
-
-
-def A022108():
- x = SR.var('x')
- return { 'ogf': [((1+(17*x))/(1-x-x**2))] }
-
-
-
-def A022109():
- x = SR.var('x')
- return { 'ogf': [((1+(18*x))/(1-x-x**2))] }
-
-
-
-def A022110():
- x = SR.var('x')
- return { 'ogf': [((1+(19*x))/(1-x-x**2))] }
-
-
-
-def A022112():
- x = SR.var('x')
- return { 'ogf': [(((-2)-(4*x))/((-1)+x+x**2))] }
-
-
-
-def A022113():
- x = SR.var('x')
- return { 'ogf': [(-(((5*x)+2)/((x**2+x)-1)))] }
-
-
-
-def A022114():
- x = SR.var('x')
- return { 'ogf': [((2+(7*x))/(1-x-x**2))] }
-
-
-
-def A022115():
- x = SR.var('x')
- return { 'ogf': [((2+(9*x))/(1-x-x**2))] }
-
-
-
-def A022116():
- x = SR.var('x')
- return { 'ogf': [((2+(11*x))/(1-x-x**2))] }
-
-
-
-def A022117():
- x = SR.var('x')
- return { 'ogf': [((2+(13*x))/(1-x-x**2))] }
-
-
-
-def A022118():
- x = SR.var('x')
- return { 'ogf': [((2+(15*x))/(1-x-x**2))] }
-
-
-
-def A022119():
- x = SR.var('x')
- return { 'ogf': [((2+(17*x))/(1-x-x**2))] }
-
-
-
-def A022120():
- x = SR.var('x')
- return { 'ogf': [((3+(4*x))/(1-x-x**2))] }
-
-
-
-def A022121():
- x = SR.var('x')
- return { 'ogf': [((3+(5*x))/(1-x-x**2))] }
-
-
-
-def A022122():
- x = SR.var('x')
- return { 'ogf': [((3+(7*x))/(1-x-x**2))] }
-
-
-
-def A022123():
- x = SR.var('x')
- return { 'ogf': [((3+(8*x))/(1-x-x**2))] }
-
-
-
-def A022124():
- x = SR.var('x')
- return { 'ogf': [((3+(10*x))/(1-x-x**2))] }
-
-
-
-def A022125():
- x = SR.var('x')
- return { 'ogf': [((3+(11*x))/(1-x-x**2))] }
-
-
-
-def A022126():
- x = SR.var('x')
- return { 'ogf': [((3+(13*x))/(1-x-x**2))] }
-
-
-
-def A022127():
- x = SR.var('x')
- return { 'ogf': [((3+(14*x))/(1-x-x**2))] }
-
-
-
-def A022128():
- x = SR.var('x')
- return { 'ogf': [((3+(16*x))/(1-x-x**2))] }
-
-
-
-def A022129():
- x = SR.var('x')
- return { 'ogf': [((3+(17*x))/(1-x-x**2))] }
-
-
-
-def A022130():
- x = SR.var('x')
- return { 'ogf': [((4+(5*x))/(1-x-x**2))] }
-
-
-
-def A022131():
- x = SR.var('x')
- return { 'ogf': [((4+(7*x))/(1-x-x**2))] }
-
-
-
-def A022132():
- x = SR.var('x')
- return { 'ogf': [((4+(9*x))/(1-x-x**2))] }
-
-
-
-def A022133():
- x = SR.var('x')
- return { 'ogf': [((4+(11*x))/(1-x-x**2))] }
-
-
-
-def A022134():
- x = SR.var('x')
- return { 'ogf': [((4+(13*x))/(1-x-x**2))] }
-
-
-
-def A022135():
- x = SR.var('x')
- return { 'ogf': [((4+(15*x))/(1-x-x**2))] }
-
-
-
-def A022136():
- x = SR.var('x')
- return { 'ogf': [((5+(6*x))/(1-x-x**2))] }
-
-
-
-def A022137():
- x = SR.var('x')
- return { 'ogf': [((5+(7*x))/(1-x-x**2))] }
-
-
-
-def A022138():
- x = SR.var('x')
- return { 'ogf': [((5+(8*x))/(1-x-x**2))] }
-
-
-
-def A022139():
- x = SR.var('x')
- return { 'ogf': [((5+(9*x))/(1-x-x**2))] }
-
-
-
-def A022140():
- x = SR.var('x')
- return { 'ogf': [((5+(11*x))/(1-x-x**2))] }
-
-
-
-def A022142():
- x = SR.var('x')
- return { 'ogf': [((5+(13*x))/(1-x-x**2))] }
-
-
-
-def A022143():
- x = SR.var('x')
- return { 'ogf': [((5+(14*x))/(1-x-x**2))] }
-
-
-
-def A022145():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x)+(23*x**2)+x**3)/(1-x)**3)] }
-
-
-
-def A022146():
- x = SR.var('x')
- return { 'ogf': [((1+(28*x)+(102*x**2)+(60*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A022147():
- x = SR.var('x')
- return { 'ogf': [((1+(45*x)+(290*x**2)+(402*x**3)+(125*x**4)+x**5)/(1-x)**5)] }
-
-
-
-def A022148():
- x = SR.var('x')
- return { 'ogf': [((1+(66*x)+(655*x**2)+(1596*x**3)+(1167*x**4)+(226*x**5)+x**6)/(1-x)**6)] }
-
-
-
-def A022149():
- x = SR.var('x')
- return { 'ogf': [(-((x**7+(371*x**6)+(2793*x**5)+(6155*x**4)+(4795*x**3)+(1281*x**2)+(91*x)+1)/(x-1)**7))] }
-
-
-
-def A022150():
- x = SR.var('x')
- return { 'ogf': [((x**8+(568*x**7)+(5852*x**6)+(18888*x**5)+(23750*x**4)+(12040*x**3)+(2268*x**2)+(120*x)+1)/(x-1)**8)] }
-
-
-
-def A022151():
- x = SR.var('x')
- return { 'ogf': [(-((x**9+(825*x**8)+(11124*x**7)+(49380*x**6)+(91118*x**5)+(74574*x**4)+(26628*x**3)+(3732*x**2)+(153*x)+1)/(x-1)**9))] }
-
-
-
-def A022152():
- x = SR.var('x')
- return { 'ogf': [((x**10+(1150*x**9)+(19629*x**8)+(114600*x**7)+(291410*x**6)+(350196*x**5)+(201810*x**4)+(53544*x**3)+(5805*x**2)+(190*x)+1)/(x-1)**10)] }
-
-
-
-def A022153():
- x = SR.var('x')
- return { 'ogf': [(-((x**11+(1551*x**10)+(32659*x**9)+(242517*x**8)+(812570*x**7)+(1346534*x**6)+(1139446*x**5)+(487674*x**4)+(99957*x**3)+(8635*x**2)+(231*x)+1)/(x-1)**11))] }
-
-
-
-def A022154():
- x = SR.var('x')
- return { 'ogf': [((x**12+(2036*x**11)+(51810*x**10)+(476740*x**9)+(2035055*x**8)+(4446312*x**7)+(5189212*x**6)+(3260840*x**5)+(1077615*x**4)+(175780*x**3)+(12386*x**2)+(276*x)+1)/(x-1)**12)] }
-
-
-
-def A022163():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**3)-(5*x)-1)/(((3*x**4)-(6*x**2))+1)))] }
-
-
-
-def A022165():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((4*x**2)-(4*x)-1))/(((4*x**4)-(6*x**2))+1)))] }
-
-
-
-def A022220():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(6*x))*(1-(36*x))))] }
-
-
-
-def A022231():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(7*x))*(1-(49*x))))] }
-
-
-
-def A022232():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(7*x))*(1-(49*x))*(1-(343*x))))] }
-
-
-
-def A022242():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(8*x))*(1-(64*x))))] }
-
-
-
-def A022253():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(9*x))*(1-(81*x))))] }
-
-
-
-def A022266():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(5*x)))/(1-x)**3)] }
-
-
-
-def A022267():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(4*x)))/(1-x)**3)] }
-
-
-
-def A022268():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(6*x)))/(1-x)**3)] }
-
-
-
-def A022269():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(5*x)))/(1-x)**3)] }
-
-
-
-def A022270():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(7*x)))/(1-x)**3)] }
-
-
-
-def A022271():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(6*x)))/(1-x)**3)] }
-
-
-
-def A022272():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(8*x)))/(1-x)**3)] }
-
-
-
-def A022273():
- x = SR.var('x')
- return { 'ogf': [((x*(8+(7*x)))/(1-x)**3)] }
-
-
-
-def A022274():
- x = SR.var('x')
- return { 'ogf': [((x*(8+(9*x)))/(1-x)**3)] }
-
-
-
-def A022275():
- x = SR.var('x')
- return { 'ogf': [((x*(9+(8*x)))/(1-x)**3)] }
-
-
-
-def A022276():
- x = SR.var('x')
- return { 'ogf': [((x*(9+(10*x)))/(1-x)**3)] }
-
-
-
-def A022277():
- x = SR.var('x')
- return { 'ogf': [((x*(10+(9*x)))/(1-x)**3)] }
-
-
-
-def A022280():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(12*x)))/(1-x)**3)] }
-
-
-
-def A022285():
- x = SR.var('x')
- return { 'ogf': [(((-(13*x**2))-(14*x))/(x-1)**3)] }
-
-
-
-def A022309():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-4)+(3*x)))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A022310():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-5)+(4*x)))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A022311():
- x = SR.var('x')
- return { 'ogf': [(((6*x)-(5*x**2))/((1-(2*x))+x**3))] }
-
-
-
-def A022312():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-7)+(6*x)))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A022313():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-8)+(7*x)))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A022314():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-9)+(8*x)))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A022315():
- x = SR.var('x')
- return { 'ogf': [((-(x*((-10)+(9*x))))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022316():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-11)+(10*x)))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A022317():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-12)+(11*x)))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A022319():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-(3*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022320():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-(4*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022321():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x))-(5*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022322():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x))-(6*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022323():
- x = SR.var('x')
- return { 'ogf': [(((1+(7*x))-(7*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022324():
- x = SR.var('x')
- return { 'ogf': [(((1+(8*x))-(8*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022325():
- x = SR.var('x')
- return { 'ogf': [(((1+(9*x))-(9*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022326():
- x = SR.var('x')
- return { 'ogf': [(((1+(10*x))-(10*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022345():
- x = SR.var('x')
- return { 'ogf': [((11*x)/(1-x-x**2))] }
-
-
-
-def A022346():
- x = SR.var('x')
- return { 'ogf': [((12*x)/(1-x-x**2))] }
-
-
-
-def A022347():
- x = SR.var('x')
- return { 'ogf': [((13*x)/(1-x-x**2))] }
-
-
-
-def A022348():
- x = SR.var('x')
- return { 'ogf': [((14*x)/(1-x-x**2))] }
-
-
-
-def A022349():
- x = SR.var('x')
- return { 'ogf': [((15*x)/(1-x-x**2))] }
-
-
-
-def A022350():
- x = SR.var('x')
- return { 'ogf': [((16*x)/(1-x-x**2))] }
-
-
-
-def A022351():
- x = SR.var('x')
- return { 'ogf': [((17*x)/(1-x-x**2))] }
-
-
-
-def A022352():
- x = SR.var('x')
- return { 'ogf': [((18*x)/(1-x-x**2))] }
-
-
-
-def A022353():
- x = SR.var('x')
- return { 'ogf': [((19*x)/(1-x-x**2))] }
-
-
-
-def A022354():
- x = SR.var('x')
- return { 'ogf': [((20*x)/(1-x-x**2))] }
-
-
-
-def A022355():
- x = SR.var('x')
- return { 'ogf': [((21*x)/(1-x-x**2))] }
-
-
-
-def A022356():
- x = SR.var('x')
- return { 'ogf': [((22*x)/(1-x-x**2))] }
-
-
-
-def A022357():
- x = SR.var('x')
- return { 'ogf': [((23*x)/(1-x-x**2))] }
-
-
-
-def A022358():
- x = SR.var('x')
- return { 'ogf': [((24*x)/(1-x-x**2))] }
-
-
-
-def A022359():
- x = SR.var('x')
- return { 'ogf': [((25*x)/(1-x-x**2))] }
-
-
-
-def A022360():
- x = SR.var('x')
- return { 'ogf': [((26*x)/(1-x-x**2))] }
-
-
-
-def A022361():
- x = SR.var('x')
- return { 'ogf': [((27*x)/(1-x-x**2))] }
-
-
-
-def A022362():
- x = SR.var('x')
- return { 'ogf': [((28*x)/(1-x-x**2))] }
-
-
-
-def A022363():
- x = SR.var('x')
- return { 'ogf': [((29*x)/(1-x-x**2))] }
-
-
-
-def A022364():
- x = SR.var('x')
- return { 'ogf': [((30*x)/(1-x-x**2))] }
-
-
-
-def A022365():
- x = SR.var('x')
- return { 'ogf': [((31*x)/(1-x-x**2))] }
-
-
-
-def A022366():
- x = SR.var('x')
- return { 'ogf': [((32*x)/(1-x-x**2))] }
-
-
-
-def A022367():
- x = SR.var('x')
- return { 'ogf': [(((-2)-(8*x))/((-1)+x+x**2))] }
-
-
-
-def A022368():
- x = SR.var('x')
- return { 'ogf': [((2+(10*x))/(1-x-x**2))] }
-
-
-
-def A022369():
- x = SR.var('x')
- return { 'ogf': [((2+(12*x))/(1-x-x**2))] }
-
-
-
-def A022370():
- x = SR.var('x')
- return { 'ogf': [((2+(14*x))/(1-x-x**2))] }
-
-
-
-def A022371():
- x = SR.var('x')
- return { 'ogf': [((2+(16*x))/(1-x-x**2))] }
-
-
-
-def A022372():
- x = SR.var('x')
- return { 'ogf': [((2+(18*x))/(1-x-x**2))] }
-
-
-
-def A022373():
- x = SR.var('x')
- return { 'ogf': [((2+(20*x))/(1-x-x**2))] }
-
-
-
-def A022374():
- x = SR.var('x')
- return { 'ogf': [((2+(22*x))/(1-x-x**2))] }
-
-
-
-def A022375():
- x = SR.var('x')
- return { 'ogf': [((2+(24*x))/(1-x-x**2))] }
-
-
-
-def A022376():
- x = SR.var('x')
- return { 'ogf': [((2+(26*x))/(1-x-x**2))] }
-
-
-
-def A022377():
- x = SR.var('x')
- return { 'ogf': [((2+(28*x))/(1-x-x**2))] }
-
-
-
-def A022378():
- x = SR.var('x')
- return { 'ogf': [((2+(30*x))/(1-x-x**2))] }
-
-
-
-def A022379():
- x = SR.var('x')
- return { 'ogf': [((3+(6*x))/(1-x-x**2))] }
-
-
-
-def A022380():
- x = SR.var('x')
- return { 'ogf': [((3+(9*x))/(1-x-x**2))] }
-
-
-
-def A022381():
- x = SR.var('x')
- return { 'ogf': [((3+(12*x))/(1-x-x**2))] }
-
-
-
-def A022382():
- x = SR.var('x')
- return { 'ogf': [((4+(6*x))/(1-x-x**2))] }
-
-
-
-def A022383():
- x = SR.var('x')
- return { 'ogf': [((4+(10*x))/(1-x-x**2))] }
-
-
-
-def A022384():
- x = SR.var('x')
- return { 'ogf': [((4+(14*x))/(1-x-x**2))] }
-
-
-
-def A022385():
- x = SR.var('x')
- return { 'ogf': [((4+(18*x))/(1-x-x**2))] }
-
-
-
-def A022386():
- x = SR.var('x')
- return { 'ogf': [((4+(22*x))/(1-x-x**2))] }
-
-
-
-def A022387():
- x = SR.var('x')
- return { 'ogf': [((4+(26*x))/(1-x-x**2))] }
-
-
-
-def A022388():
- x = SR.var('x')
- return { 'ogf': [((6+(7*x))/(1-x-x**2))] }
-
-
-
-def A022389():
- x = SR.var('x')
- return { 'ogf': [((7+(8*x))/(1-x-x**2))] }
-
-
-
-def A022390():
- x = SR.var('x')
- return { 'ogf': [((8+(9*x))/(1-x-x**2))] }
-
-
-
-def A022391():
- x = SR.var('x')
- return { 'ogf': [((1+(20*x))/(1-x-x**2))] }
-
-
-
-def A022392():
- x = SR.var('x')
- return { 'ogf': [((1+(21*x))/(1-x-x**2))] }
-
-
-
-def A022393():
- x = SR.var('x')
- return { 'ogf': [((1+(22*x))/(1-x-x**2))] }
-
-
-
-def A022394():
- x = SR.var('x')
- return { 'ogf': [((1+(23*x))/(1-x-x**2))] }
-
-
-
-def A022395():
- x = SR.var('x')
- return { 'ogf': [((1+(24*x))/(1-x-x**2))] }
-
-
-
-def A022396():
- x = SR.var('x')
- return { 'ogf': [((1+(25*x))/(1-x-x**2))] }
-
-
-
-def A022397():
- x = SR.var('x')
- return { 'ogf': [((1+(26*x))/(1-x-x**2))] }
-
-
-
-def A022398():
- x = SR.var('x')
- return { 'ogf': [((1+(27*x))/(1-x-x**2))] }
-
-
-
-def A022399():
- x = SR.var('x')
- return { 'ogf': [((1+(28*x))/(1-x-x**2))] }
-
-
-
-def A022400():
- x = SR.var('x')
- return { 'ogf': [((1+(29*x))/(1-x-x**2))] }
-
-
-
-def A022401():
- x = SR.var('x')
- return { 'ogf': [((1+(30*x))/(1-x-x**2))] }
-
-
-
-def A022402():
- x = SR.var('x')
- return { 'ogf': [((1+(31*x))/(1-x-x**2))] }
-
-
-
-def A022403():
- x = SR.var('x')
- return { 'ogf': [(((3-(3*x))+x**2)/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022408():
- x = SR.var('x')
- return { 'ogf': [(((3+(3*x))-(5*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022409():
- x = SR.var('x')
- return { 'ogf': [(((3+(4*x))-(6*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022410():
- x = SR.var('x')
- return { 'ogf': [(((3+(5*x))-(7*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022411():
- x = SR.var('x')
- return { 'ogf': [(((3+(6*x))-(8*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A022521():
- x = SR.var('x')
- return { 'ogf': [(((-1)-x**4-(26*x**3)-(66*x**2)-(26*x))/(x-1)**5)] }
-
-
-
-def A022522():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**4+(56*x**3)+(246*x**2)+(56*x)+1))/(x-1)**6)] }
-
-
-
-def A022523():
- x = SR.var('x')
- return { 'ogf': [(-((x**6+(120*x**5)+(1191*x**4)+(2416*x**3)+(1191*x**2)+(120*x)+1)/(x-1)**7))] }
-
-
-
-def A022524():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**6+(246*x**5)+(4047*x**4)+(11572*x**3)+(4047*x**2)+(246*x)+1))/(x-1)**8)] }
-
-
-
-def A022525():
- x = SR.var('x')
- return { 'ogf': [(-((x**8+(502*x**7)+(14608*x**6)+(88234*x**5)+(156190*x**4)+(88234*x**3)+(14608*x**2)+(502*x)+1)/(x-1)**9))] }
-
-
-
-def A022526():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**8+(1012*x**7)+(46828*x**6)+(408364*x**5)+(901990*x**4)+(408364*x**3)+(46828*x**2)+(1012*x)+1))/(x-1)**10)] }
-
-
-
-def A022527():
- x = SR.var('x')
- return { 'ogf': [(-((x**10+(2036*x**9)+(152637*x**8)+(2203488*x**7)+(9738114*x**6)+(15724248*x**5)+(9738114*x**4)+(2203488*x**3)+(152637*x**2)+(2036*x)+1)/(x-1)**11))] }
-
-
-
-def A022528():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**10+(4082*x**9)+(474189*x**8)+(9713496*x**7)+(56604978*x**6)+(105907308*x**5)+(56604978*x**4)+(9713496*x**3)+(474189*x**2)+(4082*x)+1))/(x-1)**12)] }
-
-
-
-def A022529():
- x = SR.var('x')
- return { 'ogf': [(-((x**12+(8178*x**11)+(1479726*x**10)+(45533450*x**9)+(423281535*x**8)+(1505621508*x**7)+(2.275172004E9*x**6)+(1505621508*x**5)+(423281535*x**4)+(45533450*x**3)+(1479726*x**2)+(8178*x)+1)/(x-1)**13))] }
-
-
-
-def A022558():
- x = SR.var('x')
- return { 'ogf': [((32*x)/((1+(20*x))-(8*x**2)-(1-(8*x))**(3/2)))] }
-
-
-
-def A022815():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x**2))+(2*x)))/(1-x)**5)] }
-
-
-
-def A022816():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(5*x))-(7*x**2))+(2*x**3)))/(x-1)**6)] }
-
-
-
-def A022817():
- x = SR.var('x')
- return { 'ogf': [(((((x**5-(4*x**4))+x**3+(10*x**2))-(8*x)-1)*x)/(x-1)**7)] }
-
-
-
-def A022958():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/(1-x)**2)] }
-
-
-
-def A022997():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**6+(5*x**4)+(20*x**3)+(75*x**2)+(28*x)+15))/(x-1)**4/(x+1)**4)] }
-
-
-
-def A022998():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(4*x)+1))/(1-x**2)**2)] }
-
-
-
-def A023000():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(7*x))))] }
-
-
-
-def A023001():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))*(1-x)))] }
-
-
-
-def A023002():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(1012*x)+(46828*x**2)+(408364*x**3)+(901990*x**4)+(408364*x**5)+(46828*x**6)+(1012*x**7)+x**8))/(1-x)**12)] }
-
-
-
-def A023038():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+x**2))] }
-
-
-
-def A023039():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+x**2))] }
-
-
-
-def A023054():
- x = SR.var('x')
- return { 'ogf': [((1-x**5)/((1-x)*(1-x**2)**2*(1-x**3)))] }
-
-
-
-def A023105():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2)-x**3)/((1-x)*(1+x)*(1-(2*x))))] }
-
-
-
-def A023111():
- x = SR.var('x')
- return { 'ogf': [(-((36*x**2*(x+1))/((x-1)*((x**2-(1442*x))+1))))] }
-
-
-
-def A023112():
- x = SR.var('x')
- return { 'ogf': [(-((144*x**2*(x+1))/((x-1)*((x**2-(1442*x))+1))))] }
-
-
-
-def A023113():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(24*x**3)+(382*x**2)+(24*x)+1))/((x-1)*((x**2-(38*x))+1)*(x**2+(38*x)+1))))] }
-
-
-
-def A023114():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*(x+1)*(x**4+(2*x**3)+(75*x**2)+(2*x)+1))/((x-1)*((x**6-(1442*x**3))+1))))] }
-
-
-
-def A023426():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-x)**2-(4*x**4))))/(2*x**4))] }
-
-
-
-def A023431():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-x)**2-(4*x**3))))/(2*x**3))] }
-
-
-
-def A023432():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+x**3)-sqrt(((((1-(2*x)-(2*x**3))+x**2)-(2*x**4))+x**6)))/(2*x**3))] }
-
-
-
-def A023434():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-x**2-x**3)))] }
-
-
-
-def A023435():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*(1+x)*((x**3+x)-1)))] }
-
-
-
-def A023436():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-x**2)+x**6))] }
-
-
-
-def A023437():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*(1+x)*((x**5+x**3+x)-1)))] }
-
-
-
-def A023438():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((x**7+x**6+x**5+x**4+x**3+x**2)-1)))] }
-
-
-
-def A023439():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*(1+x)*((x**7+x**5+x**3+x)-1)))] }
-
-
-
-def A023440():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2)-1)))] }
-
-
-
-def A023441():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*(1+x)*((x**9+x**7+x**5+x**3+x)-1)))] }
-
-
-
-def A023442():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2)-1)))] }
-
-
-
-def A023443():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x))/(x-1)**2)] }
-
-
-
-def A023444():
- x = SR.var('x')
- return { 'ogf': [(-((2-(3*x))/(1-x)**2))] }
-
-
-
-def A023445():
- x = SR.var('x')
- return { 'ogf': [(((-3)+(4*x))/(1-x)**2)] }
-
-
-
-def A023446():
- x = SR.var('x')
- return { 'ogf': [(-((4-(5*x))/(1-x)**2))] }
-
-
-
-def A023447():
- x = SR.var('x')
- return { 'ogf': [(((-5)+(6*x))/(1-x)**2)] }
-
-
-
-def A023448():
- x = SR.var('x')
- return { 'ogf': [(((-6)+(7*x))/(1-x)**2)] }
-
-
-
-def A023449():
- x = SR.var('x')
- return { 'ogf': [(((-7)+(8*x))/(1-x)**2)] }
-
-
-
-def A023450():
- x = SR.var('x')
- return { 'ogf': [(((-8)+(9*x))/(1-x)**2)] }
-
-
-
-def A023451():
- x = SR.var('x')
- return { 'ogf': [(-((9-(10*x))/(1-x)**2))] }
-
-
-
-def A023452():
- x = SR.var('x')
- return { 'ogf': [(((-10)+(11*x))/(1-x)**2)] }
-
-
-
-def A023476():
- x = SR.var('x')
- return { 'ogf': [(((-34)+(35*x))/(1-x)**2)] }
-
-
-
-def A023477():
- x = SR.var('x')
- return { 'ogf': [(((-35)+(36*x))/(1-x)**2)] }
-
-
-
-def A023478():
- x = SR.var('x')
- return { 'ogf': [(((-36)+(37*x))/(1-x)**2)] }
-
-
-
-def A023479():
- x = SR.var('x')
- return { 'ogf': [(((-37)+(38*x))/(1-x)**2)] }
-
-
-
-def A023480():
- x = SR.var('x')
- return { 'ogf': [(((-38)+(39*x))/(1-x)**2)] }
-
-
-
-def A023481():
- x = SR.var('x')
- return { 'ogf': [(((-39)+(40*x))/(1-x)**2)] }
-
-
-
-def A023482():
- x = SR.var('x')
- return { 'ogf': [(((-40)+(41*x))/(1-x)**2)] }
-
-
-
-def A023545():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x)*(3-(2*x)))/(1-x)**4)] }
-
-
-
-def A023548():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A023549():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x)*(1+(2*x)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A023551():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(2*x))**2)/(1-x)**4)] }
-
-
-
-def A023552():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(2*x)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A023553():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(4*x))-(4*x**2)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A023554():
- x = SR.var('x')
- return { 'ogf': [((x*((3+x)-(2*x**2)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A023619():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**2)))/(1-x-x**2)**2)] }
-
-
-
-def A023620():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((2*x)+1))/((x-1)**2*((x**2+x)-1))))] }
-
-
-
-def A023856():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A023857():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A023861():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)-(3*x**5))+x**4+(2*x**3))-(4*x**2)-(2*x)))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A023864():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-x**5-(2*x**2)-x))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A023865():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(5*x**2)))/((1+x)**3*(1-x)**4))] }
-
-
-
-def A024012():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(4*x**2)+x**3)/((1-(2*x))*(1-x)**3))] }
-
-
-
-def A024013():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(3*x**4)-(3*x**3)-(4*x**2))+(5*x))/(((-1)+(2*x))*(x-1)**4))] }
-
-
-
-def A024014():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+x**2+x**3+(26*x**4)+x**5)/((1-(2*x))*(1-x)**5))] }
-
-
-
-def A024016():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x)-(34*x**2)-(223*x**3))+(337*x**4)+(526*x**5)+(120*x**6)+x**7)/((1-(2*x))*(1-x)**7))] }
-
-
-
-def A024017():
- x = SR.var('x')
- return { 'ogf': [(((1-(9*x)-(90*x**2)-(1007*x**3))+(36*x**4)+(3585*x**5)+(2290*x**6)+(231*x**7)+(3*x**8))/((1-(2*x))*(1-x)**8))] }
-
-
-
-def A024018():
- x = SR.var('x')
- return { 'ogf': [(((1-(10*x)-(209*x**2)-(3883*x**3)-(6907*x**4))+(15493*x**5)+(27029*x**6)+(8303*x**7)+(502*x**8)+x**9)/((1-(2*x))*(1-x)**9))] }
-
-
-
-def A024019():
- x = SR.var('x')
- return { 'ogf': [(((1-(11*x)-(455*x**2)-(13724*x**3)-(58808*x**4))+(20026*x**5)+(224356*x**6)+(161740*x**7)+(28759*x**8)+(993*x**9)+(3*x**10))/((1-(2*x))*(1-x)**10))] }
-
-
-
-def A024021():
- x = SR.var('x')
- return { 'ogf': [(-(((((3*x**12)+(4059*x**11)+(303304*x**10)+(4254119*x**9)+(17273235*x**8)+(21709590*x**7)+(3752904*x**6))-(5331930*x**5)-(1897719*x**4)-(148785*x**3)-(1968*x**2)-(13*x))+1)/((x-1)**12*((2*x)-1))))] }
-
-
-
-def A024023():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((-1)+x)/((-1)+(3*x)))] }
-
-
-
-def A024024():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(4*x**2))/((1-(3*x))*(1-x)**2))] }
-
-
-
-def A024025():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(5*x**2)+(2*x**3))/((1-(3*x))*(1-x)**3))] }
-
-
-
-def A024026():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(5*x))-(5*x**2)-(7*x**3)-(4*x**4))/(((3*x)-1)*(x-1)**4))] }
-
-
-
-def A024036():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((-1)+x)/((-1)+(4*x)))] }
-
-
-
-def A024037():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(5*x**2))/((1-(4*x))*(1-x)**2))] }
-
-
-
-def A024038():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(6*x**2)+(3*x**3))/((1-x)**3*(1-(4*x))))] }
-
-
-
-def A024039():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(5*x**4)-(11*x**3)-(6*x**2))+(5*x))/(((4*x)-1)*(x-1)**4))] }
-
-
-
-def A024040():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(3*x**2)+(23*x**3)+(48*x**4)+(3*x**5))/((1-(4*x))*(1-x)**5))] }
-
-
-
-def A024049():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))-(1/(1-x)))] }
-
-
-
-def A024050():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(6*x**2))/((1-(5*x))*(1-x)**2))] }
-
-
-
-def A024052():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x**4)+(15*x**3)+(7*x**2))-(5*x))/((1-(5*x))*(1-x)**4))] }
-
-
-
-def A024054():
- x = SR.var('x')
- return { 'ogf': [(((((-(6*x**6))-(123*x**5)-(319*x**4)-(44*x**3))+(6*x**2)+(7*x))-1)/((x-1)**6*((5*x)-1)))] }
-
-
-
-def A024062():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(6*x)))-(1/(1-x)))] }
-
-
-
-def A024063():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(7*x**2))/((1-(6*x))*(1-x)**2))] }
-
-
-
-def A024064():
- x = SR.var('x')
- return { 'ogf': [(((((5*x**3)+(8*x**2))-(4*x))+1)/((x-1)**3*((6*x)-1)))] }
-
-
-
-def A024065():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(7*x**4)-(19*x**3)-(8*x**2))+(5*x))/(((6*x)-1)*(x-1)**4))] }
-
-
-
-def A024075():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(7*x)))-(1/(1-x)))] }
-
-
-
-def A024076():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(8*x**2))/((1-(7*x))*(1-x)**2))] }
-
-
-
-def A024077():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(9*x**2)+(6*x**3))/((1-(7*x))*(1-x)**3))] }
-
-
-
-def A024082():
- x = SR.var('x')
- return { 'ogf': [(((1-(9*x)-(85*x**2)-(407*x**3))+(5991*x**4)+(15665*x**5)+(8245*x**6)+(831*x**7)+(8*x**8))/((1-(7*x))*(1-x)**8))] }
-
-
-
-def A024088():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(8*x)))-(1/(1-x)))] }
-
-
-
-def A024089():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(9*x**2))/((1-(8*x))*(1-x)**2))] }
-
-
-
-def A024090():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(10*x**2)+(7*x**3))/((1-(8*x))*(1-x)**3))] }
-
-
-
-def A024094():
- x = SR.var('x')
- return { 'ogf': [(((((7*x**7)+(462*x**6)+(2338*x**5)+(2149*x**4)+(119*x**3))-(28*x**2)-(8*x))+1)/((x-1)**7*((8*x)-1)))] }
-
-
-
-def A024096():
- x = SR.var('x')
- return { 'ogf': [(((1-(10*x)-(203*x**2)-(2401*x**3))+(18851*x**4)+(109207*x**5)+(120743*x**6)+(34061*x**7)+(1984*x**8)+(7*x**9))/((1-(8*x))*(1-x)**9))] }
-
-
-
-def A024101():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(9*x)))-(1/(1-x)))] }
-
-
-
-def A024102():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(10*x**2))/((1-(9*x))*(1-x)**2))] }
-
-
-
-def A024103():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(11*x**2)+(8*x**3))/((1-(9*x))*(1-x)**3))] }
-
-
-
-def A024106():
- x = SR.var('x')
- return { 'ogf': [(-(((((10*x**6)+(227*x**5)+(583*x**4)+(148*x**3))-(2*x**2)-(7*x))+1)/((x-1)**6*((9*x)-1))))] }
-
-
-
-def A024108():
- x = SR.var('x')
- return { 'ogf': [(-(((((10*x**8)+(1071*x**7)+(10627*x**6)+(20497*x**5)+(8373*x**4))-(167*x**3)-(83*x**2)-(9*x))+1)/((x-1)**8*((9*x)-1))))] }
-
-
-
-def A024113():
- x = SR.var('x')
- return { 'ogf': [(((((8*x**13)+(36759*x**12)+(4300278*x**11)+(91211180*x**10)+(586677866*x**9)+(1396293387*x**8)+(1300096572*x**7)+(434355696*x**6)+(25369404*x**5))-(5882531*x**4)-(441810*x**3)-(3996*x**2)-(14*x))+1)/((x-1)**13*((9*x)-1)))] }
-
-
-
-def A024115():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(11*x**2))/((1-(10*x))*(1-x)**2))] }
-
-
-
-def A024116():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(12*x**2)+(9*x**3))/((1-(10*x))*(1-x)**3))] }
-
-
-
-def A024119():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(7*x)+x**2)-(174*x**3)-(649*x**4)-(253*x**5)-(11*x**6))/(((10*x)-1)*(x-1)**6))] }
-
-
-
-def A024120():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x)-(26*x**2))+(233*x**3)+(2753*x**4)+(2942*x**5)+(576*x**6)+(9*x**7))/(((10*x)-1)*(x-1)**7))] }
-
-
-
-def A024127():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(11*x)))-(1/(1-x)))] }
-
-
-
-def A024128():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(12*x**2))/((1-(11*x))*(1-x)**2))] }
-
-
-
-def A024129():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(13*x**2)+(10*x**3))/((1-(11*x))*(1-x)**3))] }
-
-
-
-def A024132():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(7*x))-(200*x**3)-(715*x**4)-(279*x**5)-(12*x**6))/(((11*x)-1)*(x-1)**6))] }
-
-
-
-def A024140():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(12*x)))-(1/(1-x)))] }
-
-
-
-def A024141():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(13*x**2))/((1-(12*x))*(1-x)**2))] }
-
-
-
-def A024142():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(14*x**2)+(11*x**3))/((1-(12*x))*(1-x)**3))] }
-
-
-
-def A024145():
- x = SR.var('x')
- return { 'ogf': [(((((-(13*x**6))-(305*x**5)-(781*x**4)-(226*x**3)-x**2)+(7*x))-1)/((x-1)**6*((12*x)-1)))] }
-
-
-
-def A024163():
- x = SR.var('x')
- return { 'ogf': [(x**11/((1-x**2)*(1-x**3)*(1-x**6)))] }
-
-
-
-def A024165():
- x = SR.var('x')
- return { 'ogf': [(x**13/((1-x**3)*(1-x**4)*(1-x**6)))] }
-
-
-
-def A024169():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((-1)-x-x**5-(2*x**7))+x**4+x**8))/((x**2+1)*(1+x+x**2)*((x**4-x**2)+1)*(x-1)**3))] }
-
-
-
-def A024172():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((x**4-x**3)+x**2)-x)+1)*(x**5-x**3-x**2-x-1))/((x-1)**3*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A024174():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((((x**7-(2*x**6))+(2*x**5))-(2*x**4))+x**3)-x**2)+x)-1))/((x-1)**3*(x**2+1)*(x**4+1)))] }
-
-
-
-def A024175():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-x))))))))))))] }
-
-
-
-def A024177():
- x = SR.var('x')
- return { 'ogf': [((((((((-1)-(2*x**2))+(2*x**3))-x**4-(2*x**6))+x**5)-x**8)+x**9)/((x**2+1)*(1+x+x**2)*((x**4-x**2)+1)*(x-1)**3))] }
-
-
-
-def A024178():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-(3*x**2))+(3*x)+2))/((1-x**3)*(1-x)**4))] }
-
-
-
-def A024180():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((x**10-(2*x**9))+x**7+x**4+x**2)-x)+2))/((x-1)**3*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A024182():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**6-(2*x**5))+(2*x**4))-(2*x**3))+x**2)-1))/((x-1)**3*(x**2+1)*(x**4+1)))] }
-
-
-
-def A024183():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((4*x**2)-(13*x))+12))/(x-1)**5))] }
-
-
-
-def A024184():
- x = SR.var('x')
- return { 'ogf': [((x*((((8*x**3)-(41*x**2))+(78*x))-60))/(x-1)**7)] }
-
-
-
-def A024190():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((x**12-(2*x**11))+x**10)-(2*x**9))+(2*x**8)+(2*x**6))-x**5-x**3)+x**2+x+1))/((x-1)**3*(x**2+1)*(x**2+x+1)*((x**4-x**2)+1))))] }
-
-
-
-def A024191():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(6*x))+(2*x**2)))/(1-x)**5)] }
-
-
-
-def A024195():
- x = SR.var('x')
- return { 'ogf': [((((((((((-1)-x**14)+(3*x**13))-(4*x**12))+(3*x**11))-x**10)+x**7)-x**6-x**2)+x)/((x**2+1)*(x**4+1)*(x-1)**3))] }
-
-
-
-def A024196():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(8*x)+x**2))/(1-x)**5)] }
-
-
-
-def A024197():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3+(33*x**2)+(71*x)+15))/(x-1)**7))] }
-
-
-
-def A024198():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(112*x**3)+(718*x**2)+(744*x)+105))/(x-1)**9))] }
-
-
-
-def A024201():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**6-(2*x**5)-x**3-x**2-x-2))/((x-1)**3*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A024202():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4-(5*x**3)-(7*x)-1))/((x-1)**5*(x**2+x+1)))] }
-
-
-
-def A024204():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((x**11-(2*x**10))+(2*x**9))-x**8-x**7-x**5-(2*x**3)-2))/((x-1)**3*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A024212():
- x = SR.var('x')
- return { 'ogf': [((4+(19*x)+(4*x**2))/(1-x)**5)] }
-
-
-
-def A024213():
- x = SR.var('x')
- return { 'ogf': [((-(x*(28+(222*x)+(147*x**2)+(8*x**3))))/(x-1)**7)] }
-
-
-
-def A024214():
- x = SR.var('x')
- return { 'ogf': [(-((x*(280+(3194*x)+(4128*x**2)+(887*x**3)+(16*x**4)))/(x-1)**9))] }
-
-
-
-def A024215():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(13*x)+(4*x**2)))/(x-1)**4)] }
-
-
-
-def A024219():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-3)+(2*x))-(3*x**2))+x**3))/((x**2+1)*(x-1)**3))] }
-
-
-
-def A024220():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(11*x)-(7*x**2)-(8*x**3))+x**4))/((1+x+x**2)*(x-1)**5))] }
-
-
-
-def A024305():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(2*x))-x**2-x**3))/(1+x)**3/(1-x)**4)] }
-
-
-
-def A024309():
- x = SR.var('x')
- return { 'ogf': [(((((-2)+x**7+(2*x**5))-(3*x**3))+x**2)/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024310():
- x = SR.var('x')
- return { 'ogf': [(((((((-2)-x**7)+(2*x**6))-(2*x**5))+(4*x**4)+(5*x**3))-(5*x**2)-(4*x))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024313():
- x = SR.var('x')
- return { 'ogf': [(((((-3)+(2*x**7)+(3*x**5)+x**4)-(4*x**3))+(2*x**2))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024314():
- x = SR.var('x')
- return { 'ogf': [(((((((-3)-(2*x**7))+(4*x**6))-x**5)+(7*x**4)+(8*x**3))-(6*x**2)-(6*x))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024315():
- x = SR.var('x')
- return { 'ogf': [((((-3)+(2*x**6)+x**5+(4*x**4)+(2*x**3))-(2*x**2)-(3*x))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024352():
- x = SR.var('x')
- return { 'ogf': [((((-x**4)-(2*x**3))+(2*x**2)+(2*x)+3)/((x**4-x**3-x)+1))] }
-
-
-
-def A024378():
- x = SR.var('x')
- return { 'ogf': [(-((x*(5+(34*x)+(9*x**2)))/(x-1)**5))] }
-
-
-
-def A024379():
- x = SR.var('x')
- return { 'ogf': [((((27*x**3)+(391*x**2)+(497*x)+45)*x)/(1-x)**7)] }
-
-
-
-def A024380():
- x = SR.var('x')
- return { 'ogf': [((x*(585+(9124*x)+(13678*x**2)+(3412*x**3)+(81*x**4)))/(1-x)**9)] }
-
-
-
-def A024381():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(22*x)+(9*x**2)))/(x-1)**4)] }
-
-
-
-def A024385():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-3)-(3*x)-x**2-(2*x**3)-(2*x**4)-(2*x**5))+x**6))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**3))] }
-
-
-
-def A024386():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)-(14*x))+x**2))/(x-1)**5)] }
-
-
-
-def A024388():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**20-(2*x**19))+x**18+x**12)-(2*x**11))+x**10+x**9)-x**8-x**7-(2*x**6)-x**5-(2*x**4)-x**3-x**2-x-3))/((x-1)**3*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A024389():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((x**17-(2*x**16))+(2*x**14))-x**13-x**11)+(2*x**10))-(4*x**8))+(4*x**7)+(12*x**6)+(21*x**5)+(23*x**4)+(27*x**3)+(21*x**2)+(13*x)+2))/((x-1)**5*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A024390():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((x**16-(2*x**15))+x**14+x**4)-(2*x**2)-x-2))/((x-1)**3*(x+1)*(x**2+1)))] }
-
-
-
-def A024392():
- x = SR.var('x')
- return { 'ogf': [(-((x*(80+(246*x)+(78*x**2)+x**3))/(x-1)**7))] }
-
-
-
-def A024393():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(332*x**3)+(3048*x**2)+(4244*x)+880))/(x-1)**9))] }
-
-
-
-def A024394():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(13*x)+x**2))/(x-1)**4)] }
-
-
-
-def A024398():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-1)-x-(2*x**3))+x**4))/((x**2+1)*(x-1)**3))] }
-
-
-
-def A024399():
- x = SR.var('x')
- return { 'ogf': [((x*(((-5)-(11*x)-(7*x**2)-(5*x**3))+x**4))/((1+x+x**2)*(x-1)**5))] }
-
-
-
-def A024401():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-x-x**3-x**2)+x**4))/((1+x+x**2)*(x-1)**3))] }
-
-
-
-def A024403():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2-x)+1)*(((x**8-x**7-x**5)+x**4)-x**3-x-1))/((x-1)**3*(x**2+1)*(x**4+1)))] }
-
-
-
-def A024458():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-x**2)+1))/((1+x**2)*((1+x)-x**2)*(1-x-x**2)**2))] }
-
-
-
-def A024463():
- x = SR.var('x')
- return { 'ogf': [(((((1-(5*x**5))+(3*x**4))-(3*x**3))+x**2+x)/((x-1)**2*((x**4+x**2)-1)**2))] }
-
-
-
-def A024473():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(6*x**7))+(2*x**6))-(7*x**5))+x**4)-(5*x**3))+(7*x**2)+x)/((x-1)**2*((x**4+x**2)-1)**2))] }
-
-
-
-def A024490():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/(((x**2+x)-1)*((x**2-x)+1))))] }
-
-
-
-def A024493():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-(2*x))*((1-x)+x**2))),
-((1-x)**2/((1-x)**3-x**3))] }
-
-
-
-def A024494():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(2*x))*((1-x)+x**2))),
-((x*(1-x**2)*(1-x**3))/(1-x**6)/(1-(2*x)))] }
-
-
-
-def A024495():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)**3-x**3))] }
-
-
-
-def A024537():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x)*(1-(2*x)-x**2)))] }
-
-
-
-def A024551():
- x = SR.var('x')
- return { 'ogf': [((((-x**2)-x)+1)/((1-x)*(1-(4*x)-x**2)))] }
-
-
-
-def A024591():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**4)+(2*x**2)+x+1))/((1+x**2)*((1+x)-x**2)*(1-x-x**2)**2))] }
-
-
-
-def A024592():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(3*x**7))+x**6)-(6*x**5))+(2*x**4))-(4*x**3))+(4*x**2)+x)/((x-1)**2*((x**4+x**2)-1)**2))] }
-
-
-
-def A024598():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**4)+(2*x**3)+(8*x**2)+(2*x)+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A024718():
- x = SR.var('x')
- return { 'ogf': [((1+(1/sqrt((1-(4*x)))))/(2-(2*x)))] }
-
-
-
-def A024812():
- x = SR.var('x')
- return { 'ogf': [((x*((x**15-x**14)+(3*x**2)+(2*x)+2))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A024813():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**15)-(2*x**14)-x**3)+(5*x**2)+(3*x)+4))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A024854():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-4)-x)+x**2))/((1+x)**3*(x-1)**4)))] }
-
-
-
-def A024857():
- x = SR.var('x')
- return { 'ogf': [(((-1)-x**5-(2*x**2)-x)/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024858():
- x = SR.var('x')
- return { 'ogf': [((((-3)+x**5)-(2*x**4)-(4*x**3)-(2*x**2)-x)/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024861():
- x = SR.var('x')
- return { 'ogf': [(((-2)-x**4-(2*x**3)-(2*x**2)-x)/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024862():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)+(3*x**2)))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A024868():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((6+(2*x))-(4*x**2)-x**3)+x**4))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A024869():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((8+(2*x))-(7*x**2)-x**3)+(2*x**4)))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A024872():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*(((x**5-x**4)+(3*x**3))-(2*x**2)-2))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024873():
- x = SR.var('x')
- return { 'ogf': [((((-6)+(2*x**7)+x**6+(4*x**5)+(2*x**4))-(5*x**3)-(2*x))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024874():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-4)+x**7+x**6+(2*x**5)+(2*x**4))-(2*x**3)-x**2-(2*x)))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024875():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((12+(3*x))-(13*x**2)-(2*x**3))+(4*x**4)))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A024877():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((-9)+(4*x**7)+(2*x**6)+(7*x**5)+(6*x**4))-(6*x**3))+(2*x**2))-(3*x)))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A024878():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(((((2*x**6)+(4*x**4)+x**3)-(3*x**2))+(3*x))-6))/(((x**2+x)-1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A025030():
- x = SR.var('x')
- return { 'ogf': [(((((1+(3*x))-(6*x**2)-(4*x**3))+(5*x**4)+x**5)-x**6)/((1-x)*((1+x)-x**2)*((1-(4*x)-(4*x**2))+x**3+x**4)))] }
-
-
-
-def A025083():
- x = SR.var('x')
- return { 'ogf': [((x*(((3-x-x**2-x**3)+x**4)-(3*x**5)))/((x-1)**2*((x**4+x**2)-1)**2))] }
-
-
-
-def A025106():
- x = SR.var('x')
- return { 'ogf': [((x*(((3-x)+(4*x**2))-(4*x**3)-(2*x**4)-(2*x**5)-x**6-x**7))/((x-1)**2*((x**4+x**2)-1)**2))] }
-
-
-
-def A025112():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)+(8*x**2)+(2*x**3)+x**4))/((1+x)**3*(1-x)**4))] }
-
-
-
-def A025169():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(3*x))+x**2))] }
-
-
-
-def A025170():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(2*x)+(9*x**2)))] }
-
-
-
-def A025171():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(2*x)+(16*x**2)))] }
-
-
-
-def A025172():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x))+(9*x**2)))] }
-
-
-
-def A025173():
- x = SR.var('x')
- return { 'ogf': [((x-(9*x**2))/((1-(2*x))+(9*x**2))**2)] }
-
-
-
-def A025178():
- x = SR.var('x')
- return { 'ogf': [((-(1/x**2))+(((1/x**2)-(1/x))/sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A025179():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**2-((1-x)*sqrt((1-(2*x)-(3*x**2)))))/(2*x*sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A025192():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(3*x))),
-(1/(1-((2*x)/(1-x))))] }
-
-
-
-def A025226():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(12*x))))/2)] }
-
-
-
-def A025227():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x)-(4*x**2))))/2)] }
-
-
-
-def A025229():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x)-(8*x**2))))/2)] }
-
-
-
-def A025234():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x-(5*x**2)-(4*x**3))+x**5))] }
-
-
-
-def A025235():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(7*x**2))))/(4*x**2))] }
-
-
-
-def A025237():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(11*x**2))))/(6*x**2))] }
-
-
-
-def A025243():
- x = SR.var('x')
- return { 'ogf': [(((1+x+(2*x**2))-sqrt(((1-(2*x)-(3*x**2))+(4*x**4))))/2)] }
-
-
-
-def A025244():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-sqrt(((1-(2*x)-x**2-(6*x**3))+x**4)))/2)] }
-
-
-
-def A025254():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x)+x**2)-sqrt((((x**4+(2*x**3)+(7*x**2))-(6*x))+1)))/(2*x))] }
-
-
-
-def A025256():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-sqrt(((1-(2*x)-x**2-(10*x**3))+x**4)))/2)] }
-
-
-
-def A025257():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-(6*x**3)-sqrt(((1-(2*x)-x**2-(10*x**3))+x**4)))/x**3/6)] }
-
-
-
-def A025259():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2-sqrt(((((1-(4*x))+(6*x**2))-(8*x**3))+x**4)))/(2*x))] }
-
-
-
-def A025262():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(4*x))+(4*x**3))))/2)] }
-
-
-
-def A025263():
- x = SR.var('x')
- return { 'ogf': [((1/2)-(sqrt((((12*x**3)-(4*x**2)-(4*x))+1))/2))] }
-
-
-
-def A025264():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(8*x))+(12*x**2)+(12*x**3))))/2)] }
-
-
-
-def A025265():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((((1-(4*x))+(4*x**2))-(4*x**3))))/2)] }
-
-
-
-def A025266():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(4*x))+(8*x**3))))/2)] }
-
-
-
-def A025267():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((((1-(4*x))+(8*x**2))-(12*x**3))))/2)] }
-
-
-
-def A025268():
- x = SR.var('x')
- return { 'ogf': [((1/2)-(sqrt(((((8*x**4)+(4*x**3))-(4*x))+1))/2))] }
-
-
-
-def A025269():
- x = SR.var('x')
- return { 'ogf': [((1/2)-(sqrt(((((16*x**4)+(12*x**3)+(12*x**2))-(8*x))+1))/2))] }
-
-
-
-def A025270():
- x = SR.var('x')
- return { 'ogf': [((1/2)-(sqrt(((((20*x**4)+(12*x**3))-(4*x**2)-(4*x))+1))/2))] }
-
-
-
-def A025272():
- x = SR.var('x')
- return { 'ogf': [((1/2)-(sqrt(((((4*x**4)+(4*x**3))-(4*x))+1))/2))] }
-
-
-
-def A025273():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((((1-(4*x))+(4*x**2))-(4*x**3))+(4*x**4))))/(2*x))] }
-
-
-
-def A025274():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(4*x))+(4*x**3)+(12*x**4))))/2)] }
-
-
-
-def A025275():
- x = SR.var('x')
- return { 'ogf': [((1/2)-(sqrt((((((8*x**4)-(4*x**3))+(4*x**2))-(4*x))+1))/2))] }
-
-
-
-def A025276():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(2*x))**2-(4*x**4))))/2)] }
-
-
-
-def A025277():
- x = SR.var('x')
- return { 'ogf': [(-((sqrt((1-(4*x**4)-(4*x**3)))-1)/2))] }
-
-
-
-def A025278():
- x = SR.var('x')
- return { 'ogf': [((1/2)-(sqrt((((((8*x**4)-(12*x**3))+(8*x**2))-(4*x))+1))/2))] }
-
-
-
-def A025279():
- x = SR.var('x')
- return { 'ogf': [((1/2)-(sqrt(((((-(12*x**4))+(4*x**3)+(4*x**2))-(4*x))+1))/2))] }
-
-
-
-def A025551():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(3*x))*(1-(9*x))))] }
-
-
-
-def A025565():
- x = SR.var('x')
- return { 'ogf': [(x*sqrt(((1+x)/(1-(3*x)))))] }
-
-
-
-def A025567():
- x = SR.var('x')
- return { 'ogf': [((x**2-1-((sqrt((1+x))*((x**2+(2*x))-1))/sqrt((1-(3*x)))))/(2*x**3))] }
-
-
-
-def A025577():
- x = SR.var('x')
- return { 'ogf': [((x/(1-x))*sqrt(((1+x)/(1-(3*x)))))] }
-
-
-
-def A025592():
- x = SR.var('x')
- return { 'ogf': [(((((((-(120*x**5))+(274*x**4))-(225*x**3))+(85*x**2))-(15*x))+1)/(((((((-(192*x**7))-(184*x**6))+(1066*x**5)+(113*x**4))-(468*x**3))+(166*x**2))-(22*x))+1))] }
-
-
-
-def A025593():
- x = SR.var('x')
- return { 'ogf': [((((5*x)-1)*((((((32*x**6)+(32*x**5))-(164*x**4)-(52*x**3))+(71*x**2))-(16*x))+1))/((x+1)*(((((((192*x**7)+(184*x**6))-(1066*x**5)-(113*x**4))+(468*x**3))-(166*x**2))+(22*x))-1)))] }
-
-
-
-def A025594():
- x = SR.var('x')
- return { 'ogf': [(-((((((((32*x**6)+(56*x**5))-(214*x**4)-(17*x**3))+(61*x**2))-(15*x))+1)*x)/((x+1)*(((((((192*x**7)+(184*x**6))-(1066*x**5)-(113*x**4))+(468*x**3))-(166*x**2))+(22*x))-1))))] }
-
-
-
-def A025595():
- x = SR.var('x')
- return { 'ogf': [(-(((((((48*x**9)+(120*x**8))-(126*x**7)-(457*x**6)-(175*x**5))+(162*x**4)+(75*x**3))-(18*x**2)-(6*x))+1)/(((3*x)-1)*((3*x**3)-(3*x)-1)*(((3*x**3)-(9*x**2)-(3*x))+1)*(((3*x**3)+(9*x**2)+(6*x))-1))))] }
-
-
-
-def A025596():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((366792*x**28)+(1467576*x**27))-(12798504*x**26)-(72600752*x**25)-(21006456*x**24))+(422686650*x**23)+(540127006*x**22))-(778634925*x**21)-(1667725833*x**20))+(251744543*x**19)+(2041143680*x**18)+(623336211*x**17))-(1120415212*x**16)-(632536275*x**15))+(292599456*x**14)+(251183915*x**13))-(34444590*x**12)-(53894715*x**11))+(598372*x**10)+(6991156*x**9)+(261765*x**8))-(576944*x**7)-(24270*x**6))+(30477*x**5)+(523*x**4))-(963*x**3))+(24*x**2)+(14*x))-1)/(((3*x)-1)*(x+1)*((3*x**3)-(3*x)-1)*((x**3-(3*x))+1)*(((17*x**3)+(6*x**2))-(3*x)-1)*(((x**3+(3*x**2))-(6*x))+1)*(((3*x**3)+(9*x**2)+(6*x))-1)*(((19*x**3)-(9*x**2)-(3*x))+1)*(x**3+(9*x**2)+(6*x)+1)*(((3*x**3)-(9*x**2)-(3*x))+1)*(((17*x**3)+(18*x**2)+(3*x))-1)))] }
-
-
-
-def A025597():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((408459*x**21)+(3108249*x**20)+(5135985*x**19))-(8733022*x**18)-(29723403*x**17)-(6771900*x**16))+(52706117*x**15)+(58351590*x**14))-(6069219*x**13)-(51965240*x**12)-(37661505*x**11)-(6328524*x**10))+(5718540*x**9)+(3500727*x**8)+(471552*x**7))-(208258*x**6)-(90243*x**5)-(9609*x**4))+(1531*x**3)+(498*x**2)+(42*x)+1)*x**7)/(((3*x)-1)*(x+1)*((3*x**3)-(3*x)-1)*((x**3-(3*x))+1)*(((17*x**3)+(6*x**2))-(3*x)-1)*(((x**3+(3*x**2))-(6*x))+1)*(((3*x**3)+(9*x**2)+(6*x))-1)*(((19*x**3)-(9*x**2)-(3*x))+1)*(x**3+(9*x**2)+(6*x)+1)*(((3*x**3)-(9*x**2)-(3*x))+1)*(((17*x**3)+(18*x**2)+(3*x))-1))))] }
-
-
-
-def A025598():
- x = SR.var('x')
- return { 'ogf': [(-(((((((267*x**9)+(2097*x**8)+(4104*x**7))-(1898*x**6)-(8970*x**5)-(2100*x**4))+(4314*x**3)+(1932*x**2))-(171*x)-127)*x**7)/(((3*x)-1)*(x+1)*(((17*x**3)+(6*x**2))-(3*x)-1)*(((3*x**3)+(9*x**2)+(6*x))-1)*(((3*x**3)-(9*x**2)-(3*x))+1)*((3*x**3)-(3*x)-1)*(((x**3+(3*x**2))-(6*x))+1))))] }
-
-
-
-def A025599():
- x = SR.var('x')
- return { 'ogf': [(-((((((72*x**7)+(128*x**6))-(42*x**5)-(108*x**4)-(3*x**3))+(21*x**2)+x)-1)/(((((96*x**8)-(16*x**7)-(276*x**6)-(42*x**5))+(162*x**4)+(29*x**3))-(27*x**2)-(3*x))+1)))] }
-
-
-
-def A025600():
- x = SR.var('x')
- return { 'ogf': [(1-(2495/3704)-(((((((((((((((((-2495)+(257062*x**2))-(10940636*x**4))+(261002480*x**6))-(3.944912606E9*x**8))+(4.0234628876E10*x**10))-(2.86888584304E11*x**12))+(1.458140925208E12*x**14))-(5.325997352347E12*x**16))+(1.3961752450926E13*x**18))-(2.5982840678332E13*x**20))+(3.357269266108E13*x**22))-(2.8997305139008E13*x**24))+(1.5706751871616E13*x**26))-(4.743107684352E12*x**28))+(5.9887898624E11*x**30))/(3704*((-1)+x)*(1+x)*((-1)+(2*x))*(1+(2*x))*((((1-(3*x)-(27*x**2))+(29*x**3)+(162*x**4))-(42*x**5)-(276*x**6)-(16*x**7))+(96*x**8))*(((((1+(3*x))-(27*x**2)-(29*x**3))+(162*x**4)+(42*x**5))-(276*x**6))+(16*x**7)+(96*x**8))*((((((1-(38*x**2))+(546*x**4))-(3712*x**6))+(12253*x**8))-(17754*x**10))+(7408*x**12)))))] }
-
-
-
-def A025601():
- x = SR.var('x')
- return { 'ogf': [((-(1209/3704))-(((((((((((((((((-1209)+(128154*x**2))-(5653284*x**4))+(140288880*x**6))-(2.209572306E9*x**8))+(2.3499491668E10*x**10))-(1.747112148E11*x**12))+(9.25284326152E11*x**14))-(3.517813018109E12*x**16))+(9.584107200498E12*x**18))-(1.850000258298E13*x**20))+(2.4730494598568E13*x**22))-(2.202945916448E13*x**24))+(1.2263416585088E13*x**26))-(3.794033661952E12*x**28))+(4.8990973952E11*x**30))/(3704*((-1)+x)*(1+x)*((-1)+(2*x))*(1+(2*x))*((((1-(3*x)-(27*x**2))+(29*x**3)+(162*x**4))-(42*x**5)-(276*x**6)-(16*x**7))+(96*x**8))*(((((1+(3*x))-(27*x**2)-(29*x**3))+(162*x**4)+(42*x**5))-(276*x**6))+(16*x**7)+(96*x**8))*((((((1-(38*x**2))+(546*x**4))-(3712*x**6))+(12253*x**8))-(17754*x**10))+(7408*x**12)))))] }
-
-
-
-def A025602():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5*((((((((-9)+(186*x**2))-(1433*x**4))+(5172*x**6))-(9228*x**8))+(8048*x**10))-(3360*x**12))+(768*x**14)))/(((-1)+x)*(1+x)*((-1)+(2*x))*(1+(2*x))*((((1-(3*x)-(27*x**2))+(29*x**3)+(162*x**4))-(42*x**5)-(276*x**6)-(16*x**7))+(96*x**8))*(((((1+(3*x))-(27*x**2)-(29*x**3))+(162*x**4)+(42*x**5))-(276*x**6))+(16*x**7)+(96*x**8)))))] }
-
-
-
-def A025603():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x)-1)*(((16*x**3)-(4*x**2)-(5*x))+1)*((((112*x**4)-(124*x**3)-(8*x**2))+(11*x))-1))/((((((((112896*x**9)-(170880*x**8))+(29184*x**7)+(55636*x**6))-(26128*x**5))+(79*x**4)+(2120*x**3))-(482*x**2))+(40*x))-1)))] }
-
-
-
-def A025604():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(3*x))*((((((((((((((((((-1)+(65*x))-(1704*x**2))+(23568*x**3))-(178704*x**4))+(576430*x**5)+(1641524*x**6))-(22152084*x**7))+(63390443*x**8)+(107381625*x**9))-(1072548108*x**10))+(1604228092*x**11)+(5.065000686E9*x**12))-(1.9304907936E10*x**13))+(3.650528536E9*x**14)+(7.5404779968E10*x**15))-(9.9704483296E10*x**16)-(9.7719166208E10*x**17))+(2.92843382912E11*x**18))-(7.6390477824E10*x**19)-(2.91118184448E11*x**20))+(2.42903138304E11*x**21)+(3.2643219456E10*x**22))-(9.392357376E10*x**23))+(2.4970788864E10*x**24)))/(((((1-(8*x)-(14*x**2))+(152*x**3)+(49*x**4))-(816*x**5)-(36*x**6))+(1152*x**7))*((((((((-1)+(40*x))-(482*x**2))+(2120*x**3)+(79*x**4))-(26128*x**5))+(55636*x**6)+(29184*x**7))-(170880*x**8))+(112896*x**9))*((((((((-1)+(20*x))-(130*x**2))+(168*x**3)+(1375*x**4))-(4652*x**5)-(348*x**6))+(15472*x**7))-(10816*x**8)-(7296*x**9))+(4608*x**10))))] }
-
-
-
-def A025605():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((((((((-1)+(60*x))-(1491*x**2))+(19722*x**3))-(141652*x**4))+(390120*x**5)+(1878634*x**6))-(19619492*x**7))+(49699215*x**8)+(120035252*x**9))-(974426255*x**10))+(1310451626*x**11)+(4.951791366E9*x**12))-(1.775200788E10*x**13))+(2.466834328E9*x**14)+(7.1791048288E10*x**15))-(9.4759824992E10*x**16)-(9.3926071168E10*x**17))+(2.85741722496E11*x**18))-(7.8159888384E10*x**19)-(2.88554182656E11*x**20))+(2.4477401088E11*x**21)+(3.5092168704E10*x**22))-(9.7271414784E10*x**23))+(2.4970788864E10*x**24)))/(((((1-(8*x)-(14*x**2))+(152*x**3)+(49*x**4))-(816*x**5)-(36*x**6))+(1152*x**7))*((((((((-1)+(40*x))-(482*x**2))+(2120*x**3)+(79*x**4))-(26128*x**5))+(55636*x**6)+(29184*x**7))-(170880*x**8))+(112896*x**9))*((((((((-1)+(20*x))-(130*x**2))+(168*x**3)+(1375*x**4))-(4652*x**5)-(348*x**6))+(15472*x**7))-(10816*x**8)-(7296*x**9))+(4608*x**10)))))] }
-
-
-
-def A025606():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((602112*x**12)-(576768*x**11)-(530368*x**10))+(580832*x**9)+(116752*x**8))-(198176*x**7))+(8788*x**6)+(26462*x**5))-(4839*x**4)-(956*x**3))+(354*x**2))-(34*x))+1)*((3*x)-1)**2*x)/(((((((((112896*x**9)-(170880*x**8))+(29184*x**7)+(55636*x**6))-(26128*x**5))+(79*x**4)+(2120*x**3))-(482*x**2))+(40*x))-1)*(((((1152*x**7)-(36*x**6)-(816*x**5))+(49*x**4)+(152*x**3))-(14*x**2)-(8*x))+1))))] }
-
-
-
-def A025607():
- x = SR.var('x')
- return { 'ogf': [(((1-(18*x))+(58*x**2))/((1+(2*x))*(1-(6*x))*(1-(14*x))))] }
-
-
-
-def A025608():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1+(2*x))*(1-(6*x))*(1-(14*x))))] }
-
-
-
-def A025609():
- x = SR.var('x')
- return { 'ogf': [((x-(12*x**2))/((1+(2*x))*(1-(6*x))*(1-(14*x))))] }
-
-
-
-def A025748():
- x = SR.var('x')
- return { 'ogf': [((4-(1-(9*x))**(1/3))/3)] }
-
-
-
-def A025750():
- x = SR.var('x')
- return { 'ogf': [((6-(1-(25*x))**(1/5))/5)] }
-
-
-
-def A025751():
- x = SR.var('x')
- return { 'ogf': [((7-(1-(36*x))**(1/6))/6)] }
-
-
-
-def A025752():
- x = SR.var('x')
- return { 'ogf': [((8-(1-(49*x))**(1/7))/7)] }
-
-
-
-def A025754():
- x = SR.var('x')
- return { 'ogf': [((10-(1-(81*x))**(1/9))/9)] }
-
-
-
-def A025755():
- x = SR.var('x')
- return { 'ogf': [((11-(1-(100*x))**(1/10))/10)] }
-
-
-
-def A025756():
- x = SR.var('x')
- return { 'ogf': [(3/(2+(1-(9*x))**(1/3)))] }
-
-
-
-def A025757():
- x = SR.var('x')
- return { 'ogf': [(4/(3+(1-(16*x))**(1/4)))] }
-
-
-
-def A025758():
- x = SR.var('x')
- return { 'ogf': [(5/(4+(1-(25*x))**(1/5)))] }
-
-
-
-def A025759():
- x = SR.var('x')
- return { 'ogf': [(6/(5+(1-(36*x))**(1/6)))] }
-
-
-
-def A025761():
- x = SR.var('x')
- return { 'ogf': [(8/(7+(1-(64*x))**(1/8)))] }
-
-
-
-def A025762():
- x = SR.var('x')
- return { 'ogf': [(9/(8+(1-(81*x))**(1/9)))] }
-
-
-
-def A025763():
- x = SR.var('x')
- return { 'ogf': [(10/(9+(1-(100*x))**(1/10)))] }
-
-
-
-def A025767():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**3)*(1-x**4)))] }
-
-
-
-def A025795():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**3)*(1-x**5)))] }
-
-
-
-def A025799():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**3)*(1-x**10)))] }
-
-
-
-def A025810():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**5)*(1-x**10)))] }
-
-
-
-def A025966():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(4*x))*(1-(6*x))*(1-(8*x))))] }
-
-
-
-def A026002():
- x = SR.var('x')
- return { 'ogf': [(((1/2)-(1/(2*x)))+(((1-(4*x))+x**2)/(2*x*sqrt(((1-(6*x))+x**2)))))] }
-
-
-
-def A026003():
- x = SR.var('x')
- return { 'ogf': [((sqrt(((x**2-(2*x)-1)/((x**2+(2*x))-1)))-1)/2/x)] }
-
-
-
-def A026030():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-(2*x)))/(((1-(2*x))*((1-(4*x))+x**2))+((1-x)*(1-(3*x))*sqrt((1-(4*x))))))] }
-
-
-
-def A026035():
- x = SR.var('x')
- return { 'ogf': [((((2-x)+x**2)*x**2)/((1+x)*(1-x)**4))] }
-
-
-
-def A026036():
- x = SR.var('x')
- return { 'ogf': [((((2-(2*x))+x**2)*(1+x**2)*x**3)/((1-x)**3*(1-x**5)))] }
-
-
-
-def A026037():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((-11)+(22*x))-(18*x**2))+(5*x**3)))/(x-1)**4))] }
-
-
-
-def A026038():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((5-(9*x))+(11*x**2))-(10*x**3))+(7*x**4))-(2*x**5)))/((x**2+1)*(x-1)**4))] }
-
-
-
-def A026039():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((((-2)+(2*x))-(2*x**2))+x**3)-(2*x**4))+(3*x**5))-(3*x**6))+x**7))/((x**4+x**3+x**2+x+1)*(x-1)**4)))] }
-
-
-
-def A026040():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((24-(56*x))+(48*x**2))-(14*x**3)))/(1-x)**4)] }
-
-
-
-def A026041():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((7*x**3)-(24*x**2))+(28*x))-12))/(x-1)**4))] }
-
-
-
-def A026042():
- x = SR.var('x')
- return { 'ogf': [((x*(((((4-(4*x))+(3*x**3))-x**4-(3*x**5))+(5*x**6))-(2*x**7)))/((x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A026043():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((45-(113*x))+(100*x**2))-(30*x**3)))/(1-x)**4)] }
-
-
-
-def A026044():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((((22-(55*x))+(71*x**2))-(71*x**3))+(50*x**4))-(15*x**5)))/((x**2+1)*(x-1)**4))] }
-
-
-
-def A026045():
- x = SR.var('x')
- return { 'ogf': [((x*((((9-(14*x))+(7*x**2)+x**3)-x**4-(8*x**5)-(6*x**7))+(14*x**6)))/((x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A026046():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((76-(199*x))+(180*x**2))-(55*x**3)))/(1-x)**4)] }
-
-
-
-def A026047():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((38-(62*x)-(8*x**2))+(61*x**3))-(27*x**4)))/((1+x)*(x-1)**4))] }
-
-
-
-def A026048():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((((15-(24*x))+(10*x**2)+(3*x**3))-(2*x**4)-(14*x**5))+(25*x**6))-(11*x**7)))/((x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A026049():
- x = SR.var('x')
- return { 'ogf': [((x**7*(((119-(320*x))+(294*x**2))-(91*x**3)))/(1-x)**4)] }
-
-
-
-def A026050():
- x = SR.var('x')
- return { 'ogf': [((x**7*(((((59-(158*x))+(203*x**2))-(202*x**3))+(145*x**4))-(45*x**5)))/((x**2+1)*(x-1)**4))] }
-
-
-
-def A026053():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((-1)+x)-(2*x**2))+x**3))/((x**4+x**3+x**2+x+1)*(x-1)**4)))] }
-
-
-
-def A026054():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((13-(24*x))+(16*x**2))-(4*x**3)))/(1-x)**4)] }
-
-
-
-def A026055():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((6-(4*x))+x**2+x**3+(6*x**5))-(2*x**6)-(6*x**4)))/((1+x)*(x**2+1)*(x-1)**4))] }
-
-
-
-def A026056():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((2-x)+x**2)-x**3))/((x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A026057():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)+(9*x))-(6*x**2)))/(1-x)**4)] }
-
-
-
-def A026058():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((13-(14*x))+(5*x**2)+(2*x**3))-(14*x**4))+(15*x**5))-(5*x**6)))/((1+x)*(x**2+1)*(x-1)**4))] }
-
-
-
-def A026060():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((45-(100*x))+(76*x**2))-(20*x**3)))/(1-x)**4)] }
-
-
-
-def A026061():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((22-(26*x))+(9*x**2)+x**3+(28*x**5))-(10*x**6)-(22*x**4)))/((1+x)*(x**2+1)*(x-1)**4))] }
-
-
-
-def A026062():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((((9-(11*x))+(4*x**2)+(2*x**4))-(11*x**5))+(12*x**6))-(4*x**7)))/((x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A026063():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((71-(165*x))+(130*x**2))-(35*x**3)))/(1-x)**4)] }
-
-
-
-def A026064():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((35-(46*x))+(18*x**2))-x**3-(33*x**4)-(17*x**6))+(46*x**5)))/((1+x)*(x**2+1)*(x-1)**4))] }
-
-
-
-def A026066():
- x = SR.var('x')
- return { 'ogf': [((x**7*(((105-(252*x))+(204*x**2))-(56*x**3)))/(1-x)**4)] }
-
-
-
-def A026067():
- x = SR.var('x')
- return { 'ogf': [((x**7*(((52-(72*x))+(27*x**2)+x**3+(74*x**5))-(28*x**6)-(52*x**4)))/((1+x)*(x**2+1)*(x-1)**4))] }
-
-
-
-def A026068():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*((((((-21)+(30*x))-(13*x**2))+x**3+(20*x**5))-(29*x**6))+(11*x**7)))/((x**4+x**3+x**2+x+1)*(x-1)**4)))] }
-
-
-
-def A026097():
- x = SR.var('x')
- return { 'ogf': [((((4*x**3)+(2*x**2)+x)-1)/((3*x)-1))] }
-
-
-
-def A026121():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(((9*x)-1)*((3*x)-1)))] }
-
-
-
-def A026135():
- x = SR.var('x')
- return { 'ogf': [(((((x-1)**2*((1+x)/(1-(3*x)))**(1/2))+x**2)-1)/(2*x**2))] }
-
-
-
-def A026150():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A026244():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(4*x))*(1-(16*x))))] }
-
-
-
-def A026269():
- x = SR.var('x')
- return { 'ogf': [((4*(x**2*(1-x**2)))/((1-x)+sqrt((1-(2*x)-(3*x**2))))**2)] }
-
-
-
-def A026288():
- x = SR.var('x')
- return { 'ogf': [((8*(x**2*(1-x))*(1-x**2))/((1-x)+sqrt((1-(2*x)-(3*x**2))))**3)] }
-
-
-
-def A026289():
- x = SR.var('x')
- return { 'ogf': [((16*(x**3*(1-x))*(1-x**2))/((1-x)+sqrt((1-(2*x)-(3*x**2))))**4)] }
-
-
-
-def A026290():
- x = SR.var('x')
- return { 'ogf': [((32*(x**4*(1-x))*(1-x**2))/((1-x)+sqrt((1-(2*x)-(3*x**2))))**5)] }
-
-
-
-def A026337():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(((16*x)-1)*((4*x)-1)))] }
-
-
-
-def A026375():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(6*x))+(5*x**2))))] }
-
-
-
-def A026377():
- x = SR.var('x')
- return { 'ogf': [((((3*x)-1)+(((1-(6*x))+(7*x**2))/sqrt((((5*x**2)-(6*x))+1))))/(2*x**2))] }
-
-
-
-def A026378():
- x = SR.var('x')
- return { 'ogf': [((1/2/((5*x**2)-x))*(1-(5*x)-((1-(6*x))+(5*x**2))**(1/2))),
-((((1-x)/sqrt(((1-(6*x))+(5*x**2))))-1)/2)] }
-
-
-
-def A026381():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+(5*x**2)))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A026382():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(5*x)+(8*x**2)+(13*x**3)))/((1-x)**4*(1+x)**3))] }
-
-
-
-def A026383():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(5*x**2)))] }
-
-
-
-def A026384():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x)*(1-(5*x**2))))] }
-
-
-
-def A026385():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-x**2-(3*x**3)-x**4))] }
-
-
-
-def A026393():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+(2*x**2)+(3*x**3)))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A026394():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(4*x)+(9*x**2)+(5*x**3)+(8*x**4)))/((1-x)**4*(1+x)**3))] }
-
-
-
-def A026395():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/(1-(5*x**2)))] }
-
-
-
-def A026396():
- x = SR.var('x')
- return { 'ogf': [(((3+(4*x))-(5*x**2))/((1-x)*(1-(5*x**2))))] }
-
-
-
-def A026397():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2))/(1-x**2-(3*x**3)-x**4))] }
-
-
-
-def A026418():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+x**2)-sqrt((((1-(2*x)-x**2)+(2*x**3))-(3*x**4))))/(2*x**2))] }
-
-
-
-def A026474():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2+(2*x**3)+(3*x**4)))/(1-x)**2)] }
-
-
-
-def A026476():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**3)+(2*x**4)+(6*x**5)))/((1-x)**2*(1+x)))] }
-
-
-
-def A026532():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(6*x**2)))] }
-
-
-
-def A026534():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1-x)*(1-(6*x**2))))] }
-
-
-
-def A026551():
- x = SR.var('x')
- return { 'ogf': [((3*((1+(2*x))-(2*x**2)))/((1-x)*(1-(6*x**2))))] }
-
-
-
-def A026565():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(3*x**2))/(1-(6*x**2)))] }
-
-
-
-def A026567():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(3*x**2))/((1-x)*(1-(6*x**2))))] }
-
-
-
-def A026569():
- x = SR.var('x')
- return { 'ogf': [sqrt((1/((1-x)*(1-x-(4*x**2)))))] }
-
-
-
-def A026585():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1-x)/(1-x-(4*x**2))))] }
-
-
-
-def A026597():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(4*x**2)))] }
-
-
-
-def A026616():
- x = SR.var('x')
- return { 'ogf': [(((2-x)/sqrt((1-(4*x))))-1)] }
-
-
-
-def A026633():
- x = SR.var('x')
- return { 'ogf': [((1+x**4)/((1-(2*x))*(1-x**2)))] }
-
-
-
-def A026635():
- x = SR.var('x')
- return { 'ogf': [((1+x**4)/((1-x)*(1-(2*x))*(1-x**2)))] }
-
-
-
-def A026636():
- x = SR.var('x')
- return { 'ogf': [((((x**7+x**5)-x**4)+x**3+1)/((1-x**4)*(1-x-x**2)))] }
-
-
-
-def A026638():
- x = SR.var('x')
- return { 'ogf': [(((1/(2+x))+(3/((2+x)*sqrt((1-(4*x))))))-1)] }
-
-
-
-def A026641():
- x = SR.var('x')
- return { 'ogf': [(2/(((3*sqrt((1-(4*x))))-1)+(4*x)))] }
-
-
-
-def A026644():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+(2*x**3))/((1-x)*(1-x-(2*x**2))))] }
-
-
-
-def A026646():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+(2*x**3))/((1-x)*(1-(2*x))*(1-x**2)))] }
-
-
-
-def A026647():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**5+1)/((1-x**4)*(1-x-x**2)))] }
-
-
-
-def A026655():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+x**2))/(1-(4*x**2)-(2*x**4)))] }
-
-
-
-def A026657():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+x**2))/((1-x)*(1-(4*x**2)-(2*x**4))))] }
-
-
-
-def A026658():
- x = SR.var('x')
- return { 'ogf': [(((-x**6)+(2*x**5)+x**4+(2*x**3)+x+1)/((x**8-(4*x**6)-x**4-(2*x**2))+1))] }
-
-
-
-def A026671():
- x = SR.var('x')
- return { 'ogf': [(1/(sqrt((1-(4*x)))-x))] }
-
-
-
-def A026735():
- x = SR.var('x')
- return { 'ogf': [(-(((1/2)*(((((2*x**6)-(5*x**4))+(8*x**3)+x)-2)+(x*(x-1)*(x**2+x+1)*(1-(4*x**3))**(1/2))))/((x**6+(4*x**3))-1)/((x**2+x)-1)))] }
-
-
-
-def A026741():
- x = SR.var('x')
- return { 'ogf': [((x**3+x**2+x)/(1-x**2)**2),
-((x*(1-x**3))/((1-x)*(1-x**2)**2))] }
-
-
-
-def A026765():
- x = SR.var('x')
- return { 'ogf': [(-(((1/2)*(((1-(2*x)-(5*x**2))+(10*x**3))-(((1-(10*x**2))+(29*x**4))-(20*x**6))**(1/2)))/x/((1-(2*x)-(5*x**2))+(10*x**3))))] }
-
-
-
-def A026773():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1-(4*x)))-sqrt(((1-(6*x))+x**2)))/(2*x))-(1/2))] }
-
-
-
-def A026806():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**3-x**4))/((1-x**2)*(1-x**3)))] }
-
-
-
-def A026810():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)))] }
-
-
-
-def A026811():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)))] }
-
-
-
-def A026812():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)))] }
-
-
-
-def A026813():
- x = SR.var('x')
- return { 'ogf': [(x**7/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)))] }
-
-
-
-def A026814():
- x = SR.var('x')
- return { 'ogf': [(x**8/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)*(1-x**8)))] }
-
-
-
-def A026815():
- x = SR.var('x')
- return { 'ogf': [(x**9/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)*(1-x**8)*(1-x**9)))] }
-
-
-
-def A026816():
- x = SR.var('x')
- return { 'ogf': [(x**10/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)*(1-x**8)*(1-x**9)*(1-x**10)))] }
-
-
-
-def A026817():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(5*x)))/(1-x)**3)] }
-
-
-
-def A026918():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(12*x)-(25*x**2)-(12*x**3)-x**4)/(((x**2+x)-1)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A026922():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1-x)+x**2))/((1+x)*(1-x)**2*(1+x**2))),
-((x**2*((1-x)+x**2))/((1-x-x**4)+x**5))] }
-
-
-
-def A026933():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x)/sqrt(((1-(6*x))+x**2)))] }
-
-
-
-def A026937():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-x**2)**2)] }
-
-
-
-def A026950():
- x = SR.var('x')
- return { 'ogf': [(-(((5*x**3)-(3*x)-1)/((5*x**2)-1)**2))] }
-
-
-
-def A026955():
- x = SR.var('x')
- return { 'ogf': [((((5*x**4)-(5*x**3)-(2*x**2))+(3*x)+1)/((5*x**2)-1)**2)] }
-
-
-
-def A026965():
- x = SR.var('x')
- return { 'ogf': [((((((3*x**7)-(2*x**6)-(5*x**5))+(3*x**4))-x**3-x)+1)/((x-1)**2*(x+1)**2*((2*x)-1)**2))] }
-
-
-
-def A027000():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(8*x))-(3*x**2)))/((1-x)**2*((1-(3*x))+x**2)))] }
-
-
-
-def A027009():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-(2*x**4))-x**3)+(4*x**2))-x)+1))/((1-(2*x))*((1+x)-x**2)*(1-x-x**2)))] }
-
-
-
-def A027010():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)-x**2)+1))/((1-x)*((1-(2*x**2)-x**3)+x**4)))] }
-
-
-
-def A027021():
- x = SR.var('x')
- return { 'ogf': [((x*((((-(4*x**6))+(10*x**4))-x**3-x)+1))/((1-x**2)*(1-(2*x))*((1+x)-x**2)*(1-x-x**2)))] }
-
-
-
-def A027022():
- x = SR.var('x')
- return { 'ogf': [((x*(((-x**4)-(3*x**3))+x**2+(3*x)+1))/((1-x**2)*((1-(2*x**2)-x**3)+x**4)))] }
-
-
-
-def A027025():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+(8*x)+(2*x**2))-(3*x**4)))/((1-x)**2*(1-x-x**2-x**3)))] }
-
-
-
-def A027026():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((5*x**5)-(7*x**4)-(2*x**3)-(10*x**2))+(21*x)+1))/((1-x)**3*(1-x-x**2-x**3)))] }
-
-
-
-def A027053():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)**2)/((1-x)*(1-x-x**2-x**3)))] }
-
-
-
-def A027083():
- x = SR.var('x')
- return { 'ogf': [((2*(x**2*(1+x+x**2)))/((1-x)*(1-x-x**2-x**3)))] }
-
-
-
-def A027084():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+x+1))/((x**4-(2*x))+1))] }
-
-
-
-def A027085():
- x = SR.var('x')
- return { 'ogf': [((x**3-x**2-x-5)/((x-1)**2*((x**3+x**2+x)-1)))] }
-
-
-
-def A027107():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((1-(4*x))+(3*x**2)))] }
-
-
-
-def A027114():
- x = SR.var('x')
- return { 'ogf': [((3+(3*x)+(2*x**2))/((1-x)*(1-x-x**2-x**3)))] }
-
-
-
-def A027151():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))*(1+x**2))/(1-(6*x**2)-(3*x**4)))] }
-
-
-
-def A027181():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A027261():
- x = SR.var('x')
- return { 'ogf': [(((1-(9*x**2))+(18*x**3))/(1-(3*x))**2)] }
-
-
-
-def A027266():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(6*x**2))/(1-(6*x**2))**2)] }
-
-
-
-def A027271():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(6*x**2))/(1-(6*x**2))**2)] }
-
-
-
-def A027281():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(4*x)+1)/(1-x-(4*x**2))**2)] }
-
-
-
-def A027286():
- x = SR.var('x')
- return { 'ogf': [(((3*x**2)+(2*x)+1)/(1-x-(4*x**2))**2)] }
-
-
-
-def A027383():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A027468():
- x = SR.var('x')
- return { 'ogf': [((9*x)/(1-x)**3)] }
-
-
-
-def A027469():
- x = SR.var('x')
- return { 'ogf': [((49*x**3)/(1-x)**3)] }
-
-
-
-def A027470():
- x = SR.var('x')
- return { 'ogf': [((225*((1-(3*x))+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A027471():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)))**2] }
-
-
-
-def A027472():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)))**3] }
-
-
-
-def A027474():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(7*x))**3)] }
-
-
-
-def A027480():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(x-1)**4)] }
-
-
-
-def A027482():
- x = SR.var('x')
- return { 'ogf': [((x**2*(7+(4*x)+x**2))/(1-x)**5)] }
-
-
-
-def A027540():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-3)+(5*x)))/(((2*x)-1)**2*(x-1)**3))] }
-
-
-
-def A027556():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-x)*(1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A027558():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4)/(((2*x)-1)*((2*x**2)-1)*((x**2+x)-1))))] }
-
-
-
-def A027559():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2)-x**3)+x**4)/((1-x-x**2)*(1-(3*x**2))))] }
-
-
-
-def A027561():
- x = SR.var('x')
- return { 'ogf': [((2*x**5)/((1-(2*x))*(1-x-x**2)*(1-(3*x**2))))] }
-
-
-
-def A027562():
- x = SR.var('x')
- return { 'ogf': [((2*x**6)/((1-(2*x))*(1-(3*x**2))*((1-x-(2*x**2))+x**3)))] }
-
-
-
-def A027575():
- x = SR.var('x')
- return { 'ogf': [((2*((7-(6*x))+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A027578():
- x = SR.var('x')
- return { 'ogf': [((5*((6-(7*x))+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A027599():
- x = SR.var('x')
- return { 'ogf': [((2*((3-(8*x))+(8*x**2)))/(1-x)**3)] }
-
-
-
-def A027602():
- x = SR.var('x')
- return { 'ogf': [((9*(1+x**2))/(1-x)**4)] }
-
-
-
-def A027603():
- x = SR.var('x')
- return { 'ogf': [(-((4*((((-9)+(11*x))-(10*x**2))+(2*x**3)))/(1-x)**4))] }
-
-
-
-def A027604():
- x = SR.var('x')
- return { 'ogf': [((5*(((20-(35*x))+(28*x**2))-(7*x**3)))/(1-x)**4)] }
-
-
-
-def A027618():
- x = SR.var('x')
- return { 'ogf': [(((3/sqrt(((1-(6*x))+x**2)))-(1/(1-x)))/2)] }
-
-
-
-def A027620():
- x = SR.var('x')
- return { 'ogf': [(((9-(4*x))+x**2)/(x-1)**4)] }
-
-
-
-def A027621():
- x = SR.var('x')
- return { 'ogf': [(((((-(16/((-1)+x)))-(24/((-1)+x)**5))+(16/((-1)+x)**2))-(16/((-1)+x)**3))+(18/((-1)+x)**4))] }
-
-
-
-def A027625():
- x = SR.var('x')
- return { 'ogf': [((((-(2*x**8))-x**7-x**6)+(4*x**5)+(3*x**4)+(4*x**3)+(7*x**2)+x)/(1-x**3)**3)] }
-
-
-
-def A027626():
- x = SR.var('x')
- return { 'ogf': [(((x**8-(2*x**5))+x**4+(2*x**3)+(10*x**2)+(2*x)+1)/(1-x**3)**3)] }
-
-
-
-def A027635():
- x = SR.var('x')
- return { 'ogf': [(((x**2+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A027649():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x))*(1-(3*x))))] }
-
-
-
-def A027650():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A027651():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))*(1-x)**2)/((1-(2*x))*(1-(3*x))*(1-(4*x))*(1-(5*x))))] }
-
-
-
-def A027658():
- x = SR.var('x')
- return { 'ogf': [(-((((x**3-(3*x**2))+(2*x))-1)/(x-1)**6))] }
-
-
-
-def A027660():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(1-x)**6)] }
-
-
-
-def A027670():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(5*x)+(17*x**2)+(7*x**3)))/(1-x)**7)] }
-
-
-
-def A027674():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x**4)+x**2+(2*x))/((x+1)*((((x**4-(2*x**3))+x**2)-(2*x))+1)))] }
-
-
-
-def A027688():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**2)-(4*x))+3)/(x-1)**3))] }
-
-
-
-def A027692():
- x = SR.var('x')
- return { 'ogf': [((((-7)+(12*x))-(7*x**2))/(x-1)**3)] }
-
-
-
-def A027693():
- x = SR.var('x')
- return { 'ogf': [(((2*(7-(4*x))*x)-8)/(x-1)**3)] }
-
-
-
-def A027694():
- x = SR.var('x')
- return { 'ogf': [((((-9)+(16*x))-(9*x**2))/(x-1)**3)] }
-
-
-
-def A027711():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1-(2*x))+x**2+x**3))/(((2*x)-1)*((x**2+x)-1)*((x**2-x)+1)))] }
-
-
-
-def A027764():
- x = SR.var('x')
- return { 'ogf': [(((4+x)*x**3)/(1-x)**6)] }
-
-
-
-def A027765():
- x = SR.var('x')
- return { 'ogf': [(((5+x)*x**4)/(1-x)**7)] }
-
-
-
-def A027766():
- x = SR.var('x')
- return { 'ogf': [(((6+x)*x**5)/(1-x)**8)] }
-
-
-
-def A027767():
- x = SR.var('x')
- return { 'ogf': [(((7+x)*x**6)/(1-x)**9)] }
-
-
-
-def A027768():
- x = SR.var('x')
- return { 'ogf': [(((8+x)*x**7)/(1-x)**10)] }
-
-
-
-def A027769():
- x = SR.var('x')
- return { 'ogf': [(((9+x)*x**8)/(1-x)**11)] }
-
-
-
-def A027770():
- x = SR.var('x')
- return { 'ogf': [(((10+x)*x**9)/(1-x)**12)] }
-
-
-
-def A027771():
- x = SR.var('x')
- return { 'ogf': [(((11+x)*x**10)/(1-x)**13)] }
-
-
-
-def A027772():
- x = SR.var('x')
- return { 'ogf': [(((12+x)*x**11)/(1-x)**14)] }
-
-
-
-def A027773():
- x = SR.var('x')
- return { 'ogf': [(((13+x)*x**12)/(1-x)**15)] }
-
-
-
-def A027774():
- x = SR.var('x')
- return { 'ogf': [(((14+x)*x**13)/(1-x)**16)] }
-
-
-
-def A027775():
- x = SR.var('x')
- return { 'ogf': [((x**14*(15+x))/(1-x)**17)] }
-
-
-
-def A027776():
- x = SR.var('x')
- return { 'ogf': [(((16+x)*x**15)/(1-x)**18)] }
-
-
-
-def A027777():
- x = SR.var('x')
- return { 'ogf': [((2*(3+(2*x))*x**2)/(1-x)**6)] }
-
-
-
-def A027778():
- x = SR.var('x')
- return { 'ogf': [((5*x**3*(2+x))/(1-x)**7)] }
-
-
-
-def A027779():
- x = SR.var('x')
- return { 'ogf': [((3*(5+(2*x))*x**4)/(1-x)**8)] }
-
-
-
-def A027780():
- x = SR.var('x')
- return { 'ogf': [((7*(3+x)*x**5)/(1-x)**9)] }
-
-
-
-def A027781():
- x = SR.var('x')
- return { 'ogf': [((4*(7+(2*x))*x**6)/(1-x)**10)] }
-
-
-
-def A027782():
- x = SR.var('x')
- return { 'ogf': [((9*(4+x)*x**7)/(1-x)**11)] }
-
-
-
-def A027783():
- x = SR.var('x')
- return { 'ogf': [((5*(9+(2*x))*x**8)/(1-x)**12)] }
-
-
-
-def A027785():
- x = SR.var('x')
- return { 'ogf': [((6*(11+(2*x))*x**10)/(1-x)**14)] }
-
-
-
-def A027786():
- x = SR.var('x')
- return { 'ogf': [((13*(6+x)*x**11)/(1-x)**15)] }
-
-
-
-def A027787():
- x = SR.var('x')
- return { 'ogf': [((7*(13+(2*x))*x**12)/(1-x)**16)] }
-
-
-
-def A027788():
- x = SR.var('x')
- return { 'ogf': [((15*(7+x)*x**13)/(1-x)**17)] }
-
-
-
-def A027789():
- x = SR.var('x')
- return { 'ogf': [((2*(2+(3*x))*x)/(1-x)**6)] }
-
-
-
-def A027790():
- x = SR.var('x')
- return { 'ogf': [((10*(1+x)*x**2)/(1-x)**7)] }
-
-
-
-def A027791():
- x = SR.var('x')
- return { 'ogf': [((5*(4+(3*x))*x**3)/(1-x)**8)] }
-
-
-
-def A027792():
- x = SR.var('x')
- return { 'ogf': [((7*(5+(3*x))*x**4)/(1-x)**9)] }
-
-
-
-def A027793():
- x = SR.var('x')
- return { 'ogf': [((28*(2+x)*x**5)/(1-x)**10)] }
-
-
-
-def A027794():
- x = SR.var('x')
- return { 'ogf': [((12*(7+(3*x))*x**6)/(1-x)**11)] }
-
-
-
-def A027795():
- x = SR.var('x')
- return { 'ogf': [((15*(8+(3*x))*x**7)/(1-x)**12)] }
-
-
-
-def A027796():
- x = SR.var('x')
- return { 'ogf': [((55*(3+x)*x**8)/(1-x)**13)] }
-
-
-
-def A027797():
- x = SR.var('x')
- return { 'ogf': [((22*(10+(3*x))*x**9)/(1-x)**14)] }
-
-
-
-def A027798():
- x = SR.var('x')
- return { 'ogf': [((26*(11+(3*x))*x**10)/(1-x)**15)] }
-
-
-
-def A027799():
- x = SR.var('x')
- return { 'ogf': [((91*(4+x)*x**11)/(1-x)**16)] }
-
-
-
-def A027800():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-x)**6)] }
-
-
-
-def A027801():
- x = SR.var('x')
- return { 'ogf': [((5*(1+(2*x))*x)/(1-x)**7)] }
-
-
-
-def A027802():
- x = SR.var('x')
- return { 'ogf': [((5*(3+(4*x))*x**2)/(1-x)**8)] }
-
-
-
-def A027803():
- x = SR.var('x')
- return { 'ogf': [((35*(1+x)*x**3)/(1-x)**9)] }
-
-
-
-def A027804():
- x = SR.var('x')
- return { 'ogf': [((14*(5+(4*x))*x**4)/(1-x)**10)] }
-
-
-
-def A027805():
- x = SR.var('x')
- return { 'ogf': [((42*(3+(2*x))*x**5)/(1-x)**11)] }
-
-
-
-def A027806():
- x = SR.var('x')
- return { 'ogf': [((30*(7+(4*x))*x**6)/(1-x)**12)] }
-
-
-
-def A027807():
- x = SR.var('x')
- return { 'ogf': [((165*(2+x)*x**7)/(1-x)**13)] }
-
-
-
-def A027808():
- x = SR.var('x')
- return { 'ogf': [((55*(9+(4*x))*x**8)/(1-x)**14)] }
-
-
-
-def A027809():
- x = SR.var('x')
- return { 'ogf': [((143*(5+(2*x))*x**9)/(1-x)**15)] }
-
-
-
-def A027810():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-x)**7)] }
-
-
-
-def A027811():
- x = SR.var('x')
- return { 'ogf': [((3*(2+(5*x))*x)/(1-x)**8)] }
-
-
-
-def A027812():
- x = SR.var('x')
- return { 'ogf': [((7*(3+(5*x))*x**2)/(1-x)**9)] }
-
-
-
-def A027813():
- x = SR.var('x')
- return { 'ogf': [((14*(4+(5*x))*x**3)/(1-x)**10)] }
-
-
-
-def A027814():
- x = SR.var('x')
- return { 'ogf': [((126*(1+x)*x**4)/(1-x)**11)] }
-
-
-
-def A027815():
- x = SR.var('x')
- return { 'ogf': [((42*(6+(5*x))*x**5)/(1-x)**12)] }
-
-
-
-def A027816():
- x = SR.var('x')
- return { 'ogf': [((66*(7+(5*x))*x**6)/(1-x)**13)] }
-
-
-
-def A027817():
- x = SR.var('x')
- return { 'ogf': [((99*(8+(5*x))*x**7)/(1-x)**14)] }
-
-
-
-def A027818():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-x)**8)] }
-
-
-
-def A027819():
- x = SR.var('x')
- return { 'ogf': [((7*(1+(3*x))*x)/(1-x)**9)] }
-
-
-
-def A027820():
- x = SR.var('x')
- return { 'ogf': [((28*(1+(2*x))*x**2)/(1-x)**10)] }
-
-
-
-def A027821():
- x = SR.var('x')
- return { 'ogf': [((42*(2+(3*x))*x**3)/(1-x)**11)] }
-
-
-
-def A027822():
- x = SR.var('x')
- return { 'ogf': [((42*(5+(6*x))*x**4)/(1-x)**12)] }
-
-
-
-def A027823():
- x = SR.var('x')
- return { 'ogf': [((462*(1+x)*x**5)/(1-x)**13)] }
-
-
-
-def A027826():
- x = SR.var('x')
- return { 'ogf': [(-((((((2*x**4)-(4*x**2))+(4*x))-1)*((2*x)-1)**3)/((x-1)*((x**2+(2*x))-1)*((((((x**8+(8*x**6))-(8*x**5)-(14*x**4))+(32*x**3))-(24*x**2))+(8*x))-1))))] }
-
-
-
-def A027850():
- x = SR.var('x')
- return { 'ogf': [(((-(71*x**3))-(201*x**2)-(63*x)-1)/((x-1))**5)] }
-
-
-
-def A027865():
- x = SR.var('x')
- return { 'ogf': [((((-55)+(74*x))-(31*x**2))/(x-1)**3)] }
-
-
-
-def A027914():
- x = SR.var('x')
- return { 'ogf': [((1+x+sqrt((1-(2*x)-(3*x**2))))/(2*(1-(2*x)-(3*x**2))))] }
-
-
-
-def A027916():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+2))/((1-x**3)*(1-x)**2))] }
-
-
-
-def A027927():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((1-(3*x))+(5*x**2))-(3*x**3))+x**4))/(1-x)**5)] }
-
-
-
-def A027928():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((1-(3*x))+(5*x**2))-(3*x**3))+x**4))/(1-x)**6)] }
-
-
-
-def A027929():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1-x)+x**2)*((((1-(4*x))+(7*x**2))-(4*x**3))+x**4))/(1-x)**7)] }
-
-
-
-def A027930():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**2-x)+1)*((((x**4-(4*x**3))+(7*x**2))-(4*x))+1))/(x-1)**8)] }
-
-
-
-def A027934():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(2*x))*(1-x-x**2)))] }
-
-
-
-def A027937():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(2*x))+x**2))/(((x**2-(3*x))+1)*(x-1)**2)))] }
-
-
-
-def A027941():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*((1-(3*x))+x**2)))] }
-
-
-
-def A027942():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(5*x))-(2*x**2)))/((1-x)**3*((1-(3*x))+x**2)))] }
-
-
-
-def A027946():
- x = SR.var('x')
- return { 'ogf': [((((2*x**6)-(2*x**5)-(5*x**4))+(4*x**3))/((1-x)*(1-(2*x))*((1+x)-x**2)*(1-x-x**2)))] }
-
-
-
-def A027947():
- x = SR.var('x')
- return { 'ogf': [((x+1)/((x**4-x**3-(2*x**2))+1))] }
-
-
-
-def A027949():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**5-(6*x**4))+(14*x**3))-(14*x**2))+(2*x))-1))/((x-1)**3*((x**2-(3*x))+1)))] }
-
-
-
-def A027950():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((((1-(2*x))+(41*x**2))-(49*x**3))+(44*x**4))-(26*x**5))+(8*x**6))-x**7))/(((1-(3*x))+x**2)*(1-x)**5))] }
-
-
-
-def A027951():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((((((x**9-(10*x**8))+(43*x**7))-(105*x**6))+(162*x**5))-(148*x**4))+(84*x**3))-(92*x**2))+(2*x))-1))/((x-1)**7*((x**2-(3*x))+1)))] }
-
-
-
-def A027953():
- x = SR.var('x')
- return { 'ogf': [(((((1-(2*x))+(7*x**2))-(5*x**3))+x**4)/((x**2-(3*x))+1)/(x-1)**2)] }
-
-
-
-def A027954():
- x = SR.var('x')
- return { 'ogf': [((x*((((((x**6-(7*x**5))+(19*x**4))-(29*x**3))+(25*x**2))-(2*x))+1))/((x-1)**4*((x**2-(3*x))+1)))] }
-
-
-
-def A027955():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((((((x**8-(9*x**7))+(34*x**6))-(71*x**5))+(85*x**4))-(70*x**3))+(63*x**2))-(2*x))+1))/((x-1)**6*((x**2-(3*x))+1)))] }
-
-
-
-def A027958():
- x = SR.var('x')
- return { 'ogf': [((x*((((-(2*x**6))+(6*x**4)+x**3)-(2*x**2)-x)+1))/((1-x**2)*(1-(2*x))*((1+x)-x**2)*(1-x-x**2)))] }
-
-
-
-def A027959():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**4-x**3-x**2)+x+1))/((x-1)*(x+1)*((x**4-x**3-(2*x**2))+1))))] }
-
-
-
-def A027961():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-x)*(1-x-x**2)))] }
-
-
-
-def A027963():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(2*x)))/((1-x)**3*(1-x-x**2)))] }
-
-
-
-def A027964():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+(2*x)))/((1-x)**4*(1-x-x**2)))] }
-
-
-
-def A027965():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3-(2*x))*((1-x)+x**2))/(1-x)**4)] }
-
-
-
-def A027966():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1-x)+x**2+x**3)-x**4))/(1-x)**5)] }
-
-
-
-def A027967():
- x = SR.var('x')
- return { 'ogf': [((x**3*(3-(2*x))*((((1-(3*x))+(5*x**2))-(3*x**3))+x**4))/(1-x)**6)] }
-
-
-
-def A027968():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((1-(3*x))+(4*x**2)+x**3)-(4*x**4))+(3*x**5))-x**6))/(1-x)**7)] }
-
-
-
-def A027969():
- x = SR.var('x')
- return { 'ogf': [((x**4*(3-(2*x))*((1-x)+x**2)*((((1-(4*x))+(7*x**2))-(4*x**3))+x**4))/(1-x)**8)] }
-
-
-
-def A027970():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((x**8-(5*x**7))+(11*x**6))-(10*x**5)-x**4)+(10*x**3))-(11*x**2))+(5*x))-1))/(x-1)**9)] }
-
-
-
-def A027971():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*((2*x)-3)*((((((((x**8-(7*x**7))+(23*x**6))-(44*x**5))+(55*x**4))-(44*x**3))+(23*x**2))-(7*x))+1))/(x-1)**10))] }
-
-
-
-def A027972():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((-1)+(7*x))-(22*x**2))+(37*x**3))-(32*x**4)-x**5)+(32*x**6))-(37*x**7))+(22*x**8))-(7*x**9))+x**10))/(x-1)**11)] }
-
-
-
-def A027974():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(2*x))*(1-x-x**2)))] }
-
-
-
-def A027975():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+1)/((1-x)*(1-x**2-x**3)))] }
-
-
-
-def A027976():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+1)/((1-x**3)*(1-x-x**2)))] }
-
-
-
-def A027978():
- x = SR.var('x')
- return { 'ogf': [((((8*x**3)-(13*x**2))+(5*x)+1)/((x**2-(3*x))+1)**2)] }
-
-
-
-def A027979():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**4)+(7*x**3))-(16*x**2))+(5*x)+1)/((x+1)*((x**2-(3*x))+1)**2))] }
-
-
-
-def A027980():
- x = SR.var('x')
- return { 'ogf': [((((6*x**3)-(12*x**2))+(8*x)+1)/((x+1)*((x**2-(3*x))+1)**2))] }
-
-
-
-def A027981():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(5*x))+(2*x**2))/((x-1)*((-1)+(2*x))**2))] }
-
-
-
-def A027982():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**3)+(9*x**2))-(4*x)-1)/((x-1)**2*((2*x)-1)**2)))] }
-
-
-
-def A027984():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(x+1)*((2*x)+1))/(((x**2-(3*x))+1)*((x**2+x)-1)))] }
-
-
-
-def A027989():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(3*x**2))/((1-(3*x))+x**2)**2)] }
-
-
-
-def A027990():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(2*x**2)+x**3)/((1+x)*((x**2-(3*x))+1)**2))] }
-
-
-
-def A027992():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A027993():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/(((2*x)-1)**2*(x-1)**2))] }
-
-
-
-def A028178():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(5*x))*(1-(6*x))*(1-(10*x))*(1-(12*x))))] }
-
-
-
-def A028230():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-(14*x))+x**2))] }
-
-
-
-def A028242():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)*(1-x**2)))] }
-
-
-
-def A028243():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3)/((-1)+x)/((-1)+(3*x))/((-1)+(2*x))))] }
-
-
-
-def A028244():
- x = SR.var('x')
- return { 'ogf': [((6*x**4)/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A028245():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**5)/((x-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((5*x)-1))))] }
-
-
-
-def A028249():
- x = SR.var('x')
- return { 'ogf': [((1+x**6)/((1-x)*(1-x**3)*(1-x**4)*(1-x**6))),
-(((1-x**2)+x**4)/(((1-x)+x**2)*(1+x)**2*(1+x+x**2)**2*(x-1)**4))] }
-
-
-
-def A028253():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((5*x**4)-(7*x**3))+x**2+x)-1))/(x-1)**2))] }
-
-
-
-def A028270():
- x = SR.var('x')
- return { 'ogf': [((x+1)/sqrt((1-(4*x))))] }
-
-
-
-def A028289():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1+x+x**2)**2*(x-1)**4))] }
-
-
-
-def A028294():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((9*x**5)-(31*x**4)-(49*x**3))+(176*x**2)+(14*x)+1))/(x-1)**6)] }
-
-
-
-def A028295():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((((-133)-(972*x)-(33*x**2))+(604*x**3))-(187*x**4)-(2*x**5))+(3*x**6)))/(x-1)**7)] }
-
-
-
-def A028309():
- x = SR.var('x')
- return { 'ogf': [(((((x**6-x**5)+x**3)-x)+1)/((1-x)**2*(1-x**2)))] }
-
-
-
-def A028310():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/(1-x)**2),
-(1/(1-(x/(1-(x/(1+(x/(1-x))))))))] }
-
-
-
-def A028322():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+1)/sqrt((1-(4*x))))] }
-
-
-
-def A028329():
- x = SR.var('x')
- return { 'ogf': [(2/sqrt((1-(4*x))))] }
-
-
-
-def A028347():
- x = SR.var('x')
- return { 'ogf': [((x**3*(5-(3*x)))/(1-x)**3)] }
-
-
-
-def A028375():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(40*x**2)+(32*x**3)+(38*x**4)+(32*x**5)+(40*x**6)+(8*x**7)+x**8))/((1+x)**2*(x**2+1)**2*(1-x)**3))] }
-
-
-
-def A028387():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/(1-x)**3)] }
-
-
-
-def A028401():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*((1-(5*x))+(5*x**2)))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A028403():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((3*x)-1))/(((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A028447():
- x = SR.var('x')
- return { 'ogf': [((((((-1)+(3*x)+(7*x**2))-(16*x**3)-(14*x**4))+(16*x**5)+(7*x**6))-(3*x**7)-x**8)/((x**2-x-1)*(((((x**8+(7*x**7))-(13*x**6)-(48*x**5))+(28*x**4)+(48*x**3))-(13*x**2)-(7*x))+1)))] }
-
-
-
-def A028448():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((-x**19)+(17*x**18))-(53*x**17)-(383*x**16))+(2051*x**15)+(1155*x**14))-(16891*x**13))+(9523*x**12)+(45157*x**11))-(41065*x**10)-(41065*x**9))+(45157*x**8)+(9523*x**7))-(16891*x**6))+(1155*x**5)+(2051*x**4))-(383*x**3)-(53*x**2))+(17*x))-1)/(((((((((((((x**21-(22*x**20))+(42*x**19)+(990*x**18))-(3493*x**17)-(12199*x**16))+(55858*x**15)+(27106*x**14))-(289337*x**13))+(146481*x**12)+(488514*x**11))-(488514*x**10)-(146481*x**9))+(289337*x**8))-(27106*x**7)-(55858*x**6))+(12199*x**5)+(3493*x**4))-(990*x**3)-(42*x**2))+(22*x))-1))] }
-
-
-
-def A028452():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((((x**18-(446*x**17))+(36701*x**16))-(1267416*x**15))+(22828288*x**14))-(235207768*x**13))+(1443564488*x**12))-(5.338083112E9*x**11))+(1.1818867674E10*x**10))-(1.5460884436E10*x**9))+(1.1818867674E10*x**8))-(5.338083112E9*x**7))+(1443564488*x**6))-(235207768*x**5))+(22828288*x**4))-(1267416*x**3))+(36701*x**2))-(446*x))+1)/((((((((((((((((((((-x**19)+(675*x**18))-(73471*x**17))+(3221189*x**16))-(72583272*x**15))+(925908264*x**14))-(6.971103216E9*x**13))+(3.1523058272E10*x**12))-(8.617152677E10*x**11))+(1.42604534086E11*x**10))-(1.42604534086E11*x**9))+(8.617152677E10*x**8))-(3.1523058272E10*x**7))+(6.971103216E9*x**6))-(925908264*x**5))+(72583272*x**4))-(3221189*x**3))+(73471*x**2))-(675*x))+1))] }
-
-
-
-def A028455():
- x = SR.var('x')
- return { 'ogf': [(((((x**6+(4*x**5))-(4*x**4)-(16*x**3))+(4*x**2)+(4*x))-1)/((((((-x**8)-(8*x**7))+(22*x**6)+(60*x**5))-(67*x**4)-(60*x**3))+(22*x**2)+(8*x))-1))] }
-
-
-
-def A028456():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((((x**4-(16*x**3))+(45*x**2))-(16*x))+1))/((x-1)*((((x**6-(23*x**5)-(50*x**4))+(405*x**3))-(50*x**2)-(23*x))+1))))] }
-
-
-
-def A028464():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((x**12-(1639*x**11))+(96397*x**10))-(1989840*x**9))+(17959907*x**8))-(72515033*x**7))+(117260158*x**6))-(72515033*x**5))+(17959907*x**4))-(1989840*x**3))+(96397*x**2))-(1639*x))+1)/(((((((((((((x**13-(2759*x**12))+(325448*x**11))-(10121602*x**10))+(125374286*x**9))-(684055000*x**8))+(1622518920*x**7))-(1622518920*x**6))+(684055000*x**5))-(125374286*x**4))+(10121602*x**3))-(325448*x**2))+(2759*x))-1)))] }
-
-
-
-def A028468():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(((x**4+(2*x**3))-(3*x**2)-(2*x))+1))/((x-1)*(1+x)*(((x**3-(5*x**2))+(6*x))-1)*(x**3+(6*x**2)+(5*x)+1))))] }
-
-
-
-def A028469():
- x = SR.var('x')
- return { 'ogf': [(((((((((-x**7)+(35*x**6))-(277*x**5))+(727*x**4))-(727*x**3))+(277*x**2))-(35*x))+1)/((((((((x**8-(56*x**7))+(672*x**6))-(2632*x**5))+(4094*x**4))-(2632*x**3))+(672*x**2))-(56*x))+1))] }
-
-
-
-def A028470():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(43*x**2)-(26*x**3))+(360*x**4)+(110*x**5))-(1033*x**6))+(1033*x**8))-(110*x**9)-(360*x**10))+(26*x**11)+(43*x**12))-x**14)/((((((((1-x-(76*x**2)-(69*x**3))+(921*x**4)+(584*x**5))-(4019*x**6)-(829*x**7))+(7012*x**8))-(829*x**9)-(4019*x**10))+(584*x**11)+(921*x**12))-(69*x**13)-(76*x**14)-x**15)+x**16))] }
-
-
-
-def A028471():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((1-(154*x))+(6777*x**2))-(123961*x**3))+(1132714*x**4))-(5684515*x**5))+(16401668*x**6))-(27757938*x**7))+(27757938*x**8))-(16401668*x**9))+(5684515*x**10))-(1132714*x**11))+(123961*x**12))-(6777*x**13))+(154*x**14))-x**15)/((((((((((((((((1-(209*x))+(11936*x**2))-(274208*x**3))+(3112032*x**4))-(19456019*x**5))+(70651107*x**6))-(152325888*x**7))+(196664896*x**8))-(152325888*x**9))+(70651107*x**10))-(19456019*x**11))+(3112032*x**12))-(274208*x**13))+(11936*x**14))-(209*x**15))+x**16))] }
-
-
-
-def A028472():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((1-(197*x**2)-(214*x**3))+(9741*x**4)+(7262*x**5))-(202037*x**6)-(56736*x**7))+(2064705*x**8))-(156848*x**9)-(11058754*x**10))+(2972710*x**11)+(32425754*x**12))-(10324398*x**13)-(54699758*x**14))+(15137114*x**15)+(54699758*x**16))-(10324398*x**17)-(32425754*x**18))+(2972710*x**19)+(11058754*x**20))-(156848*x**21)-(2064705*x**22)-(56736*x**23))+(202037*x**24)+(7262*x**25))-(9741*x**26)-(214*x**27))+(197*x**28))-x**30)/((((((((((((((((1-x-(285*x**2)-(411*x**3))+(18027*x**4)+(20689*x**5))-(472275*x**6)-(271027*x**7))+(6149853*x**8)+(471319*x**9))-(42303393*x**10))+(10402780*x**11)+(157353820*x**12))-(58545372*x**13)-(335484428*x**14))+(123321948*x**15)+(429447820*x**16))-(123321948*x**17)-(335484428*x**18))+(58545372*x**19)+(157353820*x**20))-(10402780*x**21)-(42303393*x**22)-(471319*x**23))+(6149853*x**24)+(271027*x**25))-(472275*x**26)-(20689*x**27))+(18027*x**28)+(411*x**29))-(285*x**30))+x**31+x**32))] }
-
-
-
-def A028477():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+(2*x**3))-(4*x**2)-(2*x))+1)/((((x**6+(4*x**5))-(16*x**4)-(6*x**3))+(16*x**2)+(4*x))-1)))] }
-
-
-
-def A028478():
- x = SR.var('x')
- return { 'ogf': [((((((((x**7-(42*x**6))+(364*x**5))-(1001*x**4))+(1001*x**3))-(364*x**2))+(42*x))-1)/(((((((((-x**8)+(71*x**7))-(952*x**6))+(3976*x**5))-(6384*x**4))+(3976*x**3))-(952*x**2))+(71*x))-1))] }
-
-
-
-def A028479():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**7-(5*x**6)-(21*x**5))+(41*x**4)+(41*x**3))-(21*x**2)-(5*x))+1)/(((((x**9-(7*x**8)-(56*x**7))+(104*x**6)+(280*x**5))-(280*x**4)-(104*x**3))+(56*x**2)+(7*x))-1)))] }
-
-
-
-def A028480():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((x**15-(189*x**14))+(9585*x**13))-(194987*x**12))+(1937034*x**11))-(10357902*x**10))+(31195513*x**9))-(53951967*x**8))+(53951967*x**7))-(31195513*x**6))+(10357902*x**5))-(1937034*x**4))+(194987*x**3))-(9585*x**2))+(189*x))-1)/(((((((((((((((((-x**16)+(265*x**15))-(17736*x**14))+(457655*x**13))-(5699687*x**12))+(38357160*x**11))-(146975161*x**10))+(327381265*x**9))-(427427424*x**8))+(327381265*x**7))-(146975161*x**6))+(38357160*x**5))-(5699687*x**4))+(457655*x**3))-(17736*x**2))+(265*x))-1))] }
-
-
-
-def A028481():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**16+(8*x**15))-(130*x**14)-(320*x**13))+(3030*x**12)+(1910*x**11))-(16645*x**10)-(5140*x**9))+(27980*x**8)+(5140*x**7))-(16645*x**6)-(1910*x**5))+(3030*x**4)+(320*x**3))-(130*x**2)-(8*x))+1)/((((((((((x**18+(10*x**17))-(235*x**16)-(588*x**15))+(8165*x**14)+(6430*x**13))-(72855*x**12)-(40880*x**11))+(199465*x**10)+(70490*x**9))-(199465*x**8)-(40880*x**7))+(72855*x**6)+(6430*x**5))-(8165*x**4)-(588*x**3))+(235*x**2)+(10*x))-1)))] }
-
-
-
-def A028483():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**25-(16*x**24)-(540*x**23))+(3599*x**22)+(59509*x**21))-(155952*x**20)-(1748333*x**19))+(2806163*x**18)+(17912016*x**17))-(22606315*x**16)-(73250609*x**15))+(79653348*x**14)+(121223311*x**13))-(121223311*x**12)-(79653348*x**11))+(73250609*x**10)+(22606315*x**9))-(17912016*x**8)-(2806163*x**7))+(1748333*x**6)+(155952*x**5))-(59509*x**4)-(3599*x**3))+(540*x**2)+(16*x))-1)/((((((((((((((x**27-(18*x**26)-(828*x**25))+(5679*x**24)+(123246*x**23))-(376038*x**22)-(5123214*x**21))+(10491426*x**20)+(74277630*x**19))-(117477618*x**18)-(431411706*x**17))+(555869106*x**16)+(1065927888*x**15))-(1154210706*x**14)-(1154210706*x**13))+(1065927888*x**12)+(555869106*x**11))-(431411706*x**10)-(117477618*x**9))+(74277630*x**8)+(10491426*x**7))-(5123214*x**6)-(376038*x**5))+(123246*x**4)+(5679*x**3))-(828*x**2)-(18*x))+1)))] }
-
-
-
-def A028495():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x/(1-(x/(1+(x/(1+(x/(1-x))))))))))] }
-
-
-
-def A028552():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-x))/(1-x)**3)] }
-
-
-
-def A028560():
- x = SR.var('x')
- return { 'ogf': [((x*(7-(5*x)))/(1-x)**3)] }
-
-
-
-def A028563():
- x = SR.var('x')
- return { 'ogf': [((2*x*(4-(3*x)))/(1-x)**3)] }
-
-
-
-def A028566():
- x = SR.var('x')
- return { 'ogf': [((x*(9-(7*x)))/(1-x)**3)] }
-
-
-
-def A028569():
- x = SR.var('x')
- return { 'ogf': [((2*x*(5-(4*x)))/(1-x)**3)] }
-
-
-
-def A028723():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+x+x**2))/((1-x)**5*(1+x)**3))] }
-
-
-
-def A028724():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+x+x**2))/(x-1)**4/(x+1)**3)] }
-
-
-
-def A028725():
- x = SR.var('x')
- return { 'ogf': [((x**6*(x**4+(2*x**3)+(4*x**2)+(2*x)+1))/((x-1)**6*(x+1)**5))] }
-
-
-
-def A028860():
- x = SR.var('x')
- return { 'ogf': [(-((1-(3*x))/(1-(2*x)-(2*x**2))))] }
-
-
-
-def A028878():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(3-(2*x)))/(1-x)**3)] }
-
-
-
-def A028881():
- x = SR.var('x')
- return { 'ogf': [((x**3*((2+(3*x))-(3*x**2)))/(1-x)**3)] }
-
-
-
-def A028884():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(5*x))+(4*x**2))/(x-1)**3)] }
-
-
-
-def A028892():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3-(2*x**2)-x)+1)/(((x**2+x)-1)*((2*x**2)-1))))] }
-
-
-
-def A028895():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(1-x)**3)] }
-
-
-
-def A028896():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(1-x)**3)] }
-
-
-
-def A028919():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(3+(2*x)+x**2+x**3))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A028993():
- x = SR.var('x')
- return { 'ogf': [(-(((7*x**2)+(24*x)+1)/(x-1)**3))] }
-
-
-
-def A028994():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((11*x)+5))/(x-1)**3))] }
-
-
-
-def A029011():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**5)*(1-x**6)))] }
-
-
-
-def A029012():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**5)*(1-x**7)))] }
-
-
-
-def A029137():
- x = SR.var('x')
- return { 'ogf': [(1/((x-1)**4*(x+1)**2*(x**2+1)*(x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A029153():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**3)*(1-x**6)*(1-x**10)))] }
-
-
-
-def A029177():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**4)*(1-x**5)*(1-x**12)))] }
-
-
-
-def A029278():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**3)*(1-x**5)*(1-x**7)*(1-x**8)))] }
-
-
-
-def A029341():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**4)*(1-x**5)*(1-x**9)*(1-x**10)))] }
-
-
-
-def A029549():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(((1-(35*x))+(35*x**2))-x**3))] }
-
-
-
-def A029579():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**3)/(1-x**2)**2)] }
-
-
-
-def A029739():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1)*(x**2+1))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A029744():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/(1-(2*x**2)))] }
-
-
-
-def A029745():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(6*x**2)+x**3)/(1-(2*x**2)))] }
-
-
-
-def A029746():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(2*x**2)+(3*x**3))/(1-(2*x**2)))] }
-
-
-
-def A029747():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)**2/(1-(2*x**3)))] }
-
-
-
-def A029748():
- x = SR.var('x')
- return { 'ogf': [(-((x**5+(2*x**4)+(2*x**3)+(3*x**2)+(2*x)+1)/((2*x**3)-1)))] }
-
-
-
-def A029749():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**4)+(3*x**3)+(4*x**2)+(2*x)+1)/((2*x**3)-1)))] }
-
-
-
-def A029750():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)**2*(x**2+1)**2)/((2*x**4)-1)))] }
-
-
-
-def A029759():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(2*x))*sqrt((1-(4*x)))))] }
-
-
-
-def A029887():
- x = SR.var('x')
- return { 'ogf': [((((4*x)-1)+sqrt((1-(4*x))))/(2*x*(1-(4*x))**3))] }
-
-
-
-def A029906():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)**2*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A029907():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/(1-x-x**2)**2)] }
-
-
-
-def A029929():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((((x**7-(2*x**6)-(2*x**5))+x**4)-(6*x**3))+(3*x**2)+(2*x))-1))/((x-1)**3*(x+1)**2*((2*x)-1)**2))] }
-
-
-
-def A029941():
- x = SR.var('x')
- return { 'ogf': [((((((((((9*x**12)-(21*x**11))+(26*x**10)+(121*x**9))-(149*x**8))+(132*x**7)+(20*x**6)+(68*x**5))-(61*x**4))+(89*x**3))-(6*x**2))+(11*x)+1)/((x-1)**8*(x+1)**4*(x**2+1)**2*(x**4+1)))] }
-
-
-
-def A030112():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x-x**2)*(((1+(4*x))-(4*x**2)-x**3)+x**4))/((((1-(4*x)-(10*x**2))+(10*x**3)+(15*x**4))-(6*x**5)-(7*x**6))+x**7+x**8))] }
-
-
-
-def A030113():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-x**7-(7*x**6))+(6*x**5)+(15*x**4))-(10*x**3)-(10*x**2))+(4*x)+1)/(((((x**9-x**8-(8*x**7))+(7*x**6)+(21*x**5))-(15*x**4)-(20*x**3))+(10*x**2)+(5*x))-1)))] }
-
-
-
-def A030114():
- x = SR.var('x')
- return { 'ogf': [(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-1))))))))))))))))))))] }
-
-
-
-def A030115():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((x**3-x**2-(2*x))+1)*(((x**6+x**5)-(6*x**4)-(6*x**3))+(8*x**2)+(8*x)+1))/((((((x**11-x**10-(10*x**9))+(9*x**8)+(36*x**7))-(28*x**6)-(56*x**5))+(35*x**4)+(35*x**3))-(15*x**2)-(6*x))+1)))] }
-
-
-
-def A030116():
- x = SR.var('x')
- return { 'ogf': [(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-(1/((-x)-1))))))))))))))))))))))))] }
-
-
-
-def A030117():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((2*x**3)+(5*x**2)+(5*x)+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A030118():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(3*x**2))-x**3)/(((1-x)+x**2)*(1-x)**2))] }
-
-
-
-def A030119():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(3*x**2))-x**3)/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A030123():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((3*x**2)-(3*x)-7))/((x-1)**2*(x+1))))] }
-
-
-
-def A030132():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-x-(2*x**2)-(3*x**3)-(5*x**4)-(8*x**5)-(4*x**6)-(3*x**7)-(7*x**8)-x**9-(8*x**10)-(9*x**11)-(8*x**12)-(8*x**13)-(7*x**14)-(6*x**15)-(4*x**16)-x**17-(5*x**18)-(6*x**19)-(2*x**20)-(8*x**21)-x**22-(9*x**23)))/((x-1)*(1+x+x**2)*(1+x)*((1-x)+x**2)*(1+x**2)*((x**4-x**2)+1)*(1+x**4)*((x**8-x**4)+1)))] }
-
-
-
-def A030186():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(3*x)-x**2)+x**3))] }
-
-
-
-def A030191():
- x = SR.var('x')
- return { 'ogf': [(1/(5*((x**2-x)+(1/5)))),
-(1/(1-((5*x)/(1+(x/(1-x))))))] }
-
-
-
-def A030192():
- x = SR.var('x')
- return { 'ogf': [(1/(6*((x**2-x)+(1/6))))] }
-
-
-
-def A030195():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)-(3*x**2))),
-(x/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A030221():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((x**2-(5*x))+1))] }
-
-
-
-def A030236():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(2*x**2))-(2*x**3))/(((1-(3*x))+x**2)-x**3))] }
-
-
-
-def A030240():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(7*x))+(7*x**2)))] }
-
-
-
-def A030267():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((1-(3*x))+x**2)**2)] }
-
-
-
-def A030279():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**3*(1+x)*(((1-(2*x))+(4*x**2))-x**3))/(((1-(4*x))+(2*x**2))-x**3)**3)] }
-
-
-
-def A030280():
- x = SR.var('x')
- return { 'ogf': [((1-x)**6/(((1-(4*x))+(3*x**2))-x**3)**3)] }
-
-
-
-def A030434():
- x = SR.var('x')
- return { 'ogf': [(((((-42)+(153*x))-(196*x**2))+(93*x**3))/(x-1)**4)] }
-
-
-
-def A030439():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-(2*x)-1))/((x-1)*(x+1)*((3*x**2)-1))))] }
-
-
-
-def A030440():
- x = SR.var('x')
- return { 'ogf': [(((1+(13*x**2))-(2*x**3)-(4*x))/(x-1)**4)] }
-
-
-
-def A030441():
- x = SR.var('x')
- return { 'ogf': [(((((15*x**3)-(18*x**2))+(15*x))-4)/(x-1)**4)] }
-
-
-
-def A030442():
- x = SR.var('x')
- return { 'ogf': [(-((((((386*x**4)-(1136*x**3))+(1361*x**2))-(758*x))+163)/(x-1)**5))] }
-
-
-
-def A030451():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-x**2)/((1-x)*(1-x**2)))] }
-
-
-
-def A030452():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**2+(3*x)+1))/((x**4-(15*x**2))+1)))] }
-
-
-
-def A030511():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*(1+x))/((1+x+x**2)*(x-1)**3)))] }
-
-
-
-def A030533():
- x = SR.var('x')
- return { 'ogf': [((((x**2-x)+1)*(x**2+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A030535():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((x**16-(7*x**15))+(63*x**14))-(161*x**13))+(1394*x**12))-(307*x**11))+(7665*x**10)+(987*x**9)+(13498*x**8)+(987*x**7)+(7665*x**6))-(307*x**5))+(1394*x**4))-(161*x**3))+(63*x**2))-(7*x))+1)/((x-1)**16*(x+1)**8))] }
-
-
-
-def A030538():
- x = SR.var('x')
- return { 'ogf': [(-((((((684*x**4)-(777*x**3))+(254*x**2))-(29*x))+1)/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1))))] }
-
-
-
-def A030539():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(x*(124-(3*x*(1656+(x*((-26752)+(x*(179183+(40*x*((-11513)+(8736*x))))))))))))/(((-1)+x)*((-1)+(2*x))*((-1)+(4*x))*((-1)+(8*x))*((-1)+(16*x))*((-1)+(32*x))*((-1)+(64*x))))] }
-
-
-
-def A030647():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**4+(9*x**3)+(19*x**2)+(9*x)+1))/(x-1)**16)] }
-
-
-
-def A030653():
- x = SR.var('x')
- return { 'ogf': [((x*(((4+(7*x))-(8*x**2))+(3*x**3)))/(1-x)**4)] }
-
-
-
-def A030654():
- x = SR.var('x')
- return { 'ogf': [((x*(((8+(425*x)+(5167*x**2)+(14525*x**3)+(14651*x**4)+(5083*x**5)+(461*x**6))-x**7)+x**8))/(1-x)**9)] }
-
-
-
-def A030978():
- x = SR.var('x')
- return { 'ogf': [((x*((((2*x**5)-(4*x**4))+(3*x**2))-(2*x)-1))/((x-1)**3*(x+1)))] }
-
-
-
-def A030983():
- x = SR.var('x')
- return { 'ogf': [(x**3*(3-(2*x)))] }
-
-
-
-def A031138():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((1-x)*((x**2-(10*x))+1)))] }
-
-
-
-def A031149():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((4*x**13)+(7*x**12)+(13*x**11)+(16*x**10)+(57*x**9)+(38*x**8)+(19*x**7))-(16*x**6)-(13*x**5)-(7*x**4)-(4*x**3)-(3*x**2)-(2*x)-1))/((x**14-(38*x**7))+1)))] }
-
-
-
-def A031150():
- x = SR.var('x')
- return { 'ogf': [((x*(x**10+(2*x**9)+(4*x**8)+(5*x**7)+(18*x**6)+(12*x**5)+(6*x**4)+(5*x**3)+(4*x**2)+(2*x)+1))/((x**14-(38*x**7))+1))] }
-
-
-
-def A031164():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)*(1-x**2))**4)] }
-
-
-
-def A031506():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)-x**3)/(((1-(4*x))+(4*x**2))-x**3))] }
-
-
-
-def A031711():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1087*x)+1091))/(x-1)**3))] }
-
-
-
-def A031740():
- x = SR.var('x')
- return { 'ogf': [((2*x*(481+(480*x)))/(1-x)**3)] }
-
-
-
-def A031923():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(2*x)+(2*x**2)+(4*x**3)+(4*x**4))-(2*x**6)-(1*x**7)-(4*x**8)-(3*x**9)-x**10-x**11-(2*x**12)-x**13))/((1-x)*(1+x)*(1+x**2)*(1-x-x**2)*(1+(3*x**4)+x**8)))] }
-
-
-
-def A031940():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(2*x)+x**2)-x**3)+x**4))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A032086():
- x = SR.var('x')
- return { 'ogf': [((3*x*((1-(2*x)-(3*x**2))+(9*x**3)))/((1-(3*x))*(1-(3*x**2))))] }
-
-
-
-def A032087():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((-(5*x))+2)-(8*x**2))+(32*x**3)))/(((2*x)+1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A032088():
- x = SR.var('x')
- return { 'ogf': [((5*x*((1-(3*x)-(5*x**2))+(25*x**3)))/((1-(5*x))*(1-(5*x**2))))] }
-
-
-
-def A032089():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x-(2*x**2))+(2*x**3)+x**6))/((1-x)*(1+x)*(1-x-x**2)*(1-x**2-x**4)))] }
-
-
-
-def A032090():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((x**6+x**5)-x**4)+(2*x**3))-(2*x**2)-x)+1))/((x-1)*((x**2+x)-1)*((x**4+x**2)-1))))] }
-
-
-
-def A032091():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**6)/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A032092():
- x = SR.var('x')
- return { 'ogf': [((x**7*(3+x**2))/((1-x)**6*(1+x)**3))] }
-
-
-
-def A032093():
- x = SR.var('x')
- return { 'ogf': [(-((x**8*(x**2+3))/((x-1)**7*(x+1)**3)))] }
-
-
-
-def A032094():
- x = SR.var('x')
- return { 'ogf': [((4*x**9*(1+x**2))/((1-x)**8*(1+x)**4))] }
-
-
-
-def A032096():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(5*x)-(4*x**2))+(15*x**3)))/((1-x)*(1-(3*x))*(1-(3*x**2))))] }
-
-
-
-def A032097():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**5-(4*x**4))+x**3+(9*x**2))-(8*x))+2))/((x-1)*((x**2-(3*x))+1)*((x**2+x)-1)))] }
-
-
-
-def A032098():
- x = SR.var('x')
- return { 'ogf': [((3*x*((1-(5*x))+(7*x**2)))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A032099():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(3*x))+(5*x**3))-(3*x**5))+x**6))/((1-x)**2*(1-x-x**2)*((1+x)-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A032100():
- x = SR.var('x')
- return { 'ogf': [((((((3*x**6)-(4*x**5))+(11*x**4)+(2*x**3))-(3*x**2)-(2*x))+1)/((1-(3*x))*(1-(3*x**2))*(1-x)**2))] }
-
-
-
-def A032120():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1-x-(3*x**2)))/((1-(3*x))*(1-(3*x**2))))] }
-
-
-
-def A032121():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-(3*x)-(8*x**2)))/(((2*x)+1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A032122():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(10*x)-(25*x**2)))/((1-(5*x)-(5*x**2))+(25*x**3)))] }
-
-
-
-def A032124():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((9*x**2)+x)-2))/(((3*x)-1)*((3*x**2)-1))))] }
-
-
-
-def A032125():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((-1)+(3*x)))/(((4*x)-1)*((2*x)-1))))] }
-
-
-
-def A032126():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-(5*x**2))+1))/(((x**2-(3*x))+1)*(x**2-x-1)*((x**2+x)-1)))] }
-
-
-
-def A032127():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((3*x**4)+(5*x**3)+(6*x**2))-x-1))/(((3*x)-1)*((3*x**2)-1))))] }
-
-
-
-def A032180():
- x = SR.var('x')
- return { 'ogf': [((120*x**6)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)))] }
-
-
-
-def A032191():
- x = SR.var('x')
- return { 'ogf': [((x**6*((1-x)+x**2+(4*x**3)+(2*x**4)+(3*x**6)+x**7+x**8))/((1-x)**2*(1-x**2)**2*(1-x**3)*(1-x**6)))] }
-
-
-
-def A032192():
- x = SR.var('x')
- return { 'ogf': [((x**7*((((((1-(5*x))+(13*x**2))-(17*x**3))+(13*x**4))-(5*x**5))+x**6))/((1-x)**6*(1-x**7)))] }
-
-
-
-def A032193():
- x = SR.var('x')
- return { 'ogf': [((x**8*((((((((1-(3*x))+(5*x**2)+(3*x**3))-(4*x**4))+(4*x**5)+(6*x**6))-(4*x**7))+(7*x**8))-x**9)+x**10+x**11))/((1-x)**4*(1-x**2)**2*(1-x**4)*(1-x**8)))] }
-
-
-
-def A032194():
- x = SR.var('x')
- return { 'ogf': [((x**9*((((((((((((1-(5*x))+(14*x**2))-(18*x**3))+(21*x**4))-(21*x**5))+(25*x**6))-(21*x**7))+(21*x**8))-(18*x**9))+(14*x**10))-(5*x**11))+x**12))/((1-x)**6*(1-x**3)**2*(1-x**9)))] }
-
-
-
-def A032195():
- x = SR.var('x')
- return { 'ogf': [((x**10*((((((1-(3*x))+(4*x**2)+(12*x**3))-(8*x**4)-x**5)+(31*x**6))-(4*x**8))+(16*x**9)+(11*x**10)+(3*x**11)+(8*x**12)+(4*x**13)+(4*x**14)+x**15+x**16))/((1-x)**4*(1-x**2)**4*(1-x**5)*(1-x**10)))] }
-
-
-
-def A032196():
- x = SR.var('x')
- return { 'ogf': [((x**11*((((((((((1-(9*x))+(41*x**2))-(109*x**3))+(191*x**4))-(229*x**5))+(191*x**6))-(109*x**7))+(41*x**8))-(9*x**9))+x**10))/((1-x)**10*(1-x**11)))] }
-
-
-
-def A032260():
- x = SR.var('x')
- return { 'ogf': [(((4*x)/(1-(4*x))**(3/2))-((2*x*(1+x))/(1-x)**3))] }
-
-
-
-def A032263():
- x = SR.var('x')
- return { 'ogf': [((3*x**4)/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A032279():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+(2*x**3))-x**5)+x**6)/((1-x)**2*(1-x**2)**2*(1-x**5)))] }
-
-
-
-def A032280():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*(((((4*x**6)-(2*x**5)-(2*x**4))+(4*x**3)+x**2)-(2*x))+1))/((x-1)**7*(x+1)**3*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A032343():
- x = SR.var('x')
- return { 'ogf': [((x**2+x)/((x-1)**3*((10*x)-1)))] }
-
-
-
-def A032351():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(3*x**2)+(x**2*sqrt((1-(4*x)))))/(((1-(6*x))+(8*x**2))-(4*x**3)))] }
-
-
-
-def A032438():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+(2*x)+3))/(1-x**2)**2/(1-x))] }
-
-
-
-def A032525():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x**2)+(8*x)+3))/((x-1)**3*(x+1))))] }
-
-
-
-def A032526():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(3*x)+x**2))/((1+x)*(1-x)**3))] }
-
-
-
-def A032527():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/(((1-(2*x))+(2*x**3))-x**4))] }
-
-
-
-def A032528():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**2)+x**3)/(((1-(2*x))+(2*x**3))-x**4))] }
-
-
-
-def A032765():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x**2))-x**3))/((1+x+x**2)*(1-x)**3))] }
-
-
-
-def A032766():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-x)*(1-x**2)))] }
-
-
-
-def A032768():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x)*((2-x)+(2*x**2)))/((1-x)**5*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A032769():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A032775():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+(2*x**3)+x**4+x**5))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A032793():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A032796():
- x = SR.var('x')
- return { 'ogf': [((x*(x**5+x**4+(2*x**3)+x**2+x+1))/((1-x)*(1-x**5)))] }
-
-
-
-def A032908():
- x = SR.var('x')
- return { 'ogf': [(((2-(6*x))+(3*x**2))/((1-x)*((1-(3*x))+x**2))),
-((1/(1-x))+((1-(2*x))/((1-(3*x))+x**2)))] }
-
-
-
-def A033077():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)+(4*x**5)+(5*x**6)+(1*x**8)+(2*x**9))*x)/((1-(6*x**5)-(1*x**10))+(6*x**15)))] }
-
-
-
-def A033113():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+x)*(1-(3*x))))] }
-
-
-
-def A033114():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1+x)*(1-(4*x))))] }
-
-
-
-def A033115():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1+x)*(1-(5*x))))] }
-
-
-
-def A033116():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(6*x))*(1+x)))] }
-
-
-
-def A033117():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(7*x))*(1+x)))] }
-
-
-
-def A033118():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x**2)*(1-(8*x))))] }
-
-
-
-def A033119():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((9*x)-1)*(1+x)))] }
-
-
-
-def A033120():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)*(1-(2*x))*(1+x+x**2)))] }
-
-
-
-def A033122():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/((1-x)*(1-(4*x))*(1+x+x**2)))] }
-
-
-
-def A033124():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1))/((x-1)*((6*x)-1)*(x**2+x+1)))] }
-
-
-
-def A033126():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1))/((x-1)*((8*x)-1)*(x**2+x+1)))] }
-
-
-
-def A033127():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1))/((x-1)*((9*x)-1)*(x**2+x+1)))] }
-
-
-
-def A033128():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A033129():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*(1-(2*x))*(1+x+x**2)))] }
-
-
-
-def A033131():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A033132():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1))/((x-1)*((5*x)-1)*(x**2+x+1)))] }
-
-
-
-def A033135():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A033136():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A033137():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A033138():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**3)*(1-(2*x))))] }
-
-
-
-def A033139():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))*(1-x**3)))] }
-
-
-
-def A033140():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A033141():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A033142():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x**3)*(1-(6*x))))] }
-
-
-
-def A033144():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((8*x)-1)*(x**2+x+1)))] }
-
-
-
-def A033145():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A033146():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**3)*(1-(10*x))))] }
-
-
-
-def A033175():
- x = SR.var('x')
- return { 'ogf': [((1+(20*x))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A033183():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**4)*(1-x**9)))] }
-
-
-
-def A033190():
- x = SR.var('x')
- return { 'ogf': [(((((-x**4)+(6*x**3))-(5*x**2))+x)/(((1-(3*x))+x**2)*((1-(5*x))+(5*x**2))))] }
-
-
-
-def A033191():
- x = SR.var('x')
- return { 'ogf': [(((((1-(7*x))+(15*x**2))-(10*x**3))+x**4)/((((1-(8*x))+(21*x**2))-(20*x**3))+(5*x**4))),
-(1/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-x))))))))))))))))] }
-
-
-
-def A033192():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-x**2-(2*x))+1))/((1+x)*((1-(3*x))+x**2)*(1-x-x**2)))] }
-
-
-
-def A033193():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-(7*x**3))+(11*x**2))-(6*x))+1)/(((1-(3*x))+x**2)*((1-(5*x))+(5*x**2))))] }
-
-
-
-def A033275():
- x = SR.var('x')
- return { 'ogf': [((x**5*((5-(4*x))+x**2))/(1-x)**5)] }
-
-
-
-def A033276():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((14-(14*x))+(6*x**2))-x**3))/(1-x)**7)] }
-
-
-
-def A033277():
- x = SR.var('x')
- return { 'ogf': [((x**7*((((42-(48*x))+(27*x**2))-(8*x**3))+x**4))/(1-x)**9)] }
-
-
-
-def A033278():
- x = SR.var('x')
- return { 'ogf': [((x**8*(((((132-(165*x))+(110*x**2))-(44*x**3))+(10*x**4))-x**5))/(1-x)**11)] }
-
-
-
-def A033279():
- x = SR.var('x')
- return { 'ogf': [((x**9*((((((429-(572*x))+(429*x**2))-(208*x**3))+(65*x**4))-(12*x**5))+x**6))/(1-x)**13)] }
-
-
-
-def A033297():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt((1-(4*x))))/(2*(1+x)))] }
-
-
-
-def A033305():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+x)*((((x**4-(2*x**3))+x**2)-(2*x))+1)))] }
-
-
-
-def A033321():
- x = SR.var('x')
- return { 'ogf': [(2/(1+x+sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A033428():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+x))/(1-x)**3)] }
-
-
-
-def A033429():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1+x))/(1-x)**3)] }
-
-
-
-def A033430():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(4*x)+x**2))/(x-1)**4)] }
-
-
-
-def A033431():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A033437():
- x = SR.var('x')
- return { 'ogf': [((x**5+x**4+x**3+x**2)/((1-x**5)*(1-x)**2))] }
-
-
-
-def A033438():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x+x**3+x**4+x**2))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**3)))] }
-
-
-
-def A033439():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*((x**2-x)+1)*(x**2+x+1))/((x-1)**3*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A033440():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**6+x**5+x**4+x**3+x**2+x+1))/((x-1)**3*(x+1)*(x**2+1)*(x**4+1))))] }
-
-
-
-def A033441():
- x = SR.var('x')
- return { 'ogf': [((x*((1/(1-x))-(1/(1-x**9))))/(1-x)**2),
-(-((x**2*(x+1)*(x**2+1)*(x**4+1))/((x-1)**3*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A033442():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**2+x+1)*(x**6+x**3+1))/((x-1)**3*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A033443():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))/((x-1)**3*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A033444():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1))/((x-1)**3*(x+1)*((x**2-x)+1)*(x**2+1)*(x**2+x+1)*((x**4-x**2)+1))))] }
-
-
-
-def A033445():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(11*x**2))-(2*x**3))/(1-x)**4)] }
-
-
-
-def A033453():
- x = SR.var('x')
- return { 'ogf': [((x+1)/(((1-(4*x))+(2*x**2))-x**3))] }
-
-
-
-def A033455():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/(1-x)**6)] }
-
-
-
-def A033484():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A033486():
- x = SR.var('x')
- return { 'ogf': [((12*x)/(1-x)**5)] }
-
-
-
-def A033487():
- x = SR.var('x')
- return { 'ogf': [(-((6*x)/(x-1)**5))] }
-
-
-
-def A033488():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(1-x)**5)] }
-
-
-
-def A033505():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x)-x**2)+x**3))] }
-
-
-
-def A033506():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-x**2)*((1+x)-x**2))/((1+x)*(((1-(5*x)-(9*x**2))+(9*x**3)+x**4)-x**5)))] }
-
-
-
-def A033507():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((1-(3*x)-(18*x**2))+(2*x**3)+(12*x**4)+x**5)-x**6))/(((((1-(9*x)-(41*x**2))+(41*x**3)+(111*x**4))-(91*x**5)-(29*x**6))+(23*x**7)+x**8)-x**9))] }
-
-
-
-def A033509():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((((((1-(23*x)-(311*x**2))+(3891*x**3)+(12057*x**4))-(218447*x**5))+(315889*x**6)+(2997721*x**7))-(8754480*x**8)-(13467571*x**9))+(66016499*x**10)+(14684235*x**11))-(240612231*x**12))+(56233657*x**13)+(496137395*x**14))-(207743591*x**15)-(612805499*x**16))+(303976032*x**17)+(458919487*x**18))-(249194245*x**19)-(206819317*x**20))+(123372421*x**21)+(54160427*x**22))-(37223601*x**23)-(7443809*x**24))+(6708699*x**25)+(338040*x**26))-(686517*x**27))+(29377*x**28)+(36273*x**29))-(3521*x**30)-(861*x**31))+(109*x**32)+(7*x**33))-x**34)/((((((((((((((((((((1-(36*x)-(576*x**2))+(6080*x**3)+(42422*x**4))-(453004*x**5)-(443404*x**6))+(12931566*x**7))-(25517604*x**8)-(83558644*x**9))+(295510396*x**10)+(154307596*x**11))-(1335612340*x**12))+(274712602*x**13)+(3.235975264E9*x**14))-(1630080704*x**15)-(4.669345206E9*x**16))+(2.978277152E9*x**17)+(4.169343006E9*x**18))-(2.919950172E9*x**19)-(2.310327672E9*x**20))+(1717916424*x**21)+(777289050*x**22))-(626694028*x**23)-(149620588*x**24))+(141424642*x**25)+(13835164*x**26))-(19237868*x**27)-(94620*x**28))+(1503868*x**29))-(81796*x**30)-(62874*x**31))+(5736*x**32)+(1224*x**33))-(138*x**34)-(8*x**35))+x**36))] }
-
-
-
-def A033515():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(2*x))-1)/(((-x**4)+(9*x**2)+(6*x))-1))] }
-
-
-
-def A033516():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-(3*x**3)-(4*x**2))+(7*x))-1)/((((x**6-(2*x**5)-(18*x**4))+(46*x**3))-(6*x**2)-(14*x))+1)))] }
-
-
-
-def A033517():
- x = SR.var('x')
- return { 'ogf': [(((((x**6+(2*x**5))-(21*x**4)-(36*x**3))+(9*x**2)+(14*x))-1)/((((((-x**8)-(3*x**7))+(40*x**6)+(119*x**5))-(159*x**4)-(209*x**3))+(76*x**2)+(25*x))-1))] }
-
-
-
-def A033518():
- x = SR.var('x')
- return { 'ogf': [((((((((x**11-(3*x**10)-(60*x**9))+(252*x**8)+(153*x**7))-(1427*x**6))+(771*x**5)+(1007*x**4))-(452*x**3)-(84*x**2))+(35*x))-1)/(((((((((-x**13)+(5*x**12)+(90*x**11))-(424*x**10)-(1420*x**9))+(6022*x**8)+(1276*x**7))-(14388*x**6))+(5806*x**5)+(5076*x**4))-(2616*x**3))+(66*x**2)+(53*x))-1))] }
-
-
-
-def A033519():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**16+(5*x**15))-(144*x**14)-(917*x**13))+(2525*x**12)+(18314*x**11))-(9907*x**10)-(81619*x**9))+(18056*x**8)+(116675*x**7))-(14719*x**6)-(49054*x**5)-(187*x**4))+(4457*x**3))-(20*x**2)-(69*x))+1)/((((((((((x**18+(6*x**17))-(210*x**16)-(1164*x**15))+(10306*x**14)+(54922*x**13))-(76144*x**12)-(470662*x**11))+(132726*x**10)+(1274736*x**9)+(24246*x**8))-(1032670*x**7)-(58000*x**6))+(244690*x**5)+(158*x**4))-(15844*x**3))+(722*x**2)+(98*x))-1)))] }
-
-
-
-def A033520():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((((((x**28-(15*x**27)-(284*x**26))+(5183*x**25)+(5371*x**24))-(366892*x**23))+(814436*x**22)+(8226936*x**21))-(29920872*x**20)-(57862312*x**19))+(331173012*x**18))-(7873260*x**17)-(1396434310*x**16))+(1211992974*x**15)+(1877432864*x**14))-(2.719474366E9*x**13)-(471197866*x**12))+(1952262300*x**11))-(397859476*x**10)-(507235480*x**9))+(186066152*x**8)+(41696904*x**7))-(22010724*x**6))+(36860*x**5)+(598453*x**4))-(36831*x**3)-(2052*x**2))+(159*x))-1)/((((((((((((((((((x**30-(14*x**29)-(430*x**28))+(6634*x**27)+(38158*x**26))-(871958*x**25))+(1251837*x**24)+(29038240*x**23))-(101668292*x**22)-(290911416*x**21))+(1623376452*x**20)+(319719232*x**19))-(9.632041694E9*x**18))+(7.238239524E9*x**17)+(2.1683751232E10*x**16))-(2.697830626E10*x**15)-(1.7795407872E10*x**14))+(3.4467592724E10*x**13)+(1093570370*x**12))-(1.7442114832E10*x**11))+(3.542012836E9*x**10)+(3.43555972E9*x**9))-(1062456996*x**8)-(223403632*x**7))+(95033757*x**6))-(1202342*x**5)-(1914226*x**4))+(150650*x**3)+(338*x**2))-(206*x))+1)))] }
-
-
-
-def A033526():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((-x**22)+(2*x**21)+(105*x**20))-(408*x**19)-(2333*x**18))+(11980*x**17)+(12081*x**16))-(112640*x**15))+(25122*x**14)+(435060*x**13))-(292630*x**12)-(741024*x**11))+(647902*x**10)+(512680*x**9))-(535258*x**8)-(85184*x**7))+(168951*x**6))-(24902*x**5)-(12107*x**4))+(3384*x**3))-(57*x**2)-(36*x))+1)/((((((((((((((x**24-(4*x**23)-(148*x**22))+(636*x**21)+(5486*x**20))-(25774*x**19)-(66616*x**18))+(377290*x**17)+(207927*x**16))-(2210908*x**15))+(370396*x**14)+(5950068*x**13))-(2989756*x**12)-(7411696*x**11))+(5362636*x**10)+(3624000*x**9))-(3734313*x**8)-(139824*x**7))+(897064*x**6))-(240512*x**5)-(5090*x**4))+(7406*x**3))-(292*x**2)-(58*x))+1))] }
-
-
-
-def A033537():
- x = SR.var('x')
- return { 'ogf': [((x*(7-(3*x)))/(1-x)**3)] }
-
-
-
-def A033539():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-x**2)+(3*x**3))/((x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A033544():
- x = SR.var('x')
- return { 'ogf': [((3*x*(((2*x**3)-(11*x**2))+(16*x)+9))/(x-1)**6)] }
-
-
-
-def A033547():
- x = SR.var('x')
- return { 'ogf': [((2*x*((x**2-x)+1))/(1-x)**4)] }
-
-
-
-def A033550():
- x = SR.var('x')
- return { 'ogf': [((((2-(8*x))+(11*x**2))-(4*x**3))/(((1-(3*x))+x**2)*(1-x)**2))] }
-
-
-
-def A033562():
- x = SR.var('x')
- return { 'ogf': [(1+((x*((3+(5*x)+(5*x**2))-x**3))/(1-x)**4))] }
-
-
-
-def A033569():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(7*x)+(6*x**2))/(1-x)**3)] }
-
-
-
-def A033579():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(8*x)))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A033580():
- x = SR.var('x')
- return { 'ogf': [((4*x*(2+x))/(1-x)**3)] }
-
-
-
-def A033581():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+x))/(1-x)**3)] }
-
-
-
-def A033586():
- x = SR.var('x')
- return { 'ogf': [((4*x*(3+x))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A033592():
- x = SR.var('x')
- return { 'ogf': [((1+(355*x)+(1675*x**2)+(825*x**3)+(24*x**4))/(1-x)**5)] }
-
-
-
-def A033593():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(115*x**2)-(345*x**3)-(120*x**4))+(5*x))/(x-1)**5)] }
-
-
-
-def A033596():
- x = SR.var('x')
- return { 'ogf': [((3*((1-(5*x))+(11*x**2)+x**3))/(1-x)**5)] }
-
-
-
-def A033622():
- x = SR.var('x')
- return { 'ogf': [((((8*x**4)+(2*x**3))-(8*x**2)-(4*x)-1)/((x-1)*((2*x)+1)*((2*x)-1)*((2*x**2)-1)))] }
-
-
-
-def A033627():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2+x**3))/(1-x)**2)] }
-
-
-
-def A033638():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**3)/((1-x)**2*(1-x**2)))] }
-
-
-
-def A033691():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*((x**5-(2*x**4))+x**3+1))/((x-1)**3*(x+1)*(x**2+1))))] }
-
-
-
-def A033714():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((100*x**2)-(11*x))+1))/((x-1)*((10*x)-1)**2)))] }
-
-
-
-def A033811():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A033813():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(3*x)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A033814():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(4*x)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A033816():
- x = SR.var('x')
- return { 'ogf': [(((3-x)+(2*x**2))/(1-x)**3)] }
-
-
-
-def A033817():
- x = SR.var('x')
- return { 'ogf': [((x*(7-(11*x)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A033818():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(4*x)))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A033887():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(4*x)-x**2))] }
-
-
-
-def A033888():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(7*x))+x**2))] }
-
-
-
-def A033890():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(7*x))+x**2))] }
-
-
-
-def A033891():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-(7*x))+x**2))] }
-
-
-
-def A033937():
- x = SR.var('x')
- return { 'ogf': [((2+x)/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A033951():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(2*x**2))/(1-x)**3)] }
-
-
-
-def A033954():
- x = SR.var('x')
- return { 'ogf': [((x*(7+x))/(1-x)**3)] }
-
-
-
-def A033960():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A033991():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(5*x)))/(1-x)**3)] }
-
-
-
-def A033994():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/(1-x)**4)] }
-
-
-
-def A033996():
- x = SR.var('x')
- return { 'ogf': [((8*x)/(1-x)**3)] }
-
-
-
-def A033999():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x))] }
-
-
-
-def A034007():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(2*x)))**2] }
-
-
-
-def A034008():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(2*x)))] }
-
-
-
-def A034009():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-x)**2)**2)] }
-
-
-
-def A034164():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-(1-(9*x))**(1/3))/(3*x)**2)] }
-
-
-
-def A034171():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(9*x))**(-(1/3)))/(3*x))] }
-
-
-
-def A034182():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((1-x)*(1-(2*x)-x**2)))] }
-
-
-
-def A034184():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**8-x**7-(2*x**6)-(9*x**5))+(14*x**4))-(11*x**3)-(6*x**2))+(5*x)+1))/((x-1)*((x**2+(2*x))-1)*(((((x**6-(7*x**5))+x**4+(6*x**3))-(11*x**2))+(7*x))-1))))] }
-
-
-
-def A034198():
- x = SR.var('x')
- return { 'ogf': [(((-x**5)+x**3+x**2)/((1-x)**2*(1-x**2)*(1-x**3)))] }
-
-
-
-def A034263():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-x)**6)] }
-
-
-
-def A034265():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-x)**8)] }
-
-
-
-def A034266():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)))/(1-x)**9)] }
-
-
-
-def A034299():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**2)/(1-x-(2*x**2)))] }
-
-
-
-def A034324():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+x**2+(6*x**3)))/(1-x)**4)] }
-
-
-
-def A034357():
- x = SR.var('x')
- return { 'ogf': [(((((((-x**15)+(2*x**14))-x**13)+x**12+x**9)-x**7)+x**4+x**3)/((1-x)**3*(1-x**2)*(1-x**3)**2*(1-x**4)*(1-x**7)))] }
-
-
-
-def A034472():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(2*x)))/((1-x)*(1-(3*x))))] }
-
-
-
-def A034474():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(5*x))))] }
-
-
-
-def A034478():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A034488():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((36*x**3)-(47*x**2))+(18*x))-2))/((x-1)*((2*x)-1)*((3*x)-1)*((6*x)-1))))] }
-
-
-
-def A034491():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(7*x))))] }
-
-
-
-def A034494():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A034496():
- x = SR.var('x')
- return { 'ogf': [((((4-(45*x))+(140*x**2))-(120*x**3))/((1-(8*x))*(1-(4*x))*(1-(2*x))*(1-x)))] }
-
-
-
-def A034513():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(3*x)))+(1/(1-(9*x))))] }
-
-
-
-def A034517():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((90*x**3)-(97*x**2))+(27*x))-2))/((x-1)*((2*x)-1)*((5*x)-1)*((10*x)-1))))] }
-
-
-
-def A034524():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(11*x))))] }
-
-
-
-def A034583():
- x = SR.var('x')
- return { 'ogf': [(-(((8*x**7)+(8*x**6)+(8*x**5)+(8*x**4)+(4*x**3)+(4*x**2)+(2*x)+1)/((((2*x**2)-(2*x))+1)*((2*x**2)-1)*((2*x**2)+1)*((2*x**2)+(2*x)+1))))] }
-
-
-
-def A034584():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**3+x**7))/((1-x)*(1-x**8)))] }
-
-
-
-def A034659():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A034660():
- x = SR.var('x')
- return { 'ogf': [((((((6-(140*x))+(1148*x**2))-(4200*x**3))+(6888*x**4))-(4032*x**5))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))*(1-(6*x))*(1-(12*x))))] }
-
-
-
-def A034661():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(2*x)))+(1/(1-(3*x)))+(1/(1-(6*x)))+(1/(1-(9*x)))+(1/(1-(18*x))))] }
-
-
-
-def A034662():
- x = SR.var('x')
- return { 'ogf': [(-((6*((((((2800*x**5)-(4060*x**4))+(1974*x**3))-(406*x**2))+(35*x))-1))/((x-1)*((2*x)-1)*((4*x)-1)*((5*x)-1)*((10*x)-1)*((20*x)-1))))] }
-
-
-
-def A034663():
- x = SR.var('x')
- return { 'ogf': [(-((4*((((168*x**3)-(131*x**2))+(24*x))-1))/((x-1)*((3*x)-1)*((7*x)-1)*((21*x)-1))))] }
-
-
-
-def A034664():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((((((414720*x**7)-(792000*x**6))+(574560*x**5))-(206696*x**4))+(39900*x**3))-(4125*x**2))+(210*x))-4))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((6*x)-1)*((8*x)-1)*((12*x)-1)*((24*x)-1))))] }
-
-
-
-def A034665():
- x = SR.var('x')
- return { 'ogf': [(-((3*((((((21504*x**5)-(27776*x**4))+(11160*x**3))-(1736*x**2))+(105*x))-2))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1)*((32*x)-1))))] }
-
-
-
-def A034666():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((25474176*x**8)-(49533120*x**7))+(36978120*x**6))-(13929552*x**5))+(2901990*x**4))-(342390*x**3))+(22295*x**2))-(728*x))+9)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((6*x)-1)*((9*x)-1)*((12*x)-1)*((18*x)-1)*((36*x)-1))))] }
-
-
-
-def A034667():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((((((2880000*x**7)-(4712000*x**6))+(2797200*x**5))-(793128*x**4))+(116550*x**3))-(8835*x**2))+(315*x))-4))/((x-1)*((2*x)-1)*((4*x)-1)*((5*x)-1)*((8*x)-1)*((10*x)-1)*((20*x)-1)*((40*x)-1))))] }
-
-
-
-def A034669():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((((((10536960*x**7)-(15915200*x**6))+(8406720*x**5))-(2047656*x**4))+(250200*x**3))-(15225*x**2))+(420*x))-4))/((x-1)*((2*x)-1)*((4*x)-1)*((7*x)-1)*((8*x)-1)*((14*x)-1)*((28*x)-1)*((56*x)-1))))] }
-
-
-
-def A034688():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(-(1/5))] }
-
-
-
-def A034721():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(15*x**2)+(6*x**3))/(1-x)**4)] }
-
-
-
-def A034803():
- x = SR.var('x')
- return { 'ogf': [((((((x**8-(2*x**7))+(3*x**6))-x**5)+(2*x**3))-1)/((x**9+x**6+(3*x**3))-1))] }
-
-
-
-def A034804():
- x = SR.var('x')
- return { 'ogf': [((((((-x**7)+(2*x**6))-(2*x**5))+(2*x**4))-(2*x**3)-x)/((x**9+x**6+(3*x**3))-1))] }
-
-
-
-def A034827():
- x = SR.var('x')
- return { 'ogf': [((2*x**4)/(1-x)**5)] }
-
-
-
-def A034828():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2))/((1-x)**2*(1-x**2)**2))] }
-
-
-
-def A034857():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)+(10*x))-(12*x**2))+(4*x**3)))/(1-x)**4)] }
-
-
-
-def A034943():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(((1-(3*x))+(2*x**2))-x**3)),
-(1+(x/(1-(x/(1-(x/(1-(x/(1+(x/(1-x)))))))))))] }
-
-
-
-def A034967():
- x = SR.var('x')
- return { 'ogf': [((45*x)/((10*x)-1)**2)] }
-
-
-
-def A034999():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(3*x)))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A035005():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(3+(2*x)))/(1-x)**4)] }
-
-
-
-def A035006():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(2+x))/(1-x)**4)] }
-
-
-
-def A035008():
- x = SR.var('x')
- return { 'ogf': [((16*x)/(1-x)**3)] }
-
-
-
-def A035011():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+x**2)/(2*x*(1-x)))-(sqrt(((1-(6*x))+x**2))/(2*x)))] }
-
-
-
-def A035029():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**2/(8*x**2*sqrt(((1-(6*x))+x**2))))-((1+x)/(8*x**2)))] }
-
-
-
-def A035038():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-(2*x))*(1-x)**6))] }
-
-
-
-def A035039():
- x = SR.var('x')
- return { 'ogf': [(x**7/((1-(2*x))*(1-x)**7))] }
-
-
-
-def A035040():
- x = SR.var('x')
- return { 'ogf': [(x**8/((1-(2*x))*(1-x)**8))] }
-
-
-
-def A035041():
- x = SR.var('x')
- return { 'ogf': [(x**9/((1-(2*x))*(1-x)**9))] }
-
-
-
-def A035042():
- x = SR.var('x')
- return { 'ogf': [(x**10/((1-(2*x))*(1-x)**10))] }
-
-
-
-def A035104():
- x = SR.var('x')
- return { 'ogf': [(((3*x**3)-x**2-(2*x)-1)/((x-1)**3*(x+1)))] }
-
-
-
-def A035106():
- x = SR.var('x')
- return { 'ogf': [(x+((x**2*((-2)+x))/((1+x)*(x-1)**3))),
-((x*(((x**4-(2*x**3))+x**2)-1))/((x-1)**3*(x+1)))] }
-
-
-
-def A035107():
- x = SR.var('x')
- return { 'ogf': [((((2*x**3)-(4*x**2))+3)/((x-1)**4*(x+1)))] }
-
-
-
-def A035174():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(24*x)+(2048*x**2)))] }
-
-
-
-def A035286():
- x = SR.var('x')
- return { 'ogf': [((4*x**3*((x**2+x)-8))/(x-1)**5)] }
-
-
-
-def A035287():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+(4*x)+x**2))/(1-x)**5)] }
-
-
-
-def A035288():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*(x+1)*(x+2))/(x-1)**5))] }
-
-
-
-def A035289():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((((4*x**3)-(8*x**2))+x)-3))/(x-1)**5)] }
-
-
-
-def A035290():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*(x+1)*((x**3-(5*x**2))+(7*x)+3))/(x-1)**5))] }
-
-
-
-def A035291():
- x = SR.var('x')
- return { 'ogf': [((8*x**3*(2+x))/(1-x)**5)] }
-
-
-
-def A035302():
- x = SR.var('x')
- return { 'ogf': [((x-(4*x**2))/(((1-(2*x))+(4*x**2))-(4*x**3)))] }
-
-
-
-def A035328():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(6*x)+x**2))/(1-x)**4)] }
-
-
-
-def A035471():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(22*x**2)+(4*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A035472():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x)+x**2)*(1+(14*x**2)+x**4))/(1-x)**6)] }
-
-
-
-def A035473():
- x = SR.var('x')
- return { 'ogf': [((x**8+(8*x**7)+(28*x**6)+(56*x**5)+(326*x**4)+(56*x**3)+(28*x**2)+(8*x)+1)/(x-1)**8)] }
-
-
-
-def A035474():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(6*x)+1)*(((((x**8+(4*x**7)+(20*x**6))-(4*x**5))+(214*x**4))-(4*x**3))+(20*x**2)+(4*x)+1))/(x-1)**10)] }
-
-
-
-def A035475():
- x = SR.var('x')
- return { 'ogf': [(((x**4+(4*x**3)+(22*x**2)+(4*x)+1)*(((((x**8+(8*x**7)+(12*x**6))-(8*x**5))+(230*x**4))-(8*x**3))+(12*x**2)+(8*x)+1))/(x-1)**12)] }
-
-
-
-def A035476():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(6*x)+1)*(((((x**12+(8*x**11)+(42*x**10)+(104*x**9)+(335*x**8))-(112*x**7))+(3340*x**6))-(112*x**5))+(335*x**4)+(104*x**3)+(42*x**2)+(8*x)+1))/(x-1)**14)] }
-
-
-
-def A035508():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/((1-x)*((1-(3*x))+x**2)))] }
-
-
-
-def A035597():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x+1)**2)/(x-1)**4)] }
-
-
-
-def A035598():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**3)/(1-x)**5)] }
-
-
-
-def A035599():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**4)/(1-x)**6)] }
-
-
-
-def A035600():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**5)/(1-x)**7)] }
-
-
-
-def A035601():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**6)/(1-x)**8)] }
-
-
-
-def A035602():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**7)/(1-x)**9)] }
-
-
-
-def A035603():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**8)/(1-x)**10)] }
-
-
-
-def A035604():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**9)/(1-x)**11)] }
-
-
-
-def A035605():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**10)/(1-x)**12)] }
-
-
-
-def A035606():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)**11)/(1-x)**13)] }
-
-
-
-def A035608():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1+x)*(1-x)**3))] }
-
-
-
-def A035610():
- x = SR.var('x')
- return { 'ogf': [(3/(1+(2*sqrt((1-(12*x))))))] }
-
-
-
-def A035613():
- x = SR.var('x')
- return { 'ogf': [((x*(1111111-(1111000*x)-(90*x**2)-(8*x**3)-x**4-x**5-x**6-(3*x**7)))/(1-x))] }
-
-
-
-def A035707():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**12] }
-
-
-
-def A035717():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**22] }
-
-
-
-def A035718():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**23] }
-
-
-
-def A035719():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**24] }
-
-
-
-def A035729():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**34] }
-
-
-
-def A035735():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**40] }
-
-
-
-def A035737():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**42] }
-
-
-
-def A035741():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x))**46] }
-
-
-
-def A035837():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**10+(120*x**9)+(2905*x**8)+(24320*x**7)+(84580*x**6)+(128864*x**5)+(84580*x**4)+(24320*x**3)+(2905*x**2)+(120*x)+1))/(x-1)**11))] }
-
-
-
-def A035838():
- x = SR.var('x')
- return { 'ogf': [((x**12+(144*x**11)+(4356*x**10)+(48400*x**9)+(245025*x**8)+(627264*x**7)+(853776*x**6)+(627264*x**5)+(245025*x**4)+(48400*x**3)+(4356*x**2)+(144*x)+1)/(x-1)**12)] }
-
-
-
-def A035839():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**12+(168*x**11)+(5916*x**10)+(75880*x**9)+(435345*x**8)+(1221024*x**7)+(1723632*x**6)+(1221024*x**5)+(435345*x**4)+(75880*x**3)+(5916*x**2)+(168*x)+1))/(x-1)**13))] }
-
-
-
-def A035840():
- x = SR.var('x')
- return { 'ogf': [((x**14+(196*x**13)+(8281*x**12)+(132496*x**11)+(1002001*x**10)+(4008004*x**9)+(9018009*x**8)+(11778624*x**7)+(9018009*x**6)+(4008004*x**5)+(1002001*x**4)+(132496*x**3)+(8281*x**2)+(196*x)+1)/(x-1)**14)] }
-
-
-
-def A035841():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**14+(224*x**13)+(10801*x**12)+(196224*x**11)+(1667001*x**10)+(7351008*x**9)+(17699017*x**8)+(23710208*x**7)+(17699017*x**6)+(7351008*x**5)+(1667001*x**4)+(196224*x**3)+(10801*x**2)+(224*x)+1))/(x-1)**15))] }
-
-
-
-def A035877():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(10*x**2)+(2*x**3)+x**4)/((1-x**2))**2)] }
-
-
-
-def A035878():
- x = SR.var('x')
- return { 'ogf': [((x**8+(36*x**6)+(32*x**5)+(118*x**4)+(32*x**3)+(36*x**2)+1)/((x-1)**4*(x+1)**4))] }
-
-
-
-def A035879():
- x = SR.var('x')
- return { 'ogf': [((x**12+(66*x**10)+(32*x**9)+(687*x**8)+(480*x**7)+(1564*x**6)+(480*x**5)+(687*x**4)+(32*x**3)+(66*x**2)+1)/((x-1)**6*(x+1)**6))] }
-
-
-
-def A035881():
- x = SR.var('x')
- return { 'ogf': [((x**20+(190*x**18)+(4845*x**16)+(512*x**15)+(43880*x**14)+(23040*x**13)+(187410*x**12)+(107520*x**11)+(313780*x**10)+(107520*x**9)+(187410*x**8)+(23040*x**7)+(43880*x**6)+(512*x**5)+(4845*x**4)+(190*x**2)+1)/((x-1)**10*(x+1)**10))] }
-
-
-
-def A035882():
- x = SR.var('x')
- return { 'ogf': [((x**24+(276*x**22)+(10626*x**20)+(136644*x**18)+(24576*x**17)+(870639*x**16)+(450560*x**15)+(2975016*x**14)+(1622016*x**13)+(4596508*x**12)+(1622016*x**11)+(2975016*x**10)+(450560*x**9)+(870639*x**8)+(24576*x**7)+(136644*x**6)+(10626*x**4)+(276*x**2)+1)/((x-1)**12*(x+1)**12))] }
-
-
-
-def A035883():
- x = SR.var('x')
- return { 'ogf': [((x**28+(378*x**26)+(20475*x**24)+(376740*x**22)+(8192*x**21)+(3222793*x**20)+(745472*x**19)+(16104998*x**18)+(8200192*x**17)+(46822139*x**16)+(24600576*x**15)+(68231544*x**14)+(24600576*x**13)+(46822139*x**12)+(8200192*x**11)+(16104998*x**10)+(745472*x**9)+(3222793*x**8)+(8192*x**7)+(376740*x**6)+(20475*x**4)+(378*x**2)+1)/((x-1)**14*(x+1)**14))] }
-
-
-
-def A035884():
- x = SR.var('x')
- return { 'ogf': [((x**32+(496*x**30)+(35960*x**28)+(906192*x**26)+(10551068*x**24)+(524288*x**23)+(68444400*x**22)+(18350080*x**21)+(285430600*x**20)+(143130624*x**19)+(733841744*x**18)+(374865920*x**17)+(1022804550*x**16)+(374865920*x**15)+(733841744*x**14)+(143130624*x**13)+(285430600*x**12)+(18350080*x**11)+(68444400*x**10)+(524288*x**9)+(10551068*x**8)+(906192*x**6)+(35960*x**4)+(496*x**2)+1)/((x-1)**16*(x+1)**16))] }
-
-
-
-def A035927():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x)**10)-(1/(1-x)))] }
-
-
-
-def A036068():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(3*x))**(-3))/(x*3**2))] }
-
-
-
-def A036070():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(4*x))**(-4))/(x*4**2))] }
-
-
-
-def A036071():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(5*x))**5)] }
-
-
-
-def A036083():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(5*x))**(-5))/(x*5**2))] }
-
-
-
-def A036084():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(6*x))**6)] }
-
-
-
-def A036085():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(x**6+(120*x**5)+(1191*x**4)+(2416*x**3)+(1191*x**2)+(120*x)+1))/(x-1)**8)] }
-
-
-
-def A036086():
- x = SR.var('x')
- return { 'ogf': [(-(((x**6+(246*x**5)+(4047*x**4)+(11572*x**3)+(4047*x**2)+(246*x)+1)*(1+x)**2)/(x-1)**9))] }
-
-
-
-def A036087():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(x**8+(502*x**7)+(14608*x**6)+(88234*x**5)+(156190*x**4)+(88234*x**3)+(14608*x**2)+(502*x)+1))/(x-1)**10)] }
-
-
-
-def A036088():
- x = SR.var('x')
- return { 'ogf': [(-(((x**8+(1012*x**7)+(46828*x**6)+(408364*x**5)+(901990*x**4)+(408364*x**3)+(46828*x**2)+(1012*x)+1)*(1+x)**2)/(x-1)**11))] }
-
-
-
-def A036090():
- x = SR.var('x')
- return { 'ogf': [(-(((x**10+(4082*x**9)+(474189*x**8)+(9713496*x**7)+(56604978*x**6)+(105907308*x**5)+(56604978*x**4)+(9713496*x**3)+(474189*x**2)+(4082*x)+1)*(1+x)**2)/(x-1)**13))] }
-
-
-
-def A036092():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)**2*(x**12+(16368*x**11)+(4520946*x**10)+(193889840*x**9)+(2.377852335E9*x**8)+(1.0465410528E10*x**7)+(1.7505765564E10*x**6)+(1.0465410528E10*x**5)+(2.377852335E9*x**4)+(193889840*x**3)+(4520946*x**2)+(16368*x)+1))/(x-1)**15))] }
-
-
-
-def A036117():
- x = SR.var('x')
- return { 'ogf': [((((1+x+(2*x**2)+(4*x**3))-(3*x**4))+(6*x**5))/((1-x)*(1+x)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A036119():
- x = SR.var('x')
- return { 'ogf': [((((((1+(2*x)+(6*x**2)+x**3+(3*x**4))-(8*x**5))+(10*x**6))-(4*x**7))+(6*x**8))/((1-x)*(1+x**8)))] }
-
-
-
-def A036120():
- x = SR.var('x')
- return { 'ogf': [((((((1+x+(2*x**2)+(4*x**3)+(8*x**4))-(3*x**5)-(6*x**6))+(7*x**7))-(5*x**8))+(10*x**9))/((1-x)*(1+x)*((x**2-x)+1)*((x**6-x**3)+1)))] }
-
-
-
-def A036122():
- x = SR.var('x')
- return { 'ogf': [(((((((((-1)-x-(2*x**2)-(4*x**3)-(8*x**4))+(13*x**5))-(3*x**6)-(6*x**7)-(12*x**8))+(5*x**9)+(10*x**10))-(9*x**11))+(11*x**12))-(7*x**13)-(15*x**14))/((x-1)*(x**2+1)*((((((x**12-x**10)+x**8)-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A036124():
- x = SR.var('x')
- return { 'ogf': [(((((((((((-1)-x-(2*x**2)-(4*x**3)-(8*x**4)-(16*x**5))+(5*x**6)+(10*x**7))-(17*x**8))+(3*x**9)+(6*x**10)+(12*x**11))-(13*x**12))+(11*x**13))-(15*x**14))+(7*x**15)+(14*x**16))-(9*x**17)-(19*x**18))/((x-1)*(x**2+1)*((x**4-x**2)+1)*((x**12-x**6)+1)))] }
-
-
-
-def A036216():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x))**4)] }
-
-
-
-def A036217():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x))**5)] }
-
-
-
-def A036219():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x))**6)] }
-
-
-
-def A036220():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x))**7)] }
-
-
-
-def A036221():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x))**8)] }
-
-
-
-def A036222():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x))**9)] }
-
-
-
-def A036223():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x))**10)] }
-
-
-
-def A036224():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(6*x))**(-6))/(x*6**2))] }
-
-
-
-def A036226():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(7*x))**7)] }
-
-
-
-def A036239():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-(5*x)))/((((1-(10*x))+(35*x**2))-(50*x**3))+(24*x**4)))] }
-
-
-
-def A036240():
- x = SR.var('x')
- return { 'ogf': [((4*x**3*(((43*x**2)-(25*x))+3))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((7*x)-1)*((8*x)-1)))] }
-
-
-
-def A036256():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)*((1-(2*x))+sqrt((1-(4*x**2))))))] }
-
-
-
-def A036289():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(1-(2*x))**2)] }
-
-
-
-def A036290():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((3*x)-1)**2)] }
-
-
-
-def A036291():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(1-(5*x))**2)] }
-
-
-
-def A036293():
- x = SR.var('x')
- return { 'ogf': [((7*x)/((7*x)-1)**2)] }
-
-
-
-def A036353():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(198*x)+x**2))/((1-x)*((1-(9602*x))+x**2)))] }
-
-
-
-def A036404():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((x**2-x)+1)**2)/((x**4+x**3+x**2+x+1)*(x-1)**3)))] }
-
-
-
-def A036405():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((x**2-x)+1)*((((x**4-x**3)+x**2)-x)+1))/((x**6+x**5+x**4+x**3+x**2+x+1)*(1-x)**3))] }
-
-
-
-def A036406():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-x-x**3)+x**2+x**4))/((1+x)*(1+x**2)*(x-1)**3)))] }
-
-
-
-def A036407():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((((((((x**8-(2*x**7))+(2*x**6))-x**5)+x**4)-x**3)+(2*x**2))-(2*x))+1))/((1+x+x**2)*(x**6+x**3+1)*(x-1)**3)))] }
-
-
-
-def A036408():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((1-x)+x**7)-x**9)+x**10+x**3))/((1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**3)))] }
-
-
-
-def A036410():
- x = SR.var('x')
- return { 'ogf': [((1+x**6)/((1-x)*(1-x**3)*(1-x**4))),
-((((-1)-x**4)+x**2)/((1+x)*(1+x+x**2)*(x-1)**3))] }
-
-
-
-def A036428():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(30*x)+1))/((1-x)*((1-(194*x))+x**2)))] }
-
-
-
-def A036464():
- x = SR.var('x')
- return { 'ogf': [((4*x**3*(2+x))/(1-x)**5)] }
-
-
-
-def A036486():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)))/((1+x)*(x-1)**4))] }
-
-
-
-def A036487():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+x+x**2))/((1+x)*(x-1)**4))] }
-
-
-
-def A036498():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+(2*x)+(5*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A036543():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A036544():
- x = SR.var('x')
- return { 'ogf': [((2*((1-(10*x))+x**2))/((1-(10*x))*(1-x)**2))] }
-
-
-
-def A036545():
- x = SR.var('x')
- return { 'ogf': [((1+(13*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A036546():
- x = SR.var('x')
- return { 'ogf': [((1+(29*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A036547():
- x = SR.var('x')
- return { 'ogf': [((1+(61*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A036548():
- x = SR.var('x')
- return { 'ogf': [((1+(125*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A036549():
- x = SR.var('x')
- return { 'ogf': [((1+(253*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A036557():
- x = SR.var('x')
- return { 'ogf': [(-((((x**5-(3*x**4)-(3*x**3))+(4*x**2)+x)-1)/((1-x**2)*(1-(2*x))*(1-(3*x**2)))))] }
-
-
-
-def A036562():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(19*x**2))+(20*x**3))/(x*(1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A036563():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))-(3/(1-x)))] }
-
-
-
-def A036564():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+(2*x))*(1+(14*x)))/((1-x)*(1-(2*x))))] }
-
-
-
-def A036572():
- x = SR.var('x')
- return { 'ogf': [((x**3*((2*x**2)-3))/((x-1)**3*(x+1)))] }
-
-
-
-def A036573():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((x**3-(4*x**2))+4))/((x-1)**3*(x+1))))] }
-
-
-
-def A036605():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(3*x**2)-x**3)/((1+x+x**2)*((x**2+x)-1)))] }
-
-
-
-def A036659():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(6*x)+x**2))/(1-x)**4)] }
-
-
-
-def A036681():
- x = SR.var('x')
- return { 'ogf': [((((-x**2)-x)+2)/(1-x-x**2)**3)] }
-
-
-
-def A036682():
- x = SR.var('x')
- return { 'ogf': [((((-(2*x**2))-(2*x))+3)/(1-x-x**2)**4)] }
-
-
-
-def A036683():
- x = SR.var('x')
- return { 'ogf': [((((x**4+(2*x**3))-(4*x**2)-(5*x))+5)/(1-x-x**2)**5)] }
-
-
-
-def A036684():
- x = SR.var('x')
- return { 'ogf': [(((((3*x**4)+(6*x**3))-(7*x**2)-(10*x))+8)/(1-x-x**2)**6)] }
-
-
-
-def A036692():
- x = SR.var('x')
- return { 'ogf': [(((3-(4*x))+(2*(((4*x**2)-(8*x))+1)**(1/2)))/(((8*x)+5)*(((4*x**2)-(8*x))+1)))**(1/2)] }
-
-
-
-def A036799():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A036800():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x)))/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A036826():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-x)*(1-(2*x))**3))] }
-
-
-
-def A036827():
- x = SR.var('x')
- return { 'ogf': [((-(2*x*((4*x**2)+(8*x)+1)))/((x-1)*((2*x)-1)**4))] }
-
-
-
-def A036828():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**2)+(8*x)+1))/((x-1)*((2*x)-1)**4)))] }
-
-
-
-def A036837():
- x = SR.var('x')
- return { 'ogf': [((x**7*(((((((((4-x**9)+(5*x**8))-(10*x**7))+(10*x**6))-(5*x**5))+(2*x**4))-(5*x**3))+(10*x**2))-(9*x)))/((x**4+x**3+x**2+x+1)*(x-1)**6))] }
-
-
-
-def A037078():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*(1+x+x**2)*((3*x**2)-1)))] }
-
-
-
-def A037140():
- x = SR.var('x')
- return { 'ogf': [((5+(3*x))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A037141():
- x = SR.var('x')
- return { 'ogf': [((5-(8*x))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A037157():
- x = SR.var('x')
- return { 'ogf': [((8+(5*x))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A037158():
- x = SR.var('x')
- return { 'ogf': [((13-(21*x))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A037232():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**24+(11*x**23))-(4215*x**22))+(37396*x**21)+(704415*x**20))-(2998831*x**19)-(37542042*x**18))+(36787261*x**17)+(626732253*x**16)+(13265126*x**15))-(3.881153331E9*x**14)-(1042069103*x**13))+(9.636841166E9*x**12)+(2.382500981E9*x**11))-(9.372616945E9*x**10)-(1901598356*x**9))+(3.355126577E9*x**8)+(402988367*x**7))-(393413958*x**6)-(18907677*x**5))+(11769531*x**4)+(635050*x**3))-(26013*x**2)-(705*x))+1)/(((((((((((((x**26-(15*x**25)-(7121*x**24))+(26330*x**23)+(2687506*x**22))-(4765556*x**21)-(219906142*x**20))+(162742094*x**19)+(5.311778728E9*x**18))-(3.22367279E9*x**17)-(4.8803213494E10*x**16))+(2.2293439868E10*x**15)+(1.90488132168E11*x**14))-(5.1256057908E10*x**13)-(3.12306244606E11*x**12))+(1.7426503078E10*x**11)+(2.11285773166E11*x**10)+(2.24928165E10*x**9))-(4.8774379794E10*x**8)-(7.508233118E9*x**7))+(3.205828392E9*x**6)+(403354870*x**5))-(40487210*x**4)-(2637052*x**3))+(102151*x**2)+(1075*x))-1)))] }
-
-
-
-def A037235():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/(1-x)**4)] }
-
-
-
-def A037251():
- x = SR.var('x')
- return { 'ogf': [((24*x**2*((7*x**4)+(61*x**3)+(100*x**2)+(39*x)+3))/(1-x)**8)] }
-
-
-
-def A037270():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(4*x)+x**2))/(1-x)**5)] }
-
-
-
-def A037451():
- x = SR.var('x')
- return { 'ogf': [((x+x**3)/((1-(3*x)-(6*x**2))+(3*x**3)+x**4)),
-((x*(1+x**2))/(((1+x)-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A037480():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1))/((x-1)*(x+1)*((3*x)-1)))] }
-
-
-
-def A037481():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1))/((x-1)*(x+1)*((4*x)-1)))] }
-
-
-
-def A037482():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((5*x)-1)*(1+x)))] }
-
-
-
-def A037483():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((6*x)-1)*(1+x)))] }
-
-
-
-def A037484():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((7*x)-1)*(1+x)))] }
-
-
-
-def A037485():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-(8*x))*(1-x**2)))] }
-
-
-
-def A037486():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-(9*x))*(1-x**2)))] }
-
-
-
-def A037487():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1))/((x-1)*(x+1)*((10*x)-1)))] }
-
-
-
-def A037488():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((1-x**2)*(1-(3*x))))] }
-
-
-
-def A037489():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((4*x)-1)*(1+x)))] }
-
-
-
-def A037490():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((5*x)-1)*(1+x)))] }
-
-
-
-def A037491():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((6*x)-1)*(1+x)))] }
-
-
-
-def A037492():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((7*x)-1)*(1+x)))] }
-
-
-
-def A037493():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((8*x)-1)*(1+x)))] }
-
-
-
-def A037494():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((1-(9*x))*(1-x**2)))] }
-
-
-
-def A037495():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((10*x)-1)*(1+x)))] }
-
-
-
-def A037496():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((1-x)*(1-(3*x))*(1+x+x**2)))] }
-
-
-
-def A037497():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((1-x)*(1-(4*x))*(1+x+x**2)))] }
-
-
-
-def A037498():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037499():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037500():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037501():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037502():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037503():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037504():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037505():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037506():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037507():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037508():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037509():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037510():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037511():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037512():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037513():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037514():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037515():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037516():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037517():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037518():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037519():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037520():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037522():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037523():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037524():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2))/((x-1)*((7*x)-1)*(x**2+x+1)))] }
-
-
-
-def A037525():
- x = SR.var('x')
- return { 'ogf': [((2+x)/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037526():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037527():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037528():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037529():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037530():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037531():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037532():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037533():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037534():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037535():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037536():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037537():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037538():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037539():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037540():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037541():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037542():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037543():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037544():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037545():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037546():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037547():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037548():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037549():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037550():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037551():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037552():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037553():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037554():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037555():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037556():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037557():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037558():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037559():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037560():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037561():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037562():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037563():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037564():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037565():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037566():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037567():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037568():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((x-1)*((3*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037569():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037570():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037571():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037572():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037573():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037574():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037575():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037576():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1-x)*(1-(4*x))*(1+x)))] }
-
-
-
-def A037577():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)+1))/((x-1)*(x+1)*((5*x)-1)))] }
-
-
-
-def A037578():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)+1))/((x-1)*(x+1)*((6*x)-1)))] }
-
-
-
-def A037579():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)+1))/((x-1)*(x+1)*((7*x)-1)))] }
-
-
-
-def A037580():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)+1))/((x-1)*(x+1)*((8*x)-1)))] }
-
-
-
-def A037581():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)+1))/((x-1)*(x+1)*((9*x)-1)))] }
-
-
-
-def A037582():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)*((10*x)-1)*(1+x)))] }
-
-
-
-def A037583():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((4*x)-1)*(1+x)))] }
-
-
-
-def A037584():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((5*x)-1)*(1+x)))] }
-
-
-
-def A037585():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((6*x)-1)*(1+x)))] }
-
-
-
-def A037586():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((7*x)-1)*(1+x)))] }
-
-
-
-def A037587():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((-1)+(8*x))*(1+x)))] }
-
-
-
-def A037588():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((9*x)-1)*(1+x)))] }
-
-
-
-def A037589():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((1-(10*x)-x**2)+(10*x**3)))] }
-
-
-
-def A037590():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037591():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037592():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037593():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037594():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037595():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037596():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037597():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037598():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037599():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037600():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037601():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037602():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037603():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037604():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((1-x)*(1-(4*x))*(1+x+x**2)))] }
-
-
-
-def A037605():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037606():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037607():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037608():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+(2*x)+1))/((x-1)*((8*x)-1)*(x**2+x+1)))] }
-
-
-
-def A037609():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037610():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+(2*x)+1))/((x-1)*((10*x)-1)*(x**2+x+1)))] }
-
-
-
-def A037611():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x)+1))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037612():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x)+1))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037613():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x)+1))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037614():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x)+1))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037615():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x)+1))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037616():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x)+1))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037617():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x)+1))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037618():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x**2)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037619():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037620():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037621():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037622():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x**2)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037623():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037624():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x**2)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037625():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037626():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037627():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037628():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037629():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037630():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037631():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037632():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037633():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037634():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037635():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037636():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037637():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037638():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037639():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(1+x))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037640():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(1+x))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037641():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(1+x))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037642():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(1+x))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037643():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(1+x))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037644():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(1+x))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037645():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(1+x))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037646():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037647():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037648():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037649():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+3))/((x-1)*((7*x)-1)*(x**2+x+1)))] }
-
-
-
-def A037650():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037651():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037652():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037653():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037654():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037655():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037656():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037657():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)))/((x-1)*((8*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037658():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037659():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037660():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037661():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037662():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037663():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037664():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((-1)+(8*x))*(1+x+x**2)))] }
-
-
-
-def A037665():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037666():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037667():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)))/((x-1)*((4*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037668():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037669():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)))/((x-1)*((6*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037670():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+3)/(((7*x**4)-x**3-(7*x))+1))] }
-
-
-
-def A037671():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+3))/((x-1)*((8*x)-1)*(x**2+x+1)))] }
-
-
-
-def A037672():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037673():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)))/((x-1)*((10*x)-1)*(1+x+x**2)))] }
-
-
-
-def A037674():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(3*x**2)))/((x-1)*((4*x)-1)*(x**2+1)))] }
-
-
-
-def A037675():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(3*x**2)))/((x-1)*((5*x)-1)*(x**2+1)))] }
-
-
-
-def A037676():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(3*x**2)))/((x-1)*((6*x)-1)*(x**2+1)))] }
-
-
-
-def A037677():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(3*x**2)))/((x-1)*((7*x)-1)*(x**2+1)))] }
-
-
-
-def A037678():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(3*x**2)))/((x-1)*((8*x)-1)*(x**2+1)))] }
-
-
-
-def A037679():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(3*x**2)))/((x-1)*((9*x)-1)*(x**2+1)))] }
-
-
-
-def A037680():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(3*x**2)))/((x-1)*((10*x)-1)*(x**2+1)))] }
-
-
-
-def A037681():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)+(2*x**3)))/((x-1)*((4*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037687():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)+(2*x**3)))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037694():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**3)))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037698():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((x-1)*((7*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037701():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037708():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**3)))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037715():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((x-1)*((10*x)-1)*(x**2+1)))] }
-
-
-
-def A037722():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(2*x))+(3*x**2)))/((x-1)*((10*x)-1)*(x**2+1)))] }
-
-
-
-def A037729():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x**2)+x**3))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037737():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((4*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037740():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+x+2))/(((7*x**5)-x**4-(7*x))+1))] }
-
-
-
-def A037743():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037750():
- x = SR.var('x')
- return { 'ogf': [(((2+(3*x)+x**3)*x)/((x-1)*((10*x)-1)*(1+x)*(1+x**2)))] }
-
-
-
-def A037754():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((7*x)-1)*(x**2+1)))] }
-
-
-
-def A037756():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((x-1)*((9*x)-1)*(x**2+1)))] }
-
-
-
-def A037757():
- x = SR.var('x')
- return { 'ogf': [(((2+x)*x)/((x-1)*((10*x)-1)*(x**2+1)))] }
-
-
-
-def A037758():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2+(2*x**3)))/((x-1)*((4*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037759():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2+(2*x**3)))/((x-1)*((5*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037760():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2+(2*x**3)))/((x-1)*((6*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037761():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**3)+x**2+3))/((x-1)*(x+1)*((7*x)-1)*(x**2+1)))] }
-
-
-
-def A037762():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2+(2*x**3)))/((x-1)*((8*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037763():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2+(2*x**3)))/((x-1)*((9*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037764():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x**2+(2*x**3)))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037765():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)+x**3))/((x-1)*((4*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037766():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)+x**3))/((x-1)*((5*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037767():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)+x**3))/((x-1)*((6*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037768():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)+x**3))/((x-1)*((7*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037769():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)+x**3))/((x-1)*((8*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037770():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)+x**3))/((x-1)*((9*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037771():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x**2)+x**3))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037772():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(2*x**2)))/((x-1)*((4*x)-1)*(x**2+1)))] }
-
-
-
-def A037773():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(2*x**2)))/((x-1)*((5*x)-1)*(x**2+1)))] }
-
-
-
-def A037774():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(2*x**2)))/((x-1)*((6*x)-1)*(x**2+1)))] }
-
-
-
-def A037775():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(2*x**2)))/((x-1)*((7*x)-1)*(x**2+1)))] }
-
-
-
-def A037776():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(2*x**2)))/((x-1)*((8*x)-1)*(x**2+1)))] }
-
-
-
-def A037777():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(2*x**2)))/((x-1)*((9*x)-1)*(x**2+1)))] }
-
-
-
-def A037778():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(2*x**2)))/((x-1)*((10*x)-1)*(x**2+1)))] }
-
-
-
-def A037779():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/((x-1)*((4*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037780():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/((x-1)*((5*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037781():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/((x-1)*((6*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037782():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/((x-1)*((7*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037783():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/((x-1)*((8*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037784():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/((x-1)*((9*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037785():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037786():
- x = SR.var('x')
- return { 'ogf': [((x*((3-x)+x**2))/((x-1)*((4*x)-1)*(x**2+1)))] }
-
-
-
-def A037787():
- x = SR.var('x')
- return { 'ogf': [((x*((3-x)+x**2))/((x-1)*((5*x)-1)*(x**2+1)))] }
-
-
-
-def A037788():
- x = SR.var('x')
- return { 'ogf': [((x*((3-x)+x**2))/((x-1)*((6*x)-1)*(x**2+1)))] }
-
-
-
-def A037789():
- x = SR.var('x')
- return { 'ogf': [((x*((3-x)+x**2))/((x-1)*((7*x)-1)*(x**2+1)))] }
-
-
-
-def A037790():
- x = SR.var('x')
- return { 'ogf': [((x*((3-x)+x**2))/((x-1)*((8*x)-1)*(x**2+1)))] }
-
-
-
-def A037791():
- x = SR.var('x')
- return { 'ogf': [((x*((3-x)+x**2))/((x-1)*((9*x)-1)*(x**2+1)))] }
-
-
-
-def A037792():
- x = SR.var('x')
- return { 'ogf': [((x*((3-x)+x**2))/((x-1)*((10*x)-1)*(x**2+1)))] }
-
-
-
-def A037793():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2))/((x-1)*((4*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037794():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2))/((x-1)*((5*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037795():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2))/((x-1)*((6*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037796():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2))/((x-1)*((7*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037797():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2))/((x-1)*((8*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037798():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2))/((x-1)*((9*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037799():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2))/((x-1)*((10*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A037915():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**3)/((1-x)*(1-x**4)))] }
-
-
-
-def A037965():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/(1-(4*x))**(3/2))] }
-
-
-
-def A038122():
- x = SR.var('x')
- return { 'ogf': [((x*(((((4*x**15)+(60*x**14)+(12*x**13)+(8*x**12))-(60*x**11)-(12*x**10)-(8*x**9))+(60*x**8)+(12*x**7)+(7*x**6))-(63*x**5)-(12*x**4)-(15*x**3)-(3*x)-1))/((x-1)*(x**2+1)*(x**2+x+1)*((x**4-x**2)+1)))] }
-
-
-
-def A038163():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2))**3)] }
-
-
-
-def A038164():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2))**4)] }
-
-
-
-def A038165():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2))**5)] }
-
-
-
-def A038166():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2))**6)] }
-
-
-
-def A038167():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/((1-x**2)**2*(1-x**5)))] }
-
-
-
-def A038196():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(2*x**2)-x**4)+x**6))] }
-
-
-
-def A038197():
- x = SR.var('x')
- return { 'ogf': [(-((((((-1)-x-x**2)+x**3)-x**5)+x**6)/((1-(2*x**3)-(3*x**6))+x**9+x**12)))] }
-
-
-
-def A038201():
- x = SR.var('x')
- return { 'ogf': [(-((((((1+x+x**2+x**3)-(2*x**4)-x**5)+x**7)-x**8-x**11)+x**12)/((((-1)+(3*x**4)+(3*x**8))-(4*x**12)-x**16)+x**20)))] }
-
-
-
-def A038213():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+x**2)/(((1-(6*x))+(5*x**2))-x**3))] }
-
-
-
-def A038223():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(6*x))+(5*x**2))-x**3))] }
-
-
-
-def A038237():
- x = SR.var('x')
- return { 'ogf': [((((x**5+x**4)-(4*x**3)-(3*x**2))+(3*x)+1)/((((x**8-(7*x**6))+(15*x**4))-(10*x**2))+1))] }
-
-
-
-def A038249():
- x = SR.var('x')
- return { 'ogf': [((((-x**3)-x**2)+(2*x)+1)/((((x**8-(7*x**6))+(15*x**4))-(10*x**2))+1))] }
-
-
-
-def A038339():
- x = SR.var('x')
- return { 'ogf': [(1/(((((1-(15*x))+(35*x**2))-(28*x**3))+(9*x**4))-x**5))] }
-
-
-
-def A038340():
- x = SR.var('x')
- return { 'ogf': [(((((x**7+x**6)-(6*x**5)-(5*x**4))+(10*x**3)+(6*x**2))-(4*x)-1)/(((((x**10-(9*x**8))+(28*x**6))-(35*x**4))+(15*x**2))-1))] }
-
-
-
-def A038341():
- x = SR.var('x')
- return { 'ogf': [(((x**3+x**2)-(2*x)-1)/(((((x**10-(9*x**8))+(28*x**6))-(35*x**4))+(15*x**2))-1))] }
-
-
-
-def A038342():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(3*x)-(3*x**2))+(4*x**3)+x**4)-x**5)),
-(1/(((1-(3*x)-(3*x**2))+(4*x**3)+x**4)-x**5))] }
-
-
-
-def A038380():
- x = SR.var('x')
- return { 'ogf': [(((((2-(9*x))+(21*x**2))-(16*x**3))/2)-((((4-(18*x))+(17*x**2))*(1-x)**(1/2)*(1-(5*x))**(1/2))/6)-((x*(1-x**2)**(1/2)*(1-(5*x**2))**(1/2))/2)-(((1-x**3)**(1/2)*(1-(5*x**3))**(1/2))/3))] }
-
-
-
-def A038381():
- x = SR.var('x')
- return { 'ogf': [((((((1-(11*x))+(21*x**2))-(9*x**3))/2)-((((4-(18*x))+(17*x**2))*(1-x)**(1/2)*(1-(5*x))**(1/2))/6))+((x*(1-x**2)**(1/2)*(1-(5*x**2))**(1/2))/2)+(((1-x**3)**(1/2)*(1-(5*x**3))**(1/2))/6))] }
-
-
-
-def A038390():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+1)/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A038391():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x)+1)/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A038503():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/((1-x)**4-x**4))] }
-
-
-
-def A038504():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((1-(2*x))*((1-(2*x))+(2*x**2)))),
-((x*(1-x)**2)/((1-x)**4-x**4))] }
-
-
-
-def A038505():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-x)**4-x**4))] }
-
-
-
-def A038518():
- x = SR.var('x')
- return { 'ogf': [(((-x**3)+x**2+x)/((1-(2*x))*(1+(2*x)+(2*x**2))))] }
-
-
-
-def A038577():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-x**3-x**4)+x**7)/(1-x)**2/(1+x)**2/(1-x-x**2))] }
-
-
-
-def A038608():
- x = SR.var('x')
- return { 'ogf': [(-(x/(1+x)**2))] }
-
-
-
-def A038620():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((2*x**8)-(4*x**7))+(3*x**6))-x**5)+(6*x**4)+(2*x**3)+(2*x**2)+x+1))/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A038621():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(((((2*x**8)-(4*x**7))+(3*x**6))-x**5)+(6*x**4)+(2*x**3)+(2*x**2)+x+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A038718():
- x = SR.var('x')
- return { 'ogf': [(((x**2-x)+1)/((((x**4-x**3)+x**2)-(2*x))+1))] }
-
-
-
-def A038721():
- x = SR.var('x')
- return { 'ogf': [(-((2*x)/(((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A038723():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(6*x))+x**2))] }
-
-
-
-def A038725():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(6*x))+x**2))] }
-
-
-
-def A038731():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/((1-(3*x))+x**2)**2)] }
-
-
-
-def A038732():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1-(3*x))+x**2)*(1-x)**5))] }
-
-
-
-def A038733():
- x = SR.var('x')
- return { 'ogf': [(x**4/(((1-(3*x))+x**2)*(1-x)**7))] }
-
-
-
-def A038734():
- x = SR.var('x')
- return { 'ogf': [(x**5/(((1-(3*x))+x**2)*(1-x)**9))] }
-
-
-
-def A038737():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(3*x))+x**2)*(1-x)**3))] }
-
-
-
-def A038739():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((1-(3*x))+x**2)*(1-x)**4))] }
-
-
-
-def A038740():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1-(3*x))+x**2)*(1-x)**6))] }
-
-
-
-def A038741():
- x = SR.var('x')
- return { 'ogf': [(x**4/(((1-(3*x))+x**2)*(1-x)**8))] }
-
-
-
-def A038754():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(3*x**2)))] }
-
-
-
-def A038758():
- x = SR.var('x')
- return { 'ogf': [((x**2*(16+(169*x)+(154*x**2)+(21*x**3)))/(1-x)**7)] }
-
-
-
-def A038761():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(6*x))+x**2))] }
-
-
-
-def A038765():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))**2/(1-(3*x))**2)] }
-
-
-
-def A038797():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((x**2-(3*x))+1)*(x-1)**3)))] }
-
-
-
-def A038845():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x))**3)] }
-
-
-
-def A038846():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x))**4)] }
-
-
-
-def A038865():
- x = SR.var('x')
- return { 'ogf': [(-((9*(((3*x**2)-(8*x))+7))/(x-1)**3))] }
-
-
-
-def A038867():
- x = SR.var('x')
- return { 'ogf': [((5*((25-(32*x))+(13*x**2)))/(1-x)**3)] }
-
-
-
-def A039300():
- x = SR.var('x')
- return { 'ogf': [((1-x-(3*x**2))/((1-x)*(1+x)*(1-(3*x))))] }
-
-
-
-def A039301():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-(2*x**2))/((1-x)*(1-(4*x))))] }
-
-
-
-def A039302():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(5*x**2))/((1-x)*(1+x)*(1-(5*x))))] }
-
-
-
-def A039303():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x)-(30*x**2))+(13*x**3)+(199*x**4)+(12*x**5))-(360*x**6)-(108*x**7))/((1-x)*(1+x)*(1-(2*x))*(1+(2*x))*(1-(3*x))*(1+(3*x))*(1-(6*x))))] }
-
-
-
-def A039304():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-(7*x**2))/((1-x)*(1+x)*(1-(7*x))))] }
-
-
-
-def A039305():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-(13*x**2)-(4*x**3))/((1-x)*(1+x)*(1-(8*x))))] }
-
-
-
-def A039306():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A039623():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(2*x**2)-x**3)/(x-1)**5)] }
-
-
-
-def A039685():
- x = SR.var('x')
- return { 'ogf': [((2*x*(19+(212*x)+(19*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A039720():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x**4-(6*x**2)-(4*x)-3))/((x-1)**3*(x+1)**3))] }
-
-
-
-def A039823():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**4-(2*x**3))+(2*x**2))-x)+1))/((1+x**2)*(1-x)**3))] }
-
-
-
-def A039834():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(x**2*((1+x)-x**2)))] }
-
-
-
-def A039835():
- x = SR.var('x')
- return { 'ogf': [((((-(2*x**4))-(9*x**3))+(161*x**2)+(9*x)+1)/((1-x)*((1-(18*x))+x**2)*(1+(18*x)+x**2)))] }
-
-
-
-def A039919():
- x = SR.var('x')
- return { 'ogf': [((8*x**2*(1-x))/((1-x)+sqrt(((1-(6*x))+(5*x**2))))**3)] }
-
-
-
-def A039959():
- x = SR.var('x')
- return { 'ogf': [(((((x**12-x**11)+x**10+(6*x**8)+x**7+(8*x**6)+x**5+(6*x**4)+x**2)-x)+1)/((1-x)*(1-x**2)*(1-x**3)*(1-x**4))**2)] }
-
-
-
-def A040000():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x)),
-((1-x**2)/(1-x)**2),
-exp((2*atanh(x)))] }
-
-
-
-def A040001():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-x**2))] }
-
-
-
-def A040052():
- x = SR.var('x')
- return { 'ogf': [((7+x+(2*x**2)+x**3+(7*x**4))/(1-x**4))] }
-
-
-
-def A040075():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x))**5)] }
-
-
-
-def A040387():
- x = SR.var('x')
- return { 'ogf': [(-((5*((4*x**2)+x+4))/((x-1)*(x+1))))] }
-
-
-
-def A040505():
- x = SR.var('x')
- return { 'ogf': [(-(((22*x**2)+x+22)/((x-1)*(x+1))))] }
-
-
-
-def A040634():
- x = SR.var('x')
- return { 'ogf': [((25+x+(2*x**2)+(4*x**3)+(2*x**4)+x**5+(25*x**6))/(1-x**6))] }
-
-
-
-def A040733():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((((27*x**6)-(26*x**5))+(27*x**4))-(25*x**3))+(27*x**2))-(26*x))+27))/((x-1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A040768():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((((((((28*x**10)-(24*x**9))+(27*x**8))-(14*x**7))+(15*x**6))-(11*x**5))+(15*x**4))-(14*x**3))+(27*x**2))-(24*x))+28))/((x-1)*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A040847():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((x**2-x)+1)*((((((29*x**12)+x**11+x**10)-(28*x**9))+x**7+(32*x**6)+x**5)-(28*x**3))+x**2+x+29))/((x-1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)*((((((x**8-x**7)+x**5)-x**4)+x**3)-x)+1))))] }
-
-
-
-def A040923():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+1)*((((((((30*x**12)+x**11)-(23*x**10))+(28*x**8)+(3*x**7))-(26*x**6))+(3*x**5)+(28*x**4))-(23*x**2))+x+30))/((x-1)*(x+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A040938():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((((((31*x**8)-(25*x**7))+(26*x**6))-(17*x**5))+(18*x**4))-(17*x**3))+(26*x**2))-(25*x))+31))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A040951():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((((31*x**6)+(33*x**5)+(3*x**4))-(25*x**3))+(3*x**2)+(33*x)+31))/((x-1)*(x+1)*(x**2+1)*(x**4+1))))] }
-
-
-
-def A040952():
- x = SR.var('x')
- return { 'ogf': [(-(((31*x**10)+(2*x**9)+x**8+(2*x**7)+(2*x**6)+(7*x**5)+(2*x**4)+(2*x**3)+x**2+(2*x)+31)/((x-1)*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A040953():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((31*x**4)-(29*x**3))+(30*x**2))-(29*x))+31))/((x-1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A040954():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((31*x**2)-(29*x))+31))/((x-1)*(x**2+x+1))))] }
-
-
-
-def A040958():
- x = SR.var('x')
- return { 'ogf': [(-(((31*x**4)+(2*x**3)+(6*x**2)+(2*x)+31)/((x-1)*(x+1)*(x**2+1))))] }
-
-
-
-def A040960():
- x = SR.var('x')
- return { 'ogf': [(-(((31*x**2)+(2*x)+31)/((x-1)*(x+1))))] }
-
-
-
-def A040962():
- x = SR.var('x')
- return { 'ogf': [(-(((31*x**6)+x**5+x**4+(8*x**3)+x**2+x+31)/((x-1)*(x+1)*((x**2-x)+1)*(x**2+x+1))))] }
-
-
-
-def A040963():
- x = SR.var('x')
- return { 'ogf': [(-(((31*x**12)+x**11+x**10+(5*x**9)+(4*x**8)+(3*x**7)+(12*x**6)+(3*x**5)+(4*x**4)+(5*x**3)+x**2+x+31)/((x-1)*(x+1)*((x**2-x)+1)*(x**2+1)*(x**2+x+1)*((x**4-x**2)+1))))] }
-
-
-
-def A040965():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((((((((((31*x**12)-(30*x**11))+(31*x**10))-(29*x**9))+(30*x**8))-(26*x**7))+(27*x**6))-(26*x**5))+(30*x**4))-(29*x**3))+(31*x**2))-(30*x))+31))/((x-1)*(x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A040977():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x)**7)] }
-
-
-
-def A041006():
- x = SR.var('x')
- return { 'ogf': [(((2+(5*x)+(2*x**2))-x**3)/((1-(10*x**2))+x**4))] }
-
-
-
-def A041007():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((1-(10*x**2))+x**4))] }
-
-
-
-def A041008():
- x = SR.var('x')
- return { 'ogf': [(((((2+(3*x)+(5*x**2)+(8*x**3)+(5*x**4))-(3*x**5))+(2*x**6))-x**7)/((1-(16*x**4))+x**8))] }
-
-
-
-def A041009():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(2*x**2)+(3*x**3))-(2*x**4))+x**5)-x**6)/((1-(16*x**4))+x**8))] }
-
-
-
-def A041010():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-(3*x**2))+(2*x**3))/((1-(6*x**2))+x**4))] }
-
-
-
-def A041011():
- x = SR.var('x')
- return { 'ogf': [(((x+x**2)-x**3)/((1-(6*x**2))+x**4))] }
-
-
-
-def A041014():
- x = SR.var('x')
- return { 'ogf': [(((3+(10*x)+(3*x**2))-x**3)/((1-(20*x**2))+x**4))] }
-
-
-
-def A041015():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-x**2)/((1-(20*x**2))+x**4))] }
-
-
-
-def A041016():
- x = SR.var('x')
- return { 'ogf': [(((3+(7*x)+(3*x**2))-x**3)/((1-(14*x**2))+x**4))] }
-
-
-
-def A041017():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((1-(14*x**2))+x**4))] }
-
-
-
-def A041020():
- x = SR.var('x')
- return { 'ogf': [(((((3+(4*x)+(11*x**2)+(15*x**3)+(11*x**4))-(4*x**5))+(3*x**6))-x**7)/((1-(30*x**4))+x**8))] }
-
-
-
-def A041021():
- x = SR.var('x')
- return { 'ogf': [(((((1+(1*x)+(3*x**2)+(4*x**3))-(3*x**4))+x**5)-x**6)/((1-(30*x**4))+x**8))] }
-
-
-
-def A041022():
- x = SR.var('x')
- return { 'ogf': [(((3+(4*x)+(3*x**2))-x**3)/((1-(8*x**2))+x**4))] }
-
-
-
-def A041023():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(8*x**2))+x**4))] }
-
-
-
-def A041024():
- x = SR.var('x')
- return { 'ogf': [((4+x)/(1-(8*x)-x**2))] }
-
-
-
-def A041025():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x)-x**2))] }
-
-
-
-def A041026():
- x = SR.var('x')
- return { 'ogf': [(((4+(17*x)+(4*x**2))-x**3)/((1-(34*x**2))+x**4))] }
-
-
-
-def A041027():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-x**2)/((1-(34*x**2))+x**4))] }
-
-
-
-def A041028():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(4*x**10))+(9*x**9))-(13*x**8))+(48*x**7))-(61*x**6)-(170*x**5)-(61*x**4)-(48*x**3)-(13*x**2)-(9*x)-4)/((x**12-(340*x**6))+1)))] }
-
-
-
-def A041029():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(11*x**7))+(14*x**6))-(39*x**5)-(14*x**4)-(11*x**3)-(3*x**2)-(2*x)-1)/((x**12-(340*x**6))+1)))] }
-
-
-
-def A041030():
- x = SR.var('x')
- return { 'ogf': [(((4+(9*x)+(4*x**2))-x**3)/((1-(18*x**2))+x**4))] }
-
-
-
-def A041031():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((1-(18*x**2))+x**4))] }
-
-
-
-def A041032():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(4*x**10))+(5*x**9))-(9*x**8))+(23*x**7))-(32*x**6)-(55*x**5)-(32*x**4)-(23*x**3)-(9*x**2)-(5*x)-4)/(((x**4-(5*x**2))+1)*(x**8+(5*x**6)+(24*x**4)+(5*x**2)+1))))] }
-
-
-
-def A041033():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(6*x**3)-1))/(((x**4-(5*x**2))+1)*(x**8+(5*x**6)+(24*x**4)+(5*x**2)+1))))] }
-
-
-
-def A041034():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(4*x**10))+(5*x**9))-(14*x**8))+(61*x**7))-(136*x**6)-(197*x**5)-(136*x**4)-(61*x**3)-(14*x**2)-(5*x)-4)/((x**12-(394*x**6))+1)))] }
-
-
-
-def A041035():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(13*x**7))+(29*x**6))-(42*x**5)-(29*x**4)-(13*x**3)-(3*x**2)-x-1)/((x**12-(394*x**6))+1)))] }
-
-
-
-def A041036():
- x = SR.var('x')
- return { 'ogf': [(((((4+(5*x)+(19*x**2)+(24*x**3)+(19*x**4))-(5*x**5))+(4*x**6))-x**7)/((1-(48*x**4))+x**8))] }
-
-
-
-def A041037():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(4*x**2)+(5*x**3))-(4*x**4))+x**5)-x**6)/((1-(48*x**4))+x**8))] }
-
-
-
-def A041038():
- x = SR.var('x')
- return { 'ogf': [(((4+(5*x)+(4*x**2))-x**3)/((1-(10*x**2))+x**4))] }
-
-
-
-def A041039():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(10*x**2))+x**4))] }
-
-
-
-def A041040():
- x = SR.var('x')
- return { 'ogf': [((5+x)/(1-(10*x)-x**2))] }
-
-
-
-def A041041():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(10*x)-x**2))] }
-
-
-
-def A041042():
- x = SR.var('x')
- return { 'ogf': [(((-x**3)+(5*x**2)+(26*x)+5)/((x**4-(52*x**2))+1))] }
-
-
-
-def A041043():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(5*x)-1)/((x**4-(52*x**2))+1)))] }
-
-
-
-def A041044():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(5*x**6))+(16*x**5))-(37*x**4)-(127*x**3)-(37*x**2)-(16*x)-5)/(((x**4-(16*x**2))+1)*(x**4+(16*x**2)+1))))] }
-
-
-
-def A041045():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(8*x**2)+1))/(((x**4-(16*x**2))+1)*(x**4+(16*x**2)+1))))] }
-
-
-
-def A041047():
- x = SR.var('x')
- return { 'ogf': [((((((1+(2*x)+(3*x**2)+(5*x**3)+(13*x**4))-(5*x**5))+(3*x**6))-(2*x**7))+x**8)/(1-(140*x**5)-x**10))] }
-
-
-
-def A041048():
- x = SR.var('x')
- return { 'ogf': [(((5+(11*x)+(5*x**2))-x**3)/((1-(22*x**2))+x**4))] }
-
-
-
-def A041049():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((1-(22*x**2))+x**4))] }
-
-
-
-def A041050():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(5*x**14))+(6*x**13))-(11*x**12))+(39*x**11))-(206*x**10))+(657*x**9))-(863*x**8)-(1520*x**7)-(863*x**6)-(657*x**5)-(206*x**4)-(39*x**3)-(11*x**2)-(6*x)-5)/((x**16-(3040*x**8))+1)))] }
-
-
-
-def A041051():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(7*x**11))+(37*x**10))-(118*x**9))+(155*x**8))-(273*x**7)-(155*x**6)-(118*x**5)-(37*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**16-(3040*x**8))+1)))] }
-
-
-
-def A041052():
- x = SR.var('x')
- return { 'ogf': [(((((5+(6*x)+(11*x**2)+(17*x**3)+(11*x**4))-(6*x**5))+(5*x**6))-x**7)/((1-(34*x**4))+x**8))] }
-
-
-
-def A041053():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(2*x**2)+(3*x**3))-(2*x**4))+x**5)-x**6)/((1-(34*x**4))+x**8))] }
-
-
-
-def A041054():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(5*x**6))+(6*x**5))-(17*x**4)-(23*x**3)-(17*x**2)-(6*x)-5)/((x**8-(46*x**4))+1)))] }
-
-
-
-def A041055():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(46*x**4))+1)))] }
-
-
-
-def A041056():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(5*x**6))+(6*x**5))-(29*x**4)-(35*x**3)-(29*x**2)-(6*x)-5)/((x**8-(70*x**4))+1)))] }
-
-
-
-def A041057():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(6*x**2)+1))/((x**8-(70*x**4))+1)))] }
-
-
-
-def A041058():
- x = SR.var('x')
- return { 'ogf': [(((5+(6*x)+(5*x**2))-x**3)/((1-(12*x**2))+x**4))] }
-
-
-
-def A041059():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(12*x**2))+x**4))] }
-
-
-
-def A041060():
- x = SR.var('x')
- return { 'ogf': [((6+x)/(1-(12*x)-x**2))] }
-
-
-
-def A041061():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(12*x)-x**2))] }
-
-
-
-def A041062():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(6*x**2)-(37*x)-6)/((x**4-(74*x**2))+1)))] }
-
-
-
-def A041063():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(6*x)-1)/((x**4-(74*x**2))+1)))] }
-
-
-
-def A041064():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(6*x**2)-(25*x)-6)/((x**4-(50*x**2))+1)))] }
-
-
-
-def A041065():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**4-(50*x**2))+1)))] }
-
-
-
-def A041066():
- x = SR.var('x')
- return { 'ogf': [(-(((x+2)*(x**2-(8*x)-3))/((x**2-(6*x)-1)*((x**2+(6*x))-1))))] }
-
-
-
-def A041067():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(3*x)-1)/((x**2-(6*x)-1)*((x**2+(6*x))-1))))] }
-
-
-
-def A041068():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5-(6*x**4))+(13*x**3)+(32*x**2)+(13*x)+6)/((x**6+(64*x**3))-1)))] }
-
-
-
-def A041069():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-(2*x**3))+(5*x**2)+(2*x)+1)/((x**6+(64*x**3))-1)))] }
-
-
-
-def A041070():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(7*x)-6))/((x**4-(26*x**2))+1)))] }
-
-
-
-def A041071():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(26*x**2))+1)))] }
-
-
-
-def A041072():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(6*x**18))+(7*x**17))-(13*x**16))+(46*x**15))-(59*x**14))+(341*x**13))-(400*x**12))+(1541*x**11))-(1941*x**10)-(3482*x**9)-(1941*x**8)-(1541*x**7)-(400*x**6)-(341*x**5)-(59*x**4)-(46*x**3)-(13*x**2)-(7*x)-6)/((x**20-(6964*x**10))+1)))] }
-
-
-
-def A041073():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(7*x**15))+(9*x**14))-(52*x**13))+(61*x**12))-(235*x**11))+(296*x**10))-(531*x**9)-(296*x**8)-(235*x**7)-(61*x**6)-(52*x**5)-(9*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**20-(6964*x**10))+1)))] }
-
-
-
-def A041074():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(6*x**14))+(7*x**13))-(13*x**12))+(20*x**11))-(53*x**10))+(73*x**9))-(126*x**8)-(199*x**7)-(126*x**6)-(73*x**5)-(53*x**4)-(20*x**3)-(13*x**2)-(7*x)-6)/(((x**8-(20*x**4))+1)*(x**8+(20*x**4)+1))))] }
-
-
-
-def A041075():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1)*(x**8+(10*x**4)+1))/(((x**8-(20*x**4))+1)*(x**8+(20*x**4)+1))))] }
-
-
-
-def A041076():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(6*x**10))+(7*x**9))-(20*x**8))+(47*x**7))-(114*x**6)-(161*x**5)-(114*x**4)-(47*x**3)-(20*x**2)-(7*x)-6)/(((x**2-(3*x))+1)*(x**2+(3*x)+1)*((((x**4-(3*x**3))+(8*x**2))-(3*x))+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A041077():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(7*x**7))+(17*x**6))-(24*x**5)-(17*x**4)-(7*x**3)-(3*x**2)-x-1)/(((x**2-(3*x))+1)*(x**2+(3*x)+1)*((((x**4-(3*x**3))+(8*x**2))-(3*x))+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A041078():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(6*x**22))+(7*x**21))-(27*x**20))+(34*x**19))-(61*x**18))+(156*x**17))-(997*x**16))+(2150*x**15))-(3147*x**14))+(5297*x**13))-(19038*x**12)-(24335*x**11)-(19038*x**10)-(5297*x**9)-(3147*x**8)-(2150*x**7)-(997*x**6)-(156*x**5)-(61*x**4)-(34*x**3)-(27*x**2)-(7*x)-6)/((x**24-(48670*x**12))+1)))] }
-
-
-
-def A041079():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(4*x**20))-(5*x**19))+(9*x**18))-(23*x**17))+(147*x**16))-(317*x**15))+(464*x**14))-(781*x**13))+(2807*x**12))-(3588*x**11)-(2807*x**10)-(781*x**9)-(464*x**8)-(317*x**7)-(147*x**6)-(23*x**5)-(9*x**4)-(5*x**3)-(4*x**2)-x-1)/((x**24-(48670*x**12))+1)))] }
-
-
-
-def A041080():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(6*x**6))+(7*x**5))-(41*x**4)-(48*x**3)-(41*x**2)-(7*x)-6)/((x**8-(96*x**4))+1)))] }
-
-
-
-def A041081():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(7*x**2)+1))/((x**8-(96*x**4))+1)))] }
-
-
-
-def A041082():
- x = SR.var('x')
- return { 'ogf': [(((6+(7*x)+(6*x**2))-x**3)/(((1-(4*x))+x**2)*(1+(4*x)+x**2)))] }
-
-
-
-def A041083():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/(((1-(4*x))+x**2)*(1+(4*x)+x**2)))] }
-
-
-
-def A041084():
- x = SR.var('x')
- return { 'ogf': [((7+x)/(1-(14*x)-x**2))] }
-
-
-
-def A041085():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(14*x)-x**2))] }
-
-
-
-def A041086():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(7*x**2)-(50*x)-7)/((x**4-(100*x**2))+1)))] }
-
-
-
-def A041087():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(7*x)-1)/((x**4-(100*x**2))+1)))] }
-
-
-
-def A041088():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(7*x**10))+(29*x**9))-(36*x**8))+(101*x**7))-(137*x**6)-(649*x**5)-(137*x**4)-(101*x**3)-(36*x**2)-(29*x)-7)/((x**2-(3*x)-1)*((x**2+(3*x))-1)*((x**4-(3*x**3))+(10*x**2)+(3*x)+1)*(((x**4+(3*x**3)+(10*x**2))-(3*x))+1))))] }
-
-
-
-def A041089():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(4*x**9))+(5*x**8))-(14*x**7))+(19*x**6))-(90*x**5)-(19*x**4)-(14*x**3)-(5*x**2)-(4*x)-1)/((x**2-(3*x)-1)*((x**2+(3*x))-1)*((x**4-(3*x**3))+(10*x**2)+(3*x)+1)*(((x**4+(3*x**3)+(10*x**2))-(3*x))+1))))] }
-
-
-
-def A041090():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(7*x**8))+(22*x**7))-(29*x**6))+(51*x**5)+(182*x**4)+(51*x**3)+(29*x**2)+(22*x)+7)/((x**10+(364*x**5))-1)))] }
-
-
-
-def A041091():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(3*x**7))+(4*x**6))-(7*x**5))+(25*x**4)+(7*x**3)+(4*x**2)+(3*x)+1)/((x**10+(364*x**5))-1)))] }
-
-
-
-def A041092():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(7*x**10))+(15*x**9))-(22*x**8))+(147*x**7))-(169*x**6)-(485*x**5)-(169*x**4)-(147*x**3)-(22*x**2)-(15*x)-7)/(((x**4-(10*x**2))+1)*(x**8+(10*x**6)+(99*x**4)+(10*x**2)+1))))] }
-
-
-
-def A041093():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(20*x**7))+(23*x**6))-(66*x**5)-(23*x**4)-(20*x**3)-(3*x**2)-(2*x)-1)/(((x**4-(10*x**2))+1)*(x**8+(10*x**6)+(99*x**4)+(10*x**2)+1))))] }
-
-
-
-def A041094():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((x**6-(8*x**5))+(23*x**4))-(60*x**3)-(29*x**2)-(8*x)-7))/((x**8-(178*x**4))+1)))] }
-
-
-
-def A041095():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(6*x**2)+1))/((x**8-(178*x**4))+1)))] }
-
-
-
-def A041096():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(8*x)-7))/((x**4-(30*x**2))+1)))] }
-
-
-
-def A041097():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(30*x**2))+1)))] }
-
-
-
-def A041098():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(7*x**10))+(8*x**9))-(15*x**8))+(68*x**7))-(83*x**6)-(151*x**5)-(83*x**4)-(68*x**3)-(15*x**2)-(8*x)-7)/((x**12-(302*x**6))+1)))] }
-
-
-
-def A041099():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(10*x**3)-1))/((x**12-(302*x**6))+1)))] }
-
-
-
-def A041100():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(7*x**12))+(8*x**11))-(15*x**10))+(23*x**9))-(38*x**8))+(61*x**7)+(99*x**6)+(61*x**5)+(38*x**4)+(23*x**3)+(15*x**2)+(8*x)+7)/((x**14+(198*x**7))-1)))] }
-
-
-
-def A041101():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-x**11)+(2*x**10))-(3*x**9))+(5*x**8))-(8*x**7))+(13*x**6)+(8*x**5)+(5*x**4)+(3*x**3)+(2*x**2)+x+1)/((x**14+(198*x**7))-1)))] }
-
-
-
-def A041102():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(7*x**10))+(8*x**9))-(23*x**8))+(169*x**7))-(361*x**6)-(530*x**5)-(361*x**4)-(169*x**3)-(23*x**2)-(8*x)-7)/((x**12-(1060*x**6))+1)))] }
-
-
-
-def A041103():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(22*x**7))+(47*x**6))-(69*x**5)-(47*x**4)-(22*x**3)-(3*x**2)-x-1)/((x**12-(1060*x**6))+1)))] }
-
-
-
-def A041104():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(7*x**6))+(8*x**5))-(23*x**4)-(31*x**3)-(23*x**2)-(8*x)-7)/(((x**4-(8*x**2))+1)*(x**4+(8*x**2)+1))))] }
-
-
-
-def A041105():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/(((x**4-(8*x**2))+1)*(x**4+(8*x**2)+1))))] }
-
-
-
-def A041106():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**21-(7*x**20))+(8*x**19))-(39*x**18))+(125*x**17))-(164*x**16))+(453*x**15))-(1070*x**14))+(1523*x**13))-(5639*x**12))+(24079*x**11)+(29718*x**10)+(24079*x**9)+(5639*x**8)+(1523*x**7)+(1070*x**6)+(453*x**5)+(164*x**4)+(125*x**3)+(39*x**2)+(8*x)+7)/((x**22+(59436*x**11))-1)))] }
-
-
-
-def A041107():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**20-x**19)+(5*x**18))-(16*x**17))+(21*x**16))-(58*x**15))+(137*x**14))-(195*x**13))+(722*x**12))-(3083*x**11))+(3805*x**10)+(3083*x**9)+(722*x**8)+(195*x**7)+(137*x**6)+(58*x**5)+(21*x**4)+(16*x**3)+(5*x**2)+x+1)/((x**22+(59436*x**11))-1)))] }
-
-
-
-def A041108():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(7*x**6))+(8*x**5))-(55*x**4)-(63*x**3)-(55*x**2)-(8*x)-7)/((x**8-(126*x**4))+1)))] }
-
-
-
-def A041109():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(8*x**2)+1))/((x**8-(126*x**4))+1)))] }
-
-
-
-def A041110():
- x = SR.var('x')
- return { 'ogf': [(((7+(8*x)+(7*x**2))-x**3)/((1-(16*x**2))+x**4))] }
-
-
-
-def A041111():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(16*x**2))+x**4))] }
-
-
-
-def A041112():
- x = SR.var('x')
- return { 'ogf': [((8+x)/(1-(16*x)-x**2))] }
-
-
-
-def A041113():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(16*x)-x**2))] }
-
-
-
-def A041114():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(8*x**2)-(65*x)-8)/((x**4-(130*x**2))+1)))] }
-
-
-
-def A041115():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(8*x)-1)/((x**4-(130*x**2))+1)))] }
-
-
-
-def A041116():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(8*x**18))+(41*x**17))-(90*x**16))+(131*x**15))-(221*x**14))+(1678*x**13))-(1899*x**12))+(3577*x**11))-(9053*x**10)-(48842*x**9)-(9053*x**8)-(3577*x**7)-(1899*x**6)-(1678*x**5)-(221*x**4)-(131*x**3)-(90*x**2)-(41*x)-8)/((x**20-(97684*x**10))+1)))] }
-
-
-
-def A041117():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(5*x**17))+(11*x**16))-(16*x**15))+(27*x**14))-(205*x**13))+(232*x**12))-(437*x**11))+(1106*x**10))-(5967*x**9)-(1106*x**8)-(437*x**7)-(232*x**6)-(205*x**5)-(27*x**4)-(16*x**3)-(11*x**2)-(5*x)-1)/((x**20-(97684*x**10))+1)))] }
-
-
-
-def A041118():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(8*x**2)-(33*x)-8)/((x**2-(8*x)-1)*((x**2+(8*x))-1))))] }
-
-
-
-def A041119():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**2-(8*x)-1)*((x**2+(8*x))-1))))] }
-
-
-
-def A041120():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(8*x**14))+(25*x**13))-(83*x**12))+(108*x**11))-(515*x**10))+(623*x**9))-(2384*x**8)-(7775*x**7)-(2384*x**6)-(623*x**5)-(515*x**4)-(108*x**3)-(83*x**2)-(25*x)-8)/((x**16-(15550*x**8))+1)))] }
-
-
-
-def A041121():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(10*x**12))-(13*x**11))+(62*x**10))-(75*x**9))+(287*x**8))-(936*x**7)-(287*x**6)-(75*x**5)-(62*x**4)-(13*x**3)-(10*x**2)-(3*x)-1)/((x**16-(15550*x**8))+1)))] }
-
-
-
-def A041122():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((x**10-(9*x**9))+(26*x**8))-(51*x**7))+(118*x**6))-(210*x**5)-(41*x**4)-(51*x**3)-(16*x**2)-(9*x)-8))/((x**12-(502*x**6))+1)))] }
-
-
-
-def A041123():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**8+(4*x**6)+(15*x**4)+(4*x**2)+1))/((x**12-(502*x**6))+1)))] }
-
-
-
-def A041124():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(8*x**14))+(17*x**13))-(42*x**12))+(59*x**11))-(455*x**10))+(514*x**9))-(1483*x**8)-(3480*x**7)-(1483*x**6)-(514*x**5)-(455*x**4)-(59*x**3)-(42*x**2)-(17*x)-8)/((x**16-(6960*x**8))+1)))] }
-
-
-
-def A041125():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(5*x**12))-(7*x**11))+(54*x**10))-(61*x**9))+(176*x**8))-(413*x**7)-(176*x**6)-(61*x**5)-(54*x**4)-(7*x**3)-(5*x**2)-(2*x)-1)/((x**16-(6960*x**8))+1)))] }
-
-
-
-def A041126():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(9*x)-8))/(((x**2-(6*x))+1)*(x**2+(6*x)+1))))] }
-
-
-
-def A041127():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/(((x**2-(6*x))+1)*(x**2+(6*x)+1))))] }
-
-
-
-def A041128():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(8*x**12))+(9*x**11))-(17*x**10))+(94*x**9))-(487*x**8))+(581*x**7)+(1068*x**6)+(581*x**5)+(487*x**4)+(94*x**3)+(17*x**2)+(9*x)+8)/((x**14+(2136*x**7))-1)))] }
-
-
-
-def A041129():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-x**11)+(2*x**10))-(11*x**9))+(57*x**8))-(68*x**7))+(125*x**6)+(68*x**5)+(57*x**4)+(11*x**3)+(2*x**2)+x+1)/((x**14+(2136*x**7))-1)))] }
-
-
-
-def A041130():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(8*x**8))+(9*x**7))-(17*x**6))+(26*x**5)+(43*x**4)+(26*x**3)+(17*x**2)+(9*x)+8)/((x**10+(86*x**5))-1)))] }
-
-
-
-def A041131():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1))/((x**10+(86*x**5))-1)))] }
-
-
-
-def A041132():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(8*x**6))+(9*x**5))-(17*x**4)-(26*x**3)-(17*x**2)-(9*x)-8)/((x**8-(52*x**4))+1)))] }
-
-
-
-def A041133():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1))/((x**8-(52*x**4))+1)))] }
-
-
-
-def A041134():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(8*x**22))+(9*x**21))-(26*x**20))+(35*x**19))-(61*x**18))+(340*x**17))-(1421*x**16))+(7445*x**15))-(8866*x**14))+(16311*x**13))-(41488*x**12)-(57799*x**11)-(41488*x**10)-(16311*x**9)-(8866*x**8)-(7445*x**7)-(1421*x**6)-(340*x**5)-(61*x**4)-(35*x**3)-(26*x**2)-(9*x)-8)/(((x**12-(340*x**6))+1)*(x**12+(340*x**6)+1))))] }
-
-
-
-def A041135():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(3*x**20))-(4*x**19))+(7*x**18))-(39*x**17))+(163*x**16))-(854*x**15))+(1017*x**14))-(1871*x**13))+(4759*x**12))-(6630*x**11)-(4759*x**10)-(1871*x**9)-(1017*x**8)-(854*x**7)-(163*x**6)-(39*x**5)-(7*x**4)-(4*x**3)-(3*x**2)-x-1)/(((x**12-(340*x**6))+1)*(x**12+(340*x**6)+1))))] }
-
-
-
-def A041136():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(8*x**10))+(9*x**9))-(35*x**8))+(79*x**7))-(272*x**6)-(351*x**5)-(272*x**4)-(79*x**3)-(35*x**2)-(9*x)-8)/(((x**4-(9*x**2))+1)*(x**8+(9*x**6)+(80*x**4)+(9*x**2)+1))))] }
-
-
-
-def A041137():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(4*x**8))-(9*x**7))+(31*x**6))-(40*x**5)-(31*x**4)-(9*x**3)-(4*x**2)-x-1)/(((x**4-(9*x**2))+1)*(x**8+(9*x**6)+(80*x**4)+(9*x**2)+1))))] }
-
-
-
-def A041138():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(8*x**6))+(9*x**5))-(44*x**4)-(53*x**3)-(44*x**2)-(9*x)-8)/((x**8-(106*x**4))+1)))] }
-
-
-
-def A041139():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(6*x**2)+1))/((x**8-(106*x**4))+1)))] }
-
-
-
-def A041140():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(8*x**6))+(9*x**5))-(71*x**4)-(80*x**3)-(71*x**2)-(9*x)-8)/((x**8-(160*x**4))+1)))] }
-
-
-
-def A041141():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(9*x**2)+1))/((x**8-(160*x**4))+1)))] }
-
-
-
-def A041142():
- x = SR.var('x')
- return { 'ogf': [((((1+(8*x))-(9*x**2))+(8*x**3))/((1-(18*x**2))+x**4))] }
-
-
-
-def A041143():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2))/((1-(18*x**2))+x**4))] }
-
-
-
-def A041144():
- x = SR.var('x')
- return { 'ogf': [((9+x)/(1-(18*x)-x**2))] }
-
-
-
-def A041145():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(18*x)-x**2))] }
-
-
-
-def A041146():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(9*x**2)-(82*x)-9)/((x**4-(164*x**2))+1)))] }
-
-
-
-def A041147():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(9*x)-1)/((x**4-(164*x**2))+1)))] }
-
-
-
-def A041148():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(9*x**2)-(55*x)-9)/((x**4-(110*x**2))+1)))] }
-
-
-
-def A041149():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(6*x)-1)/((x**4-(110*x**2))+1)))] }
-
-
-
-def A041150():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(9*x**8))+(37*x**7))-(46*x**6))+(83*x**5)+(378*x**4)+(83*x**3)+(46*x**2)+(37*x)+9)/((x**10+(756*x**5))-1)))] }
-
-
-
-def A041151():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(4*x**7))+(5*x**6))-(9*x**5))+(41*x**4)+(9*x**3)+(5*x**2)+(4*x)+1)/((x**10+(756*x**5))-1)))] }
-
-
-
-def A041152():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(9*x**18))+(28*x**17))-(37*x**16))+(65*x**15))-(102*x**14))+(881*x**13))-(983*x**12))+(1864*x**11))-(2847*x**10)-(10405*x**9)-(2847*x**8)-(1864*x**7)-(983*x**6)-(881*x**5)-(102*x**4)-(65*x**3)-(37*x**2)-(28*x)-9)/((x**20-(20810*x**10))+1)))] }
-
-
-
-def A041153():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(4*x**16))-(7*x**15))+(11*x**14))-(95*x**13))+(106*x**12))-(201*x**11))+(307*x**10))-(1122*x**9)-(307*x**8)-(201*x**7)-(106*x**6)-(95*x**5)-(11*x**4)-(7*x**3)-(4*x**2)-(3*x)-1)/((x**20-(20810*x**10))+1)))] }
-
-
-
-def A041154():
- x = SR.var('x')
- return { 'ogf': [(((9+(28*x)+(9*x**2))-x**3)/((1-(56*x**2))+x**4))] }
-
-
-
-def A041155():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-x**2)/((x**4-(56*x**2))+1))] }
-
-
-
-def A041156():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(9*x**10))+(19*x**9))-(28*x**8))+(47*x**7))-(75*x**6)-(197*x**5)-(75*x**4)-(47*x**3)-(28*x**2)-(19*x)-9)/((x**12-(394*x**6))+1)))] }
-
-
-
-def A041157():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(5*x**7))+(8*x**6))-(21*x**5)-(8*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/((x**12-(394*x**6))+1)))] }
-
-
-
-def A041158():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(9*x**8))+(19*x**7))-(66*x**6))+(217*x**5)+(500*x**4)+(217*x**3)+(66*x**2)+(19*x)+9)/((x**10+(1000*x**5))-1)))] }
-
-
-
-def A041159():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(2*x**7))+(7*x**6))-(23*x**5))+(53*x**4)+(23*x**3)+(7*x**2)+(2*x)+1)/((x**10+(1000*x**5))-1)))] }
-
-
-
-def A041160():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((9+(10*x))-x**2))/((1-(38*x**2))+x**4))] }
-
-
-
-def A041161():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((x**4-(38*x**2))+1))] }
-
-
-
-def A041162():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(9*x**14))+(10*x**13))-(19*x**12))+(105*x**11))-(124*x**10))+(725*x**9))-(849*x**8)-(1574*x**7)-(849*x**6)-(725*x**5)-(124*x**4)-(105*x**3)-(19*x**2)-(10*x)-9)/((x**16-(3148*x**8))+1)))] }
-
-
-
-def A041163():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(11*x**11))+(13*x**10))-(76*x**9))+(89*x**8))-(165*x**7)-(89*x**6)-(76*x**5)-(13*x**4)-(11*x**3)-(2*x**2)-x-1)/((x**16-(3148*x**8))+1)))] }
-
-
-
-def A041164():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(9*x**14))+(10*x**13))-(19*x**12))+(48*x**11))-(211*x**10))+(470*x**9))-(681*x**8)-(1151*x**7)-(681*x**6)-(470*x**5)-(211*x**4)-(48*x**3)-(19*x**2)-(10*x)-9)/(((x**8-(48*x**4))+1)*(x**8+(48*x**4)+1))))] }
-
-
-
-def A041165():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(5*x**11))+(22*x**10))-(49*x**9))+(71*x**8))-(120*x**7)-(71*x**6)-(49*x**5)-(22*x**4)-(5*x**3)-(2*x**2)-x-1)/(((x**8-(48*x**4))+1)*(x**8+(48*x**4)+1))))] }
-
-
-
-def A041166():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(9*x**18))+(10*x**17))-(19*x**16))+(29*x**15))-(135*x**14))+(839*x**13))-(3491*x**12))+(4330*x**11))-(7821*x**10)-(12151*x**9)-(7821*x**8)-(4330*x**7)-(3491*x**6)-(839*x**5)-(135*x**4)-(29*x**3)-(19*x**2)-(10*x)-9)/((x**20-(24302*x**10))+1)))] }
-
-
-
-def A041167():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(3*x**15))+(14*x**14))-(87*x**13))+(362*x**12))-(449*x**11))+(811*x**10))-(1260*x**9)-(811*x**8)-(449*x**7)-(362*x**6)-(87*x**5)-(14*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**20-(24302*x**10))+1)))] }
-
-
-
-def A041170():
- x = SR.var('x')
- return { 'ogf': [(((((9+(10*x)+(29*x**2)+(39*x**3)+(29*x**4))-(10*x**5))+(9*x**6))-x**7)/((1-(78*x**4))+x**8))] }
-
-
-
-def A041171():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(3*x**2)+(4*x**3))-(3*x**4))+x**5)-x**6)/((1-(78*x**4))+x**8))] }
-
-
-
-def A041172():
- x = SR.var('x')
- return { 'ogf': [(((((9+(10*x)+(39*x**2)+(49*x**3)+(39*x**4))-(10*x**5))+(9*x**6))-x**7)/(((1-(10*x**2))+x**4)*(1+(10*x**2)+x**4)))] }
-
-
-
-def A041173():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(4*x**2)+(5*x**3))-(4*x**4))+x**5)-x**6)/((1-(98*x**4))+x**8))] }
-
-
-
-def A041174():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**21-(9*x**20))+(10*x**19))-(59*x**18))+(69*x**17))-(128*x**16))+(197*x**15))-(325*x**14))+(522*x**13))-(847*x**12))+(4757*x**11)+(5604*x**10)+(4757*x**9)+(847*x**8)+(522*x**7)+(325*x**6)+(197*x**5)+(128*x**4)+(69*x**3)+(59*x**2)+(10*x)+9)/((x**22+(11208*x**11))-1)))] }
-
-
-
-def A041175():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**20-x**19)+(6*x**18))-(7*x**17))+(13*x**16))-(20*x**15))+(33*x**14))-(53*x**13))+(86*x**12))-(483*x**11))+(569*x**10)+(483*x**9)+(86*x**8)+(53*x**7)+(33*x**6)+(20*x**5)+(13*x**4)+(7*x**3)+(6*x**2)+x+1)/((x**22+(11208*x**11))-1)))] }
-
-
-
-def A041176():
- x = SR.var('x')
- return { 'ogf': [(((((9+(10*x)+(89*x**2)+(99*x**3)+(89*x**4))-(10*x**5))+(9*x**6))-x**7)/(((1+(14*x**2))-x**4)*(1-(14*x**2)-x**4)))] }
-
-
-
-def A041177():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(9*x**2)+(10*x**3))-(9*x**4))+x**5)-x**6)/((1-(198*x**4))+x**8))] }
-
-
-
-def A041178():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(9*x**2)-(10*x)-9)/((x**4-(20*x**2))+1)))] }
-
-
-
-def A041179():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(20*x**2))+1)))] }
-
-
-
-def A041180():
- x = SR.var('x')
- return { 'ogf': [((10+x)/(1-(20*x)-x**2))] }
-
-
-
-def A041181():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(20*x)-x**2))] }
-
-
-
-def A041182():
- x = SR.var('x')
- return { 'ogf': [(((10+(101*x)+(10*x**2))-x**3)/((1-(202*x**2))+x**4))] }
-
-
-
-def A041183():
- x = SR.var('x')
- return { 'ogf': [(((1+(10*x))-x**2)/((1-(202*x**2))+x**4))] }
-
-
-
-def A041186():
- x = SR.var('x')
- return { 'ogf': [(((10+(51*x)+(10*x**2))-x**3)/((1-(102*x**2))+x**4))] }
-
-
-
-def A041187():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x))-x**2)/((1-(102*x**2))+x**4))] }
-
-
-
-def A041188():
- x = SR.var('x')
- return { 'ogf': [(((10+(41*x)+(10*x**2))-x**3)/((1-(82*x**2))+x**4))] }
-
-
-
-def A041189():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-x**2)/((1-(82*x**2))+x**4))] }
-
-
-
-def A041190():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(10*x**16))+(31*x**15))-(72*x**14))+(103*x**13))-(175*x**12))+(278*x**11))-(453*x**10))+(1184*x**9)+(4005*x**8)+(1184*x**7)+(453*x**6)+(278*x**5)+(175*x**4)+(103*x**3)+(72*x**2)+(31*x)+10)/((x**18+(8010*x**9))-1)))] }
-
-
-
-def A041191():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-(3*x**15))+(7*x**14))-(10*x**13))+(17*x**12))-(27*x**11))+(44*x**10))-(115*x**9))+(389*x**8)+(115*x**7)+(44*x**6)+(27*x**5)+(17*x**4)+(10*x**3)+(7*x**2)+(3*x)+1)/((x**18+(8010*x**9))-1)))] }
-
-
-
-def A041192():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(10*x**10))+(21*x**9))-(31*x**8))+(300*x**7))-(331*x**6)-(962*x**5)-(331*x**4)-(300*x**3)-(31*x**2)-(21*x)-10)/((x**12-(1924*x**6))+1)))] }
-
-
-
-def A041193():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(29*x**7))+(32*x**6))-(93*x**5)-(32*x**4)-(29*x**3)-(3*x**2)-(2*x)-1)/((x**12-(1924*x**6))+1)))] }
-
-
-
-def A041194():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(10*x**14))+(21*x**13))-(31*x**12))+(52*x**11))-(239*x**10))+(291*x**9))-(530*x**8)-(1351*x**7)-(530*x**6)-(291*x**5)-(239*x**4)-(52*x**3)-(31*x**2)-(21*x)-10)/(((x**8-(52*x**4))+1)*(x**8+(52*x**4)+1))))] }
-
-
-
-def A041195():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(5*x**11))+(23*x**10))-(28*x**9))+(51*x**8))-(130*x**7)-(51*x**6)-(28*x**5)-(23*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/(((x**8-(52*x**4))+1)*(x**8+(52*x**4)+1))))] }
-
-
-
-def A041198():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(11*x)-10))/((x**4-(42*x**2))+1)))] }
-
-
-
-def A041199():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(42*x**2))+1)))] }
-
-
-
-def A041200():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(10*x**10))+(11*x**9))-(21*x**8))+(137*x**7))-(158*x**6)-(295*x**5)-(158*x**4)-(137*x**3)-(21*x**2)-(11*x)-10)/((x**12-(590*x**6))+1)))] }
-
-
-
-def A041201():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*((x**4-x**3)+(2*x**2)+x+1)*(((x**4+(2*x**3)+(5*x**2))-(2*x))+1))/((x**12-(590*x**6))+1)))] }
-
-
-
-def A041202():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(10*x**10))+(11*x**9))-(21*x**8))+(53*x**7))-(74*x**6)-(127*x**5)-(74*x**4)-(53*x**3)-(21*x**2)-(11*x)-10)/(((x**6-(16*x**3))+1)*(x**6+(16*x**3)+1))))] }
-
-
-
-def A041203():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(6*x**3)-1))/(((x**6-(16*x**3))+1)*(x**6+(16*x**3)+1))))] }
-
-
-
-def A041204():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(10*x**16))+(11*x**15))-(21*x**14))+(32*x**13))-(85*x**12))+(202*x**11))-(287*x**10))+(489*x**9)+(776*x**8)+(489*x**7)+(287*x**6)+(202*x**5)+(85*x**4)+(32*x**3)+(21*x**2)+(11*x)+10)/((x**18+(1552*x**9))-1)))] }
-
-
-
-def A041205():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-x**15)+(2*x**14))-(3*x**13))+(8*x**12))-(19*x**11))+(27*x**10))-(46*x**9))+(73*x**8)+(46*x**7)+(27*x**6)+(19*x**5)+(8*x**4)+(3*x**3)+(2*x**2)+x+1)/((x**18+(1552*x**9))-1)))] }
-
-
-
-def A041206():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(10*x**10))+(11*x**9))-(32*x**8))+(331*x**7))-(694*x**6)-(1025*x**5)-(694*x**4)-(331*x**3)-(32*x**2)-(11*x)-10)/((x**12-(2050*x**6))+1)))] }
-
-
-
-def A041207():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(31*x**7))+(65*x**6))-(96*x**5)-(65*x**4)-(31*x**3)-(3*x**2)-x-1)/((x**12-(2050*x**6))+1)))] }
-
-
-
-def A041208():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(10*x**18))+(11*x**17))-(32*x**16))+(43*x**15))-(75*x**14))+(118*x**13))-(193*x**12))+(311*x**11))-(815*x**10)-(1126*x**9)-(815*x**8)-(311*x**7)-(193*x**6)-(118*x**5)-(75*x**4)-(43*x**3)-(32*x**2)-(11*x)-10)/((x**20-(2252*x**10))+1)))] }
-
-
-
-def A041209():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**16+(4*x**14)+(11*x**12)+(29*x**10)+(105*x**8)+(29*x**6)+(11*x**4)+(4*x**2)+1))/((x**20-(2252*x**10))+1)))] }
-
-
-
-def A041210():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(10*x**18))+(11*x**17))-(43*x**16))+(97*x**15))-(140*x**14))+(657*x**13))-(797*x**12))+(2251*x**11))-(7550*x**10)-(9801*x**9)-(7550*x**8)-(2251*x**7)-(797*x**6)-(657*x**5)-(140*x**4)-(97*x**3)-(43*x**2)-(11*x)-10)/((x**10-(140*x**5)-1)*((x**10+(140*x**5))-1))))] }
-
-
-
-def A041211():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(4*x**16))-(9*x**15))+(13*x**14))-(61*x**13))+(74*x**12))-(209*x**11))+(701*x**10))-(910*x**9)-(701*x**8)-(209*x**7)-(74*x**6)-(61*x**5)-(13*x**4)-(9*x**3)-(4*x**2)-x-1)/((x**10-(140*x**5)-1)*((x**10+(140*x**5))-1))))] }
-
-
-
-def A041212():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(10*x**10))+(11*x**9))-(54*x**8))+(119*x**7))-(530*x**6)-(649*x**5)-(530*x**4)-(119*x**3)-(54*x**2)-(11*x)-10)/((x**2-(3*x)-1)*((x**2+(3*x))-1)*((x**4-(3*x**3))+(10*x**2)+(3*x)+1)*(((x**4+(3*x**3)+(10*x**2))-(3*x))+1))))] }
-
-
-
-def A041213():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(5*x**8))-(11*x**7))+(49*x**6))-(60*x**5)-(49*x**4)-(11*x**3)-(5*x**2)-x-1)/((x**2-(3*x)-1)*((x**2+(3*x))-1)*((x**4-(3*x**3))+(10*x**2)+(3*x)+1)*(((x**4+(3*x**3)+(10*x**2))-(3*x))+1))))] }
-
-
-
-def A041214():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(10*x**18))+(11*x**17))-(76*x**16))+(239*x**15))-(554*x**14))+(5779*x**13))-(12112*x**12))+(42115*x**11))-(264802*x**10)-(306917*x**9)-(264802*x**8)-(42115*x**7)-(12112*x**6)-(5779*x**5)-(554*x**4)-(239*x**3)-(76*x**2)-(11*x)-10)/((x**20-(613834*x**10))+1)))] }
-
-
-
-def A041215():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(7*x**16))-(22*x**15))+(51*x**14))-(532*x**13))+(1115*x**12))-(3877*x**11))+(24377*x**10))-(28254*x**9)-(24377*x**8)-(3877*x**7)-(1115*x**6)-(532*x**5)-(51*x**4)-(22*x**3)-(7*x**2)-x-1)/((x**20-(613834*x**10))+1)))] }
-
-
-
-def A041216():
- x = SR.var('x')
- return { 'ogf': [(((((10+(11*x)+(109*x**2)+(120*x**3)+(109*x**4))-(11*x**5))+(10*x**6))-x**7)/((1-(240*x**4))+x**8))] }
-
-
-
-def A041217():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(10*x**2)+(11*x**3))-(10*x**4))+x**5)-x**6)/((1-(240*x**4))+x**8))] }
-
-
-
-def A041218():
- x = SR.var('x')
- return { 'ogf': [(((10+(11*x)+(10*x**2))-x**3)/((1-(22*x**2))+x**4))] }
-
-
-
-def A041219():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(22*x**2))+x**4))] }
-
-
-
-def A041220():
- x = SR.var('x')
- return { 'ogf': [((11+x)/(1-(22*x)-x**2))] }
-
-
-
-def A041221():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(22*x)-x**2))] }
-
-
-
-def A041222():
- x = SR.var('x')
- return { 'ogf': [(((11+(122*x)+(11*x**2))-x**3)/((1-(244*x**2))+x**4))] }
-
-
-
-def A041223():
- x = SR.var('x')
- return { 'ogf': [(((1+(11*x))-x**2)/((1-(244*x**2))+x**4))] }
-
-
-
-def A041226():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(11*x**8))+(56*x**7))-(67*x**6))+(123*x**5)+(682*x**4)+(123*x**3)+(67*x**2)+(56*x)+11)/(((x**2+(4*x))-1)*((((x**4-(7*x**3))+(19*x**2))-(3*x))+1)*(x**4+(3*x**3)+(19*x**2)+(7*x)+1))))] }
-
-
-
-def A041227():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(5*x**7))+(6*x**6))-(11*x**5))+(61*x**4)+(11*x**3)+(6*x**2)+(5*x)+1)/(((x**2+(4*x))-1)*((((x**4-(7*x**3))+(19*x**2))-(3*x))+1)*(x**4+(3*x**3)+(19*x**2)+(7*x)+1))))] }
-
-
-
-def A041228():
- x = SR.var('x')
- return { 'ogf': [(((((11+(45*x)+(101*x**2)+(449*x**3)+(101*x**4))-(45*x**5))+(11*x**6))-x**7)/(((1-(30*x**2))+x**4)*(1+(30*x**2)+x**4)))] }
-
-
-
-def A041229():
- x = SR.var('x')
- return { 'ogf': [(((((1+(4*x)+(9*x**2)+(40*x**3))-(9*x**4))+(4*x**5))-x**6)/((1-(898*x**4))+x**8))] }
-
-
-
-def A041232():
- x = SR.var('x')
- return { 'ogf': [(((((11+(34*x)+(181*x**2)+(577*x**3)+(181*x**4))-(34*x**5))+(11*x**6))-x**7)/(((1-(6*x))+x**2)*(1+(6*x)+x**2)*(1+(34*x**2)+x**4)))] }
-
-
-
-def A041233():
- x = SR.var('x')
- return { 'ogf': [(((((1+(3*x)+(16*x**2)+(51*x**3))-(16*x**4))+(3*x**5))-x**6)/((1-(1154*x**4))+x**8))] }
-
-
-
-def A041234():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(11*x**18))+(23*x**17))-(34*x**16))+(125*x**15))-(159*x**14))+(1079*x**13))-(1238*x**12))+(4793*x**11))-(6031*x**10)-(16855*x**9)-(6031*x**8)-(4793*x**7)-(1238*x**6)-(1079*x**5)-(159*x**4)-(125*x**3)-(34*x**2)-(23*x)-11)/((x**20-(33710*x**10))+1)))] }
-
-
-
-def A041235():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(11*x**15))+(14*x**14))-(95*x**13))+(109*x**12))-(422*x**11))+(531*x**10))-(1484*x**9)-(531*x**8)-(422*x**7)-(109*x**6)-(95*x**5)-(14*x**4)-(11*x**3)-(3*x**2)-(2*x)-1)/((x**20-(33710*x**10))+1)))] }
-
-
-
-def A041236():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5-(11*x**4))+(23*x**3)+(57*x**2)+(23*x)+11)/((x**6+(114*x**3))-1)))] }
-
-
-
-def A041237():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-(2*x**3))+(5*x**2)+(2*x)+1)/((x**6+(114*x**3))-1)))] }
-
-
-
-def A041238():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(11*x**10))+(23*x**9))-(103*x**8))+(1156*x**7))-(4727*x**6)-(10610*x**5)-(4727*x**4)-(1156*x**3)-(103*x**2)-(23*x)-11)/((x**12-(21220*x**6))+1)))] }
-
-
-
-def A041239():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(9*x**8))-(101*x**7))+(413*x**6))-(927*x**5)-(413*x**4)-(101*x**3)-(9*x**2)-(2*x)-1)/((x**12-(21220*x**6))+1)))] }
-
-
-
-def A041240():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(12*x)-11))/((x**4-(46*x**2))+1)))] }
-
-
-
-def A041241():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(46*x**2))+1)))] }
-
-
-
-def A041246():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(11*x**14))+(12*x**13))-(23*x**12))+(35*x**11))-(58*x**10))+(93*x**9))-(151*x**8)-(244*x**7)-(151*x**6)-(93*x**5)-(58*x**4)-(35*x**3)-(23*x**2)-(12*x)-11)/((x**16-(488*x**8))+1)))] }
-
-
-
-def A041247():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1)*(x**8+(7*x**4)+1))/((x**16-(488*x**8))+1)))] }
-
-
-
-def A041248():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(11*x**6))+(12*x**5))-(23*x**4)-(35*x**3)-(23*x**2)-(12*x)-11)/((x**8-(70*x**4))+1)))] }
-
-
-
-def A041249():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1))/((x**8-(70*x**4))+1)))] }
-
-
-
-def A041250():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(11*x**16))+(12*x**15))-(35*x**14))+(82*x**13))-(117*x**12))+(199*x**11))-(515*x**10))+(1229*x**9)+(1744*x**8)+(1229*x**7)+(515*x**6)+(199*x**5)+(117*x**4)+(82*x**3)+(35*x**2)+(12*x)+11)/((x**18+(3488*x**9))-1)))] }
-
-
-
-def A041251():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-x**15)+(3*x**14))-(7*x**13))+(10*x**12))-(17*x**11))+(44*x**10))-(105*x**9))+(149*x**8)+(105*x**7)+(44*x**6)+(17*x**5)+(10*x**4)+(7*x**3)+(3*x**2)+x+1)/((x**18+(3488*x**9))-1)))] }
-
-
-
-def A041252():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(11*x**6))+(12*x**5))-(35*x**4)-(47*x**3)-(35*x**2)-(12*x)-11)/((x**8-(94*x**4))+1)))] }
-
-
-
-def A041253():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(94*x**4))+1)))] }
-
-
-
-def A041256():
- x = SR.var('x')
- return { 'ogf': [(((((11+(12*x)+(59*x**2)+(71*x**3)+(59*x**4))-(12*x**5))+(11*x**6))-x**7)/(((1-(12*x**2))+x**4)*(1+(12*x**2)+x**4)))] }
-
-
-
-def A041257():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(5*x**2)+(6*x**3))-(5*x**4))+x**5)-x**6)/((1-(142*x**4))+x**8))] }
-
-
-
-def A041258():
- x = SR.var('x')
- return { 'ogf': [(((((11+(12*x)+(83*x**2)+(95*x**3)+(83*x**4))-(12*x**5))+(11*x**6))-x**7)/((1-(190*x**4))+x**8))] }
-
-
-
-def A041259():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(7*x**2)+(8*x**3))-(7*x**4))+x**5)-x**6)/((1-(190*x**4))+x**8))] }
-
-
-
-def A041260():
- x = SR.var('x')
- return { 'ogf': [(((((11+(12*x)+(131*x**2)+(143*x**3)+(131*x**4))-(12*x**5))+(11*x**6))-x**7)/((1-(286*x**4))+x**8))] }
-
-
-
-def A041261():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(11*x**2)+(12*x**3))-(11*x**4))+x**5)-x**6)/((1-(286*x**4))+x**8))] }
-
-
-
-def A041262():
- x = SR.var('x')
- return { 'ogf': [(((11+(12*x)+(11*x**2))-x**3)/((1-(24*x**2))+x**4))] }
-
-
-
-def A041263():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((x**4-(24*x**2))+1))] }
-
-
-
-def A041264():
- x = SR.var('x')
- return { 'ogf': [((12+x)/(1-(24*x)-x**2))] }
-
-
-
-def A041265():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(24*x)-x**2))] }
-
-
-
-def A041266():
- x = SR.var('x')
- return { 'ogf': [(((12+(145*x)+(12*x**2))-x**3)/((1-(290*x**2))+x**4))] }
-
-
-
-def A041267():
- x = SR.var('x')
- return { 'ogf': [(((1+(12*x))-x**2)/((x**4-(290*x**2))+1))] }
-
-
-
-def A041268():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(12*x**2)-(97*x)-12)/(((x**2-(14*x))+1)*(x**2+(14*x)+1))))] }
-
-
-
-def A041269():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(8*x)-1)/(((x**2-(14*x))+1)*(x**2+(14*x)+1))))] }
-
-
-
-def A041270():
- x = SR.var('x')
- return { 'ogf': [(((12+(73*x)+(12*x**2))-x**3)/((1-(146*x**2))+x**4))] }
-
-
-
-def A041272():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(12*x**16))+(49*x**15))-(61*x**14))+(354*x**13))-(1123*x**12))+(3723*x**11))-(19738*x**10))+(23461*x**9)+(113582*x**8)+(23461*x**7)+(19738*x**6)+(3723*x**5)+(1123*x**4)+(354*x**3)+(61*x**2)+(49*x)+12)/(((x**6+(61*x**3))-1)*((x**12-(61*x**9))+(3722*x**6)+(61*x**3)+1))))] }
-
-
-
-def A041273():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-(4*x**15))+(5*x**14))-(29*x**13))+(92*x**12))-(305*x**11))+(1617*x**10))-(1922*x**9))+(9305*x**8)+(1922*x**7)+(1617*x**6)+(305*x**5)+(92*x**4)+(29*x**3)+(5*x**2)+(4*x)+1)/(((x**6+(61*x**3))-1)*((x**12-(61*x**9))+(3722*x**6)+(61*x**3)+1))))] }
-
-
-
-def A041274():
- x = SR.var('x')
- return { 'ogf': [(((3+x)*((4+(15*x))-x**2))/(((1-(10*x))+x**2)*(1+(10*x)+x**2)))] }
-
-
-
-def A041275():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-x**2)/((x**4-(98*x**2))+1))] }
-
-
-
-def A041279():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(3*x)-1)/((x**4-(74*x**2))+1)))] }
-
-
-
-def A041280():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((((x**14-(13*x**13))+(38*x**12))-(75*x**11))+(174*x**10))-(409*x**9))+(978*x**8))-(1782*x**7)-(395*x**6)-(409*x**5)-(160*x**4)-(75*x**3)-(24*x**2)-(13*x)-12))/((x**4-(8*x**2)-1)*((x**4+(8*x**2))-1)*(x**8+(66*x**4)+1))))] }
-
-
-
-def A041281():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(4*x**2)+1)*(x**8+(22*x**4)+1))/((x**4-(8*x**2)-1)*((x**4+(8*x**2))-1)*(x**8+(66*x**4)+1))))] }
-
-
-
-def A041282():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(12*x**18))+(25*x**17))-(62*x**16))+(211*x**15))-(273*x**14))+(757*x**13))-(1030*x**12))+(3847*x**11))-(8724*x**10)-(21295*x**9)-(8724*x**8)-(3847*x**7)-(1030*x**6)-(757*x**5)-(273*x**4)-(211*x**3)-(62*x**2)-(25*x)-12)/((x**20-(42590*x**10))+1)))] }
-
-
-
-def A041283():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(5*x**16))-(17*x**15))+(22*x**14))-(61*x**13))+(83*x**12))-(310*x**11))+(703*x**10))-(1716*x**9)-(703*x**8)-(310*x**7)-(83*x**6)-(61*x**5)-(22*x**4)-(17*x**3)-(5*x**2)-(2*x)-1)/((x**20-(42590*x**10))+1)))] }
-
-
-
-def A041284():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((((12+(13*x)+(99*x**2)+(150*x**3))-(38*x**4))+(13*x**5))-x**6))/((1-(498*x**4))+x**8))] }
-
-
-
-def A041285():
- x = SR.var('x')
- return { 'ogf': [(((((1+(2*x)+(9*x**2)+(20*x**3))-(9*x**4))+(2*x**5))-x**6)/((1-(498*x**4))+x**8))] }
-
-
-
-def A041286():
- x = SR.var('x')
- return { 'ogf': [(((12+(25*x)+(12*x**2))-x**3)/((1-(50*x**2))+x**4))] }
-
-
-
-def A041287():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((x**4-(50*x**2))+1))] }
-
-
-
-def A041290():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(12*x**14))+(13*x**13))-(25*x**12))+(88*x**11))-(1081*x**10))+(3331*x**9))-(4412*x**8)-(7743*x**7)-(4412*x**6)-(3331*x**5)-(1081*x**4)-(88*x**3)-(25*x**2)-(13*x)-12)/((x**16-(15486*x**8))+1)))] }
-
-
-
-def A041291():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(7*x**11))+(86*x**10))-(265*x**9))+(351*x**8))-(616*x**7)-(351*x**6)-(265*x**5)-(86*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**16-(15486*x**8))+1)))] }
-
-
-
-def A041292():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(12*x**18))+(13*x**17))-(25*x**16))+(38*x**15))-(63*x**14))+(227*x**13))-(290*x**12))+(517*x**11))-(807*x**10)-(1324*x**9)-(807*x**8)-(517*x**7)-(290*x**6)-(227*x**5)-(63*x**4)-(38*x**3)-(25*x**2)-(13*x)-12)/((x**20-(2648*x**10))+1)))] }
-
-
-
-def A041293():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1)*(x**10-(21*x**5)-1))/((x**20-(2648*x**10))+1)))] }
-
-
-
-def A041294():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(12*x**14))+(13*x**13))-(25*x**12))+(38*x**11))-(215*x**10))+(253*x**9))-(468*x**8)-(721*x**7)-(468*x**6)-(253*x**5)-(215*x**4)-(38*x**3)-(25*x**2)-(13*x)-12)/((x**4-(6*x**2)-1)*((x**4+(6*x**2))-1)*(x**8+(38*x**4)+1))))] }
-
-
-
-def A041295():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1)*(x**8+(19*x**4)+1))/((x**4-(6*x**2)-1)*((x**4+(6*x**2))-1)*(x**8+(38*x**4)+1))))] }
-
-
-
-def A041296():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(12*x**18))+(13*x**17))-(38*x**16))+(165*x**15))-(203*x**14))+(571*x**13))-(774*x**12))+(3667*x**11))-(8108*x**10)-(11775*x**9)-(8108*x**8)-(3667*x**7)-(774*x**6)-(571*x**5)-(203*x**4)-(165*x**3)-(38*x**2)-(13*x)-12)/((x**20-(23550*x**10))+1)))] }
-
-
-
-def A041297():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(3*x**16))-(13*x**15))+(16*x**14))-(45*x**13))+(61*x**12))-(289*x**11))+(639*x**10))-(928*x**9)-(639*x**8)-(289*x**7)-(61*x**6)-(45*x**5)-(16*x**4)-(13*x**3)-(3*x**2)-x-1)/((x**20-(23550*x**10))+1)))] }
-
-
-
-def A041298():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(12*x**18))+(13*x**17))-(38*x**16))+(51*x**15))-(140*x**14))+(1731*x**13))-(3602*x**12))+(5333*x**11))-(14268*x**10)-(19601*x**9)-(14268*x**8)-(5333*x**7)-(3602*x**6)-(1731*x**5)-(140*x**4)-(51*x**3)-(38*x**2)-(13*x)-12)/(((x**10-(198*x**5))+1)*(x**10+(198*x**5)+1))))] }
-
-
-
-def A041302():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(12*x**10))+(13*x**9))-(64*x**8))+(397*x**7))-(1652*x**6)-(2049*x**5)-(1652*x**4)-(397*x**3)-(64*x**2)-(13*x)-12)/((x**6-(64*x**3)-1)*((x**6+(64*x**3))-1))))] }
-
-
-
-def A041303():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(5*x**8))-(31*x**7))+(129*x**6))-(160*x**5)-(129*x**4)-(31*x**3)-(5*x**2)-x-1)/((x**6-(64*x**3)-1)*((x**6+(64*x**3))-1))))] }
-
-
-
-def A041304():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(12*x**10))+(13*x**9))-(77*x**8))+(167*x**7))-(912*x**6)-(1079*x**5)-(912*x**4)-(167*x**3)-(77*x**2)-(13*x)-12)/(((x**4-(13*x**2))+1)*(x**8+(13*x**6)+(168*x**4)+(13*x**2)+1))))] }
-
-
-
-def A041305():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(6*x**8))-(13*x**7))+(71*x**6))-(84*x**5)-(71*x**4)-(13*x**3)-(6*x**2)-x-1)/(((x**4-(13*x**2))+1)*(x**8+(13*x**6)+(168*x**4)+(13*x**2)+1))))] }
-
-
-
-def A041308():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(12*x**6))+(13*x**5))-(155*x**4)-(168*x**3)-(155*x**2)-(13*x)-12)/((x**8-(336*x**4))+1)))] }
-
-
-
-def A041309():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(13*x**2)+1))/((x**8-(336*x**4))+1)))] }
-
-
-
-def A041310():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(12*x**2)-(13*x)-12)/((x**4-(26*x**2))+1)))] }
-
-
-
-def A041311():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(26*x**2))+1)))] }
-
-
-
-def A041312():
- x = SR.var('x')
- return { 'ogf': [((13+x)/(1-(26*x)-x**2))] }
-
-
-
-def A041314():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(13*x**2)-(170*x)-13)/((x**4-(340*x**2))+1)))] }
-
-
-
-def A041315():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(13*x)-1)/((x**4-(340*x**2))+1)))] }
-
-
-
-def A041318():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(13*x**8))+(79*x**7))-(92*x**6))+(171*x**5)+(1118*x**4)+(171*x**3)+(92*x**2)+(79*x)+13)/((x**10+(2236*x**5))-1)))] }
-
-
-
-def A041319():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(6*x**7))+(7*x**6))-(13*x**5))+(85*x**4)+(13*x**3)+(7*x**2)+(6*x)+1)/((x**10+(2236*x**5))-1)))] }
-
-
-
-def A041320():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(13*x**6))+(66*x**5))-(277*x**4)-(1451*x**3)-(277*x**2)-(66*x)-13)/((x**8-(2902*x**4))+1)))] }
-
-
-
-def A041321():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(5*x)-1)*(x**4+(22*x**2)+1))/((x**8-(2902*x**4))+1)))] }
-
-
-
-def A041322():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(13*x**10))+(53*x**9))-(119*x**8))+(172*x**7))-(463*x**6)-(2024*x**5)-(463*x**4)-(172*x**3)-(119*x**2)-(53*x)-13)/(((x**4-(16*x**2))+1)*(x**8+(16*x**6)+(255*x**4)+(16*x**2)+1))))] }
-
-
-
-def A041323():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(4*x**9))+(9*x**8))-(13*x**7))+(35*x**6))-(153*x**5)-(35*x**4)-(13*x**3)-(9*x**2)-(4*x)-1)/(((x**4-(16*x**2))+1)*(x**8+(16*x**6)+(255*x**4)+(16*x**2)+1))))] }
-
-
-
-def A041324():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(13*x**6))+(40*x**5))-(53*x**4)-(199*x**3)-(53*x**2)-(40*x)-13)/(((x**4-(20*x**2))+1)*(x**4+(20*x**2)+1))))] }
-
-
-
-def A041325():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(5*x**2)+1))/(((x**4-(20*x**2))+1)*(x**4+(20*x**2)+1))))] }
-
-
-
-def A041326():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(13*x**14))+(40*x**13))-(133*x**12))+(306*x**11))-(2581*x**10))+(5468*x**9))-(18985*x**8)-(62423*x**7)-(18985*x**6)-(5468*x**5)-(2581*x**4)-(306*x**3)-(133*x**2)-(40*x)-13)/((x**16-(124846*x**8))+1)))] }
-
-
-
-def A041327():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(10*x**12))-(23*x**11))+(194*x**10))-(411*x**9))+(1427*x**8))-(4692*x**7)-(1427*x**6)-(411*x**5)-(194*x**4)-(23*x**3)-(10*x**2)-(3*x)-1)/((x**16-(124846*x**8))+1)))] }
-
-
-
-def A041328():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(13*x**10))+(27*x**9))-(40*x**8))+(507*x**7))-(547*x**6)-(1601*x**5)-(547*x**4)-(507*x**3)-(40*x**2)-(27*x)-13)/((x**12-(3202*x**6))+1)))] }
-
-
-
-def A041329():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(38*x**7))+(41*x**6))-(120*x**5)-(41*x**4)-(38*x**3)-(3*x**2)-(2*x)-1)/((x**12-(3202*x**6))+1)))] }
-
-
-
-def A041332():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((x**6-(14*x**5))+(41*x**4))-(108*x**3)-(53*x**2)-(14*x)-13))/((x**2-(4*x)-1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1))))] }
-
-
-
-def A041333():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(6*x**2)+1))/((x**2-(4*x)-1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1))))] }
-
-
-
-def A041336():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(14*x)-13))/((x**4-(54*x**2))+1)))] }
-
-
-
-def A041337():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(54*x**2))+1)))] }
-
-
-
-def A041338():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(13*x**10))+(14*x**9))-(27*x**8))+(230*x**7))-(257*x**6)-(487*x**5)-(257*x**4)-(230*x**3)-(27*x**2)-(14*x)-13)/((x**12-(974*x**6))+1)))] }
-
-
-
-def A041339():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(18*x**3)-1))/((x**12-(974*x**6))+1)))] }
-
-
-
-def A041340():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(13*x**22))+(14*x**21))-(27*x**20))+(95*x**19))-(217*x**18))+(312*x**17))-(841*x**16))+(1153*x**15))-(3147*x**14))+(10594*x**13))-(13741*x**12)-(24335*x**11)-(13741*x**10)-(10594*x**9)-(3147*x**8)-(1153*x**7)-(841*x**6)-(312*x**5)-(217*x**4)-(95*x**3)-(27*x**2)-(14*x)-13)/((x**24-(48670*x**12))+1)))] }
-
-
-
-def A041341():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(2*x**20))-(7*x**19))+(16*x**18))-(23*x**17))+(62*x**16))-(85*x**15))+(232*x**14))-(781*x**13))+(1013*x**12))-(1794*x**11)-(1013*x**10)-(781*x**9)-(232*x**8)-(85*x**7)-(62*x**6)-(23*x**5)-(16*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**24-(48670*x**12))+1)))] }
-
-
-
-def A041342():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(13*x**8))+(14*x**7))-(27*x**6))+(41*x**5)+(68*x**4)+(41*x**3)+(27*x**2)+(14*x)+13)/((x**10+(136*x**5))-1)))] }
-
-
-
-def A041343():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1))/((x**10+(136*x**5))-1)))] }
-
-
-
-def A041344():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(13*x**18))+(14*x**17))-(27*x**16))+(41*x**15))-(150*x**14))+(641*x**13))-(2073*x**12))+(2714*x**11))-(4787*x**10)-(7501*x**9)-(4787*x**8)-(2714*x**7)-(2073*x**6)-(641*x**5)-(150*x**4)-(41*x**3)-(27*x**2)-(14*x)-13)/((x**20-(15002*x**10))+1)))] }
-
-
-
-def A041345():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(3*x**15))+(11*x**14))-(47*x**13))+(152*x**12))-(199*x**11))+(351*x**10))-(550*x**9)-(351*x**8)-(199*x**7)-(152*x**6)-(47*x**5)-(11*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**20-(15002*x**10))+1)))] }
-
-
-
-def A041346():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(13*x**10))+(14*x**9))-(41*x**8))+(547*x**7))-(1135*x**6)-(1682*x**5)-(1135*x**4)-(547*x**3)-(41*x**2)-(14*x)-13)/((x**12-(3364*x**6))+1)))] }
-
-
-
-def A041347():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(40*x**7))+(83*x**6))-(123*x**5)-(83*x**4)-(40*x**3)-(3*x**2)-x-1)/((x**12-(3364*x**6))+1)))] }
-
-
-
-def A041348():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(13*x**14))+(14*x**13))-(41*x**12))+(96*x**11))-(617*x**10))+(1330*x**9))-(3277*x**8)-(4607*x**7)-(3277*x**6)-(1330*x**5)-(617*x**4)-(96*x**3)-(41*x**2)-(14*x)-13)/(((x**8-(96*x**4))+1)*(x**8+(96*x**4)+1))))] }
-
-
-
-def A041349():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(3*x**12))-(7*x**11))+(45*x**10))-(97*x**9))+(239*x**8))-(336*x**7)-(239*x**6)-(97*x**5)-(45*x**4)-(7*x**3)-(3*x**2)-x-1)/(((x**8-(96*x**4))+1)*(x**8+(96*x**4)+1))))] }
-
-
-
-def A041350():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(13*x**6))+(14*x**5))-(41*x**4)-(55*x**3)-(41*x**2)-(14*x)-13)/((x**8-(110*x**4))+1)))] }
-
-
-
-def A041351():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(110*x**4))+1)))] }
-
-
-
-def A041356():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(13*x**6))+(14*x**5))-(83*x**4)-(97*x**3)-(83*x**2)-(14*x)-13)/(((x**2-(4*x))+1)*(x**2+(4*x)+1)*(x**4+(14*x**2)+1))))] }
-
-
-
-def A041357():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(7*x**2)+1))/(((x**2-(4*x))+1)*(x**2+(4*x)+1)*(x**4+(14*x**2)+1))))] }
-
-
-
-def A041360():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(13*x**6))+(14*x**5))-(181*x**4)-(195*x**3)-(181*x**2)-(14*x)-13)/((x**8-(390*x**4))+1)))] }
-
-
-
-def A041361():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(14*x**2)+1))/((x**8-(390*x**4))+1)))] }
-
-
-
-def A041362():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(13*x**2)-(14*x)-13)/((x**4-(28*x**2))+1)))] }
-
-
-
-def A041363():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(28*x**2))+1)))] }
-
-
-
-def A041364():
- x = SR.var('x')
- return { 'ogf': [((14+x)/(1-(28*x)-x**2))] }
-
-
-
-def A041365():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(28*x)-x**2))] }
-
-
-
-def A041366():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(14*x**2)-(197*x)-14)/((x**4-(394*x**2))+1)))] }
-
-
-
-def A041367():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(14*x)-1)/((x**4-(394*x**2))+1)))] }
-
-
-
-def A041370():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(14*x**2)-(99*x)-14)/((x**2-(14*x)-1)*((x**2+(14*x))-1))))] }
-
-
-
-def A041371():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(7*x)-1)/((x**2-(14*x)-1)*((x**2+(14*x))-1))))] }
-
-
-
-def A041374():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(14*x**12))+(57*x**11))-(71*x**10))+(199*x**9))-(469*x**8))+(668*x**7)+(3141*x**6)+(668*x**5)+(469*x**4)+(199*x**3)+(71*x**2)+(57*x)+14)/((x**14+(6282*x**7))-1)))] }
-
-
-
-def A041375():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-(4*x**11))+(5*x**10))-(14*x**9))+(33*x**8))-(47*x**7))+(221*x**6)+(47*x**5)+(33*x**4)+(14*x**3)+(5*x**2)+(4*x)+1)/((x**14+(6282*x**7))-1)))] }
-
-
-
-def A041376():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(14*x**2)-(57*x)-14)/((x**4-(114*x**2))+1)))] }
-
-
-
-def A041377():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**4-(114*x**2))+1)))] }
-
-
-
-def A041378():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(14*x**14))+(43*x**13))-(57*x**12))+(100*x**11))-(657*x**10))+(757*x**9))-(1414*x**8)-(4999*x**7)-(1414*x**6)-(757*x**5)-(657*x**4)-(100*x**3)-(57*x**2)-(43*x)-14)/(((x**8-(100*x**4))+1)*(x**8+(100*x**4)+1))))] }
-
-
-
-def A041379():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(4*x**12))-(7*x**11))+(46*x**10))-(53*x**9))+(99*x**8))-(350*x**7)-(99*x**6)-(53*x**5)-(46*x**4)-(7*x**3)-(4*x**2)-(3*x)-1)/(((x**8-(100*x**4))+1)*(x**8+(100*x**4)+1))))] }
-
-
-
-def A041380():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(14*x**14))+(43*x**13))-(272*x**12))+(315*x**11))-(1532*x**10))+(1847*x**9))-(12614*x**8)-(39689*x**7)-(12614*x**6)-(1847*x**5)-(1532*x**4)-(315*x**3)-(272*x**2)-(43*x)-14)/((x**16-(79378*x**8))+1)))] }
-
-
-
-def A041381():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(19*x**12))-(22*x**11))+(107*x**10))-(129*x**9))+(881*x**8))-(2772*x**7)-(881*x**6)-(129*x**5)-(107*x**4)-(22*x**3)-(19*x**2)-(3*x)-1)/((x**16-(79378*x**8))+1)))] }
-
-
-
-def A041382():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(14*x**14))+(29*x**13))-(43*x**12))+(244*x**11))-(3459*x**10))+(17539*x**9))-(20998*x**8)-(59535*x**7)-(20998*x**6)-(17539*x**5)-(3459*x**4)-(244*x**3)-(43*x**2)-(29*x)-14)/((x**16-(119070*x**8))+1)))] }
-
-
-
-def A041383():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(17*x**11))+(241*x**10))-(1222*x**9))+(1463*x**8))-(4148*x**7)-(1463*x**6)-(1222*x**5)-(241*x**4)-(17*x**3)-(3*x**2)-(2*x)-1)/((x**16-(119070*x**8))+1)))] }
-
-
-
-def A041384():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(14*x**14))+(29*x**13))-(43*x**12))+(72*x**11))-(187*x**10))+(259*x**9))-(446*x**8)-(1151*x**7)-(446*x**6)-(259*x**5)-(187*x**4)-(72*x**3)-(43*x**2)-(29*x)-14)/(((x**8-(48*x**4))+1)*(x**8+(48*x**4)+1))))] }
-
-
-
-def A041385():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(5*x**11))+(13*x**10))-(18*x**9))+(31*x**8))-(80*x**7)-(31*x**6)-(18*x**5)-(13*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/(((x**8-(48*x**4))+1)*(x**8+(48*x**4)+1))))] }
-
-
-
-def A041386():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(14*x**10))+(29*x**9))-(72*x**8))+(101*x**7))-(274*x**6)-(649*x**5)-(274*x**4)-(101*x**3)-(72*x**2)-(29*x)-14)/((x**2-(3*x)-1)*((x**2+(3*x))-1)*((x**4-(3*x**3))+(10*x**2)+(3*x)+1)*(((x**4+(3*x**3)+(10*x**2))-(3*x))+1))))] }
-
-
-
-def A041387():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-(2*x**3))+(5*x**2)+(2*x)+1)*(x**6-(9*x**3)-1))/((x**2-(3*x)-1)*((x**2+(3*x))-1)*((x**4-(3*x**3))+(10*x**2)+(3*x)+1)*(((x**4+(3*x**3)+(10*x**2))-(3*x))+1))))] }
-
-
-
-def A041388():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(14*x**14))+(29*x**13))-(159*x**12))+(506*x**11))-(1171*x**10))+(4019*x**9))-(21266*x**8)-(46551*x**7)-(21266*x**6)-(4019*x**5)-(1171*x**4)-(506*x**3)-(159*x**2)-(29*x)-14)/((x**16-(93102*x**8))+1)))] }
-
-
-
-def A041389():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(11*x**12))-(35*x**11))+(81*x**10))-(278*x**9))+(1471*x**8))-(3220*x**7)-(1471*x**6)-(278*x**5)-(81*x**4)-(35*x**3)-(11*x**2)-(2*x)-1)/((x**16-(93102*x**8))+1)))] }
-
-
-
-def A041390():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(15*x)-14))/((x**4-(58*x**2))+1)))] }
-
-
-
-def A041391():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(58*x**2))+1)))] }
-
-
-
-def A041400():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(14*x**6))+(15*x**5))-(29*x**4)-(44*x**3)-(29*x**2)-(15*x)-14)/((x**8-(88*x**4))+1)))] }
-
-
-
-def A041401():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1))/((x**8-(88*x**4))+1)))] }
-
-
-
-def A041402():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(14*x**10))+(15*x**9))-(44*x**8))+(147*x**7))-(338*x**6)-(485*x**5)-(338*x**4)-(147*x**3)-(44*x**2)-(15*x)-14)/(((x**4-(10*x**2))+1)*(x**8+(10*x**6)+(99*x**4)+(10*x**2)+1))))] }
-
-
-
-def A041403():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(10*x**7))+(23*x**6))-(33*x**5)-(23*x**4)-(10*x**3)-(3*x**2)-x-1)/(((x**4-(10*x**2))+1)*(x**8+(10*x**6)+(99*x**4)+(10*x**2)+1))))] }
-
-
-
-def A041406():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(14*x**8))+(15*x**7))-(59*x**6))+(192*x**5)+(251*x**4)+(192*x**3)+(59*x**2)+(15*x)+14)/((x**10+(502*x**5))-1)))] }
-
-
-
-def A041407():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-x**7)+(4*x**6))-(13*x**5))+(17*x**4)+(13*x**3)+(4*x**2)+x+1)/((x**10+(502*x**5))-1)))] }
-
-
-
-def A041408():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(14*x**6))+(15*x**5))-(59*x**4)-(74*x**3)-(59*x**2)-(15*x)-14)/((x**8-(148*x**4))+1)))] }
-
-
-
-def A041409():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(5*x**2)+1))/((x**8-(148*x**4))+1)))] }
-
-
-
-def A041410():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(14*x**6))+(15*x**5))-(74*x**4)-(89*x**3)-(74*x**2)-(15*x)-14)/((x**8-(178*x**4))+1)))] }
-
-
-
-def A041411():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(6*x**2)+1))/((x**8-(178*x**4))+1)))] }
-
-
-
-def A041412():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(14*x**10))+(15*x**9))-(104*x**8))+(223*x**7))-(1442*x**6)-(1665*x**5)-(1442*x**4)-(223*x**3)-(104*x**2)-(15*x)-14)/(((x**4-(15*x**2))+1)*(x**8+(15*x**6)+(224*x**4)+(15*x**2)+1))))] }
-
-
-
-def A041413():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(7*x**8))-(15*x**7))+(97*x**6))-(112*x**5)-(97*x**4)-(15*x**3)-(7*x**2)-x-1)/(((x**4-(15*x**2))+1)*(x**8+(15*x**6)+(224*x**4)+(15*x**2)+1))))] }
-
-
-
-def A041414():
- x = SR.var('x')
- return { 'ogf': [(((((14+(15*x)+(134*x**2)+(149*x**3)+(134*x**4))-(15*x**5))+(14*x**6))-x**7)/((1-(298*x**4))+x**8))] }
-
-
-
-def A041415():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(10*x**2)+1))/((x**8-(298*x**4))+1)))] }
-
-
-
-def A041416():
- x = SR.var('x')
- return { 'ogf': [(((((14+(15*x)+(209*x**2)+(224*x**3)+(209*x**4))-(15*x**5))+(14*x**6))-x**7)/((1-(448*x**4))+x**8))] }
-
-
-
-def A041417():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(15*x**2)+1))/((x**8-(448*x**4))+1)))] }
-
-
-
-def A041418():
- x = SR.var('x')
- return { 'ogf': [(((14+(15*x)+(14*x**2))-x**3)/((1-(30*x**2))+x**4))] }
-
-
-
-def A041419():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(30*x**2))+1)))] }
-
-
-
-def A041420():
- x = SR.var('x')
- return { 'ogf': [((15+x)/(1-(30*x)-x**2))] }
-
-
-
-def A041421():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(30*x)-x**2))] }
-
-
-
-def A041422():
- x = SR.var('x')
- return { 'ogf': [(((15+(226*x)+(15*x**2))-x**3)/((1-(452*x**2))+x**4))] }
-
-
-
-def A041423():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(15*x)-1)/((x**4-(452*x**2))+1)))] }
-
-
-
-def A041424():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(15*x**2)-(151*x)-15)/((x**4-(302*x**2))+1)))] }
-
-
-
-def A041425():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(10*x)-1)/((x**4-(302*x**2))+1)))] }
-
-
-
-def A041426():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(15*x**8))+(106*x**7))-(121*x**6))+(227*x**5)+(1710*x**4)+(227*x**3)+(121*x**2)+(106*x)+15)/((x**10+(3420*x**5))-1)))] }
-
-
-
-def A041427():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(7*x**7))+(8*x**6))-(15*x**5))+(113*x**4)+(15*x**3)+(8*x**2)+(7*x)+1)/((x**10+(3420*x**5))-1)))] }
-
-
-
-def A041428():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(15*x**2)-(91*x)-15)/((x**4-(182*x**2))+1)))] }
-
-
-
-def A041429():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(6*x)-1)/((x**4-(182*x**2))+1)))] }
-
-
-
-def A041430():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(15*x**2)-(76*x)-15)/((x**4-(152*x**2))+1)))] }
-
-
-
-def A041431():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(5*x)-1)/((x**4-(152*x**2))+1)))] }
-
-
-
-def A041432():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(15*x**10))+(61*x**9))-(198*x**8))+(1447*x**7))-(4539*x**6)-(19603*x**5)-(4539*x**4)-(1447*x**3)-(198*x**2)-(61*x)-15)/((x**6-(198*x**3)-1)*((x**6+(198*x**3))-1))))] }
-
-
-
-def A041433():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(4*x**9))+(13*x**8))-(95*x**7))+(298*x**6))-(1287*x**5)-(298*x**4)-(95*x**3)-(13*x**2)-(4*x)-1)/((x**6-(198*x**3)-1)*((x**6+(198*x**3))-1))))] }
-
-
-
-def A041434():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**21-(15*x**20))+(46*x**19))-(61*x**18))+(229*x**17))-(290*x**16))+(519*x**15))-(809*x**14))+(1328*x**13))-(4793*x**12))+(6121*x**11)+(23156*x**10)+(6121*x**9)+(4793*x**8)+(1328*x**7)+(809*x**6)+(519*x**5)+(290*x**4)+(229*x**3)+(61*x**2)+(46*x)+15)/((x**22+(46312*x**11))-1)))] }
-
-
-
-def A041435():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**20-(3*x**19))+(4*x**18))-(15*x**17))+(19*x**16))-(34*x**15))+(53*x**14))-(87*x**13))+(314*x**12))-(401*x**11))+(1517*x**10)+(401*x**9)+(314*x**8)+(87*x**7)+(53*x**6)+(34*x**5)+(19*x**4)+(15*x**3)+(4*x**2)+(3*x)+1)/((x**22+(46312*x**11))-1)))] }
-
-
-
-def A041436():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(15*x**14))+(46*x**13))-(107*x**12))+(153*x**11))-(413*x**10))+(566*x**9))-(1545*x**8)-(5201*x**7)-(1545*x**6)-(566*x**5)-(413*x**4)-(153*x**3)-(107*x**2)-(46*x)-15)/((x**4-(10*x**2)-1)*((x**4+(10*x**2))-1)*(x**8+(102*x**4)+1))))] }
-
-
-
-def A041437():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(7*x**12))-(10*x**11))+(27*x**10))-(37*x**9))+(101*x**8))-(340*x**7)-(101*x**6)-(37*x**5)-(27*x**4)-(10*x**3)-(7*x**2)-(3*x)-1)/((x**4-(10*x**2)-1)*((x**4+(10*x**2))-1)*(x**8+(102*x**4)+1))))] }
-
-
-
-def A041438():
- x = SR.var('x')
- return { 'ogf': [(((15+(46*x)+(15*x**2))-x**3)/((1-(92*x**2))+x**4))] }
-
-
-
-def A041439():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(3*x)-1)/((x**4-(92*x**2))+1)))] }
-
-
-
-def A041442():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(15*x**18))+(31*x**17))-(46*x**16))+(77*x**15))-(585*x**14))+(5927*x**13))-(42074*x**12))+(48001*x**11))-(90075*x**10)-(228151*x**9)-(90075*x**8)-(48001*x**7)-(42074*x**6)-(5927*x**5)-(585*x**4)-(77*x**3)-(46*x**2)-(31*x)-15)/((x**20-(456302*x**10))+1)))] }
-
-
-
-def A041443():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(5*x**15))+(38*x**14))-(385*x**13))+(2733*x**12))-(3118*x**11))+(5851*x**10))-(14820*x**9)-(5851*x**8)-(3118*x**7)-(2733*x**6)-(385*x**5)-(38*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/((x**20-(456302*x**10))+1)))] }
-
-
-
-def A041444():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(15*x**14))+(31*x**13))-(77*x**12))+(108*x**11))-(1589*x**10))+(1697*x**9))-(4983*x**8)-(11663*x**7)-(4983*x**6)-(1697*x**5)-(1589*x**4)-(108*x**3)-(77*x**2)-(31*x)-15)/((x**16-(23326*x**8))+1)))] }
-
-
-
-def A041445():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(5*x**12))-(7*x**11))+(103*x**10))-(110*x**9))+(323*x**8))-(756*x**7)-(323*x**6)-(110*x**5)-(103*x**4)-(7*x**3)-(5*x**2)-(2*x)-1)/((x**16-(23326*x**8))+1)))] }
-
-
-
-def A041447():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((1+(2*x)+(11*x**2)+(13*x**3)+(37*x**4)+(161*x**5)+(2452*x**6)+(9969*x**7)+(22390*x**8)+(32359*x**9)+(184185*x**10)+(400729*x**11))-(184185*x**12))+(32359*x**13))-(22390*x**14))+(9969*x**15))-(2452*x**16))+(161*x**17))-(37*x**18))+(13*x**19))-(11*x**20))+(2*x**21))-x**22)/((1-(12390240*x**12))+x**24))] }
-
-
-
-def A041448():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(16*x)-15))/(((x**2-(8*x))+1)*(x**2+(8*x)+1))))] }
-
-
-
-def A041449():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/(((x**2-(8*x))+1)*(x**2+(8*x)+1))))] }
-
-
-
-def A041452():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(15*x**18))+(16*x**17))-(31*x**16))+(109*x**15))-(140*x**14))+(2069*x**13))-(2209*x**12))+(8696*x**11))-(10905*x**10)-(19601*x**9)-(10905*x**8)-(8696*x**7)-(2209*x**6)-(2069*x**5)-(140*x**4)-(109*x**3)-(31*x**2)-(16*x)-15)/(((x**10-(198*x**5))+1)*(x**10+(198*x**5)+1))))] }
-
-
-
-def A041453():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(7*x**15))+(9*x**14))-(133*x**13))+(142*x**12))-(559*x**11))+(701*x**10))-(1260*x**9)-(701*x**8)-(559*x**7)-(142*x**6)-(133*x**5)-(9*x**4)-(7*x**3)-(2*x**2)-x-1)/(((x**10-(198*x**5))+1)*(x**10+(198*x**5)+1))))] }
-
-
-
-def A041454():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(15*x**18))+(16*x**17))-(31*x**16))+(78*x**15))-(265*x**14))+(4053*x**13))-(12424*x**12))+(28901*x**11))-(41325*x**10)-(70226*x**9)-(41325*x**8)-(28901*x**7)-(12424*x**6)-(4053*x**5)-(265*x**4)-(78*x**3)-(31*x**2)-(16*x)-15)/((x**20-(140452*x**10))+1)))] }
-
-
-
-def A041455():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(5*x**15))+(17*x**14))-(260*x**13))+(797*x**12))-(1854*x**11))+(2651*x**10))-(4505*x**9)-(2651*x**8)-(1854*x**7)-(797*x**6)-(260*x**5)-(17*x**4)-(5*x**3)-(2*x**2)-x-1)/((x**20-(140452*x**10))+1)))] }
-
-
-
-def A041458():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(15*x**18))+(16*x**17))-(31*x**16))+(47*x**15))-(360*x**14))+(2207*x**13))-(15809*x**12))+(18016*x**11))-(33825*x**10)-(51841*x**9)-(33825*x**8)-(18016*x**7)-(15809*x**6)-(2207*x**5)-(360*x**4)-(47*x**3)-(31*x**2)-(16*x)-15)/(((x**10-(322*x**5))+1)*(x**10+(322*x**5)+1))))] }
-
-
-
-def A041459():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(3*x**15))+(23*x**14))-(141*x**13))+(1010*x**12))-(1151*x**11))+(2161*x**10))-(3312*x**9)-(2161*x**8)-(1151*x**7)-(1010*x**6)-(141*x**5)-(23*x**4)-(3*x**3)-(2*x**2)-x-1)/(((x**10-(322*x**5))+1)*(x**10+(322*x**5)+1))))] }
-
-
-
-def A041460():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(15*x**18))+(16*x**17))-(47*x**16))+(251*x**15))-(298*x**14))+(4423*x**13))-(4721*x**12))+(28028*x**11))-(60777*x**10)-(88805*x**9)-(60777*x**8)-(28028*x**7)-(4721*x**6)-(4423*x**5)-(298*x**4)-(251*x**3)-(47*x**2)-(16*x)-15)/((x**20-(177610*x**10))+1)))] }
-
-
-
-def A041461():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(3*x**16))-(16*x**15))+(19*x**14))-(282*x**13))+(301*x**12))-(1787*x**11))+(3875*x**10))-(5662*x**9)-(3875*x**8)-(1787*x**7)-(301*x**6)-(282*x**5)-(19*x**4)-(16*x**3)-(3*x**2)-x-1)/((x**20-(177610*x**10))+1)))] }
-
-
-
-def A041463():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(3*x**20))-(4*x**19))+(7*x**18))-(67*x**17))+(74*x**16))-(733*x**15))+(807*x**14))-(1540*x**13))+(3887*x**12))-(5427*x**11)-(3887*x**10)-(1540*x**9)-(807*x**8)-(733*x**7)-(74*x**6)-(67*x**5)-(7*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**24-(170584*x**12))+1)))] }
-
-
-
-def A041464():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(15*x**6))+(16*x**5))-(47*x**4)-(63*x**3)-(47*x**2)-(16*x)-15)/((x**8-(126*x**4))+1)))] }
-
-
-
-def A041465():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(126*x**4))+1)))] }
-
-
-
-def A041468():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(15*x**12))+(16*x**11))-(79*x**10))+(253*x**9))-(838*x**8))+(3605*x**7)+(4443*x**6)+(3605*x**5)+(838*x**4)+(253*x**3)+(79*x**2)+(16*x)+15)/((x**14+(8886*x**7))-1)))] }
-
-
-
-def A041469():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-x**11)+(5*x**10))-(16*x**9))+(53*x**8))-(228*x**7))+(281*x**6)+(228*x**5)+(53*x**4)+(16*x**3)+(5*x**2)+x+1)/((x**14+(8886*x**7))-1)))] }
-
-
-
-def A041472():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(15*x**6))+(16*x**5))-(111*x**4)-(127*x**3)-(111*x**2)-(16*x)-15)/(((x**4-(16*x**2))+1)*(x**4+(16*x**2)+1))))] }
-
-
-
-def A041473():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(8*x**2)+1))/(((x**4-(16*x**2))+1)*(x**4+(16*x**2)+1))))] }
-
-
-
-def A041476():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(15*x**6))+(16*x**5))-(239*x**4)-(255*x**3)-(239*x**2)-(16*x)-15)/((x**8-(510*x**4))+1)))] }
-
-
-
-def A041477():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(16*x**2)+1))/((x**8-(510*x**4))+1)))] }
-
-
-
-def A041478():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(15*x**2)-(16*x)-15)/((x**4-(32*x**2))+1)))] }
-
-
-
-def A041479():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(32*x**2))+1)))] }
-
-
-
-def A041480():
- x = SR.var('x')
- return { 'ogf': [((16+x)/(1-(32*x)-x**2))] }
-
-
-
-def A041481():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(32*x)-x**2))] }
-
-
-
-def A041482():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(16*x**2)-(257*x)-16)/((x**4-(514*x**2))+1)))] }
-
-
-
-def A041483():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(16*x)-1)/((x**4-(514*x**2))+1)))] }
-
-
-
-def A041484():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(16*x**18))+(161*x**17))-(177*x**16))+(515*x**15))-(1722*x**14))+(7403*x**13))-(23931*x**12))+(55265*x**11))-(79196*x**10)-(847225*x**9)-(79196*x**8)-(55265*x**7)-(23931*x**6)-(7403*x**5)-(1722*x**4)-(515*x**3)-(177*x**2)-(161*x)-16)/((x**20-(1694450*x**10))+1)))] }
-
-
-
-def A041485():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(10*x**17))+(11*x**16))-(32*x**15))+(107*x**14))-(460*x**13))+(1487*x**12))-(3434*x**11))+(4921*x**10))-(52644*x**9)-(4921*x**8)-(3434*x**7)-(1487*x**6)-(460*x**5)-(107*x**4)-(32*x**3)-(11*x**2)-(10*x)-1)/((x**20-(1694450*x**10))+1)))] }
-
-
-
-def A041486():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(16*x**2)-(129*x)-16)/((x**2-(16*x)-1)*((x**2+(16*x))-1))))] }
-
-
-
-def A041487():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(8*x)-1)/((x**2-(16*x)-1)*((x**2+(16*x))-1))))] }
-
-
-
-def A041494():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(16*x**2)-(65*x)-16)/((x**4-(130*x**2))+1)))] }
-
-
-
-def A041495():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**4-(130*x**2))+1)))] }
-
-
-
-def A041496():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(16*x**16))+(49*x**15))-(65*x**14))+(114*x**13))-(293*x**12))+(700*x**11))-(993*x**10))+(1693*x**9)+(6072*x**8)+(1693*x**7)+(993*x**6)+(700*x**5)+(293*x**4)+(114*x**3)+(65*x**2)+(49*x)+16)/((x**18+(12144*x**9))-1)))] }
-
-
-
-def A041497():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-(3*x**15))+(4*x**14))-(7*x**13))+(18*x**12))-(43*x**11))+(61*x**10))-(104*x**9))+(373*x**8)+(104*x**7)+(61*x**6)+(43*x**5)+(18*x**4)+(7*x**3)+(4*x**2)+(3*x)+1)/((x**18+(12144*x**9))-1)))] }
-
-
-
-def A041498():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(16*x**6))+(49*x**5))-(212*x**4)-(685*x**3)-(212*x**2)-(49*x)-16)/((x**8-(1370*x**4))+1)))] }
-
-
-
-def A041499():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(14*x**2)+1))/((x**8-(1370*x**4))+1)))] }
-
-
-
-def A041500():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(16*x**10))+(33*x**9))-(49*x**8))+(768*x**7))-(817*x**6)-(2402*x**5)-(817*x**4)-(768*x**3)-(49*x**2)-(33*x)-16)/((x**12-(4804*x**6))+1)))] }
-
-
-
-def A041501():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(47*x**7))+(50*x**6))-(147*x**5)-(50*x**4)-(47*x**3)-(3*x**2)-(2*x)-1)/((x**12-(4804*x**6))+1)))] }
-
-
-
-def A041504():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5-(16*x**4))+(33*x**3)+(82*x**2)+(33*x)+16)/((x**6+(164*x**3))-1)))] }
-
-
-
-def A041505():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-(2*x**3))+(5*x**2)+(2*x)+1)/((x**6+(164*x**3))-1)))] }
-
-
-
-def A041506():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(16*x**10))+(33*x**9))-(115*x**8))+(723*x**7))-(2284*x**6)-(5291*x**5)-(2284*x**4)-(723*x**3)-(115*x**2)-(33*x)-16)/(((x**4-(22*x**2))+1)*(x**8+(22*x**6)+(483*x**4)+(22*x**2)+1))))] }
-
-
-
-def A041507():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(7*x**8))-(44*x**7))+(139*x**6))-(322*x**5)-(139*x**4)-(44*x**3)-(7*x**2)-(2*x)-1)/(((x**4-(22*x**2))+1)*(x**8+(22*x**6)+(483*x**4)+(22*x**2)+1))))] }
-
-
-
-def A041510():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(17*x)-16))/((x**2-(8*x)-1)*((x**2+(8*x))-1))))] }
-
-
-
-def A041511():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**2-(8*x)-1)*((x**2+(8*x))-1))))] }
-
-
-
-def A041512():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(16*x**10))+(17*x**9))-(33*x**8))+(347*x**7))-(380*x**6)-(727*x**5)-(380*x**4)-(347*x**3)-(33*x**2)-(17*x)-16)/((x**12-(1454*x**6))+1)))] }
-
-
-
-def A041513():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(22*x**3)-1))/((x**12-(1454*x**6))+1)))] }
-
-
-
-def A041514():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(16*x**12))+(17*x**11))-(33*x**10))+(149*x**9))-(629*x**8))+(778*x**7)+(1407*x**6)+(778*x**5)+(629*x**4)+(149*x**3)+(33*x**2)+(17*x)+16)/((x**14+(2814*x**7))-1)))] }
-
-
-
-def A041515():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-x**11)+(2*x**10))-(9*x**9))+(38*x**8))-(47*x**7))+(85*x**6)+(47*x**5)+(38*x**4)+(9*x**3)+(2*x**2)+x+1)/((x**14+(2814*x**7))-1)))] }
-
-
-
-def A041516():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(16*x**10))+(17*x**9))-(33*x**8))+(83*x**7))-(116*x**6)-(199*x**5)-(116*x**4)-(83*x**3)-(33*x**2)-(17*x)-16)/(((x**6-(20*x**3))+1)*(x**6+(20*x**3)+1))))] }
-
-
-
-def A041517():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(6*x**3)-1))/(((x**6-(20*x**3))+1)*(x**6+(20*x**3)+1))))] }
-
-
-
-def A041518():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(16*x**22))+(17*x**21))-(33*x**20))+(50*x**19))-(83*x**18))+(216*x**17))-(515*x**16))+(1246*x**15))-(1761*x**14))+(3007*x**13))-(4768*x**12)-(7775*x**11)-(4768*x**10)-(3007*x**9)-(1761*x**8)-(1246*x**7)-(515*x**6)-(216*x**5)-(83*x**4)-(50*x**3)-(33*x**2)-(17*x)-16)/(((x**8-(25*x**4))+1)*(x**16+(25*x**12)+(624*x**8)+(25*x**4)+1))))] }
-
-
-
-def A041519():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(2*x**20))-(3*x**19))+(5*x**18))-(13*x**17))+(31*x**16))-(75*x**15))+(106*x**14))-(181*x**13))+(287*x**12))-(468*x**11)-(287*x**10)-(181*x**9)-(106*x**8)-(75*x**7)-(31*x**6)-(13*x**5)-(5*x**4)-(3*x**3)-(2*x**2)-x-1)/(((x**8-(25*x**4))+1)*(x**16+(25*x**12)+(624*x**8)+(25*x**4)+1))))] }
-
-
-
-def A041522():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(16*x**10))+(17*x**9))-(50*x**8))+(817*x**7))-(1684*x**6)-(2501*x**5)-(1684*x**4)-(817*x**3)-(50*x**2)-(17*x)-16)/((x**12-(5002*x**6))+1)))] }
-
-
-
-def A041523():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(49*x**7))+(101*x**6))-(150*x**5)-(101*x**4)-(49*x**3)-(3*x**2)-x-1)/((x**12-(5002*x**6))+1)))] }
-
-
-
-def A041524():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(16*x**14))+(17*x**13))-(50*x**12))+(117*x**11))-(167*x**10))+(451*x**9))-(1069*x**8)-(1520*x**7)-(1069*x**6)-(451*x**5)-(167*x**4)-(117*x**3)-(50*x**2)-(17*x)-16)/((x**16-(3040*x**8))+1)))] }
-
-
-
-def A041525():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(3*x**12))-(7*x**11))+(10*x**10))-(27*x**9))+(64*x**8))-(91*x**7)-(64*x**6)-(27*x**5)-(10*x**4)-(7*x**3)-(3*x**2)-x-1)/((x**16-(3040*x**8))+1)))] }
-
-
-
-def A041526():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(16*x**10))+(17*x**9))-(50*x**8))+(67*x**7))-(184*x**6)-(251*x**5)-(184*x**4)-(67*x**3)-(50*x**2)-(17*x)-16)/((x**12-(502*x**6))+1)))] }
-
-
-
-def A041527():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**8+(4*x**6)+(15*x**4)+(4*x**2)+1))/((x**12-(502*x**6))+1)))] }
-
-
-
-def A041530():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(16*x**14))+(17*x**13))-(67*x**12))+(84*x**11))-(403*x**10))+(487*x**9))-(1864*x**8)-(2351*x**7)-(1864*x**6)-(487*x**5)-(403*x**4)-(84*x**3)-(67*x**2)-(17*x)-16)/((x**16-(4702*x**8))+1)))] }
-
-
-
-def A041531():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(5*x**2)+1)*(x**8+(28*x**4)+1))/((x**16-(4702*x**8))+1)))] }
-
-
-
-def A041536():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(16*x**10))+(17*x**9))-(135*x**8))+(287*x**7))-(2144*x**6)-(2431*x**5)-(2144*x**4)-(287*x**3)-(135*x**2)-(17*x)-16)/(((x**4-(17*x**2))+1)*(x**8+(17*x**6)+(288*x**4)+(17*x**2)+1))))] }
-
-
-
-def A041537():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(8*x**8))-(17*x**7))+(127*x**6))-(144*x**5)-(127*x**4)-(17*x**3)-(8*x**2)-x-1)/(((x**4-(17*x**2))+1)*(x**8+(17*x**6)+(288*x**4)+(17*x**2)+1))))] }
-
-
-
-def A041538():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(16*x**18))+(17*x**17))-(186*x**16))+(575*x**15))-(1911*x**14))+(4397*x**13))-(15102*x**12))+(49703*x**11))-(512132*x**10)-(561835*x**9)-(512132*x**8)-(49703*x**7)-(15102*x**6)-(4397*x**5)-(1911*x**4)-(575*x**3)-(186*x**2)-(17*x)-16)/((x**20-(1123670*x**10))+1)))] }
-
-
-
-def A041539():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(11*x**16))-(34*x**15))+(113*x**14))-(260*x**13))+(893*x**12))-(2939*x**11))+(30283*x**10))-(33222*x**9)-(30283*x**8)-(2939*x**7)-(893*x**6)-(260*x**5)-(113*x**4)-(34*x**3)-(11*x**2)-x-1)/((x**20-(1123670*x**10))+1)))] }
-
-
-
-def A041540():
- x = SR.var('x')
- return { 'ogf': [(((((16+(17*x)+(271*x**2)+(288*x**3)+(271*x**4))-(17*x**5))+(16*x**6))-x**7)/((1-(576*x**4))+x**8))] }
-
-
-
-def A041541():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(17*x**2)+1))/((x**8-(576*x**4))+1)))] }
-
-
-
-def A041542():
- x = SR.var('x')
- return { 'ogf': [(((16+(17*x)+(16*x**2))-x**3)/(((1-(6*x))+x**2)*(1+(6*x)+x**2)))] }
-
-
-
-def A041543():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/(((x**2-(6*x))+1)*(x**2+(6*x)+1))))] }
-
-
-
-def A041544():
- x = SR.var('x')
- return { 'ogf': [((17+x)/(1-(34*x)-x**2))] }
-
-
-
-def A041545():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(34*x)-x**2))] }
-
-
-
-def A041546():
- x = SR.var('x')
- return { 'ogf': [(((17+(290*x)+(17*x**2))-x**3)/((1-(580*x**2))+x**4))] }
-
-
-
-def A041547():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(17*x)-1)/((x**4-(580*x**2))+1)))] }
-
-
-
-def A041548():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(17*x**18))+(188*x**17))-(393*x**16))+(581*x**15))-(2136*x**14))+(17669*x**13))-(55143*x**12))+(72812*x**11))-(200767*x**10)-(2281249*x**9)-(200767*x**8)-(72812*x**7)-(55143*x**6)-(17669*x**5)-(2136*x**4)-(581*x**3)-(393*x**2)-(188*x)-17)/((x**10-(2136*x**5)-1)*((x**10+(2136*x**5))-1))))] }
-
-
-
-def A041549():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(11*x**17))+(23*x**16))-(34*x**15))+(125*x**14))-(1034*x**13))+(3227*x**12))-(4261*x**11))+(11749*x**10))-(133500*x**9)-(11749*x**8)-(4261*x**7)-(3227*x**6)-(1034*x**5)-(125*x**4)-(34*x**3)-(23*x**2)-(11*x)-1)/((x**10-(2136*x**5)-1)*((x**10+(2136*x**5))-1))))] }
-
-
-
-def A041550():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(17*x**8))+(137*x**7))-(154*x**6))+(291*x**5)+(2482*x**4)+(291*x**3)+(154*x**2)+(137*x)+17)/((x**10+(4964*x**5))-1)))] }
-
-
-
-def A041551():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(8*x**7))+(9*x**6))-(17*x**5))+(145*x**4)+(17*x**3)+(9*x**2)+(8*x)+1)/((x**10+(4964*x**5))-1)))] }
-
-
-
-def A041552():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(17*x**10))+(103*x**9))-(120*x**8))+(583*x**7))-(703*x**6)-(4801*x**5)-(703*x**4)-(583*x**3)-(120*x**2)-(103*x)-17)/(((x**6-(98*x**3))+1)*(x**6+(98*x**3)+1))))] }
-
-
-
-def A041553():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(6*x**9))+(7*x**8))-(34*x**7))+(41*x**6))-(280*x**5)-(41*x**4)-(34*x**3)-(7*x**2)-(6*x)-1)/(((x**6-(98*x**3))+1)*(x**6+(98*x**3)+1))))] }
-
-
-
-def A041556():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(17*x**10))+(69*x**9))-(86*x**8))+(671*x**7))-(757*x**6)-(3699*x**5)-(757*x**4)-(671*x**3)-(86*x**2)-(69*x)-17)/((x**6-(86*x**3)-1)*((x**6+(86*x**3))-1))))] }
-
-
-
-def A041557():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(4*x**9))+(5*x**8))-(39*x**7))+(44*x**6))-(215*x**5)-(44*x**4)-(39*x**3)-(5*x**2)-(4*x)-1)/((x**6-(86*x**3)-1)*((x**6+(86*x**3))-1))))] }
-
-
-
-def A041558():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(17*x**18))+(69*x**17))-(224*x**16))+(293*x**15))-(517*x**14))+(1327*x**13))-(1844*x**12))+(3171*x**11))-(11357*x**10)-(48599*x**9)-(11357*x**8)-(3171*x**7)-(1844*x**6)-(1327*x**5)-(517*x**4)-(293*x**3)-(224*x**2)-(69*x)-17)/((x**20-(97198*x**10))+1)))] }
-
-
-
-def A041559():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(4*x**17))+(13*x**16))-(17*x**15))+(30*x**14))-(77*x**13))+(107*x**12))-(184*x**11))+(659*x**10))-(2820*x**9)-(659*x**8)-(184*x**7)-(107*x**6)-(77*x**5)-(30*x**4)-(17*x**3)-(13*x**2)-(4*x)-1)/((x**20-(97198*x**10))+1)))] }
-
-
-
-def A041562():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(17*x**6))+(52*x**5))-(121*x**4)-(415*x**3)-(121*x**2)-(52*x)-17)/((x**8-(830*x**4))+1)))] }
-
-
-
-def A041563():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(8*x**2)+1))/((x**8-(830*x**4))+1)))] }
-
-
-
-def A041564():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(17*x**6))+(52*x**5))-(433*x**4)-(1351*x**3)-(433*x**2)-(52*x)-17)/(((x**4-(52*x**2))+1)*(x**4+(52*x**2)+1))))] }
-
-
-
-def A041565():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(26*x**2)+1))/(((x**4-(52*x**2))+1)*(x**4+(52*x**2)+1))))] }
-
-
-
-def A041570():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(17*x**10))+(35*x**9))-(87*x**8))+(470*x**7))-(1027*x**6)-(2524*x**5)-(1027*x**4)-(470*x**3)-(87*x**2)-(35*x)-17)/((x**12-(5048*x**6))+1)))] }
-
-
-
-def A041571():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-(2*x**3))+(5*x**2)+(2*x)+1)*(x**6-(29*x**3)-1))/((x**12-(5048*x**6))+1)))] }
-
-
-
-def A041572():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(17*x**22))+(35*x**21))-(122*x**20))+(279*x**19))-(401*x**18))+(680*x**17))-(1081*x**16))+(1761*x**15))-(2842*x**14))+(7445*x**13))-(25177*x**12)-(57799*x**11)-(25177*x**10)-(7445*x**9)-(2842*x**8)-(1761*x**7)-(1081*x**6)-(680*x**5)-(401*x**4)-(279*x**3)-(122*x**2)-(35*x)-17)/(((x**12-(340*x**6))+1)*(x**12+(340*x**6)+1))))] }
-
-
-
-def A041573():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-(2*x**21))+(7*x**20))-(16*x**19))+(23*x**18))-(39*x**17))+(62*x**16))-(101*x**15))+(163*x**14))-(427*x**13))+(1444*x**12))-(3315*x**11)-(1444*x**10)-(427*x**9)-(163*x**8)-(101*x**7)-(62*x**6)-(39*x**5)-(23*x**4)-(16*x**3)-(7*x**2)-(2*x)-1)/(((x**12-(340*x**6))+1)*(x**12+(340*x**6)+1))))] }
-
-
-
-def A041574():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((x**6-(18*x**5))+(53*x**4))-(280*x**3)-(209*x**2)-(18*x)-17))/((x**8-(978*x**4))+1)))] }
-
-
-
-def A041575():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(14*x**2)+1))/((x**8-(978*x**4))+1)))] }
-
-
-
-def A041576():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2-(18*x)-17))/((x**4-(70*x**2))+1)))] }
-
-
-
-def A041577():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(70*x**2))+1)))] }
-
-
-
-def A041580():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(17*x**10))+(18*x**9))-(35*x**8))+(158*x**7))-(193*x**6)-(351*x**5)-(193*x**4)-(158*x**3)-(35*x**2)-(18*x)-17)/(((x**4-(9*x**2))+1)*(x**8+(9*x**6)+(80*x**4)+(9*x**2)+1))))] }
-
-
-
-def A041581():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(10*x**3)-1))/(((x**4-(9*x**2))+1)*(x**8+(9*x**6)+(80*x**4)+(9*x**2)+1))))] }
-
-
-
-def A041588():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(17*x**6))+(18*x**5))-(35*x**4)-(53*x**3)-(35*x**2)-(18*x)-17)/((x**8-(106*x**4))+1)))] }
-
-
-
-def A041589():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1))/((x**8-(106*x**4))+1)))] }
-
-
-
-def A041592():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(17*x**12))+(18*x**11))-(53*x**10))+(71*x**9))-(124*x**8))+(319*x**7)+(443*x**6)+(319*x**5)+(124*x**4)+(71*x**3)+(53*x**2)+(18*x)+17)/((x**14+(886*x**7))-1)))] }
-
-
-
-def A041593():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-x**11)+(3*x**10))-(4*x**9))+(7*x**8))-(18*x**7))+(25*x**6)+(18*x**5)+(7*x**4)+(4*x**3)+(3*x**2)+x+1)/((x**14+(886*x**7))-1)))] }
-
-
-
-def A041594():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(17*x**6))+(18*x**5))-(53*x**4)-(71*x**3)-(53*x**2)-(18*x)-17)/(((x**4-(12*x**2))+1)*(x**4+(12*x**2)+1))))] }
-
-
-
-def A041595():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/(((x**4-(12*x**2))+1)*(x**4+(12*x**2)+1))))] }
-
-
-
-def A041596():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(17*x**14))+(18*x**13))-(71*x**12))+(160*x**11))-(1351*x**10))+(2862*x**9))-(9937*x**8)-(12799*x**7)-(9937*x**6)-(2862*x**5)-(1351*x**4)-(160*x**3)-(71*x**2)-(18*x)-17)/(((x**8-(160*x**4))+1)*(x**8+(160*x**4)+1))))] }
-
-
-
-def A041597():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(4*x**12))-(9*x**11))+(76*x**10))-(161*x**9))+(559*x**8))-(720*x**7)-(559*x**6)-(161*x**5)-(76*x**4)-(9*x**3)-(4*x**2)-x-1)/(((x**8-(160*x**4))+1)*(x**8+(160*x**4)+1))))] }
-
-
-
-def A041598():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**21-(17*x**20))+(18*x**19))-(89*x**18))+(730*x**17))-(819*x**16))+(2368*x**15))-(5555*x**14))+(7923*x**13))-(68939*x**12))+(283679*x**11)+(352618*x**10)+(283679*x**9)+(68939*x**8)+(7923*x**7)+(5555*x**6)+(2368*x**5)+(819*x**4)+(730*x**3)+(89*x**2)+(18*x)+17)/((x**22+(705236*x**11))-1)))] }
-
-
-
-def A041599():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**20-x**19)+(5*x**18))-(41*x**17))+(46*x**16))-(133*x**15))+(312*x**14))-(445*x**13))+(3872*x**12))-(15933*x**11))+(19805*x**10)+(15933*x**9)+(3872*x**8)+(445*x**7)+(312*x**6)+(133*x**5)+(46*x**4)+(41*x**3)+(5*x**2)+x+1)/((x**22+(705236*x**11))-1)))] }
-
-
-
-def A041600():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(17*x**6))+(18*x**5))-(89*x**4)-(107*x**3)-(89*x**2)-(18*x)-17)/((x**8-(214*x**4))+1)))] }
-
-
-
-def A041601():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(6*x**2)+1))/((x**8-(214*x**4))+1)))] }
-
-
-
-def A041604():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(17*x**6))+(18*x**5))-(143*x**4)-(161*x**3)-(143*x**2)-(18*x)-17)/((x**2-(4*x)-1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1))))] }
-
-
-
-def A041605():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(9*x**2)+1))/((x**2-(4*x)-1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1))))] }
-
-
-
-def A041606():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(17*x**6))+(18*x**5))-(197*x**4)-(215*x**3)-(197*x**2)-(18*x)-17)/((x**8-(430*x**4))+1)))] }
-
-
-
-def A041607():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(12*x**2)+1))/((x**8-(430*x**4))+1)))] }
-
-
-
-def A041608():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(17*x**6))+(18*x**5))-(305*x**4)-(323*x**3)-(305*x**2)-(18*x)-17)/((x**8-(646*x**4))+1)))] }
-
-
-
-def A041609():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(18*x**2)+1))/((x**8-(646*x**4))+1)))] }
-
-
-
-def A041610():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(17*x**2)-(18*x)-17)/((x**4-(36*x**2))+1)))] }
-
-
-
-def A041611():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(36*x**2))+1)))] }
-
-
-
-def A041612():
- x = SR.var('x')
- return { 'ogf': [((18+x)/(1-(36*x)-x**2))] }
-
-
-
-def A041613():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(36*x)-x**2))] }
-
-
-
-def A041614():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(18*x**2)-(325*x)-18)/((x**4-(650*x**2))+1)))] }
-
-
-
-def A041615():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(18*x)-1)/((x**4-(650*x**2))+1)))] }
-
-
-
-def A041616():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(18*x**2)-(217*x)-18)/((x**4-(434*x**2))+1)))] }
-
-
-
-def A041617():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(12*x)-1)/((x**4-(434*x**2))+1)))] }
-
-
-
-def A041618():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(18*x**2)-(163*x)-18)/((x**2-(18*x)-1)*((x**2+(18*x))-1))))] }
-
-
-
-def A041619():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(9*x)-1)/((x**2-(18*x)-1)*((x**2+(18*x))-1))))] }
-
-
-
-def A041621():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((1+(7*x)+(29*x**2)+(65*x**3)+(94*x**4)+(159*x**5)+(730*x**6)+(889*x**7)+(1619*x**8)+(4127*x**9)+(18127*x**10)+(131016*x**11))-(18127*x**12))+(4127*x**13))-(1619*x**14))+(889*x**15))-(730*x**16))+(159*x**17))-(94*x**18))+(65*x**19))-(29*x**20))+(7*x**21))-x**22)/((1-(4752830*x**12))+x**24))] }
-
-
-
-def A041622():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(18*x**2)-(109*x)-18)/((x**4-(218*x**2))+1)))] }
-
-
-
-def A041623():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(6*x)-1)/((x**4-(218*x**2))+1)))] }
-
-
-
-def A041626():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(18*x**14))+(73*x**13))-(91*x**12))+(164*x**11))-(1403*x**10))+(1567*x**9))-(2970*x**8)-(13447*x**7)-(2970*x**6)-(1567*x**5)-(1403*x**4)-(164*x**3)-(91*x**2)-(73*x)-18)/(((x**8-(164*x**4))+1)*(x**8+(164*x**4)+1))))] }
-
-
-
-def A041627():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(4*x**13))+(5*x**12))-(9*x**11))+(77*x**10))-(86*x**9))+(163*x**8))-(738*x**7)-(163*x**6)-(86*x**5)-(77*x**4)-(9*x**3)-(5*x**2)-(4*x)-1)/(((x**8-(164*x**4))+1)*(x**8+(164*x**4)+1))))] }
-
-
-
-def A041628():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(18*x**2)-(73*x)-18)/((x**2-(12*x)-1)*((x**2+(12*x))-1))))] }
-
-
-
-def A041629():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**2-(12*x)-1)*((x**2+(12*x))-1))))] }
-
-
-
-def A041632():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(18*x**6))+(55*x**5))-(183*x**4)-(604*x**3)-(183*x**2)-(55*x)-18)/((x**8-(1208*x**4))+1)))] }
-
-
-
-def A041633():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(11*x**2)+1))/((x**8-(1208*x**4))+1)))] }
-
-
-
-def A041634():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(18*x**2)-(55*x)-18)/((x**4-(110*x**2))+1)))] }
-
-
-
-def A041635():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(3*x)-1)/((x**4-(110*x**2))+1)))] }
-
-
-
-def A041638():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(18*x**8))+(37*x**7))-(55*x**6))+(92*x**5)+(239*x**4)+(92*x**3)+(55*x**2)+(37*x)+18)/((x**10+(478*x**5))-1)))] }
-
-
-
-def A041639():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(2*x**7))+(3*x**6))-(5*x**5))+(13*x**4)+(5*x**3)+(3*x**2)+(2*x)+1)/((x**10+(478*x**5))-1)))] }
-
-
-
-def A041640():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(18*x**18))+(37*x**17))-(92*x**16))+(221*x**15))-(313*x**14))+(5542*x**13))-(5855*x**12))+(17252*x**11))-(40359*x**10)-(97970*x**9)-(40359*x**8)-(17252*x**7)-(5855*x**6)-(5542*x**5)-(313*x**4)-(221*x**3)-(92*x**2)-(37*x)-18)/((x**20-(195940*x**10))+1)))] }
-
-
-
-def A041641():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(5*x**16))-(12*x**15))+(17*x**14))-(301*x**13))+(318*x**12))-(937*x**11))+(2192*x**10))-(5321*x**9)-(2192*x**8)-(937*x**7)-(318*x**6)-(301*x**5)-(17*x**4)-(12*x**3)-(5*x**2)-(2*x)-1)/((x**20-(195940*x**10))+1)))] }
-
-
-
-def A041643():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-(2*x**25))+(7*x**24))-(9*x**23))+(16*x**22))-(25*x**21))+(41*x**20))-(353*x**19))+(394*x**18))-(747*x**17))+(1141*x**16))-(1888*x**15))+(6805*x**14))-(15498*x**13)-(6805*x**12)-(1888*x**11)-(1141*x**10)-(747*x**9)-(394*x**8)-(353*x**7)-(41*x**6)-(25*x**5)-(16*x**4)-(9*x**3)-(7*x**2)-(2*x)-1)/((x**28-(571538*x**14))+1)))] }
-
-
-
-def A041646():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(18*x**2)-(37*x)-18)/((x**4-(74*x**2))+1)))] }
-
-
-
-def A041647():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(74*x**2))+1)))] }
-
-
-
-def A041650():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(18*x**18))+(19*x**17))-(37*x**16))+(167*x**15))-(204*x**14))+(779*x**13))-(983*x**12))+(4711*x**11))-(5694*x**10)-(10405*x**9)-(5694*x**8)-(4711*x**7)-(983*x**6)-(779*x**5)-(204*x**4)-(167*x**3)-(37*x**2)-(19*x)-18)/((x**20-(20810*x**10))+1)))] }
-
-
-
-def A041651():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(9*x**15))+(11*x**14))-(42*x**13))+(53*x**12))-(254*x**11))+(307*x**10))-(561*x**9)-(307*x**8)-(254*x**7)-(53*x**6)-(42*x**5)-(11*x**4)-(9*x**3)-(2*x**2)-x-1)/((x**20-(20810*x**10))+1)))] }
-
-
-
-def A041652():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(18*x**18))+(19*x**17))-(37*x**16))+(93*x**15))-(130*x**14))+(873*x**13))-(1003*x**12))+(2879*x**11))-(3882*x**10)-(6761*x**9)-(3882*x**8)-(2879*x**7)-(1003*x**6)-(873*x**5)-(130*x**4)-(93*x**3)-(37*x**2)-(19*x)-18)/((x**20-(13522*x**10))+1)))] }
-
-
-
-def A041653():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(5*x**15))+(7*x**14))-(47*x**13))+(54*x**12))-(155*x**11))+(209*x**10))-(364*x**9)-(209*x**8)-(155*x**7)-(54*x**6)-(47*x**5)-(7*x**4)-(5*x**3)-(2*x**2)-x-1)/((x**20-(13522*x**10))+1)))] }
-
-
-
-def A041654():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(18*x**8))+(19*x**7))-(37*x**6))+(56*x**5)+(93*x**4)+(56*x**3)+(37*x**2)+(19*x)+18)/((x**10+(186*x**5))-1)))] }
-
-
-
-def A041655():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1))/((x**10+(186*x**5))-1)))] }
-
-
-
-def A041657():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((1+x+(2*x**2)+(3*x**3)+(8*x**4)+(35*x**5)+(43*x**6)+(766*x**7)+(809*x**8)+(4002*x**9)+(8813*x**10)+(12815*x**11)+(21628*x**12)+(34443*x**13))-(21628*x**14))+(12815*x**15))-(8813*x**16))+(4002*x**17))-(809*x**18))+(766*x**19))-(43*x**20))+(35*x**21))-(8*x**22))+(3*x**23))-(2*x**24))+x**25)-x**26)/((1-(1283204*x**14))+x**28))] }
-
-
-
-def A041658():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(18*x**14))+(19*x**13))-(37*x**12))+(56*x**11))-(485*x**10))+(541*x**9))-(1026*x**8)-(1567*x**7)-(1026*x**6)-(541*x**5)-(485*x**4)-(56*x**3)-(37*x**2)-(19*x)-18)/(((x**8-(56*x**4))+1)*(x**8+(56*x**4)+1))))] }
-
-
-
-def A041660():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(18*x**12))+(19*x**11))-(56*x**10))+(411*x**9))-(2933*x**8))+(6277*x**7)+(9210*x**6)+(6277*x**5)+(2933*x**4)+(411*x**3)+(56*x**2)+(19*x)+18)/((x**14+(18420*x**7))-1)))] }
-
-
-
-def A041661():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-x**11)+(3*x**10))-(22*x**9))+(157*x**8))-(336*x**7))+(493*x**6)+(336*x**5)+(157*x**4)+(22*x**3)+(3*x**2)+x+1)/((x**14+(18420*x**7))-1)))] }
-
-
-
-def A041662():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(18*x**10))+(19*x**9))-(56*x**8))+(131*x**7))-(318*x**6)-(449*x**5)-(318*x**4)-(131*x**3)-(56*x**2)-(19*x)-18)/(((x**6-(30*x**3))+1)*(x**6+(30*x**3)+1))))] }
-
-
-
-def A041663():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(7*x**7))+(17*x**6))-(24*x**5)-(17*x**4)-(7*x**3)-(3*x**2)-x-1)/(((x**6-(30*x**3))+1)*(x**6+(30*x**3)+1))))] }
-
-
-
-def A041664():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(18*x**22))+(19*x**21))-(56*x**20))+(75*x**19))-(281*x**18))+(637*x**17))-(1555*x**16))+(3747*x**15))-(12796*x**14))+(16543*x**13))-(45882*x**12)-(62425*x**11)-(45882*x**10)-(16543*x**9)-(12796*x**8)-(3747*x**7)-(1555*x**6)-(637*x**5)-(281*x**4)-(75*x**3)-(56*x**2)-(19*x)-18)/(((x**8-(50*x**4))+1)*(x**16+(50*x**12)+(2499*x**8)+(50*x**4)+1))))] }
-
-
-
-def A041665():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(3*x**20))-(4*x**19))+(15*x**18))-(34*x**17))+(83*x**16))-(200*x**15))+(683*x**14))-(883*x**13))+(2449*x**12))-(3332*x**11)-(2449*x**10)-(883*x**9)-(683*x**8)-(200*x**7)-(83*x**6)-(34*x**5)-(15*x**4)-(4*x**3)-(3*x**2)-x-1)/(((x**8-(50*x**4))+1)*(x**16+(50*x**12)+(2499*x**8)+(50*x**4)+1))))] }
-
-
-
-def A041666():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(18*x**14))+(19*x**13))-(75*x**12))+(394*x**11))-(3621*x**10))+(18499*x**9))-(59118*x**8)-(77617*x**7)-(59118*x**6)-(18499*x**5)-(3621*x**4)-(394*x**3)-(75*x**2)-(19*x)-18)/(((x**8-(394*x**4))+1)*(x**8+(394*x**4)+1))))] }
-
-
-
-def A041667():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(4*x**12))-(21*x**11))+(193*x**10))-(986*x**9))+(3151*x**8))-(4137*x**7)-(3151*x**6)-(986*x**5)-(193*x**4)-(21*x**3)-(4*x**2)-x-1)/(((x**8-(394*x**4))+1)*(x**8+(394*x**4)+1))))] }
-
-
-
-def A041670():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(18*x**18))+(19*x**17))-(94*x**16))+(207*x**15))-(508*x**14))+(9351*x**13))-(19210*x**12))+(47771*x**11))-(210294*x**10)-(258065*x**9)-(210294*x**8)-(47771*x**7)-(19210*x**6)-(9351*x**5)-(508*x**4)-(207*x**3)-(94*x**2)-(19*x)-18)/((x**20-(516130*x**10))+1)))] }
-
-
-
-def A041671():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(5*x**16))-(11*x**15))+(27*x**14))-(497*x**13))+(1021*x**12))-(2539*x**11))+(11177*x**10))-(13716*x**9)-(11177*x**8)-(2539*x**7)-(1021*x**6)-(497*x**5)-(27*x**4)-(11*x**3)-(5*x**2)-x-1)/((x**20-(516130*x**10))+1)))] }
-
-
-
-def A041673():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(6*x**20))-(19*x**19))+(63*x**18))-(82*x**17))+(555*x**16))-(637*x**15))+(2466*x**14))-(8035*x**13))+(42641*x**12))-(50676*x**11)-(42641*x**10)-(8035*x**9)-(2466*x**8)-(637*x**7)-(555*x**6)-(82*x**5)-(63*x**4)-(19*x**3)-(6*x**2)-x-1)/((x**24-(1909618*x**12))+1)))] }
-
-
-
-def A041675():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(7*x**24))-(8*x**23))+(15*x**22))-(38*x**21))+(53*x**20))-(462*x**19))+(515*x**18))-(1492*x**17))+(2007*x**16))-(3499*x**15))+(23001*x**14))-(26500*x**13)-(23001*x**12)-(3499*x**11)-(2007*x**10)-(1492*x**9)-(515*x**8)-(462*x**7)-(53*x**6)-(38*x**5)-(15*x**4)-(8*x**3)-(7*x**2)-x-1)/((x**28-(1000002*x**14))+1)))] }
-
-
-
-def A041676():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(18*x**10))+(19*x**9))-(170*x**8))+(359*x**7))-(3042*x**6)-(3401*x**5)-(3042*x**4)-(359*x**3)-(170*x**2)-(19*x)-18)/((x**12-(6802*x**6))+1)))] }
-
-
-
-def A041677():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(9*x**8))-(19*x**7))+(161*x**6))-(180*x**5)-(161*x**4)-(19*x**3)-(9*x**2)-x-1)/(((x**4-(19*x**2))+1)*(x**8+(19*x**6)+(360*x**4)+(19*x**2)+1))))] }
-
-
-
-def A041680():
- x = SR.var('x')
- return { 'ogf': [(((((18+(19*x)+(341*x**2)+(360*x**3)+(341*x**4))-(19*x**5))+(18*x**6))-x**7)/((1-(720*x**4))+x**8))] }
-
-
-
-def A041681():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(19*x**2)+1))/((x**8-(720*x**4))+1)))] }
-
-
-
-def A041682():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(18*x**2)-(19*x)-18)/((x**2-(6*x)-1)*((x**2+(6*x))-1))))] }
-
-
-
-def A041683():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**2-(6*x)-1)*((x**2+(6*x))-1))))] }
-
-
-
-def A041684():
- x = SR.var('x')
- return { 'ogf': [((19+x)/(1-(38*x)-x**2))] }
-
-
-
-def A041685():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(38*x)-x**2))] }
-
-
-
-def A041686():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(19*x**2)-(362*x)-19)/((x**4-(724*x**2))+1)))] }
-
-
-
-def A041687():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(19*x)-1)/((x**4-(724*x**2))+1)))] }
-
-
-
-def A041690():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(19*x**8))+(172*x**7))-(191*x**6))+(363*x**5)+(3458*x**4)+(363*x**3)+(191*x**2)+(172*x)+19)/((x**10+(6916*x**5))-1)))] }
-
-
-
-def A041691():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(9*x**7))+(10*x**6))-(19*x**5))+(181*x**4)+(19*x**3)+(10*x**2)+(9*x)+1)/((x**10+(6916*x**5))-1)))] }
-
-
-
-def A041693():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-(7*x**21))+(8*x**20))-(15*x**19))+(23*x**18))-(61*x**17))+(755*x**16))-(1571*x**15))+(2326*x**14))-(3897*x**13))+(6223*x**12))-(47458*x**11)-(6223*x**10)-(3897*x**9)-(2326*x**8)-(1571*x**7)-(755*x**6)-(61*x**5)-(23*x**4)-(15*x**3)-(8*x**2)-(7*x)-1)/((x**24-(1815850*x**12))+1)))] }
-
-
-
-def A041696():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(19*x**6))+(96*x**5))-(211*x**4)-(1151*x**3)-(211*x**2)-(96*x)-19)/(((x**4-(48*x**2))+1)*(x**4+(48*x**2)+1))))] }
-
-
-
-def A041697():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(5*x)-1)*(x**4+(12*x**2)+1))/(((x**4-(48*x**2))+1)*(x**4+(48*x**2)+1))))] }
-
-
-
-def A041699():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((1+(4*x)+(5*x**2)+(19*x**3)+(43*x**4)+(320*x**5)+(1323*x**6)+(9581*x**7)+(20485*x**8)+(71036*x**9)+(91521*x**10)+(437120*x**11))-(91521*x**12))+(71036*x**13))-(20485*x**14))+(9581*x**15))-(1323*x**16))+(320*x**17))-(43*x**18))+(19*x**19))-(5*x**20))+(4*x**21))-x**22)/((1-(16793602*x**12))+x**24))] }
-
-
-
-def A041700():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5-(19*x**4))+(77*x**3)+(327*x**2)+(77*x)+19)/((x**6+(654*x**3))-1)))] }
-
-
-
-def A041701():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-(4*x**3))+(17*x**2)+(4*x)+1)/((x**6+(654*x**3))-1)))] }
-
-
-
-def A041702():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(19*x**10))+(58*x**9))-(77*x**8))+(366*x**7))-(443*x**6)-(1695*x**5)-(443*x**4)-(366*x**3)-(77*x**2)-(58*x)-19)/((x**12-(3390*x**6))+1)))] }
-
-
-
-def A041703():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(3*x**9))+(4*x**8))-(19*x**7))+(23*x**6))-(88*x**5)-(23*x**4)-(19*x**3)-(4*x**2)-(3*x)-1)/((x**12-(3390*x**6))+1)))] }
-
-
-
-def A041704():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(19*x**10))+(58*x**9))-(135*x**8))+(1678*x**7))-(3491*x**6)-(12151*x**5)-(3491*x**4)-(1678*x**3)-(135*x**2)-(58*x)-19)/(((x**4-(29*x**2))+1)*(x**8+(29*x**6)+(840*x**4)+(29*x**2)+1))))] }
-
-
-
-def A041705():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(3*x**9))+(7*x**8))-(87*x**7))+(181*x**6))-(630*x**5)-(181*x**4)-(87*x**3)-(7*x**2)-(3*x)-1)/(((x**4-(29*x**2))+1)*(x**8+(29*x**6)+(840*x**4)+(29*x**2)+1))))] }
-
-
-
-def A041706():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(19*x**8))+(58*x**7))-(309*x**6))+(1603*x**5)+(5118*x**4)+(1603*x**3)+(309*x**2)+(58*x)+19)/((x**10+(10236*x**5))-1)))] }
-
-
-
-def A041707():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(3*x**7))+(16*x**6))-(83*x**5))+(265*x**4)+(83*x**3)+(16*x**2)+(3*x)+1)/((x**10+(10236*x**5))-1)))] }
-
-
-
-def A041708():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(19*x**10))+(39*x**9))-(58*x**8))+(1083*x**7))-(1141*x**6)-(3365*x**5)-(1141*x**4)-(1083*x**3)-(58*x**2)-(39*x)-19)/((x**12-(6730*x**6))+1)))] }
-
-
-
-def A041709():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(56*x**7))+(59*x**6))-(174*x**5)-(59*x**4)-(56*x**3)-(3*x**2)-(2*x)-1)/((x**12-(6730*x**6))+1)))] }
-
-
-
-def A041710():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(19*x**18))+(39*x**17))-(58*x**16))+(155*x**15))-(213*x**14))+(1220*x**13))-(1433*x**12))+(4086*x**11))-(5519*x**10)-(15124*x**9)-(5519*x**8)-(4086*x**7)-(1433*x**6)-(1220*x**5)-(213*x**4)-(155*x**3)-(58*x**2)-(39*x)-19)/(((x**4-(8*x**2))+1)*(x**16+(8*x**14)+(63*x**12)+(496*x**10)+(3905*x**8)+(496*x**6)+(63*x**4)+(8*x**2)+1))))] }
-
-
-
-def A041711():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(8*x**15))+(11*x**14))-(63*x**13))+(74*x**12))-(211*x**11))+(285*x**10))-(781*x**9)-(285*x**8)-(211*x**7)-(74*x**6)-(63*x**5)-(11*x**4)-(8*x**3)-(3*x**2)-(2*x)-1)/(((x**4-(8*x**2))+1)*(x**16+(8*x**14)+(63*x**12)+(496*x**10)+(3905*x**8)+(496*x**6)+(63*x**4)+(8*x**2)+1))))] }
-
-
-
-def A041714():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((x**6-(20*x**5))+(59*x**4))-(156*x**3)-(77*x**2)-(20*x)-19))/((x**8-(466*x**4))+1)))] }
-
-
-
-def A041715():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(6*x**2)+1))/((x**8-(466*x**4))+1)))] }
-
-
-
-def A041716():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(19*x**14))+(39*x**13))-(136*x**12))+(175*x**11))-(836*x**10))+(1011*x**9))-(3869*x**8)-(8749*x**7)-(3869*x**6)-(1011*x**5)-(836*x**4)-(175*x**3)-(136*x**2)-(39*x)-19)/((x**16-(17498*x**8))+1)))] }
-
-
-
-def A041717():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(7*x**12))-(9*x**11))+(43*x**10))-(52*x**9))+(199*x**8))-(450*x**7)-(199*x**6)-(52*x**5)-(43*x**4)-(9*x**3)-(7*x**2)-(2*x)-1)/((x**16-(17498*x**8))+1)))] }
-
-
-
-def A041720():
- x = SR.var('x')
- return { 'ogf': [(((19+(39*x)+(19*x**2))-x**3)/((1-(78*x**2))+x**4))] }
-
-
-
-def A041721():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(78*x**2))+1)))] }
-
-
-
-def A041722():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(19*x**10))+(20*x**9))-(39*x**8))+(488*x**7))-(527*x**6)-(1015*x**5)-(527*x**4)-(488*x**3)-(39*x**2)-(20*x)-19)/((x**12-(2030*x**6))+1)))] }
-
-
-
-def A041723():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(26*x**3)-1))/((x**12-(2030*x**6))+1)))] }
-
-
-
-def A041726():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(19*x**14))+(20*x**13))-(39*x**12))+(137*x**11))-(2642*x**10))+(8063*x**9))-(10705*x**8)-(18768*x**7)-(10705*x**6)-(8063*x**5)-(2642*x**4)-(137*x**3)-(39*x**2)-(20*x)-19)/((x**16-(37536*x**8))+1)))] }
-
-
-
-def A041727():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(7*x**11))+(135*x**10))-(412*x**9))+(547*x**8))-(959*x**7)-(547*x**6)-(412*x**5)-(135*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**16-(37536*x**8))+1)))] }
-
-
-
-def A041728():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(19*x**14))+(20*x**13))-(39*x**12))+(98*x**11))-(921*x**10))+(1940*x**9))-(2861*x**8)-(4801*x**7)-(2861*x**6)-(1940*x**5)-(921*x**4)-(98*x**3)-(39*x**2)-(20*x)-19)/(((x**4-(4*x**3))+(8*x**2)+(4*x)+1)*((x**4-(10*x**2))+1)*(x**4+(10*x**2)+1)*(((x**4+(4*x**3)+(8*x**2))-(4*x))+1))))] }
-
-
-
-def A041729():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(5*x**11))+(47*x**10))-(99*x**9))+(146*x**8))-(245*x**7)-(146*x**6)-(99*x**5)-(47*x**4)-(5*x**3)-(2*x**2)-x-1)/(((x**4-(4*x**3))+(8*x**2)+(4*x)+1)*((x**4-(10*x**2))+1)*(x**4+(10*x**2)+1)*(((x**4+(4*x**3)+(8*x**2))-(4*x))+1))))] }
-
-
-
-def A041732():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(19*x**22))+(20*x**21))-(39*x**20))+(59*x**19))-(275*x**18))+(334*x**17))-(6287*x**16))+(6621*x**15))-(32771*x**14))+(39392*x**13))-(72163*x**12)-(111555*x**11)-(72163*x**10)-(39392*x**9)-(32771*x**8)-(6621*x**7)-(6287*x**6)-(334*x**5)-(275*x**4)-(59*x**3)-(39*x**2)-(20*x)-19)/((x**24-(223110*x**12))+1)))] }
-
-
-
-def A041733():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**20+(3*x**18)+(17*x**16)+(337*x**14)+(2005*x**12)+(5678*x**10)+(2005*x**8)+(337*x**6)+(17*x**4)+(3*x**2)+1))/((x**24-(223110*x**12))+1)))] }
-
-
-
-def A041734():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(19*x**10))+(20*x**9))-(59*x**8))+(1141*x**7))-(2341*x**6)-(3482*x**5)-(2341*x**4)-(1141*x**3)-(59*x**2)-(20*x)-19)/((x**12-(6964*x**6))+1)))] }
-
-
-
-def A041735():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(58*x**7))+(119*x**6))-(177*x**5)-(119*x**4)-(58*x**3)-(3*x**2)-x-1)/((x**12-(6964*x**6))+1)))] }
-
-
-
-def A041738():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(19*x**16))+(20*x**15))-(59*x**14))+(79*x**13))-(138*x**12))+(217*x**11))-(355*x**10))+(927*x**9)+(1282*x**8)+(927*x**7)+(355*x**6)+(217*x**5)+(138*x**4)+(79*x**3)+(59*x**2)+(20*x)+19)/((x**18+(2564*x**9))-1)))] }
-
-
-
-def A041739():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-x**15)+(3*x**14))-(4*x**13))+(7*x**12))-(11*x**11))+(18*x**10))-(47*x**9))+(65*x**8)+(47*x**7)+(18*x**6)+(11*x**5)+(7*x**4)+(4*x**3)+(3*x**2)+x+1)/((x**18+(2564*x**9))-1)))] }
-
-
-
-def A041740():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(19*x**6))+(20*x**5))-(59*x**4)-(79*x**3)-(59*x**2)-(20*x)-19)/((x**8-(158*x**4))+1)))] }
-
-
-
-def A041741():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(158*x**4))+1)))] }
-
-
-
-def A041744():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(19*x**6))+(20*x**5))-(79*x**4)-(99*x**3)-(79*x**2)-(20*x)-19)/((x**4-(14*x**2)-1)*((x**4+(14*x**2))-1))))] }
-
-
-
-def A041745():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(5*x**2)+1))/((x**4-(14*x**2)-1)*((x**4+(14*x**2))-1))))] }
-
-
-
-def A041750():
- x = SR.var('x')
- return { 'ogf': [(((((19+(20*x)+(139*x**2)+(159*x**3)+(139*x**4))-(20*x**5))+(19*x**6))-x**7)/((1-(318*x**4))+x**8))] }
-
-
-
-def A041751():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(8*x**2)+1))/((x**8-(318*x**4))+1)))] }
-
-
-
-def A041752():
- x = SR.var('x')
- return { 'ogf': [(((((19+(20*x)+(179*x**2)+(199*x**3)+(179*x**4))-(20*x**5))+(19*x**6))-x**7)/(((1-(20*x**2))+x**4)*(1+(20*x**2)+x**4)))] }
-
-
-
-def A041753():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(10*x**2)+1))/(((x**4-(20*x**2))+1)*(x**4+(20*x**2)+1))))] }
-
-
-
-def A041756():
- x = SR.var('x')
- return { 'ogf': [(((((19+(20*x)+(379*x**2)+(399*x**3)+(379*x**4))-(20*x**5))+(19*x**6))-x**7)/((1-(798*x**4))+x**8))] }
-
-
-
-def A041757():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(20*x**2)+1))/((x**8-(798*x**4))+1)))] }
-
-
-
-def A041758():
- x = SR.var('x')
- return { 'ogf': [(((19+(20*x)+(19*x**2))-x**3)/((1-(40*x**2))+x**4))] }
-
-
-
-def A041759():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(40*x**2))+1)))] }
-
-
-
-def A041760():
- x = SR.var('x')
- return { 'ogf': [((20+x)/(1-(40*x)-x**2))] }
-
-
-
-def A041761():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(40*x)-x**2))] }
-
-
-
-def A041762():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(20*x**2)-(401*x)-20)/((x**4-(802*x**2))+1)))] }
-
-
-
-def A041763():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(20*x)-1)/((x**4-(802*x**2))+1)))] }
-
-
-
-def A041764():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(20*x**18))+(261*x**17))-(542*x**16))+(803*x**15))-(2951*x**14))+(3754*x**13))-(14213*x**12))+(17967*x**11))-(50147*x**10)-(669878*x**9)-(50147*x**8)-(17967*x**7)-(14213*x**6)-(3754*x**5)-(2951*x**4)-(803*x**3)-(542*x**2)-(261*x)-20)/((x**20-(1339756*x**10))+1)))] }
-
-
-
-def A041765():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(13*x**17))+(27*x**16))-(40*x**15))+(147*x**14))-(187*x**13))+(708*x**12))-(895*x**11))+(2498*x**10))-(33369*x**9)-(2498*x**8)-(895*x**7)-(708*x**6)-(187*x**5)-(147*x**4)-(40*x**3)-(27*x**2)-(13*x)-1)/((x**20-(1339756*x**10))+1)))] }
-
-
-
-def A041766():
- x = SR.var('x')
- return { 'ogf': [(((20+(201*x)+(20*x**2))-x**3)/((1-(402*x**2))+x**4))] }
-
-
-
-def A041767():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(10*x)-1)/((x**2-(20*x)-1)*((x**2+(20*x))-1))))] }
-
-
-
-def A041768():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(20*x**2)-(161*x)-20)/(((x**2-(18*x))+1)*(x**2+(18*x)+1))))] }
-
-
-
-def A041769():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(8*x)-1)/(((x**2-(18*x))+1)*(x**2+(18*x)+1))))] }
-
-
-
-def A041772():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(20*x**10))+(101*x**9))-(121*x**8))+(343*x**7))-(464*x**6)-(2663*x**5)-(464*x**4)-(343*x**3)-(121*x**2)-(101*x)-20)/((x**12-(5326*x**6))+1)))] }
-
-
-
-def A041773():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(5*x**9))+(6*x**8))-(17*x**7))+(23*x**6))-(132*x**5)-(23*x**4)-(17*x**3)-(6*x**2)-(5*x)-1)/((x**12-(5326*x**6))+1)))] }
-
-
-
-def A041774():
- x = SR.var('x')
- return { 'ogf': [(-(((x+4)*(x**2-(24*x)-5))/((x**4-(202*x**2))+1)))] }
-
-
-
-def A041775():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(5*x)-1)/((x**4-(202*x**2))+1)))] }
-
-
-
-def A041778():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(20*x**2)-(81*x)-20)/((x**4-(162*x**2))+1)))] }
-
-
-
-def A041779():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**4-(162*x**2))+1)))] }
-
-
-
-def A041780():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(20*x**18))+(61*x**17))-(81*x**16))+(142*x**15))-(223*x**14))+(4379*x**13))-(4602*x**12))+(8981*x**11))-(13583*x**10)-(49730*x**9)-(13583*x**8)-(8981*x**7)-(4602*x**6)-(4379*x**5)-(223*x**4)-(142*x**3)-(81*x**2)-(61*x)-20)/((x**20-(99460*x**10))+1)))] }
-
-
-
-def A041781():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(4*x**16))-(7*x**15))+(11*x**14))-(216*x**13))+(227*x**12))-(443*x**11))+(670*x**10))-(2453*x**9)-(670*x**8)-(443*x**7)-(227*x**6)-(216*x**5)-(11*x**4)-(7*x**3)-(4*x**2)-(3*x)-1)/((x**20-(99460*x**10))+1)))] }
-
-
-
-def A041784():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(20*x**14))+(61*x**13))-(569*x**12))+(630*x**11))-(3089*x**10))+(3719*x**9))-(36560*x**8)-(113399*x**7)-(36560*x**6)-(3719*x**5)-(3089*x**4)-(630*x**3)-(569*x**2)-(61*x)-20)/((x**16-(226798*x**8))+1)))] }
-
-
-
-def A041785():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(28*x**12))-(31*x**11))+(152*x**10))-(183*x**9))+(1799*x**8))-(5580*x**7)-(1799*x**6)-(183*x**5)-(152*x**4)-(31*x**3)-(28*x**2)-(3*x)-1)/((x**16-(226798*x**8))+1)))] }
-
-
-
-def A041786():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(20*x**14))+(41*x**13))-(61*x**12))+(468*x**11))-(997*x**10))+(7447*x**9))-(8444*x**8)-(24335*x**7)-(8444*x**6)-(7447*x**5)-(997*x**4)-(468*x**3)-(61*x**2)-(41*x)-20)/((x**16-(48670*x**8))+1)))] }
-
-
-
-def A041787():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(23*x**11))+(49*x**10))-(366*x**9))+(415*x**8))-(1196*x**7)-(415*x**6)-(366*x**5)-(49*x**4)-(23*x**3)-(3*x**2)-(2*x)-1)/((x**16-(48670*x**8))+1)))] }
-
-
-
-def A041790():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(20*x**14))+(41*x**13))-(61*x**12))+(102*x**11))-(979*x**10))+(1081*x**9))-(2060*x**8)-(5201*x**7)-(2060*x**6)-(1081*x**5)-(979*x**4)-(102*x**3)-(61*x**2)-(41*x)-20)/((x**4-(10*x**2)-1)*((x**4+(10*x**2))-1)*(x**8+(102*x**4)+1))))] }
-
-
-
-def A041791():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(5*x**11))+(48*x**10))-(53*x**9))+(101*x**8))-(255*x**7)-(101*x**6)-(53*x**5)-(48*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/((x**4-(10*x**2)-1)*((x**4+(10*x**2))-1)*(x**8+(102*x**4)+1))))] }
-
-
-
-def A041794():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(20*x**10))+(41*x**9))-(184*x**8))+(3721*x**7))-(15068*x**6)-(33857*x**5)-(15068*x**4)-(3721*x**3)-(184*x**2)-(41*x)-20)/((x**12-(67714*x**6))+1)))] }
-
-
-
-def A041795():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(9*x**8))-(182*x**7))+(737*x**6))-(1656*x**5)-(737*x**4)-(182*x**3)-(9*x**2)-(2*x)-1)/((x**12-(67714*x**6))+1)))] }
-
-
-
-def A041798():
- x = SR.var('x')
- return { 'ogf': [(((20+(41*x)+(20*x**2))-x**3)/((1-(82*x**2))+x**4))] }
-
-
-
-def A041799():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(82*x**2))+1)))] }
-
-
-
-def A041804():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(20*x**14))+(21*x**13))-(41*x**12))+(144*x**11))-(617*x**10))+(1995*x**9))-(2612*x**8)-(4607*x**7)-(2612*x**6)-(1995*x**5)-(617*x**4)-(144*x**3)-(41*x**2)-(21*x)-20)/(((x**8-(96*x**4))+1)*(x**8+(96*x**4)+1))))] }
-
-
-
-def A041805():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(7*x**11))+(30*x**10))-(97*x**9))+(127*x**8))-(224*x**7)-(127*x**6)-(97*x**5)-(30*x**4)-(7*x**3)-(2*x**2)-x-1)/(((x**8-(96*x**4))+1)*(x**8+(96*x**4)+1))))] }
-
-
-
-def A041808():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(20*x**12))+(21*x**11))-(41*x**10))+(62*x**9))-(103*x**8))+(165*x**7)+(268*x**6)+(165*x**5)+(103*x**4)+(62*x**3)+(41*x**2)+(21*x)+20)/((x**14+(536*x**7))-1)))] }
-
-
-
-def A041809():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-x**11)+(2*x**10))-(3*x**9))+(5*x**8))-(8*x**7))+(13*x**6)+(8*x**5)+(5*x**4)+(3*x**3)+(2*x**2)+x+1)/((x**14+(536*x**7))-1)))] }
-
-
-
-def A041810():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(20*x**22))+(21*x**21))-(41*x**20))+(62*x**19))-(227*x**18))+(516*x**17))-(3323*x**16))+(7162*x**15))-(24809*x**14))+(31971*x**13))-(56780*x**12)-(88751*x**11)-(56780*x**10)-(31971*x**9)-(24809*x**8)-(7162*x**7)-(3323*x**6)-(516*x**5)-(227*x**4)-(62*x**3)-(41*x**2)-(21*x)-20)/((x**24-(177502*x**12))+1)))] }
-
-
-
-def A041811():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(2*x**20))-(3*x**19))+(11*x**18))-(25*x**17))+(161*x**16))-(347*x**15))+(1202*x**14))-(1549*x**13))+(2751*x**12))-(4300*x**11)-(2751*x**10)-(1549*x**9)-(1202*x**8)-(347*x**7)-(161*x**6)-(25*x**5)-(11*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**24-(177502*x**12))+1)))] }
-
-
-
-def A041812():
- x = SR.var('x')
- return { 'ogf': [(((((20+(21*x)+(41*x**2)+(62*x**3)+(41*x**4))-(21*x**5))+(20*x**6))-x**7)/((1-(124*x**4))+x**8))] }
-
-
-
-def A041813():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1))/((x**8-(124*x**4))+1)))] }
-
-
-
-def A041815():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(3*x**20))-(13*x**19))+(16*x**18))-(93*x**17))+(946*x**16))-(4823*x**15))+(5769*x**14))-(27899*x**13))+(61567*x**12))-(89466*x**11)-(61567*x**10)-(27899*x**9)-(5769*x**8)-(4823*x**7)-(946*x**6)-(93*x**5)-(16*x**4)-(13*x**3)-(3*x**2)-x-1)/((x**24-(3701774*x**12))+1)))] }
-
-
-
-def A041819():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(3*x**24))-(4*x**23))+(15*x**22))-(19*x**21))+(129*x**20))-(1051*x**19))+(6435*x**18))-(7486*x**17))+(28893*x**16))-(36379*x**15))+(101651*x**14))-(138030*x**13)-(101651*x**12)-(36379*x**11)-(28893*x**10)-(7486*x**9)-(6435*x**8)-(1051*x**7)-(129*x**6)-(19*x**5)-(15*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**28-(5724502*x**14))+1)))] }
-
-
-
-def A041822():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(20*x**14))+(21*x**13))-(83*x**12))+(104*x**11))-(187*x**10))+(291*x**9))-(1060*x**8)-(1351*x**7)-(1060*x**6)-(291*x**5)-(187*x**4)-(104*x**3)-(83*x**2)-(21*x)-20)/(((x**8-(52*x**4))+1)*(x**8+(52*x**4)+1))))] }
-
-
-
-def A041823():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(5*x**2)+1)*(x**8+(13*x**4)+1))/(((x**8-(52*x**4))+1)*(x**8+(52*x**4)+1))))] }
-
-
-
-def A041826():
- x = SR.var('x')
- return { 'ogf': [(((((20+(21*x)+(104*x**2)+(125*x**3)+(104*x**4))-(21*x**5))+(20*x**6))-x**7)/((1-(250*x**4))+x**8))] }
-
-
-
-def A041827():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(6*x**2)+1))/((x**8-(250*x**4))+1)))] }
-
-
-
-def A041828():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(20*x**6))+(21*x**5))-(125*x**4)-(146*x**3)-(125*x**2)-(21*x)-20)/((x**8-(292*x**4))+1)))] }
-
-
-
-def A041829():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(7*x**2)+1))/((x**8-(292*x**4))+1)))] }
-
-
-
-def A041832():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(20*x**10))+(21*x**9))-(209*x**8))+(439*x**7))-(4160*x**6)-(4599*x**5)-(4160*x**4)-(439*x**3)-(209*x**2)-(21*x)-20)/(((x**4-(21*x**2))+1)*(x**8+(21*x**6)+(440*x**4)+(21*x**2)+1))))] }
-
-
-
-def A041833():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(10*x**8))-(21*x**7))+(199*x**6))-(220*x**5)-(199*x**4)-(21*x**3)-(10*x**2)-x-1)/(((x**4-(21*x**2))+1)*(x**8+(21*x**6)+(440*x**4)+(21*x**2)+1))))] }
-
-
-
-def A041834():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(20*x**6))+(21*x**5))-(272*x**4)-(293*x**3)-(272*x**2)-(21*x)-20)/((x**8-(586*x**4))+1)))] }
-
-
-
-def A041835():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(14*x**2)+1))/((x**8-(586*x**4))+1)))] }
-
-
-
-def A041836():
- x = SR.var('x')
- return { 'ogf': [(((((20+(21*x)+(419*x**2)+(440*x**3)+(419*x**4))-(21*x**5))+(20*x**6))-x**7)/((1-(880*x**4))+x**8))] }
-
-
-
-def A041837():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(21*x**2)+1))/((x**8-(880*x**4))+1)))] }
-
-
-
-def A041838():
- x = SR.var('x')
- return { 'ogf': [(((20+(21*x)+(20*x**2))-x**3)/((1-(42*x**2))+x**4))] }
-
-
-
-def A041839():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(42*x**2))+1)))] }
-
-
-
-def A041840():
- x = SR.var('x')
- return { 'ogf': [((21+x)/(1-(42*x)-x**2))] }
-
-
-
-def A041841():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(42*x)-x**2))] }
-
-
-
-def A041842():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(21*x**2)-(442*x)-21)/((x**4-(884*x**2))+1)))] }
-
-
-
-def A041843():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(21*x)-1)/((x**4-(884*x**2))+1)))] }
-
-
-
-def A041844():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(21*x**2)-(295*x)-21)/((x**4-(590*x**2))+1)))] }
-
-
-
-def A041845():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(14*x)-1)/((x**4-(590*x**2))+1)))] }
-
-
-
-def A041846():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(21*x**8))+(211*x**7))-(232*x**6))+(443*x**5)+(4662*x**4)+(443*x**3)+(232*x**2)+(211*x)+21)/((x**10+(9324*x**5))-1)))] }
-
-
-
-def A041847():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(10*x**7))+(11*x**6))-(21*x**5))+(221*x**4)+(21*x**3)+(11*x**2)+(10*x)+1)/((x**10+(9324*x**5))-1)))] }
-
-
-
-def A041850():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(21*x**2)-(148*x)-21)/((x**4-(296*x**2))+1)))] }
-
-
-
-def A041851():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(7*x)-1)/((x**4-(296*x**2))+1)))] }
-
-
-
-def A041852():
- x = SR.var('x')
- return { 'ogf': [(((21+(127*x)+(21*x**2))-x**3)/((1-(254*x**2))+x**4))] }
-
-
-
-def A041853():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(6*x)-1)/(((x**2-(16*x))+1)*(x**2+(16*x)+1))))] }
-
-
-
-def A041856():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(21*x**14))+(85*x**13))-(106*x**12))+(297*x**11))-(1294*x**10))+(2885*x**9))-(4179*x**8)-(19601*x**7)-(4179*x**6)-(2885*x**5)-(1294*x**4)-(297*x**3)-(106*x**2)-(85*x)-21)/((x**4-(14*x**2)-1)*((x**4+(14*x**2))-1)*(x**8+(198*x**4)+1))))] }
-
-
-
-def A041857():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(4*x**13))+(5*x**12))-(14*x**11))+(61*x**10))-(136*x**9))+(197*x**8))-(924*x**7)-(197*x**6)-(136*x**5)-(61*x**4)-(14*x**3)-(5*x**2)-(4*x)-1)/((x**4-(14*x**2)-1)*((x**4+(14*x**2))-1)*(x**8+(198*x**4)+1))))] }
-
-
-
-def A041859():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(4*x**17))+(17*x**16))-(38*x**15))+(321*x**14))-(6779*x**13))+(54553*x**12))-(115885*x**11))+(518093*x**10))-(2188257*x**9)-(518093*x**8)-(115885*x**7)-(54553*x**6)-(6779*x**5)-(321*x**4)-(38*x**3)-(17*x**2)-(4*x)-1)/((x**20-(92942980*x**10))+1)))] }
-
-
-
-def A041860():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(21*x**18))+(64*x**17))-(85*x**16))+(489*x**15))-(1552*x**14))+(16009*x**13))-(49579*x**12))+(263904*x**11))-(313483*x**10)-(1204353*x**9)-(313483*x**8)-(263904*x**7)-(49579*x**6)-(16009*x**5)-(1552*x**4)-(489*x**3)-(85*x**2)-(64*x)-21)/((x**10-(1552*x**5)-1)*((x**10+(1552*x**5))-1))))] }
-
-
-
-def A041861():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(4*x**16))-(23*x**15))+(73*x**14))-(753*x**13))+(2332*x**12))-(12413*x**11))+(14745*x**10))-(56648*x**9)-(14745*x**8)-(12413*x**7)-(2332*x**6)-(753*x**5)-(73*x**4)-(23*x**3)-(4*x**2)-(3*x)-1)/((x**10-(1552*x**5)-1)*((x**10+(1552*x**5))-1))))] }
-
-
-
-def A041862():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(21*x**18))+(64*x**17))-(85*x**16))+(149*x**15))-(1575*x**14))+(22199*x**13))-(223565*x**12))+(245764*x**11))-(469329*x**10)-(1653751*x**9)-(469329*x**8)-(245764*x**7)-(223565*x**6)-(22199*x**5)-(1575*x**4)-(149*x**3)-(85*x**2)-(64*x)-21)/((x**20-(3307502*x**10))+1)))] }
-
-
-
-def A041863():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(4*x**16))-(7*x**15))+(74*x**14))-(1043*x**13))+(10504*x**12))-(11547*x**11))+(22051*x**10))-(77700*x**9)-(22051*x**8)-(11547*x**7)-(10504*x**6)-(1043*x**5)-(74*x**4)-(7*x**3)-(4*x**2)-(3*x)-1)/((x**20-(3307502*x**10))+1)))] }
-
-
-
-def A041866():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(21*x**2)-(64*x)-21)/((x**4-(128*x**2))+1)))] }
-
-
-
-def A041867():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(3*x)-1)/((x**4-(128*x**2))+1)))] }
-
-
-
-def A041868():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(21*x**10))+(43*x**9))-(64*x**8))+(299*x**7))-(363*x**6)-(1025*x**5)-(363*x**4)-(299*x**3)-(64*x**2)-(43*x)-21)/((x**12-(2050*x**6))+1)))] }
-
-
-
-def A041869():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(14*x**7))+(17*x**6))-(48*x**5)-(17*x**4)-(14*x**3)-(3*x**2)-(2*x)-1)/((x**12-(2050*x**6))+1)))] }
-
-
-
-def A041872():
- x = SR.var('x')
- return { 'ogf': [((((21+(43*x)+(107*x**2)+(43*x**3))-(21*x**4))+x**5)/(1-(214*x**3)-x**6))] }
-
-
-
-def A041873():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-(2*x**3))+(5*x**2)+(2*x)+1)/((x**6+(214*x**3))-1)))] }
-
-
-
-def A041874():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(21*x**18))+(43*x**17))-(107*x**16))+(150*x**15))-(707*x**14))+(14997*x**13))-(60695*x**12))+(75692*x**11))-(212079*x**10)-(499850*x**9)-(212079*x**8)-(75692*x**7)-(60695*x**6)-(14997*x**5)-(707*x**4)-(150*x**3)-(107*x**2)-(43*x)-21)/((x**20-(999700*x**10))+1)))] }
-
-
-
-def A041875():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(5*x**16))-(7*x**15))+(33*x**14))-(700*x**13))+(2833*x**12))-(3533*x**11))+(9899*x**10))-(23331*x**9)-(9899*x**8)-(3533*x**7)-(2833*x**6)-(700*x**5)-(33*x**4)-(7*x**3)-(5*x**2)-(2*x)-1)/((x**20-(999700*x**10))+1)))] }
-
-
-
-def A041877():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((1+(2*x)+(9*x**2)+(29*x**3)+(38*x**4)+(105*x**5)+(1088*x**6)+(2281*x**7)+(3369*x**8)+(12388*x**9)+(52921*x**10)+(118230*x**11))-(52921*x**12))+(12388*x**13))-(3369*x**14))+(2281*x**15))-(1088*x**16))+(105*x**17))-(38*x**18))+(29*x**19))-(9*x**20))+(2*x**21))-x**22)/((1-(5071502*x**12))+x**24))] }
-
-
-
-def A041880():
- x = SR.var('x')
- return { 'ogf': [(((21+(43*x)+(21*x**2))-x**3)/((1-(86*x**2))+x**4))] }
-
-
-
-def A041881():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(86*x**2))+1)))] }
-
-
-
-def A041884():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(21*x**18))+(22*x**17))-(43*x**16))+(237*x**15))-(280*x**14))+(517*x**13))-(797*x**12))+(4502*x**11))-(5299*x**10)-(9801*x**9)-(5299*x**8)-(4502*x**7)-(797*x**6)-(517*x**5)-(280*x**4)-(237*x**3)-(43*x**2)-(22*x)-21)/((x**10-(140*x**5)-1)*((x**10+(140*x**5))-1))))] }
-
-
-
-def A041885():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(11*x**15))+(13*x**14))-(24*x**13))+(37*x**12))-(209*x**11))+(246*x**10))-(455*x**9)-(246*x**8)-(209*x**7)-(37*x**6)-(24*x**5)-(13*x**4)-(11*x**3)-(2*x**2)-x-1)/((x**10-(140*x**5)-1)*((x**10+(140*x**5))-1))))] }
-
-
-
-def A041886():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(21*x**18))+(22*x**17))-(43*x**16))+(151*x**15))-(345*x**14))+(841*x**13))-(2027*x**12))+(6922*x**11))-(8949*x**10)-(15871*x**9)-(8949*x**8)-(6922*x**7)-(2027*x**6)-(841*x**5)-(345*x**4)-(151*x**3)-(43*x**2)-(22*x)-21)/((x**20-(31742*x**10))+1)))] }
-
-
-
-def A041887():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(7*x**15))+(16*x**14))-(39*x**13))+(94*x**12))-(321*x**11))+(415*x**10))-(736*x**9)-(415*x**8)-(321*x**7)-(94*x**6)-(39*x**5)-(16*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**20-(31742*x**10))+1)))] }
-
-
-
-def A041891():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(2*x**24))-(3*x**23))+(5*x**22))-(18*x**21))+(59*x**20))-(1257*x**19))+(3830*x**18))-(12747*x**17))+(16577*x**16))-(29324*x**15))+(45901*x**14))-(75225*x**13)-(45901*x**12)-(29324*x**11)-(16577*x**10)-(12747*x**9)-(3830*x**8)-(1257*x**7)-(59*x**6)-(18*x**5)-(5*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**28-(3251252*x**14))+1)))] }
-
-
-
-def A041892():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(21*x**14))+(22*x**13))-(43*x**12))+(65*x**11))-(173*x**10))+(238*x**9))-(411*x**8)-(649*x**7)-(411*x**6)-(238*x**5)-(173*x**4)-(65*x**3)-(43*x**2)-(22*x)-21)/((x**8-(36*x**4)-1)*((x**8+(36*x**4))-1))))] }
-
-
-
-def A041893():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1)*(x**8+(10*x**4)+1))/((x**8-(36*x**4)-1)*((x**8+(36*x**4))-1))))] }
-
-
-
-def A041894():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(21*x**18))+(22*x**17))-(43*x**16))+(65*x**15))-(693*x**14))+(4223*x**13))-(42923*x**12))+(47146*x**11))-(90069*x**10)-(137215*x**9)-(90069*x**8)-(47146*x**7)-(42923*x**6)-(4223*x**5)-(693*x**4)-(65*x**3)-(43*x**2)-(22*x)-21)/((x**20-(274430*x**10))+1)))] }
-
-
-
-def A041895():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(3*x**15))+(32*x**14))-(195*x**13))+(1982*x**12))-(2177*x**11))+(4159*x**10))-(6336*x**9)-(4159*x**8)-(2177*x**7)-(1982*x**6)-(195*x**5)-(32*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**20-(274430*x**10))+1)))] }
-
-
-
-def A041896():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(21*x**10))+(22*x**9))-(65*x**8))+(542*x**7))-(1149*x**6)-(1691*x**5)-(1149*x**4)-(542*x**3)-(65*x**2)-(22*x)-21)/((x**12-(3382*x**6))+1)))] }
-
-
-
-def A041897():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(25*x**7))+(53*x**6))-(78*x**5)-(53*x**4)-(25*x**3)-(3*x**2)-x-1)/((x**12-(3382*x**6))+1)))] }
-
-
-
-def A041899():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(3*x**24))-(7*x**23))+(10*x**22))-(37*x**21))+(158*x**20))-(2249*x**19))+(9154*x**18))-(29711*x**17))+(38865*x**16))-(107441*x**15))+(253747*x**14))-(361188*x**13)-(253747*x**12)-(107441*x**11)-(38865*x**10)-(29711*x**9)-(9154*x**8)-(2249*x**7)-(158*x**6)-(37*x**5)-(10*x**4)-(7*x**3)-(3*x**2)-x-1)/((x**28-(15677390*x**14))+1)))] }
-
-
-
-def A041901():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(3*x**24))-(4*x**23))+(7*x**22))-(11*x**21))+(51*x**20))-(266*x**19))+(1115*x**18))-(1381*x**17))+(2496*x**16))-(3877*x**15))+(10250*x**14))-(14127*x**13)-(10250*x**12)-(3877*x**11)-(2496*x**10)-(1381*x**9)-(1115*x**8)-(266*x**7)-(51*x**6)-(11*x**5)-(7*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**28-(613834*x**14))+1)))] }
-
-
-
-def A041902():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(21*x**6))+(22*x**5))-(65*x**4)-(87*x**3)-(65*x**2)-(22*x)-21)/((x**8-(174*x**4))+1)))] }
-
-
-
-def A041903():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(174*x**4))+1)))] }
-
-
-
-def A041905():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(4*x**24))-(9*x**23))+(13*x**22))-(22*x**21))+(35*x**20))-(232*x**19))+(267*x**18))-(499*x**17))+(766*x**16))-(2031*x**15))+(6859*x**14))-(8890*x**13)-(6859*x**12)-(2031*x**11)-(766*x**10)-(499*x**9)-(267*x**8)-(232*x**7)-(35*x**6)-(22*x**5)-(13*x**4)-(9*x**3)-(4*x**2)-x-1)/((x**28-(387098*x**14))+1)))] }
-
-
-
-def A041906():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(21*x**18))+(22*x**17))-(87*x**16))+(109*x**15))-(741*x**14))+(1591*x**13))-(10287*x**12))+(11878*x**11))-(45921*x**10)-(57799*x**9)-(45921*x**8)-(11878*x**7)-(10287*x**6)-(1591*x**5)-(741*x**4)-(109*x**3)-(87*x**2)-(22*x)-21)/(((x**10-(340*x**5))+1)*(x**10+(340*x**5)+1))))] }
-
-
-
-def A041907():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(4*x**16))-(5*x**15))+(34*x**14))-(73*x**13))+(472*x**12))-(545*x**11))+(2107*x**10))-(2652*x**9)-(2107*x**8)-(545*x**7)-(472*x**6)-(73*x**5)-(34*x**4)-(5*x**3)-(4*x**2)-x-1)/(((x**10-(340*x**5))+1)*(x**10+(340*x**5)+1))))] }
-
-
-
-def A041908():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(21*x**14))+(22*x**13))-(109*x**12))+(240*x**11))-(2509*x**10))+(5258*x**9))-(23541*x**8)-(28799*x**7)-(23541*x**6)-(5258*x**5)-(2509*x**4)-(240*x**3)-(109*x**2)-(22*x)-21)/(((x**8-(240*x**4))+1)*(x**8+(240*x**4)+1))))] }
-
-
-
-def A041909():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(5*x**12))-(11*x**11))+(115*x**10))-(241*x**9))+(1079*x**8))-(1320*x**7)-(1079*x**6)-(241*x**5)-(115*x**4)-(11*x**3)-(5*x**2)-x-1)/(((x**8-(240*x**4))+1)*(x**8+(240*x**4)+1))))] }
-
-
-
-def A041915():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(8*x**20))-(9*x**19))+(35*x**18))-(79*x**17))+(1694*x**16))-(3467*x**15))+(12095*x**14))-(15562*x**13))+(121029*x**12))-(136591*x**11)-(121029*x**10)-(15562*x**9)-(12095*x**8)-(3467*x**7)-(1694*x**6)-(79*x**5)-(35*x**4)-(9*x**3)-(8*x**2)-x-1)/((x**24-(5978880*x**12))+1)))] }
-
-
-
-def A041916():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(21*x**6))+(22*x**5))-(219*x**4)-(241*x**3)-(219*x**2)-(22*x)-21)/(((x**4-(22*x**2))+1)*(x**4+(22*x**2)+1))))] }
-
-
-
-def A041917():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(11*x**2)+1))/(((x**4-(22*x**2))+1)*(x**4+(22*x**2)+1))))] }
-
-
-
-def A041920():
- x = SR.var('x')
- return { 'ogf': [(((((21+(22*x)+(461*x**2)+(483*x**3)+(461*x**4))-(22*x**5))+(21*x**6))-x**7)/((1-(966*x**4))+x**8))] }
-
-
-
-def A041921():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(22*x**2)+1))/((x**8-(966*x**4))+1)))] }
-
-
-
-def A041922():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(21*x**2)-(22*x)-21)/((x**4-(44*x**2))+1)))] }
-
-
-
-def A041923():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(44*x**2))+1)))] }
-
-
-
-def A041924():
- x = SR.var('x')
- return { 'ogf': [((22+x)/(1-(44*x)-x**2))] }
-
-
-
-def A041925():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(44*x)-x**2))] }
-
-
-
-def A041926():
- x = SR.var('x')
- return { 'ogf': [(((22+(485*x)+(22*x**2))-x**3)/((1-(970*x**2))+x**4))] }
-
-
-
-def A041927():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(22*x)-1)/((x**4-(970*x**2))+1)))] }
-
-
-
-def A041930():
- x = SR.var('x')
- return { 'ogf': [(((22+(243*x)+(22*x**2))-x**3)/((1-(486*x**2))+x**4))] }
-
-
-
-def A041931():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(11*x)-1)/((x**2-(22*x)-1)*((x**2+(22*x))-1))))] }
-
-
-
-def A041934():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(22*x**18))+(155*x**17))-(332*x**16))+(487*x**15))-(2280*x**14))+(9607*x**13))-(40708*x**12))+(50315*x**11))-(141338*x**10)-(1039681*x**9)-(141338*x**8)-(50315*x**7)-(40708*x**6)-(9607*x**5)-(2280*x**4)-(487*x**3)-(332*x**2)-(155*x)-22)/(((x**10-(1442*x**5))+1)*(x**10+(1442*x**5)+1))))] }
-
-
-
-def A041935():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(7*x**17))+(15*x**16))-(22*x**15))+(103*x**14))-(434*x**13))+(1839*x**12))-(2273*x**11))+(6385*x**10))-(46968*x**9)-(6385*x**8)-(2273*x**7)-(1839*x**6)-(434*x**5)-(103*x**4)-(22*x**3)-(15*x**2)-(7*x)-1)/(((x**10-(1442*x**5))+1)*(x**10+(1442*x**5)+1))))] }
-
-
-
-def A041938():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(22*x**14))+(111*x**13))-(133*x**12))+(244*x**11))-(2573*x**10))+(2817*x**9))-(5390*x**8)-(29767*x**7)-(5390*x**6)-(2817*x**5)-(2573*x**4)-(244*x**3)-(133*x**2)-(111*x)-22)/(((x**8-(244*x**4))+1)*(x**8+(244*x**4)+1))))] }
-
-
-
-def A041939():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(5*x**13))+(6*x**12))-(11*x**11))+(116*x**10))-(127*x**9))+(243*x**8))-(1342*x**7)-(243*x**6)-(127*x**5)-(116*x**4)-(11*x**3)-(6*x**2)-(5*x)-1)/(((x**8-(244*x**4))+1)*(x**8+(244*x**4)+1))))] }
-
-
-
-def A041940():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(22*x**16))+(89*x**15))-(111*x**14))+(1199*x**13))-(3708*x**12))+(12323*x**11))-(126938*x**10))+(139261*x**9)+(683982*x**8)+(139261*x**7)+(126938*x**6)+(12323*x**5)+(3708*x**4)+(1199*x**3)+(111*x**2)+(89*x)+22)/(((x**6+(111*x**3))-1)*((x**12-(111*x**9))+(12322*x**6)+(111*x**3)+1))))] }
-
-
-
-def A041941():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-(4*x**15))+(5*x**14))-(54*x**13))+(167*x**12))-(555*x**11))+(5717*x**10))-(6272*x**9))+(30805*x**8)+(6272*x**7)+(5717*x**6)+(555*x**5)+(167*x**4)+(54*x**3)+(5*x**2)+(4*x)+1)/(((x**6+(111*x**3))-1)*((x**12-(111*x**9))+(12322*x**6)+(111*x**3)+1))))] }
-
-
-
-def A041942():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(22*x**18))+(89*x**17))-(200*x**16))+(489*x**15))-(689*x**14))+(1867*x**13))-(2556*x**12))+(6979*x**11))-(16514*x**10)-(73035*x**9)-(16514*x**8)-(6979*x**7)-(2556*x**6)-(1867*x**5)-(689*x**4)-(489*x**3)-(200*x**2)-(89*x)-22)/((x**20-(146070*x**10))+1)))] }
-
-
-
-def A041943():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(4*x**17))+(9*x**16))-(22*x**15))+(31*x**14))-(84*x**13))+(115*x**12))-(314*x**11))+(743*x**10))-(3286*x**9)-(743*x**8)-(314*x**7)-(115*x**6)-(84*x**5)-(31*x**4)-(22*x**3)-(9*x**2)-(4*x)-1)/((x**20-(146070*x**10))+1)))] }
-
-
-
-def A041944():
- x = SR.var('x')
- return { 'ogf': [(((22+(89*x)+(22*x**2))-x**3)/((1-(178*x**2))+x**4))] }
-
-
-
-def A041945():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**4-(178*x**2))+1)))] }
-
-
-
-def A041948():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(22*x**18))+(67*x**17))-(156*x**16))+(379*x**15))-(2051*x**14))+(12685*x**13))-(65476*x**12))+(143637*x**11))-(352750*x**10)-(1201887*x**9)-(352750*x**8)-(143637*x**7)-(65476*x**6)-(12685*x**5)-(2051*x**4)-(379*x**3)-(156*x**2)-(67*x)-22)/((x**20-(2403774*x**10))+1)))] }
-
-
-
-def A041949():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(7*x**16))-(17*x**15))+(92*x**14))-(569*x**13))+(2937*x**12))-(6443*x**11))+(15823*x**10))-(53912*x**9)-(15823*x**8)-(6443*x**7)-(2937*x**6)-(569*x**5)-(92*x**4)-(17*x**3)-(7*x**2)-(3*x)-1)/((x**20-(2403774*x**10))+1)))] }
-
-
-
-def A041950():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(22*x**10))+(67*x**9))-(424*x**8))+(9395*x**7))-(56794*x**6)-(179777*x**5)-(56794*x**4)-(9395*x**3)-(424*x**2)-(67*x)-22)/((x**12-(359554*x**6))+1)))] }
-
-
-
-def A041951():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(3*x**9))+(19*x**8))-(421*x**7))+(2545*x**6))-(8056*x**5)-(2545*x**4)-(421*x**3)-(19*x**2)-(3*x)-1)/((x**12-(359554*x**6))+1)))] }
-
-
-
-def A041952():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(22*x**10))+(45*x**9))-(67*x**8))+(1452*x**7))-(1519*x**6)-(4490*x**5)-(1519*x**4)-(1452*x**3)-(67*x**2)-(45*x)-22)/((x**12-(8980*x**6))+1)))] }
-
-
-
-def A041953():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(65*x**7))+(68*x**6))-(201*x**5)-(68*x**4)-(65*x**3)-(3*x**2)-(2*x)-1)/((x**12-(8980*x**6))+1)))] }
-
-
-
-def A041955():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-(2*x**25))+(3*x**24))-(11*x**23))+(25*x**22))-(36*x**21))+(61*x**20))-(646*x**19))+(707*x**18))-(1353*x**17))+(3413*x**16))-(11592*x**15))+(15005*x**14))-(41602*x**13)-(15005*x**12)-(11592*x**11)-(3413*x**10)-(1353*x**9)-(707*x**8)-(646*x**7)-(61*x**6)-(36*x**5)-(25*x**4)-(11*x**3)-(3*x**2)-(2*x)-1)/((x**28-(1860498*x**14))+1)))] }
-
-
-
-def A041960():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(22*x**14))+(45*x**13))-(112*x**12))+(157*x**11))-(3409*x**10))+(3566*x**9))-(10541*x**8)-(24648*x**7)-(10541*x**6)-(3566*x**5)-(3409*x**4)-(157*x**3)-(112*x**2)-(45*x)-22)/((x**16-(49296*x**8))+1)))] }
-
-
-
-def A041961():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(5*x**12))-(7*x**11))+(152*x**10))-(159*x**9))+(470*x**8))-(1099*x**7)-(470*x**6)-(159*x**5)-(152*x**4)-(7*x**3)-(5*x**2)-(2*x)-1)/((x**16-(49296*x**8))+1)))] }
-
-
-
-def A041962():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(22*x**6))+(45*x**5))-(202*x**4)-(449*x**3)-(202*x**2)-(45*x)-22)/((x**8-(898*x**4))+1)))] }
-
-
-
-def A041963():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(10*x**2)+1))/(((x**4-(30*x**2))+1)*(x**4+(30*x**2)+1))))] }
-
-
-
-def A041964():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((((22+(23*x)+(359*x**2)+(450*x**3))-(68*x**4))+(23*x**5))-x**6))/((1-(1618*x**4))+x**8))] }
-
-
-
-def A041965():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(18*x**2)+1))/((x**8-(1618*x**4))+1)))] }
-
-
-
-def A041966():
- x = SR.var('x')
- return { 'ogf': [(((22+(45*x)+(22*x**2))-x**3)/((1-(90*x**2))+x**4))] }
-
-
-
-def A041967():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(90*x**2))+1)))] }
-
-
-
-def A041968():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(22*x**10))+(23*x**9))-(45*x**8))+(653*x**7))-(698*x**6)-(1351*x**5)-(698*x**4)-(653*x**3)-(45*x**2)-(23*x)-22)/(((x**2-(4*x))+1)*(x**2+(4*x)+1)*((((x**4-(4*x**3))+(15*x**2))-(4*x))+1)*(x**4+(4*x**3)+(15*x**2)+(4*x)+1))))] }
-
-
-
-def A041969():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(30*x**3)-1))/(((x**2-(4*x))+1)*(x**2+(4*x)+1)*((((x**4-(4*x**3))+(15*x**2))-(4*x))+1)*(x**4+(4*x**3)+(15*x**2)+(4*x)+1))))] }
-
-
-
-def A041974():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(22*x**10))+(23*x**9))-(45*x**8))+(113*x**7))-(158*x**6)-(271*x**5)-(158*x**4)-(113*x**3)-(45*x**2)-(23*x)-22)/((x**12-(542*x**6))+1)))] }
-
-
-
-def A041975():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(6*x**3)-1))/((x**12-(542*x**6))+1)))] }
-
-
-
-def A041978():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(22*x**22))+(23*x**21))-(45*x**20))+(68*x**19))-(181*x**18))+(1154*x**17))-(12875*x**16))+(78404*x**15))-(169683*x**14))+(248087*x**13))-(417770*x**12)-(665857*x**11)-(417770*x**10)-(248087*x**9)-(169683*x**8)-(78404*x**7)-(12875*x**6)-(1154*x**5)-(181*x**4)-(68*x**3)-(45*x**2)-(23*x)-22)/(((x**6-(34*x**3))+1)*(x**6+(34*x**3)+1)*(x**12+(1154*x**6)+1))))] }
-
-
-
-def A041979():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(2*x**20))-(3*x**19))+(8*x**18))-(51*x**17))+(569*x**16))-(3465*x**15))+(7499*x**14))-(10964*x**13))+(18463*x**12))-(29427*x**11)-(18463*x**10)-(10964*x**9)-(7499*x**8)-(3465*x**7)-(569*x**6)-(51*x**5)-(8*x**4)-(3*x**3)-(2*x**2)-x-1)/(((x**6-(34*x**3))+1)*(x**6+(34*x**3)+1)*(x**12+(1154*x**6)+1))))] }
-
-
-
-def A041982():
- x = SR.var('x')
- return { 'ogf': [(((((((22+(23*x)+(68*x**2)+(1519*x**3)+(3106*x**4)+(4625*x**5)+(3106*x**6))-(1519*x**7))+(68*x**8))-(23*x**9))+(22*x**10))-x**11)/((1-(9250*x**6))+x**12))] }
-
-
-
-def A041983():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(67*x**7))+(137*x**6))-(204*x**5)-(137*x**4)-(67*x**3)-(3*x**2)-x-1)/((x**12-(9250*x**6))+1)))] }
-
-
-
-def A041984():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(22*x**18))+(23*x**17))-(68*x**16))+(227*x**15))-(295*x**14))+(1112*x**13))-(1407*x**12))+(5333*x**11))-(12073*x**10)-(17406*x**9)-(12073*x**8)-(5333*x**7)-(1407*x**6)-(1112*x**5)-(295*x**4)-(227*x**3)-(68*x**2)-(23*x)-22)/((x**20-(34812*x**10))+1)))] }
-
-
-
-def A041985():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(3*x**16))-(10*x**15))+(13*x**14))-(49*x**13))+(62*x**12))-(235*x**11))+(532*x**10))-(767*x**9)-(532*x**8)-(235*x**7)-(62*x**6)-(49*x**5)-(13*x**4)-(10*x**3)-(3*x**2)-x-1)/((x**20-(34812*x**10))+1)))] }
-
-
-
-def A041986():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(22*x**18))+(23*x**17))-(68*x**16))+(91*x**15))-(159*x**14))+(2317*x**13))-(2476*x**12))+(4793*x**11))-(12062*x**10)-(16855*x**9)-(12062*x**8)-(4793*x**7)-(2476*x**6)-(2317*x**5)-(159*x**4)-(91*x**3)-(68*x**2)-(23*x)-22)/((x**20-(33710*x**10))+1)))] }
-
-
-
-def A041987():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(3*x**16))-(4*x**15))+(7*x**14))-(102*x**13))+(109*x**12))-(211*x**11))+(531*x**10))-(742*x**9)-(531*x**8)-(211*x**7)-(109*x**6)-(102*x**5)-(7*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**20-(33710*x**10))+1)))] }
-
-
-
-def A041990():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(22*x**10))+(23*x**9))-(91*x**8))+(569*x**7))-(1798*x**6)-(2367*x**5)-(1798*x**4)-(569*x**3)-(91*x**2)-(23*x)-22)/((x**12-(4734*x**6))+1)))] }
-
-
-
-def A041991():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(4*x**8))-(25*x**7))+(79*x**6))-(104*x**5)-(79*x**4)-(25*x**3)-(4*x**2)-x-1)/((x**12-(4734*x**6))+1)))] }
-
-
-
-def A041994():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(22*x**10))+(23*x**9))-(114*x**8))+(1277*x**7))-(5222*x**6)-(6499*x**5)-(5222*x**4)-(1277*x**3)-(114*x**2)-(23*x)-22)/((x**6-(114*x**3)-1)*((x**6+(114*x**3))-1))))] }
-
-
-
-def A041995():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(5*x**8))-(56*x**7))+(229*x**6))-(285*x**5)-(229*x**4)-(56*x**3)-(5*x**2)-x-1)/((x**6-(114*x**3)-1)*((x**6+(114*x**3))-1))))] }
-
-
-
-def A041998():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(22*x**18))+(23*x**17))-(137*x**16))+(160*x**15))-(297*x**14))+(1348*x**13))-(1645*x**12))+(2993*x**11))-(16610*x**10)-(19603*x**9)-(16610*x**8)-(2993*x**7)-(1645*x**6)-(1348*x**5)-(297*x**4)-(160*x**3)-(137*x**2)-(23*x)-22)/((x**10-(198*x**5)-1)*((x**10+(198*x**5))-1))))] }
-
-
-
-def A041999():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(6*x**16))-(7*x**15))+(13*x**14))-(59*x**13))+(72*x**12))-(131*x**11))+(727*x**10))-(858*x**9)-(727*x**8)-(131*x**7)-(72*x**6)-(59*x**5)-(13*x**4)-(7*x**3)-(6*x**2)-x-1)/((x**10-(198*x**5)-1)*((x**10+(198*x**5))-1))))] }
-
-
-
-def A042004():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(22*x**10))+(23*x**9))-(252*x**8))+(527*x**7))-(5522*x**6)-(6049*x**5)-(5522*x**4)-(527*x**3)-(252*x**2)-(23*x)-22)/((x**12-(12098*x**6))+1)))] }
-
-
-
-def A042005():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(11*x**8))-(23*x**7))+(241*x**6))-(264*x**5)-(241*x**4)-(23*x**3)-(11*x**2)-x-1)/(((x**2-(5*x))+1)*(x**2+(5*x)+1)*((((x**4-(5*x**3))+(24*x**2))-(5*x))+1)*(x**4+(5*x**3)+(24*x**2)+(5*x)+1))))] }
-
-
-
-def A042008():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(22*x**6))+(23*x**5))-(505*x**4)-(528*x**3)-(505*x**2)-(23*x)-22)/((x**8-(1056*x**4))+1)))] }
-
-
-
-def A042009():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(23*x**2)+1))/((x**8-(1056*x**4))+1)))] }
-
-
-
-def A042010():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(22*x**2)-(23*x)-22)/((x**4-(46*x**2))+1)))] }
-
-
-
-def A042011():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(46*x**2))+1)))] }
-
-
-
-def A042012():
- x = SR.var('x')
- return { 'ogf': [((23+x)/(1-(46*x)-x**2))] }
-
-
-
-def A042013():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(46*x)-x**2))] }
-
-
-
-def A042014():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(23*x**2)-(530*x)-23)/((x**4-(1060*x**2))+1)))] }
-
-
-
-def A042015():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(23*x)-1)/((x**4-(1060*x**2))+1)))] }
-
-
-
-def A042016():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(23*x**18))+(346*x**17))-(715*x**16))+(1061*x**15))-(4959*x**14))+(10979*x**13))-(48875*x**12))+(59854*x**11))-(168583*x**10)-(2588599*x**9)-(168583*x**8)-(59854*x**7)-(48875*x**6)-(10979*x**5)-(4959*x**4)-(1061*x**3)-(715*x**2)-(346*x)-23)/((x**20-(5177198*x**10))+1)))] }
-
-
-
-def A042017():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(15*x**17))+(31*x**16))-(46*x**15))+(215*x**14))-(476*x**13))+(2119*x**12))-(2595*x**11))+(7309*x**10))-(112230*x**9)-(7309*x**8)-(2595*x**7)-(2119*x**6)-(476*x**5)-(215*x**4)-(46*x**3)-(31*x**2)-(15*x)-1)/((x**20-(5177198*x**10))+1)))] }
-
-
-
-def A042018():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(23*x**8))+(254*x**7))-(277*x**6))+(531*x**5)+(6118*x**4)+(531*x**3)+(277*x**2)+(254*x)+23)/((x**10+(12236*x**5))-1)))] }
-
-
-
-def A042019():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(11*x**7))+(12*x**6))-(23*x**5))+(265*x**4)+(23*x**3)+(12*x**2)+(11*x)+1)/((x**10+(12236*x**5))-1)))] }
-
-
-
-def A042020():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(23*x**18))+(208*x**17))-(855*x**16))+(1063*x**15))-(1918*x**14))+(43259*x**13))-(45177*x**12))+(88436*x**11))-(398921*x**10)-(3678725*x**9)-(398921*x**8)-(88436*x**7)-(45177*x**6)-(43259*x**5)-(1918*x**4)-(1063*x**3)-(855*x**2)-(208*x)-23)/((x**20-(7357450*x**10))+1)))] }
-
-
-
-def A042021():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(9*x**17))+(37*x**16))-(46*x**15))+(83*x**14))-(1872*x**13))+(1955*x**12))-(3827*x**11))+(17263*x**10))-(159194*x**9)-(17263*x**8)-(3827*x**7)-(1955*x**6)-(1872*x**5)-(83*x**4)-(46*x**3)-(37*x**2)-(9*x)-1)/((x**20-(7357450*x**10))+1)))] }
-
-
-
-def A042023():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-(7*x**21))+(8*x**20))-(23*x**19))+(100*x**18))-(123*x**17))+(469*x**16))-(592*x**15))+(2837*x**14))-(6266*x**13))+(9103*x**12))-(69987*x**11)-(9103*x**10)-(6266*x**9)-(2837*x**8)-(592*x**7)-(469*x**6)-(123*x**5)-(100*x**4)-(23*x**3)-(8*x**2)-(7*x)-1)/((x**24-(3237608*x**12))+1)))] }
-
-
-
-def A042024():
- x = SR.var('x')
- return { 'ogf': [(((((((((((23+(139*x)+(162*x**2)+(301*x**3)+(764*x**4)+(4121*x**5)+(9006*x**6)+(13127*x**7)+(22133*x**8)+(145925*x**9)+(22133*x**10))-(13127*x**11))+(9006*x**12))-(4121*x**13))+(764*x**14))-(301*x**15))+(162*x**16))-(139*x**17))+(23*x**18))-x**19)/((1-(291850*x**10))+x**20))] }
-
-
-
-def A042025():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(6*x**17))+(7*x**16))-(13*x**15))+(33*x**14))-(178*x**13))+(389*x**12))-(567*x**11))+(956*x**10))-(6303*x**9)-(956*x**8)-(567*x**7)-(389*x**6)-(178*x**5)-(33*x**4)-(13*x**3)-(7*x**2)-(6*x)-1)/((x**20-(291850*x**10))+1)))] }
-
-
-
-def A042028():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(23*x**12))+(116*x**11))-(835*x**10))+(951*x**9))-(1786*x**8))+(13453*x**7)+(69051*x**6)+(13453*x**5)+(1786*x**4)+(951*x**3)+(835*x**2)+(116*x)+23)/((x**14+(138102*x**7))-1)))] }
-
-
-
-def A042029():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-(5*x**11))+(36*x**10))-(41*x**9))+(77*x**8))-(580*x**7))+(2977*x**6)+(580*x**5)+(77*x**4)+(41*x**3)+(36*x**2)+(5*x)+1)/((x**14+(138102*x**7))-1)))] }
-
-
-
-def A042030():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(23*x**14))+(93*x**13))-(116*x**12))+(209*x**11))-(325*x**10))+(534*x**9))-(859*x**8)-(3970*x**7)-(859*x**6)-(534*x**5)-(325*x**4)-(209*x**3)-(116*x**2)-(93*x)-23)/((x**16-(7940*x**8))+1)))] }
-
-
-
-def A042031():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(4*x**13))+(5*x**12))-(9*x**11))+(14*x**10))-(23*x**9))+(37*x**8))-(171*x**7)-(37*x**6)-(23*x**5)-(14*x**4)-(9*x**3)-(5*x**2)-(4*x)-1)/((x**16-(7940*x**8))+1)))] }
-
-
-
-def A042032():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(23*x**14))+(93*x**13))-(395*x**12))+(488*x**11))-(5275*x**10))+(5763*x**9))-(28327*x**8)-(119071*x**7)-(28327*x**6)-(5763*x**5)-(5275*x**4)-(488*x**3)-(395*x**2)-(93*x)-23)/(((x**8-(488*x**4))+1)*(x**8+(488*x**4)+1))))] }
-
-
-
-def A042033():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(4*x**13))+(17*x**12))-(21*x**11))+(227*x**10))-(248*x**9))+(1219*x**8))-(5124*x**7)-(1219*x**6)-(248*x**5)-(227*x**4)-(21*x**3)-(17*x**2)-(4*x)-1)/(((x**8-(488*x**4))+1)*(x**8+(488*x**4)+1))))] }
-
-
-
-def A042038():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(23*x**18))+(70*x**17))-(233*x**16))+(769*x**15))-(1002*x**14))+(14797*x**13))-(15799*x**12))+(62194*x**11))-(202381*x**10)-(669337*x**9)-(202381*x**8)-(62194*x**7)-(15799*x**6)-(14797*x**5)-(1002*x**4)-(769*x**3)-(233*x**2)-(70*x)-23)/((x**20-(1338674*x**10))+1)))] }
-
-
-
-def A042039():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(10*x**16))-(33*x**15))+(43*x**14))-(635*x**13))+(678*x**12))-(2669*x**11))+(8685*x**10))-(28724*x**9)-(8685*x**8)-(2669*x**7)-(678*x**6)-(635*x**5)-(43*x**4)-(33*x**3)-(10*x**2)-(3*x)-1)/((x**20-(1338674*x**10))+1)))] }
-
-
-
-def A042040():
- x = SR.var('x')
- return { 'ogf': [(((((23+(70*x)+(793*x**2)+(2449*x**3)+(793*x**4))-(70*x**5))+(23*x**6))-x**7)/(((1-(70*x**2))+x**4)*(1+(70*x**2)+x**4)))] }
-
-
-
-def A042041():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(35*x**2)+1))/(((x**4-(70*x**2))+1)*(x**4+(70*x**2)+1))))] }
-
-
-
-def A042042():
- x = SR.var('x')
- return { 'ogf': [(((((((23+(47*x)+(70*x**2)+(607*x**3)+(677*x**4)+(1961*x**5)+(677*x**6))-(607*x**7))+(70*x**8))-(47*x**9))+(23*x**10))-x**11)/((1-(3922*x**6))+x**12))] }
-
-
-
-def A042043():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(26*x**7))+(29*x**6))-(84*x**5)-(29*x**4)-(26*x**3)-(3*x**2)-(2*x)-1)/((x**12-(3922*x**6))+1)))] }
-
-
-
-def A042044():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(23*x**10))+(47*x**9))-(70*x**8))+(187*x**7))-(257*x**6)-(701*x**5)-(257*x**4)-(187*x**3)-(70*x**2)-(47*x)-23)/((x**12-(1402*x**6))+1)))] }
-
-
-
-def A042045():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**8+(4*x**6)+(15*x**4)+(4*x**2)+1))/((x**12-(1402*x**6))+1)))] }
-
-
-
-def A042049():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-(2*x**25))+(5*x**24))-(17*x**23))+(22*x**22))-(127*x**21))+(149*x**20))-(1617*x**19))+(1766*x**18))-(10447*x**17))+(12213*x**16))-(47086*x**15))+(106385*x**14))-(259856*x**13)-(106385*x**12)-(47086*x**11)-(12213*x**10)-(10447*x**9)-(1766*x**8)-(1617*x**7)-(149*x**6)-(127*x**5)-(22*x**4)-(17*x**3)-(5*x**2)-(2*x)-1)/((x**28-(12166146*x**14))+1)))] }
-
-
-
-def A042054():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(23*x**10))+(47*x**9))-(399*x**8))+(446*x**7))-(3967*x**6)-(8380*x**5)-(3967*x**4)-(446*x**3)-(399*x**2)-(47*x)-23)/((x**12-(16760*x**6))+1)))] }
-
-
-
-def A042055():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(17*x**8))-(19*x**7))+(169*x**6))-(357*x**5)-(169*x**4)-(19*x**3)-(17*x**2)-(2*x)-1)/((x**12-(16760*x**6))+1)))] }
-
-
-
-def A042056():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((23+(24*x))-x**2))/((1-(94*x**2))+x**4))] }
-
-
-
-def A042057():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(94*x**2))+1)))] }
-
-
-
-def A042060():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**21-(23*x**20))+(24*x**19))-(47*x**18))+(306*x**17))-(1271*x**16))+(1577*x**15))-(2848*x**14))+(12969*x**13))-(80662*x**12))+(93631*x**11)+(174293*x**10)+(93631*x**9)+(80662*x**8)+(12969*x**7)+(2848*x**6)+(1577*x**5)+(1271*x**4)+(306*x**3)+(47*x**2)+(24*x)+23)/((x**22+(348586*x**11))-1)))] }
-
-
-
-def A042061():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**20-x**19)+(2*x**18))-(13*x**17))+(54*x**16))-(67*x**15))+(121*x**14))-(551*x**13))+(3427*x**12))-(3978*x**11))+(7405*x**10)+(3978*x**9)+(3427*x**8)+(551*x**7)+(121*x**6)+(67*x**5)+(54*x**4)+(13*x**3)+(2*x**2)+x+1)/((x**22+(348586*x**11))-1)))] }
-
-
-
-def A042062():
- x = SR.var('x')
- return { 'ogf': [(((((((((23+(24*x)+(47*x**2)+(165*x**3)+(212*x**4)+(801*x**5)+(1013*x**6)+(1814*x**7)+(1013*x**8))-(801*x**9))+(212*x**10))-(165*x**11))+(47*x**12))-(24*x**13))+(23*x**14))-x**15)/((1-(3628*x**8))+x**16))] }
-
-
-
-def A042063():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(7*x**11))+(9*x**10))-(34*x**9))+(43*x**8))-(77*x**7)-(43*x**6)-(34*x**5)-(9*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**16-(3628*x**8))+1)))] }
-
-
-
-def A042066():
- x = SR.var('x')
- return { 'ogf': [((((((23+(24*x)+(47*x**2)+(71*x**3)+(118*x**4)+(71*x**5))-(47*x**6))+(24*x**7))-(23*x**8))+x**9)/(1-(236*x**5)-x**10))] }
-
-
-
-def A042067():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1))/((x**10+(236*x**5))-1)))] }
-
-
-
-def A042068():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(23*x**22))+(24*x**21))-(47*x**20))+(71*x**19))-(118*x**18))+(189*x**17))-(874*x**16))+(1063*x**15))-(1937*x**14))+(3000*x**13))-(4937*x**12)-(7937*x**11)-(4937*x**10)-(3000*x**9)-(1937*x**8)-(1063*x**7)-(874*x**6)-(189*x**5)-(118*x**4)-(71*x**3)-(47*x**2)-(24*x)-23)/(((x**12-(126*x**6))+1)*(x**12+(126*x**6)+1))))] }
-
-
-
-def A042069():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*((x**4-x**3)+(2*x**2)+x+1)*(((x**4+x**3+(2*x**2))-x)+1)*(x**12+(42*x**6)+1))/(((x**12-(126*x**6))+1)*(x**12+(126*x**6)+1))))] }
-
-
-
-def A042072():
- x = SR.var('x')
- return { 'ogf': [(((((23+(24*x)+(47*x**2)+(71*x**3)+(47*x**4))-(24*x**5))+(23*x**6))-x**7)/(((1-(12*x**2))+x**4)*(1+(12*x**2)+x**4)))] }
-
-
-
-def A042073():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1))/(((x**4-(12*x**2))+1)*(x**4+(12*x**2)+1))))] }
-
-
-
-def A042075():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(3*x**24))-(16*x**23))+(19*x**22))-(35*x**21))+(89*x**20))-(213*x**19))+(515*x**18))-(728*x**17))+(1243*x**16))-(6943*x**15))+(15129*x**14))-(22072*x**13)-(15129*x**12)-(6943*x**11)-(1243*x**10)-(728*x**9)-(515*x**8)-(213*x**7)-(89*x**6)-(35*x**5)-(19*x**4)-(16*x**3)-(3*x**2)-x-1)/((x**28-(1045570*x**14))+1)))] }
-
-
-
-def A042078():
- x = SR.var('x')
- return { 'ogf': [(((((((((((23+(24*x)+(71*x**2)+(95*x**3)+(261*x**4)+(6098*x**5)+(12457*x**6)+(18555*x**7)+(49567*x**8)+(68122*x**9)+(49567*x**10))-(18555*x**11))+(12457*x**12))-(6098*x**13))+(261*x**14))-(95*x**15))+(71*x**16))-(24*x**17))+(23*x**18))-x**19)/((1-(136244*x**10))+x**20))] }
-
-
-
-def A042079():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(3*x**16))-(4*x**15))+(11*x**14))-(257*x**13))+(525*x**12))-(782*x**11))+(2089*x**10))-(2871*x**9)-(2089*x**8)-(782*x**7)-(525*x**6)-(257*x**5)-(11*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**20-(136244*x**10))+1)))] }
-
-
-
-def A042080():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(23*x**6))+(24*x**5))-(71*x**4)-(95*x**3)-(71*x**2)-(24*x)-23)/((x**8-(190*x**4))+1)))] }
-
-
-
-def A042081():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(190*x**4))+1)))] }
-
-
-
-def A042086():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(23*x**10))+(24*x**9))-(119*x**8))+(381*x**7))-(1643*x**6)-(2024*x**5)-(1643*x**4)-(381*x**3)-(119*x**2)-(24*x)-23)/((x**12-(4048*x**6))+1)))] }
-
-
-
-def A042087():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(5*x**8))-(16*x**7))+(69*x**6))-(85*x**5)-(69*x**4)-(16*x**3)-(5*x**2)-x-1)/(((x**4-(16*x**2))+1)*(x**8+(16*x**6)+(255*x**4)+(16*x**2)+1))))] }
-
-
-
-def A042088():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(23*x**6))+(24*x**5))-(119*x**4)-(143*x**3)-(119*x**2)-(24*x)-23)/((x**8-(286*x**4))+1)))] }
-
-
-
-def A042089():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)*(1+(6*x**2)+x**4))/((1-(286*x**4))+x**8))] }
-
-
-
-def A042092():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(23*x**6))+(24*x**5))-(167*x**4)-(191*x**3)-(167*x**2)-(24*x)-23)/((x**8-(382*x**4))+1)))] }
-
-
-
-def A042093():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)*(1+(8*x**2)+x**4))/((1-(382*x**4))+x**8))] }
-
-
-
-def A042096():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(23*x**6))+(24*x**5))-(263*x**4)-(287*x**3)-(263*x**2)-(24*x)-23)/((x**8-(574*x**4))+1)))] }
-
-
-
-def A042097():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(12*x**2)+1))/(((x**4-(24*x**2))+1)*(x**4+(24*x**2)+1))))] }
-
-
-
-def A042098():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(23*x**6))+(24*x**5))-(359*x**4)-(383*x**3)-(359*x**2)-(24*x)-23)/((x**8-(766*x**4))+1)))] }
-
-
-
-def A042099():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(16*x**2)+1))/((x**8-(766*x**4))+1)))] }
-
-
-
-def A042100():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(23*x**6))+(24*x**5))-(551*x**4)-(575*x**3)-(551*x**2)-(24*x)-23)/((x**8-(1150*x**4))+1)))] }
-
-
-
-def A042101():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(24*x**2)+1))/((x**8-(1150*x**4))+1)))] }
-
-
-
-def A042102():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(23*x**2)-(24*x)-23)/((x**4-(48*x**2))+1)))] }
-
-
-
-def A042103():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(48*x**2))+1)))] }
-
-
-
-def A042104():
- x = SR.var('x')
- return { 'ogf': [((24+x)/(1-(48*x)-x**2))] }
-
-
-
-def A042105():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(48*x)-x**2))] }
-
-
-
-def A042106():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(24*x**2)-(577*x)-24)/((x**4-(1154*x**2))+1)))] }
-
-
-
-def A042107():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(24*x)-1)/(((x**2-(34*x))+1)*(x**2+(34*x)+1))))] }
-
-
-
-def A042108():
- x = SR.var('x')
- return { 'ogf': [(((24+(385*x)+(24*x**2))-x**3)/((1-(770*x**2))+x**4))] }
-
-
-
-def A042109():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(16*x)-1)/((x**4-(770*x**2))+1)))] }
-
-
-
-def A042110():
- x = SR.var('x')
- return { 'ogf': [(((24+(289*x)+(24*x**2))-x**3)/((1-(578*x**2))+x**4))] }
-
-
-
-def A042111():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(12*x)-1)/((x**2-(24*x)-1)*((x**2+(24*x))-1))))] }
-
-
-
-def A042114():
- x = SR.var('x')
- return { 'ogf': [(((24+(193*x)+(24*x**2))-x**3)/((1-(386*x**2))+x**4))] }
-
-
-
-def A042115():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(8*x)-1)/((x**4-(386*x**2))+1)))] }
-
-
-
-def A042116():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(24*x**18))+(145*x**17))-(169*x**16))+(1328*x**15))-(6809*x**14))+(28564*x**13))-(149629*x**12))+(1075967*x**11))-(1225596*x**10)-(8429543*x**9)-(1225596*x**8)-(1075967*x**7)-(149629*x**6)-(28564*x**5)-(6809*x**4)-(1328*x**3)-(169*x**2)-(145*x)-24)/((x**20-(16859086*x**10))+1)))] }
-
-
-
-def A042117():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(6*x**17))+(7*x**16))-(55*x**15))+(282*x**14))-(1183*x**13))+(6197*x**12))-(44562*x**11))+(50759*x**10))-(349116*x**9)-(50759*x**8)-(44562*x**7)-(6197*x**6)-(1183*x**5)-(282*x**4)-(55*x**3)-(7*x**2)-(6*x)-1)/((x**20-(16859086*x**10))+1)))] }
-
-
-
-def A042118():
- x = SR.var('x')
- return { 'ogf': [(((24+(145*x)+(24*x**2))-x**3)/((1-(290*x**2))+x**4))] }
-
-
-
-def A042119():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(6*x)-1)/((x**4-(290*x**2))+1)))] }
-
-
-
-def A042120():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(24*x**14))+(121*x**13))-(266*x**12))+(387*x**11))-(1814*x**10))+(2201*x**9))-(6216*x**8)-(33281*x**7)-(6216*x**6)-(2201*x**5)-(1814*x**4)-(387*x**3)-(266*x**2)-(121*x)-24)/((x**4-(16*x**2)-1)*((x**4+(16*x**2))-1)*(x**8+(258*x**4)+1))))] }
-
-
-
-def A042121():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(5*x**13))+(11*x**12))-(16*x**11))+(75*x**10))-(91*x**9))+(257*x**8))-(1376*x**7)-(257*x**6)-(91*x**5)-(75*x**4)-(16*x**3)-(11*x**2)-(5*x)-1)/((x**4-(16*x**2)-1)*((x**4+(16*x**2))-1)*(x**8+(258*x**4)+1))))] }
-
-
-
-def A042126():
- x = SR.var('x')
- return { 'ogf': [(((24+(97*x)+(24*x**2))-x**3)/((1-(194*x**2))+x**4))] }
-
-
-
-def A042127():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/(((x**2-(14*x))+1)*(x**2+(14*x)+1))))] }
-
-
-
-def A042130():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(24*x**10))+(73*x**9))-(170*x**8))+(753*x**7))-(1676*x**6)-(5781*x**5)-(1676*x**4)-(753*x**3)-(170*x**2)-(73*x)-24)/((x**12-(11562*x**6))+1)))] }
-
-
-
-def A042131():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(3*x**9))+(7*x**8))-(31*x**7))+(69*x**6))-(238*x**5)-(69*x**4)-(31*x**3)-(7*x**2)-(3*x)-1)/((x**12-(11562*x**6))+1)))] }
-
-
-
-def A042132():
- x = SR.var('x')
- return { 'ogf': [(((((((((((24+(73*x)+(316*x**2)+(389*x**3)+(705*x**4)+(5324*x**5)+(6029*x**6)+(11353*x**7)+(51441*x**8)+(165676*x**9)+(51441*x**10))-(11353*x**11))+(6029*x**12))-(5324*x**13))+(705*x**14))-(389*x**15))+(316*x**16))-(73*x**17))+(24*x**18))-x**19)/((1-(331352*x**10))+x**20))] }
-
-
-
-def A042133():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(13*x**16))-(16*x**15))+(29*x**14))-(219*x**13))+(248*x**12))-(467*x**11))+(2116*x**10))-(6815*x**9)-(2116*x**8)-(467*x**7)-(248*x**6)-(219*x**5)-(29*x**4)-(16*x**3)-(13*x**2)-(3*x)-1)/((x**20-(331352*x**10))+1)))] }
-
-
-
-def A042134():
- x = SR.var('x')
- return { 'ogf': [(((24+(73*x)+(24*x**2))-x**3)/((x**4-(146*x**2))+1))] }
-
-
-
-def A042135():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(3*x)-1)/((x**2-(12*x)-1)*((x**2+(12*x))-1))))] }
-
-
-
-def A042138():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(24*x**18))+(49*x**17))-(73*x**16))+(195*x**15))-(1048*x**14))+(25347*x**13))-(127783*x**12))+(280913*x**11))-(408696*x**10)-(1098305*x**9)-(408696*x**8)-(280913*x**7)-(127783*x**6)-(25347*x**5)-(1048*x**4)-(195*x**3)-(73*x**2)-(49*x)-24)/((x**20-(2196610*x**10))+1)))] }
-
-
-
-def A042139():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(8*x**15))+(43*x**14))-(1040*x**13))+(5243*x**12))-(11526*x**11))+(16769*x**10))-(45064*x**9)-(16769*x**8)-(11526*x**7)-(5243*x**6)-(1040*x**5)-(43*x**4)-(8*x**3)-(3*x**2)-(2*x)-1)/((x**20-(2196610*x**10))+1)))] }
-
-
-
-def A042141():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(5*x**15))+(23*x**14))-(28*x**13))+(135*x**12))-(163*x**11))+(298*x**10))-(759*x**9)-(298*x**8)-(163*x**7)-(135*x**6)-(28*x**5)-(23*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/((x**20-(37028*x**10))+1)))] }
-
-
-
-def A042146():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(24*x**18))+(49*x**17))-(220*x**16))+(269*x**15))-(4255*x**14))+(8779*x**13))-(135940*x**12))+(144719*x**11))-(714816*x**10)-(1574351*x**9)-(714816*x**8)-(144719*x**7)-(135940*x**6)-(8779*x**5)-(4255*x**4)-(269*x**3)-(220*x**2)-(49*x)-24)/((x**20-(3148702*x**10))+1)))] }
-
-
-
-def A042147():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(9*x**16))-(11*x**15))+(174*x**14))-(359*x**13))+(5559*x**12))-(5918*x**11))+(29231*x**10))-(64380*x**9)-(29231*x**8)-(5918*x**7)-(5559*x**6)-(359*x**5)-(174*x**4)-(11*x**3)-(9*x**2)-(2*x)-1)/((x**20-(3148702*x**10))+1)))] }
-
-
-
-def A042150():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((24+(25*x))-x**2))/(((1-(10*x))+x**2)*(1+(10*x)+x**2)))] }
-
-
-
-def A042151():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/(((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A042154():
- x = SR.var('x')
- return { 'ogf': [(((((((24+(25*x)+(49*x**2)+(319*x**3)+(368*x**4)+(687*x**5)+(368*x**6))-(319*x**7))+(49*x**8))-(25*x**9))+(24*x**10))-x**11)/((1-(1374*x**6))+x**12))] }
-
-
-
-def A042155():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*((x**4-x**3)+(2*x**2)+x+1)*(((x**4+(2*x**3)+(5*x**2))-(2*x))+1))/((x**12-(1374*x**6))+1)))] }
-
-
-
-def A042156():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(24*x**18))+(25*x**17))-(49*x**16))+(172*x**15))-(221*x**14))+(5255*x**13))-(5476*x**12))+(21683*x**11))-(27159*x**10)-(48842*x**9)-(27159*x**8)-(21683*x**7)-(5476*x**6)-(5255*x**5)-(221*x**4)-(172*x**3)-(49*x**2)-(25*x)-24)/((x**20-(97684*x**10))+1)))] }
-
-
-
-def A042157():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(7*x**15))+(9*x**14))-(214*x**13))+(223*x**12))-(883*x**11))+(1106*x**10))-(1989*x**9)-(1106*x**8)-(883*x**7)-(223*x**6)-(214*x**5)-(9*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**20-(97684*x**10))+1)))] }
-
-
-
-def A042160():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(24*x**22))+(25*x**21))-(49*x**20))+(123*x**19))-(1402*x**18))+(1525*x**17))-(13602*x**16))+(15127*x**15))-(179999*x**14))+(375125*x**13))-(555124*x**12)-(930249*x**11)-(555124*x**10)-(375125*x**9)-(179999*x**8)-(15127*x**7)-(13602*x**6)-(1525*x**5)-(1402*x**4)-(123*x**3)-(49*x**2)-(25*x)-24)/((x**4-(11*x**2)-1)*((x**4+(11*x**2))-1)*((x**8-(11*x**6))+(122*x**4)+(11*x**2)+1)*(((x**8+(11*x**6)+(122*x**4))-(11*x**2))+1))))] }
-
-
-
-def A042161():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(2*x**20))-(5*x**19))+(57*x**18))-(62*x**17))+(553*x**16))-(615*x**15))+(7318*x**14))-(15251*x**13))+(22569*x**12))-(37820*x**11)-(22569*x**10)-(15251*x**9)-(7318*x**8)-(615*x**7)-(553*x**6)-(62*x**5)-(57*x**4)-(5*x**3)-(2*x**2)-x-1)/((x**4-(11*x**2)-1)*((x**4+(11*x**2))-1)*((x**8-(11*x**6))+(122*x**4)+(11*x**2)+1)*(((x**8+(11*x**6)+(122*x**4))-(11*x**2))+1))))] }
-
-
-
-def A042166():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(24*x**14))+(25*x**13))-(49*x**12))+(74*x**11))-(863*x**10))+(937*x**9))-(1800*x**8)-(2737*x**7)-(1800*x**6)-(937*x**5)-(863*x**4)-(74*x**3)-(49*x**2)-(25*x)-24)/(((x**8-(74*x**4))+1)*(x**8+(74*x**4)+1))))] }
-
-
-
-def A042167():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1)*(x**8+(37*x**4)+1))/(((x**8-(74*x**4))+1)*(x**8+(74*x**4)+1))))] }
-
-
-
-def A042168():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(24*x**22))+(25*x**21))-(74*x**20))+(691*x**19))-(765*x**18))+(1456*x**17))-(9501*x**16))+(10957*x**15))-(20458*x**14))+(195079*x**13))-(410616*x**12)-(605695*x**11)-(410616*x**10)-(195079*x**9)-(20458*x**8)-(10957*x**7)-(9501*x**6)-(1456*x**5)-(765*x**4)-(691*x**3)-(74*x**2)-(25*x)-24)/((x**24-(1211390*x**12))+1)))] }
-
-
-
-def A042169():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(3*x**20))-(28*x**19))+(31*x**18))-(59*x**17))+(385*x**16))-(444*x**15))+(829*x**14))-(7905*x**13))+(16639*x**12))-(24544*x**11)-(16639*x**10)-(7905*x**9)-(829*x**8)-(444*x**7)-(385*x**6)-(59*x**5)-(31*x**4)-(28*x**3)-(3*x**2)-x-1)/((x**24-(1211390*x**12))+1)))] }
-
-
-
-def A042170():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(24*x**16))+(25*x**15))-(74*x**14))+(247*x**13))-(1309*x**12))+(6792*x**11))-(21685*x**10))+(50162*x**9)+(71847*x**8)+(50162*x**7)+(21685*x**6)+(6792*x**5)+(1309*x**4)+(247*x**3)+(74*x**2)+(25*x)+24)/((x**18+(143694*x**9))-1)))] }
-
-
-
-def A042171():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-x**15)+(3*x**14))-(10*x**13))+(53*x**12))-(275*x**11))+(878*x**10))-(2031*x**9))+(2909*x**8)+(2031*x**7)+(878*x**6)+(275*x**5)+(53*x**4)+(10*x**3)+(3*x**2)+x+1)/((x**18+(143694*x**9))-1)))] }
-
-
-
-def A042174():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(24*x**14))+(25*x**13))-(74*x**12))+(99*x**11))-(470*x**10))+(569*x**9))-(1608*x**8)-(2177*x**7)-(1608*x**6)-(569*x**5)-(470*x**4)-(99*x**3)-(74*x**2)-(25*x)-24)/((x**4-(8*x**2)-1)*((x**4+(8*x**2))-1)*(x**8+(66*x**4)+1))))] }
-
-
-
-def A042175():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1)*(x**8+(22*x**4)+1))/((x**4-(8*x**2)-1)*((x**4+(8*x**2))-1)*(x**8+(66*x**4)+1))))] }
-
-
-
-def A042180():
- x = SR.var('x')
- return { 'ogf': [(((((24+(25*x)+(99*x**2)+(124*x**3)+(99*x**4))-(25*x**5))+(24*x**6))-x**7)/((1-(248*x**4))+x**8))] }
-
-
-
-def A042181():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(5*x**2)+1))/((x**8-(248*x**4))+1)))] }
-
-
-
-def A042182():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(24*x**18))+(25*x**17))-(124*x**16))+(149*x**15))-(273*x**14))+(1787*x**13))-(2060*x**12))+(3847*x**11))-(17448*x**10)-(21295*x**9)-(17448*x**8)-(3847*x**7)-(2060*x**6)-(1787*x**5)-(273*x**4)-(149*x**3)-(124*x**2)-(25*x)-24)/((x**20-(42590*x**10))+1)))] }
-
-
-
-def A042183():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(5*x**16))-(6*x**15))+(11*x**14))-(72*x**13))+(83*x**12))-(155*x**11))+(703*x**10))-(858*x**9)-(703*x**8)-(155*x**7)-(83*x**6)-(72*x**5)-(11*x**4)-(6*x**3)-(5*x**2)-x-1)/((x**20-(42590*x**10))+1)))] }
-
-
-
-def A042186():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(24*x**10))+(25*x**9))-(174*x**8))+(1417*x**7))-(8676*x**6)-(10093*x**5)-(8676*x**4)-(1417*x**3)-(174*x**2)-(25*x)-24)/((x**12-(20186*x**6))+1)))] }
-
-
-
-def A042187():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(7*x**8))-(57*x**7))+(349*x**6))-(406*x**5)-(349*x**4)-(57*x**3)-(7*x**2)-x-1)/((x**12-(20186*x**6))+1)))] }
-
-
-
-def A042190():
- x = SR.var('x')
- return { 'ogf': [(((((24+(25*x)+(224*x**2)+(249*x**3)+(224*x**4))-(25*x**5))+(24*x**6))-x**7)/((1-(498*x**4))+x**8))] }
-
-
-
-def A042191():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(10*x**2)+1))/((x**8-(498*x**4))+1)))] }
-
-
-
-def A042192():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(24*x**10))+(25*x**9))-(299*x**8))+(623*x**7))-(7152*x**6)-(7775*x**5)-(7152*x**4)-(623*x**3)-(299*x**2)-(25*x)-24)/(((x**4-(25*x**2))+1)*(x**8+(25*x**6)+(624*x**4)+(25*x**2)+1))))] }
-
-
-
-def A042193():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(12*x**8))-(25*x**7))+(287*x**6))-(312*x**5)-(287*x**4)-(25*x**3)-(12*x**2)-x-1)/(((x**4-(25*x**2))+1)*(x**8+(25*x**6)+(624*x**4)+(25*x**2)+1))))] }
-
-
-
-def A042196():
- x = SR.var('x')
- return { 'ogf': [(((((24+(25*x)+(599*x**2)+(624*x**3)+(599*x**4))-(25*x**5))+(24*x**6))-x**7)/((1-(1248*x**4))+x**8))] }
-
-
-
-def A042197():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(25*x**2)+1))/((x**8-(1248*x**4))+1)))] }
-
-
-
-def A042198():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(24*x**2)-(25*x)-24)/((x**4-(50*x**2))+1)))] }
-
-
-
-def A042199():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(50*x**2))+1)))] }
-
-
-
-def A042200():
- x = SR.var('x')
- return { 'ogf': [((25+x)/(1-(50*x)-x**2))] }
-
-
-
-def A042201():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(50*x)-x**2))] }
-
-
-
-def A042202():
- x = SR.var('x')
- return { 'ogf': [(((25+(626*x)+(25*x**2))-x**3)/((1-(1252*x**2))+x**4))] }
-
-
-
-def A042203():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(25*x)-1)/((x**4-(1252*x**2))+1)))] }
-
-
-
-def A042206():
- x = SR.var('x')
- return { 'ogf': [((((((25+(301*x)+(326*x**2)+(627*x**3)+(7850*x**4)+(627*x**5))-(326*x**6))+(301*x**7))-(25*x**8))+x**9)/(1-(15700*x**5)-x**10))] }
-
-
-
-def A042207():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(12*x**7))+(13*x**6))-(25*x**5))+(313*x**4)+(25*x**3)+(13*x**2)+(12*x)+1)/((x**10+(15700*x**5))-1)))] }
-
-
-
-def A042208():
- x = SR.var('x')
- return { 'ogf': [(((25+(251*x)+(25*x**2))-x**3)/((x**4-(502*x**2))+1))] }
-
-
-
-def A042209():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(10*x)-1)/((x**4-(502*x**2))+1)))] }
-
-
-
-def A042212():
- x = SR.var('x')
- return { 'ogf': [(((((25+(176*x)+(1081*x**2)+(7743*x**3)+(1081*x**4))-(176*x**5))+(25*x**6))-x**7)/((1-(15486*x**4))+x**8))] }
-
-
-
-def A042213():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(7*x)-1)*(x**4+(44*x**2)+1))/((x**8-(15486*x**4))+1)))] }
-
-
-
-def A042218():
- x = SR.var('x')
- return { 'ogf': [(((25+(126*x)+(25*x**2))-x**3)/((x**4-(252*x**2))+1))] }
-
-
-
-def A042219():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(5*x)-1)/((x**4-(252*x**2))+1)))] }
-
-
-
-def A042224():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(25*x**14))+(76*x**13))-(101*x**12))+(682*x**11))-(1465*x**10))+(9472*x**9))-(10937*x**8)-(42283*x**7)-(10937*x**6)-(9472*x**5)-(1465*x**4)-(682*x**3)-(101*x**2)-(76*x)-25)/((x**16-(84566*x**8))+1)))] }
-
-
-
-def A042225():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(4*x**12))-(27*x**11))+(58*x**10))-(375*x**9))+(433*x**8))-(1674*x**7)-(433*x**6)-(375*x**5)-(58*x**4)-(27*x**3)-(4*x**2)-(3*x)-1)/((x**16-(84566*x**8))+1)))] }
-
-
-
-def A042228():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(25*x**22))+(76*x**21))-(177*x**20))+(253*x**19))-(1189*x**18))+(1442*x**17))-(17051*x**16))+(18493*x**15))-(91023*x**14))+(109516*x**13))-(310055*x**12)-(1039681*x**11)-(310055*x**10)-(109516*x**9)-(91023*x**8)-(18493*x**7)-(17051*x**6)-(1442*x**5)-(1189*x**4)-(253*x**3)-(177*x**2)-(76*x)-25)/(((x**6-(38*x**3))+1)*(x**6+(38*x**3)+1)*(x**12+(1442*x**6)+1))))] }
-
-
-
-def A042229():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-(3*x**21))+(7*x**20))-(10*x**19))+(47*x**18))-(57*x**17))+(674*x**16))-(731*x**15))+(3598*x**14))-(4329*x**13))+(12256*x**12))-(41097*x**11)-(12256*x**10)-(4329*x**9)-(3598*x**8)-(731*x**7)-(674*x**6)-(57*x**5)-(47*x**4)-(10*x**3)-(7*x**2)-(3*x)-1)/(((x**6-(38*x**3))+1)*(x**6+(38*x**3)+1)*(x**12+(1442*x**6)+1))))] }
-
-
-
-def A042232():
- x = SR.var('x')
- return { 'ogf': [(((((((25+(51*x)+(76*x**2)+(1875*x**3)+(1951*x**4)+(5777*x**5)+(1951*x**6))-(1875*x**7))+(76*x**8))-(51*x**9))+(25*x**10))-x**11)/((1-(11554*x**6))+x**12))] }
-
-
-
-def A042233():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(74*x**7))+(77*x**6))-(228*x**5)-(77*x**4)-(74*x**3)-(3*x**2)-(2*x)-1)/((x**12-(11554*x**6))+1)))] }
-
-
-
-def A042236():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(25*x**18))+(51*x**17))-(76*x**16))+(127*x**15))-(203*x**14))+(1345*x**13))-(1548*x**12))+(2893*x**11))-(4441*x**10)-(11775*x**9)-(4441*x**8)-(2893*x**7)-(1548*x**6)-(1345*x**5)-(203*x**4)-(127*x**3)-(76*x**2)-(51*x)-25)/((x**20-(23550*x**10))+1)))] }
-
-
-
-def A042237():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(5*x**15))+(8*x**14))-(53*x**13))+(61*x**12))-(114*x**11))+(175*x**10))-(464*x**9)-(175*x**8)-(114*x**7)-(61*x**6)-(53*x**5)-(8*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/((x**20-(23550*x**10))+1)))] }
-
-
-
-def A042238():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(25*x**18))+(51*x**17))-(76*x**16))+(127*x**15))-(1600*x**14))+(16127*x**13))-(195124*x**12))+(211251*x**11))-(406375*x**10)-(1024001*x**9)-(406375*x**8)-(211251*x**7)-(195124*x**6)-(16127*x**5)-(1600*x**4)-(127*x**3)-(76*x**2)-(51*x)-25)/((x**20-(2048002*x**10))+1)))] }
-
-
-
-def A042239():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(5*x**15))+(63*x**14))-(635*x**13))+(7683*x**12))-(8318*x**11))+(16001*x**10))-(40320*x**9)-(16001*x**8)-(8318*x**7)-(7683*x**6)-(635*x**5)-(63*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/((x**20-(2048002*x**10))+1)))] }
-
-
-
-def A042240():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((((25+(26*x)+(101*x**2)+(204*x**3))-(77*x**4))+(26*x**5))-x**6))/((1-(610*x**4))+x**8))] }
-
-
-
-def A042241():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(6*x**2)+1))/((x**8-(610*x**4))+1)))] }
-
-
-
-def A042244():
- x = SR.var('x')
- return { 'ogf': [(((((((25+(51*x)+(280*x**2)+(1731*x**3)+(8935*x**4)+(19601*x**5)+(8935*x**6))-(1731*x**7))+(280*x**8))-(51*x**9))+(25*x**10))-x**11)/((1-(39202*x**6))+x**12))] }
-
-
-
-def A042245():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(11*x**8))-(68*x**7))+(351*x**6))-(770*x**5)-(351*x**4)-(68*x**3)-(11*x**2)-(2*x)-1)/(((x**2-(6*x))+1)*(x**2+(6*x)+1)*((((x**4-(6*x**3))+(35*x**2))-(6*x))+1)*(x**4+(6*x**3)+(35*x**2)+(6*x)+1))))] }
-
-
-
-def A042248():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((25+(26*x))-x**2))/((1-(10*x)-x**2)*((1+(10*x))-x**2)))] }
-
-
-
-def A042249():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**2-(10*x)-1)*((x**2+(10*x))-1))))] }
-
-
-
-def A042250():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(25*x**10))+(26*x**9))-(51*x**8))+(842*x**7))-(893*x**6)-(1735*x**5)-(893*x**4)-(842*x**3)-(51*x**2)-(26*x)-25)/((x**12-(3470*x**6))+1)))] }
-
-
-
-def A042251():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(34*x**3)-1))/((x**12-(3470*x**6))+1)))] }
-
-
-
-def A042260():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(25*x**18))+(26*x**17))-(51*x**16))+(77*x**15))-(128*x**14))+(333*x**13))-(461*x**12))+(794*x**11))-(1255*x**10)-(2049*x**9)-(1255*x**8)-(794*x**7)-(461*x**6)-(333*x**5)-(128*x**4)-(77*x**3)-(51*x**2)-(26*x)-25)/((x**10-(64*x**5)-1)*((x**10+(64*x**5))-1))))] }
-
-
-
-def A042261():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1)*(x**10-(16*x**5)-1))/((x**10-(64*x**5)-1)*((x**10+(64*x**5))-1))))] }
-
-
-
-def A042264():
- x = SR.var('x')
- return { 'ogf': [(((((((((25+(26*x)+(51*x**2)+(77*x**3)+(513*x**4)+(590*x**5)+(1103*x**6)+(1693*x**7)+(1103*x**8))-(590*x**9))+(513*x**10))-(77*x**11))+(51*x**12))-(26*x**13))+(25*x**14))-x**15)/((1-(3386*x**8))+x**16))] }
-
-
-
-def A042265():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1)*(x**8+(22*x**4)+1))/((x**16-(3386*x**8))+1)))] }
-
-
-
-def A042266():
- x = SR.var('x')
- return { 'ogf': [(((((((25+(26*x)+(77*x**2)+(1951*x**3)+(3979*x**4)+(5930*x**5)+(3979*x**6))-(1951*x**7))+(77*x**8))-(26*x**9))+(25*x**10))-x**11)/((1-(11860*x**6))+x**12))] }
-
-
-
-def A042267():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(76*x**7))+(155*x**6))-(231*x**5)-(155*x**4)-(76*x**3)-(3*x**2)-x-1)/((x**12-(11860*x**6))+1)))] }
-
-
-
-def A042268():
- x = SR.var('x')
- return { 'ogf': [(((((((25+(26*x)+(77*x**2)+(334*x**3)+(745*x**4)+(1079*x**5)+(745*x**6))-(334*x**7))+(77*x**8))-(26*x**9))+(25*x**10))-x**11)/((1-(2158*x**6))+x**12))] }
-
-
-
-def A042269():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(13*x**7))+(29*x**6))-(42*x**5)-(29*x**4)-(13*x**3)-(3*x**2)-x-1)/(((x**4-(13*x**2))+1)*(x**8+(13*x**6)+(168*x**4)+(13*x**2)+1))))] }
-
-
-
-def A042274():
- x = SR.var('x')
- return { 'ogf': [(((((25+(26*x)+(77*x**2)+(103*x**3)+(77*x**4))-(26*x**5))+(25*x**6))-x**7)/((1-(206*x**4))+x**8))] }
-
-
-
-def A042275():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(206*x**4))+1)))] }
-
-
-
-def A042278():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(25*x**18))+(26*x**17))-(103*x**16))+(129*x**15))-(361*x**14))+(851*x**13))-(2063*x**12))+(2914*x**11))-(10805*x**10)-(13719*x**9)-(10805*x**8)-(2914*x**7)-(2063*x**6)-(851*x**5)-(361*x**4)-(129*x**3)-(103*x**2)-(26*x)-25)/((x**20-(27438*x**10))+1)))] }
-
-
-
-def A042279():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(4*x**16))-(5*x**15))+(14*x**14))-(33*x**13))+(80*x**12))-(113*x**11))+(419*x**10))-(532*x**9)-(419*x**8)-(113*x**7)-(80*x**6)-(33*x**5)-(14*x**4)-(5*x**3)-(4*x**2)-x-1)/((x**20-(27438*x**10))+1)))] }
-
-
-
-def A042284():
- x = SR.var('x')
- return { 'ogf': [(((((((((25+(26*x)+(155*x**2)+(336*x**3)+(4187*x**4)+(8710*x**5)+(47737*x**6)+(56447*x**7)+(47737*x**8))-(8710*x**9))+(4187*x**10))-(336*x**11))+(155*x**12))-(26*x**13))+(25*x**14))-x**15)/(((1-(336*x**4))+x**8)*(1+(336*x**4)+x**8)))] }
-
-
-
-def A042285():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(6*x**12))-(13*x**11))+(162*x**10))-(337*x**9))+(1847*x**8))-(2184*x**7)-(1847*x**6)-(337*x**5)-(162*x**4)-(13*x**3)-(6*x**2)-x-1)/(((x**8-(336*x**4))+1)*(x**8+(336*x**4)+1))))] }
-
-
-
-def A042290():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(25*x**18))+(26*x**17))-(259*x**16))+(544*x**15))-(803*x**14))+(1347*x**13))-(2150*x**12))+(5647*x**11))-(52973*x**10)-(58620*x**9)-(52973*x**8)-(5647*x**7)-(2150*x**6)-(1347*x**5)-(803*x**4)-(544*x**3)-(259*x**2)-(26*x)-25)/((x**20-(117240*x**10))+1)))] }
-
-
-
-def A042291():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(10*x**16))-(21*x**15))+(31*x**14))-(52*x**13))+(83*x**12))-(218*x**11))+(2045*x**10))-(2263*x**9)-(2045*x**8)-(218*x**7)-(83*x**6)-(52*x**5)-(31*x**4)-(21*x**3)-(10*x**2)-x-1)/((x**20-(117240*x**10))+1)))] }
-
-
-
-def A042292():
- x = SR.var('x')
- return { 'ogf': [(((((25+(26*x)+(311*x**2)+(337*x**3)+(311*x**4))-(26*x**5))+(25*x**6))-x**7)/((1-(674*x**4))+x**8))] }
-
-
-
-def A042293():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(13*x**2)+1))/(((x**4-(26*x**2))+1)*(x**4+(26*x**2)+1))))] }
-
-
-
-def A042296():
- x = SR.var('x')
- return { 'ogf': [(((((25+(26*x)+(649*x**2)+(675*x**3)+(649*x**4))-(26*x**5))+(25*x**6))-x**7)/((1-(1350*x**4))+x**8))] }
-
-
-
-def A042297():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(26*x**2)+1))/((x**8-(1350*x**4))+1)))] }
-
-
-
-def A042298():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(25*x**2)-(26*x)-25)/((x**4-(52*x**2))+1)))] }
-
-
-
-def A042299():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(52*x**2))+1)))] }
-
-
-
-def A042300():
- x = SR.var('x')
- return { 'ogf': [((26+x)/(1-(52*x)-x**2))] }
-
-
-
-def A042301():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(52*x)-x**2))] }
-
-
-
-def A042302():
- x = SR.var('x')
- return { 'ogf': [(((26+(677*x)+(26*x**2))-x**3)/((1-(1354*x**2))+x**4))] }
-
-
-
-def A042303():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(26*x)-1)/((x**4-(1354*x**2))+1)))] }
-
-
-
-def A042306():
- x = SR.var('x')
- return { 'ogf': [(((26+(339*x)+(26*x**2))-x**3)/((1-(678*x**2))+x**4))] }
-
-
-
-def A042307():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(13*x)-1)/((x**2-(26*x)-1)*((x**2+(26*x))-1))))] }
-
-
-
-def A042310():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(26*x**18))+(209*x**17))-(235*x**16))+(679*x**15))-(3630*x**14))+(7939*x**13))-(43325*x**12))+(94589*x**11))-(137914*x**10)-(1197901*x**9)-(137914*x**8)-(94589*x**7)-(43325*x**6)-(7939*x**5)-(3630*x**4)-(679*x**3)-(235*x**2)-(209*x)-26)/((x**20-(2395802*x**10))+1)))] }
-
-
-
-def A042311():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(8*x**17))+(9*x**16))-(26*x**15))+(139*x**14))-(304*x**13))+(1659*x**12))-(3622*x**11))+(5281*x**10))-(45870*x**9)-(5281*x**8)-(3622*x**7)-(1659*x**6)-(304*x**5)-(139*x**4)-(26*x**3)-(9*x**2)-(8*x)-1)/((x**20-(2395802*x**10))+1)))] }
-
-
-
-def A042314():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(26*x**14))+(157*x**13))-(183*x**12))+(340*x**11))-(4263*x**10))+(4603*x**9))-(8866*x**8)-(57799*x**7)-(8866*x**6)-(4603*x**5)-(4263*x**4)-(340*x**3)-(183*x**2)-(157*x)-26)/((x**16-(115598*x**8))+1)))] }
-
-
-
-def A042315():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(6*x**13))+(7*x**12))-(13*x**11))+(163*x**10))-(176*x**9))+(339*x**8))-(2210*x**7)-(339*x**6)-(176*x**5)-(163*x**4)-(13*x**3)-(7*x**2)-(6*x)-1)/(((x**8-(340*x**4))+1)*(x**8+(340*x**4)+1))))] }
-
-
-
-def A042320():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(26*x**18))+(105*x**17))-(131*x**16))+(367*x**15))-(498*x**14))+(8335*x**13))-(8833*x**12))+(26001*x**11))-(34834*x**10)-(165337*x**9)-(34834*x**8)-(26001*x**7)-(8833*x**6)-(8335*x**5)-(498*x**4)-(367*x**3)-(131*x**2)-(105*x)-26)/((x**20-(330674*x**10))+1)))] }
-
-
-
-def A042321():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(4*x**17))+(5*x**16))-(14*x**15))+(19*x**14))-(318*x**13))+(337*x**12))-(992*x**11))+(1329*x**10))-(6308*x**9)-(1329*x**8)-(992*x**7)-(337*x**6)-(318*x**5)-(19*x**4)-(14*x**3)-(5*x**2)-(4*x)-1)/((x**20-(330674*x**10))+1)))] }
-
-
-
-def A042324():
- x = SR.var('x')
- return { 'ogf': [(((26+(105*x)+(26*x**2))-x**3)/((1-(210*x**2))+x**4))] }
-
-
-
-def A042325():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**4-(210*x**2))+1)))] }
-
-
-
-def A042326():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(26*x**10))+(79*x**9))-(105*x**8))+(289*x**7))-(394*x**6)-(1471*x**5)-(394*x**4)-(289*x**3)-(105*x**2)-(79*x)-26)/((x**12-(2942*x**6))+1)))] }
-
-
-
-def A042327():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(3*x**9))+(4*x**8))-(11*x**7))+(15*x**6))-(56*x**5)-(15*x**4)-(11*x**3)-(4*x**2)-(3*x)-1)/((x**12-(2942*x**6))+1)))] }
-
-
-
-def A042332():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(26*x**14))+(79*x**13))-(974*x**12))+(1053*x**11))-(5186*x**10))+(6239*x**9))-(80054*x**8)-(246401*x**7)-(80054*x**6)-(6239*x**5)-(5186*x**4)-(1053*x**3)-(974*x**2)-(79*x)-26)/(((x**8-(702*x**4))+1)*(x**8+(702*x**4)+1))))] }
-
-
-
-def A042333():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(37*x**12))-(40*x**11))+(197*x**10))-(237*x**9))+(3041*x**8))-(9360*x**7)-(3041*x**6)-(237*x**5)-(197*x**4)-(40*x**3)-(37*x**2)-(3*x)-1)/(((x**8-(702*x**4))+1)*(x**8+(702*x**4)+1))))] }
-
-
-
-def A042336():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(26*x**14))+(53*x**13))-(79*x**12))+(290*x**11))-(2979*x**10))+(9227*x**9))-(12206*x**8)-(33639*x**7)-(12206*x**6)-(9227*x**5)-(2979*x**4)-(290*x**3)-(79*x**2)-(53*x)-26)/((x**16-(67278*x**8))+1)))] }
-
-
-
-def A042337():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(11*x**11))+(113*x**10))-(350*x**9))+(463*x**8))-(1276*x**7)-(463*x**6)-(350*x**5)-(113*x**4)-(11*x**3)-(3*x**2)-(2*x)-1)/((x**16-(67278*x**8))+1)))] }
-
-
-
-def A042338():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(26*x**14))+(53*x**13))-(79*x**12))+(132*x**11))-(211*x**10))+(343*x**9))-(554*x**8)-(1451*x**7)-(554*x**6)-(343*x**5)-(211*x**4)-(132*x**3)-(79*x**2)-(53*x)-26)/((x**16-(2902*x**8))+1)))] }
-
-
-
-def A042339():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(5*x**11))+(8*x**10))-(13*x**9))+(21*x**8))-(55*x**7)-(21*x**6)-(13*x**5)-(8*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/((x**16-(2902*x**8))+1)))] }
-
-
-
-def A042340():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5-(26*x**4))+(53*x**3)+(132*x**2)+(53*x)+26)/((x**6+(264*x**3))-1)))] }
-
-
-
-def A042341():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-(2*x**3))+(5*x**2)+(2*x)+1)/((x**6+(264*x**3))-1)))] }
-
-
-
-def A042342():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(26*x**16))+(53*x**15))-(132*x**14))+(185*x**13))-(317*x**12))+(502*x**11))-(819*x**10))+(2140*x**9)+(5099*x**8)+(2140*x**7)+(819*x**6)+(502*x**5)+(317*x**4)+(185*x**3)+(132*x**2)+(53*x)+26)/((x**18+(10198*x**9))-1)))] }
-
-
-
-def A042343():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-(2*x**15))+(5*x**14))-(7*x**13))+(12*x**12))-(19*x**11))+(31*x**10))-(81*x**9))+(193*x**8)+(81*x**7)+(31*x**6)+(19*x**5)+(12*x**4)+(7*x**3)+(5*x**2)+(2*x)+1)/((x**18+(10198*x**9))-1)))] }
-
-
-
-def A042348():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(26*x**8))+(53*x**7))-(556*x**6))+(5613*x**5)+(11782*x**4)+(5613*x**3)+(556*x**2)+(53*x)+26)/((x**10+(23564*x**5))-1)))] }
-
-
-
-def A042349():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(2*x**7))+(21*x**6))-(212*x**5))+(445*x**4)+(212*x**3)+(21*x**2)+(2*x)+1)/((x**10+(23564*x**5))-1)))] }
-
-
-
-def A042350():
- x = SR.var('x')
- return { 'ogf': [(((26+(53*x)+(26*x**2))-x**3)/((1-(106*x**2))+x**4))] }
-
-
-
-def A042351():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(106*x**2))+1)))] }
-
-
-
-def A042352():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(26*x**18))+(27*x**17))-(53*x**16))+(928*x**15))-(4693*x**14))+(5621*x**13))-(32798*x**12))+(563187*x**11))-(595985*x**10)-(1159172*x**9)-(595985*x**8)-(563187*x**7)-(32798*x**6)-(5621*x**5)-(4693*x**4)-(928*x**3)-(53*x**2)-(27*x)-26)/((x**20-(2318344*x**10))+1)))] }
-
-
-
-def A042353():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(35*x**15))+(177*x**14))-(212*x**13))+(1237*x**12))-(21241*x**11))+(22478*x**10))-(43719*x**9)-(22478*x**8)-(21241*x**7)-(1237*x**6)-(212*x**5)-(177*x**4)-(35*x**3)-(2*x**2)-x-1)/((x**20-(2318344*x**10))+1)))] }
-
-
-
-def A042354():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(26*x**14))+(27*x**13))-(53*x**12))+(398*x**11))-(5227*x**10))+(36987*x**9))-(42214*x**8)-(79201*x**7)-(42214*x**6)-(36987*x**5)-(5227*x**4)-(398*x**3)-(53*x**2)-(27*x)-26)/(((x**4-(6*x**3))+(18*x**2)+(6*x)+1)*((x**4-(20*x**2))+1)*(x**4+(20*x**2)+1)*(((x**4+(6*x**3)+(18*x**2))-(6*x))+1))))] }
-
-
-
-def A042355():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(15*x**11))+(197*x**10))-(1394*x**9))+(1591*x**8))-(2985*x**7)-(1591*x**6)-(1394*x**5)-(197*x**4)-(15*x**3)-(2*x**2)-x-1)/(((x**4-(6*x**3))+(18*x**2)+(6*x)+1)*((x**4-(20*x**2))+1)*(x**4+(20*x**2)+1)*(((x**4+(6*x**3)+(18*x**2))-(6*x))+1))))] }
-
-
-
-def A042356():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(26*x**18))+(27*x**17))-(53*x**16))+(239*x**15))-(770*x**14))+(7939*x**13))-(24587*x**12))+(106287*x**11))-(130874*x**10)-(237161*x**9)-(130874*x**8)-(106287*x**7)-(24587*x**6)-(7939*x**5)-(770*x**4)-(239*x**3)-(53*x**2)-(27*x)-26)/((x**20-(474322*x**10))+1)))] }
-
-
-
-def A042357():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(9*x**15))+(29*x**14))-(299*x**13))+(926*x**12))-(4003*x**11))+(4929*x**10))-(8932*x**9)-(4929*x**8)-(4003*x**7)-(926*x**6)-(299*x**5)-(29*x**4)-(9*x**3)-(2*x**2)-x-1)/((x**20-(474322*x**10))+1)))] }
-
-
-
-def A042358():
- x = SR.var('x')
- return { 'ogf': [(((((((((26+(27*x)+(53*x**2)+(186*x**3)+(4889*x**4)+(14853*x**5)+(19742*x**6)+(34595*x**7)+(19742*x**8))-(14853*x**9))+(4889*x**10))-(186*x**11))+(53*x**12))-(27*x**13))+(26*x**14))-x**15)/((1-(69190*x**8))+x**16))] }
-
-
-
-def A042359():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(7*x**11))+(184*x**10))-(559*x**9))+(743*x**8))-(1302*x**7)-(743*x**6)-(559*x**5)-(184*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**16-(69190*x**8))+1)))] }
-
-
-
-def A042360():
- x = SR.var('x')
- return { 'ogf': [(((((((((26+(27*x)+(53*x**2)+(133*x**3)+(452*x**4)+(1037*x**5)+(1489*x**6)+(2526*x**7)+(1489*x**8))-(1037*x**9))+(452*x**10))-(133*x**11))+(53*x**12))-(27*x**13))+(26*x**14))-x**15)/((1-(5052*x**8))+x**16))] }
-
-
-
-def A042361():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(5*x**11))+(17*x**10))-(39*x**9))+(56*x**8))-(95*x**7)-(56*x**6)-(39*x**5)-(17*x**4)-(5*x**3)-(2*x**2)-x-1)/((x**16-(5052*x**8))+1)))] }
-
-
-
-def A042362():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(26*x**22))+(27*x**21))-(53*x**20))+(80*x**19))-(133*x**18))+(612*x**17))-(2581*x**16))+(10936*x**15))-(13517*x**14))+(24453*x**13))-(37970*x**12)-(62423*x**11)-(37970*x**10)-(24453*x**9)-(13517*x**8)-(10936*x**7)-(2581*x**6)-(612*x**5)-(133*x**4)-(80*x**3)-(53*x**2)-(27*x)-26)/((x**24-(124846*x**12))+1)))] }
-
-
-
-def A042363():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(2*x**20))-(3*x**19))+(5*x**18))-(23*x**17))+(97*x**16))-(411*x**15))+(508*x**14))-(919*x**13))+(1427*x**12))-(2346*x**11)-(1427*x**10)-(919*x**9)-(508*x**8)-(411*x**7)-(97*x**6)-(23*x**5)-(5*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**24-(124846*x**12))+1)))] }
-
-
-
-def A042366():
- x = SR.var('x')
- return { 'ogf': [(((((((((26+(27*x)+(53*x**2)+(80*x**3)+(373*x**4)+(453*x**5)+(826*x**6)+(1279*x**7)+(826*x**8))-(453*x**9))+(373*x**10))-(80*x**11))+(53*x**12))-(27*x**13))+(26*x**14))-x**15)/((1-(2558*x**8))+x**16))] }
-
-
-
-def A042367():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1)*(x**8+(16*x**4)+1))/((x**16-(2558*x**8))+1)))] }
-
-
-
-def A042368():
- x = SR.var('x')
- return { 'ogf': [(((((26+(27*x)+(53*x**2)+(80*x**3)+(53*x**4))-(27*x**5))+(26*x**6))-x**7)/((1-(160*x**4))+x**8))] }
-
-
-
-def A042369():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1))/((x**8-(160*x**4))+1)))] }
-
-
-
-def A042370():
- x = SR.var('x')
- return { 'ogf': [(((((((26+(27*x)+(80*x**2)+(507*x**3)+(1094*x**4)+(1601*x**5)+(1094*x**6))-(507*x**7))+(80*x**8))-(27*x**9))+(26*x**10))-x**11)/((1-(3202*x**6))+x**12))] }
-
-
-
-def A042371():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(19*x**7))+(41*x**6))-(60*x**5)-(41*x**4)-(19*x**3)-(3*x**2)-x-1)/((x**12-(3202*x**6))+1)))] }
-
-
-
-def A042374():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(26*x**18))+(27*x**17))-(80*x**16))+(107*x**15))-(187*x**14))+(481*x**13))-(668*x**12))+(1149*x**11))-(2966*x**10)-(4115*x**9)-(2966*x**8)-(1149*x**7)-(668*x**6)-(481*x**5)-(187*x**4)-(107*x**3)-(80*x**2)-(27*x)-26)/((x**20-(8230*x**10))+1)))] }
-
-
-
-def A042375():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(3*x**16))-(4*x**15))+(7*x**14))-(18*x**13))+(25*x**12))-(43*x**11))+(111*x**10))-(154*x**9)-(111*x**8)-(43*x**7)-(25*x**6)-(18*x**5)-(7*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**20-(8230*x**10))+1)))] }
-
-
-
-def A042376():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(26*x**18))+(27*x**17))-(80*x**16))+(107*x**15))-(615*x**14))+(3182*x**13))-(16525*x**12))+(19707*x**11))-(55939*x**10)-(75646*x**9)-(55939*x**8)-(19707*x**7)-(16525*x**6)-(3182*x**5)-(615*x**4)-(107*x**3)-(80*x**2)-(27*x)-26)/((x**20-(151292*x**10))+1)))] }
-
-
-
-def A042377():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(3*x**16))-(4*x**15))+(23*x**14))-(119*x**13))+(618*x**12))-(737*x**11))+(2092*x**10))-(2829*x**9)-(2092*x**8)-(737*x**7)-(618*x**6)-(119*x**5)-(23*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**20-(151292*x**10))+1)))] }
-
-
-
-def A042381():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(4*x**20))-(9*x**19))+(112*x**18))-(121*x**17))+(2048*x**16))-(2169*x**15))+(28076*x**14))-(58321*x**13))+(203039*x**12))-(261360*x**11)-(203039*x**10)-(58321*x**9)-(28076*x**8)-(2169*x**7)-(2048*x**6)-(121*x**5)-(112*x**4)-(9*x**3)-(4*x**2)-x-1)/((x**24-(13996798*x**12))+1)))] }
-
-
-
-def A042386():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(26*x**6))+(27*x**5))-(134*x**4)-(161*x**3)-(134*x**2)-(27*x)-26)/((x**2-(4*x)-1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1))))] }
-
-
-
-def A042387():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(6*x**2)+1))/((x**2-(4*x)-1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1))))] }
-
-
-
-def A042392():
- x = SR.var('x')
- return { 'ogf': [(((((26+(27*x)+(215*x**2)+(242*x**3)+(215*x**4))-(27*x**5))+(26*x**6))-x**7)/((1-(484*x**4))+x**8))] }
-
-
-
-def A042393():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(9*x**2)+1))/((x**8-(484*x**4))+1)))] }
-
-
-
-def A042396():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(26*x**10))+(27*x**9))-(350*x**8))+(727*x**7))-(9074*x**6)-(9801*x**5)-(9074*x**4)-(727*x**3)-(350*x**2)-(27*x)-26)/((x**12-(19602*x**6))+1)))] }
-
-
-
-def A042397():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(13*x**8))-(27*x**7))+(337*x**6))-(364*x**5)-(337*x**4)-(27*x**3)-(13*x**2)-x-1)/((x**2-(5*x)-1)*((x**2+(5*x))-1)*((x**4-(5*x**3))+(26*x**2)+(5*x)+1)*(((x**4+(5*x**3)+(26*x**2))-(5*x))+1))))] }
-
-
-
-def A042398():
- x = SR.var('x')
- return { 'ogf': [(((((26+(27*x)+(458*x**2)+(485*x**3)+(458*x**4))-(27*x**5))+(26*x**6))-x**7)/((1-(970*x**4))+x**8))] }
-
-
-
-def A042399():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(18*x**2)+1))/((x**8-(970*x**4))+1)))] }
-
-
-
-def A042400():
- x = SR.var('x')
- return { 'ogf': [(((((26+(27*x)+(701*x**2)+(728*x**3)+(701*x**4))-(27*x**5))+(26*x**6))-x**7)/((1-(1456*x**4))+x**8))] }
-
-
-
-def A042401():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(27*x**2)+1))/((x**8-(1456*x**4))+1)))] }
-
-
-
-def A042402():
- x = SR.var('x')
- return { 'ogf': [(((26+(27*x)+(26*x**2))-x**3)/((1-(54*x**2))+x**4))] }
-
-
-
-def A042403():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(54*x**2))+1)))] }
-
-
-
-def A042404():
- x = SR.var('x')
- return { 'ogf': [((27+x)/(1-(54*x)-x**2))] }
-
-
-
-def A042405():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(54*x)-x**2))] }
-
-
-
-def A042406():
- x = SR.var('x')
- return { 'ogf': [(((27+(730*x)+(27*x**2))-x**3)/((1-(1460*x**2))+x**4))] }
-
-
-
-def A042407():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(27*x)-1)/((x**4-(1460*x**2))+1)))] }
-
-
-
-def A042408():
- x = SR.var('x')
- return { 'ogf': [(((27+(487*x)+(27*x**2))-x**3)/((1-(974*x**2))+x**4))] }
-
-
-
-def A042409():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(18*x)-1)/((x**4-(974*x**2))+1)))] }
-
-
-
-def A042410():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(27*x**8))+(352*x**7))-(379*x**6))+(731*x**5)+(9882*x**4)+(731*x**3)+(379*x**2)+(352*x)+27)/((x**10+(19764*x**5))-1)))] }
-
-
-
-def A042411():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(13*x**7))+(14*x**6))-(27*x**5))+(365*x**4)+(27*x**3)+(14*x**2)+(13*x)+1)/((x**10+(19764*x**5))-1)))] }
-
-
-
-def A042414():
- x = SR.var('x')
- return { 'ogf': [(((27+(244*x)+(27*x**2))-x**3)/((1-(488*x**2))+x**4))] }
-
-
-
-def A042415():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(9*x)-1)/((x**4-(488*x**2))+1)))] }
-
-
-
-def A042416():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(27*x**14))+(190*x**13))-(217*x**12))+(624*x**11))-(841*x**10))+(2306*x**9))-(3147*x**8)-(24335*x**7)-(3147*x**6)-(2306*x**5)-(841*x**4)-(624*x**3)-(217*x**2)-(190*x)-27)/((x**16-(48670*x**8))+1)))] }
-
-
-
-def A042417():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(7*x**13))+(8*x**12))-(23*x**11))+(31*x**10))-(85*x**9))+(116*x**8))-(897*x**7)-(116*x**6)-(85*x**5)-(31*x**4)-(23*x**3)-(8*x**2)-(7*x)-1)/((x**16-(48670*x**8))+1)))] }
-
-
-
-def A042420():
- x = SR.var('x')
- return { 'ogf': [(((27+(163*x)+(27*x**2))-x**3)/((1-(326*x**2))+x**4))] }
-
-
-
-def A042421():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(6*x)-1)/((x**2-(18*x)-1)*((x**2+(18*x))-1))))] }
-
-
-
-def A042424():
- x = SR.var('x')
- return { 'ogf': [(((((((27+(109*x)+(136*x**2)+(1741*x**3)+(1877*x**4)+(9249*x**5)+(1877*x**6))-(1741*x**7))+(136*x**8))-(109*x**9))+(27*x**10))-x**11)/((1-(18498*x**6))+x**12))] }
-
-
-
-def A042425():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(4*x**9))+(5*x**8))-(64*x**7))+(69*x**6))-(340*x**5)-(69*x**4)-(64*x**3)-(5*x**2)-(4*x)-1)/((x**6-(136*x**3)-1)*((x**6+(136*x**3))-1))))] }
-
-
-
-def A042426():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(27*x**18))+(109*x**17))-(136*x**16))+(245*x**15))-(3321*x**14))+(60023*x**13))-(783620*x**12))+(843643*x**11))-(1627263*x**10)-(7352695*x**9)-(1627263*x**8)-(843643*x**7)-(783620*x**6)-(60023*x**5)-(3321*x**4)-(245*x**3)-(136*x**2)-(109*x)-27)/((x**20-(14705390*x**10))+1)))] }
-
-
-
-def A042427():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(4*x**17))+(5*x**16))-(9*x**15))+(122*x**14))-(2205*x**13))+(28787*x**12))-(30992*x**11))+(59779*x**10))-(270108*x**9)-(59779*x**8)-(30992*x**7)-(28787*x**6)-(2205*x**5)-(122*x**4)-(9*x**3)-(5*x**2)-(4*x)-1)/((x**20-(14705390*x**10))+1)))] }
-
-
-
-def A042430():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(27*x**14))+(82*x**13))-(109*x**12))+(845*x**11))-(22924*x**10))+(161313*x**9))-(184237*x**8)-(714024*x**7)-(184237*x**6)-(161313*x**5)-(22924*x**4)-(845*x**3)-(109*x**2)-(82*x)-27)/((x**16-(1428048*x**8))+1)))] }
-
-
-
-def A042431():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(4*x**12))-(31*x**11))+(841*x**10))-(5918*x**9))+(6759*x**8))-(26195*x**7)-(6759*x**6)-(5918*x**5)-(841*x**4)-(31*x**3)-(4*x**2)-(3*x)-1)/((x**16-(1428048*x**8))+1)))] }
-
-
-
-def A042432():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(27*x**18))+(82*x**17))-(109*x**16))+(191*x**15))-(300*x**14))+(491*x**13))-(791*x**12))+(1282*x**11))-(2073*x**10)-(7501*x**9)-(2073*x**8)-(1282*x**7)-(791*x**6)-(491*x**5)-(300*x**4)-(191*x**3)-(109*x**2)-(82*x)-27)/((x**20-(15002*x**10))+1)))] }
-
-
-
-def A042433():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(4*x**16))-(7*x**15))+(11*x**14))-(18*x**13))+(29*x**12))-(47*x**11))+(76*x**10))-(275*x**9)-(76*x**8)-(47*x**7)-(29*x**6)-(18*x**5)-(11*x**4)-(7*x**3)-(4*x**2)-(3*x)-1)/((x**20-(15002*x**10))+1)))] }
-
-
-
-def A042438():
- x = SR.var('x')
- return { 'ogf': [(((27+(82*x)+(27*x**2))-x**3)/((1-(164*x**2))+x**4))] }
-
-
-
-def A042439():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(3*x)-1)/((x**4-(164*x**2))+1)))] }
-
-
-
-def A042448():
- x = SR.var('x')
- return { 'ogf': [(((((((((27+(55*x)+(137*x**2)+(192*x**3)+(521*x**4)+(713*x**5)+(1947*x**6)+(4607*x**7)+(1947*x**8))-(713*x**9))+(521*x**10))-(192*x**11))+(137*x**12))-(55*x**13))+(27*x**14))-x**15)/((1-(9214*x**8))+x**16))] }
-
-
-
-def A042449():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(5*x**12))-(7*x**11))+(19*x**10))-(26*x**9))+(71*x**8))-(168*x**7)-(71*x**6)-(26*x**5)-(19*x**4)-(7*x**3)-(5*x**2)-(2*x)-1)/(((x**8-(96*x**4))+1)*(x**8+(96*x**4)+1))))] }
-
-
-
-def A042452():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(27*x**16))+(55*x**15))-(302*x**14))+(357*x**13))-(659*x**12))+(1016*x**11))-(1675*x**10))+(9391*x**9)+(20457*x**8)+(9391*x**7)+(1675*x**6)+(1016*x**5)+(659*x**4)+(357*x**3)+(302*x**2)+(55*x)+27)/((x**18+(40914*x**9))-1)))] }
-
-
-
-def A042453():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-(2*x**15))+(11*x**14))-(13*x**13))+(24*x**12))-(37*x**11))+(61*x**10))-(342*x**9))+(745*x**8)+(342*x**7)+(61*x**6)+(37*x**5)+(24*x**4)+(13*x**3)+(11*x**2)+(2*x)+1)/((x**18+(40914*x**9))-1)))] }
-
-
-
-def A042454():
- x = SR.var('x')
- return { 'ogf': [(((((27+(55*x)+(577*x**2)+(1209*x**3)+(577*x**4))-(55*x**5))+(27*x**6))-x**7)/((1-(2418*x**4))+x**8))] }
-
-
-
-def A042455():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(22*x**2)+1))/((x**8-(2418*x**4))+1)))] }
-
-
-
-def A042456():
- x = SR.var('x')
- return { 'ogf': [(((27+(55*x)+(27*x**2))-x**3)/((1-(110*x**2))+x**4))] }
-
-
-
-def A042457():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(110*x**2))+1)))] }
-
-
-
-def A042458():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**21-(27*x**20))+(28*x**19))-(55*x**18))+(963*x**17))-(1018*x**16))+(6053*x**15))-(31283*x**14))+(37336*x**13))-(665995*x**12))+(703331*x**11)+(1369326*x**10)+(703331*x**9)+(665995*x**8)+(37336*x**7)+(31283*x**6)+(6053*x**5)+(1018*x**4)+(963*x**3)+(55*x**2)+(28*x)+27)/((x**22+(2738652*x**11))-1)))] }
-
-
-
-def A042459():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**20-x**19)+(2*x**18))-(35*x**17))+(37*x**16))-(220*x**15))+(1137*x**14))-(1357*x**13))+(24206*x**12))-(25563*x**11))+(49769*x**10)+(25563*x**9)+(24206*x**8)+(1357*x**7)+(1137*x**6)+(220*x**5)+(37*x**4)+(35*x**3)+(2*x**2)+x+1)/((x**22+(2738652*x**11))-1)))] }
-
-
-
-def A042462():
- x = SR.var('x')
- return { 'ogf': [(((((((27+(28*x)+(55*x**2)+(248*x**3)+(303*x**4)+(551*x**5)+(303*x**6))-(248*x**7))+(55*x**8))-(28*x**9))+(27*x**10))-x**11)/((1-(1102*x**6))+x**12))] }
-
-
-
-def A042463():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(10*x**3)-1))/((x**12-(1102*x**6))+1)))] }
-
-
-
-def A042464():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(27*x**18))+(28*x**17))-(55*x**16))+(193*x**15))-(1020*x**14))+(1213*x**13))-(7085*x**12))+(22468*x**11))-(29553*x**10)-(52021*x**9)-(29553*x**8)-(22468*x**7)-(7085*x**6)-(1213*x**5)-(1020*x**4)-(193*x**3)-(55*x**2)-(28*x)-27)/((x**20-(104042*x**10))+1)))] }
-
-
-
-def A042465():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(7*x**15))+(37*x**14))-(44*x**13))+(257*x**12))-(815*x**11))+(1072*x**10))-(1887*x**9)-(1072*x**8)-(815*x**7)-(257*x**6)-(44*x**5)-(37*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**20-(104042*x**10))+1)))] }
-
-
-
-def A042466():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**13-(27*x**12))+(28*x**11))-(55*x**10))+(138*x**9))-(331*x**8))+(469*x**7)+(800*x**6)+(469*x**5)+(331*x**4)+(138*x**3)+(55*x**2)+(28*x)+27)/((x**14+(1600*x**7))-1)))] }
-
-
-
-def A042467():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**12-x**11)+(2*x**10))-(5*x**9))+(12*x**8))-(17*x**7))+(29*x**6)+(17*x**5)+(12*x**4)+(5*x**3)+(2*x**2)+x+1)/((x**14+(1600*x**7))-1)))] }
-
-
-
-def A042468():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(27*x**18))+(28*x**17))-(55*x**16))+(83*x**15))-(138*x**14))+(1187*x**13))-(1325*x**12))+(2512*x**11))-(3837*x**10)-(6349*x**9)-(3837*x**8)-(2512*x**7)-(1325*x**6)-(1187*x**5)-(138*x**4)-(83*x**3)-(55*x**2)-(28*x)-27)/((x**20-(12698*x**10))+1)))] }
-
-
-
-def A042469():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1)*(x**10-(46*x**5)-1))/((x**20-(12698*x**10))+1)))] }
-
-
-
-def A042474():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(27*x**18))+(28*x**17))-(55*x**16))+(83*x**15))-(1134*x**14))+(6887*x**13))-(90665*x**12))+(97552*x**11))-(188217*x**10)-(285769*x**9)-(188217*x**8)-(97552*x**7)-(90665*x**6)-(6887*x**5)-(1134*x**4)-(83*x**3)-(55*x**2)-(28*x)-27)/((x**10-(756*x**5)-1)*((x**10+(756*x**5))-1))))] }
-
-
-
-def A042475():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(3*x**15))+(41*x**14))-(249*x**13))+(3278*x**12))-(3527*x**11))+(6805*x**10))-(10332*x**9)-(6805*x**8)-(3527*x**7)-(3278*x**6)-(249*x**5)-(41*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**10-(756*x**5)-1)*((x**10+(756*x**5))-1))))] }
-
-
-
-def A042478():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(27*x**22))+(28*x**21))-(83*x**20))+(277*x**19))-(360*x**18))+(637*x**17))-(997*x**16))+(1634*x**15))-(2631*x**14))+(9527*x**13))-(21685*x**12)-(31212*x**11)-(21685*x**10)-(9527*x**9)-(2631*x**8)-(1634*x**7)-(997*x**6)-(637*x**5)-(360*x**4)-(277*x**3)-(83*x**2)-(28*x)-27)/((x**24-(62424*x**12))+1)))] }
-
-
-
-def A042479():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(3*x**20))-(10*x**19))+(13*x**18))-(23*x**17))+(36*x**16))-(59*x**15))+(95*x**14))-(344*x**13))+(783*x**12))-(1127*x**11)-(783*x**10)-(344*x**9)-(95*x**8)-(59*x**7)-(36*x**6)-(23*x**5)-(13*x**4)-(10*x**3)-(3*x**2)-x-1)/((x**24-(62424*x**12))+1)))] }
-
-
-
-def A042480():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(27*x**14))+(28*x**13))-(83*x**12))+(194*x**11))-(2605*x**10))+(5404*x**9))-(13413*x**8)-(18817*x**7)-(13413*x**6)-(5404*x**5)-(2605*x**4)-(194*x**3)-(83*x**2)-(28*x)-27)/(((x**2-(4*x))+1)*(x**2+(4*x)+1)*(x**4+(14*x**2)+1)*(x**8+(194*x**4)+1))))] }
-
-
-
-def A042481():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(3*x**12))-(7*x**11))+(94*x**10))-(195*x**9))+(484*x**8))-(679*x**7)-(484*x**6)-(195*x**5)-(94*x**4)-(7*x**3)-(3*x**2)-x-1)/(((x**2-(4*x))+1)*(x**2+(4*x)+1)*(x**4+(14*x**2)+1)*(x**8+(194*x**4)+1))))] }
-
-
-
-def A042484():
- x = SR.var('x')
- return { 'ogf': [(((((27+(28*x)+(83*x**2)+(111*x**3)+(83*x**4))-(28*x**5))+(27*x**6))-x**7)/((1-(222*x**4))+x**8))] }
-
-
-
-def A042485():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(222*x**4))+1)))] }
-
-
-
-def A042490():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**21-(27*x**20))+(28*x**19))-(139*x**18))+(1835*x**17))-(1974*x**16))+(5783*x**15))-(13540*x**14))+(19323*x**13))-(264739*x**12))+(1078279*x**11)+(1343018*x**10)+(1078279*x**9)+(264739*x**8)+(19323*x**7)+(13540*x**6)+(5783*x**5)+(1974*x**4)+(1835*x**3)+(139*x**2)+(28*x)+27)/((x**22+(2686036*x**11))-1)))] }
-
-
-
-def A042491():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**20-x**19)+(5*x**18))-(66*x**17))+(71*x**16))-(208*x**15))+(487*x**14))-(695*x**13))+(9522*x**12))-(38783*x**11))+(48305*x**10)+(38783*x**9)+(9522*x**8)+(695*x**7)+(487*x**6)+(208*x**5)+(71*x**4)+(66*x**3)+(5*x**2)+x+1)/((x**22+(2686036*x**11))-1)))] }
-
-
-
-def A042492():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(27*x**18))+(28*x**17))-(139*x**16))+(167*x**15))-(306*x**14))+(779*x**13))-(1085*x**12))+(1864*x**11))-(8541*x**10)-(10405*x**9)-(8541*x**8)-(1864*x**7)-(1085*x**6)-(779*x**5)-(306*x**4)-(167*x**3)-(139*x**2)-(28*x)-27)/((x**20-(20810*x**10))+1)))] }
-
-
-
-def A042493():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(5*x**16))-(6*x**15))+(11*x**14))-(28*x**13))+(39*x**12))-(67*x**11))+(307*x**10))-(374*x**9)-(307*x**8)-(67*x**7)-(39*x**6)-(28*x**5)-(11*x**4)-(6*x**3)-(5*x**2)-x-1)/((x**20-(20810*x**10))+1)))] }
-
-
-
-def A042496():
- x = SR.var('x')
- return { 'ogf': [(((((27+(28*x)+(167*x**2)+(195*x**3)+(167*x**4))-(28*x**5))+(27*x**6))-x**7)/((1-(390*x**4))+x**8))] }
-
-
-
-def A042497():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(7*x**2)+1))/((x**8-(390*x**4))+1)))] }
-
-
-
-def A042498():
- x = SR.var('x')
- return { 'ogf': [(-((((x**7-(27*x**6))+(28*x**5))-(195*x**4)-(223*x**3)-(195*x**2)-(28*x)-27)/((x**8-(446*x**4))+1)))] }
-
-
-
-def A042499():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(8*x**2)+1))/((x**8-(446*x**4))+1)))] }
-
-
-
-def A042502():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(27*x**18))+(28*x**17))-(307*x**16))+(1563*x**15))-(3433*x**14))+(94254*x**13))-(191941*x**12))+(1053959*x**11))-(10731531*x**10)-(11785490*x**9)-(10731531*x**8)-(1053959*x**7)-(191941*x**6)-(94254*x**5)-(3433*x**4)-(1563*x**3)-(307*x**2)-(28*x)-27)/((x**20-(23570980*x**10))+1)))] }
-
-
-
-def A042503():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(11*x**16))-(56*x**15))+(123*x**14))-(3377*x**13))+(6877*x**12))-(37762*x**11))+(384497*x**10))-(422259*x**9)-(384497*x**8)-(37762*x**7)-(6877*x**6)-(3377*x**5)-(123*x**4)-(56*x**3)-(11*x**2)-x-1)/((x**20-(23570980*x**10))+1)))] }
-
-
-
-def A042504():
- x = SR.var('x')
- return { 'ogf': [(((((27+(28*x)+(363*x**2)+(391*x**3)+(363*x**4))-(28*x**5))+(27*x**6))-x**7)/((1-(782*x**4))+x**8))] }
-
-
-
-def A042505():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(14*x**2)+1))/(((x**4-(28*x**2))+1)*(x**4+(28*x**2)+1))))] }
-
-
-
-def A042508():
- x = SR.var('x')
- return { 'ogf': [(((((27+(28*x)+(755*x**2)+(783*x**3)+(755*x**4))-(28*x**5))+(27*x**6))-x**7)/((1-(1566*x**4))+x**8))] }
-
-
-
-def A042509():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(28*x**2)+1))/((x**8-(1566*x**4))+1)))] }
-
-
-
-def A042510():
- x = SR.var('x')
- return { 'ogf': [(((27+(28*x)+(27*x**2))-x**3)/((1-(56*x**2))+x**4))] }
-
-
-
-def A042511():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(56*x**2))+1)))] }
-
-
-
-def A042512():
- x = SR.var('x')
- return { 'ogf': [((28+x)/(1-(56*x)-x**2))] }
-
-
-
-def A042513():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(56*x)-x**2))] }
-
-
-
-def A042515():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(28*x)-1)/((x**4-(1570*x**2))+1)))] }
-
-
-
-def A042518():
- x = SR.var('x')
- return { 'ogf': [(((28+(393*x)+(28*x**2))-x**3)/((1-(786*x**2))+x**4))] }
-
-
-
-def A042519():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(14*x)-1)/((x**2-(28*x)-1)*((x**2+(28*x))-1))))] }
-
-
-
-def A042524():
- x = SR.var('x')
- return { 'ogf': [(((28+(225*x)+(28*x**2))-x**3)/((1-(450*x**2))+x**4))] }
-
-
-
-def A042525():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(8*x)-1)/((x**4-(450*x**2))+1)))] }
-
-
-
-def A042526():
- x = SR.var('x')
- return { 'ogf': [(((28+(197*x)+(28*x**2))-x**3)/((1-(394*x**2))+x**4))] }
-
-
-
-def A042527():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(7*x)-1)/((x**4-(394*x**2))+1)))] }
-
-
-
-def A042528():
- x = SR.var('x')
- return { 'ogf': [(((((28+(169*x)+(704*x**2)+(4393*x**3)+(704*x**4))-(169*x**5))+(28*x**6))-x**7)/((1-(8786*x**4))+x**8))] }
-
-
-
-def A042529():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(6*x)-1)*(x**4+(26*x**2)+1))/((x**8-(8786*x**4))+1)))] }
-
-
-
-def A042530():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**21-(28*x**20))+(141*x**19))-(169*x**18))+(310*x**17))-(479*x**16))+(789*x**15))-(1268*x**14))+(2057*x**13))-(3325*x**12))+(5382*x**11)+(30235*x**10)+(5382*x**9)+(3325*x**8)+(2057*x**7)+(1268*x**6)+(789*x**5)+(479*x**4)+(310*x**3)+(169*x**2)+(141*x)+28)/((x**22+(60470*x**11))-1)))] }
-
-
-
-def A042531():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((x**20-(5*x**19))+(6*x**18))-(11*x**17))+(17*x**16))-(28*x**15))+(45*x**14))-(73*x**13))+(118*x**12))-(191*x**11))+(1073*x**10)+(191*x**9)+(118*x**8)+(73*x**7)+(45*x**6)+(28*x**5)+(17*x**4)+(11*x**3)+(6*x**2)+(5*x)+1)/((x**22+(60470*x**11))-1)))] }
-
-
-
-def A042532():
- x = SR.var('x')
- return { 'ogf': [(((((28+(141*x)+(1297*x**2)+(6626*x**3)+(1297*x**4))-(141*x**5))+(28*x**6))-x**7)/((1-(13252*x**4))+x**8))] }
-
-
-
-def A042533():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(5*x)-1)*(x**4+(47*x**2)+1))/((x**8-(13252*x**4))+1)))] }
-
-
-
-def A042538():
- x = SR.var('x')
- return { 'ogf': [(((28+(113*x)+(28*x**2))-x**3)/((1-(226*x**2))+x**4))] }
-
-
-
-def A042539():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**4-(226*x**2))+1)))] }
-
-
-
-def A042540():
- x = SR.var('x')
- return { 'ogf': [(((((28+(85*x)+(113*x**2)+(424*x**3)+(113*x**4))-(85*x**5))+(28*x**6))-x**7)/((1-(848*x**4))+x**8))] }
-
-
-
-def A042541():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(5*x**2)+1))/((x**8-(848*x**4))+1)))] }
-
-
-
-def A042542():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(28*x**14))+(85*x**13))-(113*x**12))+(198*x**11))-(2687*x**10))+(2885*x**9))-(5572*x**8)-(19601*x**7)-(5572*x**6)-(2885*x**5)-(2687*x**4)-(198*x**3)-(113*x**2)-(85*x)-28)/((x**4-(14*x**2)-1)*((x**4+(14*x**2))-1)*(x**8+(198*x**4)+1))))] }
-
-
-
-def A042543():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(3*x**13))+(4*x**12))-(7*x**11))+(95*x**10))-(102*x**9))+(197*x**8))-(693*x**7)-(197*x**6)-(102*x**5)-(95*x**4)-(7*x**3)-(4*x**2)-(3*x)-1)/((x**4-(14*x**2)-1)*((x**4+(14*x**2))-1)*(x**8+(198*x**4)+1))))] }
-
-
-
-def A042548():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(28*x**10))+(57*x**9))-(85*x**8))+(2352*x**7))-(2437*x**6)-(7226*x**5)-(2437*x**4)-(2352*x**3)-(85*x**2)-(57*x)-28)/((x**12-(14452*x**6))+1)))] }
-
-
-
-def A042549():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(83*x**7))+(86*x**6))-(255*x**5)-(86*x**4)-(83*x**3)-(3*x**2)-(2*x)-1)/((x**12-(14452*x**6))+1)))] }
-
-
-
-def A042550():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(28*x**18))+(57*x**17))-(85*x**16))+(397*x**15))-(879*x**14))+(16219*x**13))-(33317*x**12))+(149487*x**11))-(182804*x**10)-(515095*x**9)-(182804*x**8)-(149487*x**7)-(33317*x**6)-(16219*x**5)-(879*x**4)-(397*x**3)-(85*x**2)-(57*x)-28)/((x**20-(1030190*x**10))+1)))] }
-
-
-
-def A042551():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(14*x**15))+(31*x**14))-(572*x**13))+(1175*x**12))-(5272*x**11))+(6447*x**10))-(18166*x**9)-(6447*x**8)-(5272*x**7)-(1175*x**6)-(572*x**5)-(31*x**4)-(14*x**3)-(3*x**2)-(2*x)-1)/((x**20-(1030190*x**10))+1)))] }
-
-
-
-def A042562():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(28*x**14))+(57*x**13))-(313*x**12))+(370*x**11))-(1793*x**10))+(2163*x**9))-(12608*x**8)-(27379*x**7)-(12608*x**6)-(2163*x**5)-(1793*x**4)-(370*x**3)-(313*x**2)-(57*x)-28)/((x**8-(234*x**4)-1)*((x**8+(234*x**4))-1))))] }
-
-
-
-def A042563():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(11*x**12))-(13*x**11))+(63*x**10))-(76*x**9))+(443*x**8))-(962*x**7)-(443*x**6)-(76*x**5)-(63*x**4)-(13*x**3)-(11*x**2)-(2*x)-1)/((x**8-(234*x**4)-1)*((x**8+(234*x**4))-1))))] }
-
-
-
-def A042566():
- x = SR.var('x')
- return { 'ogf': [(((28+(57*x)+(28*x**2))-x**3)/((1-(114*x**2))+x**4))] }
-
-
-
-def A042567():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(114*x**2))+1)))] }
-
-
-
-def A042568():
- x = SR.var('x')
- return { 'ogf': [(((((((28+(29*x)+(57*x**2)+(1055*x**3)+(1112*x**4)+(2167*x**5)+(1112*x**6))-(1055*x**7))+(57*x**8))-(29*x**9))+(28*x**10))-x**11)/((1-(4334*x**6))+x**12))] }
-
-
-
-def A042569():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(38*x**3)-1))/((x**12-(4334*x**6))+1)))] }
-
-
-
-def A042572():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(28*x**22))+(29*x**21))-(57*x**20))+(257*x**19))-(314*x**18))+(885*x**17))-(4739*x**16))+(10363*x**15))-(15102*x**14))+(70771*x**13))-(85873*x**12)-(156644*x**11)-(85873*x**10)-(70771*x**9)-(15102*x**8)-(10363*x**7)-(4739*x**6)-(885*x**5)-(314*x**4)-(257*x**3)-(57*x**2)-(29*x)-28)/((x**24-(313288*x**12))+1)))] }
-
-
-
-def A042573():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(2*x**20))-(9*x**19))+(11*x**18))-(31*x**17))+(166*x**16))-(363*x**15))+(529*x**14))-(2479*x**13))+(3008*x**12))-(5487*x**11)-(3008*x**10)-(2479*x**9)-(529*x**8)-(363*x**7)-(166*x**6)-(31*x**5)-(11*x**4)-(9*x**3)-(2*x**2)-x-1)/((x**24-(313288*x**12))+1)))] }
-
-
-
-def A042574():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(28*x**14))+(29*x**13))-(57*x**12))+(200*x**11))-(657*x**10))+(2171*x**9))-(2828*x**8)-(4999*x**7)-(2828*x**6)-(2171*x**5)-(657*x**4)-(200*x**3)-(57*x**2)-(29*x)-28)/(((x**8-(100*x**4))+1)*(x**8+(100*x**4)+1))))] }
-
-
-
-def A042575():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(7*x**11))+(23*x**10))-(76*x**9))+(99*x**8))-(175*x**7)-(99*x**6)-(76*x**5)-(23*x**4)-(7*x**3)-(2*x**2)-x-1)/(((x**8-(100*x**4))+1)*(x**8+(100*x**4)+1))))] }
-
-
-
-def A042576():
- x = SR.var('x')
- return { 'ogf': [(((((((28+(29*x)+(57*x**2)+(143*x**3)+(200*x**4)+(343*x**5)+(200*x**6))-(143*x**7))+(57*x**8))-(29*x**9))+(28*x**10))-x**11)/((1-(686*x**6))+x**12))] }
-
-
-
-def A042577():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(6*x**3)-1))/((x**12-(686*x**6))+1)))] }
-
-
-
-def A042578():
- x = SR.var('x')
- return { 'ogf': [((((((28+(29*x)+(57*x**2)+(86*x**3)+(143*x**4)+(86*x**5))-(57*x**6))+(29*x**7))-(28*x**8))+x**9)/(1-(286*x**5)-x**10))] }
-
-
-
-def A042579():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1))/((x**10+(286*x**5))-1)))] }
-
-
-
-def A042580():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(28*x**18))+(29*x**17))-(57*x**16))+(86*x**15))-(143*x**14))+(229*x**13))-(372*x**12))+(601*x**11))-(973*x**10)-(1574*x**9)-(973*x**8)-(601*x**7)-(372*x**6)-(229*x**5)-(143*x**4)-(86*x**3)-(57*x**2)-(29*x)-28)/((x**20-(3148*x**10))+1)))] }
-
-
-
-def A042581():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*((((x**4-(3*x**3))+(4*x**2))-(2*x))+1)*((((x**4-(2*x**3))+(4*x**2))-(3*x))+1)*(x**4+(2*x**3)+(4*x**2)+(3*x)+1)*(x**4+(3*x**3)+(4*x**2)+(2*x)+1))/((x**20-(3148*x**10))+1)))] }
-
-
-
-def A042582():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(28*x**22))+(29*x**21))-(57*x**20))+(86*x**19))-(229*x**18))+(315*x**17))-(3379*x**16))+(3694*x**15))-(10767*x**14))+(14461*x**13))-(25228*x**12)-(39689*x**11)-(25228*x**10)-(14461*x**9)-(10767*x**8)-(3694*x**7)-(3379*x**6)-(315*x**5)-(229*x**4)-(86*x**3)-(57*x**2)-(29*x)-28)/(((x**8-(43*x**4))+1)*(x**16+(43*x**12)+(1848*x**8)+(43*x**4)+1))))] }
-
-
-
-def A042583():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**20+(3*x**18)+(11*x**16)+(129*x**14)+(505*x**12)+(1386*x**10)+(505*x**8)+(129*x**6)+(11*x**4)+(3*x**2)+1))/(((x**8-(43*x**4))+1)*(x**16+(43*x**12)+(1848*x**8)+(43*x**4)+1))))] }
-
-
-
-def A042586():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(28*x**10))+(29*x**9))-(86*x**8))+(2437*x**7))-(4960*x**6)-(7397*x**5)-(4960*x**4)-(2437*x**3)-(86*x**2)-(29*x)-28)/((x**12-(14794*x**6))+1)))] }
-
-
-
-def A042587():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(85*x**7))+(173*x**6))-(258*x**5)-(173*x**4)-(85*x**3)-(3*x**2)-x-1)/((x**12-(14794*x**6))+1)))] }
-
-
-
-def A042590():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(28*x**22))+(29*x**21))-(86*x**20))+(201*x**19))-(287*x**18))+(488*x**17))-(3215*x**16))+(3703*x**15))-(6918*x**14))+(17539*x**13))-(41996*x**12)-(59535*x**11)-(41996*x**10)-(17539*x**9)-(6918*x**8)-(3703*x**7)-(3215*x**6)-(488*x**5)-(287*x**4)-(201*x**3)-(86*x**2)-(29*x)-28)/((x**24-(119070*x**12))+1)))] }
-
-
-
-def A042591():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(3*x**20))-(7*x**19))+(10*x**18))-(17*x**17))+(112*x**16))-(129*x**15))+(241*x**14))-(611*x**13))+(1463*x**12))-(2074*x**11)-(1463*x**10)-(611*x**9)-(241*x**8)-(129*x**7)-(112*x**6)-(17*x**5)-(10*x**4)-(7*x**3)-(3*x**2)-x-1)/((x**24-(119070*x**12))+1)))] }
-
-
-
-def A042592():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**27-(28*x**26))+(29*x**25))-(86*x**24))+(115*x**23))-(201*x**22))+(316*x**21))-(517*x**20))+(2384*x**19))-(2901*x**18))+(5285*x**17))-(8186*x**16))+(13471*x**15))-(35128*x**14)-(48599*x**13)-(35128*x**12)-(13471*x**11)-(8186*x**10)-(5285*x**9)-(2901*x**8)-(2384*x**7)-(517*x**6)-(316*x**5)-(201*x**4)-(115*x**3)-(86*x**2)-(29*x)-28)/((x**28-(97198*x**14))+1)))] }
-
-
-
-def A042593():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(3*x**24))-(4*x**23))+(7*x**22))-(11*x**21))+(18*x**20))-(83*x**19))+(101*x**18))-(184*x**17))+(285*x**16))-(469*x**15))+(1223*x**14))-(1692*x**13)-(1223*x**12)-(469*x**11)-(285*x**10)-(184*x**9)-(101*x**8)-(83*x**7)-(18*x**6)-(11*x**5)-(7*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**28-(97198*x**14))+1)))] }
-
-
-
-def A042596():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(28*x**18))+(29*x**17))-(115*x**16))+(834*x**15))-(949*x**14))+(26457*x**13))-(27406*x**12))+(218299*x**11))-(682303*x**10)-(900602*x**9)-(682303*x**8)-(218299*x**7)-(27406*x**6)-(26457*x**5)-(949*x**4)-(834*x**3)-(115*x**2)-(29*x)-28)/((x**20-(1801204*x**10))+1)))] }
-
-
-
-def A042597():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(4*x**16))-(29*x**15))+(33*x**14))-(920*x**13))+(953*x**12))-(7591*x**11))+(23726*x**10))-(31317*x**9)-(23726*x**8)-(7591*x**7)-(953*x**6)-(920*x**5)-(33*x**4)-(29*x**3)-(4*x**2)-x-1)/((x**20-(1801204*x**10))+1)))] }
-
-
-
-def A042598():
- x = SR.var('x')
- return { 'ogf': [(((((((28+(29*x)+(115*x**2)+(259*x**3)+(892*x**4)+(1151*x**5)+(892*x**6))-(259*x**7))+(115*x**8))-(29*x**9))+(28*x**10))-x**11)/((1-(2302*x**6))+x**12))] }
-
-
-
-def A042599():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(4*x**8))-(9*x**7))+(31*x**6))-(40*x**5)-(31*x**4)-(9*x**3)-(4*x**2)-x-1)/(((x**6-(48*x**3))+1)*(x**6+(48*x**3)+1))))] }
-
-
-
-def A042602():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(28*x**18))+(29*x**17))-(144*x**16))+(461*x**15))-(605*x**14))+(6511*x**13))-(7116*x**12))+(27859*x**11))-(118552*x**10)-(146411*x**9)-(118552*x**8)-(27859*x**7)-(7116*x**6)-(6511*x**5)-(605*x**4)-(461*x**3)-(144*x**2)-(29*x)-28)/((x**20-(292822*x**10))+1)))] }
-
-
-
-def A042603():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(5*x**16))-(16*x**15))+(21*x**14))-(226*x**13))+(247*x**12))-(967*x**11))+(4115*x**10))-(5082*x**9)-(4115*x**8)-(967*x**7)-(247*x**6)-(226*x**5)-(21*x**4)-(16*x**3)-(5*x**2)-x-1)/((x**20-(292822*x**10))+1)))] }
-
-
-
-def A042606():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(28*x**22))+(29*x**21))-(173*x**20))+(375*x**19))-(923*x**18))+(1298*x**17))-(17797*x**16))+(19095*x**15))-(55987*x**14))+(131069*x**13))-(711332*x**12)-(842401*x**11)-(711332*x**10)-(131069*x**9)-(55987*x**8)-(19095*x**7)-(17797*x**6)-(1298*x**5)-(923*x**4)-(375*x**3)-(173*x**2)-(29*x)-28)/((x**2-(3*x)-1)*((x**2+(3*x))-1)*((x**4-(3*x**3))+(10*x**2)+(3*x)+1)*(x**4+(11*x**2)+1)*(((x**4+(3*x**3)+(10*x**2))-(3*x))+1)*((((x**8-(11*x**6))+(120*x**4))-(11*x**2))+1))))] }
-
-
-
-def A042607():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(6*x**20))-(13*x**19))+(32*x**18))-(45*x**17))+(617*x**16))-(662*x**15))+(1941*x**14))-(4544*x**13))+(24661*x**12))-(29205*x**11)-(24661*x**10)-(4544*x**9)-(1941*x**8)-(662*x**7)-(617*x**6)-(45*x**5)-(32*x**4)-(13*x**3)-(6*x**2)-x-1)/((x**2-(3*x)-1)*((x**2+(3*x))-1)*((x**4-(3*x**3))+(10*x**2)+(3*x)+1)*(x**4+(11*x**2)+1)*(((x**4+(3*x**3)+(10*x**2))-(3*x))+1)*((((x**8-(11*x**6))+(120*x**4))-(11*x**2))+1))))] }
-
-
-
-def A042614():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(28*x**18))+(29*x**17))-(318*x**16))+(347*x**15))-(665*x**14))+(1677*x**13))-(2342*x**12))+(4019*x**11))-(42532*x**10)-(46551*x**9)-(42532*x**8)-(4019*x**7)-(2342*x**6)-(1677*x**5)-(665*x**4)-(347*x**3)-(318*x**2)-(29*x)-28)/((x**20-(93102*x**10))+1)))] }
-
-
-
-def A042615():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(11*x**16))-(12*x**15))+(23*x**14))-(58*x**13))+(81*x**12))-(139*x**11))+(1471*x**10))-(1610*x**9)-(1471*x**8)-(139*x**7)-(81*x**6)-(58*x**5)-(23*x**4)-(12*x**3)-(11*x**2)-x-1)/((x**20-(93102*x**10))+1)))] }
-
-
-
-def A042616():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(28*x**10))+(29*x**9))-(405*x**8))+(839*x**7))-(11312*x**6)-(12151*x**5)-(11312*x**4)-(839*x**3)-(405*x**2)-(29*x)-28)/(((x**4-(29*x**2))+1)*(x**8+(29*x**6)+(840*x**4)+(29*x**2)+1))))] }
-
-
-
-def A042617():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(14*x**8))-(29*x**7))+(391*x**6))-(420*x**5)-(391*x**4)-(29*x**3)-(14*x**2)-x-1)/(((x**4-(29*x**2))+1)*(x**8+(29*x**6)+(840*x**4)+(29*x**2)+1))))] }
-
-
-
-def A042621():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(29*x**2)+1))/((x**8-(1680*x**4))+1)))] }
-
-
-
-def A042622():
- x = SR.var('x')
- return { 'ogf': [(((28+(29*x)+(28*x**2))-x**3)/((1-(58*x**2))+x**4))] }
-
-
-
-def A042623():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(58*x**2))+1)))] }
-
-
-
-def A042624():
- x = SR.var('x')
- return { 'ogf': [((29+x)/(1-(58*x)-x**2))] }
-
-
-
-def A042625():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(58*x)-x**2))] }
-
-
-
-def A042626():
- x = SR.var('x')
- return { 'ogf': [(((29+(842*x)+(29*x**2))-x**3)/((1-(1684*x**2))+x**4))] }
-
-
-
-def A042627():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(29*x)-1)/((x**4-(1684*x**2))+1)))] }
-
-
-
-def A042630():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(29*x**8))+(407*x**7))-(436*x**6))+(843*x**5)+(12238*x**4)+(843*x**3)+(436*x**2)+(407*x)+29)/((x**10+(24476*x**5))-1)))] }
-
-
-
-def A042631():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(14*x**7))+(15*x**6))-(29*x**5))+(421*x**4)+(29*x**3)+(15*x**2)+(14*x)+1)/((x**10+(24476*x**5))-1)))] }
-
-
-
-def A042634():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(29*x**18))+(262*x**17))-(291*x**16))+(844*x**15))-(5355*x**14))+(43684*x**13))-(267459*x**12))+(578602*x**11))-(846061*x**10)-(8193151*x**9)-(846061*x**8)-(578602*x**7)-(267459*x**6)-(43684*x**5)-(5355*x**4)-(844*x**3)-(291*x**2)-(262*x)-29)/(((x**10-(4048*x**5))+1)*(x**10+(4048*x**5)+1))))] }
-
-
-
-def A042635():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(9*x**17))+(10*x**16))-(29*x**15))+(184*x**14))-(1501*x**13))+(9190*x**12))-(19881*x**11))+(29071*x**10))-(281520*x**9)-(29071*x**8)-(19881*x**7)-(9190*x**6)-(1501*x**5)-(184*x**4)-(29*x**3)-(10*x**2)-(9*x)-1)/(((x**10-(4048*x**5))+1)*(x**10+(4048*x**5)+1))))] }
-
-
-
-def A042636():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(29*x**10))+(233*x**9))-(728*x**8))+(2417*x**7))-(7979*x**6)-(66249*x**5)-(7979*x**4)-(2417*x**3)-(728*x**2)-(233*x)-29)/((x**2-(7*x)-1)*((x**2+(7*x))-1)*((x**4-(7*x**3))+(50*x**2)+(7*x)+1)*(((x**4+(7*x**3)+(50*x**2))-(7*x))+1))))] }
-
-
-
-def A042637():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(8*x**9))+(25*x**8))-(83*x**7))+(274*x**6))-(2275*x**5)-(274*x**4)-(83*x**3)-(25*x**2)-(8*x)-1)/((x**2-(7*x)-1)*((x**2+(7*x))-1)*((x**4-(7*x**3))+(50*x**2)+(7*x)+1)*(((x**4+(7*x**3)+(50*x**2))-(7*x))+1))))] }
-
-
-
-def A042640():
- x = SR.var('x')
- return { 'ogf': [(((((29+(175*x)+(379*x**2)+(2449*x**3)+(379*x**4))-(175*x**5))+(29*x**6))-x**7)/((1-(4898*x**4))+x**8))] }
-
-
-
-def A042641():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(6*x)-1)*(x**4+(14*x**2)+1))/(((x**4-(70*x**2))+1)*(x**4+(70*x**2)+1))))] }
-
-
-
-def A042644():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(29*x**14))+(146*x**13))-(467*x**12))+(1080*x**11))-(4787*x**10))+(10654*x**9))-(36749*x**8)-(194399*x**7)-(36749*x**6)-(10654*x**5)-(4787*x**4)-(1080*x**3)-(467*x**2)-(146*x)-29)/((x**16-(388798*x**8))+1)))] }
-
-
-
-def A042645():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(5*x**13))+(16*x**12))-(37*x**11))+(164*x**10))-(365*x**9))+(1259*x**8))-(6660*x**7)-(1259*x**6)-(365*x**5)-(164*x**4)-(37*x**3)-(16*x**2)-(5*x)-1)/((x**16-(388798*x**8))+1)))] }
-
-
-
-def A042648():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(29*x**14))+(117*x**13))-(263*x**12))+(3010*x**11))-(12303*x**10))+(138343*x**9))-(288989*x**8)-(1294299*x**7)-(288989*x**6)-(138343*x**5)-(12303*x**4)-(3010*x**3)-(263*x**2)-(117*x)-29)/((x**16-(2588598*x**8))+1)))] }
-
-
-
-def A042649():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(4*x**13))+(9*x**12))-(103*x**11))+(421*x**10))-(4734*x**9))+(9889*x**8))-(44290*x**7)-(9889*x**6)-(4734*x**5)-(421*x**4)-(103*x**3)-(9*x**2)-(4*x)-1)/((x**16-(2588598*x**8))+1)))] }
-
-
-
-def A042650():
- x = SR.var('x')
- return { 'ogf': [(((((29+(117*x)+(731*x**2)+(3041*x**3)+(731*x**4))-(117*x**5))+(29*x**6))-x**7)/((1-(6082*x**4))+x**8))] }
-
-
-
-def A042651():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(4*x)-1)*(x**4+(26*x**2)+1))/(((x**4-(78*x**2))+1)*(x**4+(78*x**2)+1))))] }
-
-
-
-def A042656():
- x = SR.var('x')
- return { 'ogf': [(((((29+(88*x)+(205*x**2)+(703*x**3)+(205*x**4))-(88*x**5))+(29*x**6))-x**7)/((1-(1406*x**4))+x**8))] }
-
-
-
-def A042657():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(8*x**2)+1))/((x**8-(1406*x**4))+1)))] }
-
-
-
-def A042660():
- x = SR.var('x')
- return { 'ogf': [(((((29+(88*x)+(1261*x**2)+(3871*x**3)+(1261*x**4))-(88*x**5))+(29*x**6))-x**7)/((1-(7742*x**4))+x**8))] }
-
-
-
-def A042661():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(3*x)-1)*(x**4+(44*x**2)+1))/(((x**4-(88*x**2))+1)*(x**4+(88*x**2)+1))))] }
-
-
-
-def A042668():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(29*x**22))+(59*x**21))-(88*x**20))+(147*x**19))-(823*x**18))+(970*x**17))-(13433*x**16))+(14403*x**15))-(85448*x**14))+(99851*x**13))-(185299*x**12)-(470449*x**11)-(185299*x**10)-(99851*x**9)-(85448*x**8)-(14403*x**7)-(13433*x**6)-(970*x**5)-(823*x**4)-(147*x**3)-(88*x**2)-(59*x)-29)/(((((x**4-(6*x**3))+(13*x**2))-(6*x))+1)*((x**4-(10*x**2))+1)*(x**4+(10*x**2)+1)*(x**4+(6*x**3)+(13*x**2)+(6*x)+1)*(x**8+(10*x**6)+(99*x**4)+(10*x**2)+1))))] }
-
-
-
-def A042669():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-(2*x**21))+(3*x**20))-(5*x**19))+(28*x**18))-(33*x**17))+(457*x**16))-(490*x**15))+(2907*x**14))-(3397*x**13))+(6304*x**12))-(16005*x**11)-(6304*x**10)-(3397*x**9)-(2907*x**8)-(490*x**7)-(457*x**6)-(33*x**5)-(28*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/(((((x**4-(6*x**3))+(13*x**2))-(6*x))+1)*((x**4-(10*x**2))+1)*(x**4+(10*x**2)+1)*(x**4+(6*x**3)+(13*x**2)+(6*x)+1)*(x**8+(10*x**6)+(99*x**4)+(10*x**2)+1))))] }
-
-
-
-def A042672():
- x = SR.var('x')
- return { 'ogf': [(((((((((29+(59*x)+(147*x**2)+(206*x**3)+(5915*x**4)+(6121*x**5)+(18157*x**6)+(42435*x**7)+(18157*x**8))-(6121*x**9))+(5915*x**10))-(206*x**11))+(147*x**12))-(59*x**13))+(29*x**14))-x**15)/((1-(84870*x**8))+x**16))] }
-
-
-
-def A042673():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(5*x**12))-(7*x**11))+(201*x**10))-(208*x**9))+(617*x**8))-(1442*x**7)-(617*x**6)-(208*x**5)-(201*x**4)-(7*x**3)-(5*x**2)-(2*x)-1)/((x**16-(84870*x**8))+1)))] }
-
-
-
-def A042674():
- x = SR.var('x')
- return { 'ogf': [(((((((29+(59*x)+(265*x**2)+(7744*x**3)+(31241*x**4)+(70226*x**5)+(31241*x**6))-(7744*x**7))+(265*x**8))-(59*x**9))+(29*x**10))-x**11)/((1-(140452*x**6))+x**12))] }
-
-
-
-def A042675():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(9*x**8))-(263*x**7))+(1061*x**6))-(2385*x**5)-(1061*x**4)-(263*x**3)-(9*x**2)-(2*x)-1)/(((x**4-(52*x**2))+1)*(x**8+(52*x**6)+(2703*x**4)+(52*x**2)+1))))] }
-
-
-
-def A042676():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(29*x**14))+(59*x**13))-(383*x**12))+(7336*x**11))-(15055*x**10))+(293381*x**9))-(1775341*x**8)-(3844063*x**7)-(1775341*x**6)-(293381*x**5)-(15055*x**4)-(7336*x**3)-(383*x**2)-(59*x)-29)/((x**16-(7688126*x**8))+1)))] }
-
-
-
-def A042677():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(13*x**12))-(249*x**11))+(511*x**10))-(9958*x**9))+(60259*x**8))-(130476*x**7)-(60259*x**6)-(9958*x**5)-(511*x**4)-(249*x**3)-(13*x**2)-(2*x)-1)/((x**16-(7688126*x**8))+1)))] }
-
-
-
-def A042680():
- x = SR.var('x')
- return { 'ogf': [(((29+(59*x)+(29*x**2))-x**3)/((1-(118*x**2))+x**4))] }
-
-
-
-def A042684():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(29*x**18))+(30*x**17))-(59*x**16))+(443*x**15))-(502*x**14))+(6969*x**13))-(7471*x**12))+(59266*x**11))-(66737*x**10)-(126003*x**9)-(66737*x**8)-(59266*x**7)-(7471*x**6)-(6969*x**5)-(502*x**4)-(443*x**3)-(59*x**2)-(30*x)-29)/((x**10-(502*x**5)-1)*((x**10+(502*x**5))-1))))] }
-
-
-
-def A042685():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(15*x**15))+(17*x**14))-(236*x**13))+(253*x**12))-(2007*x**11))+(2260*x**10))-(4267*x**9)-(2260*x**8)-(2007*x**7)-(253*x**6)-(236*x**5)-(17*x**4)-(15*x**3)-(2*x**2)-x-1)/((x**10-(502*x**5)-1)*((x**10+(502*x**5))-1))))] }
-
-
-
-def A042688():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(29*x**14))+(30*x**13))-(59*x**12))+(207*x**11))-(473*x**10))+(1626*x**9))-(2099*x**8)-(3725*x**7)-(2099*x**6)-(1626*x**5)-(473*x**4)-(207*x**3)-(59*x**2)-(30*x)-29)/((x**16-(7450*x**8))+1)))] }
-
-
-
-def A042689():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(7*x**11))+(16*x**10))-(55*x**9))+(71*x**8))-(126*x**7)-(71*x**6)-(55*x**5)-(16*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**16-(7450*x**8))+1)))] }
-
-
-
-def A042692():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(29*x**14))+(30*x**13))-(59*x**12))+(148*x**11))-(2131*x**10))+(4410*x**9))-(6541*x**8)-(10951*x**7)-(6541*x**6)-(4410*x**5)-(2131*x**4)-(148*x**3)-(59*x**2)-(30*x)-29)/(((x**8-(148*x**4))+1)*(x**8+(148*x**4)+1))))] }
-
-
-
-def A042693():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(5*x**11))+(72*x**10))-(149*x**9))+(221*x**8))-(370*x**7)-(221*x**6)-(149*x**5)-(72*x**4)-(5*x**3)-(2*x**2)-x-1)/(((x**8-(148*x**4))+1)*(x**8+(148*x**4)+1))))] }
-
-
-
-def A042700():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(59*x**2)+(89*x**3)+(59*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(178*x**4))+x**8))] }
-
-
-
-def A042701():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1))/((x**8-(178*x**4))+1)))] }
-
-
-
-def A042704():
- x = SR.var('x')
- return { 'ogf': [(((((((((29+(30*x)+(89*x**2)+(297*x**3)+(1871*x**4)+(5910*x**5)+(13691*x**6)+(19601*x**7)+(13691*x**8))-(5910*x**9))+(1871*x**10))-(297*x**11))+(89*x**12))-(30*x**13))+(29*x**14))-x**15)/((1-(39202*x**8))+x**16))] }
-
-
-
-def A042705():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(3*x**12))-(10*x**11))+(63*x**10))-(199*x**9))+(461*x**8))-(660*x**7)-(461*x**6)-(199*x**5)-(63*x**4)-(10*x**3)-(3*x**2)-x-1)/((x**4-(14*x**2)-1)*((x**4+(14*x**2))-1)*(x**8+(198*x**4)+1))))] }
-
-
-
-def A042708():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(29*x**14))+(30*x**13))-(89*x**12))+(119*x**11))-(327*x**10))+(446*x**9))-(1219*x**8)-(1665*x**7)-(1219*x**6)-(446*x**5)-(327*x**4)-(119*x**3)-(89*x**2)-(30*x)-29)/((x**16-(3330*x**8))+1)))] }
-
-
-
-def A042709():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*((x**4-(2*x**3))+(2*x**2)+(2*x)+1)*(x**4+(4*x**2)+1)*(((x**4+(2*x**3)+(2*x**2))-(2*x))+1))/((x**16-(3330*x**8))+1)))] }
-
-
-
-def A042710():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(89*x**2)+(119*x**3)+(89*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(238*x**4))+x**8))] }
-
-
-
-def A042711():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(4*x**2)+1))/((x**8-(238*x**4))+1)))] }
-
-
-
-def A042714():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**23-(29*x**22))+(30*x**21))-(119*x**20))+(149*x**19))-(268*x**18))+(685*x**17))-(20133*x**16))+(40951*x**15))-(61084*x**14))+(102035*x**13))-(367189*x**12)-(469224*x**11)-(367189*x**10)-(102035*x**9)-(61084*x**8)-(40951*x**7)-(20133*x**6)-(685*x**5)-(268*x**4)-(149*x**3)-(119*x**2)-(30*x)-29)/((x**24-(938448*x**12))+1)))] }
-
-
-
-def A042715():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**22-x**21)+(4*x**20))-(5*x**19))+(9*x**18))-(23*x**17))+(676*x**16))-(1375*x**15))+(2051*x**14))-(3426*x**13))+(12329*x**12))-(15755*x**11)-(12329*x**10)-(3426*x**9)-(2051*x**8)-(1375*x**7)-(676*x**6)-(23*x**5)-(9*x**4)-(5*x**3)-(4*x**2)-x-1)/((x**24-(938448*x**12))+1)))] }
-
-
-
-def A042716():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(119*x**2)+(149*x**3)+(119*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(298*x**4))+x**8))] }
-
-
-
-def A042717():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(5*x**2)+1))/((x**8-(298*x**4))+1)))] }
-
-
-
-def A042720():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(149*x**2)+(179*x**3)+(149*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(358*x**4))+x**8))] }
-
-
-
-def A042721():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(6*x**2)+1))/((x**8-(358*x**4))+1)))] }
-
-
-
-def A042722():
- x = SR.var('x')
- return { 'ogf': [(((((((((29+(30*x)+(179*x**2)+(209*x**3)+(388*x**4)+(597*x**5)+(3373*x**6)+(3970*x**7)+(3373*x**8))-(597*x**9))+(388*x**10))-(209*x**11))+(179*x**12))-(30*x**13))+(29*x**14))-x**15)/((1-(7940*x**8))+x**16))] }
-
-
-
-def A042723():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(7*x**2)+1)*(x**8+(19*x**4)+1))/((x**16-(7940*x**8))+1)))] }
-
-
-
-def A042724():
- x = SR.var('x')
- return { 'ogf': [(((((((((29+(30*x)+(209*x**2)+(448*x**3)+(6481*x**4)+(13410*x**5)+(86941*x**6)+(100351*x**7)+(86941*x**8))-(13410*x**9))+(6481*x**10))-(448*x**11))+(209*x**12))-(30*x**13))+(29*x**14))-x**15)/((1-(200702*x**8))+x**16))] }
-
-
-
-def A042725():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(7*x**12))-(15*x**11))+(217*x**10))-(449*x**9))+(2911*x**8))-(3360*x**7)-(2911*x**6)-(449*x**5)-(217*x**4)-(15*x**3)-(7*x**2)-x-1)/(((x**8-(448*x**4))+1)*(x**8+(448*x**4)+1))))] }
-
-
-
-def A042728():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(269*x**2)+(299*x**3)+(269*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(598*x**4))+x**8))] }
-
-
-
-def A042729():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(10*x**2)+1))/((x**8-(598*x**4))+1)))] }
-
-
-
-def A042730():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(329*x**2)+(359*x**3)+(329*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(718*x**4))+x**8))] }
-
-
-
-def A042731():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(12*x**2)+1))/((x**8-(718*x**4))+1)))] }
-
-
-
-def A042732():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(419*x**2)+(449*x**3)+(419*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(898*x**4))+x**8))] }
-
-
-
-def A042733():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(15*x**2)+1))/(((x**4-(30*x**2))+1)*(x**4+(30*x**2)+1))))] }
-
-
-
-def A042734():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(569*x**2)+(599*x**3)+(569*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(1198*x**4))+x**8))] }
-
-
-
-def A042735():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(20*x**2)+1))/((x**8-(1198*x**4))+1)))] }
-
-
-
-def A042736():
- x = SR.var('x')
- return { 'ogf': [(((((29+(30*x)+(869*x**2)+(899*x**3)+(869*x**4))-(30*x**5))+(29*x**6))-x**7)/((1-(1798*x**4))+x**8))] }
-
-
-
-def A042737():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(30*x**2)+1))/((x**8-(1798*x**4))+1)))] }
-
-
-
-def A042738():
- x = SR.var('x')
- return { 'ogf': [(((29+(30*x)+(29*x**2))-x**3)/((1-(60*x**2))+x**4))] }
-
-
-
-def A042739():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-(60*x**2))+1)))] }
-
-
-
-def A042740():
- x = SR.var('x')
- return { 'ogf': [((30+x)/(1-(60*x)-x**2))] }
-
-
-
-def A042741():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(60*x)-x**2))] }
-
-
-
-def A042742():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(30*x**2)-(901*x)-30)/((x**4-(1802*x**2))+1)))] }
-
-
-
-def A042743():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(30*x)-1)/((x**4-(1802*x**2))+1)))] }
-
-
-
-def A042744():
- x = SR.var('x')
- return { 'ogf': [(((30+(601*x)+(30*x**2))-x**3)/((1-(1202*x**2))+x**4))] }
-
-
-
-def A042745():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(20*x)-1)/((x**4-(1202*x**2))+1)))] }
-
-
-
-def A042746():
- x = SR.var('x')
- return { 'ogf': [(-((x**3-(30*x**2)-(451*x)-30)/((x**2-(30*x)-1)*((x**2+(30*x))-1))))] }
-
-
-
-def A042747():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(15*x)-1)/((x**2-(30*x)-1)*((x**2+(30*x))-1))))] }
-
-
-
-def A042748():
- x = SR.var('x')
- return { 'ogf': [(((30+(361*x)+(30*x**2))-x**3)/((1-(722*x**2))+x**4))] }
-
-
-
-def A042749():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(12*x)-1)/((x**4-(722*x**2))+1)))] }
-
-
-
-def A042750():
- x = SR.var('x')
- return { 'ogf': [(((30+(301*x)+(30*x**2))-x**3)/((1-(602*x**2))+x**4))] }
-
-
-
-def A042751():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(10*x)-1)/((x**4-(602*x**2))+1)))] }
-
-
-
-def A042754():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(30*x**14))+(211*x**13))-(241*x**12))+(452*x**11))-(6569*x**10))+(7021*x**9))-(13590*x**8)-(102151*x**7)-(13590*x**6)-(7021*x**5)-(6569*x**4)-(452*x**3)-(241*x**2)-(211*x)-30)/(((x**8-(452*x**4))+1)*(x**8+(452*x**4)+1))))] }
-
-
-
-def A042755():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(7*x**13))+(8*x**12))-(15*x**11))+(218*x**10))-(233*x**9))+(451*x**8))-(3390*x**7)-(451*x**6)-(233*x**5)-(218*x**4)-(15*x**3)-(8*x**2)-(7*x)-1)/(((x**8-(452*x**4))+1)*(x**8+(452*x**4)+1))))] }
-
-
-
-def A042756():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(30*x**14))+(181*x**13))-(211*x**12))+(603*x**11))-(3829*x**10))+(8261*x**9))-(12090*x**8)-(80801*x**7)-(12090*x**6)-(8261*x**5)-(3829*x**4)-(603*x**3)-(211*x**2)-(181*x)-30)/((x**4-(20*x**2)-1)*((x**4+(20*x**2))-1)*(x**8+(402*x**4)+1))))] }
-
-
-
-def A042757():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(6*x**13))+(7*x**12))-(20*x**11))+(127*x**10))-(274*x**9))+(401*x**8))-(2680*x**7)-(401*x**6)-(274*x**5)-(127*x**4)-(20*x**3)-(7*x**2)-(6*x)-1)/((x**4-(20*x**2)-1)*((x**4+(20*x**2))-1)*(x**8+(402*x**4)+1))))] }
-
-
-
-def A042758():
- x = SR.var('x')
- return { 'ogf': [(((30+(181*x)+(30*x**2))-x**3)/((1-(362*x**2))+x**4))] }
-
-
-
-def A042759():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(6*x)-1)/((x**4-(362*x**2))+1)))] }
-
-
-
-def A042762():
- x = SR.var('x')
- return { 'ogf': [(((30+(151*x)+(30*x**2))-x**3)/((1-(302*x**2))+x**4))] }
-
-
-
-def A042763():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(5*x)-1)/((x**4-(302*x**2))+1)))] }
-
-
-
-def A042766():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(30*x**8))+(121*x**7))-(393*x**6))+(1300*x**5)+(5593*x**4)+(1300*x**3)+(393*x**2)+(121*x)+30)/((x**10+(11186*x**5))-1)))] }
-
-
-
-def A042767():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(4*x**7))+(13*x**6))-(43*x**5))+(185*x**4)+(43*x**3)+(13*x**2)+(4*x)+1)/((x**10+(11186*x**5))-1)))] }
-
-
-
-def A042768():
- x = SR.var('x')
- return { 'ogf': [(((30+(121*x)+(30*x**2))-x**3)/((1-(242*x**2))+x**4))] }
-
-
-
-def A042769():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(4*x)-1)/((x**4-(242*x**2))+1)))] }
-
-
-
-def A042774():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(30*x**18))+(91*x**17))-(212*x**16))+(303*x**15))-(2030*x**14))+(61203*x**13))-(369248*x**12))+(430451*x**11))-(1230150*x**10)-(4120901*x**9)-(1230150*x**8)-(430451*x**7)-(369248*x**6)-(61203*x**5)-(2030*x**4)-(303*x**3)-(212*x**2)-(91*x)-30)/((x**20-(8241802*x**10))+1)))] }
-
-
-
-def A042775():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(7*x**16))-(10*x**15))+(67*x**14))-(2020*x**13))+(12187*x**12))-(14207*x**11))+(40601*x**10))-(136010*x**9)-(40601*x**8)-(14207*x**7)-(12187*x**6)-(2020*x**5)-(67*x**4)-(10*x**3)-(7*x**2)-(3*x)-1)/((x**20-(8241802*x**10))+1)))] }
-
-
-
-def A042778():
- x = SR.var('x')
- return { 'ogf': [(((30+(91*x)+(30*x**2))-x**3)/((1-(182*x**2))+x**4))] }
-
-
-
-def A042779():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(3*x)-1)/((x**4-(182*x**2))+1)))] }
-
-
-
-def A042784():
- x = SR.var('x')
- return { 'ogf': [(((((((30+(61*x)+(91*x**2)+(152*x**3)+(243*x**4)+(638*x**5)+(243*x**6))-(152*x**7))+(91*x**8))-(61*x**9))+(30*x**10))-x**11)/((1-(1276*x**6))+x**12))] }
-
-
-
-def A042785():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(5*x**7))+(8*x**6))-(21*x**5)-(8*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/((x**12-(1276*x**6))+1)))] }
-
-
-
-def A042786():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(30*x**14))+(61*x**13))-(91*x**12))+(152*x**11))-(2219*x**10))+(2371*x**9))-(4590*x**8)-(11551*x**7)-(4590*x**6)-(2371*x**5)-(2219*x**4)-(152*x**3)-(91*x**2)-(61*x)-30)/(((x**8-(152*x**4))+1)*(x**8+(152*x**4)+1))))] }
-
-
-
-def A042787():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(5*x**11))+(73*x**10))-(78*x**9))+(151*x**8))-(380*x**7)-(151*x**6)-(78*x**5)-(73*x**4)-(5*x**3)-(3*x**2)-(2*x)-1)/(((x**8-(152*x**4))+1)*(x**8+(152*x**4)+1))))] }
-
-
-
-def A042788():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(30*x**8))+(61*x**7))-(152*x**6))+(365*x**5)+(882*x**4)+(365*x**3)+(152*x**2)+(61*x)+30)/((x**10+(1764*x**5))-1)))] }
-
-
-
-def A042789():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(2*x**7))+(5*x**6))-(12*x**5))+(29*x**4)+(12*x**3)+(5*x**2)+(2*x)+1)/((x**10+(1764*x**5))-1)))] }
-
-
-
-def A042792():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(30*x**14))+(61*x**13))-(274*x**12))+(1431*x**11))-(4567*x**10))+(24266*x**9))-(101631*x**8)-(227528*x**7)-(101631*x**6)-(24266*x**5)-(4567*x**4)-(1431*x**3)-(274*x**2)-(61*x)-30)/((x**16-(455056*x**8))+1)))] }
-
-
-
-def A042793():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(9*x**12))-(47*x**11))+(150*x**10))-(797*x**9))+(3338*x**8))-(7473*x**7)-(3338*x**6)-(797*x**5)-(150*x**4)-(47*x**3)-(9*x**2)-(2*x)-1)/((x**16-(455056*x**8))+1)))] }
-
-
-
-def A042798():
- x = SR.var('x')
- return { 'ogf': [(((30+(61*x)+(30*x**2))-x**3)/((1-(122*x**2))+x**4))] }
-
-
-
-def A042799():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(122*x**2))+1)))] }
-
-
-
-def A042804():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(30*x**14))+(31*x**13))-(61*x**12))+(336*x**11))-(6781*x**10))+(34241*x**9))-(41022*x**8)-(75263*x**7)-(41022*x**6)-(34241*x**5)-(6781*x**4)-(336*x**3)-(61*x**2)-(31*x)-30)/((x**16-(150526*x**8))+1)))] }
-
-
-
-def A042805():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(11*x**11))+(222*x**10))-(1121*x**9))+(1343*x**8))-(2464*x**7)-(1343*x**6)-(1121*x**5)-(222*x**4)-(11*x**3)-(2*x**2)-x-1)/((x**16-(150526*x**8))+1)))] }
-
-
-
-def A042807():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((x**26-x**25)+(2*x**24))-(7*x**23))+(9*x**22))-(16*x**21))+(57*x**20))-(1726*x**19))+(5235*x**18))-(6961*x**17))+(12196*x**16))-(43549*x**15))+(55745*x**14))-(99294*x**13)-(55745*x**12)-(43549*x**11)-(12196*x**10)-(6961*x**9)-(5235*x**8)-(1726*x**7)-(57*x**6)-(16*x**5)-(9*x**4)-(7*x**3)-(2*x**2)-x-1)/((x**28-(6069130*x**14))+1)))] }
-
-
-
-def A042808():
- x = SR.var('x')
- return { 'ogf': [(((((((((30+(31*x)+(61*x**2)+(153*x**3)+(214*x**4)+(581*x**5)+(795*x**6)+(1376*x**7)+(795*x**8))-(581*x**9))+(214*x**10))-(153*x**11))+(61*x**12))-(31*x**13))+(30*x**14))-x**15)/((1-(2752*x**8))+x**16))] }
-
-
-
-def A042809():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(5*x**11))+(7*x**10))-(19*x**9))+(26*x**8))-(45*x**7)-(26*x**6)-(19*x**5)-(7*x**4)-(5*x**3)-(2*x**2)-x-1)/((x**16-(2752*x**8))+1)))] }
-
-
-
-def A042810():
- x = SR.var('x')
- return { 'ogf': [(((((((((30+(31*x)+(61*x**2)+(153*x**3)+(979*x**4)+(2111*x**5)+(3090*x**6)+(5201*x**7)+(3090*x**8))-(2111*x**9))+(979*x**10))-(153*x**11))+(61*x**12))-(31*x**13))+(30*x**14))-x**15)/((1-(10402*x**8))+x**16))] }
-
-
-
-def A042811():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(2*x**12))-(5*x**11))+(32*x**10))-(69*x**9))+(101*x**8))-(170*x**7)-(101*x**6)-(69*x**5)-(32*x**4)-(5*x**3)-(2*x**2)-x-1)/((x**4-(10*x**2)-1)*((x**4+(10*x**2))-1)*(x**8+(102*x**4)+1))))] }
-
-
-
-def A042814():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(30*x**18))+(31*x**17))-(61*x**16))+(92*x**15))-(245*x**14))+(2052*x**13))-(4349*x**12))+(6401*x**11))-(10750*x**10)-(17151*x**9)-(10750*x**8)-(6401*x**7)-(4349*x**6)-(2052*x**5)-(245*x**4)-(92*x**3)-(61*x**2)-(31*x)-30)/((x**20-(34302*x**10))+1)))] }
-
-
-
-def A042815():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(3*x**15))+(8*x**14))-(67*x**13))+(142*x**12))-(209*x**11))+(351*x**10))-(560*x**9)-(351*x**8)-(209*x**7)-(142*x**6)-(67*x**5)-(8*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**20-(34302*x**10))+1)))] }
-
-
-
-def A042816():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(30*x**18))+(31*x**17))-(61*x**16))+(92*x**15))-(429*x**14))+(8672*x**13))-(35117*x**12))+(43789*x**11))-(78906*x**10)-(122695*x**9)-(78906*x**8)-(43789*x**7)-(35117*x**6)-(8672*x**5)-(429*x**4)-(92*x**3)-(61*x**2)-(31*x)-30)/((x**20-(245390*x**10))+1)))] }
-
-
-
-def A042817():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(2*x**16))-(3*x**15))+(14*x**14))-(283*x**13))+(1146*x**12))-(1429*x**11))+(2575*x**10))-(4004*x**9)-(2575*x**8)-(1429*x**7)-(1146*x**6)-(283*x**5)-(14*x**4)-(3*x**3)-(2*x**2)-x-1)/((x**20-(245390*x**10))+1)))] }
-
-
-
-def A042818():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-(30*x**14))+(31*x**13))-(61*x**12))+(92*x**11))-(1349*x**10))+(1441*x**9))-(2790*x**8)-(4231*x**7)-(2790*x**6)-(1441*x**5)-(1349*x**4)-(92*x**3)-(61*x**2)-(31*x)-30)/(((x**8-(92*x**4))+1)*(x**8+(92*x**4)+1))))] }
-
-
-
-def A042819():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(3*x**2)+1)*(x**8+(46*x**4)+1))/(((x**8-(92*x**4))+1)*(x**8+(92*x**4)+1))))] }
-
-
-
-def A042822():
- x = SR.var('x')
- return { 'ogf': [(((((((((30+(31*x)+(92*x**2)+(399*x**3)+(8072*x**4)+(32687*x**5)+(73446*x**6)+(106133*x**7)+(73446*x**8))-(32687*x**9))+(8072*x**10))-(399*x**11))+(92*x**12))-(31*x**13))+(30*x**14))-x**15)/((1-(212266*x**8))+x**16))] }
-
-
-
-def A042823():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13)+(3*x**12))-(13*x**11))+(263*x**10))-(1065*x**9))+(2393*x**8))-(3458*x**7)-(2393*x**6)-(1065*x**5)-(263*x**4)-(13*x**3)-(3*x**2)-x-1)/((x**16-(212266*x**8))+1)))] }
-
-
-
-def A042824():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(30*x**10))+(31*x**9))-(92*x**8))+(215*x**7))-(522*x**6)-(737*x**5)-(522*x**4)-(215*x**3)-(92*x**2)-(31*x)-30)/((x**12-(1474*x**6))+1)))] }
-
-
-
-def A042825():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(3*x**8))-(7*x**7))+(17*x**6))-(24*x**5)-(17*x**4)-(7*x**3)-(3*x**2)-x-1)/((x**12-(1474*x**6))+1)))] }
-
-
-
-def A042828():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(30*x**18))+(31*x**17))-(92*x**16))+(123*x**15))-(830*x**14))+(10083*x**13))-(61328*x**12))+(71411*x**11))-(204150*x**10)-(275561*x**9)-(204150*x**8)-(71411*x**7)-(61328*x**6)-(10083*x**5)-(830*x**4)-(123*x**3)-(92*x**2)-(31*x)-30)/((x**20-(551122*x**10))+1)))] }
-
-
-
-def A042829():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(3*x**16))-(4*x**15))+(27*x**14))-(328*x**13))+(1995*x**12))-(2323*x**11))+(6641*x**10))-(8964*x**9)-(6641*x**8)-(2323*x**7)-(1995*x**6)-(328*x**5)-(27*x**4)-(4*x**3)-(3*x**2)-x-1)/((x**20-(551122*x**10))+1)))] }
-
-
-
-def A042834():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(30*x**18))+(31*x**17))-(123*x**16))+(154*x**15))-(585*x**14))+(11854*x**13))-(36147*x**12))+(48001*x**11))-(180150*x**10)-(228151*x**9)-(180150*x**8)-(48001*x**7)-(36147*x**6)-(11854*x**5)-(585*x**4)-(154*x**3)-(123*x**2)-(31*x)-30)/((x**20-(456302*x**10))+1)))] }
-
-
-
-def A042835():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-x**17)+(4*x**16))-(5*x**15))+(19*x**14))-(385*x**13))+(1174*x**12))-(1559*x**11))+(5851*x**10))-(7410*x**9)-(5851*x**8)-(1559*x**7)-(1174*x**6)-(385*x**5)-(19*x**4)-(5*x**3)-(4*x**2)-x-1)/((x**20-(456302*x**10))+1)))] }
-
-
-
-def A042842():
- x = SR.var('x')
- return { 'ogf': [(((((((((30+(31*x)+(185*x**2)+(216*x**3)+(1481*x**4)+(1697*x**5)+(9966*x**6)+(11663*x**7)+(9966*x**8))-(1697*x**9))+(1481*x**10))-(216*x**11))+(185*x**12))-(31*x**13))+(30*x**14))-x**15)/((1-(23326*x**8))+x**16))] }
-
-
-
-def A042843():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(7*x**2)+1)*(x**8+(54*x**4)+1))/((x**16-(23326*x**8))+1)))] }
-
-
-
-def A042852():
- x = SR.var('x')
- return { 'ogf': [(((((((30+(31*x)+(464*x**2)+(959*x**3)+(13890*x**4)+(14849*x**5)+(13890*x**6))-(959*x**7))+(464*x**8))-(31*x**9))+(30*x**10))-x**11)/((1-(29698*x**6))+x**12))] }
-
-
-
-def A042853():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-x**9)+(15*x**8))-(31*x**7))+(449*x**6))-(480*x**5)-(449*x**4)-(31*x**3)-(15*x**2)-x-1)/(((x**4-(31*x**2))+1)*(x**8+(31*x**6)+(960*x**4)+(31*x**2)+1))))] }
-
-
-
-def A042856():
- x = SR.var('x')
- return { 'ogf': [(((((30+(31*x)+(929*x**2)+(960*x**3)+(929*x**4))-(31*x**5))+(30*x**6))-x**7)/((1-(1920*x**4))+x**8))] }
-
-
-
-def A042857():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x-1)*(x**4+(31*x**2)+1))/((x**8-(1920*x**4))+1)))] }
-
-
-
-def A042858():
- x = SR.var('x')
- return { 'ogf': [(((30+(31*x)+(30*x**2))-x**3)/((1-(62*x**2))+x**4))] }
-
-
-
-def A042859():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/(((x**2-(8*x))+1)*(x**2+(8*x)+1))))] }
-
-
-
-def A042860():
- x = SR.var('x')
- return { 'ogf': [((31+x)/(1-(62*x)-x**2))] }
-
-
-
-def A042861():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(62*x)-x**2))] }
-
-
-
-def A042862():
- x = SR.var('x')
- return { 'ogf': [(((31+(962*x)+(31*x**2))-x**3)/((1-(1924*x**2))+x**4))] }
-
-
-
-def A042863():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(31*x)-1)/((x**4-(1924*x**2))+1)))] }
-
-
-
-def A042866():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(31*x**8))+(466*x**7))-(497*x**6))+(963*x**5)+(14942*x**4)+(963*x**3)+(497*x**2)+(466*x)+31)/((x**10+(29884*x**5))-1)))] }
-
-
-
-def A042867():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(15*x**7))+(16*x**6))-(31*x**5))+(481*x**4)+(31*x**3)+(16*x**2)+(15*x)+1)/((x**10+(29884*x**5))-1)))] }
-
-
-
-def A042868():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(31*x**10))+(373*x**9))-(777*x**8))+(1927*x**7))-(4631*x**6)-(57499*x**5)-(4631*x**4)-(1927*x**3)-(777*x**2)-(373*x)-31)/((x**12-(114998*x**6))+1)))] }
-
-
-
-def A042869():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(12*x**9))+(25*x**8))-(62*x**7))+(149*x**6))-(1850*x**5)-(149*x**4)-(62*x**3)-(25*x**2)-(12*x)-1)/((x**12-(114998*x**6))+1)))] }
-
-
-
-def A042872():
- x = SR.var('x')
- return { 'ogf': [(((((((31+(249*x)+(280*x**2)+(1929*x**3)+(2209*x**4)+(19601*x**5)+(2209*x**6))-(1929*x**7))+(280*x**8))-(249*x**9))+(31*x**10))-x**11)/((1-(39202*x**6))+x**12))] }
-
-
-
-def A042873():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(8*x**9))+(9*x**8))-(62*x**7))+(71*x**6))-(630*x**5)-(71*x**4)-(62*x**3)-(9*x**2)-(8*x)-1)/(((x**2-(6*x))+1)*(x**2+(6*x)+1)*((((x**4-(6*x**3))+(35*x**2))-(6*x))+1)*(x**4+(6*x**3)+(35*x**2)+(6*x)+1))))] }
-
-
-
-def A042876():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**17-(31*x**16))+(187*x**15))-(218*x**14))+(2149*x**13))-(2367*x**12))+(4516*x**11))-(43011*x**10))+(47527*x**9)+(328173*x**8)+(47527*x**7)+(43011*x**6)+(4516*x**5)+(2367*x**4)+(2149*x**3)+(218*x**2)+(187*x)+31)/((x**18+(656346*x**9))-1)))] }
-
-
-
-def A042877():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**16-(6*x**15))+(7*x**14))-(69*x**13))+(76*x**12))-(145*x**11))+(1381*x**10))-(1526*x**9))+(10537*x**8)+(1526*x**7)+(1381*x**6)+(145*x**5)+(76*x**4)+(69*x**3)+(7*x**2)+(6*x)+1)/((x**18+(656346*x**9))-1)))] }
-
-
-
-def A042882():
- x = SR.var('x')
- return { 'ogf': [(((((((((31+(156*x)+(811*x**2)+(1778*x**3)+(15035*x**4)+(31848*x**5)+(174275*x**6)+(903223*x**7)+(174275*x**8))-(31848*x**9))+(15035*x**10))-(1778*x**11))+(811*x**12))-(156*x**13))+(31*x**14))-x**15)/((1-(1806446*x**8))+x**16))] }
-
-
-
-def A042883():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(5*x**13))+(26*x**12))-(57*x**11))+(482*x**10))-(1021*x**9))+(5587*x**8))-(28956*x**7)-(5587*x**6)-(1021*x**5)-(482*x**4)-(57*x**3)-(26*x**2)-(5*x)-1)/((x**16-(1806446*x**8))+1)))] }
-
-
-
-def A042886():
- x = SR.var('x')
- return { 'ogf': [(((((31+(125*x)+(281*x**2)+(1249*x**3)+(281*x**4))-(125*x**5))+(31*x**6))-x**7)/((1-(2498*x**4))+x**8))] }
-
-
-
-def A042887():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(4*x)-1)*(x**4+(10*x**2)+1))/(((x**4-(50*x**2))+1)*(x**4+(50*x**2)+1))))] }
-
-
-
-def A042892():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(31*x**18))+(94*x**17))-(125*x**16))+(219*x**15))-(344*x**14))+(10539*x**13))-(10883*x**12))+(21422*x**11))-(32305*x**10)-(118337*x**9)-(32305*x**8)-(21422*x**7)-(10883*x**6)-(10539*x**5)-(344*x**4)-(219*x**3)-(125*x**2)-(94*x)-31)/((x**20-(236674*x**10))+1)))] }
-
-
-
-def A042893():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(4*x**16))-(7*x**15))+(11*x**14))-(337*x**13))+(348*x**12))-(685*x**11))+(1033*x**10))-(3784*x**9)-(1033*x**8)-(685*x**7)-(348*x**6)-(337*x**5)-(11*x**4)-(7*x**3)-(4*x**2)-(3*x)-1)/((x**20-(236674*x**10))+1)))] }
-
-
-
-def A042894():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(31*x**18))+(94*x**17))-(219*x**16))+(1189*x**15))-(1408*x**14))+(6821*x**13))-(8229*x**12))+(47966*x**11))-(104161*x**10)-(360449*x**9)-(104161*x**8)-(47966*x**7)-(8229*x**6)-(6821*x**5)-(1408*x**4)-(1189*x**3)-(219*x**2)-(94*x)-31)/((x**20-(720898*x**10))+1)))] }
-
-
-
-def A042895():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(7*x**16))-(38*x**15))+(45*x**14))-(218*x**13))+(263*x**12))-(1533*x**11))+(3329*x**10))-(11520*x**9)-(3329*x**8)-(1533*x**7)-(263*x**6)-(218*x**5)-(45*x**4)-(38*x**3)-(7*x**2)-(3*x)-1)/((x**20-(720898*x**10))+1)))] }
-
-
-
-def A042896():
- x = SR.var('x')
- return { 'ogf': [(((((((((((31+(94*x)+(313*x**2)+(407*x**3)+(720*x**4)+(1847*x**5)+(2567*x**6)+(4414*x**7)+(15809*x**8)+(51841*x**9)+(15809*x**10))-(4414*x**11))+(2567*x**12))-(1847*x**13))+(720*x**14))-(407*x**15))+(313*x**16))-(94*x**17))+(31*x**18))-x**19)/((1-(103682*x**10))+x**20))] }
-
-
-
-def A042897():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(3*x**17))+(10*x**16))-(13*x**15))+(23*x**14))-(59*x**13))+(82*x**12))-(141*x**11))+(505*x**10))-(1656*x**9)-(505*x**8)-(141*x**7)-(82*x**6)-(59*x**5)-(23*x**4)-(13*x**3)-(10*x**2)-(3*x)-1)/(((x**10-(322*x**5))+1)*(x**10+(322*x**5)+1))))] }
-
-
-
-def A042900():
- x = SR.var('x')
- return { 'ogf': [(((((((31+(63*x)+(94*x**2)+(2883*x**3)+(2977*x**4)+(8837*x**5)+(2977*x**6))-(2883*x**7))+(94*x**8))-(63*x**9))+(31*x**10))-x**11)/((1-(17674*x**6))+x**12))] }
-
-
-
-def A042901():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10-(2*x**9))+(3*x**8))-(92*x**7))+(95*x**6))-(282*x**5)-(95*x**4)-(92*x**3)-(3*x**2)-(2*x)-1)/((x**12-(17674*x**6))+1)))] }
-
-
-
-def A042902():
- x = SR.var('x')
- return { 'ogf': [(((((((((31+(63*x)+(94*x**2)+(533*x**3)+(16617*x**4)+(83618*x**5)+(100235*x**6)+(284088*x**7)+(100235*x**8))-(83618*x**9))+(16617*x**10))-(533*x**11))+(94*x**12))-(63*x**13))+(31*x**14))-x**15)/((1-(568176*x**8))+x**16))] }
-
-
-
-def A042903():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-(2*x**13))+(3*x**12))-(17*x**11))+(530*x**10))-(2667*x**9))+(3197*x**8))-(9061*x**7)-(3197*x**6)-(2667*x**5)-(530*x**4)-(17*x**3)-(3*x**2)-(2*x)-1)/((x**16-(568176*x**8))+1)))] }
-
-
-
-def A042904():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**19-(31*x**18))+(63*x**17))-(94*x**16))+(251*x**15))-(596*x**14))+(4423*x**13))-(9442*x**12))+(23307*x**11))-(32749*x**10)-(88805*x**9)-(32749*x**8)-(23307*x**7)-(9442*x**6)-(4423*x**5)-(596*x**4)-(251*x**3)-(94*x**2)-(63*x)-31)/((x**20-(177610*x**10))+1)))] }
-
-
-
-def A042905():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**18-(2*x**17))+(3*x**16))-(8*x**15))+(19*x**14))-(141*x**13))+(301*x**12))-(743*x**11))+(1044*x**10))-(2831*x**9)-(1044*x**8)-(743*x**7)-(301*x**6)-(141*x**5)-(19*x**4)-(8*x**3)-(3*x**2)-(2*x)-1)/((x**20-(177610*x**10))+1)))] }
-
-
-
-def A042906():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**9-(31*x**8))+(63*x**7))-(94*x**6))+(157*x**5)+(408*x**4)+(157*x**3)+(94*x**2)+(63*x)+31)/((x**10+(816*x**5))-1)))] }
-
-
-
-def A042907():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-(2*x**7))+(3*x**6))-(5*x**5))+(13*x**4)+(5*x**3)+(3*x**2)+(2*x)+1)/((x**10+(816*x**5))-1)))] }
-
-
-
-def A042908():
- x = SR.var('x')
- return { 'ogf': [((((31+(63*x)+(157*x**2)+(63*x**3))-(31*x**4))+x**5)/(1-(314*x**3)-x**6))] }
-
-
-
-def A042909():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-(2*x**3))+(5*x**2)+(2*x)+1)/((x**6+(314*x**3))-1)))] }
-
-
-
-def A042910():
- x = SR.var('x')
- return { 'ogf': [(((((31+(63*x)+(157*x**2)+(377*x**3)+(157*x**4))-(63*x**5))+(31*x**6))-x**7)/((1-(754*x**4))+x**8))] }
-
-
-
-def A042911():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(6*x**2)+1))/((x**8-(754*x**4))+1)))] }
-
-
-
-def A042916():
- x = SR.var('x')
- return { 'ogf': [(((((31+(63*x)+(409*x**2)+(881*x**3)+(409*x**4))-(63*x**5))+(31*x**6))-x**7)/((1-(1762*x**4))+x**8))] }
-
-
-
-def A042917():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(2*x)-1)*(x**4+(14*x**2)+1))/(((x**4-(42*x**2))+1)*(x**4+(42*x**2)+1))))] }
-
-
-
-def A042920():
- x = SR.var('x')
- return { 'ogf': [(((31+(63*x)+(31*x**2))-x**3)/((1-(126*x**2))+x**4))] }
-
-
-
-def A042921():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x**4-(126*x**2))+1)))] }
-
-
-
-def A042922():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**11-(31*x**10))+(32*x**9))-(63*x**8))+(1292*x**7))-(1355*x**6)-(2647*x**5)-(1355*x**4)-(1292*x**3)-(63*x**2)-(32*x)-31)/((x**12-(5294*x**6))+1)))] }
-
-
-
-def A042923():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(42*x**3)-1))/((x**12-(5294*x**6))+1)))] }
-
-
-
-def A042924():
- x = SR.var('x')
- return { 'ogf': [(((((((31+(32*x)+(63*x**2)+(536*x**3)+(599*x**4)+(1135*x**5)+(599*x**6))-(536*x**7))+(63*x**8))-(32*x**9))+(31*x**10))-x**11)/((1-(2270*x**6))+x**12))] }
-
-
-
-def A042925():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-x**3)+(2*x**2)+x+1)*(x**6-(18*x**3)-1))/((x**12-(2270*x**6))+1)))] }
-
-
-
-def A042944():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(4*x))-(3*x**2))+(6*x**3))/((1-x)**2*(1+x**2)))] }
-
-
-
-def A042948():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A042950():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-(2*x)))] }
-
-
-
-def A042963():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A042964():
- x = SR.var('x')
- return { 'ogf': [((2+x+x**2)/((1-x)*(1-x**2)))] }
-
-
-
-def A042965():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)**2)/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A042968():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A042984():
- x = SR.var('x')
- return { 'ogf': [(((x**4-(3*x**3)-(3*x**2))+(5*x)+1)/(x-1)**6)] }
-
-
-
-def A043291():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((x-1)*((4*x)-1)*(1+x)))] }
-
-
-
-def A043547():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x))*(1+x**2))/(1-x**2)**2)] }
-
-
-
-def A043699():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x**2+1))/((x**2-(2*x)-1)*((x**2+(14*x))-1)))] }
-
-
-
-def A044043():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((2*x**8)+(4*x**5)+(4*x**4)+(3*x**3)+(3*x**2)+(5*x)+2))/(((2*x**10)+(4*x**7)+(3*x**6)+x**5+(2*x**4)+(3*x**3))-1)))] }
-
-
-
-def A044102():
- x = SR.var('x')
- return { 'ogf': [((36*x)/(1-x)**2)] }
-
-
-
-def A044941():
- x = SR.var('x')
- return { 'ogf': [(x**11/(1-x**11))] }
-
-
-
-def A045445():
- x = SR.var('x')
- return { 'ogf': [(((1/2)*(((7*x**2)-(6*x))+1+(((3*x)-1)*sqrt((((5*x**2)-(6*x))+1)))))/x**2)] }
-
-
-
-def A045513():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)**2*(1-x**3)**2*(1-x**4)**2*(1-x**5)*(1-x**6)))] }
-
-
-
-def A045543():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x))**6)] }
-
-
-
-def A045572():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(4*x**2)+(2*x**3)+x**4))/((1+x)*(x**2+1)*(x-1)**2)),
-((x*(1+(2*x)+(4*x**2)+(2*x**3)+x**4))/((1-x)*(1-x**4)))] }
-
-
-
-def A045618():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-x))**2)] }
-
-
-
-def A045623():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(2*x))**2)] }
-
-
-
-def A045635():
- x = SR.var('x')
- return { 'ogf': [x**3] }
-
-
-
-def A045651():
- x = SR.var('x')
- return { 'ogf': [((x**8+(8*x**7)+(28*x**6)+(56*x**5)+(198*x**4)+(56*x**3)+(28*x**2)+(8*x)+1)/(x-1)**8)] }
-
-
-
-def A045794():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**7-x**6)+x**5+x**2+x+1))/((x**9+x**6+(3*x**3))-1)))] }
-
-
-
-def A045797():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(4*x**2)+(2*x**3)+(11*x**4)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A045798():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(2*x)+(4*x**2)+(2*x**3)+x**4))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A045800():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(36*x**2)+(6*x**3)+(51*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045801():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(28*x)+(34*x**2)+(4*x**3)+(23*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045802():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(18*x)+(8*x**2)+(18*x**3)+(53*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045803():
- x = SR.var('x')
- return { 'ogf': [((x*(17+(2*x)+(12*x**2)+(2*x**3)+(67*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045804():
- x = SR.var('x')
- return { 'ogf': [((x*(9+(32*x)+(22*x**2)+(24*x**3)+(13*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045805():
- x = SR.var('x')
- return { 'ogf': [((x*(51+(6*x)+(36*x**2)+(6*x**3)+x**4))/((1-x-x**4)+x**5))] }
-
-
-
-def A045806():
- x = SR.var('x')
- return { 'ogf': [((x*(23+(4*x)+(34*x**2)+(28*x**3)+(11*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045807():
- x = SR.var('x')
- return { 'ogf': [((x*(53+(18*x)+(8*x**2)+(18*x**3)+(3*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045808():
- x = SR.var('x')
- return { 'ogf': [((x*(67+(2*x)+(12*x**2)+(2*x**3)+(17*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045809():
- x = SR.var('x')
- return { 'ogf': [((x*(13+(24*x)+(22*x**2)+(32*x**3)+(9*x**4)))/((1-x-x**4)+x**5))] }
-
-
-
-def A045821():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3-x**2-(3*x))+1)/((x**4-(2*x**3)-(2*x**2)-(2*x))+1)))] }
-
-
-
-def A045829():
- x = SR.var('x')
- return { 'ogf': [x**4] }
-
-
-
-def A045868():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(6*x))+(5*x**2))))/(2*x))**2] }
-
-
-
-def A045873():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))+(5*x**2)))] }
-
-
-
-def A045883():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)*(1-(2*x))**2))] }
-
-
-
-def A045889():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))**2*(1-x)**3))] }
-
-
-
-def A045890():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(6*x))+(5*x**2))))**3/(8*x**3))] }
-
-
-
-def A045891():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/(1-(2*x))**2)] }
-
-
-
-def A045896():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)+(3*x**2)+(6*x)+1)/(1-x**2)**3)] }
-
-
-
-def A045899():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**2)/((x-1)*((x**2-(14*x))+1))))] }
-
-
-
-def A045902():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(6*x))+(5*x**2))))**4/(16*x**4))] }
-
-
-
-def A045925():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(1-x-x**2)**2)] }
-
-
-
-def A045943():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(1-x)**3)] }
-
-
-
-def A045945():
- x = SR.var('x')
- return { 'ogf': [((6*x*(2+x))/(1-x)**3)] }
-
-
-
-def A045946():
- x = SR.var('x')
- return { 'ogf': [((12*x*(2+x))/(1-x)**3)] }
-
-
-
-def A045947():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+x**3)/((1-x)**3*(1-x**2)))] }
-
-
-
-def A045949():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3+(10*x)+(7*x**2)+x**3))/((1+x)*(x-1)**4))] }
-
-
-
-def A045950():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(19*x)+10))/(x-1)**4)] }
-
-
-
-def A045991():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x+2))/((-1)+x)**4)] }
-
-
-
-def A046023():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(4*x)+(20*x**2)+(4*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A046090():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(((1-(6*x))+x**2)*(1-x)))] }
-
-
-
-def A046127():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1-(2*x))+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A046142():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**3)+(59*x**2)+(29*x)+1))/(x-1)**4)] }
-
-
-
-def A046162():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(4*x**7)+(3*x**6)+(13*x**5)+(13*x**4)+(3*x**3)+(4*x**2)+x))/(1-x**3)**3)] }
-
-
-
-def A046163():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+x**7+x**6+(4*x**5)+(10*x**4)+(4*x**3)+(13*x**2)+(7*x)+1))/(1-x**3)**3)] }
-
-
-
-def A046166():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-(26*x))*(1-(27*x))*(1-(28*x))*(1-(29*x))*(1-(30*x))*(1-(31*x))))] }
-
-
-
-def A046167():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-(57*x))*(1-(58*x))*(1-(59*x))*(1-(60*x))*(1-(61*x))*(1-(62*x))*(1-(63*x))))] }
-
-
-
-def A046172():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(18*x))+x**2))/((1-x)*((1-(98*x))+x**2)))] }
-
-
-
-def A046174():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A046175():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A046176():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-(34*x))+x**2))] }
-
-
-
-def A046177():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(70*x)+x**2))/((1-x)*((1-(1154*x))+x**2)))] }
-
-
-
-def A046178():
- x = SR.var('x')
- return { 'ogf': [((1-(30*x)-(3*x**2))/((1-x)*((1-(194*x))+x**2)))] }
-
-
-
-def A046182():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(5*x)+(49*x**2))-(5*x**3)-(2*x**4)))/((1-x)*((1-(10*x))+x**2)*(1+(10*x)+x**2)))] }
-
-
-
-def A046183():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(20*x**3)+(2158*x**2)+(20*x)+1))/((x-1)*((x**2-(98*x))+1)*(x**2+(98*x)+1))))] }
-
-
-
-def A046184():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(6*x))+x**2))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A046187():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(8*x)-x**2)*(1+(18*x)+(5*x**2)))/((1-x)*((1-(34*x))+x**2)*(1+(34*x)+x**2)))] }
-
-
-
-def A046188():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(7*x))-(437*x**2))+(41*x**3)+(4*x**4)))/((1-x)*((1-(34*x))+x**2)*(1+(34*x)+x**2)))] }
-
-
-
-def A046190():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(36*x))+(3*x**2)))/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A046191():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(22*x)+(3*x**2)))/((x-1)*((x**2-(98*x))+1)))] }
-
-
-
-def A046192():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2178*x)+(21*x**2)))/((1-x)*((1-(9602*x))+x**2)))] }
-
-
-
-def A046194():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(54*x)+(18034*x**2)+(54*x**3)+x**4))/((1-x)*((1-(322*x))+x**2)*(1+(322*x)+x**2)))] }
-
-
-
-def A046195():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(5*x)+(43*x**2))-(530*x**3))+(43*x**4)+(5*x**5)+x**6))/((x-1)*((x**6-(1442*x**3))+1))))] }
-
-
-
-def A046630():
- x = SR.var('x')
- return { 'ogf': [((((-(2*x**3))-x**2)+1)/((1-(2*x))*(1-x**3)))] }
-
-
-
-def A046631():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**3))-(6*x**2))+1)/((1-(3*x))*(1-x**3)))] }
-
-
-
-def A046632():
- x = SR.var('x')
- return { 'ogf': [((((-(4*x**3))-(2*x**2)-x)+1)/((1-(4*x))*(1-x**3)))] }
-
-
-
-def A046633():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x**2)-(5*x**3))/((x-1)*((5*x)-1)*(1+x+x**2)))] }
-
-
-
-def A046635():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-(6*x**2)-(7*x**3))/((x-1)*((7*x)-1)*(1+x+x**2)))] }
-
-
-
-def A046636():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(((8*x)-1)*(x-1)))] }
-
-
-
-def A046637():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x)-(6*x**2)-(21*x**3))/((x-1)*((9*x)-1)*(1+x+x**2)))] }
-
-
-
-def A046638():
- x = SR.var('x')
- return { 'ogf': [(-((((((10000*x**9)+(9000*x**8))-(5130*x**6)-(2357*x**5))+(259*x**3)+(37*x**2))-1)/((x-1)*((2*x)-1)*((5*x)-1)*((10*x)-1)*(x**2+x+1)*((25*x**2)+(5*x)+1)*((4*x**2)+(2*x)+1))))] }
-
-
-
-def A046672():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x)-(3*x**2))+(2*x**3)))] }
-
-
-
-def A046691():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(5*x))-(3*x**2))/(1-x)**3)] }
-
-
-
-def A046698():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(1-x))] }
-
-
-
-def A046717():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+x)*(1-(3*x))))] }
-
-
-
-def A046718():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((x**3-(6*x**2))+(4*x))-1))/((2*x)-1)**4))] }
-
-
-
-def A046729():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1+x)*((1-(6*x))+x**2)))] }
-
-
-
-def A046748():
- x = SR.var('x')
- return { 'ogf': [(sqrt((1-(4*x)))/(1-(5*x)))] }
-
-
-
-def A046877():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x)+(3*x**2))/(1-x**2-x**3))] }
-
-
-
-def A046915():
- x = SR.var('x')
- return { 'ogf': [(-(((10*x**2)-1)/((x-1)*((2*x)-1)*((5*x)-1)*((10*x)-1))))] }
-
-
-
-def A046916():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(10*x**4))+(6*x**3))-x**2)+(2*x))/(((2*x)-1)**2*(x-1)**3))] }
-
-
-
-def A046978():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/(1+x**4))] }
-
-
-
-def A046980():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**3)/(1+x**4))] }
-
-
-
-def A046984():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(10*x))+(22*x**2)+(4*x**3)))] }
-
-
-
-def A046994():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**3))/((1-(2*x)-(2*x**2))+(4*x**3)))] }
-
-
-
-def A046995():
- x = SR.var('x')
- return { 'ogf': [((x*(-((x-1)*(((x**7-x**6-(2*x**5))+(3*x**4))-(2*x**3)-(4*x**2)-(2*x)-1))))/((((x**4-(2*x**3))+(2*x**2)+(2*x))-1)*((x**4-x**3-(3*x**2)-x)+1)))] }
-
-
-
-def A047073():
- x = SR.var('x')
- return { 'ogf': [(1+(sqrt(((1+(2*x))/(1-(2*x))))*2*x))] }
-
-
-
-def A047081():
- x = SR.var('x')
- return { 'ogf': [((((2*x**4)-(2*x**2))+x+1)/((1-x)*(1-(3*x**2))))] }
-
-
-
-def A047084():
- x = SR.var('x')
- return { 'ogf': [((((x**7+x**6+x**5)-x**4-x**3)+x+1)/((1-x)*(1+x)**2*(1-x-x**3)))] }
-
-
-
-def A047201():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2)+(3*x**3)+(4*x**4)+(4*x**5)+(3*x**6)+(2*x**7)+x**8)/(1-x**4)**2),
-((x*(1+x+x**2+x**3+x**4))/((1-x)*(1-x**4)))] }
-
-
-
-def A047202():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047203():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047204():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A047205():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047206():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+x**2+x**3)/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047207():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+x**2+x**3))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047208():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+x))/((1-x)**2*(1+x)))] }
-
-
-
-def A047209():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+x**2)/((1-x)*(1-x**2)))] }
-
-
-
-def A047211():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A047212():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+x**2))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047215():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A047216():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047217():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(3*x**2)))/(1-x)**2/(1+x+x**2))] }
-
-
-
-def A047218():
- x = SR.var('x')
- return { 'ogf': [((((2*x)+3)*x**2)/((x+1)*(x-1)**2))] }
-
-
-
-def A047219():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047220():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(2*x**2)))/(1-x)**2/(1+x+x**2))] }
-
-
-
-def A047221():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A047222():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(2*x**2)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047223():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047226():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**3+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047227():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+(2*x**4)))/((x**5-x**4-x)+1))] }
-
-
-
-def A047228():
- x = SR.var('x')
- return { 'ogf': [((2+x+x**2+(2*x**3))/((1-x-x**3)+x**4))] }
-
-
-
-def A047229():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2-x)+(2*x**2)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047230():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047231():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047233():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(2+x))/((1+x)*(1-x)**2))] }
-
-
-
-def A047234():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*((2*x)+1))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047235():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A047236():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x**2)+1))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047237():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x**2)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047238():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A047239():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047240():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)))/((1-x)*(1-x**3)))] }
-
-
-
-def A047241():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A047242():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(3*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047243():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047244():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(3*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047245():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(3*x**3)))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A047246():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+(3*x**3)))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047247():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047248():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2+x**3+x**4))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047249():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+x**2+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047250():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+x**2+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047251():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**3))/((1+x**2)*(x-1)**2))] }
-
-
-
-def A047252():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(x**3+x+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047253():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x+x**2)*((x**2-x)+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047254():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(1+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047255():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2+x**3))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047256():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(x**3+x**2+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047257():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A047258():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+x+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047259():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2+x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047260():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+x**2+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047261():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047262():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x**2))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047264():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+x))/((1+x)*(x-1)**2))] }
-
-
-
-def A047266():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047267():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+2)*(1+x))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047268():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)+x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047269():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(3*x**2)+x**3))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047270():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x)+x**2)/((1+x)*(1-x)**2))] }
-
-
-
-def A047271():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)+x**2))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047273():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1-x)**2*(1+x**2)))] }
-
-
-
-def A047274():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(6*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047275():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(5*x)+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047276():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(4*x)+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A047277():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(4*x)+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047278():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047279():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(4*x**2)+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047280():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(3*x)+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A047281():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(3*x)+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047282():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047283():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(3*x**2)+x**3))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047284():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047285():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(3*x**2)+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047286():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(3*x**3)+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047287():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+(3*x**3)+x**4))/((1-x)**2*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A047288():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(2*x)+x**2))/((1-x)**2*(1+x)))] }
-
-
-
-def A047289():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(2*x)+x**2))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047290():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**2)+x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047291():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+(2*x**2)+x**3))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047292():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+(2*x**2)+x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047293():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+(2*x**2)+x**3))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047294():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+(2*x**3)+x**4))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047295():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)+(2*x**3)+x**4))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047296():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047297():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+(2*x**2)+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047298():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+(2*x**3)+x**4))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047299():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+x**2+(2*x**3)+x**4))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047300():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+(2*x**3)+x**4))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047301():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2+(2*x**3)+x**4))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047302():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+(2*x**4)+x**5))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047303():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**3+(2*x**4)+x**5))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047304():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+x**4+x**5+x**6))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047305():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+x**3+x**4+x**5))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047306():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2+x**3+x**4+x**5))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047307():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+x**2+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047308():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+x**2+x**3+x**4))/((1+x+x**2+x**3+x**4)*(x-1)**2))] }
-
-
-
-def A047309():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+x**3+x**4+x**5))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047310():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+x**2+x**3+x**4+x**5))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047311():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x+x**2+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047312():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+x+x**2+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047313():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047314():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+x**2+x**3+x**4))/((1+x+x**2+x**3+x**4)*(x-1)**2))] }
-
-
-
-def A047315():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2+x**3+x**4))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047316():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+x**2+x**3+x**4))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047317():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+x**3+x**4+x**5))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047318():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)+x**3+x**4+x**5))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047319():
- x = SR.var('x')
- return { 'ogf': [((x*(5+x+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A047320():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+x+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047321():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047322():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)+x**2+x**3))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047323():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+x**2+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047324():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(3*x)+x**2+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047325():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047326():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(3*x**2)+x**3+x**4))/((1+x+x**2+x**3+x**4)*(x-1)**2))] }
-
-
-
-def A047327():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2+x**3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047328():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)+x**2+x**3))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047329():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)+x**3+x**4))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047330():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(2*x**2)+x**3+x**4))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047331():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047335():
- x = SR.var('x')
- return { 'ogf': [((x**2*(6+x))/((1+x)*(1-x)**2))] }
-
-
-
-def A047336():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A047337():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**3+(3*x**4)))/((1+x+x**2+x**3+x**4)*(x-1)**2))] }
-
-
-
-def A047338():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+(3*x**4)))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047339():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+(3*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047340():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2+(3*x**3)))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047341():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047342():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(3*x**2)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047343():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+(3*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047344():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+x**2+(3*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047345():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+(3*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047346():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047347():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+(3*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047349():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+(3*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047350():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+(3*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047351():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)+(3*x**3)))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047352():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(5*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047353():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(5*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047354():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(5*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047355():
- x = SR.var('x')
- return { 'ogf': [(((3+(4*x))*x**2)/((1+x)*(1-x)**2))] }
-
-
-
-def A047356():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047357():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(4*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047358():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047359():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(4*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047360():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(4*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047361():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+(4*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047362():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+(3*x)+2)*((x**2-x)+1))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047363():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x**2)+(3*x)+2)*((x**2-x)+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047364():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+x**2+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047365():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+x**2+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047366():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+x**3+(2*x**4)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047367():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+x**2+x**3+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047368():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**3+x**4+(2*x**5)))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047369():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+x**4+(2*x**5)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047370():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047371():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(2*x**2)+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047372():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(2*x**3)+(2*x**4)))/((1-x)**2*(1+x+x**2+x**3)))] }
-
-
-
-def A047373():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+(2*x**3)+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047374():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047375():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+x+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047376():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047377():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+x**2+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047378():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047379():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+x**2+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047380():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+x**3+(2*x**4)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047381():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)+x**3+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047382():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+(2*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A047383():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047384():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047385():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047386():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(3*x)+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047387():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047388():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(3*x**2)+(2*x**3)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047389():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+(2*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A047390():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)+(2*x**2)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047391():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)+(2*x**3)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047392():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(2*x**2)+(2*x**3)))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047393():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(7*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047394():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(5*x)+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047395():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+x)**2)/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047396():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047397():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(4*x**2)+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047398():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(3*x)+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047399():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(3*x)+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047401():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047402():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047403():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(3*x**2)+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047404():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(((2*x**2)-x)+1))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047405():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((2*x**2)-x)+1)*(1+x)**2)/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047406():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+x+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A047407():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(2+x+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047408():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**2)+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047409():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+(2*x**2)+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047410():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)*(1+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047412():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)+(2*x**3)+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047413():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047414():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+(2*x**2)+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047415():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**3)))/((1+x**2)*(x-1)**2))] }
-
-
-
-def A047416():
- x = SR.var('x')
- return { 'ogf': [(((x**2*(1+x))*(1+x+(2*x**3)))/((1-x)**2*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A047417():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+(2*x**3)+(2*x**4)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047418():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2+(2*x**3)+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047419():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x**4)+x**2+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047420():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**2+(2*x**4)))/((1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047421():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+x**4+x**5+(2*x**6)))/((1-x-x**7)+x**8))] }
-
-
-
-def A047422():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+x**4+x**5+(2*x**6)))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047423():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(((((2*x**4)-x**3)+(2*x**2))-x)+2))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047424():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((2-x)+(2*x**2))-x**3)+(2*x**4)))/((1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047425():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+x**2+x**3+(2*x**4)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047426():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+x**2+x**3+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047427():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+x**3+x**4+(2*x**5)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047428():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+x**2+x**3+x**4+(2*x**5)))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047429():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x+x**2+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047430():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+x+x**2+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047431():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-x**2)+(2*x**3)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047432():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(((2*x**3)-x**2)+(2*x)+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047433():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2+x**3+(2*x**4)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047434():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+x**2+x**3+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047435():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((x**2-x)+1)*((2*x**2)+x+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047436():
- x = SR.var('x')
- return { 'ogf': [((x*(5+x+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047437():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+x+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047438():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047439():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)+x**2+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047440():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+x**2+(2*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047441():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(3*x)+x**2+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047442():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+1)*((2*x**2)+x+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047443():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(((2*x**2)-x)+3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047444():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3-x)+(2*x**2)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047445():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)+x**3+(2*x**4)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047446():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(2*x**2)+x**3+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047447():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)+x**3+(2*x**4)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047448():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(2*x**2)+x**3+(2*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047449():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(2*x**3)+x**4+(2*x**5)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047450():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+(2*x**3)+x**4+(2*x**5)))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A047451():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(3+x))/((1+x)*(x-1)**2))] }
-
-
-
-def A047452():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047453():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**3+(4*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047454():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+(4*x**4)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047455():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+(4*x**3)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047456():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2+(4*x**3)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047457():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(4*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A047458():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x+(4*x**2)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047459():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+(4*x**3)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047460():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+x**2+(4*x**3)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047461():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(4*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A047462():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)+(4*x**2)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047463():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x+(2*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A047464():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+x+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047465():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+(4*x**3)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047466():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)+(4*x**3)))/((1+x)*(1+x**2)*(1-x)**2))] }
-
-
-
-def A047467():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+(3*x)))/((1-x)**2*(1+x)))] }
-
-
-
-def A047468():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(6*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A047469():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(6*x**2)))/((1-x)*(1-x**3)))] }
-
-
-
-def A047470():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+(5*x**2))/((1-x)*(1-x**2)))] }
-
-
-
-def A047471():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(5*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A047472():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(5*x**2)))/((1-x-x**3)+x**4))] }
-
-
-
-def A047473():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(5*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047474():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(5*x**2)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047475():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(5*x**3)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047476():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+(5*x**3)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047477():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+(2*x)+x**2))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047478():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(2*x**2)+x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047479():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)+(2*x**2)+x**3))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047480():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+x+2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047481():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2))/((1-x)**2*(1+x**2)))] }
-
-
-
-def A047482():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)+(2*x**3)+x**4))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047483():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(3*x**2)+(2*x**3)+x**4))/((1-x)**2*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A047484():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+(2*x**2)+x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047485():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)+(2*x**2)+x**3))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047486():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+1)*(1+x)**2)/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047487():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)+(2*x**3)+x**4))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A047488():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(2*x**2)+(2*x**3)+x**4))/((1-x)**2*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A047489():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**4+x**3+x**2+1))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A047494():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+(2*x**3)+x**2+(3*x)+1))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A047496():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*(x**3+x**2+2))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A047498():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**5+(2*x**4)+x**3+(2*x**2)+x+1))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A047500():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+(2*x**3)+x**2+x+3))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A047501():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2-x)+1)*(1+x)**3)/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047520():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1))/((x-1)**3*((2*x)-1)))] }
-
-
-
-def A047521():
- x = SR.var('x')
- return { 'ogf': [((x**2*(7+x))/((1+x)*(x-1)**2))] }
-
-
-
-def A047522():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A047523():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(6*x)+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047524():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(5*x)+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A047527():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(5*x**2)+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047530():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(4*x**2)+x**3))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047538():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((1+x**2)*((1-(2*x))+x**2)))] }
-
-
-
-def A047546():
- x = SR.var('x')
- return { 'ogf': [((x*((2-x)+(2*x**2)+x**3))/((1+x**2)*(x-1)**2))] }
-
-
-
-def A047551():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(5*x)+x**2+x**3))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047556():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+3))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047557():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+x**2))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047566():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x+x**2+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A047573():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**6+x**5+x**4+x**3+(2*x**2)+x+1))/((x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A047578():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((x**2-x)+2))/((1+x**2)*(x-1)**2))] }
-
-
-
-def A047584():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2+x**4))/((1-x)**2*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A047588():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**4)*(1-x**6))/((1-x)**2*(1-x**3)*(1-x**7)))] }
-
-
-
-def A047589():
- x = SR.var('x')
- return { 'ogf': [((x*(6+x+x**2))/((1-x)**2*(1+x)))] }
-
-
-
-def A047592():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x**2)*(1+x**4))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A047594():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+x**2+x**3+x**4+x**5+x**6))/((1-x)**2*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A047596():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+x**3+(3*x**4)))/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A047599():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3-(2*x))+(3*x**2)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047600():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+x**3+(3*x**4)))/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A047605():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2-x)+(3*x**2)))/((1-x)**2*(1+x**2)))] }
-
-
-
-def A047606():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+(2*x**3)+(3*x**4)))/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A047607():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3*x**4)+(2*x**3)+x**2+x+1))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A047610():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x))*(1+x**2))/((1-x-x**3)+x**4))] }
-
-
-
-def A047612():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+x**2+(3*x**3)))/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A047613():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+x**3+(3*x**4)))/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A047618():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(3*x)+(3*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A047620():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x**2)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A047621():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A047622():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)+(3*x**2)))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A047623():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)+(3*x**3)))/((1-x-x**3)+x**4))] }
-
-
-
-def A047624():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(2*x**2)+(3*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A047659():
- x = SR.var('x')
- return { 'ogf': [((4*((9*x**4)+(35*x**3)+(49*x**2)+(21*x)+6)*x**4)/((1-x)**7*(1+x)**2))] }
-
-
-
-def A047665():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt(((1-(6*x))+x**2)))-(1/(1-x)))/2)] }
-
-
-
-def A047668():
- x = SR.var('x')
- return { 'ogf': [((x*((((4-(3*x))+(7*x**2))-x**3)+x**4))/(1-x)**5)] }
-
-
-
-def A047670():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((x**6-x**5)+(16*x**4))-(10*x**3))+(25*x**2))-(5*x))+6))/(x-1)**7))] }
-
-
-
-def A047707():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((36*x**2)-(4*x)-1))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((8*x)-1))))] }
-
-
-
-def A047732():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x**2))-x**3)/(1-x)**4)] }
-
-
-
-def A047749():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((2*sin((asin(((3*sqrt(3)*x)/2))/3)))/sqrt(3))))] }
-
-
-
-def A047780():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(8*x**2)+(16*x**3)+(2*x**4)))/(1-x)**7)] }
-
-
-
-def A047781():
- x = SR.var('x')
- return { 'ogf': [((((1+x)/sqrt(((1-(6*x))+x**2)))-1)/4)] }
-
-
-
-def A047819():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(20*x**2)+(10*x**3)+x**4)/(1-x)**10)] }
-
-
-
-def A047835():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**8+(52*x**7)+(658*x**6)+(2890*x**5)+(4810*x**4)+(2890*x**3)+(658*x**2)+(52*x)+1))/(1-x)**17)] }
-
-
-
-def A047837():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((((x**15-(3*x**14))+(3*x**13))-(5*x**12))+(5*x**11))-(9*x**10))+(7*x**9))-(10*x**8))+(7*x**7))-(9*x**6))+(5*x**5))-(6*x**4))+(2*x**3))-(3*x**2)-1))/((x-1)**4*((x**2-x)+1)*(x**2+1)*(x**2+x+1)**2*((x**4-x**2)+1))))] }
-
-
-
-def A047838():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x+x**2)-x**3))/((1-x)**3*(1+x)))] }
-
-
-
-def A047849():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A047850():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A047851():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(7*x))+(6*x**2)))] }
-
-
-
-def A047852():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(8*x))+(7*x**2)))] }
-
-
-
-def A047853():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(9*x))+(8*x**2)))] }
-
-
-
-def A047854():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A047855():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(11*x))+(10*x**2)))] }
-
-
-
-def A047856():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A047866():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+(2*x**2))-x**3)+(3*x**4))-(2*x**5))+(3*x**6)))/((1-x)**4*(1+x)*(1+x**2)*(1+x**4)))] }
-
-
-
-def A047873():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((((x**15-(3*x**14))+(3*x**13))-(5*x**12))+(5*x**11))-(9*x**10))+(7*x**9))-(10*x**8))+(7*x**7))-(9*x**6))+(5*x**5))-(6*x**4))+(2*x**3))-(3*x**2)-1))/((x-1)**4*((x**2-x)+1)*(x**2+1)*(x**2+x+1)**2*((x**4-x**2)+1))))] }
-
-
-
-def A047878():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**4)-(2*x**3)-x**2-x)+3))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A047879():
- x = SR.var('x')
- return { 'ogf': [((2*x*((x**10+(3*x**9))-x**8-(4*x**7)-(5*x**6)-(4*x**5)-(2*x**3)-(4*x**2)-(5*x)-5))/((x-1)**3*(x+1)**2*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A047891():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt(((1-(8*x))+(4*x**2))))/2)] }
-
-
-
-def A047926():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-x)**2*(1-(3*x))))] }
-
-
-
-def A047927():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**3*(1+(3*x)))/(x-1)**5))] }
-
-
-
-def A047946():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x)-(2*x**2))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A048328():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+x)/((1-(4*x**2))+(3*x**4)))] }
-
-
-
-def A048329():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((x-1)*((4*x**3)-1)*(1+x+x**2)))] }
-
-
-
-def A048330():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)))/((x-1)*(1+x)*(x**2+1)*((5*x**4)-1)))] }
-
-
-
-def A048331():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)))/((x-1)*(x**4+x**3+x**2+x+1)*((6*x**5)-1)))] }
-
-
-
-def A048334():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)+(6*x**5)+(7*x**6)+(8*x**7)))/((x-1)*(1+x)*(x**2+1)*((3*x**4)-1)*((3*x**4)+1)*(x**4+1)))] }
-
-
-
-def A048345():
- x = SR.var('x')
- return { 'ogf': [(((10*x)+(320*x**2))/(1-(10*x**2)))] }
-
-
-
-def A048396():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+x)*(3+(14*x)+(3*x**2)))/(1-x)**6)] }
-
-
-
-def A048397():
- x = SR.var('x')
- return { 'ogf': [(((119*x)+(2152*x**2)+(7819*x**3)+(7800*x**4)+(2141*x**5)+(128*x**6)+x**7)/(x-1)**8)] }
-
-
-
-def A048467():
- x = SR.var('x')
- return { 'ogf': [(((-(9*x**2))+(3*x)+1)/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A048470():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(5*x**3))-(7*x**2))+(4*x))/(((2*x)-1)**2*(x-1)**3))] }
-
-
-
-def A048473():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(3*x))*(1-x)))] }
-
-
-
-def A048474():
- x = SR.var('x')
- return { 'ogf': [((((-x**2)+x)-1)/((x-1)*((2*x)-1)**2))] }
-
-
-
-def A048477():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(2*x**2))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A048481():
- x = SR.var('x')
- return { 'ogf': [((((4*x**2)-(3*x))+1)/((x-1)**2*((2*x)-1)**2))] }
-
-
-
-def A048482():
- x = SR.var('x')
- return { 'ogf': [(-(((((8*x**3)-(10*x**2))+(4*x))-1)/((x-1)*((2*x)-1)**3)))] }
-
-
-
-def A048487():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A048488():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A048490():
- x = SR.var('x')
- return { 'ogf': [(((6*x)+1)/((x-1)*((2*x)-1)))] }
-
-
-
-def A048491():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A048492():
- x = SR.var('x')
- return { 'ogf': [((((2*x**2)-(2*x))+1)/((x-1)**3*((2*x)-1)))] }
-
-
-
-def A048493():
- x = SR.var('x')
- return { 'ogf': [(-(((((4*x**3)-(5*x**2))+(3*x))-1)/((x-1)**2*((2*x)-1)**2)))] }
-
-
-
-def A048495():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**2)-(3*x))+1)/((x-1)*((2*x)-1)**2)))] }
-
-
-
-def A048496():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(5*x**2))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A048497():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(6*x**2))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A048498():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(3*x))-(7*x**2))/(((-1)+x)*((-1)+(2*x))**2))] }
-
-
-
-def A048503():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(6*x**2))-(2*x**3))/((1-x)**3*(1-(2*x))**2))] }
-
-
-
-def A048504():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(4*x**4))+(16*x**3))-(16*x**2))+(6*x))/((x-1)**2*((2*x)-1)**3))] }
-
-
-
-def A048506():
- x = SR.var('x')
- return { 'ogf': [(-(((((8*x**3)-(11*x**2))+(5*x))-1)/((x-1)*((2*x)-1)**3)))] }
-
-
-
-def A048507():
- x = SR.var('x')
- return { 'ogf': [((((16*x**3)-(17*x**2))+(3*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A048508():
- x = SR.var('x')
- return { 'ogf': [((((40*x**3)-(43*x**2))+(10*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A048509():
- x = SR.var('x')
- return { 'ogf': [((((72*x**3)-(77*x**2))+(19*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A048510():
- x = SR.var('x')
- return { 'ogf': [((((112*x**3)-(119*x**2))+(30*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A048511():
- x = SR.var('x')
- return { 'ogf': [((((160*x**3)-(169*x**2))+(43*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A048512():
- x = SR.var('x')
- return { 'ogf': [((((216*x**3)-(227*x**2))+(58*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A048513():
- x = SR.var('x')
- return { 'ogf': [((((280*x**3)-(293*x**2))+(75*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A048514():
- x = SR.var('x')
- return { 'ogf': [(((((((8*x**5)-(37*x**4))+(46*x**3))-(25*x**2))+(7*x))-1)/((x-1)**4*((2*x)-1)**3))] }
-
-
-
-def A048515():
- x = SR.var('x')
- return { 'ogf': [(-(((((((8*x**5)-(43*x**4))+(53*x**3))-(23*x**2))+(4*x))-1)/((x-1)**3*((2*x)-1)**3)))] }
-
-
-
-def A048573():
- x = SR.var('x')
- return { 'ogf': [((2+x)/(1-x-(2*x**2)))] }
-
-
-
-def A048575():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-(3*x))+x**2))] }
-
-
-
-def A048577():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x)-(2*x**2))/((1-x)*(1-x-x**2)))] }
-
-
-
-def A048580():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A048635():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(((8*x**2)-(16*x))+7))/((x-1)*((2*x)-1)*(((2*x**2)-x)+1)))] }
-
-
-
-def A048654():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(2*x)-x**2))] }
-
-
-
-def A048655():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(2*x)-x**2))] }
-
-
-
-def A048693():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(2*x)-x**2))] }
-
-
-
-def A048694():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-(2*x)-x**2))] }
-
-
-
-def A048695():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-(2*x)-x**2))] }
-
-
-
-def A048696():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-(2*x)-x**2))] }
-
-
-
-def A048697():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-(2*x)-x**2))] }
-
-
-
-def A048745():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A048746():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-x)*(1-(2*x)-x**2)))] }
-
-
-
-def A048755():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A048759():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((((2*x**5)+x**4)-(6*x**3)-(3*x**2))+(6*x)+6))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A048770():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-x)*(1-(2*x)-x**2)))] }
-
-
-
-def A048771():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A048772():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A048773():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A048775():
- x = SR.var('x')
- return { 'ogf': [(((1/(2*x))*((1/sqrt((1-(4*x))))-1))-(1/(1-x)**2))] }
-
-
-
-def A048776():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((x**2+(2*x))-1)*(x-1)**2)))] }
-
-
-
-def A048777():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)**2*(1-(2*x)-x**2)))] }
-
-
-
-def A048778():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x))/(((x**2+(2*x))-1)*(x-1)**2))] }
-
-
-
-def A048788():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**2))/((1-(4*x**2))+x**4))] }
-
-
-
-def A048875():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(4*x)-x**2))] }
-
-
-
-def A048876():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(4*x)-x**2))] }
-
-
-
-def A048877():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(4*x)-x**2))] }
-
-
-
-def A048878():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-(4*x)-x**2))] }
-
-
-
-def A048879():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-(4*x)-x**2))] }
-
-
-
-def A048901():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(76*x)+(5*x**2)))/((x-1)*((x**2-(322*x))+1)))] }
-
-
-
-def A048902():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(102*x))+(5*x**2)))/((x-1)*((x**2-(322*x))+1))))] }
-
-
-
-def A048903():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(18088*x)+(55*x**2)))/((1-x)*((1-(103682*x))+x**2)))] }
-
-
-
-def A048904():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(138*x)+(7*x**2)))/((x-1)*((x**2-(482*x))+1)))] }
-
-
-
-def A048905():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(168*x))+(7*x**2)))/((x-1)*((x**2-(482*x))+1))))] }
-
-
-
-def A048906():
- x = SR.var('x')
- return { 'ogf': [((x*((-(133*x**2))-(64722*x)-1))/(((x**3-(232323*x**2))+(232323*x))-1))] }
-
-
-
-def A048907():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+x**2)/((1-x)*((1-(16*x))+x**2)))] }
-
-
-
-def A048909():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(70*x)+x**2))/((1-x)*((1-(254*x))+x**2)))] }
-
-
-
-def A048915():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(650*x)+(34505798*x**2)+(1210450*x**3)+(2301*x**4)))/((1-x)*((1-(12098*x))+x**2)*(1+(12098*x)+x**2)))] }
-
-
-
-def A048916():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(9*x))-(25499*x**2))+(2295*x**3)+(154*x**4)))/((x-1)*((x**2-(254*x))+1)*(x**2+(254*x)+1))))] }
-
-
-
-def A048917():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(12*x))+(12902*x**2)+(3036*x**3)+(203*x**4)))/((x-1)*((x**2-(254*x))+1)*(x**2+(254*x)+1)))] }
-
-
-
-def A048918():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(324*x)+(1168173106*x**2)+(20902860*x**3)+(82621*x**4)))/((1-x)*((1-(64514*x))+x**2)*(1+(64514*x)+x**2)))] }
-
-
-
-def A048919():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(55*x))+(4*x**2)))/((x-1)*((x**2-(142*x))+1))))] }
-
-
-
-def A048920():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(39*x)-(4*x**2)))/((1-x)*((1-(142*x))+x**2)))] }
-
-
-
-def A048921():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6721*x)+(46*x**2)))/((1-x)*((1-(20162*x))+x**2)))] }
-
-
-
-def A048922():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(250*x))+(9*x**2)))/((x-1)*((x**2-(674*x))+1))))] }
-
-
-
-def A048923():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(216*x)+(9*x**2)))/((x-1)*((x**2-(674*x))+1)))] }
-
-
-
-def A048924():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(176850*x)+(261*x**2)))/((1-x)*((1-(454274*x))+x**2)))] }
-
-
-
-def A048965():
- x = SR.var('x')
- return { 'ogf': [((1-(1-(16*x))**(1/4))/((5*(1-(16*x))**(1/4))-1))] }
-
-
-
-def A049016():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**5-x**5))] }
-
-
-
-def A049017():
- x = SR.var('x')
- return { 'ogf': [(1/(((((((1-(7*x))+(21*x**2))-(35*x**3))+(35*x**4))-(21*x**5))+(7*x**6))-(2*x**7)))] }
-
-
-
-def A049027():
- x = SR.var('x')
- return { 'ogf': [(2/(3-(1/sqrt((1-(4*x))))))] }
-
-
-
-def A049028():
- x = SR.var('x')
- return { 'ogf': [((1-(1-(9*x))**(1/3))/((4*(1-(9*x))**(1/3))-1))] }
-
-
-
-def A049031():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(1+(2*x)+(3*x**2)+(4*x**3)+(7*x**4)+(4*x**5)+(3*x**6)+(2*x**7)+x**8))/((1+x)**3*(1+x**2)**3*(1-x)**5))] }
-
-
-
-def A049072():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))+(4*x**2)))] }
-
-
-
-def A049086():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(5*x))+(3*x**2))-x**3))] }
-
-
-
-def A049112():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+x**2+x**3)-x**4-(2*x**5))/((1-(2*x))+x**5))] }
-
-
-
-def A049114():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+x**2)-x**3)+x**4)/(((1-(2*x)-(2*x**2))+(4*x**3))-x**5))] }
-
-
-
-def A049219():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)**2*(1-(2*x))))/(((1-(5*x))+(7*x**2))-(4*x**3)))] }
-
-
-
-def A049221():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)**2*((1-(3*x))+x**2)))/(((1-(5*x))+(7*x**2))-(4*x**3)))] }
-
-
-
-def A049222():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1-x))/(((1-(5*x))+(7*x**2))-(4*x**3)))] }
-
-
-
-def A049293():
- x = SR.var('x')
- return { 'ogf': [((2*(2-(7*x)))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(6*x))))] }
-
-
-
-def A049294():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-x)*(1-(2*x))*(1-(6*x))))] }
-
-
-
-def A049295():
- x = SR.var('x')
- return { 'ogf': [((((264*x**3)+(116*x**2))-(34*x)-1)/((x-1)*((2*x)-1)*((4*x)-1)*((6*x)-1)*((24*x)-1)))] }
-
-
-
-def A049332():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x**2))/((1-x)*(1+x)*(1-(2*x))))] }
-
-
-
-def A049347():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x+x**2)),
-((1-x)/(1-x**3)),
-(1/(1+(x/(1-(x/(1+x))))))] }
-
-
-
-def A049348():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(3*x**2)))/(1-x-(3*x**2)-(3*x**3)))] }
-
-
-
-def A049349():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(16*x**2)+(16*x**3)))/(1-x-(6*x**2)-(16*x**3)-(16*x**4)))] }
-
-
-
-def A049380():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(-(2/5))] }
-
-
-
-def A049381():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(-(3/5))] }
-
-
-
-def A049382():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(-(4/5))] }
-
-
-
-def A049390():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(4/5)] }
-
-
-
-def A049391():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(3/5)] }
-
-
-
-def A049392():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(2/5)] }
-
-
-
-def A049393():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(1/5)] }
-
-
-
-def A049394():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(-(6/5))] }
-
-
-
-def A049395():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(-(7/5))] }
-
-
-
-def A049396():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(-(8/5))] }
-
-
-
-def A049397():
- x = SR.var('x')
- return { 'ogf': [(1-(25*x))**(-(9/5))] }
-
-
-
-def A049451():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+x))/(1-x)**3)] }
-
-
-
-def A049452():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(7*x)))/(1-x)**3)] }
-
-
-
-def A049453():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(5*x)))/(1-x)**3)] }
-
-
-
-def A049480():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3+1))/(x-1)**4)] }
-
-
-
-def A049486():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5-x**4)+(3*x**3)+(2*x**2)+(2*x)+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A049548():
- x = SR.var('x')
- return { 'ogf': [((x*((((32*x**10)+(16*x**9))-(12*x**8)-(12*x**7)-(17*x**6)-x**4-(6*x**3)-(2*x**2))+(2*x)+1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)))] }
-
-
-
-def A049598():
- x = SR.var('x')
- return { 'ogf': [((12*x)/(1-x)**3)] }
-
-
-
-def A049601():
- x = SR.var('x')
- return { 'ogf': [(((-x**3)+(2*x**2))/(((1+x)-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A049602():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1+x)-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A049610():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x))/(1-(2*x))**2)] }
-
-
-
-def A049611():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/(1-(2*x))**3)] }
-
-
-
-def A049612():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**3)/(1-(2*x))**4)] }
-
-
-
-def A049629():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(18*x))+x**2))] }
-
-
-
-def A049651():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1))/((x-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A049652():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A049657():
- x = SR.var('x')
- return { 'ogf': [(((29*x)+x**2)/(((1-(48*x))+(48*x**2))-x**3))] }
-
-
-
-def A049658():
- x = SR.var('x')
- return { 'ogf': [((1+(29*x))/(((1-(48*x))+(48*x**2))-x**3))] }
-
-
-
-def A049660():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(18*x))+x**2))] }
-
-
-
-def A049661():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((1-x)*((1-(18*x))+x**2)))] }
-
-
-
-def A049666():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x)-x**2))] }
-
-
-
-def A049667():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(29*x)-x**2))] }
-
-
-
-def A049668():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(47*x))+x**2))] }
-
-
-
-def A049669():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(76*x)-x**2))] }
-
-
-
-def A049670():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(123*x))+x**2))] }
-
-
-
-def A049675():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/(((x**2+(4*x))-1)*((x**2+x)-1))))] }
-
-
-
-def A049676():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(47*x))+x**2))] }
-
-
-
-def A049677():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x))/((1-(47*x))+x**2))] }
-
-
-
-def A049678():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(47*x))+x**2))] }
-
-
-
-def A049679():
- x = SR.var('x')
- return { 'ogf': [((6-x)/((1-(47*x))+x**2))] }
-
-
-
-def A049681():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(2*x))+(2*x**2)))/(((x**2+x)-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A049682():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x))/((x-1)*((x**2-(47*x))+1))))] }
-
-
-
-def A049683():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(18*x))+x**2)))] }
-
-
-
-def A049684():
- x = SR.var('x')
- return { 'ogf': [((x+x**2)/((1-x)*((1-(7*x))+x**2)))] }
-
-
-
-def A049685():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(7*x))+x**2))] }
-
-
-
-def A049686():
- x = SR.var('x')
- return { 'ogf': [((7*x)/((1-(47*x))+x**2))] }
-
-
-
-def A049775():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((-2)+(5*x)))/(((4*x)-1)*((2*x)-1))))] }
-
-
-
-def A049856():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x))/(((1-(2*x))+x**3)-x**4))] }
-
-
-
-def A049858():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*(1+x))/((((-1)+(2*x))-x**3)+x**4))] }
-
-
-
-def A049863():
- x = SR.var('x')
- return { 'ogf': [(((x**3+(2*x**2))-(3*x))/(((x**4-x**3)+(2*x))-1))] }
-
-
-
-def A049864():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x)**2)/(((1-(2*x))+x**3)-x**4))] }
-
-
-
-def A049868():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x**2))+x**3)/(((1-(2*x))+x**3)-x**4))] }
-
-
-
-def A049871():
- x = SR.var('x')
- return { 'ogf': [(((x**3-(3*x**2))+x+1)/((((-x**4)+x**3)-(2*x))+1))] }
-
-
-
-def A050147():
- x = SR.var('x')
- return { 'ogf': [(x*(((((-x**2)+(4*x)+1)/(2*sqrt(((x**2-(6*x))+1))))-(x/2))+(1/2)))] }
-
-
-
-def A050151():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))/sqrt(((1-(6*x))+x**2)))-1)/(4*x))] }
-
-
-
-def A050152():
- x = SR.var('x')
- return { 'ogf': [((((((x*sqrt(((x**2-(6*x))+1)))-x**2)+(3*x))/(((((-x**4)+(sqrt(((x**2-(6*x))+1))*((x**3-(3*x**2)-(3*x))+1))+(6*x**3))-(2*x**2))+(6*x))-1))+(1/(4*x)))-(1/(4*x**2)))] }
-
-
-
-def A050168():
- x = SR.var('x')
- return { 'ogf': [(((1+x)/(2*x))*(sqrt(((1+(2*x))/(1-(2*x))))-1))] }
-
-
-
-def A050187():
- x = SR.var('x')
- return { 'ogf': [((x**3*(3+x))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A050231():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-(2*x))*(1-x-x**2-x**3)))] }
-
-
-
-def A050232():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-(2*x))*(1-x-x**2-x**3-x**4)))] }
-
-
-
-def A050233():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-(2*x))*(1-x-x**2-x**3-x**4-x**5)))] }
-
-
-
-def A050250():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+x))/((1-x)*(1-(10*x**2))))] }
-
-
-
-def A050253():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-sqrt((1-(2*x**2)-(4*x**3)-(3*x**4))))/(2*x**3))] }
-
-
-
-def A050400():
- x = SR.var('x')
- return { 'ogf': [(((5+x**4)-(12*x**3)-(24*x**2)-(4*x))/((1+x)*((x**4-(6*x**2)-(2*x))+1)))] }
-
-
-
-def A050401():
- x = SR.var('x')
- return { 'ogf': [(-((((((5*x**7)+(8*x**6))-(75*x**5)-(56*x**4))+(135*x**3)+(120*x**2)+(7*x))-8)/((x+1)*(x**2-(2*x)-1)*(((x**5-(4*x**4)-(5*x**3))+(9*x**2)+(4*x))-1))))] }
-
-
-
-def A050402():
- x = SR.var('x')
- return { 'ogf': [(-((((x**5+(17*x**4))-(20*x**3)-(72*x**2)-(13*x))+7)/((x+1)*(x**2-(2*x)-1)*((x**3-x**2-(5*x))+1))))] }
-
-
-
-def A050403():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-x)**7)] }
-
-
-
-def A050404():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-x)**7)] }
-
-
-
-def A050405():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x)**7)] }
-
-
-
-def A050406():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-x)**7)] }
-
-
-
-def A050407():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(3*x**2)))/(1-x)**4)] }
-
-
-
-def A050408():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(109*x**2))/(x-1)**3)] }
-
-
-
-def A050409():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(9*x)))/(1-x)**4)] }
-
-
-
-def A050410():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(4*x**2)))/(1-x)**4)] }
-
-
-
-def A050441():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)))/(1-x)**4)] }
-
-
-
-def A050442():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+x+(3*x**2)+x**3))/(1-x)**4/(1+x)**3)] }
-
-
-
-def A050443():
- x = SR.var('x')
- return { 'ogf': [((4-x**3)/(1-x**3-x**4))] }
-
-
-
-def A050483():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-x)**8)] }
-
-
-
-def A050484():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-x)**8)] }
-
-
-
-def A050486():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x)**8)] }
-
-
-
-def A050488():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A050492():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+(13*x**2)))/((((1-(4*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A050494():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x)**8)] }
-
-
-
-def A050509():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(2*x**2))/(1-x)**4)] }
-
-
-
-def A050511():
- x = SR.var('x')
- return { 'ogf': [((sqrt((((5*x)+1)/(x+1)))-1)/(2*x*(x+1)))] }
-
-
-
-def A050531():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**4+(2*x**3)+x**2+1)/((x**3-1)**2*(x**2-1)**2*(x-1)**2))] }
-
-
-
-def A050532():
- x = SR.var('x')
- return { 'ogf': [(((((4*x**11)+(4*x**10)+(11*x**9)+(15*x**8)+(9*x**7)+(12*x**6)+(6*x**5)+(6*x**4)+(3*x**3)+(2*x**2))-x)+1)/((x**4-1)**2*(x**3-1)**3*(x**2-1)**2*(x-1)**3))] }
-
-
-
-def A050533():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(2*x)+x**2))/(1-x)**4)] }
-
-
-
-def A050534():
- x = SR.var('x')
- return { 'ogf': [((3*x**3)/(1-x)**5)] }
-
-
-
-def A050621():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-(6*x)))/((1-(2*x))*(1-(10*x))))] }
-
-
-
-def A050683():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+x))/(1-(10*x**2)))] }
-
-
-
-def A050685():
- x = SR.var('x')
- return { 'ogf': [((-(9*x**2*(x+1)))/((x-1)*((3*x)-1)*((3*x)+1)*((10*x**2)-1)))] }
-
-
-
-def A050686():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x+1)**2)/(((3*x)-1)*((3*x)+1)*((10*x**2)-1))))] }
-
-
-
-def A050720():
- x = SR.var('x')
- return { 'ogf': [((9*x**3*(x+1))/(((3*x)-1)*((3*x)+1)*((10*x**2)-1)))] }
-
-
-
-def A050914():
- x = SR.var('x')
- return { 'ogf': [(-((((6*x**2)-(3*x))+1)/((x-1)*((3*x)-1)**2)))] }
-
-
-
-def A050915():
- x = SR.var('x')
- return { 'ogf': [(-((((12*x**2)-(4*x))+1)/((x-1)*((4*x)-1)**2)))] }
-
-
-
-def A050916():
- x = SR.var('x')
- return { 'ogf': [(-((((20*x**2)-(5*x))+1)/((x-1)*((5*x)-1)**2)))] }
-
-
-
-def A050917():
- x = SR.var('x')
- return { 'ogf': [(-((((30*x**2)-(6*x))+1)/((x-1)*((6*x)-1)**2)))] }
-
-
-
-def A050919():
- x = SR.var('x')
- return { 'ogf': [(-((((42*x**2)-(7*x))+1)/((x-1)*((7*x)-1)**2)))] }
-
-
-
-def A050927():
- x = SR.var('x')
- return { 'ogf': [((x**10+(3*x**8)+(10*x**7)+(16*x**6)+(12*x**5)+(16*x**4)+(10*x**3)+(3*x**2)+1)/((1-x**3)**3*(1-x**2)**4*(1-x)**2))] }
-
-
-
-def A050929():
- x = SR.var('x')
- return { 'ogf': [(((((x**26-x**25)+(4*x**24)+(18*x**23)+(63*x**22)+(151*x**21)+(402*x**20)+(790*x**19)+(1511*x**18)+(2353*x**17)+(3400*x**16)+(4296*x**15)+(5115*x**14)+(5266*x**13)+(5115*x**12)+(4296*x**11)+(3400*x**10)+(2353*x**9)+(1511*x**8)+(790*x**7)+(402*x**6)+(151*x**5)+(63*x**4)+(18*x**3)+(4*x**2))-x)+1)/((x**4-1)**4*(x**3-1)**5*(x**2-1)**4*(x-1)**3))] }
-
-
-
-def A050930():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**18)+(9*x**17)+(20*x**16)+(46*x**15)+(98*x**14)+(133*x**13)+(196*x**12)+(226*x**11)+(254*x**10)+(240*x**9)+(207*x**8)+(128*x**7)+(92*x**6)+(43*x**5)+(24*x**4)+(8*x**3)+(2*x**2))-x)+1)/((x**4-1)**3*(x**3-1)**4*(x**2-1)**3*(x-1)**2))] }
-
-
-
-def A050982():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(5*x))**6)] }
-
-
-
-def A050988():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(6*x))**7),
-(1/(1-(6*x))**7)] }
-
-
-
-def A050989():
- x = SR.var('x')
- return { 'ogf': [(x**7/(1-(7*x))**8)] }
-
-
-
-def A051039():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**5)+(4*x**4)+(2*x**3)+x**2+1))/(x-1)**2)] }
-
-
-
-def A051040():
- x = SR.var('x')
- return { 'ogf': [((x*((15*x**6)+(8*x**5)+(4*x**4)+(2*x**3)+x**2+1))/(x-1)**2)] }
-
-
-
-def A051047():
- x = SR.var('x')
- return { 'ogf': [(((((3*x**4)-(44*x**3))+(22*x**2)+(12*x))-1)/(((x**3-(15*x**2))+(15*x))-1))] }
-
-
-
-def A051048():
- x = SR.var('x')
- return { 'ogf': [((x*((((-(4*x**4))+(57*x**3))-(14*x**2)-(25*x))+2))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A051049():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x**2)*(1-(2*x))))] }
-
-
-
-def A051063():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+x+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A051109():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(5*x**2))/(1-(10*x**3)))] }
-
-
-
-def A051111():
- x = SR.var('x')
- return { 'ogf': [(x/((((x**4-(3*x**3))+(4*x**2))-(2*x))+1))] }
-
-
-
-def A051112():
- x = SR.var('x')
- return { 'ogf': [((5*(x**4*((((5-(6*x)-(1855*x**2))+(20076*x**3))-(44356*x**4)-(215280*x**5))+(759168*x**6))))/((1-(3*x))*(1-(4*x))*(1-(5*x))*(1-(6*x))*(1-(2*x))*(1-(7*x))*(1-(8*x))*(1-(9*x))*(1-(10*x))*(1-(12*x))*(1-(16*x))))] }
-
-
-
-def A051113():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*((((((((((((1.40561100029952E17*x**15)-(7.3258140662784E16*x**14)-(8.39665861452288E15*x**13))+(1.5284070825850368E16*x**12))-(4.91839133851488E15*x**11))+(7.4820316679552E14*x**10))-(4.51975065444E13*x**9)-(3.280961201664E12*x**8))+(8.8795097606E11*x**7))-(8.059700754E10*x**6))+(3.942400065E9*x**5))-(98697251*x**4))+(532770*x**3)+(26970*x**2))-(335*x)-3))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((11*x)-1)*((12*x)-1)*((13*x)-1)*((14*x)-1)*((15*x)-1)*((16*x)-1)*((17*x)-1)*((18*x)-1)*((20*x)-1)*((24*x)-1)*((32*x)-1))))] }
-
-
-
-def A051133():
- x = SR.var('x')
- return { 'ogf': [(3*x*(1-(4*x))**(-(5/2)))] }
-
-
-
-def A051170():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*((x**2-x)+1))/((x-1)**5*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A051176():
- x = SR.var('x')
- return { 'ogf': [((x**5+(2*x**4)+x**3+(2*x**2)+x)/(1-x**3)**2)] }
-
-
-
-def A051180():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((744*x**3)-(606*x**2))+(155*x))-13))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((8*x)-1)))] }
-
-
-
-def A051181():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((((64667520*x**8)-(81966960*x**7))+(42070268*x**6))-(11421992*x**5))+(1766529*x**4))-(152845*x**3))+(6317*x**2))-(33*x)-4))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((12*x)-1)*((16*x)-1))))] }
-
-
-
-def A051263():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**3)**2*(1-x**5)))] }
-
-
-
-def A051274():
- x = SR.var('x')
- return { 'ogf': [((1-x**8)/((1-x**2)*(1-x**3)*(1-x**4)))] }
-
-
-
-def A051286():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(2*x)-x**2-(2*x**3))+x**4))),
-(1/sqrt(((1+x+x**2)*((1-(3*x))+x**2))))] }
-
-
-
-def A051292():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+sqrt(((1-(2*x)-x**2-(2*x**3))+x**4)))/sqrt(((1-(2*x)-x**2-(2*x**3))+x**4)))] }
-
-
-
-def A051303():
- x = SR.var('x')
- return { 'ogf': [((x**3*((360*x**3)-(78*x**2)-x-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((8*x)-1)))] }
-
-
-
-def A051304():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((5+(365*x))-(7935*x**2))+(46885*x**3))-(191420*x**4))+(2285460*x**5))-(14380560*x**6))+(27216000*x**7)))/((x-1)*((9*x)-1)*((6*x)-1)*((7*x)-1)*((3*x)-1)*((5*x)-1)*((2*x)-1)*((12*x)-1)*((10*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1)))] }
-
-
-
-def A051360():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((((((((6*x**12)-(84*x**11))+(535*x**10))-(2058*x**9))+(5335*x**8))-(9813*x**7))+(13093*x**6))-(12698*x**5))+(8799*x**4))-(4159*x**3))+(1192*x**2))-(133*x)-16))/(x-1)**16))] }
-
-
-
-def A051361():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((2*x**4)-(12*x**3))+(27*x**2))-(29*x))+13))/(x-1)**8)] }
-
-
-
-def A051365():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((((47062848*x**7)-(42816008*x**6))+(13976678*x**5))-(2170583*x**4))+(168932*x**3))-(5672*x**2))+(2*x)+3))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((7*x)-1)*((8*x)-1)*((11*x)-1)*((12*x)-1)*((13*x)-1)*((14*x)-1)*((16*x)-1))))] }
-
-
-
-def A051375():
- x = SR.var('x')
- return { 'ogf': [((3*x**3*(3-(8*x)))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A051376():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((3+(59*x))-(692*x**2))+(1344*x**3)))/((x-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((8*x)-1)*((7*x)-1)))] }
-
-
-
-def A051406():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(8*x))+(9*x**2))/((x-1)*((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A051436():
- x = SR.var('x')
- return { 'ogf': [(-((((((39*x**7)-(20*x**6)-(39*x**5))+(14*x**4)+(17*x**3))-(5*x**2)-(3*x))+1)/((x-1)*(x+1)*((2*x)-1)*((3*x)-1)*((2*x**2)-1)*((3*x**2)-1))))] }
-
-
-
-def A051437():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(4*x**2))/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A051449():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((x**3+x)-1)*(1+x)**2)/((1+x+x**2)*((x**2+x)-1)*((x**4+x**2)-1))))] }
-
-
-
-def A051461():
- x = SR.var('x')
- return { 'ogf': [((((x**18+(4*x**17)+(19*x**16)+(30*x**15)+(47*x**14)+(97*x**13)+(128*x**12)+(113*x**11)+(186*x**10)+(161*x**9)+(97*x**8)+(108*x**7)+(98*x**6)+(27*x**5)+(23*x**4)+(13*x**3))-x)+1)/((x-1)**6*(x+1)**3*(x**2+x+1)**4*((x**2-x)+1)**2))] }
-
-
-
-def A051462():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**2+1)**2)/((x-1)**4*(x**2+x+1)))] }
-
-
-
-def A051463():
- x = SR.var('x')
- return { 'ogf': [(((((5*x**12)+(51*x**11)+(190*x**10)+(400*x**9)+(846*x**8)+(947*x**7)+(882*x**6)+(795*x**5)+(304*x**4)+(152*x**3)+(36*x**2))-x)+1)/((x-1)**6*(x**2+x+1)**4))] }
-
-
-
-def A051528():
- x = SR.var('x')
- return { 'ogf': [(((((x**12-x**9)+(2*x**8)+(2*x**4))-x)+1)/((x-1)**4*(x+1)**3*((x**2-x)+1)*(x**2+1)**2*(x**2+x+1)))] }
-
-
-
-def A051530():
- x = SR.var('x')
- return { 'ogf': [((((((((x**9+x**8)-x**7)+(5*x**6))-x**5)+x**4+(2*x**3))-x)+1)/((x-1)**4*(x+1)**2*(x**2+x+1)**2*((x**2-x)+1)))] }
-
-
-
-def A051531():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(3*x**2)+(6*x**3)+(5*x**5)+(2*x**6))/((1+x+x**2)**2*(x-1)**4))] }
-
-
-
-def A051587():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((167040*x**6)-(146736*x**5))+(48916*x**4))-(8424*x**3))+(805*x**2))-(42*x))+1))/(((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((12*x)-1)*((16*x)-1)))] }
-
-
-
-def A051588():
- x = SR.var('x')
- return { 'ogf': [((x*(((24*x**2)-(8*x))+1))/(((4*x)-1)*((5*x)-1)*((6*x)-1)*((8*x)-1)))] }
-
-
-
-def A051589():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((((((9.33561925632E14*x**14)-(1.2863091216384E15*x**13))+(7.8660691467264E14*x**12))-(2.87219252934144E14*x**11))+(7.0324589076096E13*x**10))-(1.2248067009984E13*x**9))+(1.568017231256E12*x**8))-(1.50181430252E11*x**7))+(1.0834851518E10*x**6))-(587198697*x**5))+(23594853*x**4))-(684354*x**3))+(13636*x**2))-(169*x))+1))/(((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((11*x)-1)*((12*x)-1)*((13*x)-1)*((14*x)-1)*((15*x)-1)*((16*x)-1)*((17*x)-1)*((18*x)-1)*((20*x)-1)*((24*x)-1)*((32*x)-1)))] }
-
-
-
-def A051624():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)))/(1-x)**3)] }
-
-
-
-def A051630():
- x = SR.var('x')
- return { 'ogf': [((((1+x**2)-x)+x**4)/(((x**2-x)+1)*(1+x)**2*(1+x+x**2)**2*(x-1)**4))] }
-
-
-
-def A051662():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(2*x**2))/(x-1)**4)] }
-
-
-
-def A051667():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A051673():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(5*x**2)))/(1-x)**4)] }
-
-
-
-def A051682():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)))/(1-x)**3)] }
-
-
-
-def A051708():
- x = SR.var('x')
- return { 'ogf': [((((x*(1-x))/sqrt(((1-(10*x))+(9*x**2))))+x)/2)] }
-
-
-
-def A051736():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x)+x**2)-x**3)/((1-(2*x)-(6*x**2))+x**4))] }
-
-
-
-def A051737():
- x = SR.var('x')
- return { 'ogf': [((((1+(4*x))-(4*x**3))+x**4)/(((1-(4*x)-(9*x**2))+(5*x**3)+(4*x**4))-x**5))] }
-
-
-
-def A051740():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-x)**5)] }
-
-
-
-def A051743():
- x = SR.var('x')
- return { 'ogf': [((((x**3-(3*x**2))+(3*x))-2)/(x-1)**5)] }
-
-
-
-def A051744():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(2*x))+x**2))/(1-x)**5)] }
-
-
-
-def A051745():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**4-(4*x**3))+(6*x**2))-(4*x))+2))/(x-1)**6)] }
-
-
-
-def A051746():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x)*((1-x)+x**2))/(1-x)**6)] }
-
-
-
-def A051747():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2-(2*x))+2))/(x-1)**6)] }
-
-
-
-def A051755():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**2-(2*x))+3))/(x-1)**2)] }
-
-
-
-def A051792():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+x**3+(2*x**4))/((1+x**2)-x**4))] }
-
-
-
-def A051793():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+1)*((2*x**5)+x**4+x**3+x**2+x+1))/((x**8+x**6)-x**4-x**2-1)))] }
-
-
-
-def A051794():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-x)+1)*(x**2+x+1)*((2*x**7)+x**6+x**5+x**4+x**3+x**2+x+1))/((x**12+x**10+x**8)-x**6-x**4-x**2-1)))] }
-
-
-
-def A051797():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-x)**5)] }
-
-
-
-def A051798():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x)**5)] }
-
-
-
-def A051799():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-x)**5)] }
-
-
-
-def A051836():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x)**6)] }
-
-
-
-def A051843():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/(1-x)**6)] }
-
-
-
-def A051865():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)))/(1-x)**3)] }
-
-
-
-def A051866():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(11*x)))/(1-x)**3)] }
-
-
-
-def A051867():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)))/(1-x)**3)] }
-
-
-
-def A051868():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(13*x)))/(1-x)**3)] }
-
-
-
-def A051869():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(14*x)))/(1-x)**3)] }
-
-
-
-def A051870():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)))/(1-x)**3)] }
-
-
-
-def A051871():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)))/(1-x)**3)] }
-
-
-
-def A051872():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(17*x)))/(1-x)**3)] }
-
-
-
-def A051873():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(18*x)))/(1-x)**3)] }
-
-
-
-def A051874():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(19*x)))/(1-x)**3)] }
-
-
-
-def A051875():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)))/(1-x)**3)] }
-
-
-
-def A051876():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(21*x)))/(1-x)**3)] }
-
-
-
-def A051877():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-x)**6)] }
-
-
-
-def A051878():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-x)**6)] }
-
-
-
-def A051879():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x)**6)] }
-
-
-
-def A051880():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-x)**6)] }
-
-
-
-def A051885():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+x+1)*(x**6+x**3+1))/((x-1)*((10*x**9)-1)))] }
-
-
-
-def A051890():
- x = SR.var('x')
- return { 'ogf': [((2*((1-(2*x))+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A051895():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(5*x)))/(1-x)**4)] }
-
-
-
-def A051916():
- x = SR.var('x')
- return { 'ogf': [(((3*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(6*x**3)+(5*x**2)+(4*x)+3)/(1-(2*x**4)))] }
-
-
-
-def A051923():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x)**7)] }
-
-
-
-def A051924():
- x = SR.var('x')
- return { 'ogf': [(((1-x)/sqrt((1-(4*x))))-1)] }
-
-
-
-def A051925():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3-x))/(1-x)**4)] }
-
-
-
-def A051926():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((1-(5*x)-x**2)+x**3))] }
-
-
-
-def A051927():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x)-(3*x**2))/((1-(2*x)-x**2)*(1+x)))] }
-
-
-
-def A051928():
- x = SR.var('x')
- return { 'ogf': [((4-(7*x)-(5*x**2))/((1+x)*(1-(3*x)-x**2)))] }
-
-
-
-def A051929():
- x = SR.var('x')
- return { 'ogf': [((5-(14*x)-(7*x**2))/((1+x)*(1-(4*x)-x**2)))] }
-
-
-
-def A051930():
- x = SR.var('x')
- return { 'ogf': [((6-(23*x)-(9*x**2))/((1+x)*(1-(5*x)-x**2)))] }
-
-
-
-def A051931():
- x = SR.var('x')
- return { 'ogf': [((7-(34*x)-(11*x**2))/((1+x)*(1-(6*x)-x**2)))] }
-
-
-
-def A051932():
- x = SR.var('x')
- return { 'ogf': [((((13*x**2)+(47*x))-8)/((x**3+(8*x**2)+(6*x))-1))] }
-
-
-
-def A051936():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((-1)-(3*x))+(3*x**2)))/(x-1)**3)] }
-
-
-
-def A051937():
- x = SR.var('x')
- return { 'ogf': [((x**4*((1+(3*x))-(3*x**2)))/(1-x)**4)] }
-
-
-
-def A051938():
- x = SR.var('x')
- return { 'ogf': [((x**6*((3*x**2)-x-3))/(x-1)**3)] }
-
-
-
-def A051939():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**2))+x+3)/(x-1)**4)] }
-
-
-
-def A051940():
- x = SR.var('x')
- return { 'ogf': [((x**8*(6-(3*x)-(2*x**2)))/(1-x)**3)] }
-
-
-
-def A051942():
- x = SR.var('x')
- return { 'ogf': [((x**10*(10-(9*x)))/(1-x)**3)] }
-
-
-
-def A051943():
- x = SR.var('x')
- return { 'ogf': [((x**10*(10-(9*x)))/(1-x)**4)] }
-
-
-
-def A051946():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-x)**7)] }
-
-
-
-def A051947():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-x)**7)] }
-
-
-
-def A051958():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(4*x))*(1-(6*x))))] }
-
-
-
-def A052101():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(3*x))+(3*x**2))-(3*x**3)))] }
-
-
-
-def A052141():
- x = SR.var('x')
- return { 'ogf': [((1/2)+(1/(2*((1-(12*x))+(4*x**2))**(1/2))))] }
-
-
-
-def A052149():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(2+x))/(((((1-(5*x))+(10*x**2))-(10*x**3))+(5*x**4))-x**5))] }
-
-
-
-def A052150():
- x = SR.var('x')
- return { 'ogf': [(1/((x-1)**3*((3*x)-1)))] }
-
-
-
-def A052153():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(5*x))-(4*x**2)))/(1-x)**4)] }
-
-
-
-def A052156():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(3*x)))] }
-
-
-
-def A052161():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**3*(1-(4*x))))] }
-
-
-
-def A052181():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-x)**9)] }
-
-
-
-def A052206():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x)**8)] }
-
-
-
-def A052208():
- x = SR.var('x')
- return { 'ogf': [((x**3+x)/(((1+(2*x))-x**2)*(1-(14*x)-x**2)))] }
-
-
-
-def A052209():
- x = SR.var('x')
- return { 'ogf': [(((-(4*x**2))+4)/(((1-(4*x))+x**2)*((1-(52*x))+x**2)))] }
-
-
-
-def A052226():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-x)**8)] }
-
-
-
-def A052244():
- x = SR.var('x')
- return { 'ogf': [(1/(((5*x)-1)*(x-1)**3))] }
-
-
-
-def A052245():
- x = SR.var('x')
- return { 'ogf': [(-((10*x)/((x-1)*((10*x)-1)**2)))] }
-
-
-
-def A052254():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-x)**8)] }
-
-
-
-def A052255():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-x)**9)] }
-
-
-
-def A052264():
- x = SR.var('x')
- return { 'ogf': [(((((x**68-(2*x**67))+(10*x**66)+(32*x**65)+(175*x**64)+(794*x**63)+(3441*x**62)+(13186*x**61)+(46027*x**60)+(146118*x**59)+(427347*x**58)+(1155432*x**57)+(2912873*x**56)+(6875608*x**55)+(15281029*x**54)+(32094658*x**53)+(63945531*x**52)+(121210914*x**51)+(219194198*x**50)+(378998758*x**49)+(627863648*x**48)+(998282344*x**47)+(1525746624*x**46)+(2.244502676E9*x**45)+(3.181886869E9*x**44)+(4.35120121E9*x**43)+(5.744918381E9*x**42)+(7.328807372E9*x**41)+(9.039504349E9*x**40)+(1.0785767638E10*x**39)+(1.2455264802E10*x**38)+(1.3925287384E10*x**37)+(1.5077477135E10*x**36)+(1.581278215E10*x**35)+(1.6065602576E10*x**34)+(1.581278215E10*x**33)+(1.5077477135E10*x**32)+(1.3925287384E10*x**31)+(1.2455264802E10*x**30)+(1.0785767638E10*x**29)+(9.039504349E9*x**28)+(7.328807372E9*x**27)+(5.744918381E9*x**26)+(4.35120121E9*x**25)+(3.181886869E9*x**24)+(2.244502676E9*x**23)+(1525746624*x**22)+(998282344*x**21)+(627863648*x**20)+(378998758*x**19)+(219194198*x**18)+(121210914*x**17)+(63945531*x**16)+(32094658*x**15)+(15281029*x**14)+(6875608*x**13)+(2912873*x**12)+(1155432*x**11)+(427347*x**10)+(146118*x**9)+(46027*x**8)+(13186*x**7)+(3441*x**6)+(794*x**5)+(175*x**4)+(32*x**3)+(10*x**2))-(2*x))+1)/((x**6-1)**2*(x**4+x**3+x**2+x+1)**6*(((x**3-x**2)+x)-1)**6*(x**2+x+1)**6*(x+1)**10*(x-1)**24))] }
-
-
-
-def A052266():
- x = SR.var('x')
- return { 'ogf': [((x**24+(28*x**23)+(148*x**22)+(518*x**21)+(1862*x**20)+(5096*x**19)+(11172*x**18)+(21813*x**17)+(37333*x**16)+(53936*x**15)+(68880*x**14)+(79114*x**13)+(79184*x**12)+(68880*x**11)+(53992*x**10)+(37277*x**9)+(21813*x**8)+(11144*x**7)+(5124*x**6)+(1862*x**5)+(526*x**4)+(140*x**3)+(28*x**2)+1)/((1-x**3)**8*(1-x**2)**9*(1-x)**10))] }
-
-
-
-def A052267():
- x = SR.var('x')
- return { 'ogf': [(((3*x**2)+1)/((1-x**2)**3*(1-x)**6))] }
-
-
-
-def A052365():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**10+(2*x**8)+x**7+(7*x**6))-(3*x**5))+(4*x**3)+x**2)-(2*x))+1)/((((x**4-x**3)+x)-1)*(x**3-1)**3*(x+1)**3*(x-1)**5)))] }
-
-
-
-def A052366():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((((((((((((((((((((x**34-(4*x**33))+(6*x**32))-x**31)+(3*x**30))-(11*x**29))+(33*x**28))-(19*x**27))+(81*x**26))-(52*x**25))+(152*x**24))-(36*x**23))+(255*x**22))-(130*x**21))+(367*x**20))-(84*x**19))+(350*x**18))-(94*x**17))+(350*x**16))-(84*x**15))+(367*x**14))-(130*x**13))+(255*x**12))-(36*x**11))+(152*x**10))-(52*x**9))+(81*x**8))-(19*x**7))+(33*x**6))-(11*x**5))+(3*x**4))-x**3)+(6*x**2))-(4*x))+1)/(((((x**10+x**9)-x**7-x**6)+x**4+x**3)-x-1)*(x**6-1)**2*(x**2+1)**3*(x**2-1)**4*(x**2+x+1)**2*(x+1)*(x-1)**9))] }
-
-
-
-def A052379():
- x = SR.var('x')
- return { 'ogf': [(8/((1-x)*(1-(8*x))))] }
-
-
-
-def A052386():
- x = SR.var('x')
- return { 'ogf': [((9*x)/((x-1)*((9*x)-1)))] }
-
-
-
-def A052387():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3-x**2-1))/(x-1)**8))] }
-
-
-
-def A052388():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((x**10-(5*x**9))+(10*x**8))-(14*x**7))+(21*x**6))-(19*x**5)-(5*x**4))+(21*x**3))-(10*x**2)-1))/(x-1)**16))] }
-
-
-
-def A052389():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((118224000*x**10)-(215558352*x**9))+(171543508*x**8))-(77761264*x**7))+(22230235*x**6))-(4199119*x**5))+(532266*x**4))-(44801*x**3))+(2400*x**2))-(74*x))+1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((12*x)-1)*((16*x)-1)))] }
-
-
-
-def A052390():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((14968800*x**10)-(34931250*x**9))+(36757686*x**8))-(21625925*x**7))+(7809481*x**6))-(1821016*x**5))+(279853*x**4))-(28145*x**3))+(1779*x**2))-(64*x))+1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((11*x)-1)*((15*x)-1))))] }
-
-
-
-def A052391():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((((((14968800*x**8)-(25752870*x**7))+(16968966*x**6))-(5759365*x**5))+(1095624*x**4))-(115860*x**3))+(5974*x**2))-(65*x)-4))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((11*x)-1)*((15*x)-1)))] }
-
-
-
-def A052454():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(4*x)+(17*x**2)+(4*x**3)+x**4))/((1-(38*x**3))+x**6))] }
-
-
-
-def A052460():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(42*x)+(303*x**2)+(568*x**3)+(303*x**4)+(42*x**5)+x**6))/(1-x)**8)] }
-
-
-
-def A052461():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(167*x**7)+(3386*x**6)+(17697*x**5)+(30074*x**4)+(17697*x**3)+(3386*x**2)+(167*x)+1))/(x-1)**10)] }
-
-
-
-def A052462():
- x = SR.var('x')
- return { 'ogf': [((x*((-(25*x**2))+(20*x)+4))/((1-x)*(1-(5*x))*(1+(5*x))))] }
-
-
-
-def A052463():
- x = SR.var('x')
- return { 'ogf': [((x*((-(49*x**2))+(47*x)))/((1-x)*(1-(49*x))))] }
-
-
-
-def A052465():
- x = SR.var('x')
- return { 'ogf': [((x*((-(121*x**2))+(110*x)+6))/((1-x)*(1-(121*x**2))))] }
-
-
-
-def A052466():
- x = SR.var('x')
- return { 'ogf': [((x*((-(169*x**2))+(156*x)+6))/((1-x)*(1-(13*x))*(1+(13*x))))] }
-
-
-
-def A052472():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x-2)*(((2*x**2)-(5*x))+5))/(x-1)**5)] }
-
-
-
-def A052481():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(4*x))+(8*x**2))/((2*x)-1)**3))] }
-
-
-
-def A052515():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*(3-(2*x)))/(1-x)**2/(1-(2*x)))] }
-
-
-
-def A052516():
- x = SR.var('x')
- return { 'ogf': [((2*x**6*((10-(15*x))+(6*x**2)))/(1-x)**3/(1-(2*x)))] }
-
-
-
-def A052527():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/(((1-x-x**3)+x**4)-x**2)))] }
-
-
-
-def A052528():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(2*x)-(2*x**2))+(2*x**3))))] }
-
-
-
-def A052529():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x)**3/((((-1)+(4*x))-(3*x**2))+x**3))] }
-
-
-
-def A052530():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(4*x))+x**2))] }
-
-
-
-def A052531():
- x = SR.var('x')
- return { 'ogf': [((2-(2*x)-x**2)/((x-1)*((2*x)-1)*(1+x)))] }
-
-
-
-def A052532():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(((1-x-x**4)+x**5)-x**3))] }
-
-
-
-def A052533():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-x-(3*x**2)))] }
-
-
-
-def A052534():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((x**3-x**2-(2*x))+1))] }
-
-
-
-def A052535():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**2)/(((1-(2*x**2))+x**4)-x)))] }
-
-
-
-def A052536():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(3*x))+x**3))] }
-
-
-
-def A052537():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x)/((-1)+x+(2*x**3)))] }
-
-
-
-def A052538():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(2*x)-(3*x**2))+(3*x**3))))] }
-
-
-
-def A052539():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(4*x))*(1-x)))] }
-
-
-
-def A052540():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(2*x)-x**3)+x**4)))] }
-
-
-
-def A052541():
- x = SR.var('x')
- return { 'ogf': [(-(1/((-1)+(3*x)+x**3)))] }
-
-
-
-def A052542():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(1-(2*x)-x**2))] }
-
-
-
-def A052543():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(3*x)-(2*x**2))+(2*x**3))))] }
-
-
-
-def A052544():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)**2/((((-1)+(4*x))-(3*x**2))+x**3))),
-(1/(1-x-(x/(1-x)**2)))] }
-
-
-
-def A052545():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-(3*x))+x**3))] }
-
-
-
-def A052546():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/(((1-x-(2*x**3))+(2*x**4))-x**2)))] }
-
-
-
-def A052548():
- x = SR.var('x')
- return { 'ogf': [((3-(5*x))/((1-(2*x))*(1-x)))] }
-
-
-
-def A052549():
- x = SR.var('x')
- return { 'ogf': [(-((((-x)+x**2)-1)/(((-1)+(2*x))*((-1)+x))))] }
-
-
-
-def A052550():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(2*x))/((1-(3*x)-x**2)+(2*x**3))))] }
-
-
-
-def A052551():
- x = SR.var('x')
- return { 'ogf': [(1/((-1)+(2*x**2))/((-1)+x))] }
-
-
-
-def A052552():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+x+(2*x**2))/(((-1)+(2*x**2))*((-1)+x))))] }
-
-
-
-def A052701():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(8*x))))/4)] }
-
-
-
-def A052702():
- x = SR.var('x')
- return { 'ogf': [(((1/2/x**2)*(1-x-(((1-(2*x))+x**2)-(4*x**3))**(1/2)))-((1/2/x)*(1-x-(((1-(2*x))+x**2)-(4*x**3))**(1/2)))-x),
-((((1-(2*x))+x**2)-(2*x**3)-((1-x)*sqrt((((1-(2*x))+x**2)-(4*x**3)))))/(2*x**2))] }
-
-
-
-def A052704():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(16*x))))/8)] }
-
-
-
-def A052705():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-(2*x)-(2*x**2))+sqrt((1-(4*x)-(4*x**2)))))] }
-
-
-
-def A052707():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(16*x))))/4)] }
-
-
-
-def A052709():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x)-(4*x**2))))/(2*(1+x)))] }
-
-
-
-def A052768():
- x = SR.var('x')
- return { 'ogf': [((24*x**5*((((5-(10*x))+(10*x**2))-(5*x**3))+x**4))/(1-x)**5)] }
-
-
-
-def A052780():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(1-(4*x))**3)] }
-
-
-
-def A052791():
- x = SR.var('x')
- return { 'ogf': [((6*x**3)/((3*x)-1)**4)] }
-
-
-
-def A052899():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((x-1)*(((4*x**2)+(2*x))-1)))] }
-
-
-
-def A052900():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x)/((-1)+x+(3*x**3)))] }
-
-
-
-def A052901():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(2*x)+3)/(1-x**3))] }
-
-
-
-def A052903():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**3)/((1-(2*x)-x**3)+x**4)))] }
-
-
-
-def A052904():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(2*x)-(4*x**2))+(4*x**3))))] }
-
-
-
-def A052905():
- x = SR.var('x')
- return { 'ogf': [((((-(2*x))+(2*x**2))-1)/((-1)+x)**3)] }
-
-
-
-def A052906():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(1-(3*x)-x**2))] }
-
-
-
-def A052907():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x**2)-(2*x**3)))] }
-
-
-
-def A052908():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x)*((-1)+x**3))/((1-(2*x)-x**3)+x**4))] }
-
-
-
-def A052909():
- x = SR.var('x')
- return { 'ogf': [(-((((-x)+x**2)-1)/((-1)+x)/((-1)+(3*x))))] }
-
-
-
-def A052910():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x**3)/((-1)+(2*x)+x**3))] }
-
-
-
-def A052911():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(3*x)-x**2)+(2*x**3))))] }
-
-
-
-def A052912():
- x = SR.var('x')
- return { 'ogf': [(-(1/((-1)+(2*x**3)+(2*x))))] }
-
-
-
-def A052913():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(5*x))+(2*x**2)))] }
-
-
-
-def A052914():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/(((1-x-(2*x**4))+(2*x**5))-x**3)))] }
-
-
-
-def A052915():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/(((1-x-(3*x**3))+(3*x**4))-x**2)))] }
-
-
-
-def A052916():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-x-(2*x**3))+x**4)))] }
-
-
-
-def A052917():
- x = SR.var('x')
- return { 'ogf': [(-(1/((-1)+(3*x)+x**4)))] }
-
-
-
-def A052918():
- x = SR.var('x')
- return { 'ogf': [(-(1/((-1)+(5*x)+x**2)))] }
-
-
-
-def A052919():
- x = SR.var('x')
- return { 'ogf': [(((2-(5*x))+x**2)/((-1)+(3*x))/((-1)+x))] }
-
-
-
-def A052920():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**3-x**5))] }
-
-
-
-def A052921():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x)/((((-1)+(3*x))-(2*x**2))+x**3))] }
-
-
-
-def A052922():
- x = SR.var('x')
- return { 'ogf': [(-(1/((-1)+(2*x**3)+x**4)))] }
-
-
-
-def A052923():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x)/((-1)+x+(4*x**2)))] }
-
-
-
-def A052924():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(3*x)-x**2))] }
-
-
-
-def A052925():
- x = SR.var('x')
- return { 'ogf': [(((((-2)+(6*x))-(4*x**2))+x**3)/((-1)+x)/((1-(3*x))+x**2))] }
-
-
-
-def A052926():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(4*x)-x**2)+(3*x**3)))] }
-
-
-
-def A052927():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x)-x**3))] }
-
-
-
-def A052928():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(((-1)+x)**2*(1+x)))] }
-
-
-
-def A052929():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+(3*x)+x**2)/((-1)+x**2)/((-1)+(3*x))))] }
-
-
-
-def A052930():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/(((1-x-(2*x**3))+(2*x**4))-(2*x**2))))] }
-
-
-
-def A052931():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x**2)-x**3))] }
-
-
-
-def A052932():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/(((1-(2*x))+x**5)-x**4)))] }
-
-
-
-def A052933():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**2)/(((1-(3*x**2))+(2*x**4))-x)))] }
-
-
-
-def A052934():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(6*x)))] }
-
-
-
-def A052935():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+(2*x)+x**3)/((-1)+x**3)/((-1)+(2*x))))] }
-
-
-
-def A052936():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x)*((-1)+(2*x)))/((1-(5*x))+(5*x**2))),
-((2-(3*x))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A052937():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+(3*x)+x**2)/((-1)+x)/((-1)+(2*x)+x**2)))] }
-
-
-
-def A052938():
- x = SR.var('x')
- return { 'ogf': [(-((((-(2*x))+(2*x**2))-1)/((-1)+x)/((-1)+x**2)))] }
-
-
-
-def A052939():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**2)/((1-(3*x)-x**2)+(2*x**3))))] }
-
-
-
-def A052940():
- x = SR.var('x')
- return { 'ogf': [(-((((-(2*x))+(2*x**2))-1)/((-1)+(2*x))/((-1)+x)))] }
-
-
-
-def A052941():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(4*x))+x**2+x**3)))] }
-
-
-
-def A052942():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(2*x**4)))] }
-
-
-
-def A052943():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**2)/((1-(2*x**2)-x**3)+x**5)))] }
-
-
-
-def A052944():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A052945():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x)*(1+x))/((-1)+(2*x)+(2*x**2)))] }
-
-
-
-def A052946():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)**2/((((-1)+(3*x))-(2*x**3))+x**4)))] }
-
-
-
-def A052948():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(3*x))+(2*x**3)))] }
-
-
-
-def A052949():
- x = SR.var('x')
- return { 'ogf': [(-(((2-(4*x))+x**3)/((x**3-x**2-(2*x))+1)/((-1)+x)))] }
-
-
-
-def A052950():
- x = SR.var('x')
- return { 'ogf': [(((x**3-x**2-(3*x))+2)/((-1)+(2*x))/((-1)+x**2))] }
-
-
-
-def A052951():
- x = SR.var('x')
- return { 'ogf': [(-((((-x)+(2*x**2))-1)/((-1)+(2*x))**2))] }
-
-
-
-def A052952():
- x = SR.var('x')
- return { 'ogf': [(1/(((-1)+x+x**2)*((-1)+x**2)))] }
-
-
-
-def A052953():
- x = SR.var('x')
- return { 'ogf': [(-((2*((-1)+x+x**2))/((-1)+x+(2*x**2))/((-1)+x)))] }
-
-
-
-def A052954():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+x+x**2+x**3)/((-1)+x**2+x**3)/((-1)+x)))] }
-
-
-
-def A052955():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A052956():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+(3*x)+x**2)/((-1)+x+x**2)/((-1)+(2*x))))] }
-
-
-
-def A052957():
- x = SR.var('x')
- return { 'ogf': [(-((2*((-1)+x+x**2))/((-1)+(2*x**2))/((-1)+(2*x))))] }
-
-
-
-def A052958():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(3*x)-(2*x**3))+(2*x**4)))] }
-
-
-
-def A052959():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+x+(2*x**2))/((-1)+x+x**2)/((-1)+x**2)))] }
-
-
-
-def A052960():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-(2*x)-(2*x**2))+x**3+x**4))] }
-
-
-
-def A052961():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(3*x))/((1-(5*x))+(3*x**2))))] }
-
-
-
-def A052962():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(2*x**2))/(((1-(3*x**2))+(2*x**4))-x)))] }
-
-
-
-def A052963():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x+x**2)/((1-(3*x))+x**3)))] }
-
-
-
-def A052964():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-x-(3*x**2))+(2*x**3))))] }
-
-
-
-def A052965():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(3*x)-(4*x**2))+(4*x**3))))] }
-
-
-
-def A052966():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-x-(4*x**2))+(2*x**3))))] }
-
-
-
-def A052967():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x)-x**2)+x**4))] }
-
-
-
-def A052968():
- x = SR.var('x')
- return { 'ogf': [(((((-2)+(5*x))-(3*x**2))+x**3)/((-1)+(2*x))/((-1)+x)**2)] }
-
-
-
-def A052969():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/(((1-(2*x**2))+x**4)-x)))] }
-
-
-
-def A052970():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(2*x))/((1-(2*x)-(2*x**2))+(2*x**3))))] }
-
-
-
-def A052971():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(2*x)-(2*x**3))+(2*x**4))))] }
-
-
-
-def A052972():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**3)/((1-x**3-x-x**2)+x**5)))] }
-
-
-
-def A052973():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-x-(3*x**2))+x**3)))] }
-
-
-
-def A052974():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(2*x))/(((1-(2*x)-x**3)+(2*x**4))-x**2)))] }
-
-
-
-def A052975():
- x = SR.var('x')
- return { 'ogf': [(-((((-1)+(2*x))*((-1)+x))/((((-1)+(5*x))-(6*x**2))+x**3)))] }
-
-
-
-def A052976():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(2*x))/((1-(3*x)-x**3)+(2*x**4))))] }
-
-
-
-def A052977():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**2)/((1-x**3-x-x**2)+x**5)))] }
-
-
-
-def A052978():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x)-(2*x**2))+(4*x**3)))] }
-
-
-
-def A052979():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**2)/(((1-(3*x**2))+(2*x**4))-(2*x))))] }
-
-
-
-def A052980():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-x**3))] }
-
-
-
-def A052981():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(4*x)-(3*x**2))+(3*x**3)))] }
-
-
-
-def A052982():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x)-(2*x**2))+x**4))] }
-
-
-
-def A052984():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(2*x))/((1-(5*x))+(2*x**2))))] }
-
-
-
-def A052985():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(3*x)-x**3)+x**4+x**2)))] }
-
-
-
-def A052986():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))+x**2+(2*x**3)))] }
-
-
-
-def A052987():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+(2*x**2))/((1-(2*x)-(2*x**2))+(2*x**3))))] }
-
-
-
-def A052988():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x**2)/((1-(2*x)-(2*x**2))+x**3+x**4)))] }
-
-
-
-def A052989():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-x-x**2-x**4)+x**5)))] }
-
-
-
-def A052990():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(4*x)-x**2)+(2*x**3)))] }
-
-
-
-def A052991():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+x**2)/((-1)+(3*x)+x**2))] }
-
-
-
-def A052992():
- x = SR.var('x')
- return { 'ogf': [(1/((-1)+(4*x**2))/((-1)+x))] }
-
-
-
-def A052993():
- x = SR.var('x')
- return { 'ogf': [(1/(((-1)+(3*x**2))*((-1)+x)))] }
-
-
-
-def A052994():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((-1)+x))/((x**3-x**2-(2*x))+1)))] }
-
-
-
-def A052995():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((-1)+x))/((1-(3*x))+x**2)))] }
-
-
-
-def A052996():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)-x**3)/((1-x)*(1-(2*x))))] }
-
-
-
-def A052997():
- x = SR.var('x')
- return { 'ogf': [(-((((-x)+x**3)-1)/((-1)+x**2)/((-1)+(2*x))))] }
-
-
-
-def A053088():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x**2)-(2*x**3)))] }
-
-
-
-def A053090():
- x = SR.var('x')
- return { 'ogf': [(x**3*((1+x**3)/((1-x**2)**3*(1-x**3))))] }
-
-
-
-def A053107():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x))**8)] }
-
-
-
-def A053108():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(9*x))**9)] }
-
-
-
-def A053109():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(10*x))**10)] }
-
-
-
-def A053110():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(7*x))**(-7))/(x*7**2))] }
-
-
-
-def A053111():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(8*x))**(-8))/(x*8**2))] }
-
-
-
-def A053112():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1/(1-(9*x))**9))/(81*x))] }
-
-
-
-def A053113():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(10*x))**(-10))/(x*10**2))] }
-
-
-
-def A053126():
- x = SR.var('x')
- return { 'ogf': [((5+(10*x)+x**2)/(1-x)**5)] }
-
-
-
-def A053127():
- x = SR.var('x')
- return { 'ogf': [((6+(20*x)+(6*x**2))/(1-x)**6)] }
-
-
-
-def A053128():
- x = SR.var('x')
- return { 'ogf': [((7+(35*x)+(21*x**2)+x**3)/(1-x)**7)] }
-
-
-
-def A053129():
- x = SR.var('x')
- return { 'ogf': [((8+(56*x)+(56*x**2)+(8*x**3))/(1-x)**8)] }
-
-
-
-def A053130():
- x = SR.var('x')
- return { 'ogf': [((9+(84*x)+(126*x**2)+(36*x**3)+x**4)/(1-x)**9)] }
-
-
-
-def A053131():
- x = SR.var('x')
- return { 'ogf': [((10+(120*x)+(252*x**2)+(120*x**3)+(10*x**4))/(1-x)**10)] }
-
-
-
-def A053132():
- x = SR.var('x')
- return { 'ogf': [((x**5*(3+(10*x)+(3*x**2)))/(1-x)**6)] }
-
-
-
-def A053133():
- x = SR.var('x')
- return { 'ogf': [((5+(60*x)+(126*x**2)+(60*x**3)+(5*x**4))/(1-x)**10)] }
-
-
-
-def A053134():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(5*x**2))/(1-x)**5)] }
-
-
-
-def A053135():
- x = SR.var('x')
- return { 'ogf': [((1+(21*x)+(35*x**2)+(7*x**3))/(1-x)**7)] }
-
-
-
-def A053136():
- x = SR.var('x')
- return { 'ogf': [((1+(28*x)+(70*x**2)+(28*x**3)+x**4)/(1-x)**8)] }
-
-
-
-def A053137():
- x = SR.var('x')
- return { 'ogf': [((1+(36*x)+(126*x**2)+(84*x**3)+(9*x**4))/(1-x)**9)] }
-
-
-
-def A053138():
- x = SR.var('x')
- return { 'ogf': [((1+(45*x)+(210*x**2)+(210*x**3)+(45*x**4)+x**5)/(1-x)**10)] }
-
-
-
-def A053141():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A053142():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A053151():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1-(2*x))*((-3)+x+(3*x**2)+(2*x**3)))+((1-x-x**2)*(1-(4*x**2))**(1/2))))/(2*(1+x)*(1-(2*x))*(1-x-x**2)*((-1)+x+(2*x**2)+x**3)))] }
-
-
-
-def A053152():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-(3*x)))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A053153():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((280*x**3)-(335*x**2))+(116*x))-13))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((7*x)-1))))] }
-
-
-
-def A053155():
- x = SR.var('x')
- return { 'ogf': [((x*((((((1224*x**5)-(1562*x**4))+(787*x**3))-(190*x**2))+(22*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((8*x)-1)))] }
-
-
-
-def A053156():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(3*x**2)))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A053157():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((280*x**5)-(475*x**4))+(339*x**3))-(112*x**2))+(17*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((7*x)-1))))] }
-
-
-
-def A053209():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/((1-x)*(1-(2*x))))] }
-
-
-
-def A053220():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-(2*x))**2)] }
-
-
-
-def A053221():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+x+x**2))/(((2*x)-1)**2*(x-1)**2)))] }
-
-
-
-def A053295():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((x**2+x)-1)*(x-1)**6)))] }
-
-
-
-def A053307():
- x = SR.var('x')
- return { 'ogf': [(((x**2-x)+1)/((1-x**2)**2*(1-x)**2))] }
-
-
-
-def A053309():
- x = SR.var('x')
- return { 'ogf': [(1/(((x**2+x)-1)*(x-1)**9))] }
-
-
-
-def A053310():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x)**10)] }
-
-
-
-def A053311():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A053344():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((5*x**24)-x**23-x**22-x**21-x**20)+(4*x**19))-x**18-x**17-x**16-x**15)+(3*x**14))-x**13-x**12-x**11-x**10)+(4*x**9))-x**8-x**7-x**6-x**5)+(3*x**4))-x**3-x**2-x-1))/((x-1)**2*(x**4+x**3+x**2+x+1)*(x**20+x**15+x**10+x**5+1))))] }
-
-
-
-def A053347():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x)**9)] }
-
-
-
-def A053367():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x)**9)] }
-
-
-
-def A053404():
- x = SR.var('x')
- return { 'ogf': [(1/((1+(3*x))*(1-(4*x))))] }
-
-
-
-def A053410():
- x = SR.var('x')
- return { 'ogf': [(-((16*x**2)/((x-1)*(x+1)*((x**2-(10*x))+1))))] }
-
-
-
-def A053428():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(4*x))/(1-(5*x)))] }
-
-
-
-def A053430():
- x = SR.var('x')
- return { 'ogf': [(-(1/((5*x)+1)/((6*x)-1)))] }
-
-
-
-def A053436():
- x = SR.var('x')
- return { 'ogf': [((x*((((2+x)-(4*x**2)-(2*x**3))+(4*x**4)+x**5)-x**6))/((1-x)**4*(1+x)**3))] }
-
-
-
-def A053441():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x**3)+1))/((1+x)*((1+x)-x**2)*(1-(2*x)-x**3)))] }
-
-
-
-def A053455():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(48*x**2)))] }
-
-
-
-def A053464():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(5*x))**2)] }
-
-
-
-def A053469():
- x = SR.var('x')
- return { 'ogf': [(x/((6*x)-1)**2)] }
-
-
-
-def A053493():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(10*x**2)+(4*x**3)+x**4)/((1-x)**7*(1+x)))] }
-
-
-
-def A053524():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((2*x)+1)*((6*x)-1))))] }
-
-
-
-def A053526():
- x = SR.var('x')
- return { 'ogf': [((x**4*((16-(2*x))+x**2))/(1-x)**7)] }
-
-
-
-def A053527():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((3+(113*x))-(27*x**2))+(18*x**3))-(2*x**4)))/(1-x)**9)] }
-
-
-
-def A053528():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((((60+(1041*x))-(459*x**2))+(411*x**3))-(129*x**4))+(21*x**5)))/(1-x)**11)] }
-
-
-
-def A053540():
- x = SR.var('x')
- return { 'ogf': [(x/(((81*x**2)-(18*x))+1))] }
-
-
-
-def A053545():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/((1-x)*(1-(2*x))**3))] }
-
-
-
-def A053565():
- x = SR.var('x')
- return { 'ogf': [(-((2-(7*x))/(1-(2*x))**2))] }
-
-
-
-def A053573():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(5*x)-(14*x**2)))] }
-
-
-
-def A053581():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-(2*x))*(1-(3*x))))] }
-
-
-
-def A053599():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)**2*(1-(2*x**2))))] }
-
-
-
-def A053602():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/(1-x**2-x**4))] }
-
-
-
-def A053606():
- x = SR.var('x')
- return { 'ogf': [((8*x)/((1-x)*((1-(18*x))+x**2)))] }
-
-
-
-def A053618():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**2-x)+1)*(((x**4+x**2)-x)+1))/((x-1)**4*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A053625():
- x = SR.var('x')
- return { 'ogf': [((720*x**6)/(1-x)**7)] }
-
-
-
-def A053655():
- x = SR.var('x')
- return { 'ogf': [(-((x*((11100*x**2)-(110*x)-1))/((x-1)*((10*x)-1)*((100*x)-1)*((1000*x)-1))))] }
-
-
-
-def A053698():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x**2))/(1-x)**4)] }
-
-
-
-def A053699():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x**2)+(6*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A053700():
- x = SR.var('x')
- return { 'ogf': [((x*((6+(27*x)+(76*x**2)+(6*x**3)+(6*x**4))-x**5))/(1-x)**6)] }
-
-
-
-def A053715():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**4)-(18*x**2)-(11*x)-1))/((x-1)**2*(x+1)**2)))] }
-
-
-
-def A053716():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**6-(6*x**5))+(57*x**4)+(232*x**3)+(351*x**2)+(78*x)+7))/(x-1)**7))] }
-
-
-
-def A053717():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**7-(8*x**6)-(57*x**5)-(1016*x**4)-(2297*x**3)-(1464*x**2)-(191*x)-8))/(x-1)**8))] }
-
-
-
-def A053730():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(6*x**2))/(1-(2*x))**3)] }
-
-
-
-def A053739():
- x = SR.var('x')
- return { 'ogf': [(1/(((x**2+x)-1)*(x-1)**5))] }
-
-
-
-def A053741():
- x = SR.var('x')
- return { 'ogf': [((10*(2+(3*x)))/(1-x)**2)] }
-
-
-
-def A053742():
- x = SR.var('x')
- return { 'ogf': [((25*(1+x))/(1-x)**2)] }
-
-
-
-def A053743():
- x = SR.var('x')
- return { 'ogf': [((5*(9+(11*x)))/(1-x)**2)] }
-
-
-
-def A053791():
- x = SR.var('x')
- return { 'ogf': [(((1+sqrt((1+(4*x))))**(1/2)*(1+sqrt((1-(4*x))))**(1/2))/(2*(1-(4*x))**(3/4)))] }
-
-
-
-def A053792():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))**(1/4)*(1+sqrt((1-(16*x**2))))**(1/2))/(sqrt(2)*(1-(4*x))**(3/4))),
-((1/2)*((1+(4*x))/(1-(4*x)))**(1/4)*(1+sqrt(((1+(4*x))/(1-(4*x))))))] }
-
-
-
-def A053796():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(2*x**2)))/(1-x**5))] }
-
-
-
-def A053798():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*(1+x**3)*(1+x**4))/((1-x)*(1-x**2)*(1-x**3)*(1-x**4))),
-(1+((2*x*((((1-x)+x**2)-x**3)+x**4))/((1+x+x**2)*(x-1)**4)))] }
-
-
-
-def A053799():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*(1+x**3))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A053800():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*(1+x**3)*(1+x**4)*(1+x**5))/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)))] }
-
-
-
-def A053801():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*(1+x**3)*(1+x**4)*(1+x**5)*(1+x**6))/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)))] }
-
-
-
-def A053802():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*(1+x**3)*(1+x**4)*(1+x**5)*(1+x**6)*(1+x**7))/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)))] }
-
-
-
-def A053805():
- x = SR.var('x')
- return { 'ogf': [((1+x)**12/(1-x)**13)] }
-
-
-
-def A053808():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x-x**2)*(1-x)**3))] }
-
-
-
-def A053809():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)**4*(1-x-x**2)))] }
-
-
-
-def A053879():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(((x**4+(3*x**3))-x**2)+(3*x)+1))/((x-1)*(1+x+x**2+x**3+x**4+x**5+x**6))))] }
-
-
-
-def A054000():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(3-x))/(1-x)**3)] }
-
-
-
-def A054107():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1-x)+x**2)*(((1+x**2)-(2*x**3))+x**4))/(1-x)**4)] }
-
-
-
-def A054108():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt((1-(4*x)))/(1+x))-1)/x)] }
-
-
-
-def A054111():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2)+(4*x**3))/((1-x**2)*(1-(2*x))))] }
-
-
-
-def A054113():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(4*x)+(2*sqrt((1-(4*x)))))/((1-x)*(1-(4*x))))] }
-
-
-
-def A054122():
- x = SR.var('x')
- return { 'ogf': [((1-x)/sqrt(((1-(8*x))+(4*x**2))))] }
-
-
-
-def A054127():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x)*((1-x)+x**2))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A054128():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((((-x**5)+(5*x**4))-(10*x**3))+(10*x**2))-(5*x))+2))/((1-(2*x))*(1-x)**4))] }
-
-
-
-def A054129():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((((((-x**7)+(7*x**6))-(21*x**5))+(35*x**4))-(35*x**3))+(21*x**2))-(7*x))+2))/((1-(2*x))*(1-x)**6))] }
-
-
-
-def A054130():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x-2)*((x**2-x)+1)*((((((x**6-(6*x**5))+(15*x**4))-(19*x**3))+(12*x**2))-(3*x))+1))/((x-1)**8*((2*x)-1)))] }
-
-
-
-def A054136():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((x**4-(4*x**3))+(6*x**2))-(4*x))+2))/((1-(2*x))*(1-x)**3))] }
-
-
-
-def A054145():
- x = SR.var('x')
- return { 'ogf': [((((2*x**3)-(4*x**2))+(2*x))/((1-(4*x))+(2*x**2))**2)] }
-
-
-
-def A054147():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**2))+(3*x))/((1-(4*x))+(2*x**2))**2)] }
-
-
-
-def A054149():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)-(8*x**2))+(6*x)+1))/(((2*x**2)-(4*x))+1)**2)] }
-
-
-
-def A054318():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(6*x))+x**2))/((1-x)*((1-(10*x))+x**2)))] }
-
-
-
-def A054320():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(10*x))+x**2))] }
-
-
-
-def A054322():
- x = SR.var('x')
- return { 'ogf': [((4*(1+(4*x)))/(1-(4*x))**4)] }
-
-
-
-def A054323():
- x = SR.var('x')
- return { 'ogf': [((5+(40*x)+(16*x**2))/(1-(4*x))**5)] }
-
-
-
-def A054324():
- x = SR.var('x')
- return { 'ogf': [((2*((4*x)+3)*((12*x)+1))/(1-(4*x))**6)] }
-
-
-
-def A054325():
- x = SR.var('x')
- return { 'ogf': [((7+(140*x)+(336*x**2)+(64*x**3))/(1-(4*x))**7)] }
-
-
-
-def A054326():
- x = SR.var('x')
- return { 'ogf': [((8*((4*x)+1)*((16*x**2)+(24*x)+1))/(1-(4*x))**8)] }
-
-
-
-def A054327():
- x = SR.var('x')
- return { 'ogf': [((((4*x)+3)*((64*x**3)+(528*x**2)+(108*x)+3))/(1-(4*x))**9)] }
-
-
-
-def A054328():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(40*x)+(80*x**2))*(5+(40*x)+(16*x**2)))/(1-(4*x))**10)] }
-
-
-
-def A054329():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(4*x))**4)] }
-
-
-
-def A054330():
- x = SR.var('x')
- return { 'ogf': [((((4*x)+3)*((12*x)+1))/(1-(4*x))**6)] }
-
-
-
-def A054331():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))*(1+(24*x)+(16*x**2)))/(1-(4*x))**8)] }
-
-
-
-def A054332():
- x = SR.var('x')
- return { 'ogf': [(((1+(40*x)+(80*x**2))*(5+(40*x)+(16*x**2)))/(1-(4*x))**10)] }
-
-
-
-def A054333():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x)**10)] }
-
-
-
-def A054334():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x)**11)] }
-
-
-
-def A054337():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x))**7)] }
-
-
-
-def A054338():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x))**8)] }
-
-
-
-def A054339():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x))**9)] }
-
-
-
-def A054340():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x))**10)] }
-
-
-
-def A054341():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(4*x))+sqrt((1-(4*x**2)))))] }
-
-
-
-def A054343():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**6)+(2*x**5)+x**4+(4*x**2))-(2*x))+1)/((1-x**4)**2*(1-x**2)**2*(1-x)**5))] }
-
-
-
-def A054344():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((x**9-(10*x**8))+(45*x**7))-(36*x**6))+(3096*x**5)+(17256*x**4)+(27724*x**3)+(11421*x**2)+(974*x)+9))/(x-1)**10)] }
-
-
-
-def A054391():
- x = SR.var('x')
- return { 'ogf': [(1-((2*x**2)/((((2*x**2)-(3*x))+1)-sqrt((1-(2*x)-(3*x**2))))))] }
-
-
-
-def A054417():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(5*x**2)))/(((1-(7*x))+(3*x**2))-(5*x**3)))] }
-
-
-
-def A054418():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(((1-(7*x))+(3*x**2))-(5*x**3)))] }
-
-
-
-def A054419():
- x = SR.var('x')
- return { 'ogf': [(((-(5*x**2))-3)/((((5*x**3)-(3*x**2))+(7*x))-1))] }
-
-
-
-def A054420():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-(5*x)))/(((1-(7*x))+(3*x**2))-(5*x**3)))] }
-
-
-
-def A054421():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((3*x)-1))/(((7*x)-1)*((((5*x**3)-(3*x**2))+(7*x))-1))))] }
-
-
-
-def A054444():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-(3*x))+x**2)**2)] }
-
-
-
-def A054452():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)**2*((1-(3*x))+x**2)))] }
-
-
-
-def A054457():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-x**2)**3)] }
-
-
-
-def A054459():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-x**2))**2] }
-
-
-
-def A054460():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-x**2))**3] }
-
-
-
-def A054469():
- x = SR.var('x')
- return { 'ogf': [((x+1)/((x-1)**5*((x**2+x)-1)))] }
-
-
-
-def A054470():
- x = SR.var('x')
- return { 'ogf': [(-((x+1)/((x-1)**6*((x**2+x)-1))))] }
-
-
-
-def A054472():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**18+(17802*x**17)+(57738159*x**16)+(1.7050750284E10*x**15)+(1.199757591558E12*x**14)+(3.0128721042672E13*x**13)+(3.2984788419681E14*x**12)+(1.749288479932404E15*x**11)+(4.727182539811968E15*x**10)+(6.598854419308684E15*x**9)+(4.727182539811968E15*x**8)+(1.749288479932404E15*x**7)+(3.2984788419681E14*x**6)+(3.0128721042672E13*x**5)+(1.199757591558E12*x**4)+(1.7050750284E10*x**3)+(57738159*x**2)+(17802*x)+1))/(x-1)**21))] }
-
-
-
-def A054473():
- x = SR.var('x')
- return { 'ogf': [(((3*x**6)+x**5+x**4+1)/((1-x**4)*(1-x**3)**2*(1-x**2)**2*(1-x)))] }
-
-
-
-def A054477():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1-(5*x))+x**2))] }
-
-
-
-def A054480():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(3*x))+x**2+(2*x**3))-x**6))] }
-
-
-
-def A054487():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-x)**9)] }
-
-
-
-def A054491():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(4*x))+x**2))] }
-
-
-
-def A054492():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(3*x))+x**2))] }
-
-
-
-def A054493():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*((1-(5*x))+x**2)))] }
-
-
-
-def A054497():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**7*(1-x**2)**3))] }
-
-
-
-def A054498():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**4*(1-x**2)**6))] }
-
-
-
-def A054549():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**9*(1-x**2)**6))] }
-
-
-
-def A054552():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(8*x**2))/(1-x)**3)] }
-
-
-
-def A054554():
- x = SR.var('x')
- return { 'ogf': [(-((x*((7*x**2)+1))/(x-1)**3))] }
-
-
-
-def A054556():
- x = SR.var('x')
- return { 'ogf': [(-(((6*x**2)+x+1)/(x-1)**3))] }
-
-
-
-def A054557():
- x = SR.var('x')
- return { 'ogf': [((72*x**5*(1+(60*x)))/(1-x)**7)] }
-
-
-
-def A054558():
- x = SR.var('x')
- return { 'ogf': [((5*x**5*((30-(48*x))+(25*x**2)))/(1-x)**8)] }
-
-
-
-def A054559():
- x = SR.var('x')
- return { 'ogf': [((30*x**5)/(1-x)**6)] }
-
-
-
-def A054563():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x*(x+3))+6))/(x-1)**7))] }
-
-
-
-def A054567():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**2)+(3*x)+1))/(x-1)**3))] }
-
-
-
-def A054569():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(3*x)))/(1-x)**3)] }
-
-
-
-def A054602():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x**2+1))/(x-1)**4)] }
-
-
-
-def A054603():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((4*x**2)+x+1))/(x-1)**5))] }
-
-
-
-def A054604():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x**4+(2*x**3)+(18*x**2)+(2*x)+1))/(x-1)**6)] }
-
-
-
-def A054605():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((10*x**4)+(49*x**3)+(53*x**2)+(7*x)+1))/(x-1)**7))] }
-
-
-
-def A054606():
- x = SR.var('x')
- return { 'ogf': [((7*x*(x**6+(12*x**5)+(183*x**4)+(328*x**3)+(183*x**2)+(12*x)+1))/(x-1)**8)] }
-
-
-
-def A054607():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*((34*x**6)+(525*x**5)+(1971*x**4)+(1936*x**3)+(546*x**2)+(27*x)+1))/(x-1)**9))] }
-
-
-
-def A054608():
- x = SR.var('x')
- return { 'ogf': [((9*x*(x**8+(50*x**7)+(1640*x**6)+(9774*x**5)+(17390*x**4)+(9774*x**3)+(1640*x**2)+(50*x)+1))/(x-1)**10)] }
-
-
-
-def A054609():
- x = SR.var('x')
- return { 'ogf': [(-((10*x*((100*x**8)+(4783*x**7)+(45547*x**6)+(130963*x**5)+(131119*x**4)+(45469*x**3)+(4801*x**2)+(97*x)+1))/(x-1)**11))] }
-
-
-
-def A054620():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(18*x**2)+(2*x**3)+x**4))/(x-1)**6)] }
-
-
-
-def A054621():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(183*x**2)+(328*x**3)+(183*x**4)+(12*x**5)+x**6))/(x-1)**8)] }
-
-
-
-def A054622():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(27*x)+(546*x**2)+(1936*x**3)+(1971*x**4)+(525*x**5)+(34*x**6)))/(1-x)**9)] }
-
-
-
-def A054623():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(50*x)+(1640*x**2)+(9774*x**3)+(17390*x**4)+(9774*x**5)+(1640*x**6)+(50*x**7)+x**8))/(1-x)**10)] }
-
-
-
-def A054624():
- x = SR.var('x')
- return { 'ogf': [((x*((100*x**8)+(4783*x**7)+(45547*x**6)+(130963*x**5)+(131119*x**4)+(45469*x**3)+(4801*x**2)+(97*x)+1))/(1-x)**11)] }
-
-
-
-def A054644():
- x = SR.var('x')
- return { 'ogf': [((x**4*(4+(80*x)+(120*x**2)+(65*x**3)+(10*x**4)+x**5))/(1-x)**10)] }
-
-
-
-def A054647():
- x = SR.var('x')
- return { 'ogf': [((5*x**6*((((169*x**6)-(1119*x**5))+(2535*x**4))-(1245*x**3)-(3030*x**2)-(384*x)-6))/(x-1)**13)] }
-
-
-
-def A054648():
- x = SR.var('x')
- return { 'ogf': [(-((30*x**6*(((89*x**4)-(391*x**3))+(401*x**2)+(309*x)+12))/(x-1)**11))] }
-
-
-
-def A054726():
- x = SR.var('x')
- return { 'ogf': [((1+((3/2)*x))-x**2-((x/2)*sqrt(((1-(12*x))+(4*x**2)))))] }
-
-
-
-def A054761():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-(4*x))+(3*x**2)+(3*x**3))-(2*x**4)-(2*x**6))+x**10))] }
-
-
-
-def A054771():
- x = SR.var('x')
- return { 'ogf': [(((((x**8-(2*x**7))+(6*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(6*x**2))-(2*x))+1)/((1-x**4)**2*(1-x**2)**2*(1-x)**5))] }
-
-
-
-def A054773():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((x**16-(4*x**15))+(28*x**14))-(12*x**13))+(76*x**12)+(60*x**11)+(196*x**10))-(44*x**9))+(422*x**8))-(44*x**7))+(196*x**6)+(60*x**5)+(76*x**4))-(12*x**3))+(28*x**2))-(4*x))+1)/((x-1)**16*(x+1)**8*(x**2+1)**4))] }
-
-
-
-def A054776():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+(16*x)+(10*x**2)))/(1-x)**4)] }
-
-
-
-def A054777():
- x = SR.var('x')
- return { 'ogf': [(-((24*x*(1+(65*x)+(155*x**2)+(35*x**3)))/(x-1)**5))] }
-
-
-
-def A054778():
- x = SR.var('x')
- return { 'ogf': [((120*x*((126*x**4)+(1246*x**3)+(1506*x**2)+(246*x)+1))/(x-1)**6)] }
-
-
-
-def A054779():
- x = SR.var('x')
- return { 'ogf': [(-((720*x*((462*x**5)+(9142*x**4)+(24017*x**3)+(12117*x**2)+(917*x)+1))/(x-1)**7))] }
-
-
-
-def A054849():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x)))**6)] }
-
-
-
-def A054851():
- x = SR.var('x')
- return { 'ogf': [(x**7/(1-(2*x))**8)] }
-
-
-
-def A054854():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x)-(3*x**2))+(2*x**3)))] }
-
-
-
-def A054855():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-(2*x)-(7*x**2))+(2*x**3)+(3*x**4)))] }
-
-
-
-def A054856():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+x)*((1-(3*x))+x**4)))] }
-
-
-
-def A054857():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+x**2+x)-1)/(((x**8+(3*x**7)+(2*x**6)+(5*x**5)+x**4)-(6*x**3)-(7*x**2)-(2*x))+1)))] }
-
-
-
-def A054858():
- x = SR.var('x')
- return { 'ogf': [(((((x**5+(2*x**4))-x**3)+(5*x**2))-x-10)+((2*(((-(4*x))+5)-(5*x**2)))/(1-x-x**2-x**3)))] }
-
-
-
-def A054872():
- x = SR.var('x')
- return { 'ogf': [(x*(2-(2*x)-((1-(8*x))+(4*x**2))**(1/2)))] }
-
-
-
-def A054878():
- x = SR.var('x')
- return { 'ogf': [((1/4)*((3/(1+x))+(1/(1-(3*x))))),
-((1-(3*x**2)-(2*x**3))/(1-(6*x**2)-(8*x**3)-(3*x**4))),
-((1-(2*x))/(1-(2*x)-(3*x**2)))] }
-
-
-
-def A054879():
- x = SR.var('x')
- return { 'ogf': [((((1/4)*1)/(1-(9*x)))+(((3/4)*1)/(1-x)))] }
-
-
-
-def A054880():
- x = SR.var('x')
- return { 'ogf': [((((3/4)*1)/(1-(9*x)))-(3/4/(1-x)))] }
-
-
-
-def A054881():
- x = SR.var('x')
- return { 'ogf': [((1/2)+(1/3/(1+(2*x)))+(1/6/(1-(4*x)))),
-((1-(2*x)-(4*x**2))/((1+(2*x))*(1-(4*x))))] }
-
-
-
-def A054882():
- x = SR.var('x')
- return { 'ogf': [((((1/5)-(1/4/(x-1))-(1/20/((3*x)-1)))+(1/5/((2*x)+1)))-(3/10/((5*x**2)-1)))] }
-
-
-
-def A054883():
- x = SR.var('x')
- return { 'ogf': [(((-(1/5))-(1/4/(x-1))-(1/20/((3*x)-1)))+(1/5/((2*x)+1))+(3/10/((5*x**2)-1))),
-(-((6*x**5)/((x-1)*((2*x)+1)*((3*x)-1)*((5*x**2)-1))))] }
-
-
-
-def A054884():
- x = SR.var('x')
- return { 'ogf': [(((-(1/12/((5*x)-1)))+(5/12/(x+1)))-(1/2/((5*x**2)-1)))] }
-
-
-
-def A054885():
- x = SR.var('x')
- return { 'ogf': [((-(1/12/((5*x)-1)))+(5/12/(x+1))+(1/2/((5*x**2)-1)))] }
-
-
-
-def A054887():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(x**3-1)*(x**5-1)*(x**7-1))/(((((x**16-(2*x**15))+x**12+x**10)-x**4-x**6)+(2*x))-1))] }
-
-
-
-def A054888():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/((x**2-(3*x))+1))] }
-
-
-
-def A054889():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(4*x**2)+(2*x)+1)/((x**4-(3*x**3)-x**2-(3*x))+1))] }
-
-
-
-def A054890():
- x = SR.var('x')
- return { 'ogf': [((x**2+x+1)/((x**2-(6*x))+1))] }
-
-
-
-def A054894():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2+(2*x))-1))/(((x**4+(4*x**3))-(4*x**2)-(4*x))+1)))] }
-
-
-
-def A054925():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**2-x)+1))/((1-x)**3*(1+x**2)))] }
-
-
-
-def A054966():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(7*x)+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A054968():
- x = SR.var('x')
- return { 'ogf': [((x**5*((2*x**2)+(5*x)+4))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A054974():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**3-x**2-1))/((x**2-1)**2*(x-1)**2)))] }
-
-
-
-def A054975():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((((((x**14-(2*x**13))+x**12)-(3*x**11))+(4*x**10))-(3*x**9))+(4*x**8))-x**7-(4*x**6))+(2*x**5))-x**4-(5*x**3)-(4*x**2)-1))/((((x**4-x**3)+x)-1)*(x**3-1)**3*(x+1)**3*(x-1)**5))] }
-
-
-
-def A054977():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-x))] }
-
-
-
-def A055005():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((9*x**8)-(54*x**7))+(132*x**6))-(171*x**5))+(135*x**4))-(78*x**3))+(36*x**2))-(9*x))+1)/(x-1)**9))] }
-
-
-
-def A055007():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((((((16*x**15)-(192*x**14))+(1040*x**13))-(3356*x**12))+(7200*x**11))-(10952*x**10))+(12544*x**9))-(11712*x**8))+(9664*x**7))-(7088*x**6))+(4224*x**5))-(1844*x**4))+(560*x**3))-(120*x**2))+(16*x))-1)/(x-1)**16))] }
-
-
-
-def A055010():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A055099():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(3*x)-(2*x**2)))] }
-
-
-
-def A055112():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+x))/(1-x)**4)] }
-
-
-
-def A055113():
- x = SR.var('x')
- return { 'ogf': [(((-(1/4))-((1/4)*(1-(4*x))**(1/2)))+((1/4)*(2+(2*(1-(4*x))**(1/2))+(12*x))**(1/2)))] }
-
-
-
-def A055195():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((x**11-x**10-(3*x**9))+(4*x**7)+(6*x**6))-(3*x**5)-(5*x**4)-(3*x**3))+(3*x**2)+(6*x)+1))/((1-x**3)**2*(1-x**2)**2*(1-x)**3))] }
-
-
-
-def A055217():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((1-(2*x)-(3*x**2))))/(2*x*(1-(2*x)-(3*x**2))))] }
-
-
-
-def A055218():
- x = SR.var('x')
- return { 'ogf': [(((((((2*x)-1)*sqrt((((-(3*x**2))-(2*x))+1)))+(2*x**3))-(3*x))+1)/((((6*x**6)+x**5+(sqrt((((-(3*x**2))-(2*x))+1))*((3*x**4)-x**3)))-(4*x**4))+x**3))] }
-
-
-
-def A055243():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-x-x**2)**3)] }
-
-
-
-def A055244():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**3)/(1-x-x**2)**2)] }
-
-
-
-def A055245():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(2*x**2)+(2*x**3))-(3*x**4)-x**5)/(1-x-x**2)**3)] }
-
-
-
-def A055250():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))**2*(1-x)**5))] }
-
-
-
-def A055251():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))**2*(1-x)**6))] }
-
-
-
-def A055264():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(3*x**3)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A055267():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-(3*x))+x**2))] }
-
-
-
-def A055268():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(10*x))/(x-1)**5)] }
-
-
-
-def A055269():
- x = SR.var('x')
- return { 'ogf': [(((-(2*x))-1)/(((x**3-(5*x**2))+(5*x))-1))] }
-
-
-
-def A055270():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(7*x)))] }
-
-
-
-def A055271():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(5*x))+x**2))] }
-
-
-
-def A055272():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(7*x)))] }
-
-
-
-def A055273():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-(3*x))+x**2))] }
-
-
-
-def A055274():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(8*x)))] }
-
-
-
-def A055276():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(11*x)))] }
-
-
-
-def A055328():
- x = SR.var('x')
- return { 'ogf': [((x**6*((2*x)+1))/((1-x**2)*(1-x**3)*(1-x)**3))] }
-
-
-
-def A055329():
- x = SR.var('x')
- return { 'ogf': [(-((x**8*(x**6+(5*x**4)+(8*x**3)+(9*x**2)+(5*x)+2))/((x-1)**7*(x+1)**3*(x**2+1)*(x**2+x+1))))] }
-
-
-
-def A055330():
- x = SR.var('x')
- return { 'ogf': [(-((x**10*((3*x**9)+(6*x**8)+(16*x**7)+(29*x**6)+(38*x**5)+(41*x**4)+(36*x**3)+(24*x**2)+(14*x)+3))/((x-1)**9*(x+1)**3*(x**2+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A055341():
- x = SR.var('x')
- return { 'ogf': [((x**4*((-x**4)+(2*x**3)+x**2+1))/((1-x**2)*(1-x**3)*(1-x)**3))] }
-
-
-
-def A055342():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((-1)-x-(5*x**2)-(6*x**3)-(9*x**4)-(5*x**5)-(2*x**6)-(2*x**7))+x**9))/((x**2+1)*(1+x+x**2)*(1+x)**3*(x-1)**7))] }
-
-
-
-def A055364():
- x = SR.var('x')
- return { 'ogf': [((x**5*(x**3+x+1))/((1-x**2)*(1-x**3)*(1-x)**3))] }
-
-
-
-def A055365():
- x = SR.var('x')
- return { 'ogf': [((x**6*((-1)-(2*x)-(5*x**2)-(5*x**3)-(7*x**4)-(5*x**5)-(3*x**6)-x**7-x**8))/((x**2+1)*(1+x+x**2)*(1+x)**3*(x-1)**7))] }
-
-
-
-def A055389():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/(1-x-x**2))] }
-
-
-
-def A055392():
- x = SR.var('x')
- return { 'ogf': [((1/2)+((1/2)*(3-(2*(1-(4*x))**(1/2)))**(1/2)))] }
-
-
-
-def A055395():
- x = SR.var('x')
- return { 'ogf': [(1-((1/2)*(1-(4*x))**(1/2))-((1/2)*(3-(2*(1-(4*x))**(1/2))-(4*x))**(1/2)))] }
-
-
-
-def A055417():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2+x**3)/(1-x)**5)] }
-
-
-
-def A055418():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((8*x**8)-(35*x**7))+(51*x**6))-(30*x**5)-(5*x**4))+(21*x**3))-(16*x**2))+(6*x))-1)/(x-1)**10))] }
-
-
-
-def A055419():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((11*x**16)-(164*x**15))+(936*x**14))-(2841*x**13))+(5310*x**12))-(6697*x**11))+(6044*x**10))-(3984*x**9))+(1734*x**8))-(75*x**7)-(741*x**6))+(827*x**5))-(539*x**4))+(235*x**3))-(68*x**2))+(12*x))-1)/(x-1)**17)] }
-
-
-
-def A055426():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((9*x**3)-x**2-x)+1))/(x-1)**5))] }
-
-
-
-def A055427():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*((((((((93*x**8)+(620*x**7))-(848*x**6))+(516*x**5))-(150*x**4))+(20*x**3)+(8*x**2))-(4*x))+1))/(x-1)**10)] }
-
-
-
-def A055428():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((((1201*x**16)+(46896*x**15)+(180864*x**14))-(238504*x**13)-(86788*x**12))+(380032*x**11))-(353440*x**10))+(186568*x**9))-(65418*x**8))+(17264*x**7))-(3968*x**6))+(1000*x**5))-(164*x**4)-(32*x**3))+(32*x**2))-(8*x))+1)/(x-1)**17))] }
-
-
-
-def A055437():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(9*x)))/(1-x)**3)] }
-
-
-
-def A055438():
- x = SR.var('x')
- return { 'ogf': [((x*((-101)-(99*x)))/(x-1)**3)] }
-
-
-
-def A055503():
- x = SR.var('x')
- return { 'ogf': [((((-2)+(3*x))-(3*x**2)-x**3)/((-1)+x)**5)] }
-
-
-
-def A055504():
- x = SR.var('x')
- return { 'ogf': [((5*x**5*(3+x))/(1-x)**7)] }
-
-
-
-def A055523():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**3-(3*x)-4))/((x-1)**3*(x+1)**3))] }
-
-
-
-def A055524():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((2*x**5)+x**4)-(5*x**3)-(2*x**2))+(5*x)+5))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A055528():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(4*x)+1))/((x-1)**4*((10*x)-1))))] }
-
-
-
-def A055536():
- x = SR.var('x')
- return { 'ogf': [((((1/(1-x)**8)-(3/(1-x)**4/(1-x**2)**2))+(2/(1-x)**2/(1-x**3)**2))/6)] }
-
-
-
-def A055537():
- x = SR.var('x')
- return { 'ogf': [(((((1/(1-x)**16)-(6/(1-x)**8/(1-x**2)**4)-(3/(1-x)**4/(1-x**2)**6))+(8/(1-x)**4/(1-x**3)**4)+(2/(1-x)**2/(1-x**2)**3/(1-x**4)**2)+(6/(1-x)**4/(1-x**2)**4/(1-x**4)))-(8/(1-x)**2/(1-x**4)**2/(1-x**6)))/24)] }
-
-
-
-def A055580():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))**3*(1-x)))] }
-
-
-
-def A055581():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))**3*(1-x)**2))] }
-
-
-
-def A055582():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))**3*(1-x)**3))] }
-
-
-
-def A055583():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))**3*(1-x)**4))] }
-
-
-
-def A055585():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(2*x))**4)] }
-
-
-
-def A055586():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-(2*x))**4))] }
-
-
-
-def A055588():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(((1-(3*x))+x**2)*(1-x)))] }
-
-
-
-def A055589():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**4)/(1-(2*x))**5)] }
-
-
-
-def A055607():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**4-x**3-x**2-(2*x)-2))/((x-1)**3*(x+1)**2*(x**2+1)))] }
-
-
-
-def A055608():
- x = SR.var('x')
- return { 'ogf': [((1+x)**4/(1-x-x**2)**5/(1-x)**4)] }
-
-
-
-def A055609():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**8-x**7-x**6-(2*x**5))+(2*x**4)+x**3)-(3*x**2)-(2*x)-1))/((x**3-1)**2*(x**2-1)**2*(x-1)**3))] }
-
-
-
-def A055610():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((1-x)+(2*x**2))-x**3)+x**4+x**5))/((1-x)**3*(1-x**7)))] }
-
-
-
-def A055619():
- x = SR.var('x')
- return { 'ogf': [((101*x*((98029801-(1.00000001E12*x))+(1.0E12*x**2)))/((1-x)*(1-(10000*x))*(1-(100000000*x))))] }
-
-
-
-def A055622():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x)+(2*x**2))-x**3-(6*x**4)-(8*x**5)-(10*x**6)-(8*x**7)-(4*x**8)))/((1-x)*(((2*x**5)+(3*x**3))-1)*(((4*x**4)+(6*x**3)+(2*x**2))-1)))] }
-
-
-
-def A055780():
- x = SR.var('x')
- return { 'ogf': [(-((x**4-(9*x**3)-(5*x)-1)/((x-1)**4*(x+1)**2*(x**2+1))))] }
-
-
-
-def A055792():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((9*x**2)-(26*x))+1))/((x-1)*((x**2-(34*x))+1))))] }
-
-
-
-def A055793():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(11*x))+(4*x**2)))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A055796():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(1-x)**7)] }
-
-
-
-def A055797():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(1-x)**8)] }
-
-
-
-def A055798():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(1-x)**9)] }
-
-
-
-def A055799():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(1-x)**10)] }
-
-
-
-def A055802():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-x**5)+(2*x**4)+x**3)-(2*x**2))+1))/((1-x)*(1-x**2)**2))] }
-
-
-
-def A055803():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((x**7-(2*x**6)-x**5)+(4*x**4)+x**3)-(3*x**2))+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A055804():
- x = SR.var('x')
- return { 'ogf': [(x**4-((x**5*((((1-(3*x**2))+x**3+(4*x**4))-x**5-(2*x**6))+x**7))/((1+x)**4*(x-1)**5)))] }
-
-
-
-def A055805():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((x**11-(2*x**10)-(3*x**9))+(7*x**8)+(5*x**7))-(12*x**6)-(3*x**5))+(11*x**4)+x**3)-(5*x**2))+1))/((x-1)**6*(x+1)**5))] }
-
-
-
-def A055808():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3-(7*x**2)-x-1))/(x-1)**3)] }
-
-
-
-def A055809():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((1+(11*x))-(22*x**2))+(14*x**3))-(3*x**4)))/(1-x)**4)] }
-
-
-
-def A055810():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((((1+(26*x))-(65*x**2))+(60*x**3))-(25*x**4))+(4*x**5)))/(1-x)**5)] }
-
-
-
-def A055812():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((9*x**11)+(49*x**10)+(324*x**9)+(81*x**8))-(698*x**7)-(698*x**6)-(968*x**5)-(242*x**4))+(49*x**3)+(9*x**2)+(4*x)+1))/((x-1)*(x+1)*(x**2-(4*x)-1)*(x**2+1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1))))] }
-
-
-
-def A055819():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+x)-1)/((x**2-(3*x))+1)))] }
-
-
-
-def A055841():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(4*x)))] }
-
-
-
-def A055843():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-x)**10)] }
-
-
-
-def A055844():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-x)**10)] }
-
-
-
-def A055847():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(8*x)))] }
-
-
-
-def A055850():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-(3*x))+x**2))] }
-
-
-
-def A055851():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((9*x**8)+(100*x**7)+(25*x**6))-(162*x**5)-(296*x**4)-(74*x**3))+(9*x**2)+(4*x)+1))/((x-1)*(x**2+x+1)*((x**6-(98*x**3))+1))))] }
-
-
-
-def A055852():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**5)/(1-(2*x))**6)] }
-
-
-
-def A055853():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**6)/(1-(2*x))**7)] }
-
-
-
-def A055854():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**7)/(1-(2*x))**8)] }
-
-
-
-def A055855():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**8)/(1-(2*x))**9)] }
-
-
-
-def A055856():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x)+(71*x**2)+(192*x**3)+(326*x**4)+(388*x**5)+(326*x**6)+(192*x**7)+(71*x**8)+(15*x**9)+x**10)/((1-x**3)*(1-x)**4*(1+x)**3))] }
-
-
-
-def A055857():
- x = SR.var('x')
- return { 'ogf': [((1+x**18+(25*(x+x**17))+(220*(x**2+x**16))+(1149*(x**3+x**15))+(4081*(x**4+x**14))+(10768*(x**5+x**13))+(22083*(x**6+x**12))+(36283*(x**7+x**11))+(48543*(x**8+x**10))+(53446*x**9))/((1-x**3)**3*(1-x)**4*(1+x)**5))] }
-
-
-
-def A055859():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((9*x**8)+(256*x**7)+(64*x**6))-(270*x**5)-(764*x**4)-(191*x**3))+(9*x**2)+(4*x)+1))/((x-1)*(x**2+x+1)*((x**6-(254*x**3))+1))))] }
-
-
-
-def A055872():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((4*x)+1)*(((9*x**4)-(26*x**2))+1))/((x-1)*(x+1)*((x**2-(6*x))+1)*(x**2+(6*x)+1))))] }
-
-
-
-def A055979():
- x = SR.var('x')
- return { 'ogf': [(((4+(11*x))-(2*x**2)-x**3)/((1+x**4)-(34*x**2)))] }
-
-
-
-def A055988():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/((((1-(5*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A055989():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((((1-(5*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A055990():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((((1-(5*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A055991():
- x = SR.var('x')
- return { 'ogf': [(x/((((1-(5*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A055994():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-x)**10)] }
-
-
-
-def A055995():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(9*x)))] }
-
-
-
-def A055997():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(5*x))+(2*x**2)))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A055998():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(2*x)))/(1-x)**3)] }
-
-
-
-def A055999():
- x = SR.var('x')
- return { 'ogf': [((x*(4-(3*x)))/(1-x)**3)] }
-
-
-
-def A056000():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(4*x)))/(1-x)**3)] }
-
-
-
-def A056001():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-x)**9)] }
-
-
-
-def A056003():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x)**10)] }
-
-
-
-def A056005():
- x = SR.var('x')
- return { 'ogf': [(((((1/(1-x)**8)-(6/(1-x)**6))+(6/(1-x)**5)+(3/(1-x)**4))-(6/(1-x)**3))+(2/(1-x)**2))] }
-
-
-
-def A056010():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt(((1-(4*x))+(4*x**3))))/(2*x**2))] }
-
-
-
-def A056021():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(3*x)+1)**2)/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A056026():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(25*x)+(173*x**2)+(25*x**3)+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A056046():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((31*x**2)-(6*x)-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((7*x)-1))))] }
-
-
-
-def A056047():
- x = SR.var('x')
- return { 'ogf': [(-((5*x**4*(((((517752*x**6)-(251184*x**5))+(4757*x**4)+(12696*x**3))-(1810*x**2))+(24*x)+5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((11*x)-1)*((15*x)-1))))] }
-
-
-
-def A056069():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((((6*x**10)-(62*x**9))+(271*x**8))-(636*x**7))+(800*x**6))-(328*x**5)-(495*x**4))+(812*x**3))-(446*x**2))+(54*x)+25))/(x-1)**16)] }
-
-
-
-def A056074():
- x = SR.var('x')
- return { 'ogf': [(((((-2)-(3*x))+(6*x**2))-(2*x**3))/(x-1)**7)] }
-
-
-
-def A056078():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x-2)*((2*x**2)-(2*x)-1))/(x-1)**6)] }
-
-
-
-def A056084():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(727*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A056090():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((((6*x**10)-(62*x**9))+(271*x**8))-(636*x**7))+(800*x**6))-(328*x**5)-(495*x**4))+(812*x**3))-(446*x**2))+(54*x)+25))/(1-x)**15)] }
-
-
-
-def A056105():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(6*x**2))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A056106():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x**2))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A056107():
- x = SR.var('x')
- return { 'ogf': [((1+x+(4*x**2))/(1-x)**3)] }
-
-
-
-def A056108():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A056109():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(2*x**2))/(((1-(3*x))+(3*x**2))-x**3)),
-(((1+x)*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A056114():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-x)**11)] }
-
-
-
-def A056115():
- x = SR.var('x')
- return { 'ogf': [((x*(6-(5*x)))/(1-x)**3)] }
-
-
-
-def A056116():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(12*x)))] }
-
-
-
-def A056119():
- x = SR.var('x')
- return { 'ogf': [((x*(7-(6*x)))/(1-x)**3)] }
-
-
-
-def A056121():
- x = SR.var('x')
- return { 'ogf': [((x*(8-(7*x)))/(1-x)**3)] }
-
-
-
-def A056123():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1-(3*x))+x**2))] }
-
-
-
-def A056126():
- x = SR.var('x')
- return { 'ogf': [((x*(9-(8*x)))/(1-x)**3)] }
-
-
-
-def A056128():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x)**12)] }
-
-
-
-def A056161():
- x = SR.var('x')
- return { 'ogf': [(((x**4+x**3)-(19*x**2)-(5*x)-2)/(((x**5-x**4-(34*x**3))+(34*x**2)+x)-1))] }
-
-
-
-def A056182():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((2*x)-1)*((3*x)-1)))] }
-
-
-
-def A056204():
- x = SR.var('x')
- return { 'ogf': [((1/3840)*((1/(1-x**1)**32)+(231/(1-x**2)**16)+(20/(1-x**1)**16/(1-x**2)**8)+(520/(1-x**4)**8)+(60/(1-x**1)**8/(1-x**2)**12)+(80/(1-x**1)**8/(1-x**3)**8)+(720/(1-x**2)**4/(1-x**6)**4)+(160/(1-x**1)**4/(1-x**2)**2/(1-x**3)**4/(1-x**6)**2)+(320/(1-x**4)**2/(1-x**12)**2)+(240/(1-x**1)**4/(1-x**2)**2/(1-x**4)**6)+(480/(1-x**8)**4)+(240/(1-x**2)**4/(1-x**4)**6)+(384/(1-x**1)**2/(1-x**5)**6)+(384/(1-x**2)**1/(1-x**10)**3)))] }
-
-
-
-def A056205():
- x = SR.var('x')
- return { 'ogf': [((1/46080)*((1/(1-x**1)**64)+(1053/(1-x**2)**32)+(30/(1-x**1)**32/(1-x**2)**16)+(4920/(1-x**4)**16)+(180/(1-x**1)**16/(1-x**2)**24)+(120/(1-x**1)**8/(1-x**2)**28)+(160/(1-x**1)**16/(1-x**3)**16)+(5280/(1-x**2)**8/(1-x**6)**8)+(960/(1-x**1)**8/(1-x**2)**4/(1-x**3)**8/(1-x**6)**4)+(3840/(1-x**4)**4/(1-x**12)**4)+(640/(1-x**1)**4/(1-x**3)**20)+(1920/(1-x**2)**2/(1-x**6)**10)+(720/(1-x**1)**8/(1-x**2)**4/(1-x**4)**12)+(5760/(1-x**8)**8)+(2160/(1-x**2)**8/(1-x**4)**12)+(1440/(1-x**1)**4/(1-x**2)**6/(1-x**4)**12)+(2304/(1-x**1)**4/(1-x**5)**12)+(6912/(1-x**2)**2/(1-x**10)**6)+(3840/(1-x**1)**2/(1-x**2)**1/(1-x**3)**2/(1-x**6)**9)+(3840/(1-x**4)**1/(1-x**12)**5)))] }
-
-
-
-def A056220():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(4*x)+x**2)/(1-x)**3)] }
-
-
-
-def A056236():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(2*x)))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A056243():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+(3*x))-x**2))/(1-(2*x))**3)] }
-
-
-
-def A056272():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(9*x))-(24*x**2))+(19*x**3)))/((x-1)*((3*x)-1)*((2*x)-1)*((5*x)-1))))] }
-
-
-
-def A056273():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(14*x))+(68*x**2))-(135*x**3))+(91*x**4)))/((1-x)*((6*x)-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)))] }
-
-
-
-def A056308():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((3*x)+2)*((4*x)-1))/(((6*x)-1)*((6*x**2)-1))))] }
-
-
-
-def A056309():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x)-(4*x**2)))/(((1-(3*x))+(6*x**3))-(4*x**4)))] }
-
-
-
-def A056310():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**3*(((12*x**4)-(5*x**3)-(4*x**2))+1))/((x-1)*((2*x)-1)*((3*x)-1)*((2*x**2)-1)*((3*x**2)-1))))] }
-
-
-
-def A056311():
- x = SR.var('x')
- return { 'ogf': [((12*x**4*((3*x)+1)*(((8*x**4)-(3*x**3)-(2*x**2)-x)+1))/((x-1)*((4*x)-1)*((3*x)-1)*((2*x)+1)*((2*x)-1)*((3*x**2)-1)*((2*x**2)-1)))] }
-
-
-
-def A056312():
- x = SR.var('x')
- return { 'ogf': [(-((60*x**5*((((120*x**7)-(17*x**6)-(50*x**5)-(32*x**4))+(20*x**3)+(10*x**2))-(2*x)-1))/((x-1)*((2*x)-1)*((2*x)+1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1))))] }
-
-
-
-def A056313():
- x = SR.var('x')
- return { 'ogf': [((360*x**6*((8*x**2)-x-1)*((((90*x**7)-(9*x**6)-(29*x**5)-(34*x**4))+(15*x**3)+(9*x**2))-x-1))/((x-1)*((2*x)-1)*((2*x)+1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1)*((6*x**2)-1)))] }
-
-
-
-def A056323():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((11*x**3)-(6*x**2)-(3*x))+1))/((x-1)*((2*x)-1)*((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A056324():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((215*x**7)-(289*x**6)-(25*x**5))+(168*x**4))-(51*x**3)-(16*x**2))+(9*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((5*x)-1)*((2*x**2)-1)*((5*x**2)-1))))] }
-
-
-
-def A056326():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**2+x)-1))/((x-1)*((2*x)-1)*((2*x**2)-1)))] }
-
-
-
-def A056327():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((3*x**4)-(8*x**3))+(3*x**2)+(2*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((2*x**2)-1)*((3*x**2)-1)))] }
-
-
-
-def A056328():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((3*x**3)+x**2)-(2*x))+1))/((x-1)*((2*x)-1)*((2*x)+1)*((3*x)-1)*((4*x)-1)*((3*x**2)-1))))] }
-
-
-
-def A056329():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(((((70*x**5)-(102*x**4))+(22*x**3)+(7*x**2))-(4*x))+1))/((x-1)*((2*x)-1)*((2*x)+1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((2*x**2)-1)*((5*x**2)-1))))] }
-
-
-
-def A056449():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+x))/(1-(3*x**2)))] }
-
-
-
-def A056450():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(1+x))/(((2*x)-1)*((2*x)+1))))] }
-
-
-
-def A056451():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1+x))/(1-(5*x**2)))] }
-
-
-
-def A056452():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+x))/(1-(6*x**2)))] }
-
-
-
-def A056453():
- x = SR.var('x')
- return { 'ogf': [((2*x**3)/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A056454():
- x = SR.var('x')
- return { 'ogf': [((6*x**5)/((1-x)*(1-(2*x**2))*(1-(3*x**2))))] }
-
-
-
-def A056455():
- x = SR.var('x')
- return { 'ogf': [((24*x**7)/((1-x)*(1-(2*x))*(1+(2*x))*(1-(2*x**2))*(1-(3*x**2))))] }
-
-
-
-def A056456():
- x = SR.var('x')
- return { 'ogf': [(-((120*x**9)/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1))))] }
-
-
-
-def A056457():
- x = SR.var('x')
- return { 'ogf': [((720*x**11)/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1)*((6*x**2)-1)))] }
-
-
-
-def A056468():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((136*x**4)-(272*x**3))+(84*x**2)+(52*x)+1))/((2*x)-1)**7))] }
-
-
-
-def A056469():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+(3*x))-2)/((x-1)*((2*x)-1))))] }
-
-
-
-def A056470():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((19*x**6)-(24*x**4))+(9*x**2))-1))/((x-1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1))))] }
-
-
-
-def A056471():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((91*x**8)-(135*x**6))+(68*x**4))-(14*x**2))+1))/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)*((6*x**2)-1))))] }
-
-
-
-def A056473():
- x = SR.var('x')
- return { 'ogf': [(x**7/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)))] }
-
-
-
-def A056474():
- x = SR.var('x')
- return { 'ogf': [(-(x**9/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1))))] }
-
-
-
-def A056475():
- x = SR.var('x')
- return { 'ogf': [(x**11/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1)*((6*x**2)-1)))] }
-
-
-
-def A056486():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+(5*x)))/((1-(2*x))*(1+(2*x))))] }
-
-
-
-def A056487():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(5*x**2)))] }
-
-
-
-def A056488():
- x = SR.var('x')
- return { 'ogf': [((3*x*(2+(7*x)))/(1-(6*x**2)))] }
-
-
-
-def A056489():
- x = SR.var('x')
- return { 'ogf': [((3*x**4*(1+x))/((1-x)*(1-(2*x**2))*(1-(3*x**2))))] }
-
-
-
-def A056490():
- x = SR.var('x')
- return { 'ogf': [((12*x**6*(1+x))/((1-x)*(1-(2*x))*(1+(2*x))*(1-(2*x**2))*(1-(3*x**2))))] }
-
-
-
-def A056491():
- x = SR.var('x')
- return { 'ogf': [(-((60*x**8*(x+1))/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1))))] }
-
-
-
-def A056492():
- x = SR.var('x')
- return { 'ogf': [((360*x**10*(x+1))/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1)*((6*x**2)-1)))] }
-
-
-
-def A056520():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(4*x**2))-x**3)/(1-x)**4)] }
-
-
-
-def A056570():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-x**2))/(((1+x)-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A056578():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(15*x**2)+(2*x**3))/(1-x)**4)] }
-
-
-
-def A056579():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**4)+(42*x**3)+(64*x**2)+(10*x)+1)/(x-1)**5))] }
-
-
-
-def A056589():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-(2*x))*(1+x)*((1-(3*x))+x**2)*(1-x-x**2)))] }
-
-
-
-def A056590():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(8*x**2))-(3*x**3)-(3*x**4)-(4*x**5))/((1+x)*(1-(3*x))*((1+x)-x**2)*(1-(2*x)-(4*x**2))*((1-(3*x))+x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A056591():
- x = SR.var('x')
- return { 'ogf': [((((((((72*x**9)-(142*x**8))+(276*x**7)+(473*x**6))-(112*x**5)-(78*x**3))+(46*x**2))-(8*x))+1)/((1-x)*(1+(2*x))*(1-(5*x))*((1+x)-x**2)*(1+(3*x)+x**2)*(1-(3*x)-(9*x**2))*(1-(4*x)-x**2)*((1-(6*x))+(4*x**2))*((1-(7*x))+x**2)))] }
-
-
-
-def A056594():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x**2))] }
-
-
-
-def A056640():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x**2)+(2*x)+1))/((1-x**2)*(1-x)**3)),
-((x*((5*x**2)+(2*x)+1))/((x-1)**4*(x+1)))] }
-
-
-
-def A056699():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**4)-(2*x**3))+x**2+(2*x)+1))/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A056827():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x**2))/((1+x)*(1-x)**3*(1+x+x**2)*((1-x)+x**2)))] }
-
-
-
-def A056830():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+x)*(1-(10*x))))] }
-
-
-
-def A056833():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*((x**2-x)+1)**2)/((x-1)**3*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A056834():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(1+x)*((x**2-x)+1))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**3)))] }
-
-
-
-def A056838():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x)*((x**2-x)+1)**2)/((1-x)**3*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A056854():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/((1-(7*x))+x**2))] }
-
-
-
-def A056918():
- x = SR.var('x')
- return { 'ogf': [((2-(9*x))/((1-(9*x))+x**2))] }
-
-
-
-def A056932():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x)+(24*x**2)+(11*x**3)+x**4)/(1-x)**9)] }
-
-
-
-def A057009():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(4*x)))/((1-(2*x))*(1-(3*x))*(1-(6*x))))] }
-
-
-
-def A057010():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(12*x)))/((1-(6*x))*(1-(8*x))*(1-(24*x))))] }
-
-
-
-def A057011():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1-(76*x))+(4336*x**2))-(81504*x**3))+(522720*x**4))-(1064448*x**5)))/((1-(2*x))*(1-(4*x))*(1-(5*x))*(1-(6*x))*(1-(12*x))*(1-(24*x))*(1-(120*x))))] }
-
-
-
-def A057076():
- x = SR.var('x')
- return { 'ogf': [((2-(11*x))/((1-(11*x))+x**2))] }
-
-
-
-def A057077():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1+x**2))] }
-
-
-
-def A057079():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)+x**2))] }
-
-
-
-def A057080():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(8*x))+x**2))] }
-
-
-
-def A057081():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(9*x))+x**2))] }
-
-
-
-def A057083():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))+(3*x**2)))] }
-
-
-
-def A057084():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(8*x))+(8*x**2)))] }
-
-
-
-def A057085():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))+(9*x**2)))] }
-
-
-
-def A057086():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(10*x))+(10*x**2)))] }
-
-
-
-def A057087():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A057088():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(5*x)-(5*x**2)))] }
-
-
-
-def A057089():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(6*x)-(6*x**2)))] }
-
-
-
-def A057090():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(7*x)-(7*x**2)))] }
-
-
-
-def A057091():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x)-(8*x**2)))] }
-
-
-
-def A057092():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(9*x)-(9*x**2)))] }
-
-
-
-def A057093():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(10*x)-(10*x**2)))] }
-
-
-
-def A057198():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-3)+(4*x)))/(((3*x)-1)*(x-1))))] }
-
-
-
-def A057222():
- x = SR.var('x')
- return { 'ogf': [((1/6)*x*((1/(1-x)**12)+(2/(1-x**3)**3/(1-x)**3)+(3/(1-x**2)**3/(1-x)**6)))] }
-
-
-
-def A057349():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**6)+(3*x**5)+(3*x**4)+(3*x**3)+(2*x**2)+(3*x)+3))/((x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A057354():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x**2))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A057356():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+x)*((x**2-x)+1))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A057359():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**3+x**4+x**5))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A057360():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x**3+x**5))/((1+x)*(x**2+1)*(x**4+1)*(x-1)**2))] }
-
-
-
-def A057361():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**2+x**3+x**5+x**6))/((1+x)*(x**2+1)*(x**4+1)*(x-1)**2))] }
-
-
-
-def A057362():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x**3+x**5+x**8+x**10))/((x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A057363():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*((x**2-x)+1)*(x**8+x**7+x**2+1))/((x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A057364():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x)*((((x**4-x**3)+x**2)-x)+1)*(x**13+x**11+x**3+1))/((1+x+x**2)*(x**6+x**5+x**4+x**3+x**2+x+1)*((((((((x**12-x**11)+x**9)-x**8)+x**6)-x**4)+x**3)-x)+1)*(x-1)**2))] }
-
-
-
-def A057365():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**2+x**3+x**5+x**7+x**8+x**10+x**11+x**13+x**15+x**16+x**18+x**19))/((1+x+x**2)*(x**6+x**5+x**4+x**3+x**2+x+1)*((((((((x**12-x**11)+x**9)-x**8)+x**6)-x**4)+x**3)-x)+1)*(x-1)**2))] }
-
-
-
-def A057366():
- x = SR.var('x')
- return { 'ogf': [((x**3*((x**2-x)+1)*(((x**14+x**13+x**12)-x**10)+x**8+x**7+x**6+x+1))/((x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A057367():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x**3+x**6+x**8+x**11+x**14+x**17+x**19+x**22+x**25+x**27))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*((((((x**8-x**7)+x**5)-x**4)+x**3)-x)+1)*(((x**8+x**7)-x**5-x**4-x**3)+x+1)*(x-1)**2))] }
-
-
-
-def A057427():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+x)-1)/(x*(x-1))))] }
-
-
-
-def A057428():
- x = SR.var('x')
- return { 'ogf': [(-(x/(1-x)))] }
-
-
-
-def A057524():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**3)/(1-x**2)/(1-x)**3)] }
-
-
-
-def A057538():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(8*x**2)+(10*x**3)+x**4)/((1-x)*(1-x**4)))] }
-
-
-
-def A057540():
- x = SR.var('x')
- return { 'ogf': [((x**16+(40*x**15)+(30*x**14)+(98*x**13)+(40*x**12)+(30*x**11)+(42*x**10)+(110*x**9)+(58*x**8)+(110*x**7)+(42*x**6)+(30*x**5)+(40*x**4)+(98*x**3)+(30*x**2)+(40*x)+1)/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)*(x**8+1)))] }
-
-
-
-def A057541():
- x = SR.var('x')
- return { 'ogf': [((x**16+(70*x**15)+(378*x**14)+(110*x**13)+(72*x**12)+(250*x**11)+(128*x**10)+(70*x**9)+(362*x**8)+(70*x**7)+(128*x**6)+(250*x**5)+(72*x**4)+(110*x**3)+(378*x**2)+(70*x)+1)/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)*(x**8+1)))] }
-
-
-
-def A057552():
- x = SR.var('x')
- return { 'ogf': [(((1/2)*(((2*x)+(1-(4*x))**(1/2))-1))/(1-(4*x))**(1/2)/x**2/((-1)+x))] }
-
-
-
-def A057566():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(4*x**2)+(2*x**3)))/((1+x)*(x-1)**4))] }
-
-
-
-def A057569():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x**2)+x+2))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A057570():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(3+x+(3*x**2)))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A057571():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((8*x**2)+(4*x))-1-(sqrt((1-(4*x**2)))*(((4*x**2)+(4*x))-1))))/(4*(1-(2*x))**2*(1+(2*x))*x**2))] }
-
-
-
-def A057585():
- x = SR.var('x')
- return { 'ogf': [((((x**2+(2*x))-1)+(((-x)+1)*sqrt(((x+1)*(1-(3*x))))))/(2*((3*x)-1)*(x+1)*x**2))] }
-
-
-
-def A057586():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**3)-x**2-(7*x))+1+(sqrt(((x+1)*(1-(3*x))))*(((3*x**2)+(6*x))-1)))/(2*(x+1)*((3*x)-1)**2*x)))] }
-
-
-
-def A057587():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-x**2)+x**3))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A057590():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((x**4+(6*x**3))-(2*x**2))+(6*x)+1))/((x-1)**5*(x+1)**4)))] }
-
-
-
-def A057597():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1+x+x**2)-x**3))] }
-
-
-
-def A057651():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A057668():
- x = SR.var('x')
- return { 'ogf': [(x**7/(((120*x)-1)*((121*x)-1)*((122*x)-1)*((123*x)-1)*((124*x)-1)*((125*x)-1)*((126*x)-1)*((127*x)-1)))] }
-
-
-
-def A057681():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-x)**3+x**3))] }
-
-
-
-def A057682():
- x = SR.var('x')
- return { 'ogf': [((x-x**2)/((1-(3*x))+(3*x**2)))] }
-
-
-
-def A057703():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(3*x))+(4*x**2))-(2*x**3))+x**4))/(1-x)**6)] }
-
-
-
-def A057711():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/(1-(2*x))**2)] }
-
-
-
-def A057769():
- x = SR.var('x')
- return { 'ogf': [(((x*((x*(((x-12)*x)-74))-12))+1)/(x-1)**5)] }
-
-
-
-def A057780():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*(x**2+(4*x)+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A057781():
- x = SR.var('x')
- return { 'ogf': [(-((((((5*x**4)-(5*x**3))+(35*x**2))-(15*x))+4)/(x-1)**5))] }
-
-
-
-def A057813():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(7*x**2)+x**3)/(1-x)**4)] }
-
-
-
-def A057819():
- x = SR.var('x')
- return { 'ogf': [((4-(7*x))/((1-(4*x))+x**2))] }
-
-
-
-def A057886():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**3-x**2)+1))/((x-1)**4*(x+1)**3*(x**2+1)))] }
-
-
-
-def A057933():
- x = SR.var('x')
- return { 'ogf': [(((9*x)+(8*x**2)+(7*x**3)+(6*x**4)+(5*x**5)+(4*x**6)+(3*x**7)+(2*x**8))/((1-(10*x))*(1-x**9)))] }
-
-
-
-def A057960():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x)*(1-(2*x)-(2*x**2))))] }
-
-
-
-def A057971():
- x = SR.var('x')
- return { 'ogf': [((x**2/120)*((15/(1-x**1)**27)+(70/(1-x**1)**13/(1-x**2)**7)+(45/(1-x**1)**7/(1-x**2)**10)+(60/(1-x**1)**6/(1-x**3)**7)+(20/(1-x**1)**4/(1-x**2)**1/(1-x**3)**3/(1-x**6)**2)+(30/(1-x**1)**3/(1-x**2)**2/(1-x**4)**5)))] }
-
-
-
-def A057977():
- x = SR.var('x')
- return { 'ogf': [(((((4*x**2)+x)-1)+((1-x)*sqrt((1-(4*x**2)))))/(2*sqrt((1-(4*x**2)))*x**2))] }
-
-
-
-def A057979():
- x = SR.var('x')
- return { 'ogf': [(((x**3-x**2)+1)/(1-x**2)**2)] }
-
-
-
-def A058001():
- x = SR.var('x')
- return { 'ogf': [((x*((12*x**7)+(369*x**6)+(2514*x**5)+(4375*x**4)+(2360*x**3)+(423*x**2)+(26*x)+1))/(x-1)**10)] }
-
-
-
-def A058002():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**14+(299*x**13)+(84940*x**12)+(6299584*x**11)+(142482546*x**10)+(1214416453*x**9)+(4.351647617E9*x**8)+(6.73228112E9*x**7)+(4.351647617E9*x**6)+(1214416453*x**5)+(142482546*x**4)+(6299584*x**3)+(84940*x**2)+(299*x)+1))/(x-1)**17))] }
-
-
-
-def A058031():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(14*x**2)+(4*x**3)+(9*x**4))/(1-x)**5)] }
-
-
-
-def A058034():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**5)+(6*x**4)+(6*x**3)+(7*x**2)+x+1)/((x-1)**3*(x+1)*(x**2+1))))] }
-
-
-
-def A058038():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(7*x))+x**2)/(1-x))] }
-
-
-
-def A058053():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**8-x**7)+x**6+x**4+x**2)-x)+1)/((x-1)**7*(x+1)**3*((x**2-x)+1)*(x**2+1)*(x**2+x+1)**3)))] }
-
-
-
-def A058184():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)-x**2)/((1-(2*x))+x**2+x**4))] }
-
-
-
-def A058187():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)**3))] }
-
-
-
-def A058200():
- x = SR.var('x')
- return { 'ogf': [((9*((431*x)-1))/((432*x)-1))] }
-
-
-
-def A058212():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2+x**4)/((1-x)**2*(1-x**3)))] }
-
-
-
-def A058278():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(1-x-x**3))] }
-
-
-
-def A058281():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*(x**3-(2*x**2)-(2*x)-1))/((x-1)**2*(x**2+x+1)**2)))] }
-
-
-
-def A058310():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x)+(4*x**2)+(3*x**3))-x**4)/(1-x)**5)] }
-
-
-
-def A058333():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((7*x**2)-(10*x)-1))/(x-1)**5)] }
-
-
-
-def A058372():
- x = SR.var('x')
- return { 'ogf': [(((2-(5*x))+x**2)/(1-x)**4)] }
-
-
-
-def A058389():
- x = SR.var('x')
- return { 'ogf': [(-((x**8+(3*x**7)+(14*x**6)+(12*x**5)+(15*x**4)+(9*x**3)+(5*x**2)+1)/((x-1)**7*(x+1)**3*(x**2+x+1))))] }
-
-
-
-def A058407():
- x = SR.var('x')
- return { 'ogf': [((1/6)*((1/(1-x)**10)+(3/(1-x)**2/(1-x**2)**4)+(2/(1-x)/(1-x**3)**3)))] }
-
-
-
-def A058408():
- x = SR.var('x')
- return { 'ogf': [((1/6)*((1/(1-x)**15)+(3/(1-x)**3/(1-x**2)**6)+(2/(1-x**3)**5)))] }
-
-
-
-def A058409():
- x = SR.var('x')
- return { 'ogf': [((1/24)*((1/(1-x)**20)+(6/(1-x)**6/(1-x**2)**7)+(3/(1-x**2)**10)+(8/(1-x)**2/(1-x**3)**6)+(6/(1-x**4)**5)))] }
-
-
-
-def A058410():
- x = SR.var('x')
- return { 'ogf': [((1/24)*((1/(1-x)**35)+(6/(1-x)**9/(1-x**2)**13)+(3/(1-x)**3/(1-x**2)**16)+(8/(1-x)**2/(1-x**3)**11)+(6/(1-x)/(1-x**2)/(1-x**4)**8)))] }
-
-
-
-def A058481():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))-(2/(1-x)))] }
-
-
-
-def A058482():
- x = SR.var('x')
- return { 'ogf': [(-((x*((21*x**2)+(14*x)+1))/((x-1)*((3*x)-1)*((7*x)-1))))] }
-
-
-
-def A058622():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(2*x))*(1+(2*x)+((1+(2*x))*(1-(2*x)))**(1/2))))] }
-
-
-
-def A058645():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-(2*x**2)))/(1-(2*x))**4)] }
-
-
-
-def A058649():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**2)-(8*x)-1))/((2*x)-1)**5)] }
-
-
-
-def A058794():
- x = SR.var('x')
- return { 'ogf': [((2*(((1+(5*x))-(4*x**2))+x**3))/(1-x)**4)] }
-
-
-
-def A058795():
- x = SR.var('x')
- return { 'ogf': [(((((5*x**4)-(26*x**3))+(54*x**2))-(50*x)-7)/(x-1)**5)] }
-
-
-
-def A058796():
- x = SR.var('x')
- return { 'ogf': [((3*(((((6*x**5)-(37*x**4))+(96*x**3))-(134*x**2))+(98*x)+11))/(x-1)**6)] }
-
-
-
-def A058844():
- x = SR.var('x')
- return { 'ogf': [((x**8*(((((((288*x**6)-(1560*x**5))+(3500*x**4))-(4130*x**3))+(2625*x**2))-(840*x))+105))/((1-x)**4*(1-(2*x))**3*(1-(3*x))**2*(1-(4*x))))] }
-
-
-
-def A058877():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-(3*x)))/((1-(2*x))*(1-x))**2)] }
-
-
-
-def A058895():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(7+(4*x)+x**2))/(1-x)**5)] }
-
-
-
-def A058896():
- x = SR.var('x')
- return { 'ogf': [((3*((5*x)-1))/(1-x)/(1-(4*x)))] }
-
-
-
-def A058919():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(10*x**2)+(5*x**4))/(((((1-(5*x))+(10*x**2))-(10*x**3))+(5*x**4))-x**5))] }
-
-
-
-def A058920():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(25*x**2)+(15*x**3)+(2*x**4))/(((((1-(5*x))+(10*x**2))-(10*x**3))+(5*x**4))-x**5))] }
-
-
-
-def A058922():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((2*x)-1)**2)] }
-
-
-
-def A058923():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(4*x)-(2*x**3))+x**4+(5*x**2))/(x-1)**5))] }
-
-
-
-def A058937():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(2*x))+x**2)-x**3)+(2*x**4)))/((1+x+x**2)*(1-x)**3))] }
-
-
-
-def A058962():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(4*x))**2)] }
-
-
-
-def A058966():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1-(3*x))+(8*x**2))-(8*x**3)))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A058968():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+(8*x))-(8*x**2)))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A058985():
- x = SR.var('x')
- return { 'ogf': [(((((6+(3*x))-(66*x**2))+(92*x**3))-(8*x**4)-(74*x**5))/(1-x)**6)] }
-
-
-
-def A058987():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(2*x)-(3*x**2)))-sqrt((1-(4*x)))-x)/(2*x))] }
-
-
-
-def A058992():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1+x)-x**2)+x**3))/(1-x)**2)] }
-
-
-
-def A059019():
- x = SR.var('x')
- return { 'ogf': [(2/((2-(3*x))+(x*(1-(4*x))**(1/2))))] }
-
-
-
-def A059020():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((1-(2*x)-x**2)*(1-x)**2))] }
-
-
-
-def A059021():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((x**5-(4*x**4)-(3*x**3))+(7*x**2))-(7*x))+3))/((x-1)**2*(((((x**6-(7*x**5))+x**4+(6*x**3))-(11*x**2))+(7*x))-1))))] }
-
-
-
-def A059027():
- x = SR.var('x')
- return { 'ogf': [(((2-(3*x))+(x*(1-(4*x))**(1/2)))/((2-(5*x))+(x*(1-(4*x))**(1/2))))] }
-
-
-
-def A059029():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(2*x)+3))/(1-x**2)**2)] }
-
-
-
-def A059030():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**3)+(2*x**2)+(6*x)+4))/(1-x**3)**2)] }
-
-
-
-def A059031():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-5)-(3*x)-(9*x**2)-(2*x**3)-(3*x**4)-x**5)+x**6))/((x-1)**2*(1+x)**2*(x**2+1)**2)))] }
-
-
-
-def A059100():
- x = SR.var('x')
- return { 'ogf': [(((2-(3*x))+(3*x**2))/(1-x)**3)] }
-
-
-
-def A059116():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**2*((9*x)+1))/((x-1)*((3*x)-1)*((6*x)-1))))] }
-
-
-
-def A059153():
- x = SR.var('x')
- return { 'ogf': [(4/(((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A059155():
- x = SR.var('x')
- return { 'ogf': [(12/(((8*x)-1)*((2*x)-1)))] }
-
-
-
-def A059165():
- x = SR.var('x')
- return { 'ogf': [(16/((2*x)-1)**2)] }
-
-
-
-def A059169():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1-x)+x**2))/((1-x-x**4)+x**5)),
-((x**3*(1+x**3))/((1-x**2)*(1-x**4)))] }
-
-
-
-def A059173():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**5+x**4)-(2*x**3))+(4*x**2))-(3*x))+1)/(x-1)**5))] }
-
-
-
-def A059174():
- x = SR.var('x')
- return { 'ogf': [((((((x**6+(3*x**4))-(6*x**3))+(7*x**2))-(4*x))+1)/(x-1)**6)] }
-
-
-
-def A059222():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-x)+x**2+(4*x**3)))/((x-1)*((2*x)+1)*((2*x)-1)*(1+x))))] }
-
-
-
-def A059224():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((9-(19*x))+(10*x**2)))/(1-(2*x))**3)] }
-
-
-
-def A059231():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-sqrt(((1-(10*x))+(9*x**2))))/(8*x)),
-(((1+(3*x))-sqrt((((9*x**2)-(10*x))+1)))/(8*x))] }
-
-
-
-def A059255():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1+x)*(5+(x*(38+(5*x)))))/(x-1)**6)] }
-
-
-
-def A059278():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)+sqrt(((1-(2*x))*((1-(6*x))+(4*x**2)))))/(2*x*(x-1)))] }
-
-
-
-def A059284():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+(((-(3*x**2))-(6*x))+1)**(1/2))/(1+x)**2))] }
-
-
-
-def A059302():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1-(4*x)))/(1-x)**5))] }
-
-
-
-def A059329():
- x = SR.var('x')
- return { 'ogf': [((x**2+1)**2/((x-1)**4*(x+1)**2))] }
-
-
-
-def A059338():
- x = SR.var('x')
- return { 'ogf': [((x*(((16*x**4)-(32*x**3)-(6*x**2))+(22*x)+1))/((2*x)-1)**6)] }
-
-
-
-def A059345():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((((1+x)-x**2)*(1-(3*x)-x**2))))] }
-
-
-
-def A059387():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((6*x**2)-1))/((x-1)*((2*x)-1)*((3*x)-1)*((6*x)-1))))] }
-
-
-
-def A059398():
- x = SR.var('x')
- return { 'ogf': [((sqrt((((1+x)-x**2)/(1-(3*x)-x**2)))-1)/x/2)] }
-
-
-
-def A059403():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(2*x)+(2*x**3)+x**4))/((1-x)**5*(1+x)**3*(1+x**2)))] }
-
-
-
-def A059410():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(3*x))*(1-(9*x))))] }
-
-
-
-def A059435():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-sqrt((((4*x**2)-(12*x))+1)))/(8*x))] }
-
-
-
-def A059482():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x)-1)/((x-1)*((10*x)-1))))] }
-
-
-
-def A059502():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1-(2*x)))/((1-(3*x))+x**2)**2)] }
-
-
-
-def A059505():
- x = SR.var('x')
- return { 'ogf': [((x*((((-x**3)+(6*x**2))-(7*x))+2))/((x**2-(3*x))+1)**2)] }
-
-
-
-def A059506():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(((2*x**2)-(8*x))+3))/((x**2-(3*x))+1)**2))] }
-
-
-
-def A059507():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(((3*x**2)-(11*x))+4))/((x**2-(3*x))+1)**2))] }
-
-
-
-def A059508():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(((4*x**2)-(14*x))+5))/((x**2-(3*x))+1)**2))] }
-
-
-
-def A059509():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-x)+1))/((x**2-(3*x))+1)**2)] }
-
-
-
-def A059512():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1-(2*x)))/((1-x-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A059517():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**2*((3*x)+2))/((x-1)*((3*x)-1)*((6*x)-1))))] }
-
-
-
-def A059570():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*(1-(2*x))**2))] }
-
-
-
-def A059585():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x)**2*((3-(4*x))+(2*x**2)))/(1-x)**8)] }
-
-
-
-def A059595():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x))**7)] }
-
-
-
-def A059596():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x))**8)] }
-
-
-
-def A059597():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x))**9)] }
-
-
-
-def A059598():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x))**10)] }
-
-
-
-def A059599():
- x = SR.var('x')
- return { 'ogf': [((3+x)/(1-x)**6)] }
-
-
-
-def A059600():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+x**2)/(1-x)**8)] }
-
-
-
-def A059601():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(5*x**2))/(1-x)**10)] }
-
-
-
-def A059602():
- x = SR.var('x')
- return { 'ogf': [((5+(10*x)+x**2)/(1-x)**10)] }
-
-
-
-def A059603():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x)+(15*x**2)+x**3)/(1-x)**12)] }
-
-
-
-def A059605():
- x = SR.var('x')
- return { 'ogf': [((((15-(23*x))+(10*x**2))-x**3)/(1-x)**4)] }
-
-
-
-def A059624():
- x = SR.var('x')
- return { 'ogf': [((3+(10*x)+(3*x**2))/(1-x)**12)] }
-
-
-
-def A059625():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x))**11)] }
-
-
-
-def A059633():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1-(2*x))+x**3)-x**4))] }
-
-
-
-def A059672():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(4*x)))/((1-x)**2*(1-(2*x))**2))] }
-
-
-
-def A059673():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**2)+x)-2))/((x-1)**2*((2*x)-1)**2))),
-(-((x*(((2*x**2)+x)-2))/((x-1)**2*((2*x)-1)**2)))] }
-
-
-
-def A059712():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))*(1-(3*x)))-((1-(4*x))*sqrt(((1-(3*x))*(1+x)))))/(2*x*(2-(7*x))))] }
-
-
-
-def A059714():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))*(1-(4*x)))-((1-(5*x))*sqrt((1-(4*x)))))/(2*x*(2-(9*x))))] }
-
-
-
-def A059716():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**3)/((((1-(6*x))+(10*x**2))-(7*x**3))+x**4))] }
-
-
-
-def A059721():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(14*x)+(56*x**2)+(42*x**3)+(7*x**4)))/(1-x)**7)] }
-
-
-
-def A059722():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(5*x)))/(1-x)**4)] }
-
-
-
-def A059727():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1-(2*x)-x**2)+x**3))/((1+x)*((1-(3*x))+x**2)*(1-x-x**2)))] }
-
-
-
-def A059738():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(5*x))+sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A059769():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+(4*x)+(5*x**2))-x**4))/(1+x)/((1-(3*x))+x**2)/(1-x-x**2))] }
-
-
-
-def A059827():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+(48*x**2)+(20*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A059830():
- x = SR.var('x')
- return { 'ogf': [(-(((((4*x**6)+(57*x**5)+(309*x**4)+(274*x**3)+(78*x**2))-(3*x))+1)/(x-1)**7))] }
-
-
-
-def A059834():
- x = SR.var('x')
- return { 'ogf': [((2*x*((3-(3*x))+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A059839():
- x = SR.var('x')
- return { 'ogf': [(-(((((5*x**8)+(296*x**7)+(4492*x**6)+(15332*x**5)+(15458*x**4)+(4408*x**3)+(332*x**2))-(4*x))+1)/(x-1)**9))] }
-
-
-
-def A059840():
- x = SR.var('x')
- return { 'ogf': [((x**3*(2-x))/((1-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A059841():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**2))] }
-
-
-
-def A059845():
- x = SR.var('x')
- return { 'ogf': [((x*(7-(4*x)))/(1-x)**3)] }
-
-
-
-def A059859():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(6*x**2)+(2*x**3)+x**4))/((1+x)**3*(x-1)**6))] }
-
-
-
-def A059860():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(232*x**7)+(5158*x**6)+(27664*x**5)+(47290*x**4)+(27664*x**3)+(5158*x**2)+(232*x)+1))/(1-x)**11)] }
-
-
-
-def A059929():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-x**2)/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A059937():
- x = SR.var('x')
- return { 'ogf': [((x*(((12*x**2)-(18*x))+7))/((x-1)**3*((2*x)-1)**3))] }
-
-
-
-def A059938():
- x = SR.var('x')
- return { 'ogf': [((x*(((8*x**3)-(6*x**2)-(5*x))+4))/((x-1)**3*((2*x)-1)**3))] }
-
-
-
-def A059945():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((9*x)-4))/((x-1)*((2*x)-1)*((3*x)-1)*((6*x)-1))))] }
-
-
-
-def A059946():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((288*x**2)-(178*x))+25))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((6*x)-1)*((10*x)-1)))] }
-
-
-
-def A059948():
- x = SR.var('x')
- return { 'ogf': [((2*x**5*((((((5197500*x**6)-(4601880*x**5))+(1501221*x**4))-(219455*x**3))+(12587*x**2)+(47*x))-20))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((10*x)-1)*((11*x)-1)*((15*x)-1)*((21*x)-1)))] }
-
-
-
-def A059949():
- x = SR.var('x')
- return { 'ogf': [(-((5*x**6*((((((((3.39026688E9*x**8)-(3.368778336E9*x**7))+(1334596314*x**6))-(268312855*x**5))+(27919999*x**4))-(1171492*x**3)-(29534*x**2))+(4331*x))-107))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((10*x)-1)*((11*x)-1)*((15*x)-1)*((16*x)-1)*((21*x)-1)*((28*x)-1))))] }
-
-
-
-def A059950():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((((((((6.97664765952E13*x**11)-(7.311212891136E13*x**10))+(3.1807557729984E13*x**9))-(7.437208397056E12*x**8))+(9.93276127572E11*x**7))-(7.0229555428E10*x**6))+(1198328731*x**5)+(199609307*x**4))-(16366808*x**3))+(505224*x**2))-(5351*x)-15))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((10*x)-1)*((11*x)-1)*((12*x)-1)*((15*x)-1)*((16*x)-1)*((21*x)-1)*((22*x)-1)*((28*x)-1)*((36*x)-1)))] }
-
-
-
-def A059951():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*(((((((((((((5.4672331524636672E18*x**14)-(6.4607732230816051E18*x**13))+(3.3124895096643364E18*x**12))-(9.6594627570864768E17*x**11))+(1.75045400422088544E17*x**10))-(1.9853467917718628E16*x**9))+(1.255863452001343E15*x**8))-(1.1591551437545E13*x**7)-(5.424120630669E12*x**6))+(5.20759916751E11*x**5))-(2.4697320639E10*x**4))+(659527325*x**3))-(8843563*x**2))+(25697*x)+420))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((11*x)-1)*((12*x)-1)*((15*x)-1)*((16*x)-1)*((17*x)-1)*((21*x)-1)*((22*x)-1)*((28*x)-1)*((29*x)-1)*((36*x)-1)*((45*x)-1))))] }
-
-
-
-def A059973():
- x = SR.var('x')
- return { 'ogf': [(((x+x**2)-(2*x**3))/(1-(4*x**2)-x**4))] }
-
-
-
-def A059978():
- x = SR.var('x')
- return { 'ogf': [((x**10+(716*x**9)+(37257*x**8)+(450048*x**7)+(1822014*x**6)+(2864328*x**5)+(1822014*x**4)+(450048*x**3)+(37257*x**2)+(716*x)+1)/(1-x)**13)] }
-
-
-
-def A059979():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**12+(2172*x**11)+(247236*x**10)+(6030140*x**9)+(49258935*x**8)+(163809288*x**7)+(242384856*x**6)+(163809288*x**5)+(49258935*x**4)+(6030140*x**3)+(247236*x**2)+(2172*x)+1))/(x-1)**15))] }
-
-
-
-def A059980():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**14+(6544*x**13)+(1568215*x**12)+(72338144*x**11)+(1086859301*x**10)+(6.727188848E9*x**9)+(1.9323413187E10*x**8)+(2.730689952E10*x**7)+(1.9323413187E10*x**6)+(6.727188848E9*x**5)+(1086859301*x**4)+(72338144*x**3)+(1568215*x**2)+(6544*x)+1))/(x-1)**17))] }
-
-
-
-def A059989():
- x = SR.var('x')
- return { 'ogf': [((56*x)/(((1-(195*x))+(195*x**2))-x**3))] }
-
-
-
-def A059993():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x))-(3*x**2))/(1-x)**3)] }
-
-
-
-def A059995():
- x = SR.var('x')
- return { 'ogf': [(x**10/((1-x)*(1-x**10)))] }
-
-
-
-def A059997():
- x = SR.var('x')
- return { 'ogf': [((x*(14-(5*x)))/(1-x)**4)] }
-
-
-
-def A060008():
- x = SR.var('x')
- return { 'ogf': [((9*x**4)/(1-x)**5)] }
-
-
-
-def A060013():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-x)+1)*(((2*x**3)+(2*x**2))-1))/((x-1)*((2*x)-1))))] }
-
-
-
-def A060060():
- x = SR.var('x')
- return { 'ogf': [((5+(26*x)+(9*x**2))/(1-x)**7)] }
-
-
-
-def A060061():
- x = SR.var('x')
- return { 'ogf': [((61+(775*x)+(1179*x**2)+(225*x**3))/(1-x)**10)] }
-
-
-
-def A060062():
- x = SR.var('x')
- return { 'ogf': [((1385+(32516*x)+(114318*x**2)+(87156*x**3)+(11025*x**4))/(1-x)**13)] }
-
-
-
-def A060091():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((-(24*x**2))-16)+(33*x)+(6*x**3)))/((-1)+x)**6))] }
-
-
-
-def A060093():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((-(528*x))+125+(970*x**2))-(980*x**3))+(570*x**4))-(180*x**5))+(24*x**6)))/((-1)+x)**10)] }
-
-
-
-def A060094():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((((((((366*x)-(16950*x**8))+(36420*x**7))-(54120*x**6))+(56290*x**5))-(40335*x**4))+(18840*x**3))-(4940*x**2)-(960*x**10))+(80*x**11)+(5220*x**9)+90))/((-1)+x)**15))] }
-
-
-
-def A060095():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((((((-1680)-(7005635*x**7))+(5039622*x**6))-(2707236*x**5))+(1022210*x**4))-(232680*x**3))+(13080*x**2)+(7938*x))-(5250*x**15))+(300*x**16)+(43050*x**14))-(6227505*x**9))+(4042780*x**10)+(7485450*x**8))-(219485*x**13))+(778260*x**12))-(2033220*x**11)))/((-1)+x)**21)] }
-
-
-
-def A060099():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)**3*(1-x)**4)),
-(1/((1-x)**7*(1+x)**3))] }
-
-
-
-def A060100():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)**4*(1-x)**5))] }
-
-
-
-def A060101():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)**5*(1-x)**6))] }
-
-
-
-def A060103():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+x**2)/(1-x)**7)] }
-
-
-
-def A060104():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(5*x**2))/(1-x)**9)] }
-
-
-
-def A060105():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x)+(15*x**2)+x**3)/(1-x)**11)] }
-
-
-
-def A060107():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(2*x**2)+(2*x**3)+x**4+(2*x**5)+(2*x**6)))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A060157():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*(5-(6*x)))/(1-x)**2/(1-(2*x))/(1-(3*x)))] }
-
-
-
-def A060158():
- x = SR.var('x')
- return { 'ogf': [((4*x**5*((8-(29*x))+(24*x**2)))/((1-(4*x))*(1-(3*x))*(1-(2*x))**2*(1-x)**2))] }
-
-
-
-def A060160():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(6*x))-(28*x**2))+(16*x**3)))/((1-x)*((2*x)-1)*(((4*x**2)+(2*x))-1)))] }
-
-
-
-def A060161():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+x)-(7*x**2))+(4*x**3)))/((x-1)*((2*x)-1)*((x**2+x)-1))))] }
-
-
-
-def A060182():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*(x**2-x-1))/(((-1)+x)*((-1)+(2*x)))))] }
-
-
-
-def A060183():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(94*x))+(129*x**2))/(((100*x)-1)*(x-1)**2)))] }
-
-
-
-def A060188():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1))/((x-1)**2*((3*x)-1))))] }
-
-
-
-def A060189():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((9*x**3)+(17*x**2))-(9*x)-1))/((x-1)**3*((3*x)-1)**2*((5*x)-1))))] }
-
-
-
-def A060300():
- x = SR.var('x')
- return { 'ogf': [((16*x*(1+(4*x)+x**2))/(1-x)**5)] }
-
-
-
-def A060312():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**7+x**6+x**5+(2*x**4))-x**3)+x**2)-1))/(((x**2+x)-1)*((x**4+x**2)-1))))] }
-
-
-
-def A060344():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((1+x+(4*x**2)+(6*x**3))-(4*x**4)))/(1-(2*x)))] }
-
-
-
-def A060352():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(3*x))*(1+(3*x)))/((1-x)*(1-(3*x))**2))] }
-
-
-
-def A060354():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(4*x**2)))/(1-x)**4)] }
-
-
-
-def A060405():
- x = SR.var('x')
- return { 'ogf': [((2-(4*x)-x**2)/((1-x-x**2)*(1-(2*x)-x**2)))] }
-
-
-
-def A060416():
- x = SR.var('x')
- return { 'ogf': [((((1-(6*x))+(28*x**2))-(32*x**3))/((1-x)*(1-(4*x))**2))] }
-
-
-
-def A060422():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((2*x**2)-x)+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A060423():
- x = SR.var('x')
- return { 'ogf': [((x**5*(x+5))/((1-x)*(1-x**2)**3))] }
-
-
-
-def A060446():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(6*x**2)+(2*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A060452():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+(5*x)+(26*x**2)+(39*x**3)+(66*x**4)+(39*x**5)+(26*x**6)+(5*x**7)+x**8))/((1+x)**6*(x-1)**7)))] }
-
-
-
-def A060453():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(2+(5*x)+(10*x**2)+(5*x**3)+(2*x**4)))/((1+x)**3*(x-1)**6))] }
-
-
-
-def A060455():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x**2+(2*x**3)+(3*x**4)+(4*x**5)+(5*x**6))/((-1)+x+x**2+x**3+x**4+x**5+x**6+x**7))] }
-
-
-
-def A060459():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+(20*x)+(48*x**2)+(20*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A060464():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**3+x**2+1)*(x**3+x+1))/((1+x+x**2+x**3+x**4+x**5+x**6)*(x-1)**2))] }
-
-
-
-def A060469():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**10)+x**8+x**7+(2*x**6)+x**5+x**4+x**3+x**2+x+1))/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A060482():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**4)-x**2)+x+1))/((x-1)*((2*x**2)-1)))] }
-
-
-
-def A060483():
- x = SR.var('x')
- return { 'ogf': [((3*x**3*((2*x)+1))/((x-1)*((2*x)-1)*((4*x)-1)*((10*x)-1)))] }
-
-
-
-def A060484():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((800*x**3)+(448*x**2))-(50*x)-1))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((10*x)-1)*((20*x)-1))))] }
-
-
-
-def A060485():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((27300000*x**7)+(9288000*x**6))-(17908650*x**5))+(6008735*x**4))-(796380*x**3))+(38552*x**2)+(210*x))-43))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((7*x)-1)*((8*x)-1)*((10*x)-1)*((15*x)-1)*((20*x)-1)*((35*x)-1)))] }
-
-
-
-def A060488():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((-4)+(3*x)))/((-1)+x)**4))] }
-
-
-
-def A060489():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((((-(225*x**3))+60)-(225*x))+(342*x**2)+(90*x**5))-(50*x**6))+(9*x**7)))/((-1)+x)**10)] }
-
-
-
-def A060490():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((((((((((-(78600*x**3))+(271080*x**4))-120-(630*x))+(13248*x**2))-(635805*x**5))+(4300*x**15))-(15840*x**14))+(32760*x**13))-(18240*x**12)-(114120*x**11))+(442800*x**10))-(915315*x**9)-(1371804*x**7))+(1305540*x**8)+(1081360*x**6)+(45*x**17))-(660*x**16)))/((-1)+x)**20))] }
-
-
-
-def A060493():
- x = SR.var('x')
- return { 'ogf': [(-(((4*x**3)+(21*x**2)+(14*x)+1)/(x-1)**7))] }
-
-
-
-def A060494():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((((((1-x**2)+(4*x**3))-(4*x**4)-(3*x**6))+(4*x**7))-(3*x**8))+(4*x**9))-(4*x**10))+(4*x**11))-x**12)+x**14+(4*x**5)))/((1+x)*(x**2+1)*(x**4+1)*(x**8+1)*(x-1)**5)))] }
-
-
-
-def A060530():
- x = SR.var('x')
- return { 'ogf': [(-((x*((150*x**10)+(19758*x**9)+(425032*x**8)+(2763481*x**7)+(6769435*x**6)+(6773089*x**5)+(2763307*x**4)+(423883*x**3)+(20059*x**2)+(205*x)+1))/(x-1)**13))] }
-
-
-
-def A060531():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(8*x))*(1-(10*x))))] }
-
-
-
-def A060532():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+(82*x**2)+(164*x**3)+(101*x**4)+(2*x**5)))/(1-x)**8)] }
-
-
-
-def A060533():
- x = SR.var('x')
- return { 'ogf': [(((((((3*x**7)-(7*x**6))+(6*x**5)+(3*x**4))-(11*x**3))+(6*x**2))-1)/(x-1)**3)] }
-
-
-
-def A060534():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((4*x**12)-(12*x**11))+(6*x**10)+(50*x**9))-(180*x**8))+(282*x**7))-(208*x**6))+(30*x**5)+(72*x**4))-(62*x**3))+(18*x**2))-1)/(x-1)**6))] }
-
-
-
-def A060535():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((5*x**18)-(20*x**17))+(30*x**16)+(58*x**15))-(745*x**14))+(2790*x**13))-(5270*x**12))+(5010*x**11))-(711*x**10)-(4380*x**9))+(6270*x**8))-(4470*x**7))+(1535*x**6)+(178*x**5))-(450*x**4))+(210*x**3))-(40*x**2))+1)/(x-1)**10)] }
-
-
-
-def A060536():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((((((((((6*x**25)-(30*x**24))+(60*x**23)+(615*x**22))-(9280*x**21))+(54909*x**20))-(186150*x**19))+(404285*x**18))-(581340*x**17))+(522915*x**16))-(172878*x**15)-(289605*x**14))+(590880*x**13))-(581955*x**12))+(337755*x**11))-(67650*x**10)-(74150*x**9))+(84315*x**8))-(42870*x**7))+(10410*x**6)+(888*x**5))-(1590*x**4))+(535*x**3))-(75*x**2))+1)/(x-1)**15))] }
-
-
-
-def A060537():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((((((((((((((7*x**33)-(42*x**32))+(105*x**31)+(3598*x**30))-(64995*x**29))+(498369*x**28))-(2213029*x**27))+(6169800*x**26))-(10213560*x**25))+(4476990*x**24)+(27664014*x**23))-(97812519*x**22))+(197723150*x**21))-(296237340*x**20))+(352014180*x**19))-(334492361*x**18))+(243984426*x**17))-(117769575*x**16))+(9628325*x**15)+(45726945*x**14))-(50729175*x**13))+(31353175*x**12))-(11717370*x**11))+(1358280*x**10)+(1395765*x**9))-(1068648*x**8))+(395328*x**7))-(77805*x**6))+(882*x**5)+(4095*x**4))-(1141*x**3))+(126*x**2))-1)/(x-1)**21)] }
-
-
-
-def A060541():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(65*x)+(155*x**2)+(35*x**3)))/(1-x)**5)] }
-
-
-
-def A060544():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+x**2))/(1-x)**3)] }
-
-
-
-def A060546():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+(2*x**2))/(1-(2*x**2)))] }
-
-
-
-def A060548():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+x+2))/((2*x**6)-1)))] }
-
-
-
-def A060549():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x**4)+(2*x**3)+(2*x)+1))/(((2*x**2)-1)*((2*x**6)-1)))] }
-
-
-
-def A060550():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**2-x)+1)*(x**2+x+1))/(((2*x**3)-1)*((2*x**6)-1)))] }
-
-
-
-def A060551():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**4*(((((2*x**6)+(2*x**5))-x**4)+(2*x**3))-x**2-1))/(((2*x)-1)*((2*x**2)-1)*((2*x**3)-1)*((2*x**6)-1))))] }
-
-
-
-def A060552():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-1)-x**2-x**4)+(2*x**3)+(2*x**5)+(2*x**6)))/(((2*x)-1)*((2*x**2)-1)*((2*x**3)-1)*((2*x**6)-1))))] }
-
-
-
-def A060553():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((4*x**5)+x**4)-x**3-(2*x**2)-x)+1))/(((2*x)-1)*((2*x**2)-1)*((2*x**3)-1))))] }
-
-
-
-def A060557():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(5*x))+(6*x**2))-x**3))] }
-
-
-
-def A060558():
- x = SR.var('x')
- return { 'ogf': [((5+(10*x)+x**2)/(1-x)**9)] }
-
-
-
-def A060559():
- x = SR.var('x')
- return { 'ogf': [((3+(10*x)+(3*x**2))/(1-x)**11)] }
-
-
-
-def A060560():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(21*x)+(264*x**2)+(949*x**3)+(1014*x**4)+(258*x**5)+(13*x**6)))/(1-x)**9)] }
-
-
-
-def A060561():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(36*x)+(804*x**2)+(4844*x**3)+(8790*x**4)+(4844*x**5)+(804*x**6)+(36*x**7)+x**8))/(1-x)**10)] }
-
-
-
-def A060562():
- x = SR.var('x')
- return { 'ogf': [((x*((58*x**8)+(2425*x**7)+(22645*x**6)+(65521*x**5)+(65737*x**4)+(22579*x**3)+(2407*x**2)+(67*x)+1))/(1-x)**11)] }
-
-
-
-def A060576():
- x = SR.var('x')
- return { 'ogf': [(((x**2-x)+1)/(1-x))] }
-
-
-
-def A060577():
- x = SR.var('x')
- return { 'ogf': [(((((((2*x**5)-(4*x**4))+(4*x**3))-(4*x**2))+(2*x))-1)/(x-1)**3)] }
-
-
-
-def A060578():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((8*x**9)-(36*x**8))+(66*x**7))-(70*x**6))+(51*x**5))-(24*x**4))+(8*x**3))-(6*x**2))+(3*x))-1)/(x-1)**6))] }
-
-
-
-def A060579():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((4*x**15)+(5*x**14))-(194*x**13))+(881*x**12))-(2058*x**11))+(3096*x**10))-(3330*x**9))+(2628*x**8))-(1398*x**7))+(359*x**6)+(72*x**5))-(93*x**4))+(28*x**3)+(4*x**2))-(4*x))+1)/(x-1)**10)] }
-
-
-
-def A060580():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((((((((((5*x**22)-(20*x**21))+(23*x**20))-(815*x**19))+(8110*x**18))-(37255*x**17))+(104890*x**16))-(204469*x**15))+(296720*x**14))-(337455*x**13))+(310150*x**12))-(229885*x**11))+(131054*x**10))-(50485*x**9))+(6490*x**8)+(7255*x**7))-(6730*x**6))+(3242*x**5))-(995*x**4))+(180*x**3))-(5*x**2)-(5*x))+1)/(x-1)**15))] }
-
-
-
-def A060581():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((((((((((((((6*x**30)-(30*x**29)-(90*x**28))+(898*x**27))-(5703*x**26))+(67854*x**25))-(552925*x**24))+(2795730*x**23))-(9663357*x**22))+(24476292*x**21))-(47540991*x**20))+(73129860*x**19))-(91373250*x**18))+(94675608*x**17))-(82549758*x**16))+(60794764*x**15))-(37293240*x**14))+(18277860*x**13))-(6426742*x**12))+(945252*x**11)+(680499*x**10))-(726250*x**9))+(423825*x**8))-(187536*x**7))+(66981*x**6))-(19092*x**5))+(4065*x**4))-(560*x**3))+(24*x**2)+(6*x))-1)/(x-1)**21)] }
-
-
-
-def A060584():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2)*(1+x**4))/(1-x**9))] }
-
-
-
-def A060589():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((3*x)-1)*((6*x)-1)))] }
-
-
-
-def A060590():
- x = SR.var('x')
- return { 'ogf': [(((4*x**3)+(2*x**2)+(2*x))/(((4*x**4)-(5*x**2))+1))] }
-
-
-
-def A060602():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((4*x**3)-(11*x**2))+(12*x))-4))/((x-1)**2*((2*x)-1)**2)))] }
-
-
-
-def A060621():
- x = SR.var('x')
- return { 'ogf': [(-((4*(((7*x**2)-(9*x))+3))/((2*x)-1)**3))] }
-
-
-
-def A060626():
- x = SR.var('x')
- return { 'ogf': [((2*((1+(4*x))-x**2))/(1-x)**3)] }
-
-
-
-def A060633():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-16)-(43*x))+(94*x**2))-(43*x**3))+(2*x**4)))/(x-1)**5)] }
-
-
-
-def A060635():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((1-x)+x**2))/((x-1)*(x**2+(3*x)+1)*((x**2-(7*x))+1))))] }
-
-
-
-def A060641():
- x = SR.var('x')
- return { 'ogf': [((x**2*((161-(226*x))+(85*x**2)))/(1-x)**3)] }
-
-
-
-def A060645():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(18*x))+x**2))] }
-
-
-
-def A060647():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((1-x)*(1-(3*x**2))))] }
-
-
-
-def A060747():
- x = SR.var('x')
- return { 'ogf': [(((3*x)-1)/(1-x)**2)] }
-
-
-
-def A060762():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(2*x))-(3*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A060783():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((1+(4*x))-(2*x**2)))/(1-x)**5)] }
-
-
-
-def A060785():
- x = SR.var('x')
- return { 'ogf': [((6*x**3*(2+(3*x)))/(1-x)**3)] }
-
-
-
-def A060786():
- x = SR.var('x')
- return { 'ogf': [((36*(x**3*(1+(30*x)+(42*x**2)+(2*x**3))))/(1-x)**5)] }
-
-
-
-def A060787():
- x = SR.var('x')
- return { 'ogf': [((18*x**3*(1+(3*x)))/(1-x)**3)] }
-
-
-
-def A060788():
- x = SR.var('x')
- return { 'ogf': [((18*x**3*(((-1)-(9*x)-(3*x**2))+x**3))/(x-1)**5)] }
-
-
-
-def A060789():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+x**3+(2*x**4)+(5*x**5)+x**6+(5*x**7)+(2*x**8)+x**9+x**10+x**11)/(x**6-1)**2)] }
-
-
-
-def A060790():
- x = SR.var('x')
- return { 'ogf': [(-(((1-x)*(1-(3*x)-(3*x**2)))/((1-(2*x)-(2*x**2)-(2*x**3))+x**4)))] }
-
-
-
-def A060791():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2)+(3*x**3)+(4*x**4)+x**5+(4*x**6)+(3*x**7)+(2*x**8)+x**9)/(1-x**5)**2)] }
-
-
-
-def A060798():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**2)-(2*x))+1)*(x**3-x**2-x-1))/(x-1)**3)] }
-
-
-
-def A060801():
- x = SR.var('x')
- return { 'ogf': [(((x**2-(2*x))+1)/(((2*x**2)-(5*x))+1))] }
-
-
-
-def A060816():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/((1-x)*(1-(3*x))))] }
-
-
-
-def A060819():
- x = SR.var('x')
- return { 'ogf': [((x**7+x**6+(3*x**5)+x**4+(3*x**3)+x**2+x)/(1-x**4)**2)] }
-
-
-
-def A060820():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(10*x)+x**2))/(1-x)**3)] }
-
-
-
-def A060823():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((-1)+x+x**2))/((1+x)*((x**3-(3*x))+1))))] }
-
-
-
-def A060824():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((x**5-(2*x**4))+(2*x**3))-x**2-1))/(((x**2-x)+1)*((x**9-(3*x**3))+1))))] }
-
-
-
-def A060827():
- x = SR.var('x')
- return { 'ogf': [(((-(2*x**2))+(2*x)+2)/((x**6-x**4-(2*x**2))+1))] }
-
-
-
-def A060836():
- x = SR.var('x')
- return { 'ogf': [((44*x**5)/(1-x)**6)] }
-
-
-
-def A060851():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(9*x)))/((9*x)-1)**2)] }
-
-
-
-def A060867():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(((1-(7*x))+(14*x**2))-(8*x**3)))] }
-
-
-
-def A060868():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((3*x)+1))/((x-1)*((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A060869():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((4*x)+1))/((x-1)*((4*x)-1)*((16*x)-1))))] }
-
-
-
-def A060870():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((5*x)+1))/((x-1)*((5*x)-1)*((25*x)-1))))] }
-
-
-
-def A060871():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((7*x)+1))/((x-1)*((7*x)-1)*((49*x)-1))))] }
-
-
-
-def A060883():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(73*x**2)+(274*x**3)+(325*x**4)+(50*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A060884():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(16*x**2)+(6*x**3)+(5*x**4))/(1-x)**5)] }
-
-
-
-def A060885():
- x = SR.var('x')
- return { 'ogf': [(-((1+(x**2*(1981+(x*(66496+(x*(534898+(x*(1364848+(x*(1233970+(x*(389104+(x*(36829+(x*(672+x)))))))))))))))))/(x-1)**11))] }
-
-
-
-def A060886():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(18*x**2)+(8*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A060887():
- x = SR.var('x')
- return { 'ogf': [(-((x**12+(2718*x**11)+(363156*x**10)+(8452952*x**9)+(59276439*x**8)+(155812164*x**7)+(167537592*x**6)+(74214648*x**5)+(12642423*x**4)+(691406*x**3)+(8100*x**2)+1)/(x-1)**13))] }
-
-
-
-def A060888():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(57*x**2)+(232*x**3)+(351*x**4)+(78*x**5)+(7*x**6))/(1-x)**7)] }
-
-
-
-def A060889():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(178*x**2)+(3154*x**3)+(14410*x**4)+(16804*x**5)+(5458*x**6)+(322*x**7)+x**8)/(1-x)**9)] }
-
-
-
-def A060891():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(71*x**2)+(290*x**3)+(309*x**4)+(52*x**5)+(3*x**6))/(1-x)**7)] }
-
-
-
-def A060892():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(232*x**2)+(4012*x**3)+(15958*x**4)+(15832*x**5)+(4096*x**6)+(196*x**7)+x**8)/(1-x)**9)] }
-
-
-
-def A060893():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(268*x**2)+(4264*x**3)+(15670*x**4)+(15544*x**5)+(4348*x**6)+(232*x**7)+x**8)/(1-x)**9)] }
-
-
-
-def A060894():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(358*x**2)+(5374*x**3)+(16930*x**4)+(14284*x**5)+(3238*x**6)+(142*x**7)+x**8)/(1-x)**9)] }
-
-
-
-def A060895():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**16)+(65503*x**15)+(41932865*x**14)+(3.572084695E9*x**13)+(8.5383240369E10*x**12)+(7.82115513931E11*x**11)+(3.207483186165E12*x**10)+(6.382798914035E12*x**9)+(6.382798938345E12*x**8)+(3.207483166717E12*x**7)+(7.82115526307E11*x**6)+(8.5383234181E10*x**5)+(3.572087075E9*x**4)+(41932185*x**3)+(65639*x**2))-(15*x))+1)/(x-1)**17))] }
-
-
-
-def A060896():
- x = SR.var('x')
- return { 'ogf': [(-((((x**12+(4020*x**11)+(478362*x**10)+(10188140*x**9)+(66317319*x**8)+(162512496*x**7)+(162514212*x**6)+(66316032*x**5)+(10188855*x**4)+(478076*x**3)+(4098*x**2))-(12*x))+1)/(x-1)**13))] }
-
-
-
-def A060899():
- x = SR.var('x')
- return { 'ogf': [((sqrt(((1+(4*x))/(1-(4*x))))-1)/4/x)] }
-
-
-
-def A060919():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((5*x**2)-(5*x))+1))/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A060925():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(2*x)-(3*x**2)))] }
-
-
-
-def A060926():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x**2))/(1-(5*x)-(4*x**3)))] }
-
-
-
-def A060927():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/(1-(5*x)-(4*x**3)))] }
-
-
-
-def A060928():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(5*x)-(4*x**3)))] }
-
-
-
-def A060929():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x-x**2))**3] }
-
-
-
-def A060930():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x-x**2))**4] }
-
-
-
-def A060931():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x-x**2))**5] }
-
-
-
-def A060932():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x-x**2))**6] }
-
-
-
-def A060933():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x-x**2))**7] }
-
-
-
-def A060934():
- x = SR.var('x')
- return { 'ogf': [((((1+(11*x))-(11*x**2))+(4*x**3))/((1-(3*x))+x**2)**2)] }
-
-
-
-def A060945():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2-x**4))] }
-
-
-
-def A060961():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x+x**3+x**5)))] }
-
-
-
-def A060995():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A060999():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/((1-x)**3*(1-x**3))),
-((((1+(4*x)+x**2)/(1-x)**4)-(1/(1+x+x**2)))/9)] }
-
-
-
-def A061003():
- x = SR.var('x')
- return { 'ogf': [((x*(x**7+(5*x**6)+x**5+(10*x**4)+x**3+(5*x**2)+x))/((1-x**5)*(1-x)**5))] }
-
-
-
-def A061004():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x**6+(5*x**5)+(16*x**4)+(16*x**3)+(16*x**2)+(5*x)+1))/((x-1)**7*(x+1)*(x**2+x+1))))] }
-
-
-
-def A061005():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**6+(5*x**5)+(16*x**4)+(16*x**3)+(16*x**2)+(5*x)+1))/((x-1)**7*(x+1)*(x**2+x+1))))] }
-
-
-
-def A061037():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-(3*x**11))-x**10-(3*x**9))+(14*x**7)+(6*x**6)+(30*x**5)+(2*x**4)+(21*x**3)+(3*x**2)+(5*x)))/(1-x**4)**3)] }
-
-
-
-def A061038():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(36*x)+(16*x**2)+(100*x**3)+(6*x**4)+(88*x**5)+(16*x**6)+(24*x**7)+x**8+(4*x**9)+(4*x**11)))/(1-x**4)**3)] }
-
-
-
-def A061099():
- x = SR.var('x')
- return { 'ogf': [((1+(63*x)+(34*x**2)+(63*x**3)+x**4)/((1-x)**3*(1+x)**2))] }
-
-
-
-def A061100():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**4)+(45*x**3)+(64*x**2)+(45*x)+4))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A061101():
- x = SR.var('x')
- return { 'ogf': [((x*(16+(9*x)+(112*x**2)+(9*x**3)+(16*x**4)))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A061165():
- x = SR.var('x')
- return { 'ogf': [((x*((((2-(7*x))+(10*x**2))-(8*x**3))+(6*x**4)))/(1-x)**5)] }
-
-
-
-def A061166():
- x = SR.var('x')
- return { 'ogf': [((x*((((((2-(11*x))+(26*x**2))-(35*x**3))+(32*x**4))-(29*x**5))+(38*x**6)))/(1-x)**7)] }
-
-
-
-def A061169():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(((1+(29*x))-(35*x**2))+(12*x**3)))/((1-(3*x))+x**2)**3)] }
-
-
-
-def A061170():
- x = SR.var('x')
- return { 'ogf': [((((((1+(58*x)+(123*x**2))-(278*x**3))+(193*x**4))-(72*x**5))+(16*x**6))/((1-(3*x))+x**2)**4)] }
-
-
-
-def A061171():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(3-(2*x)))/((1-(3*x))+x**2)**2)] }
-
-
-
-def A061172():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))*(((4*x**3)-(9*x**2))+(15*x)+3))/((1-(3*x))+x**2)**3)] }
-
-
-
-def A061173():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(3-(2*x))*(((1+(11*x))-(11*x**2))+(4*x**3)))/((1-(3*x))+x**2)**4)] }
-
-
-
-def A061174():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))*(((((16*x**6)-(56*x**5))+(181*x**4))-(306*x**3))+(171*x**2)+(110*x)+5))/((1-(3*x))+x**2)**5)] }
-
-
-
-def A061175():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(3-(2*x))*(((12*x**3)-(35*x**2))+(29*x)+1)*(((4*x**3)-(9*x**2))+(15*x)+3))/((1-(3*x))+x**2)**6)] }
-
-
-
-def A061178():
- x = SR.var('x')
- return { 'ogf': [((1-x**3)/((1-(3*x))+x**2)**3)] }
-
-
-
-def A061179():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-(5*x**2))+(2*x**3)+x**4)/((1-(3*x))+x**2)**4)] }
-
-
-
-def A061180():
- x = SR.var('x')
- return { 'ogf': [((((1-x**5)+(5*(x-x**4)))-(15*(x**2-x**3)))/((1-(3*x))+x**2)**5)] }
-
-
-
-def A061181():
- x = SR.var('x')
- return { 'ogf': [((((1+x**6+(9*(x+x**5)))-(30*(x**2+x**4)))+(41*x**3))/((1-(3*x))+x**2)**6)] }
-
-
-
-def A061182():
- x = SR.var('x')
- return { 'ogf': [(((3*(1+x**2))-(5*x))/((1-(3*x))+x**2)**3)] }
-
-
-
-def A061183():
- x = SR.var('x')
- return { 'ogf': [((1-x**3-(2*(x-x**2)))/((1-(3*x))+x**2)**4)] }
-
-
-
-def A061184():
- x = SR.var('x')
- return { 'ogf': [((((5*(1+x**4))-(10*(x+x**3)))+(11*x**2))/((1-(3*x))+x**2)**5)] }
-
-
-
-def A061185():
- x = SR.var('x')
- return { 'ogf': [((((3*(1-x**5))-(5*(x-x**4)))+(3*(x**2-x**3)))/((1-(3*x))+x**2)**6)] }
-
-
-
-def A061222():
- x = SR.var('x')
- return { 'ogf': [((((2*x**4)-(7*x**3))+(7*x**2)+(5*x)+17)/(1-x)**5)] }
-
-
-
-def A061223():
- x = SR.var('x')
- return { 'ogf': [((((33+(62*x)+(48*x**2))-(30*x**3))+(7*x**4))/(1-x)**6)] }
-
-
-
-def A061225():
- x = SR.var('x')
- return { 'ogf': [((2*((((((381-(489*x))+(1124*x**2))-(1148*x**3))+(687*x**4))-(227*x**5))+(32*x**6)))/(1-x)**7)] }
-
-
-
-def A061263():
- x = SR.var('x')
- return { 'ogf': [((x**3*((3-(2*x))+x**2))/((1+x+x**2)*(x-1)**4))] }
-
-
-
-def A061278():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*((1-(4*x))+x**2)))] }
-
-
-
-def A061279():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/(1-(2*x**2)-(2*x**3)))] }
-
-
-
-def A061316():
- x = SR.var('x')
- return { 'ogf': [((-(3*(x+x**3)))/((-1)+x)**5)] }
-
-
-
-def A061317():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+x)**2)/(x-1)**4)] }
-
-
-
-def A061318():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(1+x+(22*x**2)+(22*x**3)+(22*x**4)+x**5+x**6))/(x-1)**9))] }
-
-
-
-def A061319():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+(22*x**2)+(22*x**3)+(22*x**4)+x**5+x**6))/(x-1)**9))] }
-
-
-
-def A061347():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1+x+x**2))] }
-
-
-
-def A061349():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(4*x**3)+(4*x**2)+(4*x)+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A061495():
- x = SR.var('x')
- return { 'ogf': [((6*((10*x**6)+(28*x**5)+(125*x**4)+(70*x**3)+(80*x**2)+(10*x)+1))/((x-1)**4*(x+1)**4))] }
-
-
-
-def A061506():
- x = SR.var('x')
- return { 'ogf': [((12+(120*x**6)+(336*x**5)+(1500*x**4)+(840*x**3)+(960*x**2)+(120*x))/((x-1)**4*(x+1)**4))] }
-
-
-
-def A061532():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3*x**10)+(24*x**9)+(82*x**8)+(96*x**7)+(99*x**6)+(112*x**5)+(99*x**4)+(96*x**3)+(82*x**2)+(24*x)+3))/((x-1)**8*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A061534():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(x+1))/((x**3-x**2-(3*x))+1)))] }
-
-
-
-def A061550():
- x = SR.var('x')
- return { 'ogf': [((((15+(45*x))-(15*x**2))+(3*x**3))/(x-1)**4)] }
-
-
-
-def A061551():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((1-x)*(1-(3*x**2)-x**3))),
-(1/(1-(x/(1-(x/(1+(x/(1+(x/(1-(x/(1-(x/(1+x))))))))))))))] }
-
-
-
-def A061561():
- x = SR.var('x')
- return { 'ogf': [((((22+(35*x)+(18*x**2))-(72*x**4)-(90*x**5)-(48*x**6)-(60*x**7))+(80*x**8)+(112*x**9))/((1-x)*(1+x)*(1-(2*x**2))*(1-(2*x**4))))] }
-
-
-
-def A061570():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(6*x))-(4*x**2)))/(1-x)**2)] }
-
-
-
-def A061593():
- x = SR.var('x')
- return { 'ogf': [((x*(((12-(29*x))+(33*x**2))-(9*x**3)))/(((1-(3*x))+x**2)*(1-(3*x))**2))] }
-
-
-
-def A061600():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(9*x**2))-x**3)/(1-x)**4)] }
-
-
-
-def A061639():
- x = SR.var('x')
- return { 'ogf': [((1/2)*(1-sqrt((1-((4*(x+x**2))/(1+x+x**2)))))),
-(((1+x+x**2)-sqrt((1-(2*x)-(5*x**2)-(6*x**3)-(3*x**4))))/(2*(1+x+x**2)))] }
-
-
-
-def A061646():
- x = SR.var('x')
- return { 'ogf': [((1/x)+((1-x-x**2)/((1+x)*((1-(3*x))+x**2))))] }
-
-
-
-def A061647():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A061648():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(4*x))+(8*x**2))-(9*x**3))+(2*x**5)))/((1-x)*((1-(3*x))+x**2)**3))] }
-
-
-
-def A061654():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-x)*(1-(16*x))))] }
-
-
-
-def A061667():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((1-(2*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A061679():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-17)-(19*x)-(31*x**2))+(7*x**3)))/(x-1)**4))] }
-
-
-
-def A061703():
- x = SR.var('x')
- return { 'ogf': [((2*x*((2-(2*x)-(3*x**2))+(2*x**3)))/(((1-(3*x)-x**2)+x**3)*(1-x)))] }
-
-
-
-def A061705():
- x = SR.var('x')
- return { 'ogf': [((x*((2+x)-(2*x**2)-(2*x**3)))/(1-x-x**2)**2)] }
-
-
-
-def A061706():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x-1)**8)/((((((((((4*x**9)+x**8)-(79*x**7))+(166*x**6))-(225*x**5))+(206*x**4))-(129*x**3))+(50*x**2))-(11*x))+1))] }
-
-
-
-def A061709():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((64*x**4)+(16*x**3))-(12*x**2)-(6*x))+1))/(((2*x)-1)*((8*x)-1)*((8*x**2)-1))))] }
-
-
-
-def A061722():
- x = SR.var('x')
- return { 'ogf': [((((-7)+(4*x))-(17*x**2))/(x-1)**3)] }
-
-
-
-def A061776():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+x**2))/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A061777():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+x**2))/((1-x)**2*(1-(2*x**2))))] }
-
-
-
-def A061801():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(6*x))/(1-x))] }
-
-
-
-def A061803():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2*(1+(10*x)+x**2))/(1-x)**6)] }
-
-
-
-def A061804():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+x)**2)/(1-x)**4)] }
-
-
-
-def A061866():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x)*(1+x**2)*(1+x**3))/((1-x)*(1-x**2)*(1-x**3)*(1-x**4))),
-((x**3*((1-x)+x**2))/((1+x+x**2)*(x-1)**4))] }
-
-
-
-def A061891():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)+(3*x**2)+1)/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A061925():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+(2*x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A061927():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**3)/((-1)+x)**6)] }
-
-
-
-def A061981():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1-(3*x))*(1-x)**2))] }
-
-
-
-def A061991():
- x = SR.var('x')
- return { 'ogf': [((2*x**5*(((((((((4*x**11)-(11*x**10))+(16*x**9)+(7*x**8))-(32*x**7))+(38*x**6)+(6*x**5)+(8*x**4))-(8*x**3))+(37*x**2))-(10*x))+5))/(x-1)**6)] }
-
-
-
-def A061992():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**6*(((((((((((((((4*x**17)-(12*x**16))+(12*x**15)+(10*x**14))-(10*x**13))+(40*x**12))-(278*x**11))+(677*x**10))-(582*x**9)-(62*x**8))+(654*x**7))-(501*x**6))+(293*x**5))-(46*x**4))+(138*x**3))-(12*x**2))+(33*x)+2))/(x-1)**7))] }
-
-
-
-def A061993():
- x = SR.var('x')
- return { 'ogf': [((2*x**7*(((((((((((((((((((510*x**18)-(142*x**17)-(88*x**3))+(1292*x**4))-(1356*x**5))+(2019*x**6)+(264*x**7))-(2857*x**8))+(6472*x**9))-(7616*x**10))+(7462*x**11))-(7831*x**12))+(8326*x**13))-(5672*x**14))+(1998*x**15))-(308*x**16)-(4*x))+(331*x**2)+20)-(140*x**22))+(320*x**21))-(220*x**20)-(284*x**19))+(24*x**23)))/(x-1)**8)] }
-
-
-
-def A061994():
- x = SR.var('x')
- return { 'ogf': [(-(((574*x**16)+(3804*x**15)+(13522*x**14)+(29768*x**13)+(2*x**4)+(46890*x**12)+(76*x**5)+(53580*x**11)+(734*x**6)+(46304*x**10)+(3992*x**7)+(29356*x**9)+(13318*x**8))/((((((((((-1)+x**17)-(3*x**16)-x**15)+(9*x**14))-(12*x**12)-(7*x**11))+(15*x**10)+(16*x**9))-(16*x**8)-(15*x**7))+(7*x**6)+(12*x**5))-(9*x**3))+x**2+(3*x))))] }
-
-
-
-def A061995():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((x**2+x)-8))/(x-1)**5)] }
-
-
-
-def A061996():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**3*(((2+(21*x)+(38*x**2))-(42*x**3))+(11*x**4)))/(x-1)**7))] }
-
-
-
-def A061997():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((30*x**8)-(361*x**7))+(1186*x**6))-(1060*x**5)-(1209*x**4))+(1711*x**3)+(1312*x**2)+(70*x)+1))/(x-1)**9))] }
-
-
-
-def A061998():
- x = SR.var('x')
- return { 'ogf': [((2*x**5*((((((-987)-(19768*x**2)-(10327*x)-(958*x**8))+(18152*x**3)+(2711*x**4)+(98*x**9))-(1774*x**6))+(2882*x**7))-(5149*x**5)))/(x-1)**11)] }
-
-
-
-def A062074():
- x = SR.var('x')
- return { 'ogf': [((3*x*((9*x**2)+(12*x)+1))/((3*x)-1)**4)] }
-
-
-
-def A062075():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((4*x)+1)*((16*x**2)+(40*x)+1))/((4*x)-1)**5))] }
-
-
-
-def A062092():
- x = SR.var('x')
- return { 'ogf': [((2+(3*x))/(1-x-(2*x**2)))] }
-
-
-
-def A062109():
- x = SR.var('x')
- return { 'ogf': [((1-x)**4/(1-(2*x))**4)] }
-
-
-
-def A062112():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-(2*x**2)))/((1-(4*x**2))+(2*x**4)))] }
-
-
-
-def A062113():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2-x**3)/((1-(4*x**2))+(2*x**4)))] }
-
-
-
-def A062114():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-x)+x**2))/((x-1)*(1+x)*((x**2+x)-1))))] }
-
-
-
-def A062116():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+(4*x**3)+(9*x**4))/((1-x)*(1+x**4)))] }
-
-
-
-def A062123():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(2+x))/(1-x)**3)] }
-
-
-
-def A062124():
- x = SR.var('x')
- return { 'ogf': [((3+(14*x)+(8*x**2)+(2*x**3))/(1-x)**4)] }
-
-
-
-def A062125():
- x = SR.var('x')
- return { 'ogf': [((5+(33*x**2)+(10*x**3)+(31*x)+(2*x**4))/(1-x)**5)] }
-
-
-
-def A062126():
- x = SR.var('x')
- return { 'ogf': [(((x+2)*((2*x**4)+(8*x**3)+(36*x**2)+(31*x)+4))/(1-x)**6)] }
-
-
-
-def A062127():
- x = SR.var('x')
- return { 'ogf': [(((2*x**6)+(14*x**5)+(72*x**4)+(207*x**3)+(289*x**2)+(132*x)+13)/(1-x)**7)] }
-
-
-
-def A062157():
- x = SR.var('x')
- return { 'ogf': [(x/(1+x))] }
-
-
-
-def A062158():
- x = SR.var('x')
- return { 'ogf': [((((4*x)-1)*(1+x**2))/(1-x)**4)] }
-
-
-
-def A062159():
- x = SR.var('x')
- return { 'ogf': [((((76*x**3)+(6*x**2)+(27*x**4)+(6*x**5)+(6*x))-1)/(1-x)**6)] }
-
-
-
-def A062189():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x+1))/(1-(3*x))**3)] }
-
-
-
-def A062200():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**4-x**3-(2*x**2))+1)))] }
-
-
-
-def A062201():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3-x-1)*(x**3-x**2-1))/(((x**9-x**8-x**7-(2*x**6))+x**5+x**4+(4*x**3))-1)))] }
-
-
-
-def A062202():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-x-1)*(x**4-x**2-1)*(x**4-x**3-1))/((((x**16-x**15-x**14-(3*x**12))+(3*x**11)+x**10+(2*x**9)+(6*x**8))-x**7-(3*x**6)-(2*x**5)-(5*x**4)-x**3)+1)))] }
-
-
-
-def A062203():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5-x-1)*(x**5-x**2-1)*(x**5-x**3-1)*(x**5-x**4-1))/(((((x**25-x**24-x**23-(3*x**20))+(3*x**19)+(3*x**18)+x**17+x**16+(9*x**15))-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(9*x**10))+(2*x**9)+(2*x**8)+(4*x**7)+(4*x**6)+(7*x**5)+x**4+x**3)-1)))] }
-
-
-
-def A062257():
- x = SR.var('x')
- return { 'ogf': [(((1+x**5+x**6+x**7)-x**9)/(((1+x**5)-x**6-x**9-(2*x)-x**8)+x**10))] }
-
-
-
-def A062258():
- x = SR.var('x')
- return { 'ogf': [((1+x**3+x**6)/(((((1-(2*x))+x**3)-(2*x**4))+x**6)-x**7))] }
-
-
-
-def A062259():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+x**4+(2*x**5)+(3*x**6)+(3*x**7)+(2*x**8)+x**9)/(1-x-x**2-x**3-x**4-(2*x**7)-(2*x**8)-x**9-x**10))] }
-
-
-
-def A062317():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(6*x**2)+x**3+x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A062318():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/((1-x)*(1-(3*x**2))))] }
-
-
-
-def A062346():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(30*x)+(15*x**2)))/(1-x)**5)] }
-
-
-
-def A062392():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x*(x+10))+1))/(x-1)**5))] }
-
-
-
-def A062393():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(26*x**3)+(66*x**2)+(26*x)+1))/((x-1)**6*(x+1)))] }
-
-
-
-def A062394():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(6*x))))] }
-
-
-
-def A062395():
- x = SR.var('x')
- return { 'ogf': [(-(((-2)+(9*x))/((-1)+x)/((-1)+(8*x))))] }
-
-
-
-def A062396():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(9*x))))] }
-
-
-
-def A062397():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(10*x))))] }
-
-
-
-def A062510():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1+x)*(1-(2*x))))] }
-
-
-
-def A062544():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*((1-(2*x))+x**4)))] }
-
-
-
-def A062547():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(5*x**2))/((1+x)*(1-(3*x**2))))] }
-
-
-
-def A062708():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(7*x)))/(1-x)**3)] }
-
-
-
-def A062709():
- x = SR.var('x')
- return { 'ogf': [((4-(7*x))/((1-(2*x))*(1-x)))] }
-
-
-
-def A062717():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+x+x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A062723():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+(3*x**3)+(9*x**4)+(6*x**5)+(18*x**6))/(1-(3*x**3)))] }
-
-
-
-def A062725():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(2*x)))/(1-x)**3)] }
-
-
-
-def A062728():
- x = SR.var('x')
- return { 'ogf': [((x*(8+x))/(1-x)**3)] }
-
-
-
-def A062741():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A062783():
- x = SR.var('x')
- return { 'ogf': [((3*x*(3+(5*x)))/(1-x)**3)] }
-
-
-
-def A062786():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(8*x)+x**2))/(x-1)**3))] }
-
-
-
-def A062828():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(6*x**2)+(2*x**3)+(3*x**4)+x**5+(2*x**6)))/((x-1)**2*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A062882():
- x = SR.var('x')
- return { 'ogf': [(((4-(9*x))+(3*x**3))/((1-(3*x))+(3*x**3)))] }
-
-
-
-def A062883():
- x = SR.var('x')
- return { 'ogf': [((x*((4-(4*x)-(15*x**2))+(8*x**3)+(5*x**4)))/(((1-(4*x))+(2*x**2)+(5*x**3))-(2*x**4)-x**5))] }
-
-
-
-def A062890():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+x+x**5))/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**6)))] }
-
-
-
-def A062938():
- x = SR.var('x')
- return { 'ogf': [((((1+(20*x)+(6*x**2))-(4*x**3))+x**4)/(1-x)**5)] }
-
-
-
-def A063092():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(11*x**2)))] }
-
-
-
-def A063093():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+(4*x)+x**2))/((1-x)**2*(1+x)))] }
-
-
-
-def A063097():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3+(2*x**2)+(5*x)+2))/((x-1)**2*(x+1)))] }
-
-
-
-def A063105():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(9*x)+(13*x**2)+(10*x**3)+(3*x**4)+x**5))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063110():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(10*x)+x**2))/(1-x)**2)] }
-
-
-
-def A063126():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(x**2+(6*x)+3))/((x-1)**2*(x+1)))] }
-
-
-
-def A063129():
- x = SR.var('x')
- return { 'ogf': [((x*(x**5+(5*x**4)+(16*x**3)+(21*x**2)+(15*x)+4))/((x-1)**2*(x+1)*(x**2+x+1)))] }
-
-
-
-def A063140():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(18*x)+x**2))/(1-x)**2)] }
-
-
-
-def A063157():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(15*x)+(7*x**2)+x**3))/((1-x)**2*(1+x)))] }
-
-
-
-def A063161():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(9+(12*x)+(10*x**2)+x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A063196():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**2-(2*x)-1))/((x-1)**2*(x+1))))] }
-
-
-
-def A063197():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)+x**3))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063203():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(5*x)+(7*x**2)+(6*x**3)+(3*x**4))-x**5))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063204():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(7*x)+(6*x**2)+(3*x**3)))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063206():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3-(4*x**2)-(5*x)-2))/((x-1)**2*(x+1))))] }
-
-
-
-def A063207():
- x = SR.var('x')
- return { 'ogf': [((x*(x**5+(5*x**3)+(7*x**2)+(6*x)+1))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063208():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**5))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A063210():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3-(3*x**2)-x-1))/((x-1)**2*(x+1))))] }
-
-
-
-def A063212():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**2)+(3*x**3)+x**4))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063214():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(9*x**2)+(5*x**3)+x**5))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063215():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(11*x)+(15*x**2)+(12*x**3)+(5*x**4))-x**5))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063216():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(13*x**2)+(13*x**3)+(6*x**4)))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063217():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(5*x)+(5*x**2)+(5*x**3)+(2*x**4)))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063219():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4-(6*x**3)-(8*x**2)-(9*x)-4))/((x-1)**2*(x**2+x+1))))] }
-
-
-
-def A063223():
- x = SR.var('x')
- return { 'ogf': [((x*((5+(14*x)+(19*x**2)+(15*x**3)+(6*x**4))-x**5))/((1-x)**2*(1+x)*(1+x+x**2)))] }
-
-
-
-def A063227():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**5-(4*x**4)-(5*x**3)-(5*x**2)-(4*x)-3))/((x-1)**2*(x+1)*(x**2+x+1))))] }
-
-
-
-def A063232():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3+(3*x**2)+(11*x)+5))/((x-1)**2*(x+1)))] }
-
-
-
-def A063249():
- x = SR.var('x')
- return { 'ogf': [(-((x*((15*x**3)+(115*x**2)+(61*x)+1))/(x-1)**5))] }
-
-
-
-def A063262():
- x = SR.var('x')
- return { 'ogf': [(((((4-(5*x))+(5*x**3))-(4*x**4))+x**5)/(1-x)**8)] }
-
-
-
-def A063263():
- x = SR.var('x')
- return { 'ogf': [(((((3-(10*x**2))+(15*x**3))-(9*x**4))+(2*x**5))/(1-x)**9)] }
-
-
-
-def A063264():
- x = SR.var('x')
- return { 'ogf': [((((((2+(5*x))-(20*x**2))+(25*x**3))-(14*x**4))+(3*x**5))/(1-x)**10)] }
-
-
-
-def A063267():
- x = SR.var('x')
- return { 'ogf': [(((2-x)*((1-x)+x**2)*((3-(3*x))+x**2))/(1-x)**8)] }
-
-
-
-def A063276():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((x**9-x**8-x**7-(2*x**4))+x**3)-x)+1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1))))] }
-
-
-
-def A063279():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((x**9-(2*x**8))+(2*x**6))-(2*x**5))+(3*x**4)+x)-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063281():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((2*x**5)+(3*x**4)+(3*x**3)+(2*x**2))-1))/((x-1)**2*(x+1)**2*(x**2+1)))] }
-
-
-
-def A063285():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((x**8-(5*x**7))+x**6)-(5*x**5)-(2*x**4)-x**3-(3*x**2)-x)+1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1))))] }
-
-
-
-def A063288():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(7*x**7)+(5*x**6)+(9*x**5)+(9*x**4)+(5*x**3)+(7*x**2)+(2*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063289():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+(3*x)+(6*x**2)+x**3))/((1-x-x**2)+x**3))] }
-
-
-
-def A063294():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(2*x**8)+(13*x**7)+(11*x**6)+(17*x**5)+(19*x**4)+(11*x**3)+(13*x**2)+(6*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063297():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**6+(9*x**5)+(15*x**4)+(12*x**3)+(13*x**2)+(5*x))-1))/((x-1)**2*(x+1)**2*(x**2+1)))] }
-
-
-
-def A063300():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((7*x**4)+(22*x**3)+(22*x**2)+(14*x))-1))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A063303():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**9-(9*x**7)-(3*x**6)-(5*x**5)-(13*x**4)-(3*x**3)-(5*x**2)-(8*x))+1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1))))] }
-
-
-
-def A063305():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+(15*x)+(4*x**2)))/(1-x)**2)] }
-
-
-
-def A063306():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(6*x**8)+(31*x**7)+(29*x**6)+(39*x**5)+(51*x**4)+(29*x**3)+(31*x**2)+(20*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063312():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(8*x**8)+(43*x**7)+(41*x**6)+(53*x**5)+(73*x**4)+(41*x**3)+(43*x**2)+(30*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063313():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((5*x**6)+(31*x**5)+(51*x**4)+(48*x**3)+(45*x**2)+(19*x))-1))/((x-1)**2*(x+1)**2*(x**2+1)))] }
-
-
-
-def A063315():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**9-(15*x**7)-(9*x**6)-(11*x**5)-(25*x**4)-(9*x**3)-(11*x**2)-(14*x))+1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1))))] }
-
-
-
-def A063319():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((x**11-x**10)+(20*x**9)+(44*x**8)+(65*x**7)+(89*x**6)+(89*x**5)+(89*x**4)+(66*x**3)+(44*x**2)+(21*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A063321():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+(24*x)+(27*x**2)+(4*x**3)))/((1-x)**2*(1+x)))] }
-
-
-
-def A063324():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(12*x**8)+(73*x**7)+(71*x**6)+(87*x**5)+(129*x**4)+(71*x**3)+(73*x**2)+(56*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063327():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**4-(23*x**3)-(20*x**2)-(23*x))+1))/((x-1)**2*(x**2+x+1))))] }
-
-
-
-def A063329():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((9*x**6)+(62*x**5)+(105*x**4)+(102*x**3)+(95*x**2)+(42*x))-1))/((x-1)**2*(x+1)**2*(x**2+1)))] }
-
-
-
-def A063330():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(14*x**8)+(91*x**7)+(89*x**6)+(107*x**5)+(163*x**4)+(89*x**3)+(91*x**2)+(72*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063333():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((7*x**8)+(35*x**7)+(44*x**6)+(37*x**5)+(78*x**4)+(37*x**3)+(36*x**2)+(35*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063337():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+(63*x)+(10*x**2)))/(1-x)**2)] }
-
-
-
-def A063339():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**9-(33*x**7)-(27*x**6)-(29*x**5)-(61*x**4)-(27*x**3)-(29*x**2)-(32*x))+1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1))))] }
-
-
-
-def A063342():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(18*x**8)+(133*x**7)+(131*x**6)+(153*x**5)+(243*x**4)+(131*x**3)+(133*x**2)+(110*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063345():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((8*x**6)+(73*x**5)+(129*x**4)+(129*x**3)+(120*x**2)+(55*x))-1))/((x-1)**2*(x+1)**2*(x**2+1)))] }
-
-
-
-def A063348():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((20*x**8)+(139*x**7)+(139*x**6)+(156*x**5)+(259*x**4)+(137*x**3)+(137*x**2)+(120*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063351():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**9-(45*x**7)-(39*x**6)-(41*x**5)-(85*x**4)-(39*x**3)-(41*x**2)-(44*x))+1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1))))] }
-
-
-
-def A063353():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+(87*x)+(99*x**2)+(13*x**3)))/((1-x)**2*(1+x)))] }
-
-
-
-def A063357():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((11*x**8)+(77*x**7)+(86*x**6)+(83*x**5)+(158*x**4)+(79*x**3)+(78*x**2)+(73*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063360():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(24*x**8)+(211*x**7)+(209*x**6)+(237*x**5)+(393*x**4)+(209*x**3)+(211*x**2)+(182*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063361():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((17*x**6)+(151*x**5)+(267*x**4)+(264*x**3)+(249*x**2)+(115*x))-1))/((x-1)**2*(x+1)**2*(x**2+1)))] }
-
-
-
-def A063366():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**9+(26*x**8)+(241*x**7)+(239*x**6)+(269*x**5)+(451*x**4)+(239*x**3)+(241*x**2)+(210*x))-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A063369():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+(100*x)+(9*x**2)))/(1-x)**2)] }
-
-
-
-def A063376():
- x = SR.var('x')
- return { 'ogf': [((1/x)+((2-(6*x))/((1-(2*x))*(1-(4*x)))))] }
-
-
-
-def A063395():
- x = SR.var('x')
- return { 'ogf': [(((4*x)/sqrt(((1-(10*x))+(9*x**2))))+((1-(2*x))/(1-x)))] }
-
-
-
-def A063417():
- x = SR.var('x')
- return { 'ogf': [((((((5-(9*x))+(5*x**2)+(5*x**3))-(9*x**4))+(5*x**5))-x**6)/(1-x)**9)] }
-
-
-
-def A063418():
- x = SR.var('x')
- return { 'ogf': [((((((4-(3*x)-(10*x**2))+(25*x**3))-(24*x**4))+(11*x**5))-(2*x**6))/(1-x)**10)] }
-
-
-
-def A063436():
- x = SR.var('x')
- return { 'ogf': [((3*x*(5+(3*x)))/(1-x)**3)] }
-
-
-
-def A063462():
- x = SR.var('x')
- return { 'ogf': [((x*((9*x**18)+(16*x**17)+(21*x**16)+(24*x**15)+(25*x**14)+(24*x**13)+(21*x**12)+(16*x**11)+(9*x**10)+(81*x**8)+(64*x**7)+(49*x**6)+(36*x**5)+(25*x**4)+(16*x**3)+(9*x**2)+(4*x)+1))/((x-1)**2*(x+1)**2*((((x**4-x**3)+x**2)-x)+1)**2*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A063481():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(8*x))))] }
-
-
-
-def A063488():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2))/(1-x)**4)] }
-
-
-
-def A063489():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(3*x)+x**2))/(1-x)**4)] }
-
-
-
-def A063490():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(5*x)+x**2))/(1-x)**4)] }
-
-
-
-def A063491():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(7*x)+x**2))/(1-x)**4)] }
-
-
-
-def A063492():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(9*x)+x**2))/(1-x)**4)] }
-
-
-
-def A063493():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(11*x)+x**2))/(1-x)**4)] }
-
-
-
-def A063494():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(12*x)+x**2))/(1-x)**4)] }
-
-
-
-def A063495():
- x = SR.var('x')
- return { 'ogf': [((x**3+(14*x**2)+(14*x)+1)/(x-1)**4)] }
-
-
-
-def A063497():
- x = SR.var('x')
- return { 'ogf': [((60*x*(1+x))/(1-x)**4)] }
-
-
-
-def A063498():
- x = SR.var('x')
- return { 'ogf': [((4*x*((8-(6*x))+(3*x**2)))/(1-x)**4)] }
-
-
-
-def A063521():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+x**2))/(1-x)**4)] }
-
-
-
-def A063522():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(13*x)+x**2))/(1-x)**4)] }
-
-
-
-def A063523():
- x = SR.var('x')
- return { 'ogf': [((x+(14*x**2)+x**3)/(x-1)**4)] }
-
-
-
-def A063727():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A063757():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(2*x**2))/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A063758():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(2*x**2)+x**3)/((1-x-x**2)*(1-x)))] }
-
-
-
-def A063759():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(2*x**2))/(1-(2*x**2)))] }
-
-
-
-def A063782():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A063808():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x)+(4*x**2))-(2*x**3))/(1-x))] }
-
-
-
-def A063809():
- x = SR.var('x')
- return { 'ogf': [((1+(88*x)+(28*x**2))/((1-(20*x))+(28*x**2)))] }
-
-
-
-def A063810():
- x = SR.var('x')
- return { 'ogf': [((1+x+(4*x**2)+(11*x**3)+(8*x**4)+(21*x**5)+(6*x**6)+(9*x**7)+x**8)/((1-x)**4*(1+x+x**2)*(1+x**2)))] }
-
-
-
-def A063812():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**2*(x**2+1))/((x**4-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A063813():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**6))/(((1-(11*x))+(11*x**6))-x**7))] }
-
-
-
-def A063814():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**8))/(((1-(15*x))+(15*x**8))-x**9))] }
-
-
-
-def A063815():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**10))/(((1-(19*x))+(19*x**10))-x**11))] }
-
-
-
-def A063816():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**12))/(((1-(23*x))+(23*x**12))-x**13))] }
-
-
-
-def A063817():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**14))/(((1-(27*x))+(27*x**14))-x**15))] }
-
-
-
-def A063818():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**16))/(((1-(31*x))+(31*x**16))-x**17))] }
-
-
-
-def A063819():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**18))/(((1-(35*x))+(35*x**18))-x**19))] }
-
-
-
-def A063820():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**20))/(((1-(39*x))+(39*x**20))-x**21))] }
-
-
-
-def A063821():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**22))/(((1-(43*x))+(43*x**22))-x**23))] }
-
-
-
-def A063822():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**24))/(((1-(47*x))+(47*x**24))-x**25))] }
-
-
-
-def A063823():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2)-(3*x**3))/((1-x**3)*(1-(2*x))))] }
-
-
-
-def A063842():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x)+(7*x**2)+(3*x**3)+x**4)*(1+x))/(1-x)**7)] }
-
-
-
-def A063886():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1+(2*x))/(1-(2*x))))] }
-
-
-
-def A063914():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+x**3))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A063920():
- x = SR.var('x')
- return { 'ogf': [((10+(14*x))/(1-(2*x**2)))] }
-
-
-
-def A063941():
- x = SR.var('x')
- return { 'ogf': [(17/(1-(39*x)))] }
-
-
-
-def A064017():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(3*x**2))*x)/(1-(3*x))**2)] }
-
-
-
-def A064038():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+(4*x**3)+x**6))/((x-1)**3*(1+x**2)**3)))] }
-
-
-
-def A064043():
- x = SR.var('x')
- return { 'ogf': [((3*x*((1+(2*x))-x**2))/(1-x)**4)] }
-
-
-
-def A064046():
- x = SR.var('x')
- return { 'ogf': [((5*x*((7*x**2)+(10*x)+1))/(x-1)**4)] }
-
-
-
-def A064054():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)*((5-(5*x))+x**2))/(1-x)**10)] }
-
-
-
-def A064055():
- x = SR.var('x')
- return { 'ogf': [((((((3+(4*x))-(16*x**2))+(15*x**3))-(6*x**4))+x**5)/(1-x)**9)] }
-
-
-
-def A064056():
- x = SR.var('x')
- return { 'ogf': [((((3-(2*x)-(2*x**2))+(3*x**3))-x**4)/(1-x)**7)] }
-
-
-
-def A064057():
- x = SR.var('x')
- return { 'ogf': [(((((2+(2*x))-(8*x**2))+(7*x**3))-(2*x**4))/(1-x)**8)] }
-
-
-
-def A064058():
- x = SR.var('x')
- return { 'ogf': [(((((1+(6*x))-(14*x**2))+(11*x**3))-(3*x**4))/(1-x)**9)] }
-
-
-
-def A064062():
- x = SR.var('x')
- return { 'ogf': [((3-sqrt((1-(8*x))))/(2*(x+1)))] }
-
-
-
-def A064063():
- x = SR.var('x')
- return { 'ogf': [(6/(5+sqrt((1-(12*x)))))] }
-
-
-
-def A064096():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+(8*x)+x**2))/(1-x)**4)] }
-
-
-
-def A064108():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(20*x))))] }
-
-
-
-def A064195():
- x = SR.var('x')
- return { 'ogf': [((9*x**4*(((91+(1013*x)+(63*x**2))-(109*x**3))+(22*x**4)))/(1-x)**7)] }
-
-
-
-def A064197():
- x = SR.var('x')
- return { 'ogf': [((324*x**4*(1+(2*x)))/(1-x)**5)] }
-
-
-
-def A064198():
- x = SR.var('x')
- return { 'ogf': [((12*x**4*((7+(4*x))-(2*x**2)))/(1-x)**5)] }
-
-
-
-def A064199():
- x = SR.var('x')
- return { 'ogf': [((9*x**3*((1+(9*x)+(3*x**2))-x**3))/(1-x)**5)] }
-
-
-
-def A064201():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+(5*x)))/(1-x)**3)] }
-
-
-
-def A064202():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(10*x)+(7*x**2)+(2*x**3)))/(1-x)**7)] }
-
-
-
-def A064203():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(23+(145*x)+(230*x**2)+(135*x**3)+(25*x**4)+(2*x**5)))/(1-x)**10)] }
-
-
-
-def A064204():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((4+(80*x)+(120*x**2)+(45*x**3)+(70*x**4))-(59*x**5))+(20*x**6)))/(1-x)**10)] }
-
-
-
-def A064225():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(3*x**2))/(1-x)**3)] }
-
-
-
-def A064302():
- x = SR.var('x')
- return { 'ogf': [((1+(37*x)+(181*x**2)+(111*x**3)+(6*x**4))/(1-x)**5)] }
-
-
-
-def A064303():
- x = SR.var('x')
- return { 'ogf': [((1+(126*x)+(1530*x**2)+(2624*x**3)+(741*x**4)+(18*x**5))/(1-x)**6)] }
-
-
-
-def A064304():
- x = SR.var('x')
- return { 'ogf': [((1+(422*x)+(11607*x**2)+(43940*x**3)+(34063*x**4)+(4950*x**5)+(57*x**6))/(1-x)**7)] }
-
-
-
-def A064305():
- x = SR.var('x')
- return { 'ogf': [((1+(1422*x)+(83823*x**2)+(616894*x**3)+(1013799*x**4)+(412698*x**5)+(33337*x**6)+(186*x**7))/(1-x)**8)] }
-
-
-
-def A064321():
- x = SR.var('x')
- return { 'ogf': [(-((288*x**4*((3*x**4)+(33*x**3)+(68*x**2)+(33*x)+3))/(x-1)**9))] }
-
-
-
-def A064322():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(78*x**2)+(133*x**3)+(78*x**4)+(12*x**5)+x**6))/(1-x)**9)] }
-
-
-
-def A064385():
- x = SR.var('x')
- return { 'ogf': [(((2-(5*x))+(15*x**2))/((1-x)*(1-(5*x))))] }
-
-
-
-def A064412():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)*(1+(2*x)+x**2+(3*x**3)))/((1-x)**2*(1-x**2)*(1-x**4)))] }
-
-
-
-def A064429():
- x = SR.var('x')
- return { 'ogf': [((x*((2-x)+(2*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A064455():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A064613():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(6*x))/(1-(2*x)))))/2/x)] }
-
-
-
-def A064616():
- x = SR.var('x')
- return { 'ogf': [((x*((100*x)-9))/((x-1)*((10*x)-1)**2))] }
-
-
-
-def A064617():
- x = SR.var('x')
- return { 'ogf': [((x*((10*x)-9))/((x-1)**2*((10*x)-1)))] }
-
-
-
-def A064671():
- x = SR.var('x')
- return { 'ogf': [((x*((((16*x**3)-(22*x**2))+(12*x))-3))/(((-1)+(4*x))*((2*x)-1)**2*(x-1)**2))] }
-
-
-
-def A064680():
- x = SR.var('x')
- return { 'ogf': [((2+x+(2*x**2))/(1-x**2)**2)] }
-
-
-
-def A064686():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((3*x)-2))/(((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A064694():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+(4*x)+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A064746():
- x = SR.var('x')
- return { 'ogf': [(-((((56*x**2)-(8*x))+1)/((x-1)*((8*x)-1)**2)))] }
-
-
-
-def A064752():
- x = SR.var('x')
- return { 'ogf': [(((6*x)/(1-(6*x))**2)+(x/(x-1)))] }
-
-
-
-def A064754():
- x = SR.var('x')
- return { 'ogf': [((x*((64*x**2)-(8*x)-7))/((x-1)*((8*x)-1)**2))] }
-
-
-
-def A064763():
- x = SR.var('x')
- return { 'ogf': [((28*x*(1+x))/(1-x)**3)] }
-
-
-
-def A064796():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5-x**4-(2*x**3))+(2*x**2)+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A064806():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x)-2))/((x-1)**2*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A064831():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A064835():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((1+x+(7*x**2))-(3*x**3)))/((1-x)**5*(1+x)))] }
-
-
-
-def A064837():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1-x**5-(2*x**4))+x**3+(21*x**2)+(4*x)))/((1-x)**6*(1+x)))] }
-
-
-
-def A064842():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((-1)+x**3)-(2*x**2)))/((1+x)*(x-1)**4)))] }
-
-
-
-def A064843():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-1)+x**3)-(2*x**2)))/((1+x)*(x-1)**4)))] }
-
-
-
-def A065033():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**3)/((1-x-x**2)+x**3))] }
-
-
-
-def A065096():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt(((1-(6*x))+x**2)))**2/(16*x**3))] }
-
-
-
-def A065097():
- x = SR.var('x')
- return { 'ogf': [((sqrt(2)/2/sqrt((1+sqrt((1-(16*x))))))-(1/2))] }
-
-
-
-def A065100():
- x = SR.var('x')
- return { 'ogf': [(3/((1-(9*x))+x**2))] }
-
-
-
-def A065101():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(12*x))+x**2))] }
-
-
-
-def A065102():
- x = SR.var('x')
- return { 'ogf': [(3/((1-(18*x))+x**2))] }
-
-
-
-def A065113():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3-x))/(((1-(6*x))+x**2)*(1-x)))] }
-
-
-
-def A065164():
- x = SR.var('x')
- return { 'ogf': [((x*(((3*x**3)-(5*x**2))+(2*x)+2))/((x-1)**2*(x+1)))] }
-
-
-
-def A065165():
- x = SR.var('x')
- return { 'ogf': [((x*(((((3*x**5)-(3*x**4))+(4*x**3))-(8*x**2))+(2*x)+4))/((x-1)**2*(x+1)))] }
-
-
-
-def A065166():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((3*x**7)-(3*x**6))+(4*x**5))-(4*x**4))+(4*x**3))-(10*x**2))+(2*x)+6))/((x-1)**2*(x+1)))] }
-
-
-
-def A065168():
- x = SR.var('x')
- return { 'ogf': [((x*(((3-(2*x))+x**4+x**2)-x**3))/((x+1)*(x-1)**2))] }
-
-
-
-def A065169():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**6-x**5)+(4*x**4))-(4*x**3)-x**2-(2*x))+5))/((x-1)**2*(x+1)))] }
-
-
-
-def A065170():
- x = SR.var('x')
- return { 'ogf': [((x*((((((x**8-x**7)+(4*x**6))-(4*x**5))+(4*x**4))-(4*x**3)-(3*x**2)-(2*x))+7))/((x-1)**2*(x+1)))] }
-
-
-
-def A065171():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**6)+(4*x**5)+x**4+(8*x**3)+(2*x**2)+(4*x)+1))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A065172():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**6)+x**5+(7*x**4)+(2*x**3)+(5*x**2)+(3*x)+1))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A065173():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x**5)+x**4+x**3+(2*x**2)+(2*x)+1))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A065186():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**5+(2*x**4))-(3*x**3))+(2*x**2)+(2*x)+1))/((x-1)*(x**5-1)))] }
-
-
-
-def A065190():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-(2*x**2))+(2*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A065220():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x)-1))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A065260():
- x = SR.var('x')
- return { 'ogf': [((x*(x**6+(4*x**5)+(2*x**4)+(8*x**3)+x**2+(4*x)+2))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A065261():
- x = SR.var('x')
- return { 'ogf': [((x*(x**5+(3*x**4)+(2*x**3)+x**2+x+1))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A065262():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+x+1))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A065340():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*((9*x**2)-(4*x)-1))/((x-1)**3*((2*x)-1)**2*((3*x)-1))))] }
-
-
-
-def A065423():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x+2))/(1-x**2)**2)] }
-
-
-
-def A065450():
- x = SR.var('x')
- return { 'ogf': [((((1+(6*x**2)+(4*x**3))-(4*x**4)-(2*x**5))+(2*x**6))/((1+x)*(1-x)**3))] }
-
-
-
-def A065455():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/(1-(3*x**2)-x**3))] }
-
-
-
-def A065495():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))*(1-(2*x**2)-(2*x**3))))] }
-
-
-
-def A065502():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**4)+x**2+2))/((x-1)**2*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A065532():
- x = SR.var('x')
- return { 'ogf': [((1-(50*x)-(47*x**2))/(x-1)**3)] }
-
-
-
-def A065563():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(3*x)-(6*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A065678():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*(x**8+x**6+x**5+x**4+x**3+(3*x**2)+(2*x)+1))/((x**9+x**6+(3*x**3))-1))] }
-
-
-
-def A065705():
- x = SR.var('x')
- return { 'ogf': [((2-(123*x))/((1-(123*x))+x**2))] }
-
-
-
-def A065751():
- x = SR.var('x')
- return { 'ogf': [(-((9*(((100*x**19)+x**15+(50*x**14))-(10*x**13)-(10*x**12)-(10*x**11)-(9*x**10)-(156*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(12*x**5)-(117*x**4)-x**3-x**2-x-2))/((x-1)**2*(x+1)**2*((((x**4-x**3)+x**2)-x)+1)**2*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A065874():
- x = SR.var('x')
- return { 'ogf': [(-(1/((6*x)+1)/((7*x)-1)))] }
-
-
-
-def A065928():
- x = SR.var('x')
- return { 'ogf': [(((3*x)-2)/(((1-(6*x))+x**2)*(x-1)))] }
-
-
-
-def A065929():
- x = SR.var('x')
- return { 'ogf': [(((4*x)-3)/(((1-(12*x))+x**2)*(x-1)))] }
-
-
-
-def A065930():
- x = SR.var('x')
- return { 'ogf': [(((5*x)-4)/(((1-(20*x))+x**2)*(x-1)))] }
-
-
-
-def A065949():
- x = SR.var('x')
- return { 'ogf': [(-((90*x**3)/(x-1)**7))] }
-
-
-
-def A066023():
- x = SR.var('x')
- return { 'ogf': [((x*(((((2*x**4)-(8*x**3))+(13*x**2))-(4*x))+3))/(x-1)**4)] }
-
-
-
-def A066067():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-x**7)-x**4)+(3*x**3))-(2*x**2)-x)+1))/((1-x-x**2)*(1-x**2-x**4)*(1-x)**2))] }
-
-
-
-def A066106():
- x = SR.var('x')
- return { 'ogf': [((((4*x)+(8*x**2))-(4*x**3))/(1-x**2)**3)] }
-
-
-
-def A066280():
- x = SR.var('x')
- return { 'ogf': [(((-(18*x))+(15*x**2)+5)/((1-x)*((3*x)-1)*((2*x)-1)*x))] }
-
-
-
-def A066345():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x-(3*x**2))+(4*x**3)+(4*x**4))-(4*x**5)))/((x-1)*((2*x)-1)*(1+x)*((-1)+(2*x**2))**2))] }
-
-
-
-def A066368():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))+(11*x**2))-(9*x**3))/((1-x)**2*(1-(2*x))**2))] }
-
-
-
-def A066373():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x))/(1-(2*x))**2)] }
-
-
-
-def A066374():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((2-(4*x))+(3*x**2))-(3*x**3)))/((1-x)**2*(1-(2*x))**2))] }
-
-
-
-def A066375():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(4*x**2)+(2*x**4)))/(1-x)**5)] }
-
-
-
-def A066377():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3-x**2-x-1))/((x-1)**4*(x**2+x+1)**2)))] }
-
-
-
-def A066393():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(6*x**2)+(4*x**3)+(6*x**4)+(3*x**5)+x**6)/(1-x**3)**2)] }
-
-
-
-def A066394():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+(7*x**2)+(4*x**3)+(19*x**4)+(2*x**5))-(3*x**6))/(1-x**2)**3)] }
-
-
-
-def A066404():
- x = SR.var('x')
- return { 'ogf': [(((1-(228*x))+(494*x**2)+(228*x**3)+x**4)**3/((1+(11*x))-x**2)**5)] }
-
-
-
-def A066407():
- x = SR.var('x')
- return { 'ogf': [((2880*x**3*((4*x)+1))/(((2*x)-1)*((4*x)-1)*((8*x)-1)*((20*x)-1)))] }
-
-
-
-def A066443():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A066455():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(3*x))+(8*x**2))-(5*x**3))+(5*x**4)))/(1-x)**5)] }
-
-
-
-def A066456():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-x-(4*x**5))+x**6)-(2*x**2))+(4*x**3)+(2*x**4)+(2*x**7)))/((1+x)**3*(1-x)**5))] }
-
-
-
-def A066524():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**2)))/((1-x)*(1-(2*x)))**2)] }
-
-
-
-def A066629():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1-x-x**2)*(1-x)*(1+x)))] }
-
-
-
-def A066714():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x)+x**2)*(1+x**2)**2)/(1-x**2)**3)] }
-
-
-
-def A066770():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(6*x))+(25*x**2)))] }
-
-
-
-def A066771():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(6*x))+(25*x**2)))] }
-
-
-
-def A066804():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(4*x**2)))/(1-x)**5)] }
-
-
-
-def A066827():
- x = SR.var('x')
- return { 'ogf': [((((-(16*x**5))-(2*x**2))+(3*x))/((16*x**4)-1)/(x-1))] }
-
-
-
-def A066830():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4-(6*x**2)-(4*x)-3))/((x-1)**3*(x+1)**3))] }
-
-
-
-def A066982():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A066983():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2))/((1+x)*(1-x-x**2)))] }
-
-
-
-def A066999():
- x = SR.var('x')
- return { 'ogf': [(((-1)-x**2-(4*x))/(((3*x)-1)*(x-1)**4))] }
-
-
-
-def A067016():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**6)-(2*x**5)-(6*x**4))+(4*x**3)+(2*x**2))-(3*x)-1)/((x-1)**2*(x+1))))] }
-
-
-
-def A067046():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(6*x**2)+(2*x)+1)/(1-x**2)**4)] }
-
-
-
-def A067047():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**10+(5*x**9)+(5*x**8)+(30*x**7)+(45*x**6)+(17*x**5)+(45*x**4)+(30*x**3)+(5*x**2)+(5*x)+1))/((x-1)**5*(x**2+x+1)**5)))] }
-
-
-
-def A067057():
- x = SR.var('x')
- return { 'ogf': [((-(2*x*(x+1)))/((2*x)-1)**5)] }
-
-
-
-def A067239():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x)+(27*x**2))-x**3)/(1-x)**3)] }
-
-
-
-def A067272():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A067275():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(4*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A067331():
- x = SR.var('x')
- return { 'ogf': [((2+x)/(1-x-x**2)**2)] }
-
-
-
-def A067332():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/(1-x-x**2)**2)] }
-
-
-
-def A067333():
- x = SR.var('x')
- return { 'ogf': [((5+(3*x))/(1-x-x**2)**2)] }
-
-
-
-def A067334():
- x = SR.var('x')
- return { 'ogf': [((8+(5*x))/(1-x-x**2)**2)] }
-
-
-
-def A067336():
- x = SR.var('x')
- return { 'ogf': [((1+sqrt((1-(4*x))))/((3*sqrt((1-(4*x))))-1))] }
-
-
-
-def A067358():
- x = SR.var('x')
- return { 'ogf': [((12*x)/((1-(10*x))+(169*x**2)))] }
-
-
-
-def A067359():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+(169*x**2)))] }
-
-
-
-def A067403():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(1-(9*x)))] }
-
-
-
-def A067404():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/(1-(16*x)))] }
-
-
-
-def A067405():
- x = SR.var('x')
- return { 'ogf': [((1-(16*x))/(1-(25*x)))] }
-
-
-
-def A067406():
- x = SR.var('x')
- return { 'ogf': [((1-(25*x))/(1-(36*x)))] }
-
-
-
-def A067407():
- x = SR.var('x')
- return { 'ogf': [((1-(36*x))/(1-(49*x)))] }
-
-
-
-def A067408():
- x = SR.var('x')
- return { 'ogf': [((1-(49*x))/(1-(64*x)))] }
-
-
-
-def A067409():
- x = SR.var('x')
- return { 'ogf': [((1-(64*x))/(1-(81*x)))] }
-
-
-
-def A067411():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(6*x)))] }
-
-
-
-def A067412():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(8*x)))] }
-
-
-
-def A067413():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/(1-(12*x)))] }
-
-
-
-def A067414():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(1-(14*x)))] }
-
-
-
-def A067415():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/(1-(16*x)))] }
-
-
-
-def A067416():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/(1-(18*x)))] }
-
-
-
-def A067419():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(1-(12*x)))] }
-
-
-
-def A067420():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/(1-(15*x)))] }
-
-
-
-def A067421():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/(1-(18*x)))] }
-
-
-
-def A067422():
- x = SR.var('x')
- return { 'ogf': [((1-(12*x))/(1-(21*x)))] }
-
-
-
-def A067423():
- x = SR.var('x')
- return { 'ogf': [((1-(14*x))/(1-(24*x)))] }
-
-
-
-def A067424():
- x = SR.var('x')
- return { 'ogf': [((1-(16*x))/(1-(27*x)))] }
-
-
-
-def A067426():
- x = SR.var('x')
- return { 'ogf': [((1-(15*x))/(1-(24*x)))] }
-
-
-
-def A067427():
- x = SR.var('x')
- return { 'ogf': [((1-(18*x))/(1-(28*x)))] }
-
-
-
-def A067428():
- x = SR.var('x')
- return { 'ogf': [((1-(21*x))/(1-(32*x)))] }
-
-
-
-def A067429():
- x = SR.var('x')
- return { 'ogf': [((1-(24*x))/(1-(36*x)))] }
-
-
-
-def A067430():
- x = SR.var('x')
- return { 'ogf': [((13+(8*x))/(1-x-x**2)**2)] }
-
-
-
-def A067431():
- x = SR.var('x')
- return { 'ogf': [((21+(13*x))/(1-x-x**2)**2)] }
-
-
-
-def A067556():
- x = SR.var('x')
- return { 'ogf': [((x*((-(44640625*x**5))+(43750000*x**4)+(875000*x**3)+(17500*x**2)+(350*x)+7))/(((15625*x**7)-(15625*x**6)-x)+1))] }
-
-
-
-def A067703():
- x = SR.var('x')
- return { 'ogf': [((x*(((-(56*x**2))-(2800*x))+2857))/(((8*x**4)-(8*x**3)-x)+1))] }
-
-
-
-def A067705():
- x = SR.var('x')
- return { 'ogf': [((11*x*(3-x))/(1-x)**3)] }
-
-
-
-def A067707():
- x = SR.var('x')
- return { 'ogf': [((3*x*(5-(3*x)))/(1-x)**3)] }
-
-
-
-def A067724():
- x = SR.var('x')
- return { 'ogf': [((5*x*(3-x))/(1-x)**3)] }
-
-
-
-def A067725():
- x = SR.var('x')
- return { 'ogf': [((3*x*(3-x))/(1-x)**3)] }
-
-
-
-def A067726():
- x = SR.var('x')
- return { 'ogf': [((6*x*(3-x))/(1-x)**3)] }
-
-
-
-def A067727():
- x = SR.var('x')
- return { 'ogf': [((7*x*(3-x))/(1-x)**3)] }
-
-
-
-def A067728():
- x = SR.var('x')
- return { 'ogf': [((2*x*(5-(3*x)))/(1-x)**3)] }
-
-
-
-def A067771():
- x = SR.var('x')
- return { 'ogf': [((3*(1-(2*x)))/((1-x)*(1-(3*x))))] }
-
-
-
-def A067844():
- x = SR.var('x')
- return { 'ogf': [((2*x*((2*x**2)+x+7))/((x-1)**2*(x+1)))] }
-
-
-
-def A067865():
- x = SR.var('x')
- return { 'ogf': [((4*x*(9+(16*x)))/(1-x)**2)] }
-
-
-
-def A067866():
- x = SR.var('x')
- return { 'ogf': [((8*x*(92+(33*x)))/(1-x)**2)] }
-
-
-
-def A067867():
- x = SR.var('x')
- return { 'ogf': [((16*x*(546+(79*x)))/(1-x)**2)] }
-
-
-
-def A067869():
- x = SR.var('x')
- return { 'ogf': [((x*(48736+(51264*x)))/(1-x)**2)] }
-
-
-
-def A067895():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(22*x))+(40*x**2)))] }
-
-
-
-def A067900():
- x = SR.var('x')
- return { 'ogf': [((8*x)/((1-(14*x))+x**2))] }
-
-
-
-def A067902():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(7*x)))/((1-(14*x))+x**2))] }
-
-
-
-def A067969():
- x = SR.var('x')
- return { 'ogf': [((x*(((((11-(2*x)-(12*x**2))+(8*x**3)+(26*x**4))-(12*x**5)-(12*x**6))+(8*x**7)+(3*x**8))-(2*x**9)))/((1+x)**4*(x-1)**6))] }
-
-
-
-def A067977():
- x = SR.var('x')
- return { 'ogf': [((34+(21*x))/(1-x-x**2)**2)] }
-
-
-
-def A067978():
- x = SR.var('x')
- return { 'ogf': [((55+(34*x))/(1-x-x**2)**2)] }
-
-
-
-def A067980():
- x = SR.var('x')
- return { 'ogf': [(((3+x)*(1+(2*x)))/(1-x-x**2)**2)] }
-
-
-
-def A067981():
- x = SR.var('x')
- return { 'ogf': [(((4+(3*x))*(1+(2*x)))/(1-x-x**2)**2)] }
-
-
-
-def A067982():
- x = SR.var('x')
- return { 'ogf': [(((7+(4*x))*(1+(2*x)))/(1-x-x**2)**2)] }
-
-
-
-def A067983():
- x = SR.var('x')
- return { 'ogf': [(((11+(7*x))*(1+(2*x)))/(1-x-x**2)**2)] }
-
-
-
-def A067984():
- x = SR.var('x')
- return { 'ogf': [(((18+(11*x))*(1+(2*x)))/(1-x-x**2)**2)] }
-
-
-
-def A067985():
- x = SR.var('x')
- return { 'ogf': [(((29+(18*x))*(1+(2*x)))/(1-x-x**2)**2)] }
-
-
-
-def A067986():
- x = SR.var('x')
- return { 'ogf': [(((47+(29*x))*(1+(2*x)))/(1-x-x**2)**2)] }
-
-
-
-def A067987():
- x = SR.var('x')
- return { 'ogf': [(((76+(47*x))*(1+(2*x)))/(1-x-x**2)**2)] }
-
-
-
-def A067988():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1-x-x**2)**3)] }
-
-
-
-def A067989():
- x = SR.var('x')
- return { 'ogf': [((((1+(4*x))-x**2)*(1+(2*x)))/(1-x-x**2)**3)] }
-
-
-
-def A067996():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)*(1-x**5)*(1-x**10)*(1-x**20)*(1-x**25)*(1-x**50)*(1-x**100)))] }
-
-
-
-def A067997():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**2)*(1-x**3)*(1-x**5)*(1-x**10)*(1-x**20)*(1-x**25)*(1-x**50)*(1-x**100)))] }
-
-
-
-def A067998():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)-1))/(1-x)**3)] }
-
-
-
-def A068010():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**3))/((1-(2*x)-(2*x**3))+(4*x**4)))] }
-
-
-
-def A068011():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*(((2*x**3)+(2*x**2))-1))/(((2*x)-1)*((2*x**5)-1))))] }
-
-
-
-def A068012():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(((2*x**4)+(3*x**3)+x**2)-1))/(((2*x)-1)*((2*x**3)-1)))] }
-
-
-
-def A068013():
- x = SR.var('x')
- return { 'ogf': [(-((((((2*x**7)+x**5)-x**4)+x**3+x**2+x)-1)/(((2*x)-1)*((2*x**7)-1))))] }
-
-
-
-def A068028():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(3*x**2)+x**3+(4*x**4)))/((1-x)*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A068030():
- x = SR.var('x')
- return { 'ogf': [(-((((((4*x**12)-(2*x**9)-x**7)+(2*x**6)+(2*x**5)+(2*x**4))-(3*x**3)-x**2-x)+1)/(((2*x)-1)*((2*x**3)-1)*((2*x**9)-1))))] }
-
-
-
-def A068031():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(((2*x**7)+(3*x**6)+(4*x**5)+(2*x**4)+(2*x**3)+x**2)-1))/(((2*x)-1)*((2*x**5)-1)))] }
-
-
-
-def A068032():
- x = SR.var('x')
- return { 'ogf': [(-((((((2*x**11)+x**9)-x**5)+x**4+x**3+x**2+x)-1)/(((2*x)-1)*((2*x**11)-1))))] }
-
-
-
-def A068033():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**8)-x**7-(2*x**6)-(3*x**5)-x**4)+(3*x**3)+x**2+x)-1)/(((2*x)-1)*((2*x**3)-1))))] }
-
-
-
-def A068034():
- x = SR.var('x')
- return { 'ogf': [(-(((((((2*x**13)-x**10)+x**9)-x**6)+x**4+x**3+x**2+x)-1)/(((2*x)-1)*((2*x**13)-1))))] }
-
-
-
-def A068035():
- x = SR.var('x')
- return { 'ogf': [(-((((((((2*x**13)+x**12)-(3*x**11)-x**10-x**9-x**8)+(2*x**7))-x**6)+x**4+x**3+x**2+x)-1)/(((2*x)-1)*((2*x**7)-1))))] }
-
-
-
-def A068036():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((8*x**23)+(4*x**21))-(8*x**20))+(4*x**19))-(4*x**18))+(2*x**17))-(4*x**16))+(2*x**15))-(8*x**14))+(2*x**12)+(8*x**11)+(4*x**10)+(4*x**9))-(6*x**8)-(3*x**7)-(5*x**6)-x**4)+(3*x**3)+x**2+x)-1)/(((2*x)-1)*((2*x**3)-1)*((2*x**5)-1)*((2*x**15)-1))))] }
-
-
-
-def A068037():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**8)-x**7-(2*x**6))+x**5+x**4+x**3+x**2+x)-1)/((2*x)-1))] }
-
-
-
-def A068038():
- x = SR.var('x')
- return { 'ogf': [(-(((((((2*x**17)-x**12)+x**8)-(2*x**7)-x**6)+x**5+x**4+x**3+x**2+x)-1)/(((2*x)-1)*((2*x**17)-1))))] }
-
-
-
-def A068039():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((((((12*x**35)+(2*x**34))-(16*x**33))+(8*x**32)+(16*x**31))-(6*x**30))+(2*x**29)+(12*x**28)+(16*x**27))-(8*x**26)-(32*x**25)-(18*x**24))+(6*x**23)+(16*x**22)+(6*x**21)+(2*x**20)+(12*x**19))-(12*x**18)-(6*x**17)-x**16)+(8*x**15))-(4*x**14)-(8*x**13))+(3*x**12))-x**11-(6*x**10))+(4*x**8)+(6*x**7)+x**6+x**5+x**4)-(3*x**3)-x**2-x)+1)/(((2*x)-1)*((2*x**3)-1)*((2*x**6)-1)*((2*x**9)-1)*((2*x**18)-1))))] }
-
-
-
-def A068040():
- x = SR.var('x')
- return { 'ogf': [(-((((((((2*x**19)+x**17)-(2*x**16))+x**13+x**9)-(3*x**7))+x**5+x**4+x**3+x**2+x)-1)/(((2*x)-1)*((2*x**19)-1))))] }
-
-
-
-def A068041():
- x = SR.var('x')
- return { 'ogf': [(((x-1)**2*((((4*x**12)+(4*x**11))-x**10-(7*x**9)-(11*x**8)-(15*x**7)-(15*x**6)-(11*x**5)-(5*x**4)-(2*x**3))+x+1))/(((2*x)-1)*((2*x**5)-1)))] }
-
-
-
-def A068042():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((8*x**31)-(8*x**28))+(4*x**27))-(2*x**26)-(2*x**25)-(6*x**24))+(4*x**23)+(4*x**22)+(2*x**21)+(2*x**20)+(6*x**19))-(8*x**18)-(12*x**17)-(5*x**16))+(6*x**15)+(10*x**14)+x**13)-x**12)+(5*x**11)+x**10)-(6*x**8)-(2*x**7)-(2*x**6)-x**5-x**4)+(3*x**3)+x**2+x)-1)/(((2*x)-1)*((2*x**3)-1)*((2*x**7)-1)*((2*x**21)-1))))] }
-
-
-
-def A068043():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(((((((4*x**29)+(4*x**28)+(4*x**27))-(4*x**24)-(4*x**23)-(4*x**22)-(3*x**21)-(2*x**20)-x**19-x**18-x**17-(2*x**16))+(4*x**15)+(10*x**14)+(4*x**13))-(4*x**12)-(6*x**11)-(8*x**10)-(9*x**9)-(4*x**8))+(2*x**7)+(5*x**6)+(6*x**5)+(3*x**4)+(2*x**3)+x**2)-1))/(((2*x)-1)*((2*x**5)-1)*((2*x**25)-1))))] }
-
-
-
-def A068044():
- x = SR.var('x')
- return { 'ogf': [(-(((((((2*x**15)+(5*x**14))-(5*x**13)-(13*x**12)-(3*x**11))+(9*x**10)+(8*x**9)+x**8)-x**7-x**6-x**5-x**4-x**3-x**2-x)+1)/((2*x)-1)))] }
-
-
-
-def A068045():
- x = SR.var('x')
- return { 'ogf': [(((((((((((4*x**32)-(2*x**31)-(16*x**30))+(36*x**29)+(138*x**28))-(92*x**27)-(544*x**26)-(192*x**25))+(848*x**24)+(967*x**23))-(177*x**22)-(1074*x**21)-(770*x**20))+(78*x**19)+(525*x**18)+(413*x**17)+(113*x**16))-(73*x**15)-(106*x**14)-(63*x**13)-(17*x**12))+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x)-1)/((2*x)-1))] }
-
-
-
-def A068073():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2)+(2*x**3))/(1-x**4)),
-((1+x+(2*x**2))/(((1-x)+x**2)-x**3))] }
-
-
-
-def A068085():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**4+(20*x**3)+(57*x**2)+(20*x)+1))/((x-1)*((x**6-(1442*x**3))+1))))] }
-
-
-
-def A068156():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/((1-(2*x))*(1-x)))] }
-
-
-
-def A068179():
- x = SR.var('x')
- return { 'ogf': [((1+(36*x**2))/((1-(2*x))*(1-(3*x))*(1-(6*x))))] }
-
-
-
-def A068180():
- x = SR.var('x')
- return { 'ogf': [((x*((864*x**4)+(210*x**2)+1))/(((3*x)-1)*((4*x)-1)*((6*x)-1)*((12*x)-1)))] }
-
-
-
-def A068203():
- x = SR.var('x')
- return { 'ogf': [((1-(15*x))/((1-(30*x))+x**2))] }
-
-
-
-def A068204():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(30*x))+x**2))] }
-
-
-
-def A068236():
- x = SR.var('x')
- return { 'ogf': [((30*(x+1)**2)/(x-1)**4)] }
-
-
-
-def A068239():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1199*x**7)+(16567*x**6)+(60099*x**5)+(71075*x**4)+(28765*x**3)+(3621*x**2)+(113*x)+1))/(x-1)**10)] }
-
-
-
-def A068240():
- x = SR.var('x')
- return { 'ogf': [(-((((2507986*x**14)+(349887529*x**13)+(1.2282125725E10*x**12)+(1.58263444274E11*x**11)+(8.96159384816E11*x**10)+(2.455337616143E12*x**9)+(3.417678462327E12*x**8)+(2.4539220591E12*x**7)+(8.95941969162E11*x**6)+(1.58666067383E11*x**5)+(1.2424532171E10*x**4)+(363949394*x**3)+(2934100*x**2)+(3889*x)+1)*x**2)/(x-1)**17))] }
-
-
-
-def A068241():
- x = SR.var('x')
- return { 'ogf': [((((6.4045717133E10*x**23)+(9.9613598986379E13*x**22)+(3.0122616672179056E16*x**21)+(2.9058168418164649E18*x**20)+(1.1688516243495728E20*x**19)+(2.3014612024260824E21*x**18)+(2.4565180390104216E22*x**17)+(1.5205141612774863E23*x**16)+(5.7095597233116976E23*x**15)+(1.3396111840167592E24*x**14)+(1.9990282085665955E24*x**13)+(1.912423825883782E24*x**12)+(1.1718384499358041E24*x**11)+(4.553544149643838E23*x**10)+(1.0998184456451395E23*x**9)+(1.5982890606970244E22*x**8)+(1.3302173319284528E21*x**7)+(5.888577712727722E19*x**6)+(1.23840786281079347E18*x**5)+(1.0331590803059616E16*x**4)+(2.5144532006783E13*x**3)+(1.0213893889E10*x**2)+(290467*x)+1)*x**2)/(x-1)**26)] }
-
-
-
-def A068244():
- x = SR.var('x')
- return { 'ogf': [((((1089*x**6)+(10934*x**5)+(26015*x**4)+(18500*x**3)+(3775*x**2)+(166*x)+1)/(x-1)**10)*x**3)] }
-
-
-
-def A068245():
- x = SR.var('x')
- return { 'ogf': [(-((((7926831*x**13)+(710120929*x**12)+(1.6477733814E10*x**11)+(1.44915014346E11*x**10)+(5.69769493505E11*x**9)+(1.086745824783E12*x**8)+(1.040642122932E12*x**7)+(4.99586289612E11*x**6)+(1.15866023553E11*x**5)+(1.1940350895E10*x**4)+(465727286*x**3)+(5011914*x**2)+(7599*x)+1)*x**3)/(x-1)**17))] }
-
-
-
-def A068246():
- x = SR.var('x')
- return { 'ogf': [((((1.155805517421E12*x**22)+(8.98154715023598E14*x**21)+(1.53334491715682432E17*x**20)+(9.260621966248364E18*x**19)+(2.5008679379829378E20*x**18)+(3.4630057554732935E21*x**17)+(2.680983914786453E22*x**16)+(1.228057998599984E23*x**15)+(3.454172374296219E23*x**14)+(6.105111514687837E23*x**13)+(6.862598719665841E23*x**12)+(4.917677780826756E23*x**11)+(2.2308241542363905E23*x**10)+(6.297087925969239E22*x**9)+(1.0739574336476389E22*x**8)+(1.057138433525073E21*x**7)+(5.602939870093112E19*x**6)+(1.43663798906925824E18*x**5)+(1.4990828199704236E16*x**4)+(4.705360627998E13*x**3)+(2.4655811251E10*x**2)+(672358*x)+1)*x**3)/(x-1)**26)] }
-
-
-
-def A068250():
- x = SR.var('x')
- return { 'ogf': [((((832*x**5)+(4805*x**4)+(6630*x**3)+(2600*x**2)+(250*x)+3)*x**4)/(x-1)**10)] }
-
-
-
-def A068251():
- x = SR.var('x')
- return { 'ogf': [(-((((22941952*x**12)+(1090564941*x**11)+(1.5148153587E10*x**10)+(8.5463400725E10*x**9)+(2.23924774635E11*x**8)+(2.89399790106E11*x**7)+(1.87581268518E11*x**6)+(5.9790636306E10*x**5)+(8.81838315E9*x**4)+(532577465*x**3)+(10381767*x**2)+(38841*x)+7)*x**4)/(x-1)**17))] }
-
-
-
-def A068293():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(2*x)))/((1-x)*(1-(2*x))))] }
-
-
-
-def A068377():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x)+(5*x**2))-x**3))/(1-x)**3)] }
-
-
-
-def A068379():
- x = SR.var('x')
- return { 'ogf': [(((1+(21*x)+(11*x**2))-x**3)/(1-x)**3)] }
-
-
-
-def A068380():
- x = SR.var('x')
- return { 'ogf': [(((1+(51*x)+(21*x**2))-x**3)/(1-x)**3)] }
-
-
-
-def A068397():
- x = SR.var('x')
- return { 'ogf': [(((4-(3*x)-(4*x**2))+x**3)/((1-x-(2*x**2))+x**3+x**4))] }
-
-
-
-def A068491():
- x = SR.var('x')
- return { 'ogf': [(((((x**10-x**9)+x**8+x**6+x**4+x**2)-x)+1)/((x-1)**4*(x+1)**2*((x**2-x)+1)*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A068548():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(16*x))-(16*x**2)))/((4*x)-1)**4)] }
-
-
-
-def A068551():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))-(1/sqrt((1-(4*x)))))] }
-
-
-
-def A068601():
- x = SR.var('x')
- return { 'ogf': [((x**2*((7-(2*x))+x**2))/(1-x)**4)] }
-
-
-
-def A068620():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((704*x**7)-(704*x**6))+(288*x**5))-(56*x**4))+(32*x**3))-(24*x**2))+(8*x))-1))/(((2*x)-1)*((4*x)-1)*(((8*x**2)-(4*x))+1)*((16*x**4)+1))))] }
-
-
-
-def A068711():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((((16*x**4)-(8*x**3)-(16*x**2))+(12*x))-3))/(((4*x)-1)*(((8*x**2)-(4*x))+1)*((16*x**4)+1)))] }
-
-
-
-def A068722():
- x = SR.var('x')
- return { 'ogf': [((1+(30*x)+(82*x**2)+(30*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A068723():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**8+(2042*x**7)+(137876*x**6)+(1447150*x**5)+(3462710*x**4)+(1447150*x**3)+(137876*x**2)+(2042*x)+1))/(x-1)**10)] }
-
-
-
-def A068744():
- x = SR.var('x')
- return { 'ogf': [(-((x**8+(1656*x**7)+(72876*x**6)+(522760*x**5)+(972198*x**4)+(522760*x**3)+(72876*x**2)+(1656*x)+1)/(x-1)**9))] }
-
-
-
-def A068764():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(8*x*(1-x)))))/(4*x))] }
-
-
-
-def A068765():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(12*x*(1-(2*x))))))/(6*x))] }
-
-
-
-def A068766():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(16*x*(1-(3*x))))))/(8*x))] }
-
-
-
-def A068767():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(20*x*(1-(4*x))))))/(10*x))] }
-
-
-
-def A068768():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(24*x*(1-(5*x))))))/(12*x))] }
-
-
-
-def A068769():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(28*x*(1-(6*x))))))/(14*x))] }
-
-
-
-def A068770():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(32*x*(1-(7*x))))))/(16*x))] }
-
-
-
-def A068771():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(36*x*(1-(8*x))))))/(18*x))] }
-
-
-
-def A068772():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(40*x*(1-(9*x))))))/(20*x))] }
-
-
-
-def A068774():
- x = SR.var('x')
- return { 'ogf': [((8*x**4*(((((40*x**4)-(40*x**3))+(20*x**2))-(5*x))+1))/(((2*x)-1)*((4*x)-1)*(((8*x**2)-(4*x))+1)*((16*x**4)+1)))] }
-
-
-
-def A068777():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((((((16*x**5)-(8*x**4))+(16*x**3))-(12*x**2))+(5*x))-1))/(((4*x)-1)*(((8*x**2)-(4*x))+1)*((16*x**4)+1)))] }
-
-
-
-def A068787():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((((16*x**5)-(16*x**4))+(4*x**3)+(8*x**2))-(5*x))+1))/(((4*x)-1)*(((8*x**2)-(4*x))+1)*((16*x**4)+1))))] }
-
-
-
-def A068790():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**5*((((24*x**3)-(40*x**2))+(20*x))-5))/(((2*x)-1)*((4*x)-1)*(((8*x**2)-(4*x))+1)*((16*x**4)+1))))] }
-
-
-
-def A068875():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(4*x))))/x)] }
-
-
-
-def A068911():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/(1-(3*x**2)))] }
-
-
-
-def A068912():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(4*x**2))+(2*x**4)))] }
-
-
-
-def A068922():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-x-3))/((x**2+x)-1))] }
-
-
-
-def A068923():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(((2*x**6)+x**5+x**4)-x**2-(3*x)-1))/((-1)+x**5+x**3))] }
-
-
-
-def A068924():
- x = SR.var('x')
- return { 'ogf': [((x*(((-6)+x**4+(7*x**3)+(4*x**2))-(3*x)))/((-1)+x**3+x**2))] }
-
-
-
-def A068925():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x**10)-(6*x**9)-(11*x**8)-(6*x**7)-(7*x**6))+x**5+(2*x**4)+(3*x**3)+(6*x**2)+(9*x)))/(1-x**7-x**5))] }
-
-
-
-def A068927():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**10-(2*x**8)-(2*x**6)-x**4))/(((x**3+x)-1)*((x**6+x**2)-1)))] }
-
-
-
-def A068929():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-x**18)+x**17+x**16+x**15+x**13)-x**12-(2*x**11)-(2*x**8)-(4*x**7)-(3*x**6)-x**5-x**4)+(2*x**2)+(3*x)))/(((x**5+x**3)-1)*((x**10+x**6)-1)))] }
-
-
-
-def A068930():
- x = SR.var('x')
- return { 'ogf': [((x*(((4+x**10+(5*x**9)+(4*x**8)+(3*x**7))-x**6-(2*x**5)-(6*x**4)-(5*x**3)-(3*x**2))+(2*x)))/(((x**3+x**2)-1)*((x**6+x**4)-1)))] }
-
-
-
-def A068931():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((-1)-(6*x)-(2*x**2)-(3*x**16))+(6*x**15)+(2*x**14))-(6*x**18))+(2*x**7)+(7*x**8)+(2*x**9)+(2*x**10)+(6*x**11)+(2*x**12)+(2*x**13))-(2*x**19)-(5*x**20)-(2*x**21)-(6*x**22)-(2*x**23))+x**26)-(2*x**3)-x**4)+(5*x**6)))/(((x**2-x)+1)*((x**5+x**4+x**3)-x-1)*((x**4-x**2)+1)*((x**10+x**8+x**6)-x**2-1))))] }
-
-
-
-def A069006():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(((1-x**5)+x**4+(4*x**3))-(3*x**2)-(3*x)))] }
-
-
-
-def A069007():
- x = SR.var('x')
- return { 'ogf': [(((x**3+x**2)-(2*x)-1)/((((x**6+x**5)-(5*x**4)-(4*x**3))+(6*x**2)+(3*x))-1))] }
-
-
-
-def A069008():
- x = SR.var('x')
- return { 'ogf': [(-((x+1)/((((x**6+x**5)-(5*x**4)-(4*x**3))+(6*x**2)+(3*x))-1)))] }
-
-
-
-def A069009():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(3*x)-(6*x**2))+(4*x**3)+(5*x**4))-x**5-x**6))] }
-
-
-
-def A069017():
- x = SR.var('x')
- return { 'ogf': [((((x**4+(2*x**3))-(16*x**2))+(2*x)+1)/((1-x)*((1-(6*x))+x**2)*(1+(6*x)+x**2)))] }
-
-
-
-def A069038():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**4)/(1-x)**6)] }
-
-
-
-def A069039():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**5)/(1-x)**7)] }
-
-
-
-def A069072():
- x = SR.var('x')
- return { 'ogf': [((6*(1+(6*x)+x**2))/(x-1)**4)] }
-
-
-
-def A069074():
- x = SR.var('x')
- return { 'ogf': [((24+(24*x))/(x-1)**4)] }
-
-
-
-def A069075():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(190*x**2)-(180*x**3)-(9*x**4))/(x-1)**5)] }
-
-
-
-def A069080():
- x = SR.var('x')
- return { 'ogf': [((12*(((7+(37*x))-(15*x**2))+(3*x**3)))/(1-x)**5)] }
-
-
-
-def A069099():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+x**2))/(1-x)**3)] }
-
-
-
-def A069125():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(9*x)+x**2))/(x-1)**3))] }
-
-
-
-def A069126():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(11*x)+x**2))/(x-1)**3))] }
-
-
-
-def A069127():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(12*x)+x**2))/(x-1)**3))] }
-
-
-
-def A069128():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(13*x)+x**2))/(x-1)**3))] }
-
-
-
-def A069129():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(14*x)+x**2))/(x-1)**3))] }
-
-
-
-def A069130():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)+x**2))/(1-x)**3)] }
-
-
-
-def A069131():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)+x**2))/(1-x)**3)] }
-
-
-
-def A069132():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(17*x)+x**2))/(1-x)**3)] }
-
-
-
-def A069133():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(18*x)+x**2))/(1-x)**3)] }
-
-
-
-def A069178():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(19*x)+x**2))/(x-1)**3))] }
-
-
-
-def A069183():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)**2*(1-x**3)*(1-x**6)))] }
-
-
-
-def A069190():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(22*x)+x**2))/(1-x)**3)] }
-
-
-
-def A069229():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(8*x))+(6*x**2)))/(1-x)**2/(1-(2*x))**2)] }
-
-
-
-def A069241():
- x = SR.var('x')
- return { 'ogf': [(((3+x+x**2)/(1-x-x**3))-((2-x)/(1-x)**2))] }
-
-
-
-def A069251():
- x = SR.var('x')
- return { 'ogf': [((((((x**4-x**3)+x**2)-x)+1)*((x**4-x**2)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)*(x**8+1))/((x-1)**8*(x**2+x+1)**2*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A069252():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((x**2-x)+1)*((((x**4-x**3)+x**2)-x)+1)*((x**4-x**2)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)*((x**6-x**3)+1)*(x**8+1))/((x-1)**9*(x**2+x+1)**3*(x**4+x**3+x**2+x+1)*(x**6+x**3+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A069253():
- x = SR.var('x')
- return { 'ogf': [((((x**2-x)+1)*(x**2+1)*((x**4-x**2)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)*((x**6-x**3)+1)*((((x**8-x**6)+x**4)-x**2)+1)*(x**8+1))/((x-1)**10*(x**2+x+1)**3*(x**4+x**3+x**2+x+1)**2*(x**6+x**3+1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A069294():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((6-(17*x))+(7*x**2)+(8*x**3)))/(1-(8*x))/((((2*x**3)+(2*x**2))-(4*x))+1))] }
-
-
-
-def A069306():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x)+5))/(1-(2*x)-x**2))] }
-
-
-
-def A069307():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((21-(37*x))+(14*x**3))-(8*x**4)))/((((1+(2*x**5))-(7*x))+(9*x**2)+x**3)-(4*x**4)))] }
-
-
-
-def A069325():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-x)+x**3))/(((2*x**2)+(2*x))-1)/(((((2*x**5)-(4*x**4))+x**3+(9*x**2))-(7*x))+1)))] }
-
-
-
-def A069361():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-(8*x))*(((2*x**2)-(7*x))+1)))] }
-
-
-
-def A069378():
- x = SR.var('x')
- return { 'ogf': [((x*(((7-(12*x))+x**2+(2*x**3))-(2*x**4)))/((((1-(7*x))+(9*x**2)+x**3)-(4*x**4))+(2*x**5)))] }
-
-
-
-def A069396():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x)+1)**2)/(1-(8*x))/(((2*x**2)-(7*x))+1)/(((4*x**2)-(6*x))+1))] }
-
-
-
-def A069403():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)*((1-(3*x))+x**2)))] }
-
-
-
-def A069429():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(2*x)))/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A069440():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+x+x**2))/((1-x)*(1-(4*x))*(1-(2*x)-x**2)))] }
-
-
-
-def A069473():
- x = SR.var('x')
- return { 'ogf': [((2*(31+(146*x)+(156*x**2)+(26*x**3)+x**4))/(1-x)**5)] }
-
-
-
-def A069474():
- x = SR.var('x')
- return { 'ogf': [((60*(((9-x)+(5*x**2))-x**3))/(1-x)**4)] }
-
-
-
-def A069476():
- x = SR.var('x')
- return { 'ogf': [((360*(5-(3*x)))/(1-x)**2)] }
-
-
-
-def A069480():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-(2*x**2)-(2*x))+1))/(x**2+1)**3)] }
-
-
-
-def A069497():
- x = SR.var('x')
- return { 'ogf': [((6*x*((x**2-x)+1)*(x**2+(4*x)+1))/((1+x**2)**2*(1-x)**3))] }
-
-
-
-def A069498():
- x = SR.var('x')
- return { 'ogf': [(-((10*x**2*(x**6+(11*x**5)+(7*x**4)+(2*x**3)+(7*x**2)+(11*x)+1))/((x-1)**3*(x+1)**2*(x**2+1)**2)))] }
-
-
-
-def A069499():
- x = SR.var('x')
- return { 'ogf': [(-((21*x*((x**2-x)+1)*(x**4+(5*x**3)+(9*x**2)+(5*x)+1))/((x-1)**3*(x+1)**2*(x**2+1)**2)))] }
-
-
-
-def A069515():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*(1-x))/(1-(3*x))**3)] }
-
-
-
-def A069745():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**3)*(1-x**6)*(1-x**7)*(1-x**8)))] }
-
-
-
-def A069755():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**6-(3*x**4))+(9*x**2)+(12*x)+17))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A069756():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((23+(4*x))-(6*x**2))+(4*x**3))-x**4))/(1-x)**5)] }
-
-
-
-def A069759():
- x = SR.var('x')
- return { 'ogf': [((x*((((107+(112*x))-(6*x**2))+(4*x**3))-x**4))/(1-x)**5)] }
-
-
-
-def A069760():
- x = SR.var('x')
- return { 'ogf': [((x*((((47+(52*x))-(6*x**2))+(4*x**3))-x**4))/(1-x)**5)] }
-
-
-
-def A069763():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((181+(370*x)+(153*x**2)+(24*x**3))-(13*x**4))+(6*x**5))-x**6))/(1-x)**7)] }
-
-
-
-def A069764():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((89+(150*x)+(69*x**2)+(20*x**3))-(13*x**4))+(6*x**5))-x**6))/(1-x)**7)] }
-
-
-
-def A069778():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2))/(1-x)**4)] }
-
-
-
-def A069779():
- x = SR.var('x')
- return { 'ogf': [((1+(17*x)+(8*x**2*(21+(43*x)))+(5*x**4*(35+(3*x))))/(1-x)**7)] }
-
-
-
-def A069813():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**2-x-1)*(x**2+1))/((x-1)**3*(x+1)*(x**2+x+1)))] }
-
-
-
-def A069835():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(8*x))+(4*x**2))))] }
-
-
-
-def A069894():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x)**2)/(1-x)**3)] }
-
-
-
-def A069905():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A069906():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1-x**11))/((1-x)*(1-x**2)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**8)))] }
-
-
-
-def A069907():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((1-x**4)+x**5+x**7)-x**8-x**13))/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**6)*(1-x**8)*(1-x**10)))] }
-
-
-
-def A069908():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+x**2+x**3+(6*x**4)+x**5+x**6+x**7+(2*x**8)))/((1+x)*(x**2+1)*(x**4+1)*(x-1)**2))] }
-
-
-
-def A069921():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-(2*x**2))/((1-(2*x)-(2*x**2))+x**3)),
-((((-1)+(3*x)+x**2)-x**4)/(x**2*(1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A069959():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((4*x)+1))/((x+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A069960():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((9*x)+1))/((x+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A069961():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((16*x)+1))/((x+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A069962():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((25*x)+1))/((x+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A069963():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((36*x)+1))/((x+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A069981():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+(2*x))-(2*x**2)))/(1-x)/(1-x**2)**2)] }
-
-
-
-def A069982():
- x = SR.var('x')
- return { 'ogf': [((x**4/(1-x)**4)-((4*x**7)/(1-x)**4/(1+x)**3))] }
-
-
-
-def A069983():
- x = SR.var('x')
- return { 'ogf': [((x**5/(1-x)**5)-((5*x**9)/(1-x)**5/(1+x)**4))] }
-
-
-
-def A069996():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-(3*x))**3)] }
-
-
-
-def A070004():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x+1)**2)/(1-(2*x**2)))] }
-
-
-
-def A070051():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((32*x**5)-(140*x**4))+(213*x**3))-(154*x**2))+(55*x))-8))/((x-1)*((2*x)-1)**5)))] }
-
-
-
-def A070052():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((128*x**7)-(799*x**6))+(1835*x**5))-(2199*x**4))+(1542*x**3))-(647*x**2))+(153*x))-16))/((x-1)*((2*x)-1)**7)))] }
-
-
-
-def A070053():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((512*x**9)-(4204*x**8))+(12965*x**7))-(21713*x**6))+(22623*x**5))-(15536*x**4))+(7137*x**3))-(2141*x**2))+(385*x))-32))/((x-1)*((2*x)-1)**9)))] }
-
-
-
-def A070054():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((2048*x**11)-(21010*x**10))+(81464*x**9))-(175106*x**8))+(241444*x**7))-(229084*x**6))+(154777*x**5))-(75284*x**4))+(26086*x**3))-(6189*x**2))+(913*x))-64))/((x-1)*((2*x)-1)**11)))] }
-
-
-
-def A070055():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((((8192*x**13)-(101240*x**12))+(472850*x**11))-(1238864*x**10))+(2119510*x**9))-(2555238*x**8))+(2264076*x**7))-(1508235*x**6))+(762058*x**5))-(290820*x**4))+(82129*x**3))-(16377*x**2))+(2081*x))-128))/((x-1)*((2*x)-1)**13)))] }
-
-
-
-def A070199():
- x = SR.var('x')
- return { 'ogf': [((x*((10+(9*x))-(10*x**2)))/((1-x)*(1-(10*x**2))))] }
-
-
-
-def A070207():
- x = SR.var('x')
- return { 'ogf': [((1-x-(5*x**2))/(1-(3*x)-(2*x**2)-x**3))] }
-
-
-
-def A070212():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+x**3+x**2+x+1)/(x-1)**9))] }
-
-
-
-def A070252():
- x = SR.var('x')
- return { 'ogf': [((x*((10*x**2)-(9*x)-10))/((10*x**2)-1))] }
-
-
-
-def A070260():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(2*x)+(6*x**2))-x**4))/(1-x**2)**3)] }
-
-
-
-def A070302():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(14*x**3)+(36*x**2)+(14*x)+1))/(1-x)**5)] }
-
-
-
-def A070313():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1-(3*x)))/((1-x)**2*(1-(2*x)))))] }
-
-
-
-def A070315():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((12*x**5)-(40*x**4))+(39*x**3)+(9*x**2))-(11*x)-1))/((x-1)**3*((2*x)-1)**2*((3*x)-1))))] }
-
-
-
-def A070335():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(4*x**2)+(8*x**3)+(16*x**4)+(9*x**5)+(18*x**6)+(13*x**7)+(3*x**8)+(6*x**9)+(12*x**10))/((1-x)*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10)))] }
-
-
-
-def A070336():
- x = SR.var('x')
- return { 'ogf': [((((((1+x+(2*x**2)+(4*x**3)+(8*x**4))-(9*x**5))+(7*x**6))-(11*x**7))+(3*x**8)+(6*x**9)+(13*x**10))/((1-x)*(x**2+1)*((((x**8-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A070337():
- x = SR.var('x')
- return { 'ogf': [((((((1+x+(2*x**2)+(4*x**3)+(8*x**4))-(11*x**5))+(5*x**6)+(10*x**7))-(7*x**8))+(14*x**9))/((1-x)*(1+x)*((x**2-x)+1)*((x**6-x**3)+1)))] }
-
-
-
-def A070340():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-x-(2*x**2)-(4*x**3)-(9*x**4)-(17*x**5))+(5*x**6)+(10*x**7))-(20*x**8))/((x-1)*(1+x+x**2)*((x**2-x)+1)*((x**4-x**2)+1)))] }
-
-
-
-def A070341():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(9*x**2)+(5*x**3)+(4*x**4))/((1-x)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A070342():
- x = SR.var('x')
- return { 'ogf': [((((((1+(2*x)+(6*x**2))-x**3-(3*x**4))+(10*x**5))-(8*x**6)-(5*x**7))+(4*x**8)+(13*x**9))/((1-x)*(1+x)*((x**2-x)+1)*((x**6-x**3)+1)))] }
-
-
-
-def A070343():
- x = SR.var('x')
- return { 'ogf': [((((((((1+(2*x)+(6*x**2))-(7*x**3))+(4*x**4)+(12*x**5))-(14*x**6))+(8*x**7))-x**8-(3*x**9))+(17*x**10))/((1-x)*(x**2+1)*((((x**8-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A070347():
- x = SR.var('x')
- return { 'ogf': [((1+x+(3*x**2)+(5*x**3)+(11*x**4))/((1-x)*(1+x+x**2)*((1-x)+x**2)))] }
-
-
-
-def A070348():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-x-(2*x**2)-(4*x**3)-(8*x**4)-(16*x**5))+(9*x**6)+(18*x**7))-(5*x**8)-(10*x**9)-(21*x**10))/((x-1)*(x**2+1)*((((x**8-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A070349():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-x-(2*x**2)-(4*x**3)-(8*x**4)-(16*x**5))+(11*x**6))-(22*x**7))/((x-1)*(1+x)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070350():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(4*x**2)-(8*x**3)-(16*x**4)-(32*x**5)-(19*x**6)-(38*x**7)-(31*x**8)-(17*x**9)-(34*x**10)-(23*x**11))/((x-1)*(1+x+x**2)*(1+x)*((1-x)+x**2)*(1+x**2)*((x**4-x**2)+1)))] }
-
-
-
-def A070351():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(4*x**2)-(8*x**3)-(16*x**4)-(32*x**5)-(17*x**6)-(34*x**7)-(21*x**8)-(42*x**9)-(37*x**10)-(27*x**11)-(7*x**12)-(14*x**13)-(28*x**14)-(9*x**15)-(18*x**16)-(36*x**17)-(25*x**18)-(3*x**19)-(6*x**20)-(12*x**21)-(24*x**22))/((x-1)*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10+x**11+x**12+x**13+x**14+x**15+x**16+x**17+x**18+x**19+x**20+x**21+x**22)))] }
-
-
-
-def A070352():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(2*x**2))/((1-x)*(1+x**2)))] }
-
-
-
-def A070353():
- x = SR.var('x')
- return { 'ogf': [((1+x+(5*x**2))/((1-x)*((x**2-x)+1)))] }
-
-
-
-def A070354():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(9*x**2)+(11*x**3))/((1-x)*(1+x)*(1+x**2)))] }
-
-
-
-def A070355():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(9*x**2)+(5*x**3)+(15*x**4))/((1-x)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A070357():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(6*x**2)-(19*x**3))/((x-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A070358():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(3*x)-(9*x**2)-(27*x**3)-(17*x**4)-(19*x**5)-(25*x**6)-(11*x**7))/((x-1)*(1+x)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A070359():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(2*x)-(6*x**2)-(18*x**3))+(14*x**4)+(8*x**5))-(10*x**6))+(4*x**7))-(23*x**8))/((x-1)*(1+x**8)))] }
-
-
-
-def A070360():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(2*x)-(6*x**2)-(18*x**3))+(22*x**4))-(10*x**5))+(8*x**6))-(14*x**7)-(4*x**8)-(13*x**9))/((x-1)*(1+x)*((x**2-x)+1)*((x**6-x**3)+1)))] }
-
-
-
-def A070361():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(6*x**2)+(18*x**3)+(14*x**4))/((1-x)*(1+x**4)))] }
-
-
-
-def A070362():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(3*x)-(9*x**2)-(27*x**3)-(37*x**4)-(23*x**5)-(25*x**6)-(31*x**7)-(5*x**8)-(15*x**9))/((x-1)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070363():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(3*x)-(9*x**2)-(27*x**3)-(35*x**4)-(13*x**5)-(39*x**6)-(25*x**7)-(29*x**8)-(41*x**9)-(31*x**10))/((x-1)*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10)))] }
-
-
-
-def A070365():
- x = SR.var('x')
- return { 'ogf': [((((1+(4*x))-x**2)+(3*x**3))/((1-x)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A070366():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(2*x**2)-(2*x**3))/((x-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A070367():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(3*x**2)-(4*x**3)-(9*x**4))/((x-1)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A070368():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(8*x**2))/((x-1)*(1+x**2)))] }
-
-
-
-def A070369():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(3*x)-(3*x**2))/((x-1)*((x**2-x)+1)))] }
-
-
-
-def A070370():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(9*x**2)-(13*x**3))/((x-1)*(1+x)*(1+x**2)))] }
-
-
-
-def A070371():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(4*x)-(3*x**2))+(2*x**3))-(7*x**4)-x**5)+(12*x**6))-(8*x**7)-(7*x**8))/((x-1)*(1+x**8)))] }
-
-
-
-def A070372():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(2*x**2)-(11*x**3))/((x-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A070373():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(6*x**2)-(11*x**3)-(17*x**4)-(9*x**5)-(7*x**6)-(16*x**7)-(4*x**8))/((x-1)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A070374():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(4*x))+x**2)-(17*x**3))/((x-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A070375():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(3*x**2)-(15*x**3)-(9*x**4))/((x-1)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A070376():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(21*x**2))/((x-1)*(1+x**2)))] }
-
-
-
-def A070377():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(4*x)-(20*x**2))+(8*x**3)+(13*x**4))-(16*x**5))+x**6+(5*x**7))-(2*x**8)-(11*x**9))/((x-1)*(1+x)*((x**2-x)+1)*((x**6-x**3)+1)))] }
-
-
-
-def A070378():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(4*x)-(21*x**2))+(8*x**3))-(17*x**4))/((x-1)*(1+x+x**2)*((1-x)+x**2)))] }
-
-
-
-def A070379():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(4*x)-(20*x**2))+(16*x**3))-(7*x**4)-(6*x**5)-x**6-(6*x**7))/((x-1)*(1+x)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070380():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(25*x**2)-(29*x**3)-(17*x**4)-(21*x**5)-(9*x**6)-(13*x**7))/((x-1)*(1+x)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A070381():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(25*x**2)-(26*x**3)-(31*x**4)-(23*x**5)-(16*x**6)-(14*x**7)-(4*x**8)-(20*x**9))/((x-1)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070382():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(4*x)-(20*x**2))+(2*x**3)+(10*x**4))-(18*x**5))+(12*x**6))-(8*x**7)-(7*x**8))/((x-1)*(1+x**8)))] }
-
-
-
-def A070383():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(25*x**2)-(17*x**3)-(13*x**4)-(29*x**5))/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A070384():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((-1)-(4*x)-(20*x**2))+(11*x**3))-(19*x**4))+(16*x**5)+(6*x**6))-(7*x**7))+(2*x**8)+(10*x**9))-(24*x**10))+(28*x**11))-(8*x**12)-(3*x**13)-(15*x**14)-x**15-(5*x**16))+(12*x**17))-(15*x**18))/((x-1)*(x**2+1)*((x**4-x**2)+1)*((x**12-x**6)+1)))] }
-
-
-
-def A070385():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(25*x**2)-(11*x**3)-(17*x**4)-(9*x**5)-(7*x**6)-(35*x**7)-(23*x**8))/((x-1)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A070386():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(25*x**2)-(8*x**3))/((x-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A070387():
- x = SR.var('x')
- return { 'ogf': [(((((((((-1)-(4*x)-(20*x**2))+(23*x**3))-(8*x**4))+x**5+(5*x**6))-(16*x**7))+(2*x**8)+(10*x**9))-(33*x**10))/((x-1)*(x**2+1)*((((x**8-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A070388():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(17*x**2))/((1-x)*((x**2-x)+1)))] }
-
-
-
-def A070389():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((-1)-(4*x)-(20*x**2)-(14*x**3))+(16*x**4))-(6*x**5))+(13*x**6))-(21*x**7))+(24*x**8))-(9*x**9)-(2*x**10)-(10*x**11)-(7*x**12))+(8*x**13))-(3*x**14))+(28*x**15))-(32*x**16))+(12*x**17)+(17*x**18))-x**19-(5*x**20)-(26*x**21))/((x-1)*(1+x)*((x**2-x)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)*(((((x**12+x**11)-x**9-x**8)+x**6)-x**4-x**3)+x+1)))] }
-
-
-
-def A070390():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(25*x**2)-(37*x**3)-(9*x**4))/((x-1)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A070394():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(5*x))+(4*x**2))-(10*x**3))+(8*x**4))-(3*x**5)-x**6-(6*x**7)-(3*x**8))/((x-1)*(1+x**8)))] }
-
-
-
-def A070395():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(6*x)-(17*x**2)-(7*x**3)-(4*x**4)-(5*x**5)-(11*x**6)-(9*x**7)-(16*x**8))/((x-1)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A070397():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(6*x)-(11*x**2)-(16*x**3)-(21*x**4))/((x-1)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A070398():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(5*x)-x**2-(6*x**3)-(7*x**4))+(16*x**5))-(20*x**6)-(5*x**7))/((x-1)*(1+x)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070399():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(5*x))+x**2)-(26*x**3))/((x-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A070400():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(31*x**2))/((x-1)*(1+x**2)))] }
-
-
-
-def A070402():
- x = SR.var('x')
- return { 'ogf': [((1+x+(3*x**2))/((1-x)*(1+x**2)))] }
-
-
-
-def A070403():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(4*x**2))/((1-x)*(1+x+x**2)))] }
-
-
-
-def A070404():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(6*x))+(2*x**2)+(3*x**3))-x**4-(8*x**5))/((x-1)*(1+x)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070405():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(6*x)-(3*x**2))+(5*x**3))-(4*x**4)-(2*x**5)-(2*x**6))/((x-1)*(x**2+1)*((x**4-x**2)+1)))] }
-
-
-
-def A070406():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(4*x**2)-(13*x**3))/((x-1)*(1+x)*(1+x**2)))] }
-
-
-
-def A070407():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(6*x)-(8*x**2))+(12*x**3))-x**4-(7*x**5))+(2*x**6))-(3*x**7)-(5*x**8))/((x-1)*(1+x**8)))] }
-
-
-
-def A070408():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(6*x))+(2*x**2))-(8*x**3))+(10*x**4))-(19*x**5))/((x-1)*(1+x)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070409():
- x = SR.var('x')
- return { 'ogf': [(((((((((((-1)-(6*x))+(4*x**2))-(18*x**3))+(12*x**4))-(8*x**5))+(13*x**6))-x**7-(7*x**8)-(3*x**9))+(2*x**10))-(10*x**11))/((x-1)*(1+x)*((((((((((x**10-x**9)+x**8)-x**7)+x**6)-x**5)+x**4)-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070410():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(6*x)-(18*x**2))/((x-1)*(1+x**2)))] }
-
-
-
-def A070412():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(22*x**2)-(19*x**3)-(25*x**4)-(13*x**5)-(10*x**6)-(16*x**7)-(4*x**8))/((x-1)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A070413():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(20*x**2)-(24*x**3)-(23*x**4)-(16*x**5)-(25*x**6))/((x-1)*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A070414():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(6*x)-(13*x**2))/((x-1)*(1+x**2)))] }
-
-
-
-def A070416():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(17*x**2)-(23*x**3))/((x-1)*(1+x)*(1+x**2)))] }
-
-
-
-def A070419():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(13*x**2)-(19*x**3)-(25*x**4)-(31*x**5))/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A070420():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(12*x**2)-(10*x**3)-(33*x**4)-(9*x**5)-(26*x**6)-(34*x**7)-(16*x**8))/((x-1)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A070422():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(9*x**2)-(24*x**3)-(13*x**4)-(13*x**5)-(12*x**6)-(6*x**7)-(4*x**8)-(28*x**9))/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1)*((1-x**2)+x**4)))] }
-
-
-
-def A070423():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(9*x**2)-(23*x**3))/((x-1)*(1+x)*(1+x**2)))] }
-
-
-
-def A070424():
- x = SR.var('x')
- return { 'ogf': [(((((((((((-1)-(6*x)-x**2-(7*x**3)-(8*x**4)-(15*x**5))+(18*x**6)+(3*x**7))-(20*x**8))+(24*x**9)+(4*x**10))-(13*x**11)-(9*x**12))+(19*x**13)+(10*x**14))-(12*x**15)-(2*x**16)-(14*x**17))+(25*x**18))-(30*x**19)-(6*x**20))/((x-1)*(x**4+1)*((((x**16-x**12)+x**8)-x**4)+1)))] }
-
-
-
-def A070426():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(6*x))+(2*x**2))-(30*x**3))+(10*x**4))-(19*x**5))/((x-1)*(1+x)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A070427():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(7*x)-(4*x**2)-(28*x**3)-(16*x**4)-(22*x**5)-(19*x**6)-(43*x**7)-(31*x**8)-(37*x**9)-(34*x**10)-(13*x**11))/((x-1)*(1+x+x**2)*(1+x)*((1-x)+x**2)*(1+x**2)*((x**4-x**2)+1)))] }
-
-
-
-def A070432():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(4*x)+x**2))/((x-1)*(1+x)*(x**2+1))))] }
-
-
-
-def A070433():
- x = SR.var('x')
- return { 'ogf': [((-(x*(1+x)*(((((x**6+(3*x**5))-(3*x**4))+(10*x**3))-(3*x**2))+(3*x)+1)))/((x-1)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A070436():
- x = SR.var('x')
- return { 'ogf': [((x**12+(4*x**11)+(9*x**10)+(3*x**9)+(12*x**8)+(10*x**7)+(10*x**6)+(12*x**5)+(3*x**4)+(9*x**3)+(4*x**2)+x)/((-x**13)+1))] }
-
-
-
-def A070438():
- x = SR.var('x')
- return { 'ogf': [((x**14+(4*x**13)+(9*x**12)+x**11+(10*x**10)+(6*x**9)+(4*x**8)+(4*x**7)+(6*x**6)+(10*x**5)+x**4+(9*x**3)+(4*x**2)+x)/((-x**15)+1))] }
-
-
-
-def A070442():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(4*x)+(9*x**2)+(16*x**3)+(5*x**4)+(16*x**5)+(9*x**6)+(4*x**7)+x**8))/((x-1)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1))))] }
-
-
-
-def A070447():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**2)+(9*x**3)+(16*x**4)+(11*x**6)+(24*x**7)+(14*x**8)+(6*x**9)+(21*x**11)+(19*x**12)+(19*x**13)+(21*x**14)+(6*x**16)+(14*x**17)+(24*x**18)+(11*x**19)+(16*x**21)+(9*x**22)+(4*x**23)+x**24)/(1-x**25))] }
-
-
-
-def A070448():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**2)+(9*x**3)+(16*x**4)+(25*x**5)+(10*x**6)+(23*x**7)+(12*x**8)+(3*x**9)+(22*x**10)+(17*x**11)+(14*x**12)+(13*x**13)+(14*x**14)+(17*x**15)+(22*x**16)+(3*x**17)+(12*x**18)+(23*x**19)+(10*x**20)+(25*x**21)+(16*x**22)+(9*x**23)+(4*x**24)+x**25)/(1-x**26))] }
-
-
-
-def A070471():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+(2*x**2)+(4*x**3)))/((x-1)*(1+x+x**2+x**3+x**4))))] }
-
-
-
-def A070474():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(8*x)+(3*x**2)+(4*x**3)+(5*x**4)+(7*x**6)+(8*x**7)+(9*x**8)+(4*x**9)+(11*x**10)))/((x-1)*(1+x+x**2)*(1+x)*((1-x)+x**2)*(1+x**2)*((x**4-x**2)+1))))] }
-
-
-
-def A070511():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(4*x)+(3*x**2)+(4*x**3)+x**4))/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1))))] }
-
-
-
-def A070550():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-x**3-x**4))] }
-
-
-
-def A070638():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(((((((((x**12+(3*x**11)+(6*x**10))-(5*x**9))+(15*x**8))-(9*x**7))+(13*x**6))-(9*x**5))+(15*x**4))-(5*x**3))+(6*x**2)+(3*x)+1))/((x-1)*(1+x**4+x**3+x**2+x)*(1+x+x**2)*((((((1-x)+x**3)-x**4)+x**5)-x**7)+x**8))))] }
-
-
-
-def A070690():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+(2*x**2)+(4*x**3)))/((x-1)*(1+x+x**2+x**3+x**4))))] }
-
-
-
-def A070778():
- x = SR.var('x')
- return { 'ogf': [(((x**2+x)-1)/((((x**6+x**5)-(5*x**4)-(4*x**3))+(6*x**2)+(3*x))-1))] }
-
-
-
-def A070875():
- x = SR.var('x')
- return { 'ogf': [((5+(7*x))/(1-(2*x**2)))] }
-
-
-
-def A070876():
- x = SR.var('x')
- return { 'ogf': [((3*(3+(5*x)))/(1-(2*x**2)))] }
-
-
-
-def A070893():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1+x)*(1-x)**5))] }
-
-
-
-def A070967():
- x = SR.var('x')
- return { 'ogf': [(((1-(36*x)-(841*x**2))+(288*x**3))/((1-x)*(1+(27*x))*(1-(64*x))))] }
-
-
-
-def A070997():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(8*x))+x**2))] }
-
-
-
-def A070998():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(9*x))+x**2))] }
-
-
-
-def A071009():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(5*x**2)+(8*x**3)+(5*x**4)+x**5+x**6))/(1+x+x**2)/(1+x)**2/(1-x)**6)] }
-
-
-
-def A071046():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**5+(4*x**4)+x**3+(2*x**2))/((1-x**3)*(1-x**4)))] }
-
-
-
-def A071047():
- x = SR.var('x')
- return { 'ogf': [(((2*x**5)+x**4+(5*x**3)+(3*x**2)+(3*x)+1)/((1-x**3)*(1-x**4)))] }
-
-
-
-def A071054():
- x = SR.var('x')
- return { 'ogf': [(((-x**3)+(2*x**2)+(3*x)+1)/(1-x**2)**2)] }
-
-
-
-def A071099():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(5*x))+x**2))/((1-x)**3*(1-(2*x))))] }
-
-
-
-def A071100():
- x = SR.var('x')
- return { 'ogf': [(((5+(3*x)+x**2)-x**3)/((1-(2*x)-(2*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A071101():
- x = SR.var('x')
- return { 'ogf': [(((5+(6*x)+(3*x**2))-(2*x**3))/((1-(2*x)-(2*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A071171():
- x = SR.var('x')
- return { 'ogf': [(((5*x**2)+(82*x**3)+(186*x**4)+(82*x**5)+(5*x**6))/(1-x)**8)] }
-
-
-
-def A071229():
- x = SR.var('x')
- return { 'ogf': [((x+(5*x**2)+(8*x**3))/(x-1)**4)] }
-
-
-
-def A071231():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((x*((x*((x*((x*((x*(x+126))+2007))+5812))+2007))+126))+1))/(x-1)**9))] }
-
-
-
-def A071232():
- x = SR.var('x')
- return { 'ogf': [(-((x*((28*x**4)+(155*x**3)+(147*x**2)+(29*x)+1))/(x-1)**7))] }
-
-
-
-def A071236():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(517*x)+(23893*x**2)+(227569*x**3)+(655315*x**4)+(655039*x**5)+(227623*x**6)+(23947*x**7)+(496*x**8)))/(1-x)**11)] }
-
-
-
-def A071237():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(5*x*(1+x))))/(1-x)**5)] }
-
-
-
-def A071238():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(3*x)))/(1-x)**5)] }
-
-
-
-def A071239():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+(2*x**2)))/(x-1)**5))] }
-
-
-
-def A071252():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+(5*x)+(2*x**2)))/(1-x)**5)] }
-
-
-
-def A071253():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)*(1+(4*x)+x**2))/(1-x)**5)] }
-
-
-
-def A071289():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(12*x**2)+(16*x**3)+(7*x**4)+(3*x**5)))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A071356():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt((1-(4*x)-(4*x**2))))/(4*x**2))] }
-
-
-
-def A071408():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(x**2-x-1))/((1+x+x**2)*(x-1)**3))] }
-
-
-
-def A071533():
- x = SR.var('x')
- return { 'ogf': [((x*((((243*x**4)+(54*x**3)+(3*x**2))-x)+1))/((1-(3*x))*(1+(5*x)+(16*x**2)+(45*x**3)+(81*x**4))))] }
-
-
-
-def A071534():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**4+(3*x**2))-(3*x))+1))/(((-x**5)-(3*x**3))+(3*x**2)+1))] }
-
-
-
-def A071535():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((64*x**4)-(80*x**3))+(36*x**2))-(5*x))+1))/((4*x)-1)**5))] }
-
-
-
-def A071618():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3))/((1-x**3)*((1-(3*x))+x**2)))] }
-
-
-
-def A071619():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x**2))/(1+x+x**2)/(1-x)**3)] }
-
-
-
-def A071684():
- x = SR.var('x')
- return { 'ogf': [(((1/4)*((1+(4*x**2))**(1/2)-(1-(4*x))**(1/2)-(2*x)))/x)] }
-
-
-
-def A071688():
- x = SR.var('x')
- return { 'ogf': [(((1/4)*(((2-(1-(4*x))**(1/2))+(2*x))-(1+(4*x**2))**(1/2)))/x)] }
-
-
-
-def A071724():
- x = SR.var('x')
- return { 'ogf': [(((((1-sqrt((1-(4*x))))/(2*x))-1)*(1-x))/x)] }
-
-
-
-def A071768():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((2*x)+1)*(((2*x**2)+(5*x))-1))/((x-1)*(x**2+x+1)**2)))] }
-
-
-
-def A071769():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((((2304*x**8)+(2304*x**7)+(1280*x**6))-(704*x**5))+(224*x**4)+(48*x**3)+(16*x**2))-(4*x))+1))/(((2*x)-1)**2*((2*x)+1)**2*((4*x**2)+1)**3)))] }
-
-
-
-def A071784():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**2))+2)/((1-x)*((1-x**2)+x**3)))] }
-
-
-
-def A071816():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(14*x)+(36*x**2)+(14*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A071831():
- x = SR.var('x')
- return { 'ogf': [((((15*x**27)+(9*x**22)+(15*x**20)+(5*x**16)+(9*x**15)+(15*x**13)+(3*x**11)+(5*x**9)+(9*x**8))-(15*x**6)-(5*x**5)-(3*x**4)-(4*x**3)-(5*x**2)-(9*x)-1)/((2*x**7)-1))] }
-
-
-
-def A071832():
- x = SR.var('x')
- return { 'ogf': [(((x**27+x**22+(2*x**20)+x**16+(2*x**15)+(4*x**13)+x**11+(2*x**9)+(4*x**8))-(8*x**6)-(3*x**5)-(2*x**4)-(3*x**3)-(4*x**2)-(8*x)-1)/((x-1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A071833():
- x = SR.var('x')
- return { 'ogf': [(-(((45*x**6)+(40*x**5)+(36*x**4)+(32*x**3)+(30*x**2)+(27*x)+24)/((2*x**7)-1)))] }
-
-
-
-def A071902():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**4-(11*x**3)-(20*x**2)-(11*x))+1))/(x-1)**6))] }
-
-
-
-def A071910():
- x = SR.var('x')
- return { 'ogf': [((18*x*(1+(3*x)+x**2))/(1-x)**7)] }
-
-
-
-def A071930():
- x = SR.var('x')
- return { 'ogf': [(-((6*x)/(((8*x**2)+(2*x))-1)))] }
-
-
-
-def A071952():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-(2*1*x))*(1-(3*2*x))*(1-(4*3*x))*(1-(5*4*x))))] }
-
-
-
-def A071953():
- x = SR.var('x')
- return { 'ogf': [(-((4*((3*x*(x+2))+1))/(x-1)**7))] }
-
-
-
-def A071954():
- x = SR.var('x')
- return { 'ogf': [(((6*x)-2)/((x-1)*(1+((x-4)*x))))] }
-
-
-
-def A072130():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*((1+x)-x**2))/((1-x)*((1-(3*x))+x**2)*(1+x+x**2)))] }
-
-
-
-def A072149():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(3+(6*x)+(11*x**2)+(13*x**3)+(15*x**4)+(15*x**5)+(16*x**6)+(15*x**7)+(15*x**8)+(13*x**9)+(11*x**10)+(6*x**11)+(3*x**12)))/((1+x**2)*(x**6+x**3+1)*(x-1)**2*(1+x+x**2)**2)))] }
-
-
-
-def A072150():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(3+(5*x)+(8*x**2)+(7*x**3)+(8*x**4)+(9*x**5)+(8*x**6)+(7*x**7)+(8*x**8)+(5*x**9)+(3*x**10)))/((x**6+x**3+1)*(x-1)**2*(1+x+x**2)**2)))] }
-
-
-
-def A072152():
- x = SR.var('x')
- return { 'ogf': [(-(((x**17+x**16)-x**15-(2*x**14)-(2*x**13)-(2*x**12)-(4*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(7*x**7)-(6*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(2*x**2)-(2*x)-1)/((x-1)**2*(x**2+1)*(x**4+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A072153():
- x = SR.var('x')
- return { 'ogf': [(((x**2+x+1)**2*(x**6+x**3+1))/((x-1)**2*(x**2+1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A072154():
- x = SR.var('x')
- return { 'ogf': [(((x+1)**2*((x**2-x)+1)*(x**2+x+1))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A072176():
- x = SR.var('x')
- return { 'ogf': [((x*(((-x**2)-x)+1))/((1-x)*((1-x-(2*x**2))+x**4)))] }
-
-
-
-def A072201():
- x = SR.var('x')
- return { 'ogf': [((x*(15-(14*x)))/((1-x)*(1-(4*x))))] }
-
-
-
-def A072229():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+x)*(1+x**2))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A072256():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(10*x))+x**2))] }
-
-
-
-def A072257():
- x = SR.var('x')
- return { 'ogf': [(-((3*((2-(13*x))+(12*x**2)))/((1-x)*(1-(4*x))**2)))] }
-
-
-
-def A072258():
- x = SR.var('x')
- return { 'ogf': [((3*x*(3-(4*x)))/((1-x)*(1-(4*x))**2))] }
-
-
-
-def A072259():
- x = SR.var('x')
- return { 'ogf': [((3*((4-(17*x))+(12*x**2)))/((1-x)*(1-(4*x))**2))] }
-
-
-
-def A072260():
- x = SR.var('x')
- return { 'ogf': [((3*((2-(7*x))+(4*x**2)))/((1-x)*(1-(4*x))**2))] }
-
-
-
-def A072262():
- x = SR.var('x')
- return { 'ogf': [((x*(11-(10*x)))/((1-(5*x))+(4*x**2)))] }
-
-
-
-def A072263():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/(1-(3*x)-(5*x**2)))] }
-
-
-
-def A072264():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(3*x)-(5*x**2)))] }
-
-
-
-def A072265():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-x-(4*x**2)))] }
-
-
-
-def A072266():
- x = SR.var('x')
- return { 'ogf': [(((((1-(8*x))+(20*x**2))-(16*x**3))+(2*x**4))/((((1-(9*x))+(26*x**2))-(25*x**3))+(4*x**4)))] }
-
-
-
-def A072277():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((-(3*x**3))+(11*x**2))-(15*x))+10))/(x-1)**4)] }
-
-
-
-def A072290():
- x = SR.var('x')
- return { 'ogf': [((((91*x**2)-(11*x))+1)/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A072345():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(2*x**2)-(2*x**3))/((1-x)*(1+x)*(1-(2*x**2))))] }
-
-
-
-def A072373():
- x = SR.var('x')
- return { 'ogf': [((-(8*x**2))+((x*(((1+(2*x))-(10*x**2))+(2*x**3)+x**4))/((1-x)*((1-(4*x))+x**2))**2))] }
-
-
-
-def A072465():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x**2-x**3-x**4-x**5))] }
-
-
-
-def A072474():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2)*(1+(4*x)+x**2))/(1-x)**6)] }
-
-
-
-def A072478():
- x = SR.var('x')
- return { 'ogf': [((x*(((2+(2*x))-(2*x**2)-(4*x**3)-x**5)+(2*x**7)))/((1-(3*x**2))+(2*x**4)))] }
-
-
-
-def A072563():
- x = SR.var('x')
- return { 'ogf': [((x*((((15*x**5)+(23*x**4))-(39*x**3)-(45*x**2))+(9*x)+9))/((((-x**6)+(6*x**4))-(6*x**2))+1))] }
-
-
-
-def A072674():
- x = SR.var('x')
- return { 'ogf': [((x*(4-(10*x)))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A072675():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(18*x**7)+(13*x**6)+(6*x**5)+(3*x**4)+(11*x**3)+(6*x**2)+x+1))/((x**9-x**8-x)+1))] }
-
-
-
-def A072682():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(11*x)+(6*x**2)+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A072683():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**8)+(6*x**7)+x**6+(2*x**5)+(18*x**4)+(13*x**3)+(6*x**2)+(3*x)+4))/((x**9-x**8-x)+1))] }
-
-
-
-def A072684():
- x = SR.var('x')
- return { 'ogf': [((2+x+(3*x**2)+(2*x**3)+x**4)/(((1-x-(5*x**2))+x**3+(3*x**4))-x**5))] }
-
-
-
-def A072702():
- x = SR.var('x')
- return { 'ogf': [((x*((9*x**4)+(33*x**3)+(6*x**2)+(3*x)+9))/((x**5-x**4-x)+1))] }
-
-
-
-def A072703():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x**2+x+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A072708():
- x = SR.var('x')
- return { 'ogf': [((x*((12*x**4)+(6*x**3)+(3*x**2)+(18*x)+21))/((x**5-x**4-x)+1))] }
-
-
-
-def A072709():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**8)+(13*x**7)+(6*x**6)+(3*x**5)+(11*x**4)+(6*x**3)+x**2+(2*x)+14))/((x**9-x**8-x)+1))] }
-
-
-
-def A072710():
- x = SR.var('x')
- return { 'ogf': [((x*((27*x**4)+(6*x**3)+(3*x**2)+(18*x)+6))/((x**5-x**4-x)+1))] }
-
-
-
-def A072711():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**8)+(6*x**7)+(3*x**6)+(11*x**5)+(6*x**4)+x**3+(2*x**2)+(18*x)+11))/((x**9-x**8-x)+1))] }
-
-
-
-def A072818():
- x = SR.var('x')
- return { 'ogf': [((20*x)/((1-(98*x))+x**2))] }
-
-
-
-def A072819():
- x = SR.var('x')
- return { 'ogf': [((8*(1+x)*x**2)/(1-x)**5)] }
-
-
-
-def A072833():
- x = SR.var('x')
- return { 'ogf': [((x*(((3*x**2)-(2*x))+5))/((x-1)**2*(x**2+1)))] }
-
-
-
-def A072834():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3+(3*x**2)+(5*x)+7))/((x**5-x**4-x)+1))] }
-
-
-
-def A072835():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**4-x**3-(2*x**2)-(3*x)-4))/((x**5-x**4-x)+1)))] }
-
-
-
-def A072836():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**6)-x**5-(3*x**4)-x**3-(4*x**2)-(7*x)-9))/((x**7-x**6-x)+1)))] }
-
-
-
-def A072850():
- x = SR.var('x')
- return { 'ogf': [(-((((x**9+x**7)-(2*x**6)-(2*x**4)-(2*x**3)-x**2)+1)/((((x**15+x**14)-(2*x**12)-(2*x**11)-(6*x**9)-(6*x**8)-(4*x**7))+(12*x**6)+(10*x**5)+(6*x**4)+(4*x**3)+(2*x**2)+x)-1)))] }
-
-
-
-def A072852():
- x = SR.var('x')
- return { 'ogf': [(-((((x**14+x**12+x**10+x**8)-(6*x**7)-x**6-(4*x**5)-(3*x**4)-(2*x**3)-x**2)+1)/((((x**21+x**20+x**17+x**16)-(10*x**14)-(10*x**13)-(4*x**12)-(6*x**10)-(6*x**9)-(4*x**8))+(28*x**7)+(22*x**6)+(13*x**5)+(7*x**4)+(4*x**3)+(2*x**2)+x)-1)))] }
-
-
-
-def A072853():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**20+x**18)-(2*x**16)-(2*x**14)-(6*x**12)-(2*x**11)-(4*x**10)-(4*x**9))+(12*x**8)+(2*x**7)+(8*x**6)+(6*x**5)+(4*x**4)+(2*x**3)+x**2)-1)/(((((x**28+x**27)-(2*x**24)-(2*x**23)-(10*x**20)-(11*x**19)-(5*x**18))+(20*x**16)+(20*x**15)+(8*x**14)+(28*x**12)+(28*x**11)+(19*x**10)+(11*x**9))-(56*x**8)-(44*x**7)-(26*x**6)-(14*x**5)-(8*x**4)-(4*x**3)-(2*x**2)-x)+1)))] }
-
-
-
-def A072854():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**27+x**26+x**25)-x**24)+(4*x**22)+(4*x**21))-(16*x**20)-(23*x**19)-(29*x**18))+x**17)-(3*x**16)-(20*x**15)-(8*x**14))+(44*x**13)+(56*x**12)+(79*x**11)+(67*x**10)+(63*x**9)+(69*x**8)+(76*x**7)+(36*x**6)+(24*x**5)+(16*x**4)+(7*x**3)+x**2)-x-1)/(((((x**34+(2*x**33)+x**32+(2*x**31)+(2*x**29)+(8*x**28))-(22*x**27)-(48*x**26)-(38*x**25)-(52*x**24)-(22*x**23)-(48*x**22)-(94*x**21))+(216*x**20)+(466*x**19)+(426*x**18)+(390*x**17)+(518*x**16)+(630*x**15)+(640*x**14)+(374*x**13)+(72*x**12))-(50*x**11)-(8*x**10)-(66*x**9)-(164*x**8)-(226*x**7)-(128*x**6)-(58*x**5)-(24*x**4)-(10*x**3)-(3*x**2))+1)))] }
-
-
-
-def A072855():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((((1-(2*x**2)-(7*x**3)-(16*x**4)-(28*x**5)-(32*x**6)-(58*x**7)-(156*x**8))+(67*x**9)+(76*x**10)+(68*x**11)+(145*x**12)+(12*x**13)+(156*x**14)+(180*x**15)+(704*x**16)+(344*x**17))-(454*x**18)-(276*x**19)-(480*x**20))+(158*x**21))-(260*x**22)-(116*x**23)-(780*x**24)-(756*x**25))+(168*x**26)+(206*x**27)+(900*x**28))-(340*x**29))+(126*x**30)+(132*x**31)+(276*x**32)+(28*x**33)+(16*x**34)+(24*x**35))-(107*x**36))+(36*x**37))-(14*x**38)-(7*x**39)-(28*x**40)-(4*x**42)-(2*x**43))+(4*x**44))-x**45)+x**48)/((((((((((((((((((((((((-1)+x+(3*x**2)+(8*x**3)+(20*x**4)+(46*x**5)+(114*x**6)+(242*x**7)+(354*x**8))-(250*x**9)-(490*x**10)-(660*x**11)-(496*x**12)-(24*x**13)-(1242*x**14)-(2430*x**15)-(2270*x**16)-(566*x**17))+(2241*x**18)+(5071*x**19)+(4259*x**20))-(632*x**21))+(1392*x**22)+(6396*x**23)+(5596*x**24))-(132*x**25))+(1316*x**26))-(6220*x**27)-(11116*x**28))+(736*x**29)+(344*x**30))-(5128*x**31)-(3684*x**32))+(1148*x**33))-(388*x**34))+(980*x**35)+(1665*x**36)+(239*x**37))-(199*x**38))+(688*x**39)+(540*x**40))-(106*x**41))+(50*x**42))-(78*x**43)-(102*x**44)-(58*x**45))+(22*x**46))-(44*x**47)-(40*x**48)-(2*x**50))+(2*x**51)+(2*x**52)+(2*x**53))-x**54)+x**55+x**56)))] }
-
-
-
-def A072856():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((((((((1-(2*x)-(3*x**2)-x**3)+(4*x**4))-(31*x**5)-(5*x**6))+(32*x**7))-(21*x**8))+(129*x**9)+(94*x**10))-(83*x**11))+(11*x**12))-(192*x**13)-(59*x**14))+(63*x**15))-(16*x**16))+(3*x**17))-(29*x**18)-(46*x**19)-(57*x**20))+(253*x**21))-(28*x**22)-(101*x**23))+(17*x**24)+(104*x**25))-(15*x**26)-(29*x**27))+(10*x**28))-x**29)+x**30)-x**32-(3*x**33))+x**35)/(((((((((((((((((((1-(3*x)-(2*x**2))+x**3+x**4)-(70*x**5)-(39*x**6))+(31*x**7)+(114*x**8)+(522*x**9)+(184*x**10))-(34*x**11)-(46*x**12)-(1444*x**13)-(202*x**14))+(606*x**15))-(1204*x**16)-(198*x**17))+(804*x**18))-(542*x**19))+(26*x**20)+(2372*x**21)+(318*x**22))-(1582*x**23))+(328*x**24)+(2018*x**25)+(222*x**26))-(810*x**27)-(184*x**28))+(706*x**29)+(14*x**30))-(204*x**31)-(70*x**32)-(14*x**33)-(28*x**34))+(22*x**35)+(11*x**36))-(47*x**37))+(8*x**38)+(11*x**39)+x**40+(4*x**41))-x**42-x**43))] }
-
-
-
-def A072881():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-(13*x**2)-(11*x**3))+(7*x**4)+(3*x**5)))/(((1-(14*x**2))+(14*x**4))-x**6))] }
-
-
-
-def A072985():
- x = SR.var('x')
- return { 'ogf': [(-((1+(2*x)+(4*x**2))/((-1)+(3*x**2))))] }
-
-
-
-def A073031():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2-x**5-x**10))] }
-
-
-
-def A073155():
- x = SR.var('x')
- return { 'ogf': [(((1/2)*(1-(1-(4*x*(1+x)**2))**(1/2)))/x/(1+x)**2)] }
-
-
-
-def A073156():
- x = SR.var('x')
- return { 'ogf': [(((1/4)*(1-(1-(4*x*(1+x)**2))**(1/2))**2)/x**2/(1+x)**4)] }
-
-
-
-def A073313():
- x = SR.var('x')
- return { 'ogf': [(((3-(8*x))+(4*x**2))/(((1-(4*x))+(4*x**2))-(2*x**3)))] }
-
-
-
-def A073351():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(97*x)+(287*x**2)+(159*x**3)+(13*x**4)))/(1-x)**7)] }
-
-
-
-def A073352():
- x = SR.var('x')
- return { 'ogf': [(((1-(13*x))+(4*x**2))/((1-x)*((1-(16*x))+x**2)))] }
-
-
-
-def A073371():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**2),
-(1/((1+x)*(1-(2*x)))**2)] }
-
-
-
-def A073372():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**3)] }
-
-
-
-def A073373():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**4)] }
-
-
-
-def A073374():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**5)] }
-
-
-
-def A073375():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**6)] }
-
-
-
-def A073376():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**7)] }
-
-
-
-def A073377():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**8)] }
-
-
-
-def A073378():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**9)] }
-
-
-
-def A073379():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((1+(2*x))*x))**10)] }
-
-
-
-def A073380():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((2+x)*x))**4)] }
-
-
-
-def A073381():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((2+x)*x))**5)] }
-
-
-
-def A073382():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((2+x)*x))**6)] }
-
-
-
-def A073383():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((2+x)*x))**7)] }
-
-
-
-def A073384():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((2+x)*x))**8)] }
-
-
-
-def A073385():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((2+x)*x))**9)] }
-
-
-
-def A073386():
- x = SR.var('x')
- return { 'ogf': [(1/(1-((2+x)*x))**10)] }
-
-
-
-def A073388():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**2)] }
-
-
-
-def A073389():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**3)] }
-
-
-
-def A073390():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**4)] }
-
-
-
-def A073391():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**5)] }
-
-
-
-def A073392():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**6)] }
-
-
-
-def A073393():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**7)] }
-
-
-
-def A073394():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**8)] }
-
-
-
-def A073397():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**9)] }
-
-
-
-def A073398():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x*(1+x)))**10)] }
-
-
-
-def A073446():
- x = SR.var('x')
- return { 'ogf': [(((6-(5*x)-(16*x**2)-(15*x**3)-(4*x**4))+x**5)/(((1-x-(4*x**2)-(5*x**3)-(2*x**4))+x**5)-x**6))] }
-
-
-
-def A073496():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x)+(3*x**2))/((1+x+(3*x**2))-x**3))] }
-
-
-
-def A073525():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x)-1)+((-(4*x))+1)**(1/2))/((((6*x**2)-(5*x))+(((-(4*x))+1)**(1/2)*x)+1)-((-(4*x))+1)**(1/2))))] }
-
-
-
-def A073548():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(10*x**2))/((1-x)*(1-(10*x))))] }
-
-
-
-def A073577():
- x = SR.var('x')
- return { 'ogf': [((x*((7+(2*x))-x**2))/(1-x)**3)] }
-
-
-
-def A073636():
- x = SR.var('x')
- return { 'ogf': [((x*((9*x**2)+(8*x)+1))/(1-x**3))] }
-
-
-
-def A073702():
- x = SR.var('x')
- return { 'ogf': [(((9+x+(10*x**2))-(28*x**3)-(7*x**4)-x**5)/(((1+x**2)-(6*x**3)-(3*x**4)-(2*x**5))+x**6))] }
-
-
-
-def A073717():
- x = SR.var('x')
- return { 'ogf': [((x+x**2)/(1-(3*x)-x**2-x**3))] }
-
-
-
-def A073720():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x**2)-(5*x)-1))/((x-1)*((5*x)-1))))] }
-
-
-
-def A073724():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(4*x))*(1-x)**2))] }
-
-
-
-def A073728():
- x = SR.var('x')
- return { 'ogf': [((3+x)/(1-x-x**2-x**3))] }
-
-
-
-def A073748():
- x = SR.var('x')
- return { 'ogf': [((((-3)+(9*x)+(6*x**2)+(24*x**3)+(5*x**4))-x**5)/((1-(2*x)-(3*x**2)-(6*x**3))+x**4+x**6))] }
-
-
-
-def A073778():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-x-x**2-x**3)**2)] }
-
-
-
-def A073782():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x)-x**2)**2/(1-x-x**2-x**3)**2)] }
-
-
-
-def A073817():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x)-(2*x**2)-x**3)/(1-x-x**2-x**3-x**4))] }
-
-
-
-def A073937():
- x = SR.var('x')
- return { 'ogf': [((((4-(3*x))+(2*x**2))-x**3)/(((1-x)+x**2)-x**3-x**4))] }
-
-
-
-def A073947():
- x = SR.var('x')
- return { 'ogf': [((x*(((((21*x**4)-(21*x**3))+(12*x**2))-(5*x))+1))/((1-(3*x))*(1+(3*x**2))*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A073948():
- x = SR.var('x')
- return { 'ogf': [(-((6*(x**4*(x-1)))/((1-(3*x))*(1+(3*x**2))*((1-(3*x))+(3*x**2)))))] }
-
-
-
-def A073949():
- x = SR.var('x')
- return { 'ogf': [(-((2*(x**2*((((3*x**3)-(3*x**2))+(3*x))-1)))/((1-(3*x))*(1+(3*x**2))*((1-(3*x))+(3*x**2)))))] }
-
-
-
-def A073950():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*((((3*x**3)-(3*x**2))+(3*x))-1))/((1-(3*x))*(1+(3*x**2))*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A073951():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((3*x**3)+(3*x**2))-(3*x))+1))/((1-(3*x))*(1+(3*x**2))*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A073952():
- x = SR.var('x')
- return { 'ogf': [((3*(x**3*((x**2-(2*x))+1)))/((1-(3*x))*(1+(3*x**2))*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A073963():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((525*x**6)-(525*x**5))+(190*x**4))-(26*x**2))+(9*x))-1))/(((5*x)-1)*((5*x**2)-1)*(((((25*x**4)-(25*x**3))+(15*x**2))-(5*x))+1))))] }
-
-
-
-def A073964():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(((((50*x**5)-(50*x**4))+(5*x**3)+(15*x**2))-(7*x))+1))/(((5*x)-1)*((5*x**2)-1)*(((((25*x**4)-(25*x**3))+(15*x**2))-(5*x))+1)))] }
-
-
-
-def A073965():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(((((50*x**4)-(50*x**3))+(30*x**2))-(15*x))+3))/(((5*x)-1)*((5*x**2)-1)*(((((25*x**4)-(25*x**3))+(15*x**2))-(5*x))+1)))] }
-
-
-
-def A073966():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((25*x**6)-(50*x**5))+(15*x**4)+(20*x**3))-(21*x**2))+(8*x))-1))/(((5*x)-1)*((5*x**2)-1)*(((((25*x**4)-(25*x**3))+(15*x**2))-(5*x))+1))))] }
-
-
-
-def A073967():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((25*x**4)+(75*x**3))-(85*x**2))+(35*x))-6))/(((5*x)-1)*((5*x**2)-1)*(((((25*x**4)-(25*x**3))+(15*x**2))-(5*x))+1))))] }
-
-
-
-def A073968():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((25*x**4)-(50*x**3))+(40*x**2))-(10*x)-1))/(((5*x)-1)*((5*x**2)-1)*(((((25*x**4)-(25*x**3))+(15*x**2))-(5*x))+1))))] }
-
-
-
-def A073969():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((((25*x**5)-(50*x**4))+(65*x**3))-(40*x**2))+(14*x))-2))/(((5*x)-1)*((5*x**2)-1)*(((((25*x**4)-(25*x**3))+(15*x**2))-(5*x))+1))))] }
-
-
-
-def A073970():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((((25*x**5)-(50*x**4))+(15*x**3))-(5*x**2))+(4*x))-1))/(((5*x)-1)*((5*x**2)-1)*(((((25*x**4)-(25*x**3))+(15*x**2))-(5*x))+1))))] }
-
-
-
-def A073995():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((26*x**3)+(5*x))-1-(13*x**2)))/((1-(2*x))*(1-(4*x))*(1+(4*x**2)))))] }
-
-
-
-def A073996():
- x = SR.var('x')
- return { 'ogf': [(((((6*x**2)-(3*x))+1)*x**2)/((1-(2*x))*(1-(4*x))*(1+(4*x**2))))] }
-
-
-
-def A073997():
- x = SR.var('x')
- return { 'ogf': [(-((((((2*x**3)-(3*x**2))+(4*x))-1)*x)/((1-(2*x))*(1-(4*x))*(1+(4*x**2)))))] }
-
-
-
-def A073998():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**2)+(5*x))-2)*x**2)/((1-(2*x))*(1-(4*x))*(1+(4*x**2)))))] }
-
-
-
-def A073999():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-3)*x**3)/((1-(2*x))*(1-(4*x))*(1+(4*x**2)))))] }
-
-
-
-def A074048():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x)-(3*x**2)-(2*x**3)-x**4)/(1-x-x**2-x**3-x**4-x**5))] }
-
-
-
-def A074058():
- x = SR.var('x')
- return { 'ogf': [((4+(3*x)+(2*x**2)+x**3)/((1+x+x**2+x**3)-x**4))] }
-
-
-
-def A074061():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+(5*x)+x**2))/((1-(10*x**2))+x**4))] }
-
-
-
-def A074062():
- x = SR.var('x')
- return { 'ogf': [((5+(4*x)+(3*x**2)+(2*x**3)+x**4)/((1+x+x**2+x**3+x**4)-x**5))] }
-
-
-
-def A074081():
- x = SR.var('x')
- return { 'ogf': [((((4+(3*x))-(2*x**2))+x**3)/((((1+x)-x**2)+x**3)-x**4))] }
-
-
-
-def A074082():
- x = SR.var('x')
- return { 'ogf': [(((2*x**4)-(2*x**6)-x**7)/(1-x-x**2)**3)] }
-
-
-
-def A074083():
- x = SR.var('x')
- return { 'ogf': [((((4*x**5)-(2*x**6)-(9*x**7))+x**8+(6*x**9)+(2*x**10))/(1-x-x**2)**4)] }
-
-
-
-def A074084():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)+x**4)/(1-(2*x)-x**2)**2)] }
-
-
-
-def A074085():
- x = SR.var('x')
- return { 'ogf': [(((5*x**4)-(6*x**5)-(8*x**6)-(2*x**7))/(1-(2*x)-x**2)**3)] }
-
-
-
-def A074086():
- x = SR.var('x')
- return { 'ogf': [((((14*x**5)-(41*x**6)-(6*x**7))+(49*x**8)+(30*x**9)+(5*x**10))/(1-(2*x)-x**2)**4)] }
-
-
-
-def A074087():
- x = SR.var('x')
- return { 'ogf': [(((6*x**3)+(9*x**4))/(1-(2*x)-(3*x**2))**2)] }
-
-
-
-def A074088():
- x = SR.var('x')
- return { 'ogf': [(((21*x**4)-(6*x**5)-(72*x**6)-(54*x**7))/(1-(2*x)-(3*x**2))**3)] }
-
-
-
-def A074089():
- x = SR.var('x')
- return { 'ogf': [((((78*x**5)-(123*x**6)-(498*x**7))+(297*x**8)+(1134*x**9)+(567*x**10))/(1-(2*x)-(3*x**2))**4)] }
-
-
-
-def A074092():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(8*x**2)+(8*x**3))-(16*x**4))/(1-(2*x))**3)] }
-
-
-
-def A074149():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*(x**2+(4*x)+1))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A074193():
- x = SR.var('x')
- return { 'ogf': [((((6+(5*x)+(8*x**2)+(6*x**3))-(4*x**4))+x**5)/((((1+x+(2*x**2)+(2*x**3))-(2*x**4))+x**5)-x**6))] }
-
-
-
-def A074305():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2-x)+1)*((3*x**2)+(4*x)+3))/(x**3-1)**2)] }
-
-
-
-def A074323():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(2*x**2)))] }
-
-
-
-def A074324():
- x = SR.var('x')
- return { 'ogf': [(-((1+x+x**2)/((-1)+(3*x**2))))] }
-
-
-
-def A074331():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*(1+x)*((x**2+x)-1)))] }
-
-
-
-def A074361():
- x = SR.var('x')
- return { 'ogf': [((x**4+(3*x**3))/(1-(3*x)-x**2)**2)] }
-
-
-
-def A074362():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**7))-(18*x**6)-(24*x**5))+(10*x**4))/(1-(3*x)-x**2)**3)] }
-
-
-
-def A074377():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+x**2))/((1-x)*(1-x**2)**2))] }
-
-
-
-def A074378():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+(3*x**2)))/((1-x)*(1-x**2)**2))] }
-
-
-
-def A074392():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((x-1)*(1+x)*((x**2+x)-1)))] }
-
-
-
-def A074453():
- x = SR.var('x')
- return { 'ogf': [((((6-(5*x))+(8*x**2))-(6*x**3)-(4*x**4)-x**5)/(((1-x)+(2*x**2))-(2*x**3)-(2*x**4)-x**5-x**6))] }
-
-
-
-def A074475():
- x = SR.var('x')
- return { 'ogf': [((3+x)/(1-(2*x**2)-(2*x**3)-x**4))] }
-
-
-
-def A074494():
- x = SR.var('x')
- return { 'ogf': [((x*(((2-(5*x))+(8*x**2))-(6*x**3)))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A074501():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(2*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074502():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(2*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074503():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(2*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074504():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(2*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074505():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(2*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074506():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(3*x)))+(1/(1-(4*x))))] }
-
-
-
-def A074507():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(3*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074508():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(3*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074509():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(3*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074510():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(3*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074511():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(4*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074512():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(4*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074513():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(4*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074514():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(4*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074515():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(4*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074516():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(5*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074517():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(5*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074518():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(5*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074519():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(5*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074520():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(6*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074521():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(6*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074522():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(6*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074523():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(7*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074524():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(7*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074525():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(8*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074526():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(3*x)))+(1/(1-(4*x))))] }
-
-
-
-def A074527():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(3*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074528():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(3*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074529():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(3*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074530():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(3*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074531():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(3*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074532():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(4*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074533():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(4*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074534():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(4*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074535():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(4*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074536():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(4*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074537():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(5*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074538():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(5*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074539():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(5*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074540():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(5*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074541():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(6*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074542():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(6*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074543():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(6*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074544():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(7*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074545():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(7*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074546():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(8*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074547():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(4*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074548():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(4*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074549():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(4*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074550():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(4*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074551():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(4*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074552():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(5*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074553():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(5*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074554():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(5*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074555():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(6*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074556():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(6*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074557():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(6*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074558():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(7*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074559():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(7*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074560():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(8*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074561():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(5*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074562():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(5*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074563():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(5*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074564():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(5*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074565():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(6*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074566():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(6*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074567():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(6*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074568():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(7*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074569():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(7*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074570():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(8*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074571():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(6*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074572():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(6*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074573():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(6*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074574():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(7*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074575():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(7*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074576():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(8*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074577():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(6*x)))+(1/(1-(7*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074578():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(6*x)))+(1/(1-(7*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074579():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(6*x)))+(1/(1-(8*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074580():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(7*x)))+(1/(1-(8*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074581():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-x**2)/(((1-(7*x))+(5*x**2))-x**3))] }
-
-
-
-def A074582():
- x = SR.var('x')
- return { 'ogf': [(((3-(14*x))+(5*x**2))/(((1-(7*x))+(5*x**2))-x**3))] }
-
-
-
-def A074584():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x)-(4*x**2)-(3*x**3)-(2*x**4)-x**5)/(1-x-x**2-x**3-x**4-x**5-x**6))] }
-
-
-
-def A074585():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x)+x**2)/(((1+x)-(2*x**3)-x**4)+x**5))] }
-
-
-
-def A074600():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074601():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074602():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074603():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074604():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074605():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(4*x))))] }
-
-
-
-def A074606():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074607():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074608():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074609():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074610():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(3*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074611():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(5*x))))] }
-
-
-
-def A074612():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074613():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074614():
- x = SR.var('x')
- return { 'ogf': [((2-(13*x))/((1-(4*x))*(1-(9*x))))] }
-
-
-
-def A074615():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(6*x))))] }
-
-
-
-def A074616():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074617():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074618():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(5*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074619():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(6*x)))+(1/(1-(7*x))))] }
-
-
-
-def A074620():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(6*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074621():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(6*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074622():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(7*x)))+(1/(1-(8*x))))] }
-
-
-
-def A074623():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(7*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074624():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(8*x)))+(1/(1-(9*x))))] }
-
-
-
-def A074662():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-x-x**3-x**4))] }
-
-
-
-def A074677():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x-x**3-x**4))] }
-
-
-
-def A074678():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x)-x**2)/(1-x-(2*x**3)-x**4-x**5))] }
-
-
-
-def A074742():
- x = SR.var('x')
- return { 'ogf': [((((2-(5*x))+(7*x**2))-(3*x**3))/(1-x)**4)] }
-
-
-
-def A074752():
- x = SR.var('x')
- return { 'ogf': [((x**5*((1+x)-x**6))/((x-1)*(x**2-1)*(x**3-1)*(x**6-1)))] }
-
-
-
-def A074825():
- x = SR.var('x')
- return { 'ogf': [(((((5-(16*x))+(21*x**2))-(12*x**3))+(3*x**4))/(((((1-(4*x))+(7*x**2))-(6*x**3))+(3*x**4))-(2*x**5)))] }
-
-
-
-def A074826():
- x = SR.var('x')
- return { 'ogf': [(((((5-(24*x))+(45*x**2))-(40*x**3))+(15*x**4))/(((((1-(6*x))+(15*x**2))-(20*x**3))+(15*x**4))-(4*x**5)))] }
-
-
-
-def A074872():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-(5*x**2)))] }
-
-
-
-def A074877():
- x = SR.var('x')
- return { 'ogf': [(((15-(14*x))+(8*x**2))/(((4*x)-1)*((2*x)-1)*(x-1)**2))] }
-
-
-
-def A075091():
- x = SR.var('x')
- return { 'ogf': [((4-(6*x**2))/((1-(3*x**2))+x**4))] }
-
-
-
-def A075092():
- x = SR.var('x')
- return { 'ogf': [((6-(4*x**2)-(12*x**3)-(2*x**4))/((1-x**2-(4*x**3)-x**4)+x**6))] }
-
-
-
-def A075111():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x-(2*x**3)-x**4-x**5))] }
-
-
-
-def A075112():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x)-(2*x**2)-x**3)/(1-x-(2*x**3)-(2*x**4)-x**5-x**6))] }
-
-
-
-def A075114():
- x = SR.var('x')
- return { 'ogf': [((x*((((117*x**4)-(4091*x**3))+(3951*x**2)+(19*x))-4))/((x-1)*((x**2-(34*x))+1)))] }
-
-
-
-def A075115():
- x = SR.var('x')
- return { 'ogf': [(((3-(4*x))+(2*x**2))/(((1-(2*x))+(2*x**2))-(2*x**3)))] }
-
-
-
-def A075116():
- x = SR.var('x')
- return { 'ogf': [((((4-(15*x))+(16*x**2))-(6*x**3))/((((1-(5*x))+(8*x**2))-(6*x**3))+x**4))] }
-
-
-
-def A075118():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-x-(3*x**2)))] }
-
-
-
-def A075125():
- x = SR.var('x')
- return { 'ogf': [((x**2/2)*(((1-x**2-(2*x**3))+x**4)-(((1+x)-x**2)*sqrt(((1+x+x**2)*((1-(3*x))+x**2))))))] }
-
-
-
-def A075128():
- x = SR.var('x')
- return { 'ogf': [(((4-(9*x))+(4*x**2)+(2*x**3))/(((1-(3*x))+(2*x**2)+(2*x**3))-(3*x**4)))] }
-
-
-
-def A075129():
- x = SR.var('x')
- return { 'ogf': [((((4-(15*x))+(20*x**2))-(10*x**3))/((((1-(5*x))+(10*x**2))-(10*x**3))+(3*x**4)))] }
-
-
-
-def A075150():
- x = SR.var('x')
- return { 'ogf': [(((4+(7*x))-x**2)/((1+(2*x))-(2*x**2)-x**3))] }
-
-
-
-def A075151():
- x = SR.var('x')
- return { 'ogf': [(((8+(23*x))-(24*x**2)-x**3)/(((x**2+x)-1)*(x**2-(4*x)-1)))] }
-
-
-
-def A075153():
- x = SR.var('x')
- return { 'ogf': [((3*(((106+(357*x)+(1680*x**2)+(1465*x**3)+(1785*x**4))-(1600*x**5)-(1900*x**6)-(3400*x**7)-(6800*x**8)-(9780*x**9)-(9860*x**10))+(6720*x**11)+(10064*x**12)+(11088*x**13)))/((1-x)*(1+x+x**2)*(1-(2*x**3))*(1+(2*x**3))*(1-(4*x**3))))] }
-
-
-
-def A075155():
- x = SR.var('x')
- return { 'ogf': [(((8-(23*x)-(24*x**2))+x**3)/(((x**2+(4*x))-1)*(x**2-x-1)))] }
-
-
-
-def A075156():
- x = SR.var('x')
- return { 'ogf': [(((((5-(24*x))+(39*x**2))-(28*x**3))+(7*x**4))/(((((1-(6*x))+(13*x**2))-(14*x**3))+(7*x**4))-(2*x**5)))] }
-
-
-
-def A075194():
- x = SR.var('x')
- return { 'ogf': [((((5-(16*x))+(15*x**2))-(5*x**4))/((((1-(4*x))+(5*x**2))-(5*x**4))+(4*x**5)))] }
-
-
-
-def A075253():
- x = SR.var('x')
- return { 'ogf': [((((77+(166*x)+(36*x**2)+(186*x**3)+(96*x**4))-(636*x**5)-(672*x**6)-(348*x**7)-(44*x**8))+(632*x**9)+(504*x**10))/((1-x)*(1+x)*(1-(2*x**2))*(1-(2*x**4))))] }
-
-
-
-def A075268():
- x = SR.var('x')
- return { 'ogf': [((((((((((442+(629*x)+(372*x**3)+(1530*x**4))-(192*x**5)-(2244*x**6)-(852*x**7)-(3784*x**8)-(8090*x**9))+(5046*x**10)+(29034*x**11)+(47016*x**12)+(54354*x**13)+(79152*x**14)+(70254*x**15)+(65196*x**16)+(358986*x**17)+(724128*x**18)+(334026*x**19)+(2081820*x**20)+(6043662*x**21)+(18678462*x**22)+(8601966*x**23))-(23147244*x**24)-(15039648*x**25)-(31927752*x**26)-(67877562*x**27))+(43880046*x**28)+(297766074*x**29)+(396480108*x**30)+(734881086*x**31)+(3.072255774E9*x**32)+(1018370430*x**33))-(3.93984426E9*x**34)-(4.608944376E9*x**35)-(6.616834356E9*x**36)-(3.107825028E9*x**37))+(6.655931736E9*x**38)+(7.777900872E9*x**39)+(484428384*x**40))-(2.2334136E9*x**41)-(62899200*x**42))+(188697600*x**43))/((1-x)*(1+x)*(1-(2*x**2))*(1-(2*x**4))))] }
-
-
-
-def A075269():
- x = SR.var('x')
- return { 'ogf': [((2+x+(2*x**2))/((1+(3*x)+x**2)*(1-x)))] }
-
-
-
-def A075298():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(3*x**2))/((1+x+x**2)-x**3))] }
-
-
-
-def A075415():
- x = SR.var('x')
- return { 'ogf': [((36*x*(1+(10*x)))/((1-x)*(1-(10*x))*(1-(100*x))))] }
-
-
-
-def A075436():
- x = SR.var('x')
- return { 'ogf': [((x*(1-sqrt((1-(4*x)))-(8*x)))/((-3)+(16*x)))] }
-
-
-
-def A075467():
- x = SR.var('x')
- return { 'ogf': [(-((15*((((1426085120*x**11)+(749251744*x**10)+(419191024*x**9))-(1430263104*x**8)-(715827880*x**7)-(369055228*x**6)-(352343296*x**5)-(222825800*x**4)-(155978060*x**3))+(356521280*x**2)+(189401930*x)+105842255))/((x-1)*(x**2+x+1)*((2*x**3)-1)*((2*x**3)+1)*((4*x**3)-1))))] }
-
-
-
-def A075510():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(4*x))*(1-(6*x))*(1-(8*x))*(1-(10*x))))] }
-
-
-
-def A075528():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A075553():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/(1+x**4))] }
-
-
-
-def A075554():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((16*x**11)-(16*x**10)-(16*x**9)-(24*x**8)-(8*x**7))+(4*x**6)+(12*x**5)+(22*x**4)+x**3+(12*x**2)+(4*x)+2))/((x-1)*(x+1)*(x**2+1)*((2*x**2)-1)**2*((2*x**2)+1)**2)))] }
-
-
-
-def A075561():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((x**2-x)+1))/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A075664():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(27*x)+(153*x**2)+(268*x**3)+(153*x**4)+(27*x**5)+x**6))/(1-x)**8)] }
-
-
-
-def A075665():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(87*x)+(1252*x**2)+(5533*x**3)+(8934*x**4)+(5533*x**5)+(1252*x**6)+(87*x**7)+x**8))/(1-x)**10)] }
-
-
-
-def A075666():
- x = SR.var('x')
- return { 'ogf': [((x*(x**10+(263*x**9)+(8691*x**8)+(83454*x**7)+(301932*x**6)+(458718*x**5)+(301932*x**4)+(83454*x**3)+(8691*x**2)+(263*x)+1))/(x-1)**12)] }
-
-
-
-def A075667():
- x = SR.var('x')
- return { 'ogf': [((x*(x**12+(779*x**11)+(55366*x**10)+(1053755*x**9)+(7499895*x**8)+(23228658*x**7)+(33620292*x**6)+(23228658*x**5)+(7499895*x**4)+(1053755*x**3)+(55366*x**2)+(779*x)+1))/(x-1)**14)] }
-
-
-
-def A075668():
- x = SR.var('x')
- return { 'ogf': [((x*(x**14+(2299*x**13)+(337525*x**12)+(11989784*x**11)+(154720571*x**10)+(875467853*x**9)+(2.397170367E9*x**8)+(3.3368292E9*x**7)+(2.397170367E9*x**6)+(875467853*x**5)+(154720571*x**4)+(11989784*x**3)+(337525*x**2)+(2299*x)+1))/(x-1)**16)] }
-
-
-
-def A075669():
- x = SR.var('x')
- return { 'ogf': [((x*(x**16+(6799*x**15)+(2013224*x**14)+(128186937*x**13)+(2.839367964E9*x**12)+(2.7332724427E10*x**11)+(1.29026301848E11*x**10)+(3.19786366637E11*x**9)+(4.31174080326E11*x**8)+(3.19786366637E11*x**7)+(1.29026301848E11*x**6)+(2.7332724427E10*x**5)+(2.839367964E9*x**4)+(128186937*x**3)+(2013224*x**2)+(6799*x)+1))/(x-1)**18)] }
-
-
-
-def A075670():
- x = SR.var('x')
- return { 'ogf': [((x*(x**18+(20175*x**17)+(11889255*x**16)+(1319968434*x**15)+(4.829944299E10*x**14)+(7.52964012192E11*x**13)+(5.75743209405E12*x**12)+(2.346875106027E13*x**11)+(5.3583908362248E13*x**10)+(7.036271303677E13*x**9)+(5.3583908362248E13*x**8)+(2.346875106027E13*x**7)+(5.75743209405E12*x**6)+(7.52964012192E11*x**5)+(4.829944299E10*x**4)+(1319968434*x**3)+(11889255*x**2)+(20175*x)+1))/(x-1)**20)] }
-
-
-
-def A075671():
- x = SR.var('x')
- return { 'ogf': [((x**20+(60051*x**19)+(69959002*x**18)+(1.3288708503E10*x**17)+(7.81445555829E11*x**16)+(1.9040717780376E13*x**15)+(2.25625446425352E14*x**14)+(1.431958892640624E15*x**13)+(5.170348336132746E15*x**12)+(1.1021721646301518E16*x**11)+(1.4154518527431996E16*x**10)+(1.1021721646301518E16*x**9)+(5.170348336132746E15*x**8)+(1.431958892640624E15*x**7)+(2.25625446425352E14*x**6)+(1.9040717780376E13*x**5)+(7.81445555829E11*x**4)+(1.3288708503E10*x**3)+(69959002*x**2)+(60051*x)+1)/(x-1)**22)] }
-
-
-
-def A075681():
- x = SR.var('x')
- return { 'ogf': [(((x**7-x**6-(12*x**5))+(13*x**4)+(2*x**3))/(1-x)**4)] }
-
-
-
-def A075796():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x))/((1-(18*x))+x**2))] }
-
-
-
-def A075835():
- x = SR.var('x')
- return { 'ogf': [((3*x**2)/((1-(11*x))+x**2))] }
-
-
-
-def A075836():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+(2*x)+(9*x**2)+(2*x**3)+x**4))/((1-(38*x**3))+x**6))] }
-
-
-
-def A075839():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(20*x))+x**2))] }
-
-
-
-def A075841():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1-x))/((1-(6*x))+x**2))] }
-
-
-
-def A075843():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(20*x))+x**2))] }
-
-
-
-def A075844():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(20*x))+x**2))] }
-
-
-
-def A075848():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(6*x))+x**2))] }
-
-
-
-def A075855():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-x**2)+(2*x**3)+x**4))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A075858():
- x = SR.var('x')
- return { 'ogf': [((x*(11-(20*x)))/((1-x)*((1-(20*x))+(100*x**2))))] }
-
-
-
-def A075870():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x))/((1-(6*x))+x**2))] }
-
-
-
-def A075871():
- x = SR.var('x')
- return { 'ogf': [((180*x**2)/((1-(1298*x))+x**2))] }
-
-
-
-def A075884():
- x = SR.var('x')
- return { 'ogf': [((x**7+(2*x**6)+(4*x**5)+x**4+(5*x**3)+(4*x**2)+(2*x))/(1-x**4)**2)] }
-
-
-
-def A075886():
- x = SR.var('x')
- return { 'ogf': [((x*((-(4*x**2))+x+1))/(((24*x**3)-(4*x**2)-(5*x))+1))] }
-
-
-
-def A075921():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(7*x))*(1-(14*x))))] }
-
-
-
-def A076008():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(9*x))*(1-(18*x))))] }
-
-
-
-def A076024():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A076040():
- x = SR.var('x')
- return { 'ogf': [(-(x/((x+1)*((3*x)+1))))] }
-
-
-
-def A076118():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-x)+x**2)**2)] }
-
-
-
-def A076139():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(15*x))+(15*x**2))-x**3)),
-(x/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A076140():
- x = SR.var('x')
- return { 'ogf': [(3/(((1-(15*x))+(15*x**2))-x**3))] }
-
-
-
-def A076217():
- x = SR.var('x')
- return { 'ogf': [(-((x*((27*x**28)+(54*x**27)+(27*x**26)+(9*x**10)+(18*x**9)+(9*x**8)+(3*x**4)+(6*x**3)+(5*x**2)+(4*x)+1))/((x-1)*(x+1)**2)))] }
-
-
-
-def A076248():
- x = SR.var('x')
- return { 'ogf': [(-((3*((((668508000*x**19)+(444361200*x**18)+(222142800*x**17))-(528080680*x**16)-(356464620*x**15)-(125753060*x**14)-(299532884*x**13)-(188180432*x**12)-(143040640*x**11))+(128992350*x**10)+(90219415*x**9)+(38288125*x**8)+(28112975*x**7)+(6666425*x**6)+(5752375*x**5)+(424135*x**4)+(3044705*x**3)+(2610355*x**2)+(1576104*x)+353277))/((x-1)*(x**2+x+1)*((2*x**3)-1)*((2*x**3)+1)*((4*x**3)-1))))] }
-
-
-
-def A076264():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))+x**3))] }
-
-
-
-def A076293():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**2+(3*x)+1)**2)/((x**6-(6*x**3))+1))] }
-
-
-
-def A076295():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**6)-(3*x**5)-(5*x**4)-(21*x**3))+(5*x**2)+(3*x)+4)/((x-1)*((x**6-(6*x**3))+1))))] }
-
-
-
-def A076296():
- x = SR.var('x')
- return { 'ogf': [((((-3)+(3*x)+(5*x**2)+(21*x**3))-(5*x**4)-(3*x**5)-(4*x**6))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A076307():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(2*x**4))-x**5)+(2*x**6)+x**7+x**8+(2*x**9)+(2*x**12)+(2*x**3)))/((1+x)*(1+x**2)*(1+x+x**2)*((x**2-x)+1)*((x**4-x**2)+1)*(x-1)**3)))] }
-
-
-
-def A076309():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(2*x)-(2*x**2)-(2*x**3)-(2*x**4)-(2*x**5)-(2*x**6)-(2*x**7)-(2*x**8))+(19*x**9)))/((1+x)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A076310():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-4)-(4*x)-(4*x**2)-(4*x**3)-(4*x**4)-(4*x**5)-(4*x**6)-(4*x**7)-(4*x**8))+(35*x**9)))/((1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2)))] }
-
-
-
-def A076311():
- x = SR.var('x')
- return { 'ogf': [((x*(((-5)-(5*x)-(5*x**2)-(5*x**3)-(5*x**4)-(5*x**5)-(5*x**6)-(5*x**7)-(5*x**8))+(46*x**9)))/((1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A076312():
- x = SR.var('x')
- return { 'ogf': [(-((x*((17*x**9)-2-(2*x)-(2*x**2)-(2*x**3)-(2*x**4)-(2*x**5)-(2*x**6)-(2*x**7)-(2*x**8)))/((1-x)**2*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1))))] }
-
-
-
-def A076338():
- x = SR.var('x')
- return { 'ogf': [((1+(511*x))/(1-x)**2)] }
-
-
-
-def A076389():
- x = SR.var('x')
- return { 'ogf': [(((1+(23*x)+(31*x**2)+(5*x**3))*x**2)/(1-x)**7)] }
-
-
-
-def A076454():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)+(7*x**2)))/(1-x)**5)] }
-
-
-
-def A076455():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(32*x)+(11*x**2)))/(1-x)**5)] }
-
-
-
-def A076456():
- x = SR.var('x')
- return { 'ogf': [((3*x*(3+(16*x)+(5*x**2)))/(1-x)**5)] }
-
-
-
-def A076457():
- x = SR.var('x')
- return { 'ogf': [((x*(13+(64*x)+(19*x**2)))/(1-x)**5)] }
-
-
-
-def A076458():
- x = SR.var('x')
- return { 'ogf': [((x*(17+(80*x)+(23*x**2)))/(1-x)**5)] }
-
-
-
-def A076459():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(51*x)+(63*x**2)+(5*x**3)))/(1-x)**6)] }
-
-
-
-def A076460():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(96*x)+(430*x**2)+(288*x**3)+(25*x**4)))/(1-x)**7)] }
-
-
-
-def A076461():
- x = SR.var('x')
- return { 'ogf': [((x*(13+(480*x)+(1582*x**2)+(864*x**3)+(61*x**4)))/(1-x)**7)] }
-
-
-
-def A076462():
- x = SR.var('x')
- return { 'ogf': [((x*(41+(1184*x)+(3502*x**2)+(1760*x**3)+(113*x**4)))/(1-x)**7)] }
-
-
-
-def A076463():
- x = SR.var('x')
- return { 'ogf': [((x*(85+(2208*x)+(6190*x**2)+(2976*x**3)+(181*x**4)))/(1-x)**7)] }
-
-
-
-def A076464():
- x = SR.var('x')
- return { 'ogf': [((x*(145+(3552*x)+(9646*x**2)+(4512*x**3)+(265*x**4)))/(1-x)**7)] }
-
-
-
-def A076465():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(562*x)+(7835*x**2)+(19300*x**3)+(11255*x**4)+(1354*x**5)+(13*x**6)))/(1-x)**9)] }
-
-
-
-def A076505():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(3*x)+(12*x**2)))/(1-(24*x**3)))] }
-
-
-
-def A076506():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(12*x**2)))/(1-(24*x**3)))] }
-
-
-
-def A076507():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x)*(1+(4*x)+(8*x**2)))/(1-(24*x**3)))] }
-
-
-
-def A076508():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(4*x)+(8*x**2)))/(1-(24*x**3)))] }
-
-
-
-def A076509():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1-x)*(1+(2*x)+(6*x**2)))/(1-(24*x**3)))] }
-
-
-
-def A076510():
- x = SR.var('x')
- return { 'ogf': [(-((3*(1+(2*x)+(6*x**2)))/((24*x**3)-1)))] }
-
-
-
-def A076536():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2)+(16*x**3)+(4*x**4)+(4*x**5)+(5*x**6)+(34*x**7)+x**8+(5*x**9)+(4*x**10)+(20*x**11)+(2*x**12)+(2*x**13)+x**14+(2*x**15))/(1-x**8)**2)] }
-
-
-
-def A076616():
- x = SR.var('x')
- return { 'ogf': [((2*((4*x**2)-(2*x)-1)*x**3)/((2*x)-1)**3)] }
-
-
-
-def A076684():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x)+x**2)/((1-x)*((1-(18*x))+x**2)))] }
-
-
-
-def A076708():
- x = SR.var('x')
- return { 'ogf': [(((5*x**2)-x**3)/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A076736():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*(x**3+x**2+(2*x)+1))/((2*x**2)-1))] }
-
-
-
-def A076737():
- x = SR.var('x')
- return { 'ogf': [((x*((((4*x**6)+x**4)-(5*x**3)-(8*x**2))+(2*x)+2))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)))] }
-
-
-
-def A076758():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3+(19*x**2)+(35*x)+9))/(x-1)**7))] }
-
-
-
-def A076765():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(8*x))+x**2)))] }
-
-
-
-def A076767():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(21*x**2)+(10*x**3)))/(1-x)**7)] }
-
-
-
-def A076808():
- x = SR.var('x')
- return { 'ogf': [(((((13301*x**3)-(29515*x**2))+(22567*x))-5861)/(x-1)**4)] }
-
-
-
-def A076809():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-(1588*x**3)-(156*x**2))+(14*x)+1753)/(x-1)**5))] }
-
-
-
-def A076898():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**12-x**8-x**7)+x**6+x**5+x**4)-x**2-x-1))/((x**12+x**6)-1))] }
-
-
-
-def A076899():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**14+x**13+x**12)-x**11-x**10)+(2*x**8)+(2*x**7)+x**6)-x**5-x**4-x**2-x-1))/((x-1)*(x**2+x+1)*((x**12+x**6)-1))))] }
-
-
-
-def A077043():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1+x)*(1-x)**3))] }
-
-
-
-def A077044():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(8*x)+(29*x**2)+(39*x**3)+(29*x**4)+(8*x**5)+x**6))/((1+x)**3*(x-1)**5)))] }
-
-
-
-def A077076():
- x = SR.var('x')
- return { 'ogf': [((3*(((((179+(382*x)+(96*x**2)+(60*x**3))-(328*x**4)-(444*x**5))+(1170*x**6)+(2232*x**7)+(1166*x**8)+(5644*x**9)+(15402*x**10)+(46922*x**11)+(39850*x**12))-(62920*x**13)-(132612*x**14)-(97532*x**15)-(34148*x**16))+(83800*x**17)+(109224*x**18)+(21856*x**19)))/((1-x)*(1+x)*(1-(2*x**2))*(1-(2*x**4))))] }
-
-
-
-def A077077():
- x = SR.var('x')
- return { 'ogf': [(((((775+(1674*x)+(1944*x**4)+(8910*x**5)+(4650*x**6))-(14508*x**7)-(19840*x**8)-(22644*x**9)-(1860*x**10))+(28680*x**11)+(14328*x**12))-(2112*x**13))/((1-x)*(1+x)*(1-(2*x**2))*(1-(2*x**4))))] }
-
-
-
-def A077140():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-(2*x)-1))/((x**2+1)**2*(x-1)))] }
-
-
-
-def A077234():
- x = SR.var('x')
- return { 'ogf': [((2+x)/((1-(4*x))+x**2))] }
-
-
-
-def A077235():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x))/((1-(4*x))+x**2))] }
-
-
-
-def A077236():
- x = SR.var('x')
- return { 'ogf': [((4-(5*x))/((1-(4*x))+x**2))] }
-
-
-
-def A077237():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2))/((1-(4*x**2))+x**4))] }
-
-
-
-def A077238():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(4+(9*x)+(4*x**2)))/((1-(4*x**2))+x**4))] }
-
-
-
-def A077239():
- x = SR.var('x')
- return { 'ogf': [((7-(5*x))/((1-(6*x))+x**2))] }
-
-
-
-def A077240():
- x = SR.var('x')
- return { 'ogf': [((5-(7*x))/((1-(6*x))+x**2))] }
-
-
-
-def A077241():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2))/((1-(6*x**2))+x**4))] }
-
-
-
-def A077242():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(5+(12*x)+(5*x**2)))/((1-(6*x**2))+x**4))] }
-
-
-
-def A077243():
- x = SR.var('x')
- return { 'ogf': [((2+x)/((1-(8*x))+x**2))] }
-
-
-
-def A077244():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/((1-(8*x))+x**2))] }
-
-
-
-def A077245():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(8*x))+x**2))] }
-
-
-
-def A077246():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(8*x))+x**2))] }
-
-
-
-def A077247():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2))/((1-(8*x**2))+x**4))] }
-
-
-
-def A077248():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(2+x)*(1+(2*x)))/((1-(8*x**2))+x**4))] }
-
-
-
-def A077249():
- x = SR.var('x')
- return { 'ogf': [((2+x)/((1-(10*x))+x**2))] }
-
-
-
-def A077250():
- x = SR.var('x')
- return { 'ogf': [((11-(7*x))/((1-(10*x))+x**2))] }
-
-
-
-def A077251():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(10*x))+x**2))] }
-
-
-
-def A077259():
- x = SR.var('x')
- return { 'ogf': [((-(2*x*(x+1)**2))/((x-1)*(x**2-(4*x)-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A077260():
- x = SR.var('x')
- return { 'ogf': [((-(3*x*(x**2+(6*x)+1)))/((x-1)*((x**2-(18*x))+1)*(x**2+(18*x)+1)))] }
-
-
-
-def A077261():
- x = SR.var('x')
- return { 'ogf': [((-(15*x*(x**2+(6*x)+1)))/((x-1)*((x**2-(18*x))+1)*(x**2+(18*x)+1)))] }
-
-
-
-def A077262():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+(5*x**2))-(9*x)-5))/((x-1)*(x**2-(4*x)-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A077263():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((63-(199*x))+(142*x**2))-(54*x**3))+(35*x**4))-(19*x**5)))/((1-x)**3*(1-(3*x)-x**2-x**3)))] }
-
-
-
-def A077265():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((((6*x**3)-(19*x**2))+(21*x))-7))/((x-1)**3*((2*x)-1))))] }
-
-
-
-def A077289():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(5*x)+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A077290():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*(x**2+(5*x)+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A077291():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+(3*x**2))-(5*x)-3))/((x-1)*((x**4-(10*x**2))+1)))] }
-
-
-
-def A077398():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+(2*x**2)))/((1-x)*((1-(16*x**2))+x**4)))] }
-
-
-
-def A077399():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(x**2+(4*x)+1))/((x-1)*((x**2-(16*x))+1)*(x**2+(16*x)+1))))] }
-
-
-
-def A077400():
- x = SR.var('x')
- return { 'ogf': [(-((21*x*(x**2+(4*x)+1))/((x-1)*((x**2-(16*x))+1)*(x**2+(16*x)+1))))] }
-
-
-
-def A077401():
- x = SR.var('x')
- return { 'ogf': [((x*((6+(8*x))-(6*x**2)-x**3))/((1-x)*((1-(16*x**2))+x**4)))] }
-
-
-
-def A077409():
- x = SR.var('x')
- return { 'ogf': [((7-(11*x))/((1-(10*x))+x**2))] }
-
-
-
-def A077410():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2))/((1-(10*x**2))+x**4))] }
-
-
-
-def A077411():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(7+(18*x)+(7*x**2)))/((1-(10*x**2))+x**4))] }
-
-
-
-def A077412():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(16*x))+x**2))] }
-
-
-
-def A077413():
- x = SR.var('x')
- return { 'ogf': [((2+x)/((1-(6*x))+x**2))] }
-
-
-
-def A077414():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4-x))/(1-x)**4)] }
-
-
-
-def A077415():
- x = SR.var('x')
- return { 'ogf': [((x**3*((5-(4*x))+x**2))/(1-x)**4)] }
-
-
-
-def A077416():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(12*x))+x**2))] }
-
-
-
-def A077417():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(12*x))+x**2))] }
-
-
-
-def A077420():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(34*x))+x**2))] }
-
-
-
-def A077421():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(22*x))+x**2))] }
-
-
-
-def A077422():
- x = SR.var('x')
- return { 'ogf': [((1-(11*x))/((1-(22*x))+x**2))] }
-
-
-
-def A077423():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(24*x))+x**2))] }
-
-
-
-def A077424():
- x = SR.var('x')
- return { 'ogf': [((1-(12*x))/((1-(24*x))+x**2))] }
-
-
-
-def A077442():
- x = SR.var('x')
- return { 'ogf': [((x+1)**3/((x**2+(2*x))-1)/(x**2-(2*x)-1))] }
-
-
-
-def A077444():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x))/((1-(6*x))+x**2))] }
-
-
-
-def A077445():
- x = SR.var('x')
- return { 'ogf': [((4*(x-x**2))/((1-(6*x))+x**2))] }
-
-
-
-def A077446():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+(4*x)+1))/(((x**2+(2*x))-1)*(x**2-(2*x)-1)))] }
-
-
-
-def A077447():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(x-1)*(x**2+(3*x)+1))/(((x**2+(2*x))-1)*(x**2-(2*x)-1))))] }
-
-
-
-def A077450():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**5)-x**4-x**3-(2*x**2)-(2*x)-3))/((x-1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A077538():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(21*x**2)+(10*x**3))/(1-x)**6)] }
-
-
-
-def A077591():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(15*x**2)+x**3)/(1-x)**3)] }
-
-
-
-def A077834():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))*(1+x+x**2)))] }
-
-
-
-def A077845():
- x = SR.var('x')
- return { 'ogf': [((1-x)**(-1)/(1-(2*x)-(2*x**2)-x**3))] }
-
-
-
-def A077859():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*((1-x)+x**2)))] }
-
-
-
-def A077908():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x**3))+x**4))] }
-
-
-
-def A077909():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x**3)-(2*x**4)))] }
-
-
-
-def A077916():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1+(3*x)+x**2)))] }
-
-
-
-def A077921():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1+(2*x))-x**2)))] }
-
-
-
-def A077925():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)-(2*x**2)))] }
-
-
-
-def A077957():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x**2)))] }
-
-
-
-def A077990():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**2-x**3))] }
-
-
-
-def A078009():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-sqrt((((16*x**2)-(12*x))+1)))/(10*x))] }
-
-
-
-def A078012():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-x-x**3))] }
-
-
-
-def A078018():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x))-sqrt((((25*x**2)-(14*x))+1)))/(12*x))] }
-
-
-
-def A078029():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x**3)))] }
-
-
-
-def A078031():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+x**2)-x**3))] }
-
-
-
-def A078100():
- x = SR.var('x')
- return { 'ogf': [(((9*x**2)-(4*x)-(4*x**3))/((((6*x**3)-(15*x**2))+(9*x))-1))] }
-
-
-
-def A078126():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x+(2*x**2))-x**3)/((1-x**2)*(1-x)**2))] }
-
-
-
-def A078309():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(3*(x**2+x**3+x**4)))/(((-1)+x+x**3)-x**4))] }
-
-
-
-def A078344():
- x = SR.var('x')
- return { 'ogf': [((x*(((3*x**3)+(2*x**2))-1))/((x**3+x**2+(2*x))-1))] }
-
-
-
-def A078362():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(13*x))+x**2))] }
-
-
-
-def A078363():
- x = SR.var('x')
- return { 'ogf': [((2-(13*x))/((1-(13*x))+x**2))] }
-
-
-
-def A078364():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(15*x))+x**2))] }
-
-
-
-def A078365():
- x = SR.var('x')
- return { 'ogf': [((2-(15*x))/((1-(15*x))+x**2))] }
-
-
-
-def A078366():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(17*x))+x**2))] }
-
-
-
-def A078367():
- x = SR.var('x')
- return { 'ogf': [((2-(17*x))/((1-(17*x))+x**2))] }
-
-
-
-def A078368():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(19*x))+x**2))] }
-
-
-
-def A078369():
- x = SR.var('x')
- return { 'ogf': [((2-(19*x))/((1-(19*x))+x**2))] }
-
-
-
-def A078370():
- x = SR.var('x')
- return { 'ogf': [(((5-(2*x))+(5*x**2))/(1-x)**3)] }
-
-
-
-def A078371():
- x = SR.var('x')
- return { 'ogf': [(((5+(6*x))-(3*x**2))/(1-x)**3)] }
-
-
-
-def A078404():
- x = SR.var('x')
- return { 'ogf': [(((((((((x**16-x**15)+x**13+x**10)-x**9)+(2*x**8))-x**7)+x**6+x**3)-x)+1)/((x-1)**4*(x+1)**2*((x**2-x)+1)*(x**2+1)**2*(x**2+x+1)*((x**4-x**2)+1)))] }
-
-
-
-def A078411():
- x = SR.var('x')
- return { 'ogf': [((x**8+x**6+x**5+(2*x**4)+x**3+x**2+1)/((x-1)**4*(x+1)**2*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A078427():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((100*x**2)-(65*x))+46))/((x-1)*((10*x)-1)**2)))] }
-
-
-
-def A078467():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/(1-x-x**4))] }
-
-
-
-def A078476():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x**2)+x**3)-(3*x**4)))/((1-x)**3*(1+x)))] }
-
-
-
-def A078481():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-((1-(2*x)-(5*x**2)-(2*x**3))+x**4)**(1/2))/((2*x)+(2*x**2)))] }
-
-
-
-def A078482():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+x**2)-((((1-(6*x))+(7*x**2))-(2*x**3))+x**4)**(1/2))/(2*x))] }
-
-
-
-def A078483():
- x = SR.var('x')
- return { 'ogf': [(-((2*x)/((1-(5*x)-(1-(4*x))**(1/2))+(x*(1-(4*x))**(1/2))+(2*x**2))))] }
-
-
-
-def A078484():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(2*x))+(2*x**2)))/((((2*x**3)-(4*x**2))+(4*x))-1)))] }
-
-
-
-def A078485():
- x = SR.var('x')
- return { 'ogf': [(((x-(2*x**3))+(x/(1-(2*x))))-(x/(1-x)))] }
-
-
-
-def A078486():
- x = SR.var('x')
- return { 'ogf': [((((((x-(7*x**2))+(19*x**3))-(21*x**4))+(10*x**5))-(6*x**6))/((((((1-(9*x))+(31*x**2))-(53*x**3))+(44*x**4))-(16*x**5))+(6*x**6)))] }
-
-
-
-def A078487():
- x = SR.var('x')
- return { 'ogf': [((((((1-(9*x))+(29*x**2))-(30*x**3))+(10*x**4))-x**5-(((1-(6*x))+x**2)**(1/2)*((((1-(6*x))+(13*x**2))-(7*x**3))+x**4)))/(2*x))] }
-
-
-
-def A078501():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x**2))+(4*x**3)))/(((2*x)-1)**2*(1-x)**3))] }
-
-
-
-def A078513():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+(2*x**2)+(4*x**3))-(2*x**4))+(2*x**5)))/(1-(9*x**4)-(2*x**8)))] }
-
-
-
-def A078522():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**2)/((x-1)*((x**2-(34*x))+1))))] }
-
-
-
-def A078529():
- x = SR.var('x')
- return { 'ogf': [(((((3-(5*x))+x**2+x**3+x**7+x**11)-(2*x**12))+(3*x**13))/((1-x)**2*(1-x**12)))] }
-
-
-
-def A078617():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x**3+x**4+x**2))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**3)))] }
-
-
-
-def A078618():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**4+(3*x**2)))/((1+x)*(x**2+1)*(x-1)**4))] }
-
-
-
-def A078621():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**6)-(6*x**4)-(6*x**3))+(2*x**2)+(4*x)+1)/(((-(2*x**3))+(2*x**2)+x)-1)))] }
-
-
-
-def A078642():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+x))/(1-x-x**2))] }
-
-
-
-def A078678():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1+x+x**2)/((1-(3*x))+x**2)))] }
-
-
-
-def A078679():
- x = SR.var('x')
- return { 'ogf': [sqrt((((1-x)+x**2)/((1-(3*x))+x**3+x**4)))] }
-
-
-
-def A078688():
- x = SR.var('x')
- return { 'ogf': [((((6*x**4)+(2*x))/(1-x**3)**2)+(1/(1-x)))] }
-
-
-
-def A078689():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*(x**3-(3*x**2)-(3*x)-1))/((x-1)**2*(x**2+x+1)**2)))] }
-
-
-
-def A078690():
- x = SR.var('x')
- return { 'ogf': [(-((((x**9-(3*x**8)-(30*x**7)-(13*x**6))+x**5)-x**4-(12*x**3)-(30*x**2)-(2*x)-1)/((x-1)**2*(x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A078712():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+3)/(x**3-x-1))] }
-
-
-
-def A078757():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**7+x**6)-(24*x**5))+(11*x**4)+(38*x**3))-(9*x**2)-(16*x)-1))/(((((x**8+x**7)-(25*x**6))+(11*x**5)+(47*x**4))-(11*x**3)-(25*x**2)-x)+1)))] }
-
-
-
-def A078761():
- x = SR.var('x')
- return { 'ogf': [((45*x*(1-x))/(1-(10*x))**2)] }
-
-
-
-def A078789():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(2*x**2))/(((1-(7*x))+(13*x**2))-(4*x**3)))] }
-
-
-
-def A078876():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*(x**4+(17*x**3)+(48*x**2)+(17*x)+1))/(x-1)**9))] }
-
-
-
-def A078906():
- x = SR.var('x')
- return { 'ogf': [((((1+(228*x)+(494*x**2))-(228*x**3))+x**4)**3/(x*(1-(11*x)-x**2)**5))] }
-
-
-
-def A078907():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)**3/(x-x**2)**2)] }
-
-
-
-def A078922():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(11*x))+x**2))] }
-
-
-
-def A078986():
- x = SR.var('x')
- return { 'ogf': [((1-(19*x))/((1-(38*x))+x**2))] }
-
-
-
-def A078987():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(38*x))+x**2))] }
-
-
-
-def A078988():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(66*x))+x**2))] }
-
-
-
-def A078989():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(66*x))+x**2))] }
-
-
-
-def A079003():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(6*x)-x**2))/((1-x)*(1-(3*x))))] }
-
-
-
-def A079004():
- x = SR.var('x')
- return { 'ogf': [(((8*x**2)+((23/3)*x)+(14/9)+(2/(x-1)))-(4/(9*((3*x)-1))))] }
-
-
-
-def A079027():
- x = SR.var('x')
- return { 'ogf': [(-((x*((25*x)-6))/((5*x)-1)**2))] }
-
-
-
-def A079028():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(4*x))**2)] }
-
-
-
-def A079034():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**4-(4*x**3))+(7*x**2))-(3*x))+1))/(x-1)**5))] }
-
-
-
-def A079053():
- x = SR.var('x')
- return { 'ogf': [((x*(((((26*x**10)+(68*x**8)+(6*x**7))-(4*x**6))+(16*x**5))-(12*x**4)-(5*x**2)-x-1))/(((x**2+x)-1)*(x**4+(3*x**2)+1)))] }
-
-
-
-def A079097():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)*(x**2-x-1))/((x-1)**3*(1+x)**3))] }
-
-
-
-def A079105():
- x = SR.var('x')
- return { 'ogf': [((x*(((432*x**16)+(864*x**15)+(432*x**14)+(2710*x**13)+(4124*x**12)+(82*x**11))-(5128*x**10)-(7856*x**9)-(1458*x**8)-(1678*x**7)-(860*x**6)-(300*x**5)-(84*x**4)-(21*x**3)-(6*x**2)-(2*x)-1))/((x-1)*(x**2+x+1)))] }
-
-
-
-def A079162():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**2))/((1-(5*x**2))+(2*x**4)))] }
-
-
-
-def A079262():
- x = SR.var('x')
- return { 'ogf': [(x**7/(1-x-x**2-x**3-x**4-x**5-x**6-x**7-x**8))] }
-
-
-
-def A079272():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-(3*x)))/((1-x)*(1-(3*x))**2))] }
-
-
-
-def A079273():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**2)+(7*x)+1)*x)/(x-1)**3))] }
-
-
-
-def A079280():
- x = SR.var('x')
- return { 'ogf': [(((1-x)/(2-(4*x)))+((1+(3*x))/(2*sqrt((1-(4*x**2))))))] }
-
-
-
-def A079282():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-(2*x))**2*(1-x-x**2)))] }
-
-
-
-def A079284():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-x-x**2)*(1-(2*x**2))))] }
-
-
-
-def A079285():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-2)+x+(2*x**2)))/(((x**2+x)-1)*((2*x**2)-1))))] }
-
-
-
-def A079289():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)**2/((1-x-x**2)*(1-(2*x**2))))] }
-
-
-
-def A079291():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(1+x)/((1-(6*x))+x**2))] }
-
-
-
-def A079309():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt((1-(4*x))))-1)/(1-x)/2)] }
-
-
-
-def A079319():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(2*x**2))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A079326():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x+(3*x**2))-x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A079343():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x**2)+x**3))/((x-1)*((1-x)+x**2)*(1+x+x**2))))] }
-
-
-
-def A079344():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+x**2+x**3+(3*x**4)+(6*x**6))-(5*x**5))+x**7))/((x-1)*((x**2-x)+1)*(1+x+x**2)*((x**4-x**2)+1))))] }
-
-
-
-def A079354():
- x = SR.var('x')
- return { 'ogf': [((x*((((((2*x**10)+(3*x**9))-x**8-x**7-x**6-x**5)+(3*x**4))-x**3)+(3*x**2)+(3*x)+1))/((x**11-x**10-x)+1))] }
-
-
-
-def A079356():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((1+(2*x)+x**2)-(3*x**3))+x**4)-(4*x**6))+(7*x**7))-(4*x**8))+(2*x**5)+(2*x**9)))/((x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A079360():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A079362():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-(2*x**2)))/((1-x)*(1-(3*x**2))))] }
-
-
-
-def A079460():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((2*x**7)-(3*x**6))+x**5+(2*x**4))-(3*x**3))+x**2+2))/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A079472():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((x+1)*((x**2-(3*x))+1)))] }
-
-
-
-def A079496():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(3*x**2)-x**3)/((1-(6*x**2))+x**4))] }
-
-
-
-def A079503():
- x = SR.var('x')
- return { 'ogf': [((2*((((5*x**5)+(38*x**4)+(18*x**3))-(2*x**2))+x))/(x-1)**6)] }
-
-
-
-def A079514():
- x = SR.var('x')
- return { 'ogf': [((2*(1-sqrt((1-(4*x)))))/(2+sqrt((1-(4*x)))+sqrt((1+(4*x)))))] }
-
-
-
-def A079524():
- x = SR.var('x')
- return { 'ogf': [(((x+(2*x**2))-(2*x**3))/((1-x)**2*(1-x**2)))] }
-
-
-
-def A079547():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*(1+(4*x)+x**2))/(1-x)**6)] }
-
-
-
-def A079583():
- x = SR.var('x')
- return { 'ogf': [(((x**2-x)+1)/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A079588():
- x = SR.var('x')
- return { 'ogf': [((1+(26*x)+(21*x**2))/(1-x)**4)] }
-
-
-
-def A079598():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(((16*x)-1)*((4*x)-1)))] }
-
-
-
-def A079610():
- x = SR.var('x')
- return { 'ogf': [((15*(1+(28*x)+(21*x**2)))/(1-x)**4)] }
-
-
-
-def A079675():
- x = SR.var('x')
- return { 'ogf': [((1-x)**5/((1-x)**5-x))] }
-
-
-
-def A079734():
- x = SR.var('x')
- return { 'ogf': [(((((3*x**13)+(2*x**12)+(3*x**11)+(3*x**10))-(4*x**9)-(2*x**8)-(2*x**7)-(3*x**6)-(2*x**5)-x**4-x**3)+(3*x)+2)/((x-1)*(x+1)*((x**4+x**2)-1)))] }
-
-
-
-def A079757():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1+(2*x)+(2*x**2)+x**3))] }
-
-
-
-def A079773():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(3*x))*(1-(5*x))))] }
-
-
-
-def A079816():
- x = SR.var('x')
- return { 'ogf': [(-(1/((x**6+x**5+x**4+x**3+x)-1)))] }
-
-
-
-def A079824():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+(2*x**3)+x**4))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A079825():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)+(7*x**3)+(6*x**4)+(6*x**6)+x**7+(2*x**5)+x**8))/((x**2+1)**2*(1+x)**3*(x-1)**4))] }
-
-
-
-def A079861():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**8*((9*x)-5))/((2*x)-1)**2))] }
-
-
-
-def A079903():
- x = SR.var('x')
- return { 'ogf': [(-(((x*((x*(x+3)*(x+20))+23))+1)/(x-1)**5))] }
-
-
-
-def A079908():
- x = SR.var('x')
- return { 'ogf': [(1+((2*x*((2-x)+(2*x**2)))/((-1)+x)**4))] }
-
-
-
-def A079909():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+1)*(x**4+(10*x**2)+1))/(x-1)**5))] }
-
-
-
-def A079910():
- x = SR.var('x')
- return { 'ogf': [(((6*x**7)+(11*x**6)+(20*x**5)+(51*x**4)+(6*x**3)+(25*x**2)+1)/(x-1)**6)] }
-
-
-
-def A079911():
- x = SR.var('x')
- return { 'ogf': [(-((((((6*x**10)-(29*x**9))+(120*x**8))-(49*x**7))+(267*x**6)+(105*x**5)+(211*x**4)+(37*x**3)+(51*x**2)+1)/(x-1)**7))] }
-
-
-
-def A079912():
- x = SR.var('x')
- return { 'ogf': [(-(((((((46*x**12)-(340*x**11))+(931*x**10))-(1808*x**9))+(727*x**8))-(1400*x**7)-(1506*x**6)-(656*x**5)-(788*x**4)-(148*x**3)-(97*x**2)-1)/(x-1)**8))] }
-
-
-
-def A079913():
- x = SR.var('x')
- return { 'ogf': [(-((((((((484*x**14)-(3902*x**13))+(13791*x**12))-(25930*x**11))+(32928*x**10))-(15756*x**9))+(14443*x**8)+(8652*x**7)+(8524*x**6)+(3690*x**5)+(2741*x**4)+(478*x**3)+(176*x**2)+1)/(x-1)**9))] }
-
-
-
-def A079914():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((5840*x**16)-(52960*x**15))+(210480*x**14))-(481464*x**13))+(671100*x**12))-(619882*x**11))+(258311*x**10))-(123144*x**9)-(98197*x**8)-(57276*x**7)-(46818*x**6)-(18160*x**5)-(9046*x**4)-(1354*x**3)-(309*x**2)-1)/(x-1)**10))] }
-
-
-
-def A079921():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A079922():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**7-(4*x**4))+(2*x**3)+(3*x))-4))/((x-1)**2*((x**3+x**2+x)-1)**2)))] }
-
-
-
-def A079934():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**9)-(13*x**6)-x**5-x**4)+(4*x**3)+(5*x**2)+(3*x)+1))/((x**6-(6*x**3))+1))] }
-
-
-
-def A079935():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(4*x))+x**2))] }
-
-
-
-def A079936():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((2*x**10)+(3*x**9)+(8*x**8)+(21*x**7)+(55*x**6)+(72*x**5)+(38*x**4)+(21*x**3)+(8*x**2)+(3*x)+1))/((x**12-(322*x**6))+1)))] }
-
-
-
-def A079961():
- x = SR.var('x')
- return { 'ogf': [(-(1/((x**6+x**4+x**3+x)-1)))] }
-
-
-
-def A079962():
- x = SR.var('x')
- return { 'ogf': [(-(1/((1+x+x**2)*((x**2-x)+1)*((x**2+x)-1))))] }
-
-
-
-def A079967():
- x = SR.var('x')
- return { 'ogf': [(-(1/((x**6+x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A079971():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2-x**5))] }
-
-
-
-def A079972():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**4-x**5))] }
-
-
-
-def A079973():
- x = SR.var('x')
- return { 'ogf': [(-(1/((x**5+x**3+x**2)-1)))] }
-
-
-
-def A079975():
- x = SR.var('x')
- return { 'ogf': [(-(1/((x**5+x**3+x**2+x)-1)))] }
-
-
-
-def A079976():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2-x**4-x**5))] }
-
-
-
-def A079977():
- x = SR.var('x')
- return { 'ogf': [(-(1/((x**4+x**2)-1)))] }
-
-
-
-def A079978():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**3))] }
-
-
-
-def A079979():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**6))] }
-
-
-
-def A079980():
- x = SR.var('x')
- return { 'ogf': [(-(((x**6-(2*x**3))+1)/((((x**9+x**7)-(2*x**6))+(2*x**5)+(2*x**4)+(4*x**3)+x**2)-1)))] }
-
-
-
-def A079981():
- x = SR.var('x')
- return { 'ogf': [(-(((x**12-(2*x**6))+1)/((((x**18+x**14)-(2*x**12))+(2*x**10)+(2*x**8)+(4*x**6)+x**4)-1)))] }
-
-
-
-def A079982():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**14-x**12)+x**9)-(2*x**8))+(2*x**6)+x**5+x**2)-1)/((((((((x**20-x**18)+(2*x**15))-(3*x**14)-x**13)+(3*x**12)+x**11+x**10)-x**9)+(3*x**8)+x**7)-(3*x**6)-(2*x**5)-x**2)+1)))] }
-
-
-
-def A079983():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-1)*(((x**12+(2*x**9))-x**6-(2*x**3))+1))/(((((((((((x**20+x**19)-x**18)+x**17+(2*x**16))-x**15-(4*x**14)-(4*x**13))+(5*x**12))-(3*x**11)-(3*x**10))+(3*x**9)+(3*x**8)+(4*x**7))-(4*x**6))+x**5)-x**3-x**2-x)+1)))] }
-
-
-
-def A079984():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**12)+(2*x**11))-x**9-x**8)+x**6)-x**5)+(2*x**3)+x**2)-1)/(((((((((((((((x**19-x**17)+(2*x**16))-x**15)+(2*x**14))-(5*x**13))+x**12+(3*x**11))-(5*x**10))+x**9+x**8+(3*x**7)+x**6)-(4*x**5))+(3*x**4))-(2*x**3))+x**2)-(2*x))+1)*(x+1))))] }
-
-
-
-def A079985():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**8+x**7)-x**6-x**5-(2*x**4))+x**3)-x**2-x)+1)/((((((((x**14+x**13)-x**12-x**11-(3*x**10))+(2*x**9))-(2*x**8)-(6*x**7))+(2*x**6)+(2*x**5)+(3*x**4))-x**3)+x**2+x)-1)))] }
-
-
-
-def A079986():
- x = SR.var('x')
- return { 'ogf': [(-(((x**6+x**4+x**2)-1)/(((x**12+x**8)-(6*x**6)-(3*x**4)-(2*x**2))+1)))] }
-
-
-
-def A079987():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**12-(2*x**11))+(2*x**10))-(2*x**9))+(2*x**8))-x**7-x**6)+(3*x**5))-(2*x**4))+(2*x**3))-(2*x**2))+(2*x))-1)/((((((((((((((((x**18-(2*x**17))+(2*x**16))-x**15)+(2*x**14))-(3*x**12))+(6*x**11))-(4*x**10))+(5*x**9))-(4*x**8))+(2*x**7)+x**6)-(4*x**5))+(2*x**4))-(3*x**3))+(2*x**2))-(2*x))+1)))] }
-
-
-
-def A079988():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**14-x**12-x**11)+x**9)-(2*x**8))+(2*x**6)+x**5+x**3+x**2)-1)/((((((((x**20-x**18-x**17)+x**16)-(4*x**14)-x**13)+(3*x**12)+(4*x**11))-x**10)+(2*x**9)+(3*x**8)+x**7)-(4*x**6)-(4*x**5)-x**4-x**3-x**2)+1)))] }
-
-
-
-def A079989():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**12)+x**11)-x**9-x**8)+x**6)-x**5)+(3*x**3)+x**2)-1)/(((((((((x**20+x**19)-x**18)+(3*x**16))-x**15-(4*x**14)-x**13)+x**12+(2*x**11))-(6*x**10))+(6*x**9)+(7*x**8)+(7*x**7))-(4*x**6)-(3*x**5)-x**4-(2*x**3)-x**2-x)+1)))] }
-
-
-
-def A079990():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**12)+(2*x**11))-x**9)+(2*x**6))-x**5)+(2*x**3)+x**2)-1)/(((((((((x**20+x**19)-x**18)+(2*x**17)+(3*x**16))-(3*x**14)-(2*x**13))+(7*x**12))-(3*x**11)-(7*x**10)-x**9)+x**8+(4*x**7))-(7*x**6)-(4*x**5)-x**4-(2*x**3)-x**2-x)+1)))] }
-
-
-
-def A079991():
- x = SR.var('x')
- return { 'ogf': [(-((((x**8+x**7)-x**6-(2*x**4)-x**2-x)+1)/((((x**14+(2*x**13))-(3*x**10)-x**8-(8*x**7))+x**6+(3*x**4)+(2*x))-1)))] }
-
-
-
-def A079992():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-1)*((x**6+x**4+x**3+x**2)-1))/((((((((x**14+x**13)-x**12)+x**11+x**10+x**9)-(9*x**8)-(5*x**7))+(3*x**6)+x**5+x**4)-x**3)+(3*x**2)+x)-1)))] }
-
-
-
-def A079993():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+1)*(((x**11-x**9-(2*x**8)-x**7)+(2*x**6)+x**4+(2*x**3)+x**2)-1))/(((((((((((x**18-x**17-(2*x**16))+(3*x**15)+x**14)-(4*x**13)-(4*x**12))+(7*x**11)+(7*x**10))-(6*x**9))+(3*x**8)+(7*x**7))-(4*x**6)-(4*x**5)-(3*x**4))+x**3)-(2*x**2)-x)+1)*(x**2+x+1))))] }
-
-
-
-def A079994():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**14-(2*x**12)-x**11-x**10)+(2*x**9))-(3*x**8))+(5*x**6)+(2*x**5)+x**4+x**3+(2*x**2))-1)/((((((x**20-(2*x**18))+x**15)-(4*x**14)-x**13)+(11*x**12)+(12*x**11)+x**10+(9*x**8)+(3*x**7))-(10*x**6)-(9*x**5)-(4*x**4)-(2*x**3)-(2*x**2))+1)))] }
-
-
-
-def A079995():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**12)+x**11)-x**10-x**9-x**8)+(3*x**6))-x**5)+x**4+(3*x**3)+x**2)-1)/(((((((((x**20+x**19)-(2*x**18))+x**17+(4*x**16))-(4*x**15)-(9*x**14)-(3*x**13))+(11*x**12)+x**11)-(5*x**10))+(7*x**9)+(11*x**8)+(9*x**7))-(13*x**6)-(6*x**5)-(4*x**4)-(3*x**3)-(2*x**2)-x)+1)))] }
-
-
-
-def A079996():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**14-(2*x**12))+x**11)-x**10-(2*x**8)-(2*x**7))+(4*x**6)+x**4+(3*x**3)+(2*x**2))-1)/(((((((((x**20+x**19)-(2*x**18))+x**17+(2*x**16))-(3*x**15)-(5*x**14)-(5*x**13))+(6*x**12)+(6*x**11))-(7*x**10))+(12*x**8)+(15*x**7))-(9*x**6)-(9*x**5)-(4*x**4)-(3*x**3)-(2*x**2)-x)+1)))] }
-
-
-
-def A079997():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**8+x**7)-x**5-(2*x**4))+x**3)-(2*x**2)-x)+1)/((((x**14+x**13)-x**12-(2*x**9)-(10*x**8)-(12*x**7))+(10*x**5)+(6*x**4)+(3*x**2)+x)-1)))] }
-
-
-
-def A079998():
- x = SR.var('x')
- return { 'ogf': [(-(1/(x**5-1)))] }
-
-
-
-def A080002():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**2)-1)/(((x**10+x**7+x**6)-(2*x**5)-x**4-x**2)+1)))] }
-
-
-
-def A080003():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**3)-1)/(((x**10+x**8)-x**7-(2*x**5)-(2*x**4)-x**3-x)+1)))] }
-
-
-
-def A080004():
- x = SR.var('x')
- return { 'ogf': [(-((x**5-1)/(((((x**10+x**9)-x**7)+x**6)-(4*x**5)-x**4-x**3-x)+1)))] }
-
-
-
-def A080005():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**2)-1)/((((x**10-x**8)+(2*x**6))-x**5-x**4-x**2-x)+1)))] }
-
-
-
-def A080006():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**3)-1)/(((x**10+x**9+x**8)-x**6-(3*x**5)-(2*x**4)-(2*x**3)-x**2)+1)))] }
-
-
-
-def A080007():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**3+x**2)-1)/(((x**10+x**8+(2*x**7))-(4*x**5)-(2*x**4)-(2*x**3)-x**2)+1)))] }
-
-
-
-def A080008():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**2)-1)/((((x**9+x**6)-x**5-x**4-x**3-x)+1)*(x+1))))] }
-
-
-
-def A080009():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**3)-1)/(((x**10+x**9+x**8)-x**7-(5*x**5)-(3*x**4)-(2*x**3)-x**2-x)+1)))] }
-
-
-
-def A080010():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**3+x**2)-1)/(((x**10+x**7+(2*x**6))-(3*x**5)-(3*x**4)-(2*x**3)-x**2-x)+1)))] }
-
-
-
-def A080011():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**2)-1)/(((((x**10+x**9)-x**8)+x**6)-(3*x**5)-(2*x**4)-x**3-x**2-x)+1)))] }
-
-
-
-def A080012():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**3+x**2)-1)/(((x**10+x**9+x**8+(2*x**7))-x**6-(5*x**5)-(4*x**4)-(3*x**3)-(2*x**2))+1)))] }
-
-
-
-def A080013():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-1)/((x**6-x**4-x**3-x**2)+1)))] }
-
-
-
-def A080014():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-1)/(((x**6+x**5)-x**4-x**3-x**2-x)+1)))] }
-
-
-
-def A080040():
- x = SR.var('x')
- return { 'ogf': [((2-(2*x))/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A080042():
- x = SR.var('x')
- return { 'ogf': [((2-(4*x))/(1-(4*x)-(3*x**2)))] }
-
-
-
-def A080143():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(2*x)))/((1-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A080144():
- x = SR.var('x')
- return { 'ogf': [((x*(8-(3*x)))/((1-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A080145():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(2*x)-(2*x**2))+x**3)*(1-x)**2))] }
-
-
-
-def A080151():
- x = SR.var('x')
- return { 'ogf': [((x*((17*x**8)+(15*x**7)+(13*x**6)+(11*x**5)+(9*x**4)+(7*x**3)+(5*x**2)+(3*x)+1))/((x-1)**2*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A080204():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x**2))-(2*x**3)))/((1-x)*(1-(2*x)-x**3)))] }
-
-
-
-def A080206():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**8)-(2*x**7)-(4*x**5)-(3*x**4)-(4*x**3)-(3*x**2))+x+1))/((x**6-x**4-(4*x**2))+1))] }
-
-
-
-def A080239():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x**4)*(1-x-x**2)))] }
-
-
-
-def A080243():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+sqrt((1+(6*x)+x**2)))/x/4)] }
-
-
-
-def A080244():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-x)+(2*x**2)+sqrt((1+(6*x)+x**2))))/(2*x*((1+x+x**2)-x**3)))] }
-
-
-
-def A080250():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(4*x))*(1-(10*x))*(1-(20*x))))] }
-
-
-
-def A080260():
- x = SR.var('x')
- return { 'ogf': [(((((1-(2*x))+x**2)-(3*x**3))+x**4)/(1-x)**5)] }
-
-
-
-def A080322():
- x = SR.var('x')
- return { 'ogf': [(-(((((3-(8*x**2))+(6*x**3))-(3*x**4))+x**5)/((1-x)+x**2)**3))] }
-
-
-
-def A080335():
- x = SR.var('x')
- return { 'ogf': [((((1+(3*x))-x**2)+x**3)/((1-x)**3*(1+x)))] }
-
-
-
-def A080341():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2+x**3))/(1-x)**3/(1+x+x**2))] }
-
-
-
-def A080420():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(3*x))**3)] }
-
-
-
-def A080421():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(3*x))**4)] }
-
-
-
-def A080422():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(3*x))**5)] }
-
-
-
-def A080423():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(3*x))**6)] }
-
-
-
-def A080424():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(3*x))*(1-(6*x))))] }
-
-
-
-def A080425():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2))/(1-x**3))] }
-
-
-
-def A080455():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4-(4*x**3)-(4*x**2)-(4*x)-1))/((x-1)**2*(x+1)*(x**2+1))))] }
-
-
-
-def A080476():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4-(2*x**3)-1))/((x-1)**3*(x+1)))] }
-
-
-
-def A080512():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+x**2)/(1-x**2)**2)] }
-
-
-
-def A080522():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((2*x**4)-(5*x**3))+x**2+(2*x))-1))/((x-1)**3*((2*x)-1))))] }
-
-
-
-def A080609():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(8*x))+(8*x**2))))] }
-
-
-
-def A080610():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/((1-x**2)*(1-(4*x**2))))] }
-
-
-
-def A080643():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-(2*x)))/((1-(3*x))*(1-(4*x))))] }
-
-
-
-def A080663():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(5*x))-x**2))/(1-x)**3)] }
-
-
-
-def A080782():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-x**2)+x**3))/((1-x-x**3)+x**4))] }
-
-
-
-def A080806():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(4*x)+x**2))/((1-(10*x**2))+x**4))] }
-
-
-
-def A080827():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-x**2)+x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A080838():
- x = SR.var('x')
- return { 'ogf': [((x**5+(2*x**4))/(1-x)**4/(1+x)**2)] }
-
-
-
-def A080855():
- x = SR.var('x')
- return { 'ogf': [((1+x+(7*x**2))/(1-x)**3)] }
-
-
-
-def A080856():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(13*x**2))/(1-x)**3)] }
-
-
-
-def A080857():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(21*x**2))/(1-x)**3)] }
-
-
-
-def A080871():
- x = SR.var('x')
- return { 'ogf': [((((-x**3)-(4*x**2))+x+1)/((x**4-(8*x**2))+1))] }
-
-
-
-def A080872():
- x = SR.var('x')
- return { 'ogf': [((((-x**3)-(5*x**2))+x+1)/((x**4-(10*x**2))+1))] }
-
-
-
-def A080873():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**3))-(8*x**2))+x+1)/((x**4-(10*x**2))+1))] }
-
-
-
-def A080874():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(7*x**2)-(2*x**3))/((1-(10*x**2))+x**4))] }
-
-
-
-def A080875():
- x = SR.var('x')
- return { 'ogf': [((((-x**3)-(6*x**2))+x+1)/((x**4-(12*x**2))+1))] }
-
-
-
-def A080876():
- x = SR.var('x')
- return { 'ogf': [((((-(6*x**3))-(7*x**2))+x+1)/(((4*x**4)-(8*x**2))+1))] }
-
-
-
-def A080877():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**3))-(4*x**2))+x+1)/(((4*x**4)-(6*x**2))+1))] }
-
-
-
-def A080878():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(3*x**2)-(2*x**3))/((1-(6*x**2))+(4*x**4)))] }
-
-
-
-def A080879():
- x = SR.var('x')
- return { 'ogf': [((((-x**3)-(2*x**2))+x+1)/(((4*x**4)-(8*x**2))+1))] }
-
-
-
-def A080880():
- x = SR.var('x')
- return { 'ogf': [((((-(5*x**3))-(3*x**2))+(2*x)+1)/(((4*x**4)-(5*x**2))+1))] }
-
-
-
-def A080881():
- x = SR.var('x')
- return { 'ogf': [((((-x**3)-x**2)+(2*x)+1)/(((4*x**4)-(11*x**2))+1))] }
-
-
-
-def A080882():
- x = SR.var('x')
- return { 'ogf': [((((-(2*x**3))-x**2)+(3*x)+1)/(((4*x**4)-(8*x**2))+1))] }
-
-
-
-def A080891():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/(1+x+x**2+x**3+x**4)),
-((x*(1-x)*(1-x**2))/(1-x**5))] }
-
-
-
-def A080920():
- x = SR.var('x')
- return { 'ogf': [(1/((1+(5*x))*(1-(7*x))))] }
-
-
-
-def A080921():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(6*x))*(1-(8*x))))] }
-
-
-
-def A080923():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(1-(3*x)))] }
-
-
-
-def A080924():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/((1+x)*(1+(2*x))*(1-(2*x))))] }
-
-
-
-def A080925():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1+x)*(1-(3*x))))] }
-
-
-
-def A080926():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1+x)*(1-x)*(1-(3*x))))] }
-
-
-
-def A080929():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((1-(2*x))+(4*x**2)))/(1-(2*x))**3)] }
-
-
-
-def A080930():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((1-(2*x))+(2*x**2)))/(1-(2*x))**4)] }
-
-
-
-def A080937():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(3*x**2))/(((1-(5*x))+(6*x**2))-x**3)),
-(1/(1-(x/(1-(x/(1-(x/(1-(x/(1-x))))))))))] }
-
-
-
-def A080938():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(((2*x**2)-(4*x))+1))/((x-1)*(((x**3-(9*x**2))+(6*x))-1)))),
-(1/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-x))))))))))))))] }
-
-
-
-def A080951():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((((1-(4*x))+(16*x**2))-(24*x**3))+(16*x**4)))/(1-(2*x))**5)] }
-
-
-
-def A080952():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((4*x**2)-(2*x))+1)*(((4*x**2)-(6*x))+3))/(1-(2*x))**6)] }
-
-
-
-def A080956():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-x)**3)] }
-
-
-
-def A080960():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A080961():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(3*x))*(1-(5*x))))] }
-
-
-
-def A080962():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(4*x))*(1-(6*x))))] }
-
-
-
-def A081002():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-(2*x**2))/(((1-(8*x))+(8*x**2))-x**3))] }
-
-
-
-def A081003():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**2)-(10*x))+2)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081004():
- x = SR.var('x')
- return { 'ogf': [(((7*x)-2)/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081005():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**2)-(10*x))+3)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081006():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-(4*x)-2))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081007():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+4))/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081008():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)-7))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081009():
- x = SR.var('x')
- return { 'ogf': [(-(((4*x)+1)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081010():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**2)-(17*x))+3)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081011():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**2)-(17*x))+4)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081012():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-(8*x)-3))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081013():
- x = SR.var('x')
- return { 'ogf': [((x*((-11)+x))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081014():
- x = SR.var('x')
- return { 'ogf': [(((-2)+(4*x)+(3*x**2))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081015():
- x = SR.var('x')
- return { 'ogf': [((5*((2*x)-1))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081016():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-x)*((1-(7*x))+x**2)))] }
-
-
-
-def A081017():
- x = SR.var('x')
- return { 'ogf': [((5*x*(2-x))/((1-x)*((1-(7*x))+x**2)))] }
-
-
-
-def A081018():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/((1-x)*((1-(7*x))+x**2)))] }
-
-
-
-def A081019():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)-(4*x)-3)/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081033():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(5*x))*(1-(7*x))))] }
-
-
-
-def A081034():
- x = SR.var('x')
- return { 'ogf': [((x+1)/(((48*x**2)-(14*x))+1))] }
-
-
-
-def A081035():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(7*x))*(1-(9*x))))] }
-
-
-
-def A081036():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(8*x))*(1-(10*x))))] }
-
-
-
-def A081037():
- x = SR.var('x')
- return { 'ogf': [((1+x)**3/(1+(2*x))**2)] }
-
-
-
-def A081038():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(3*x))**2)] }
-
-
-
-def A081039():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(4*x))**2)] }
-
-
-
-def A081040():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(5*x))**2)] }
-
-
-
-def A081041():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(6*x))**2)] }
-
-
-
-def A081042():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(7*x))**2)] }
-
-
-
-def A081044():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(9*x))**2)] }
-
-
-
-def A081045():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(10*x))**2)] }
-
-
-
-def A081057():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**2))/((1-(3*x)-(2*x**2))+(4*x**3))),
-(((1+x)*(1-(2*x)))/(1-(2*x)-(4*x**2))/(1-x))] }
-
-
-
-def A081065():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(3*x)))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A081067():
- x = SR.var('x')
- return { 'ogf': [(-((5*((x**2-(4*x))+1))/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081068():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(4*x))+x**2)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081069():
- x = SR.var('x')
- return { 'ogf': [(-((((9*x**2)-(23*x))+4)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081070():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x+1))/((1-x)*((x**2-(7*x))+1)))] }
-
-
-
-def A081071():
- x = SR.var('x')
- return { 'ogf': [(-((1+(8*x)+x**2)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081072():
- x = SR.var('x')
- return { 'ogf': [(((-3)+(18*x))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081073():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**2)-(21*x))+4)/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081074():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*((-6)+x))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081075():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)-(12*x)-5))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081076():
- x = SR.var('x')
- return { 'ogf': [(-((5*(((2*x**2)-(6*x))+1))/((x-1)*((x**2-(7*x))+1))))] }
-
-
-
-def A081077():
- x = SR.var('x')
- return { 'ogf': [(-((3*((2-(9*x))+(2*x**2)))/(x-1)/((x**2-(7*x))+1)))] }
-
-
-
-def A081078():
- x = SR.var('x')
- return { 'ogf': [((x*(((-4)-(12*x))+x**2))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A081079():
- x = SR.var('x')
- return { 'ogf': [(-((15*x)/(x-1)/((x**2-(7*x))+1)))] }
-
-
-
-def A081097():
- x = SR.var('x')
- return { 'ogf': [((x*((x**7+x**6+(13*x**5)+(89*x**4))-(17*x**3)-(17*x**2)-(5*x)-1))/((x-1)*(x**2-(4*x)-1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1)))] }
-
-
-
-def A081106():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/(1-(6*x))**2)] }
-
-
-
-def A081107():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(1-(7*x))**2)] }
-
-
-
-def A081108():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/(1-(8*x))**2)] }
-
-
-
-def A081109():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/(1-(9*x))**2)] }
-
-
-
-def A081122():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/(1-(10*x))**2)] }
-
-
-
-def A081127():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(11*x))**2)] }
-
-
-
-def A081128():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(12*x))**2)] }
-
-
-
-def A081135():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(5*x))**3)] }
-
-
-
-def A081136():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(6*x))**3)] }
-
-
-
-def A081139():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(9*x))**3)] }
-
-
-
-def A081140():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(10*x))**3)] }
-
-
-
-def A081141():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(11*x))**3)] }
-
-
-
-def A081142():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(12*x))**3)] }
-
-
-
-def A081143():
- x = SR.var('x')
- return { 'ogf': [(x**3/(1-(5*x))**4)] }
-
-
-
-def A081172():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x**2))/((-1)+x+x**2+x**3))] }
-
-
-
-def A081178():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x))-sqrt((((36*x**2)-(16*x))+1)))/(14*x))] }
-
-
-
-def A081179():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A081183():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(12*x))+(34*x**2)))] }
-
-
-
-def A081185():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(16*x))+(62*x**2)))] }
-
-
-
-def A081186():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(3*x))*(1-(5*x))))] }
-
-
-
-def A081187():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(4*x))*(1-(6*x))))] }
-
-
-
-def A081188():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(5*x))*(1-(7*x))))] }
-
-
-
-def A081189():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(6*x))*(1-(8*x))))] }
-
-
-
-def A081190():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(7*x))*(1-(9*x))))] }
-
-
-
-def A081192():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(9*x))*(1-(11*x))))] }
-
-
-
-def A081193():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A081194():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1-(3*x))*(1-(5*x))))] }
-
-
-
-def A081195():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x))/((1-(4*x))*(1-(6*x))))] }
-
-
-
-def A081199():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))*(1-(6*x))))] }
-
-
-
-def A081200():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))*(1-(7*x))))] }
-
-
-
-def A081201():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(6*x))*(1-(8*x))))] }
-
-
-
-def A081202():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(7*x))*(1-(9*x))))] }
-
-
-
-def A081203():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))*(1-(10*x))))] }
-
-
-
-def A081219():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(28*x**3)+(70*x**2)+(28*x)+1))/(x-1)**6)] }
-
-
-
-def A081245():
- x = SR.var('x')
- return { 'ogf': [((20/(1-x))-((15*x**19)/(1-x**19)))] }
-
-
-
-def A081251():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)*(1+x)*(1-(3*x))))] }
-
-
-
-def A081253():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-2)/((x-1)*(x+1)*((2*x)-1))))] }
-
-
-
-def A081254():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x-1)*(x+1)*((2*x)-1))))] }
-
-
-
-def A081266():
- x = SR.var('x')
- return { 'ogf': [(((6*x)+(3*x**2))/(1-x)**3)] }
-
-
-
-def A081267():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(2*x**2))/(1-x)**3)] }
-
-
-
-def A081272():
- x = SR.var('x')
- return { 'ogf': [((1+(22*x)+(13*x**2))/(1-x)**3)] }
-
-
-
-def A081275():
- x = SR.var('x')
- return { 'ogf': [((1+(28*x)+(7*x**2))/(1-x)**3)] }
-
-
-
-def A081276():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((-x**3)-(2*x**5))+(3*x**4)+1+(4*x**6)+(2*x**2))-(2*x**7))+x**8))/(((-1)+x)**4*(1+x)*(1+x**2)*(x**4+1)))] }
-
-
-
-def A081278():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*(1-x))/(1-(3*x))**3)] }
-
-
-
-def A081279():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*(1-x)**2)/(1-(3*x))**4)] }
-
-
-
-def A081280():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*(1-x)**3)/(1-(3*x))**5)] }
-
-
-
-def A081282():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(1-x)**6)] }
-
-
-
-def A081283():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3))/((1-x)*(1-x**2)**4))] }
-
-
-
-def A081284():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3))/((1-x)*(1-x**2)**5)),
-((x*((x**2-x)+1))/((x+1)**4*(x-1)**6))] }
-
-
-
-def A081294():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(4*x)))] }
-
-
-
-def A081335():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(2*x))*(1-(6*x))))] }
-
-
-
-def A081336():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(3*x))*(1-(7*x))))] }
-
-
-
-def A081337():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(4*x))*(1-(8*x))))] }
-
-
-
-def A081338():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(5*x))*(1-(9*x))))] }
-
-
-
-def A081340():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1+x)*(1-(5*x))))] }
-
-
-
-def A081341():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(6*x)))] }
-
-
-
-def A081342():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(2*x))*(1-(8*x))))] }
-
-
-
-def A081343():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(4*x))*(1-(10*x))))] }
-
-
-
-def A081345():
- x = SR.var('x')
- return { 'ogf': [((((5*x**3)-x**2)+(3*x)+1)/((1-x)**3*(1+x)**2))] }
-
-
-
-def A081346():
- x = SR.var('x')
- return { 'ogf': [((((1+x+(5*x**2))-x**3)+(2*x**4))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A081347():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)+(7*x**3))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A081348():
- x = SR.var('x')
- return { 'ogf': [((((1+(5*x))-x**2)+(3*x**3))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A081350():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**6)-(10*x**4))+x**3+x**2)-x-1)/((1-x)**3*(1+x)**2)))] }
-
-
-
-def A081351():
- x = SR.var('x')
- return { 'ogf': [(((x**3-x**2)+(7*x)+1)/((1-x)**3*(1+x)**2))] }
-
-
-
-def A081352():
- x = SR.var('x')
- return { 'ogf': [((((1+(5*x))-(3*x**2))+x**3)/((1+x)*(1-x)**3))] }
-
-
-
-def A081353():
- x = SR.var('x')
- return { 'ogf': [(((3-x)*(1+x**2))/((1-x)**3*(1+x)))] }
-
-
-
-def A081374():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)-(2*x**2))+1))/((1-(2*x))*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A081410():
- x = SR.var('x')
- return { 'ogf': [(((2*x**4)+1)/((1-x**3)*(1-x-x**2)))] }
-
-
-
-def A081423():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(7*x**2))-(6*x**3))/(1-x)**5)] }
-
-
-
-def A081435():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x**2))-(4*x**3))/(1-x)**5)] }
-
-
-
-def A081436():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(2*x)))/(1-x)**4)] }
-
-
-
-def A081437():
- x = SR.var('x')
- return { 'ogf': [((((1+(5*x))-(7*x**2))+x**3)/(1-x)**5)] }
-
-
-
-def A081438():
- x = SR.var('x')
- return { 'ogf': [((((1+(6*x))-(9*x**2))+(2*x**3))/(1-x)**5)] }
-
-
-
-def A081441():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(11*x**2))-(8*x**3))/(1-x)**5)] }
-
-
-
-def A081492():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(((4*x**2)-x)+1))/(x-1)**5))] }
-
-
-
-def A081498():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-x)**4)] }
-
-
-
-def A081499():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**4+x**3+x**2)-x-1))/((x-1)**4*(x+1)**3)))] }
-
-
-
-def A081502():
- x = SR.var('x')
- return { 'ogf': [(-((x*((6*x**9)-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x-1))/((x**11-x**10-x)+1)))] }
-
-
-
-def A081552():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+x+(9*x**2)))/(((10*x)-1)*(x-1)**2))] }
-
-
-
-def A081554():
- x = SR.var('x')
- return { 'ogf': [((8*x)/((1-(6*x))+x**2))] }
-
-
-
-def A081555():
- x = SR.var('x')
- return { 'ogf': [(((3-(14*x))+(7*x**2))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A081567():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A081568():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(7*x))+(11*x**2)))] }
-
-
-
-def A081569():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(9*x))+(19*x**2)))] }
-
-
-
-def A081570():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(11*x))+(29*x**2)))] }
-
-
-
-def A081571():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(13*x))+(41*x**2)))] }
-
-
-
-def A081574():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))+(19*x**2)))] }
-
-
-
-def A081575():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(11*x))+(29*x**2)))] }
-
-
-
-def A081583():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))**3/(1-x)**4)] }
-
-
-
-def A081584():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))**4/(1-x)**5)] }
-
-
-
-def A081585():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))**2/(1-x)**3)] }
-
-
-
-def A081586():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))**3/(1-x)**4)] }
-
-
-
-def A081587():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))**2/(1-x)**3)] }
-
-
-
-def A081588():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))**3/(1-x)**4)] }
-
-
-
-def A081589():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))**2/(1-x)**3)] }
-
-
-
-def A081590():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))**3/(1-x)**4)] }
-
-
-
-def A081591():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))**2/(1-x)**3)] }
-
-
-
-def A081593():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))**2/(1-x)**3)] }
-
-
-
-def A081594():
- x = SR.var('x')
- return { 'ogf': [(-((x*((7*x**9)-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x-1))/((x-1)**2*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A081595():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**9)-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x-1))/((x-1)**2*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A081596():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**9)-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x-1))/((x-1)**2*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A081597():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x**9)-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x-1))/((x-1)**2*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A081598():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**9)-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x-1))/((x-1)**2*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A081599():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x-1))/((x-1)**2*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A081625():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(3*x))*(1-(5*x))))] }
-
-
-
-def A081626():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))*(1-(6*x))))] }
-
-
-
-def A081627():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(5*x))*(1-(7*x))))] }
-
-
-
-def A081628():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/((1+x)*(1+(5*x))))] }
-
-
-
-def A081630():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-x)*(1+(3*x))))] }
-
-
-
-def A081631():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-(2*x))*(1+(2*x))))] }
-
-
-
-def A081632():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-(3*x))*(1+x)))] }
-
-
-
-def A081654():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(4*x)))] }
-
-
-
-def A081655():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(5*x))*(1-x)))] }
-
-
-
-def A081656():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(6*x))*(1-(2*x))))] }
-
-
-
-def A081657():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(7*x))*(1-(3*x))))] }
-
-
-
-def A081659():
- x = SR.var('x')
- return { 'ogf': [(((x**3+x)-1)/((x-1)**2*((x**2+x)-1)))] }
-
-
-
-def A081660():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**3))/((1+x)*(1-(2*x))*(1-x)**2))] }
-
-
-
-def A081661():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**3))/((1+x)*(1-(2*x))*(1-x)**3))] }
-
-
-
-def A081662():
- x = SR.var('x')
- return { 'ogf': [(((x**3+x)-1)/((1-x)**3*((x**2+x)-1)))] }
-
-
-
-def A081663():
- x = SR.var('x')
- return { 'ogf': [(-(((((3*x**3)-(5*x**2))+(4*x))-1)/(((2*x)-1)**2*((x**2-(3*x))+1))))] }
-
-
-
-def A081671():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(2*x))*(1-(6*x)))))] }
-
-
-
-def A081674():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/((1-x)*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A081675():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/((1-(2*x))*(1-(4*x))*(1-(5*x))))] }
-
-
-
-def A081678():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(4*x)))/((1-(3*x))*(1-(5*x))*(1-(6*x))))] }
-
-
-
-def A081679():
- x = SR.var('x')
- return { 'ogf': [(((((1-(19*x))+(136*x**2))-(429*x**3))+(498*x**4))/((1-(2*x))*(1-(3*x))*(1-(4*x))*(1-(5*x))*(1-(6*x))))] }
-
-
-
-def A081680():
- x = SR.var('x')
- return { 'ogf': [(-((((((1083*x**4)-(762*x**3))+(199*x**2))-(23*x))+1)/(((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A081681():
- x = SR.var('x')
- return { 'ogf': [(-((((((2068*x**4)-(1233*x**3))+(274*x**2))-(27*x))+1)/(((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1))))] }
-
-
-
-def A081682():
- x = SR.var('x')
- return { 'ogf': [(-((((((3603*x**4)-(1866*x**3))+(361*x**2))-(31*x))+1)/(((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1))))] }
-
-
-
-def A081683():
- x = SR.var('x')
- return { 'ogf': [(-((((((5862*x**4)-(2685*x**3))+(460*x**2))-(35*x))+1)/(((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1))))] }
-
-
-
-def A081684():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(254*x**4))+(266*x**3))-(99*x**2))+(16*x))/((x-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((5*x)-1)))] }
-
-
-
-def A081685():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(636*x**4))+(516*x**3))-(153*x**2))+(20*x))/(((6*x)-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((5*x)-1)))] }
-
-
-
-def A081686():
- x = SR.var('x')
- return { 'ogf': [(-((((((1326*x**4)-(886*x**3))+(219*x**2))-(24*x))+1)/(((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A081687():
- x = SR.var('x')
- return { 'ogf': [(-((((((2456*x**4)-(1400*x**3))+(297*x**2))-(28*x))+1)/(((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1))))] }
-
-
-
-def A081696():
- x = SR.var('x')
- return { 'ogf': [(1/(x+sqrt((1-(4*x)))))] }
-
-
-
-def A081698():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x*sqrt((1+(4*x)))))))/(2*x))] }
-
-
-
-def A081704():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(5*x))+(3*x**2)))] }
-
-
-
-def A081714():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(2*x)))/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A081854():
- x = SR.var('x')
- return { 'ogf': [((60+(1793*x)+(3533*x**2)+(755*x**3)+(3*x**4))/(1-x)**5)] }
-
-
-
-def A081890():
- x = SR.var('x')
- return { 'ogf': [(-((((((4182*x**4)-(2082*x**3))+(387*x**2))-(32*x))+1)/(((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1))))] }
-
-
-
-def A081891():
- x = SR.var('x')
- return { 'ogf': [(-((((((6684*x**4)-(2956*x**3))+(489*x**2))-(36*x))+1)/(((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1))))] }
-
-
-
-def A081898():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))**4/(1-(3*x))**5)] }
-
-
-
-def A081900():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))**4/(1-(5*x))**5)] }
-
-
-
-def A081906():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))**6/(1-(5*x))**7)] }
-
-
-
-def A081907():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))**2/(1-(6*x))**3)] }
-
-
-
-def A081908():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(5*x**2))/(1-(2*x))**3)] }
-
-
-
-def A081910():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(17*x**2))/(1-(4*x))**3)] }
-
-
-
-def A081915():
- x = SR.var('x')
- return { 'ogf': [((((1-(12*x))+(48*x**2))-(63*x**3))/(1-(4*x))**4)] }
-
-
-
-def A081916():
- x = SR.var('x')
- return { 'ogf': [((((1-(15*x))+(75*x**2))-(124*x**3))/(1-(5*x))**4)] }
-
-
-
-def A082010():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2)*(((((x**8+(2*x**6))-x**5)+(2*x**4)+(2*x**2))-x)+2))/((1+x+x**2+x**3+x**4)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A082041():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(18*x)-(13*x**2))/(x-1)**3)] }
-
-
-
-def A082045():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(9*x**2))-(6*x**3))+(4*x**4))/(x-1)**6)] }
-
-
-
-def A082106():
- x = SR.var('x')
- return { 'ogf': [((1+x+(13*x**2)+(3*x**3)+(6*x**4))/(1-x)**5)] }
-
-
-
-def A082109():
- x = SR.var('x')
- return { 'ogf': [(((1+(10*x))-(3*x**2))/(1-x)**3)] }
-
-
-
-def A082112():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(12*x))+(5*x**2))/(x-1)**3)] }
-
-
-
-def A082113():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(12*x**2)-(2*x**3)-(7*x**4))/(x-1)**5)] }
-
-
-
-def A082115():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+(2*x**3)+(2*x**5)+(2*x**6)+x**7)/(1-x**8))] }
-
-
-
-def A082116():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+(2*x**3)+(3*x**4)+(3*x**6)+(3*x**7)+x**8+(4*x**9)+(4*x**11)+(4*x**12)+(3*x**13)+(2*x**14)+(2*x**16)+(2*x**17)+(4*x**18)+x**19)/(1-x**20)),
-(-((x*(((1+x+x**2+(2*x**3)+(3*x**6))-x**7-(2*x**8)-x**4)+x**9+(4*x**10)+x**11))/((x-1)*(x**4+x**3+x**2+x+1)*((((x**8-x**6)+x**4)-x**2)+1))))] }
-
-
-
-def A082117():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**22+(5*x**21)+(2*x**20)+(3*x**19)+(5*x**18)+(4*x**17)+x**16+(3*x**15)+(4*x**14)+(5*x**13)+(5*x**12)+(5*x**10)+x**9+(4*x**8)+(3*x**7)+x**6+(2*x**5)+(5*x**4)+(3*x**3)+(2*x**2)+x+1))/((x-1)*(x+1)*((x**2-x)+1)*(x**2+1)*(x**2+x+1)*((x**4-x**2)+1)*(x**4+1)*((x**8-x**4)+1))))] }
-
-
-
-def A082133():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+(5*x**2)))/(((3*x)-1)**2*(x-1)**2))] }
-
-
-
-def A082134():
- x = SR.var('x')
- return { 'ogf': [((x*(((10*x**2)-(6*x))+1))/(((2*x)-1)**2*((4*x)-1)**2))] }
-
-
-
-def A082135():
- x = SR.var('x')
- return { 'ogf': [((x*(((17*x**2)-(8*x))+1))/(((3*x)-1)**2*((5*x)-1)**2))] }
-
-
-
-def A082136():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(10*x))+(26*x**2)))/(((6*x)-1)**2*((4*x)-1)**2))] }
-
-
-
-def A082138():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(12*x**2))-(16*x**3))+(8*x**4))/(1-(2*x))**4)] }
-
-
-
-def A082146():
- x = SR.var('x')
- return { 'ogf': [((1+x**5)/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**6))),
-(((1+x**2+x**4)-x-x**3)/((1+x**2)*((x**2-x)+1)*(1+x)**2*(1+x+x**2)**2*(x-1)**4))] }
-
-
-
-def A082147():
- x = SR.var('x')
- return { 'ogf': [(((1+(7*x))-sqrt((((49*x**2)-(18*x))+1)))/(16*x))] }
-
-
-
-def A082148():
- x = SR.var('x')
- return { 'ogf': [(((1+(9*x))-sqrt((((81*x**2)-(22*x))+1)))/(20*x))] }
-
-
-
-def A082173():
- x = SR.var('x')
- return { 'ogf': [(((1+(10*x))-sqrt((((100*x**2)-(24*x))+1)))/(22*x))] }
-
-
-
-def A082181():
- x = SR.var('x')
- return { 'ogf': [(((1+(8*x))-sqrt((((64*x**2)-(20*x))+1)))/(18*x))] }
-
-
-
-def A082267():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**9-x**10-x**19))/((1-(2*x**2))+x**20))] }
-
-
-
-def A082289():
- x = SR.var('x')
- return { 'ogf': [((x**4*(2+x))/((1+x)*(1-x)**5))] }
-
-
-
-def A082290():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1+x**2)*(1+x)**4*(1-x)**5))] }
-
-
-
-def A082291():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(5*x))-x**2))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A082298():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt((((9*x**2)-(10*x))+1)))/(2*x)),
-((1-(3*x)-sqrt((((9*x**2)-(10*x))+1)))/(2*x))] }
-
-
-
-def A082301():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-sqrt((((16*x**2)-(12*x))+1)))/(2*x))] }
-
-
-
-def A082302():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-sqrt((((25*x**2)-(14*x))+1)))/(2*x))] }
-
-
-
-def A082305():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x)-sqrt((((36*x**2)-(16*x))+1)))/(2*x))] }
-
-
-
-def A082307():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))/(1-(4*x))**2)+((1-x)/(1-(2*x))**2))/2)] }
-
-
-
-def A082309():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))/(1-(6*x))**2)+((1-(3*x))/(1-(4*x))**2))/2)] }
-
-
-
-def A082311():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1+x)*(1-(8*x))))] }
-
-
-
-def A082365():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(7*x)-(8*x**2)))] }
-
-
-
-def A082366():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x)-sqrt((((49*x**2)-(18*x))+1)))/(2*x))] }
-
-
-
-def A082367():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x)-sqrt((((64*x**2)-(20*x))+1)))/(2*x))] }
-
-
-
-def A082369():
- x = SR.var('x')
- return { 'ogf': [((x*(13+(17*x)))/(1-x)**2)] }
-
-
-
-def A082383():
- x = SR.var('x')
- return { 'ogf': [(((x**2+x)-1)/((x-1)**2*((2*x)-1)*((2*x)+1)))] }
-
-
-
-def A082384():
- x = SR.var('x')
- return { 'ogf': [(-(((((4*x**4)-(12*x**3))+(14*x**2))-(3*x)-1)/((x-1)**3*((2*x)-1)*((2*x)+1))))] }
-
-
-
-def A082405():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(34*x))+x**2))] }
-
-
-
-def A082411():
- x = SR.var('x')
- return { 'ogf': [((4.07389224418E11-(3.31045545867E11*x))/(1-x-x**2))] }
-
-
-
-def A082412():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(2*x))*(1-(8*x))))] }
-
-
-
-def A082413():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(3*x))*(1-(9*x))))] }
-
-
-
-def A082414():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(4*x))*(1-(10*x))))] }
-
-
-
-def A082505():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(1-(2*x)))] }
-
-
-
-def A082541():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(3*x)))] }
-
-
-
-def A082574():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(3*x)-x**2)))] }
-
-
-
-def A082582():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)-sqrt(((1-(4*x))+(2*x**2)+x**4)))/(2*x))] }
-
-
-
-def A082585():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((x**2+(5*x))-1)))] }
-
-
-
-def A082587():
- x = SR.var('x')
- return { 'ogf': [((3+x+x**2+(2*x**3))/(1-x**2-x**4))] }
-
-
-
-def A082639():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x+1))/((x-1)*((x**2-(6*x))+1))))] }
-
-
-
-def A082642():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**3+(2*x**4)+(2*x**5)+(2*x**6)+x**7+x**8+x**10)/((1-x**3)*(1-x**4)*(1-x**5))),
-(-(((((x**6-x**5)+(2*x**3))-x)+1)/((x-1)**3*(x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A082651():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(7*x**2)+x**3))/((1-(18*x**2))+x**4))] }
-
-
-
-def A082667():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x)*(1+x**2))/((1+x+x**2)**2*(x-1)**3)))] }
-
-
-
-def A082679():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(3*x))+(2*x**2))-x**3))/((((1-(5*x))+(6*x**2))-(3*x**3))+x**4))] }
-
-
-
-def A082685():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(5*x))*(1-(2*x))))] }
-
-
-
-def A082724():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(11*x))*(1-(3*x))))] }
-
-
-
-def A082742():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((1+x)-x**2-x**3)+x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A082761():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(6*x))+(4*x**2))),
-(1/(1-((4*x)/(1-(x/(1-x))))))] }
-
-
-
-def A082762():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A082764():
- x = SR.var('x')
- return { 'ogf': [(((-(2*x))+1)/(((7*x**2)-(10*x))+1))] }
-
-
-
-def A082801():
- x = SR.var('x')
- return { 'ogf': [((6*x*(2+(4*x)+(5*x**2)+(7*x**3)+(9*x**4)+x**5+(8*x**6)+(6*x**7)+(5*x**8)+(3*x**9)+x**10))/((1-x)**2*(1+x)**2*((1-x)+x**2)**2*(1+x+x**2)**2))] }
-
-
-
-def A082840():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(6*x))-(2*x**2))/((1-x)*((1-(4*x))+x**2)))] }
-
-
-
-def A082841():
- x = SR.var('x')
- return { 'ogf': [(((3-(6*x))+(3*x**2))/((1-x)*((1-(4*x))+x**2)))] }
-
-
-
-def A082873():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((1-x)+(2*x**2))-x**4)+(2*x**5))-x**6)+x**7+(2*x**8))-x**9)+x**10+x**3))/((1+x)*(1+x**2)*((x**4-x**2)+1)*((x**2-x)+1)*(1+x+x**2)*(x-1)**3)))] }
-
-
-
-def A082874():
- x = SR.var('x')
- return { 'ogf': [((x*(x**11-x**10-x**8-x**7-(3*x**6)-(2*x**5)-(3*x**4)-(3*x**3)-(2*x**2)-(2*x)-1))/((x-1)**3*(x+1)*((x**2-x)+1)*(x**2+x+1)**2))] }
-
-
-
-def A082942():
- x = SR.var('x')
- return { 'ogf': [((3+(49*x)+(1188*x**2)+(4490*x**3)+(4595*x**4)+(1125*x**5)+(70*x**6))/(1-x)**7)] }
-
-
-
-def A082958():
- x = SR.var('x')
- return { 'ogf': [((((1-x)*(1+x**2))-((1+x)*sqrt((1-(2*x**2)-(3*x**4)))))/(2*x*((x**3+x**2+x)-1)))] }
-
-
-
-def A082962():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x)+(7*x**2))-(3*x**3))+x**4))/(1-(12*x**3)-x**6))] }
-
-
-
-def A082966():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**8-x**7-(4*x**6)-(55*x**5)-(56*x**4)-(83*x**3)-(28*x**2)-(13*x)-1))/((x-1)**7*(x+1)**4))] }
-
-
-
-def A082975():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(1+(3*x)+(10*x**2)+x**3+x**5))/(1-(12*x**3)-x**6)))] }
-
-
-
-def A082977():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**4))*(1+x+x**2))/((1-x)**2*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A082981():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)**2*(x**2+1)**2)/((x**4-(2*x**2)-1)*((x**4+(2*x**2))-1)))] }
-
-
-
-def A082987():
- x = SR.var('x')
- return { 'ogf': [((3*x**2)/((x-1)*(((9*x**2)+(3*x))-1)))] }
-
-
-
-def A082989():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x))/(1+x+((1-x)*sqrt((1-(4*x))))))] }
-
-
-
-def A083026():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(x**5+x**4+x**3+x**2+2))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A083028():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(((((x**5+(2*x**4))-x**3)+(3*x**2))-x)+2))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A083030():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+(3*x)+(5*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A083031():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(4*x)+(5*x**2)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A083032():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+(3*x)+(3*x**2)+(2*x**3)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A083033():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+1)*((2*x**4)+x**3+x+2))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A083034():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*((2*x**5)+x**3+x**2+x+1))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A083039():
- x = SR.var('x')
- return { 'ogf': [((x/(1-x))+(x**2/(1-x**2))+(x**3/(1-x**3)))] }
-
-
-
-def A083040():
- x = SR.var('x')
- return { 'ogf': [((x/(1-x))+(x**2/(1-x**2))+(x**3/(1-x**3))+(x**4/(1-x**4)))] }
-
-
-
-def A083043():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(20*x))+x**2))] }
-
-
-
-def A083065():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(5*x))*(1-x)))] }
-
-
-
-def A083066():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(6*x))*(1-x)))] }
-
-
-
-def A083067():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(7*x))*(1-x)))] }
-
-
-
-def A083068():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(8*x))*(1-x)))] }
-
-
-
-def A083076():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A083077():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A083078():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-x)*(1-(13*x))))] }
-
-
-
-def A083079():
- x = SR.var('x')
- return { 'ogf': [((((1+(59*x))-(17*x**2))+(5*x**3))/(1-x)**4)] }
-
-
-
-def A083085():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1+(5*x))*(1-x)))] }
-
-
-
-def A083089():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+x**3+2)*(1+x+x**2))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A083098():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(6*x**2)))] }
-
-
-
-def A083099():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(6*x**2)))] }
-
-
-
-def A083100():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-(2*x)-(7*x**2)))] }
-
-
-
-def A083101():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x))/(1-(2*x)-(10*x**2)))] }
-
-
-
-def A083102():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-(10*x**2)))] }
-
-
-
-def A083103():
- x = SR.var('x')
- return { 'ogf': [((1.7867727019288027E33-(7.270894768748876E32*x))/(1-x-x**2))] }
-
-
-
-def A083104():
- x = SR.var('x')
- return { 'ogf': [((3.316356359982747E32+(1.1783932750901272E33*x))/(1-x-x**2))] }
-
-
-
-def A083105():
- x = SR.var('x')
- return { 'ogf': [((6.2638280004239856E16-(1.3174844261034202E16*x))/(1-x-x**2))] }
-
-
-
-def A083120():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+x**2+(2*x**3)+(2*x**4)+x**5+(2*x**6)))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A083178():
- x = SR.var('x')
- return { 'ogf': [((x*((90*x**6)+(10*x**4)+(11*x**3)+(3*x**2)+(2*x)+1))/((x-1)*(x**2+x+1)*((10*x**3)-1)))] }
-
-
-
-def A083200():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(10*x)+(20*x**2)+(10*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A083216():
- x = SR.var('x')
- return { 'ogf': [((2.0615674205555512E16-(1.6820908843987996E16*x))/(1-x-x**2))] }
-
-
-
-def A083217():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(5*x))*(1+x)))] }
-
-
-
-def A083219():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+x**2)-x**3))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A083220():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**3-x**2-x-1))/((x-1)**2*(x+1)*(x**2+1))))] }
-
-
-
-def A083222():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1+(5*x))*(1-(5*x))))] }
-
-
-
-def A083223():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1+(6*x))*(1-(6*x))))] }
-
-
-
-def A083224():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1+(7*x))*(1-(7*x))))] }
-
-
-
-def A083225():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1+(8*x))*(1-(8*x))))] }
-
-
-
-def A083226():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1+(9*x))*(1-(9*x))))] }
-
-
-
-def A083227():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1+(10*x))*(1-(10*x))))] }
-
-
-
-def A083229():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(3*x))*(1+(5*x))))] }
-
-
-
-def A083231():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(5*x))*(1+(3*x))))] }
-
-
-
-def A083233():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(8*x)))] }
-
-
-
-def A083294():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-x)*(1+(9*x))))] }
-
-
-
-def A083295():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-(2*x))*(1+(8*x))))] }
-
-
-
-def A083296():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-(3*x))*(1+(7*x))))] }
-
-
-
-def A083297():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-(4*x))*(1+(6*x))))] }
-
-
-
-def A083299():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(6*x))*(1+(4*x))))] }
-
-
-
-def A083300():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(7*x))*(1+(3*x))))] }
-
-
-
-def A083301():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(8*x))*(1+(2*x))))] }
-
-
-
-def A083313():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+((1-(2*x))*(1-(3*x))))/(2*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A083314():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(7*x**2))/((1-x)*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A083315():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+(13*x**2))/((1-(2*x))*(1-(4*x))*(1-(5*x))))] }
-
-
-
-def A083316():
- x = SR.var('x')
- return { 'ogf': [(((1-(9*x))+(21*x**2))/((1-(3*x))*(1-(5*x))*(1-(6*x))))] }
-
-
-
-def A083318():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((1-x)*(1-(2*x))))] }
-
-
-
-def A083319():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(2*x**2))/((1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A083320():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(7*x**2))/((1-(3*x))*(1-(4*x))*(1-(5*x))))] }
-
-
-
-def A083321():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(7*x**2))/((1+x)*(1+(2*x))*(1+(3*x))))] }
-
-
-
-def A083322():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((1-(2*x))*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A083323():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(5*x**2))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A083324():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(10*x**2))/((1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A083325():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(17*x**2))/((1-(3*x))*(1-(4*x))*(1-(5*x))))] }
-
-
-
-def A083326():
- x = SR.var('x')
- return { 'ogf': [(((1-(10*x))+(26*x**2))/((1-(4*x))*(1-(5*x))*(1-(6*x))))] }
-
-
-
-def A083327():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(7*x))+(13*x**2)))/((1-(2*x))*(1-(3*x))*(1-(4*x))*(1-(5*x))))] }
-
-
-
-def A083328():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(9*x))+(21*x**2)))/((1-(3*x))*(1-(4*x))*(1-(5*x))*(1-(6*x))))] }
-
-
-
-def A083329():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)*(1-(2*x))))] }
-
-
-
-def A083332():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x)+(4*x**2))-(16*x**3))/((1-(10*x**2))+(16*x**4)))] }
-
-
-
-def A083333():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(4*x**2))/((1-(10*x**2))+(16*x**4)))] }
-
-
-
-def A083334():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x)+(5*x**2))-(25*x**3))/((1-(12*x**2))+(25*x**4)))] }
-
-
-
-def A083335():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(5*x**2))/((1-(12*x**2))+(25*x**4)))] }
-
-
-
-def A083336():
- x = SR.var('x')
- return { 'ogf': [(((3+(3*x))-(3*x**2))/((1-(4*x**2))+x**4))] }
-
-
-
-def A083337():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A083363():
- x = SR.var('x')
- return { 'ogf': [((x**5-x**4-(7*x**3)-(2*x**2)-(6*x)-1)/((x-1)**3*(x+1)**2))] }
-
-
-
-def A083364():
- x = SR.var('x')
- return { 'ogf': [((x**5+(6*x**4)+(3*x**3)+(9*x**2)+(4*x)+1)/((x-1)**4*(x+1)**3))] }
-
-
-
-def A083374():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**2*(1+x))/(x-1)**5))] }
-
-
-
-def A083392():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*(1+x)**3))] }
-
-
-
-def A083416():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x)+x**2)-x**3))/(1-x**2)/(1-(2*x**2)))] }
-
-
-
-def A083420():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A083421():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*x))*(1-(5*x))))] }
-
-
-
-def A083423():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(3*x))*(1+(3*x))))] }
-
-
-
-def A083424():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-(8*x**2)))] }
-
-
-
-def A083425():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1-(5*x))))] }
-
-
-
-def A083426():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(2*x))*(1-(7*x))))] }
-
-
-
-def A083560():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**11-(4*x**10))+(6*x**9))-(4*x**8))+(2*x**7))-(4*x**6)-(21*x**5)-(73*x**4)-(93*x**3)-(74*x**2)-(23*x)-1))/((x-1)**5*(x**2+x+1)))] }
-
-
-
-def A083564():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(12*x))-(9*x**2)-(4*x**3)))/(((1+x)-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A083578():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+(4*x))*(1-(6*x))))] }
-
-
-
-def A083579():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/(((1-(3*x))+x**2+(3*x**3))-(2*x**4)))] }
-
-
-
-def A083580():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+(5*x**2)))/((1-(2*x))**2*(1-(3*x))))] }
-
-
-
-def A083581():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-x)*(1+(2*x))))] }
-
-
-
-def A083582():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-(2*x))*(1+x)))] }
-
-
-
-def A083583():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-(3*x)))] }
-
-
-
-def A083584():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A083585():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(2*x))*(1-(5*x))))] }
-
-
-
-def A083587():
- x = SR.var('x')
- return { 'ogf': [((((-(10*x**3))+(2*x**2)+(3*x))-1)/(((2*x)-1)**2*((3*x)-1)))] }
-
-
-
-def A083594():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-x)*(1+(2*x))))] }
-
-
-
-def A083595():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-(2*x))*(1+x)))] }
-
-
-
-def A083597():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(4*x))*(1-x)))] }
-
-
-
-def A083669():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(46*x)-(136*x**2)-(46*x**3)-x**4)/(x-1)**5)] }
-
-
-
-def A083671():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((((((((((((((x**67-x**65-x**63)+x**61)-x**59)+x**57)-x**55)+x**53)-x**49-x**45-x**44-x**42)+(3*x**41))-x**40)+(2*x**38))-x**37-x**36)+x**35)-x**34-(2*x**33))+(2*x**32))-x**30-x**28)+x**27+(2*x**26))-x**25-x**24-x**22)+x**20)-(2*x**19)-(2*x**18))+(2*x**17))-x**13-x**12)+x**11)-(2*x**9)-x**8-x**7-x**6-x**5-x**4-(2*x**3)-x**2-x-1))/(x**8-1))] }
-
-
-
-def A083673():
- x = SR.var('x')
- return { 'ogf': [((x*(((((5*x**6)-(3*x**5))+(4*x**4)+(3*x**3))-x**2)+(2*x)+2))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A083683():
- x = SR.var('x')
- return { 'ogf': [((12-(13*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A083694():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(1-(2*x)-(5*x**2)))] }
-
-
-
-def A083695():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(1-(2*x)-(5*x**2)))] }
-
-
-
-def A083705():
- x = SR.var('x')
- return { 'ogf': [(-(((-10)+(11*x))/(((2*x)-1)*(x-1))))] }
-
-
-
-def A083706():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A083707():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**3)+x**5)/((1-x)**2*(1-x**2)**2*(1-x**3)))] }
-
-
-
-def A083708():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**3)+x**5)/((1-x)**2*(1-x**2)**2*(1-x**3)**2))] }
-
-
-
-def A083709():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+(2*x**2)+(2*x**3)+(2*x**4))-x**5)+x**6)/((1-x)*(1-x**2)**2*(1-x**3)))] }
-
-
-
-def A083817():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**7)+x**5)-(4*x**4)-x**3)+(2*x)+1)/((x-1)**3*(x**2+x+1)**3)))] }
-
-
-
-def A083839():
- x = SR.var('x')
- return { 'ogf': [((((((x-(3*x**2))+(6*x**3))-(8*x**4))+(4*x**5))-x**7)/((((((1-(4*x))+(6*x**2))-(5*x**3))+(2*x**4)+x**5)-x**6)+x**7)),
-((x*((((1-(3*x)-(8*x**3))+(4*x**4))-x**6)+(6*x**2)))/(((x**2-x)+1)*((x**2+x)-1)*(((x**3-x**2)+(2*x))-1)))] }
-
-
-
-def A083877():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+1))/((x+1)*((3*x)-1)**2))] }
-
-
-
-def A083878():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A083879():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A083880():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A083881():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(6*x))+(6*x**2)))] }
-
-
-
-def A083882():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(8*x))+(13*x**2)))] }
-
-
-
-def A083884():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A083885():
- x = SR.var('x')
- return { 'ogf': [((((4*x**3)-(2*x**2)-(3*x))+1)/(((2*x)+1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A083943():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/((1+x)*(1-x)*(1-(2*x))))] }
-
-
-
-def A083944():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(4*x)))/((1+x)*(1-x)*(1-(2*x))))] }
-
-
-
-def A084056():
- x = SR.var('x')
- return { 'ogf': [((x-(2*x**2))/((1+x)*(1-x**2)))] }
-
-
-
-def A084057():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A084058():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(7*x**2)))] }
-
-
-
-def A084059():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(4*x)-(2*x**2)))] }
-
-
-
-def A084060():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(4*x))+(3*x**2))/((x-1)*(1+x)**2))] }
-
-
-
-def A084069():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/((1-(16*x**2))+x**4))] }
-
-
-
-def A084084():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-(3*x**2)-x**3))] }
-
-
-
-def A084086():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(3*x))+(2*x**2)+(2*x**3))/(((-(7*x**2))-1)+(5*x)+(2*x**3))))] }
-
-
-
-def A084102():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))**2/(1+(2*x)+(2*x**2)))] }
-
-
-
-def A084104():
- x = SR.var('x')
- return { 'ogf': [((1+x)**3/((1-x)*(1+x**3))),
-((1+x)**2/((1-x)*((1-x)+x**2)))] }
-
-
-
-def A084120():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(6*x))+(3*x**2)))] }
-
-
-
-def A084128():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A084130():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(8*x))+(8*x**2)))] }
-
-
-
-def A084131():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A084132():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(4*x)-(6*x**2)))] }
-
-
-
-def A084134():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(8*x))+(6*x**2)))] }
-
-
-
-def A084135():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+(15*x**2)))] }
-
-
-
-def A084136():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((3*x)-1))/((x-1)*(((7*x**2)+(2*x))-1))))] }
-
-
-
-def A084137():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(2*x))*(1-(4*x)-(4*x**2))))] }
-
-
-
-def A084150():
- x = SR.var('x')
- return { 'ogf': [(x**2/((x-1)*(((7*x**2)+(2*x))-1)))] }
-
-
-
-def A084151():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/(((3*x)-1)*((1-(6*x))+x**2))))] }
-
-
-
-def A084152():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A084153():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1+x)*(1-(2*x))*(1-(5*x))))] }
-
-
-
-def A084154():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/((1-(2*x**2))*((1-(4*x))+(2*x**2))))] }
-
-
-
-def A084155():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+(5*x**2)))/((1-(2*x)-x**2)*((1-(6*x))+(7*x**2))))] }
-
-
-
-def A084156():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(3*x**2)))/((1-(3*x**2))*((1-(4*x))+x**2)))] }
-
-
-
-def A084157():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+(6*x**2)))/((1-(2*x)-(2*x**2))*((1-(6*x))+(6*x**2))))] }
-
-
-
-def A084159():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1+x)*((1-(6*x))+x**2)))] }
-
-
-
-def A084169():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**2)))/((1-(2*x)-(13*x**2)-(4*x**3))+(4*x**4)))] }
-
-
-
-def A084170():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1+x)*(1-x)*(1-(2*x))))] }
-
-
-
-def A084171():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/((1-(2*x))*(1-(3*x))))] }
-
-
-
-def A084173():
- x = SR.var('x')
- return { 'ogf': [((((4*x**3)-(3*x**2))+1)/((((-(2*x**4))+(3*x**3)+x**2)-(3*x))+1))] }
-
-
-
-def A084174():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2+x**3)/(((1-(3*x))+x**2+(3*x**3))-(2*x**4)))] }
-
-
-
-def A084175():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(2*x))*(1-x)*(1-(4*x))))] }
-
-
-
-def A084177():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*(1-(2*x))*(1-(5*x))))] }
-
-
-
-def A084178():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1+x)-(3*x**2)-(2*x**3)))] }
-
-
-
-def A084179():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(2*x))*(1-x-x**2)))] }
-
-
-
-def A084181():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(4*x**2))/((1+x)*(1+(2*x))*(1-(2*x))))] }
-
-
-
-def A084182():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**2))/((1+x)*(1-(3*x))))] }
-
-
-
-def A084183():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/((1+x)*(1+(2*x))*(1-(2*x))))] }
-
-
-
-def A084213():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A084214():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1+x)*(1-(2*x))))] }
-
-
-
-def A084215():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1-(2*x)))] }
-
-
-
-def A084219():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/((1-x)*(1+(2*x))**2))] }
-
-
-
-def A084221():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(2*x))*(1+(2*x))))] }
-
-
-
-def A084222():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-x)*(1+(3*x))))] }
-
-
-
-def A084231():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(142*x)+x**2))/((1-x)*((1-(194*x))+x**2)))] }
-
-
-
-def A084240():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1+x)*(1+(4*x))))] }
-
-
-
-def A084241():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)*(1+(4*x))))] }
-
-
-
-def A084244():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1+(3*x)))] }
-
-
-
-def A084247():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-x)*(1+(2*x))))] }
-
-
-
-def A084265():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(2*x**2))+x**3)/((1+x)*(x-1)**3))] }
-
-
-
-def A084267():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-x**3)+x**2)-x)+1)/((1-x)**4*(1+x**2)*(1+x+x**2)*((1-x**2)+x**4)))] }
-
-
-
-def A084326():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A084328():
- x = SR.var('x')
- return { 'ogf': [(x/(((11*x**2)-(13*x))+1))] }
-
-
-
-def A084329():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(20*x))+(20*x**2)))] }
-
-
-
-def A084330():
- x = SR.var('x')
- return { 'ogf': [(x/(((29*x**2)-(31*x))+1))] }
-
-
-
-def A084351():
- x = SR.var('x')
- return { 'ogf': [((x*((-(3*x**8))+(4*x**6)+(4*x**5)+(18*x**4)+(4*x**3)+(12*x**2)+(4*x)+1))/((x**8-(2*x**4))+1))] }
-
-
-
-def A084367():
- x = SR.var('x')
- return { 'ogf': [((x*(9+(14*x)+x**2))/(1-x)**4)] }
-
-
-
-def A084380():
- x = SR.var('x')
- return { 'ogf': [((((2-(5*x))+(10*x**2))-x**3)/(x-1)**4)] }
-
-
-
-def A084386():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(3*x**3)))] }
-
-
-
-def A084439():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**3*(1-x**3)**2*(1-x**5)))] }
-
-
-
-def A084446():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**4*(1-x**3)**3*(1-x**5)**2*(1-x**7)))] }
-
-
-
-def A084447():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**5*(1-x**3)**4*(1-x**5)**3*(1-x**7)**2*(1-x**9)))] }
-
-
-
-def A084477():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-(11*x)-(2*x**2)))/(1-(6*x)))] }
-
-
-
-def A084478():
- x = SR.var('x')
- return { 'ogf': [((-1)+((1-(2*x)-(31*x**2)-(40*x**3)-(20*x**4))/(1-(2*x)-(103*x**2)-(280*x**3)-(380*x**4))))] }
-
-
-
-def A084479():
- x = SR.var('x')
- return { 'ogf': [((24*(x**2*(3+(10*x)+(15*x**2))))/(1-(2*x)-(31*x**2)-(40*x**3)-(20*x**4)))] }
-
-
-
-def A084480():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**3)/((1-(4*x)-(2*x**2))+x**3+(4*x**4)+(4*x**5)+(2*x**6)))] }
-
-
-
-def A084481():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1+x)**2*(1-x-x**3)))/(1-(2*x)-x**3))] }
-
-
-
-def A084485():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(3*x))+(3*x**2))-(17*x**3))+(33*x**4)))/(((3*x)-1)**3*((2*x)-1)**3))] }
-
-
-
-def A084486():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((1-(4*x)-(40*x**2))+(44*x**3)+(2885*x**4))-(19624*x**5))+(59014*x**6))-(97728*x**7))+(98064*x**8))-(67200*x**9))+(28800*x**10)))/(((3*x)-1)**4*((2*x)-1)**4*((4*x)-1)**4))] }
-
-
-
-def A084518():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-(2*x**2)))/((1-x)*(1-(3*x)-(2*x**2)-(2*x**3))))] }
-
-
-
-def A084519():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-(2*x**2)))/(1-(3*x)-(2*x**2)-(2*x**3)))] }
-
-
-
-def A084567():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x)*(1+(3*x))))] }
-
-
-
-def A084568():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(4*x**2))/((1+(2*x))*(1-(2*x))))] }
-
-
-
-def A084605():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-(15*x**2))**(1/2))] }
-
-
-
-def A084633():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(2*x)+1)/((2*x)+1))] }
-
-
-
-def A084639():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1+x)*(1-x)*(1-(2*x))))] }
-
-
-
-def A084640():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1+x)*(1-x)*(1-(2*x))))] }
-
-
-
-def A084641():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((272*x**6)-(816*x**5))+(96*x**4)+(1168*x**3))-(606*x**2)-(114*x)-1))/((2*x)-1)**8))] }
-
-
-
-def A084643():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(8*x**2))/((1-(2*x))*(1-(3*x))**2))] }
-
-
-
-def A084672():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+(2*x**4))/((1-x**3)*(1-x)**2))] }
-
-
-
-def A084683():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**3)+(2*x**6))/((1-x)*((((1-x-x**2)+x**3)-x**4-x**5)+x**6)))] }
-
-
-
-def A084684():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A084703():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A084707():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**3))/(((1-(3*x))+(3*x**3))-x**4))] }
-
-
-
-def A084768():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(14*x))+x**2)))] }
-
-
-
-def A084769():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(18*x))+x**2)))] }
-
-
-
-def A084771():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(10*x))+(9*x**2))))] }
-
-
-
-def A084782():
- x = SR.var('x')
- return { 'ogf': [(2/(sqrt((((x**2+(5*x))-1)/((x**2+x)-1)))+1))] }
-
-
-
-def A084847():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+(14*x**2))/((1-(3*x))*(1-(4*x))**2))] }
-
-
-
-def A084849():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2))/(1-x)**3)] }
-
-
-
-def A084850():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(2*x**2))/(1-(2*x))**3)] }
-
-
-
-def A084851():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(1-(2*x))**3)] }
-
-
-
-def A084858():
- x = SR.var('x')
- return { 'ogf': [(((x**2-x)+1)/(1-(2*x))**2)] }
-
-
-
-def A084868():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(2*x*sqrt((1-(4*x)))))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A084869():
- x = SR.var('x')
- return { 'ogf': [(-((((13*x**2)-(7*x))+1)/(((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A084870():
- x = SR.var('x')
- return { 'ogf': [((((((1-(26*x))+(265*x**2))-(1330*x**3))+(3340*x**4))-(3432*x**5))/(((6*x)-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((8*x)-1)*((5*x)-1)))] }
-
-
-
-def A084871():
- x = SR.var('x')
- return { 'ogf': [((((((((((((-1)+(80*x))-(2813*x**2))+(57293*x**3))-(749139*x**4))+(6577949*x**5))-(39353597*x**6))+(158972472*x**7))-(417774220*x**8))+(651991536*x**9))-(465379200*x**10))/(((9*x)-1)*((6*x)-1)*((7*x)-1)*((3*x)-1)*((5*x)-1)*((2*x)-1)*((12*x)-1)*((10*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1)))] }
-
-
-
-def A084874():
- x = SR.var('x')
- return { 'ogf': [(-((9*x**2)/(((6*x)-1)*((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A084875():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-1)-(273*x))+(648*x**2)+(24300*x**3)))/(((18*x)-1)*((9*x)-1)*((6*x)-1)*((3*x)-1)*((14*x)-1)*((27*x)-1))))] }
-
-
-
-def A084876():
- x = SR.var('x')
- return { 'ogf': [(-((10*x**3*(((((((-31)-(5173*x))+(663390*x**2))-(16812297*x**3)-(320866029*x**4))+(1.938343932E10*x**5))-(2.4350206716E11*x**6))+(2.5215812568E11*x**7)+(6.8166874188E12*x**8)))/(((6*x)-1)*((54*x)-1)*((42*x)-1)*((3*x)-1)*((9*x)-1)*((27*x)-1)*((31*x)-1)*((26*x)-1)*((18*x)-1)*((81*x)-1)*((36*x)-1)*((14*x)-1))))] }
-
-
-
-def A084879():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(15*x))-(63*x**2))/(((6*x)-1)*((3*x)-1)*((9*x)-1)))] }
-
-
-
-def A084880():
- x = SR.var('x')
- return { 'ogf': [((((((1-(74*x))+(2074*x**2))-(27519*x**3))+(181764*x**4))-(514188*x**5))/(((18*x)-1)*((9*x)-1)*((6*x)-1)*((3*x)-1)*((14*x)-1)*((27*x)-1)))] }
-
-
-
-def A084881():
- x = SR.var('x')
- return { 'ogf': [((((((((((((1-(344*x))+(51428*x**2))-(4415688*x**3))+(242115073*x**4))-(8.897167926E9*x**5))+(2.23317141174E11*x**6))-(3.82745430387E12*x**7))+(4.4109912725856E13*x**8))-(3.31501702734E14*x**9))+(1.522496648595168E15*x**10))-(3.394508914171872E15*x**11))/(((6*x)-1)*((54*x)-1)*((42*x)-1)*((3*x)-1)*((9*x)-1)*((27*x)-1)*((31*x)-1)*((26*x)-1)*((18*x)-1)*((81*x)-1)*((36*x)-1)*((14*x)-1)))] }
-
-
-
-def A084899():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-(2*x))**3)] }
-
-
-
-def A084900():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-(3*x))**3)] }
-
-
-
-def A084901():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-(4*x))**3)] }
-
-
-
-def A084902():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(5*x))**3)] }
-
-
-
-def A084964():
- x = SR.var('x')
- return { 'ogf': [(((2-(2*x))+x**2)/((1-x)*(1-x**2)))] }
-
-
-
-def A084967():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x**2+(4*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A084968():
- x = SR.var('x')
- return { 'ogf': [((7*x*(x**8+(6*x**7)+(4*x**6)+(2*x**5)+(4*x**4)+(2*x**3)+(4*x**2)+(6*x)+1))/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A084969():
- x = SR.var('x')
- return { 'ogf': [((11*x*(x**48+(10*x**47)+(2*x**46)+(4*x**45)+(2*x**44)+(4*x**43)+(6*x**42)+(2*x**41)+(6*x**40)+(4*x**39)+(2*x**38)+(4*x**37)+(6*x**36)+(6*x**35)+(2*x**34)+(6*x**33)+(4*x**32)+(2*x**31)+(6*x**30)+(4*x**29)+(6*x**28)+(8*x**27)+(4*x**26)+(2*x**25)+(4*x**24)+(2*x**23)+(4*x**22)+(8*x**21)+(6*x**20)+(4*x**19)+(6*x**18)+(2*x**17)+(4*x**16)+(6*x**15)+(2*x**14)+(6*x**13)+(6*x**12)+(4*x**11)+(2*x**10)+(4*x**9)+(6*x**8)+(2*x**7)+(6*x**6)+(4*x**5)+(2*x**4)+(4*x**3)+(2*x**2)+(10*x)+1))/((x**49-x**48-x)+1))] }
-
-
-
-def A084990():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**2))/(1-x)**4)] }
-
-
-
-def A085001():
- x = SR.var('x')
- return { 'ogf': [((2*((2+(8*x))-x**2))/(1-x)**3)] }
-
-
-
-def A085026():
- x = SR.var('x')
- return { 'ogf': [(((7+(70*x))-(5*x**2))/(1-x)**3)] }
-
-
-
-def A085027():
- x = SR.var('x')
- return { 'ogf': [(((21+(14*x))-(3*x**2))/(1-x)**3)] }
-
-
-
-def A085046():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+(3*x**2))-x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A085128():
- x = SR.var('x')
- return { 'ogf': [(5/(1-x)**2)] }
-
-
-
-def A085250():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(3*x)))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A085259():
- x = SR.var('x')
- return { 'ogf': [(-(((30*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-x-32)/((x-1)**2*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A085260():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(13*x))+x**2))] }
-
-
-
-def A085268():
- x = SR.var('x')
- return { 'ogf': [((x**34*(x**7+x**6+x**4+x**2+1))/((x-1)**2*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A085278():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+1)**2/((x-1)*((2*x)-1)*(1+x)))] }
-
-
-
-def A085279():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(2*x*x))/((1-(2*x))*(1-(3*x))))] }
-
-
-
-def A085292():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**3)-(3*x**2)-(7*x)-1))/((x**4-(2*x**3)-(7*x**2)-(2*x))+1)))] }
-
-
-
-def A085293():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((2*x**3)-(3*x**2)-(7*x)-1))/((x**4-(2*x**3)-(7*x**2)-(2*x))+1)))] }
-
-
-
-def A085350():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(3*x))*(1-(4*x))))] }
-
-
-
-def A085354():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(4*x))*(1-(2*x))**2))] }
-
-
-
-def A085362():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1-x)/(1-(5*x))))] }
-
-
-
-def A085363():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1-x)/(1-(9*x))))] }
-
-
-
-def A085364():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1-x)/(1-(13*x))))] }
-
-
-
-def A085377():
- x = SR.var('x')
- return { 'ogf': [((2*x*((14+(26*x))-x**2))/(1-x)**4)] }
-
-
-
-def A085385():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(2*x)))/(1-(2*x))**4)] }
-
-
-
-def A085403():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+sqrt(((1-(6*x))+x**2)))/2)] }
-
-
-
-def A085438():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(20*x**3)+(48*x**2)+(20*x)+1))/(x-1)**8)] }
-
-
-
-def A085439():
- x = SR.var('x')
- return { 'ogf': [((x*(x**6+(72*x**5)+(603*x**4)+(1168*x**3)+(603*x**2)+(72*x)+1))/(x-1)**10)] }
-
-
-
-def A085440():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(232*x**7)+(5158*x**6)+(27664*x**5)+(47290*x**4)+(27664*x**3)+(5158*x**2)+(232*x)+1))/(x-1)**12)] }
-
-
-
-def A085441():
- x = SR.var('x')
- return { 'ogf': [((x*(x**10+(716*x**9)+(37257*x**8)+(450048*x**7)+(1822014*x**6)+(2864328*x**5)+(1822014*x**4)+(450048*x**3)+(37257*x**2)+(716*x)+1))/(x-1)**14)] }
-
-
-
-def A085442():
- x = SR.var('x')
- return { 'ogf': [((x*(x**12+(2172*x**11)+(247236*x**10)+(6030140*x**9)+(49258935*x**8)+(163809288*x**7)+(242384856*x**6)+(163809288*x**5)+(49258935*x**4)+(6030140*x**3)+(247236*x**2)+(2172*x)+1))/(x-1)**16)] }
-
-
-
-def A085449():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A085458():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1+x)/(1-(7*x))))] }
-
-
-
-def A085461():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(6*x)+x**2))/(1-x)**6)] }
-
-
-
-def A085462():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(7*x)+x**2))/(1-x)**6)] }
-
-
-
-def A085463():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(6*x**2)+x**3))/(1-x)**6)] }
-
-
-
-def A085464():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2*(1+(10*x)+x**2))/(1-x)**7)] }
-
-
-
-def A085465():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2)**2)/(1-x)**7)] }
-
-
-
-def A085473():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(4*x**2))/(1-x)**3)] }
-
-
-
-def A085474():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x)+(15*x**2)+(5*x**3))/(1-x)**4)] }
-
-
-
-def A085487():
- x = SR.var('x')
- return { 'ogf': [(((10*x**2)+x)/(1-x-(5*x**2)))] }
-
-
-
-def A085490():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(6*x))-x**2))/(1-x)**4)] }
-
-
-
-def A085504():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)+(18*x**2)))/(1-(3*x)-(9*x**2)))] }
-
-
-
-def A085537():
- x = SR.var('x')
- return { 'ogf': [((2*(x**2*(4+(7*x)+x**2)))/(1-x)**5)] }
-
-
-
-def A085538():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x**3+(18*x**2)+(33*x)+8))/(x-1)**6)] }
-
-
-
-def A085539():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x**4+(41*x**3)+(171*x**2)+(131*x)+16))/(x-1)**7))] }
-
-
-
-def A085540():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(4+(7*x)+x**2))/(x-1)**5))] }
-
-
-
-def A085583():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**6-(2*x**5))+x**4+(3*x**3))-x**2-x)+1))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A085584():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-x)**2)/(((1-(3*x))+x**2+(3*x**3))-(3*x**4)))] }
-
-
-
-def A085601():
- x = SR.var('x')
- return { 'ogf': [(-(((5-(22*x))+(20*x**2))/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A085622():
- x = SR.var('x')
- return { 'ogf': [(-(((4*x**5)-(7*x**4)-(6*x**3)-(4*x**2)-(2*x)-1)/((1-x)**3*(1+x))))] }
-
-
-
-def A085624():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(2*x)+x**2+(3*x**3))-(2*x**4)))/((1-x)**2*(1+x+x**2+x**3)))] }
-
-
-
-def A085687():
- x = SR.var('x')
- return { 'ogf': [(8/(1+sqrt((1-(8*x))))**3)] }
-
-
-
-def A085688():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-11)-(8*x)-(6*x**2))+(21*x**3)+(15*x**4)+(11*x**5)))/((x-1)*((2*x**3)-1)*(1+x+x**2))))] }
-
-
-
-def A085689():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((2*x**2)+x+2))/((3*x**3)-1)))] }
-
-
-
-def A085695():
- x = SR.var('x')
- return { 'ogf': [((x-x**3)/((1-(4*x)-(19*x**2)-(4*x**3))+x**4))] }
-
-
-
-def A085697():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-x**3)/(((x**3+x**2+(3*x))-1)*(x**3-x**2-x-1)))] }
-
-
-
-def A085717():
- x = SR.var('x')
- return { 'ogf': [(((x**3-x)+1)/((1-x**5)*(1-x)**2))] }
-
-
-
-def A085740():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5+(2*x))-x**2))/(1-x)**5)] }
-
-
-
-def A085750():
- x = SR.var('x')
- return { 'ogf': [(-(x/(1+(2*x))**2))] }
-
-
-
-def A085786():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x+2))/(x-1)**4)] }
-
-
-
-def A085787():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/((1-x)*(1-x**2)**2))] }
-
-
-
-def A085788():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x+2))/(x-1)**4)] }
-
-
-
-def A085789():
- x = SR.var('x')
- return { 'ogf': [((3*(x+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A085801():
- x = SR.var('x')
- return { 'ogf': [((((((((2*x**12)-x**11)+(2*x**10)+(2*x**9)+x**8)-x**7)+(3*x**6))-x**5)+(3*x**4)+x**3+1)/((x**13-x**12-x)+1))] }
-
-
-
-def A085810():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))+(3*x**2)+x**3))] }
-
-
-
-def A085903():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/((1+x)*(1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A085939():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(4*x)-(6*x**2)))] }
-
-
-
-def A086021():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**6+(54*x**5)+(405*x**4)+(760*x**3)+(405*x**2)+(54*x)+1))/(x-1)**11))] }
-
-
-
-def A086023():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(16*x**3)+(36*x**2)+(16*x)+1))/(x-1)**10)] }
-
-
-
-def A086025():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**4+(24*x**3)+(76*x**2)+(24*x)+1))/(x-1)**12)] }
-
-
-
-def A086026():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**10+(200*x**9)+(5925*x**8)+(52800*x**7)+(182700*x**6)+(273504*x**5)+(182700*x**4)+(52800*x**3)+(5925*x**2)+(200*x)+1))/(x-1)**17))] }
-
-
-
-def A086027():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(36*x)+(225*x**2)+(400*x**3)+(225*x**4)+(36*x**5)+x**6))/(x-1)**14)] }
-
-
-
-def A086028():
- x = SR.var('x')
- return { 'ogf': [((x*(x**12+(324*x**11)+(15606*x**10)+(233300*x**9)+(1424925*x**8)+(4050864*x**7)+(5703096*x**6)+(4050864*x**5)+(1424925*x**4)+(233300*x**3)+(15606*x**2)+(324*x)+1))/(x-1)**20)] }
-
-
-
-def A086029():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**6+(48*x**5)+(393*x**4)+(832*x**3)+(393*x**2)+(48*x)+1))/(x-1)**16)] }
-
-
-
-def A086030():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**14+(490*x**13)+(35623*x**12)+(818300*x**11)+(7917371*x**10)+(37215794*x**9)+(91789005*x**8)+(123519792*x**7)+(91789005*x**6)+(37215794*x**5)+(7917371*x**4)+(818300*x**3)+(35623*x**2)+(490*x)+1))/(x-1)**23))] }
-
-
-
-def A086090():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(3*x**2))/((1-(2*x))*(1-(3*x))**2))] }
-
-
-
-def A086091():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(7*x**2))/((1-(3*x))*(1-(4*x))**2))] }
-
-
-
-def A086092():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+(13*x**2))/((1-(4*x))*(1-(5*x))**2))] }
-
-
-
-def A086093():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(10*x**2))/((1-(3*x))*(1-(4*x))**2))] }
-
-
-
-def A086113():
- x = SR.var('x')
- return { 'ogf': [((6*x*((1+(2*x))-x**2))/(1-x)**4)] }
-
-
-
-def A086114():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*((x**3-(3*x**2))+(3*x)+1))/(x-1)**5))] }
-
-
-
-def A086115():
- x = SR.var('x')
- return { 'ogf': [(-((10*x*(((x**4-(4*x**3))+(6*x**2))-(4*x)-1))/(x-1)**6))] }
-
-
-
-def A086159():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**3)*(1-x**6)))] }
-
-
-
-def A086192():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+(4*x**2)))/((-1)+x+x**2+x**3)))] }
-
-
-
-def A086213():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(18*x**2))/(1-x-x**2-x**3))] }
-
-
-
-def A086223():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((35*x**3)-(46*x**2))+(8*x))-1))/((x-1)*((10*x)-1))))] }
-
-
-
-def A086224():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A086225():
- x = SR.var('x')
- return { 'ogf': [((10-(9*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A086246():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((1-(2*x)-(3*x**2))))/2),
-(((1+x)-sqrt((1-(2*x)-(3*x**2))))/2)] }
-
-
-
-def A086302():
- x = SR.var('x')
- return { 'ogf': [((8*(1+(10*x)+x**2))/(1-x)**5)] }
-
-
-
-def A086341():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))**2/((1+x)*(1-(2*x**2))))] }
-
-
-
-def A086344():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1+((1+sqrt(5))*x))*(1+((1-sqrt(5))*x))))] }
-
-
-
-def A086346():
- x = SR.var('x')
- return { 'ogf': [(((-1)-x)/(((2*x)+1)*(((4*x**2)+(4*x))-1))),
-((1+x)/(1-(2*x)-(12*x**2)-(8*x**3)))] }
-
-
-
-def A086347():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A086348():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(4*x**2))/(1-(2*x)-(12*x**2)-(8*x**3)))] }
-
-
-
-def A086349():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(6*x)+(4*x**2)))/((1+(2*x))*(1-(4*x)-(4*x**2))))] }
-
-
-
-def A086351():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A086405():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-((3-sqrt(3))*x))*(1-((3+sqrt(3))*x)))),
-((1-(2*x))/((1-(6*x))+(6*x**2)))] }
-
-
-
-def A086444():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+(11*x**2))/((1-(2*x))*(1-(3*x))*(1-(5*x))))] }
-
-
-
-def A086445():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1+x)*((1-x)**2*(1-(2*x)))))] }
-
-
-
-def A086456():
- x = SR.var('x')
- return { 'ogf': [((1+x+sqrt(((1-(6*x))+x**2)))/2)] }
-
-
-
-def A086500():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(8*x**3)+(6*x**2)+(8*x)+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A086514():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2+(2*x**3))/(1-x)**4)] }
-
-
-
-def A086570():
- x = SR.var('x')
- return { 'ogf': [((1+x)**3/(1-x)**2)] }
-
-
-
-def A086581():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+x**2)-sqrt(((1-(4*x))+(2*x**2)+x**4)))/(2*x**2))] }
-
-
-
-def A086601():
- x = SR.var('x')
- return { 'ogf': [((((((-1)+x)-(6*x**2))+x**3)-x**4)/(x-1)**5)] }
-
-
-
-def A086604():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(14*x)+(22*x**2)))/((2*x)-1)**4)] }
-
-
-
-def A086605():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)+(37*x**2)))/(1-x)**4)] }
-
-
-
-def A086616():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(6*x))+x**2)))/(2*x*(1-x)))] }
-
-
-
-def A086622():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x)+sqrt(((1-(4*x))+(8*x**3))))/(2*((-x**2)+(2*x**3))))] }
-
-
-
-def A086640():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)+7)*(1+x))/(x-1)**3))] }
-
-
-
-def A086651():
- x = SR.var('x')
- return { 'ogf': [((x+x**2)-((x**3*(((((2+(3*x)+(5*x**3)+(13*x**4))-(57*x**6))+x**7)-x**9-x**10)+(3*x**12)))/((x-1)*((x**2+x)-1)*(x**2-x-1)*((x**4-x**3)+(2*x**2)+x+1)*(((x**4+x**3+(2*x**2))-x)+1))))] }
-
-
-
-def A086652():
- x = SR.var('x')
- return { 'ogf': [(((6+x)-(10*x**2))/(((2*x)-1)*((2*x**2)-1)))] }
-
-
-
-def A086653():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(10*x))+(2*x**2)))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A086663():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(((((4*x**5)-(8*x**4))+(8*x**3))-(4*x**2))+x+1))/(x-1)**2)] }
-
-
-
-def A086689():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(4*x**2)))/(x-1)**6)] }
-
-
-
-def A086755():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(4*x)+x**2))/(x-1)**6)] }
-
-
-
-def A086848():
- x = SR.var('x')
- return { 'ogf': [((x*((((48*x**6)+(34*x**4))-x**3-(113*x**2))+x+42))/((x-1)**3*(x+1)**2*((2*x**2)-1)))] }
-
-
-
-def A086864():
- x = SR.var('x')
- return { 'ogf': [((x**4*((15*x)+1))/(1-(3*x))**5)] }
-
-
-
-def A086871():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-x)*(1-(9*x)))))/(4*x))] }
-
-
-
-def A086901():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/(1-(4*x)-(3*x**2)))] }
-
-
-
-def A086902():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/(1-(7*x)-x**2))] }
-
-
-
-def A086903():
- x = SR.var('x')
- return { 'ogf': [((2-(8*x))/((1-(8*x))+x**2))] }
-
-
-
-def A086905():
- x = SR.var('x')
- return { 'ogf': [((sqrt(((1+(2*x))/(1-(2*x))))-1)/2/x/(1+x))] }
-
-
-
-def A086927():
- x = SR.var('x')
- return { 'ogf': [((2-(10*x))/(1-(10*x)-x**2))] }
-
-
-
-def A086928():
- x = SR.var('x')
- return { 'ogf': [((2-(12*x))/(1-(12*x)-x**2))] }
-
-
-
-def A086950():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)))/(1-(2*x))**3)] }
-
-
-
-def A086951():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/(1-(3*x))**3)] }
-
-
-
-def A086952():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(1-(4*x))**3)] }
-
-
-
-def A086955():
- x = SR.var('x')
- return { 'ogf': [((((1+(4*x))-(3*x**2))+(2*x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A086970():
- x = SR.var('x')
- return { 'ogf': [((((1+(4*x))-(3*x**2))+(2*x**3))/((1+x)*(1-x)**2))] }
-
-
-
-def A086990():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-sqrt((1+(4*x**2))))/(4+(6*x)))] }
-
-
-
-def A087009():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**4)-(2*x**2))+(2*x))-1)/((2*x)-1))] }
-
-
-
-def A087035():
- x = SR.var('x')
- return { 'ogf': [(((x+x**2+(3*x**3))-x**4)/((1-x)**4*(1+x)))] }
-
-
-
-def A087076():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-(2*x))**4)] }
-
-
-
-def A087123():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+(3*x)+x**2))/(((1+x)-x**2)*(1-x-x**2)))] }
-
-
-
-def A087124():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*((1+x)-x**2))/(((1-(3*x))+x**2)*(1-x-x**2)))] }
-
-
-
-def A087125():
- x = SR.var('x')
- return { 'ogf': [(((-x**2)+(5*x))/((1-x)*((1-(10*x))+x**2)))] }
-
-
-
-def A087131():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x))/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A087156():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x))/(1-x)**2)] }
-
-
-
-def A087161():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(((1-(5*x))+(6*x**2))-(2*x**3)))] }
-
-
-
-def A087164():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x)-x**2)+(2*x**3))-x**4)/(((1-(6*x))+(8*x**2))-(3*x**3)))] }
-
-
-
-def A087168():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1+(3*x)+(4*x**2)))] }
-
-
-
-def A087169():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1+(5*x)+(9*x**2)))] }
-
-
-
-def A087170():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1+(7*x)+(16*x**2)))] }
-
-
-
-def A087171():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1+(9*x)+(25*x**2)))] }
-
-
-
-def A087204():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-x)+x**2))] }
-
-
-
-def A087205():
- x = SR.var('x')
- return { 'ogf': [(((4*x)+1)/((-(4*x**2))+(2*x)+1))] }
-
-
-
-def A087206():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(2*x)-(4*x**2))),
-(1/((-(2*x))-(1/((-(2*x))-1))))] }
-
-
-
-def A087211():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-(3*x**2))+(4*x**3))/((1+x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A087215():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(9*x)))/((1-(18*x))+x**2))] }
-
-
-
-def A087265():
- x = SR.var('x')
- return { 'ogf': [((2-(47*x))/((1-(47*x))+x**2))] }
-
-
-
-def A087279():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((2+x)-(2*x**2))+x**3))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A087281():
- x = SR.var('x')
- return { 'ogf': [((2-(29*x))/(1-(29*x)-x**2))] }
-
-
-
-def A087287():
- x = SR.var('x')
- return { 'ogf': [((2-(76*x))/(1-(76*x)-x**2))] }
-
-
-
-def A087288():
- x = SR.var('x')
- return { 'ogf': [((4-(4*x)-(2*x**2))/((1-(2*x)-x**2)+(2*x**3)))] }
-
-
-
-def A087289():
- x = SR.var('x')
- return { 'ogf': [((3-(6*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A087290():
- x = SR.var('x')
- return { 'ogf': [((8*(1-(3*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A087291():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x)))/(1-x)/(1-(2*x))/(1-(4*x)))] }
-
-
-
-def A087292():
- x = SR.var('x')
- return { 'ogf': [(-((24*x*((3*x)+1))/((x-1)*((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A087323():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(4*x)))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A087330():
- x = SR.var('x')
- return { 'ogf': [((5*x*((25*x**2)+(8*x)+3))/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A087348():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(14*x)+x**2))/(1-x)**3)] }
-
-
-
-def A087404():
- x = SR.var('x')
- return { 'ogf': [((2-(4*x))/(1-(4*x)-(5*x**2)))] }
-
-
-
-def A087405():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(2-(4*x)))/(1-(4*x)-(5*x**2)))] }
-
-
-
-def A087423():
- x = SR.var('x')
- return { 'ogf': [(-((32*x*(((6*x**2)-(8*x))+1))/(((4*x)-1)*(((16*x**2)-(28*x))+1))))] }
-
-
-
-def A087424():
- x = SR.var('x')
- return { 'ogf': [(-((81*x*((((26244*x**3)-(15309*x**2))+(1008*x))-7))/((((729*x**2)-(486*x))+1)*(((729*x**2)-(81*x))+1))))] }
-
-
-
-def A087426():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(((9*x**2)-(9*x))+1))] }
-
-
-
-def A087431():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(8*x**2))-(4*x**3))/(1-(2*x))**3)] }
-
-
-
-def A087438():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(3*x**2))/((1-(2*x))**2*(1-(4*x))))] }
-
-
-
-def A087444():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(5*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A087445():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(7*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A087446():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(9*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A087447():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((1-(2*x))+(2*x**2)))/(1-(2*x))**2)] }
-
-
-
-def A087448():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*((1-(4*x))+(5*x**2)))/((1-x)**2*(1-(3*x))**2))] }
-
-
-
-def A087449():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(7*x**2))/((1-x)*(1-(4*x))**2))] }
-
-
-
-def A087451():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1+(2*x))*(1-(3*x))))] }
-
-
-
-def A087452():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1+(3*x))*(1-(4*x))))] }
-
-
-
-def A087453():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(((11*x**2)-(13*x))+1))] }
-
-
-
-def A087475():
- x = SR.var('x')
- return { 'ogf': [(((4-(7*x))+(5*x**2))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A087483():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4-x**3)+x**2+1)/((x-1)**3*(x**2+x+1))))] }
-
-
-
-def A087504():
- x = SR.var('x')
- return { 'ogf': [((1-x**9)/((1-x)*(1-x**4)*(1-x**6)))] }
-
-
-
-def A087507():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)+x**2+x+1)/((x-1)**2*(x**2+x+1)**2))] }
-
-
-
-def A087508():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x**3)**2)] }
-
-
-
-def A087509():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+1))/((x-1)**2*(x**2+x+1)**2))] }
-
-
-
-def A087539():
- x = SR.var('x')
- return { 'ogf': [(((x**3*((1-x)+x**2))*((1-x**2)+x**3))/((1-x)**3*(1+x**3+x**6)))] }
-
-
-
-def A087567():
- x = SR.var('x')
- return { 'ogf': [(1/(((-(19*x**2))-(7*x))+1))] }
-
-
-
-def A087579():
- x = SR.var('x')
- return { 'ogf': [(1/(((-(29*x**2))-(8*x))+1))] }
-
-
-
-def A087584():
- x = SR.var('x')
- return { 'ogf': [(1/(((-(41*x**2))-(9*x))+1))] }
-
-
-
-def A087619():
- x = SR.var('x')
- return { 'ogf': [((2-(137*x))/(1-(137*x)-x**2))] }
-
-
-
-def A087620():
- x = SR.var('x')
- return { 'ogf': [(((3*x**4)+x**3+(2*x**2)+x+1)/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A087621():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x)+1)*(((16*x**2)-(6*x))+1))/(((64*x**4)-(4*x**2))+1)))] }
-
-
-
-def A087626():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(2*x))+sqrt(((1-(4*x))+(4*x**3)))))] }
-
-
-
-def A087627():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(2*x**2))/((x-1)**2*(1+x+x**2)**2))] }
-
-
-
-def A087628():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(2*x)-(2*x**2))+(5*x**3)+(4*x**4))-(8*x**5))/(((2*x)-1)*(1+x)*((4*x**2)+(2*x)+1)*((x**2-x)+1)))] }
-
-
-
-def A087629():
- x = SR.var('x')
- return { 'ogf': [((((4*x**4)-(5*x**3))+(3*x**2)+x+1)/(((-(8*x**6))-(7*x**3))+1)),
-(((((-1)-x-(3*x**2))+(5*x**3))-(4*x**4))/(((2*x)-1)*(1+x)*((4*x**2)+(2*x)+1)*((x**2-x)+1)))] }
-
-
-
-def A087635():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A087640():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x**2))+x**3)/((1-x-(3*x**2))+x**3))] }
-
-
-
-def A087645():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((((x**4-(4*x**3))+(7*x**2))-(2*x))+1))/(x-1)**5))] }
-
-
-
-def A087752():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(49*x)))] }
-
-
-
-def A087798():
- x = SR.var('x')
- return { 'ogf': [((2-(9*x))/(1-(9*x)-x**2))] }
-
-
-
-def A087799():
- x = SR.var('x')
- return { 'ogf': [((2-(10*x))/((1-(10*x))+x**2))] }
-
-
-
-def A087800():
- x = SR.var('x')
- return { 'ogf': [((2-(12*x))/((1-(12*x))+x**2))] }
-
-
-
-def A087811():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)*(1-x)**3))] }
-
-
-
-def A087863():
- x = SR.var('x')
- return { 'ogf': [(((6-(3*x)-(3*x**2))+x**3)/(1-x)**4)] }
-
-
-
-def A087866():
- x = SR.var('x')
- return { 'ogf': [((1-x**15)/((1-x)*(1-x**6)*(1-x**10)))] }
-
-
-
-def A087908():
- x = SR.var('x')
- return { 'ogf': [((x*((x*(((x-1)*x)+7))-1))/(x-1)**4)] }
-
-
-
-def A087935():
- x = SR.var('x')
- return { 'ogf': [((x**4-5)/((x**5+x**4)-1))] }
-
-
-
-def A087936():
- x = SR.var('x')
- return { 'ogf': [((x**5-6)/((x**6+x**5)-1))] }
-
-
-
-def A087940():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3+(2*x**2))-(3*x)-1))/((x-1)*(x+1)*((2*x)-1))))] }
-
-
-
-def A087953():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-x**4)+(2*x**3))-x**2)+(2*x))/((x-1)*(x**2+x+1)*((x**2-(3*x))+1)))] }
-
-
-
-def A087955():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(3*x**2))+x**3)/((1-x-(3*x**2))+x**3))] }
-
-
-
-def A087956():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-(4*x**2))+x**3)/((1-x-(3*x**2))+x**3))] }
-
-
-
-def A087957():
- x = SR.var('x')
- return { 'ogf': [((((1+(3*x))-(5*x**2))+x**3)/((1-x-(3*x**2))+x**3))] }
-
-
-
-def A087958():
- x = SR.var('x')
- return { 'ogf': [((((1+(4*x))-(6*x**2))+x**3)/((1-x-(3*x**2))+x**3))] }
-
-
-
-def A087960():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1+x**2))] }
-
-
-
-def A088013():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(2*x**3))/(((1-(4*x))+(8*x**3))-(4*x**4)))] }
-
-
-
-def A088014():
- x = SR.var('x')
- return { 'ogf': [(((x-2)*((2*x)-1)*(1+x))/(((2*x**2)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A088015():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(3*x**2)+x**3)-(4*x**4))/((1-x)*((1-(2*x)-(3*x**2))+(4*x**3)+(2*x**4)))),
-((((-1)-(3*x**2)-x**3)+(4*x**4)+(3*x))/((x-1)*((2*x**2)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A088016():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(2*x**2))-x**3)/((1-(3*x)-x**2)+x**3))] }
-
-
-
-def A088037():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1)*((((32*x**3)-(56*x**2))+(27*x))-4))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A088038():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((3904*x**5)-(6104*x**4))+(2502*x**3))-(329*x**2))+(56*x))-8))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1))))] }
-
-
-
-def A088039():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((2*x**3)-x**2)+(2*x))-2))/((x-1)*((2*x)-1))))] }
-
-
-
-def A088040():
- x = SR.var('x')
- return { 'ogf': [((x*((((((81920*x**7)-(75776*x**6)-(45184*x**5))+(43696*x**4))-(2840*x**3)-(2530*x**2))+(415*x))-16))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1)))] }
-
-
-
-def A088041():
- x = SR.var('x')
- return { 'ogf': [((x*(((4*x**4)-(2*x**2)-(3*x))+2))/((x-1)*((2*x)-1)))] }
-
-
-
-def A088132():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(4*x))+x**3))] }
-
-
-
-def A088137():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))+(3*x**2)))] }
-
-
-
-def A088138():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))+(4*x**2))),
-(x/((1-(2*x))+(4*x**2)))] }
-
-
-
-def A088139():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))+(6*x**2)))] }
-
-
-
-def A088166():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((((x**7-(7*x**6)-(17*x**4))+(131*x**3))-(6*x**2))+(6*x))-6))/(((x**2-(7*x))+1)*((x**2-(3*x))+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A088210():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x**2))/(1-(2*x)-x**2)**2)] }
-
-
-
-def A088211():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2+(2*x**3))/(1-(2*x)-x**2)**2)] }
-
-
-
-def A088218():
- x = SR.var('x')
- return { 'ogf': [((1+(1/sqrt((1-(4*x)))))/2)] }
-
-
-
-def A088265():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-11)-(13*x)-(17*x**2)-(19*x**3))+(20*x**4)+(40*x**5)+(80*x**6)+(100*x**7)))/((x-1)*(1+x)*(1+x**2)*((10*x**4)-1))))] }
-
-
-
-def A088305():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2)/((1-(3*x))+x**2))] }
-
-
-
-def A088316():
- x = SR.var('x')
- return { 'ogf': [((2-(13*x))/(1-(13*x)-x**2))] }
-
-
-
-def A088317():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(1-(8*x)-x**2))] }
-
-
-
-def A088439():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+(3*x**2))-x**3-x**4))/(1-x**3)**2)] }
-
-
-
-def A088545():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**4-(4*x**3)-(9*x**2))+(6*x)+1))/((x-1)*((x**2-(7*x))+1)*(x**2+(3*x)+1))))] }
-
-
-
-def A088556():
- x = SR.var('x')
- return { 'ogf': [((x*(6-(3*x)-(4*x**2)))/((1-x)*(1+x)*(1-(4*x))))] }
-
-
-
-def A088578():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(4*x**2))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A088582():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(16*x**2))/((1-x)*(1-(4*x))**2))] }
-
-
-
-def A088625():
- x = SR.var('x')
- return { 'ogf': [((14*x**8)/(1-x)**9)] }
-
-
-
-def A088626():
- x = SR.var('x')
- return { 'ogf': [((42*x**10)/(1-x)**11)] }
-
-
-
-def A088662():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(4*x**3))/(2*x**2*(1-(2*x))*sqrt((1-(4*x**2)))))-(1/(2*x**2)))] }
-
-
-
-def A088689():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**3)))/(((((1-x)+x**2)-x**3)+x**4)-x**5))] }
-
-
-
-def A088854():
- x = SR.var('x')
- return { 'ogf': [((-(1/2))+(1/(2*(1-(2*x))*sqrt((1-(4*x))))))] }
-
-
-
-def A088889():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(1+(17*x)+(48*x**2)+(17*x**3)+x**4))/(1-x)**8)] }
-
-
-
-def A088890():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(1+(16*x)+(46*x**2)+(16*x**3)+x**4))/(1-x)**8)] }
-
-
-
-def A088891():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(29*x)+(175*x**2)+(310*x**3)+(175*x**4)+(29*x**5)+x**6))/(1-x)**9)] }
-
-
-
-def A088892():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(1+(276*x)+(11837*x**2)+(145168*x**3)+(638914*x**4)+(1068728*x**5)+(638914*x**6)+(145168*x**7)+(11837*x**8)+(276*x**9)+x**10))/(1-x)**14)] }
-
-
-
-def A088893():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(422*x)+(25888*x**2)+(459134*x**3)+(3137271*x**4)+(9505116*x**5)+(13661136*x**6)+(9505116*x**7)+(3137271*x**8)+(459134*x**9)+(25888*x**10)+(422*x**11)+x**12))/(1-x)**15)] }
-
-
-
-def A088894():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(1+(639*x)+(53880*x**2)+(1249283*x**3)+(10687767*x**4)+(38266494*x**5)+(59151072*x**6)+(38266494*x**7)+(10687767*x**8)+(1249283*x**9)+(53880*x**10)+(639*x**11)+x**12))/(1-x)**16)] }
-
-
-
-def A088911():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-x**6))] }
-
-
-
-def A088920():
- x = SR.var('x')
- return { 'ogf': [((((2*x**2)-(20*x))+2)/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A088921():
- x = SR.var('x')
- return { 'ogf': [((x*(((((2*x**4)-(5*x**3))+(7*x**2))-(4*x))+1))/((1-(2*x))*(1-x)**4))] }
-
-
-
-def A088924():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(19*x))+(90*x**2)))] }
-
-
-
-def A088932():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**2)*(1-x**4)*(1-x**8)))] }
-
-
-
-def A088941():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**3-(4*x**2))+(6*x))-12))/(x-1)**5)] }
-
-
-
-def A088942():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-(5*x**3))+(10*x**2)+(30*x)+60))/(x-1)**6)] }
-
-
-
-def A088943():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4-(5*x**3))+(10*x**2))-(90*x)-60))/(x-1)**6))] }
-
-
-
-def A088945():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5-(6*x**4))+(15*x**3)+(60*x**2)+(270*x)+60))/(x-1)**7))] }
-
-
-
-def A088954():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-x**2)*(1-x**4)*(1-x**8)*(1-x**16)))] }
-
-
-
-def A089010():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**20)*(1-x**24))/((1-x**6)*(1-x**10)))] }
-
-
-
-def A089011():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**12)*(1-x**14))/((1-x**4)*(1-x**6)))] }
-
-
-
-def A089012():
- x = SR.var('x')
- return { 'ogf': [(((1-x**8)*(1-x**9))/((1-x**3)*(1-x**4)))] }
-
-
-
-def A089022():
- x = SR.var('x')
- return { 'ogf': [(4/(1+(3*sqrt((1-(8*x))))))] }
-
-
-
-def A089068():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/((1-x)*(1-x-x**2-x**3)))] }
-
-
-
-def A089071():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**3)/(1-x)**3)] }
-
-
-
-def A089074():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1-(2*x))+x**5))] }
-
-
-
-def A089089():
- x = SR.var('x')
- return { 'ogf': [((x/2)*((1/(1-x-x**2)**2)-(1/(1-x**2-x**4))))] }
-
-
-
-def A089092():
- x = SR.var('x')
- return { 'ogf': [((x/5)*((1/(1-x-x**2)**5)-(1/(1-x**5-x**10))))] }
-
-
-
-def A089093():
- x = SR.var('x')
- return { 'ogf': [((x/6)*(((1/(1-x-x**2)**6)-(1/(1-x**2-x**4)**3)-(1/(1-x**3-x**6)**2))+(1/(1-x**6-x**12))))] }
-
-
-
-def A089094():
- x = SR.var('x')
- return { 'ogf': [((x/7)*((1/(1-x-x**2)**7)-(1/(1-x**7-x**14))))] }
-
-
-
-def A089095():
- x = SR.var('x')
- return { 'ogf': [((x/8)*((1/(1-x-x**2)**8)-(1/(1-x**2-x**4)**4)))] }
-
-
-
-def A089096():
- x = SR.var('x')
- return { 'ogf': [((x/9)*((1/(1-x-x**2)**9)-(1/(1-x**3-x**6)**3)))] }
-
-
-
-def A089097():
- x = SR.var('x')
- return { 'ogf': [((x/10)*(((1/(1-x-x**2)**10)-(1/(1-x**2-x**4)**5)-(1/(1-x**5-x**10)**2))+(1/(1-x**10-x**20))))] }
-
-
-
-def A089098():
- x = SR.var('x')
- return { 'ogf': [((x/2)*((1/(1-x-x**2)**2)+(1/(1-x**2-x**4))))] }
-
-
-
-def A089102():
- x = SR.var('x')
- return { 'ogf': [((x/6)*(((1/(1-x-x**2)**6)+(1/(1-x**2-x**4)**3))-(1/(1-x**3-x**6)**2)-(1/(1-x**6-x**12))))] }
-
-
-
-def A089106():
- x = SR.var('x')
- return { 'ogf': [((x/10)*(((1/(1-x-x**2)**10)+(1/(1-x**2-x**4)**5))-(1/(1-x**5-x**10)**2)-(1/(1-x**10-x**20))))] }
-
-
-
-def A089108():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-(2*x**3)-x)+3))/((1-x**3)*(1-x)**2))] }
-
-
-
-def A089109():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**5-(2*x**4)-(2*x**3))+(6*x**2)+x)-5))/((x-1)**4*(x+1)**2)))] }
-
-
-
-def A089110():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((x**7-(4*x**6))+(8*x**5))-(12*x**4))+(15*x**3))-(13*x**2))+(9*x))-5))/((x-1)**4*(x**2+1)**2)))] }
-
-
-
-def A089111():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((2*x**8)-(8*x**7))+(12*x**6))-(7*x**5)-(2*x**3))+(9*x**2))-(13*x))+8))/((x-1)**5*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A089113():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((2*x**14)-(4*x**13)-(2*x**12))+(6*x**11)+(2*x**10))-(5*x**9)-(8*x**8))+(10*x**7)+(12*x**6))-(6*x**5)-(5*x**4))+(3*x**3)+(4*x**2))-(8*x)-13))/((x-1)**6*(x+1)**3*((x**2-x)+1)*(x**2+x+1)**2)))] }
-
-
-
-def A089115():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((4*x**12)-(24*x**11))+(60*x**10))-(80*x**9))+(59*x**8))-(20*x**7)-(4*x**5))+(25*x**4))-(62*x**3))+(83*x**2))-(61*x))+21))/((x-1)**7*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A089116():
- x = SR.var('x')
- return { 'ogf': [((x/3)*((1/(1-x-x**2)**3)-(1/(1-x**3-x**6))))] }
-
-
-
-def A089117():
- x = SR.var('x')
- return { 'ogf': [((x/4)*((1/(1-x-x**2)**4)-(1/(1-x**2-x**4)**2)))] }
-
-
-
-def A089128():
- x = SR.var('x')
- return { 'ogf': [(((-6)-x-(2*x**2)-(3*x**3)-(2*x**4)-x**5)/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A089134():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((1-x**2)+x**3))/(((1+x+x**2)-x**3)+x**5)))] }
-
-
-
-def A089135():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x**3)+x**4)-x**9)+x**2))/(((1+x**2)-(2*x**4))+x**10))] }
-
-
-
-def A089138():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(9*x))*(1-(18*x))**(1/3)))] }
-
-
-
-def A089154():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x+2))/((x-1)*((x**2+(6*x))-1)))] }
-
-
-
-def A089164():
- x = SR.var('x')
- return { 'ogf': [(((1/2)-(1/x))+(((2-(7*x))+x**2)/(2*x*sqrt(((1-(6*x))+x**2)))))] }
-
-
-
-def A089165():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A089181():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))+(7*x**2)))] }
-
-
-
-def A089197():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**1)/(1-x**2)/(1-x**5)/(1-x**13)/(1-x**34)/(1-x**89))] }
-
-
-
-def A089264():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x-1)**2*((((2*x**3)-(2*x**2))+(6*x))-3))/((2*x)-1)**3)] }
-
-
-
-def A089271():
- x = SR.var('x')
- return { 'ogf': [((1+(18*x))/((1-(2*1*x))*(1-(3*2*x))*(1-(4*3*x))))] }
-
-
-
-def A089272():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1-(2*1*x))*(1-(3*2*x))*(1-(4*3*x))*(1-(5*4*x))))] }
-
-
-
-def A089274():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*1*x))*(1-(3*2*x))*(1-(4*3*x))*(1-(5*4*x))*(1-(6*5*x))))] }
-
-
-
-def A089304():
- x = SR.var('x')
- return { 'ogf': [(((135*x**3)+(7*x**2)+(2*x))/(((10*x**2)-(11*x))+1)**2)] }
-
-
-
-def A089324():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)**2+sqrt(((1-(6*x**2))+x**4))))] }
-
-
-
-def A089351():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**12+x**10+(2*x**9)+(4*x**8)+(2*x**7)+(4*x**6)+(2*x**5)+(4*x**4)+(2*x**3)+x**2+1))/(((-1)+x**4)**2*((-1)+x**3)**2*((-1)+x**2)**2*((-1)+x)**2))] }
-
-
-
-def A089357():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(64*x)))] }
-
-
-
-def A089380():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x))/((1-(2*x))+(3*x**2)+((1-x)*sqrt((1-(2*x)-(3*x**2))))))] }
-
-
-
-def A089499():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(4*x))+x**2))/((x**2-(2*x)-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A089507():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*2*1*x))*(1-(4*3*2*x))))] }
-
-
-
-def A089508():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(6*x))-x**2))/((1-x)*((1-(7*x))+x**2)))] }
-
-
-
-def A089513():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*2*1*x))*(1-(4*3*2*x))*(1-(5*4*3*x))))] }
-
-
-
-def A089514():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*2*1*x))*(1-(4*3*2*x))*(1-(5*4*3*x))*(1-(6*5*4*x))))] }
-
-
-
-def A089518():
- x = SR.var('x')
- return { 'ogf': [((1+(48*x))/((1-(3*2*1*x))*(1-(4*3*2*x))*(1-(5*4*3*x))))] }
-
-
-
-def A089519():
- x = SR.var('x')
- return { 'ogf': [((1+(672*x)+(14400*x**2))/((1-(3*2*1*x))*(1-(4*3*2*x))*(1-(5*4*3*x))*(1-(6*5*4*x))))] }
-
-
-
-def A089574():
- x = SR.var('x')
- return { 'ogf': [((x*(((5+(2*x))-(4*x**2))+x**3))/(x-1)**6)] }
-
-
-
-def A089594():
- x = SR.var('x')
- return { 'ogf': [(-(x/(1+x)**3))] }
-
-
-
-def A089596():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**3)+(3*x**6)+x**8+(6*x**9)+(2*x**11)+(9*x**12)+x**14+(10*x**15)+x**16+(9*x**18)+(2*x**19)+(6*x**21)+x**22+(3*x**24)+(2*x**27)+x**30)/((1-x**5)**2*(1-x**12)**2))] }
-
-
-
-def A089597():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**3)*(1+x**5)*(1+x**7))/((1-x**2)*(1-x**4)*(1-x**6)*(1-x**8))),
-((((((x**4-x**3)+x**2)-x)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1))/((1+x+x**2)*(x**4+1)*(x**2+1)**2*(x-1)**4))] }
-
-
-
-def A089598():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**3)/(1-x**3)**2)] }
-
-
-
-def A089599():
- x = SR.var('x')
- return { 'ogf': [((1+x**5+x**7+x**8+x**10+x**15)/((1-x**2)*(1-x**3)*(1-x**4)*((1-x**6)**2*(1-x**9)))),
-(((((1-x)+x**5)-x**9)+x**10)/((1-x)**2*(1-x**2)*(1-x**4)*(1-x**6)*(1-x**9)*(1+x+x**2)))] }
-
-
-
-def A089660():
- x = SR.var('x')
- return { 'ogf': [((-(x*((2*x**3)+(6*x**2)+(15*x)+2)))/((2*x)-1)**5)] }
-
-
-
-def A089683():
- x = SR.var('x')
- return { 'ogf': [((81*x)/(1-(81*x)))] }
-
-
-
-def A089735():
- x = SR.var('x')
- return { 'ogf': [(4/((1-x)+x**2+sqrt(((1-(2*x)-x**2-(2*x**3))+x**4)))**2)] }
-
-
-
-def A089737():
- x = SR.var('x')
- return { 'ogf': [(2/((((((1-(3*x))+(2*x**2))-(2*x**3))+(2*x**4))-x**5)+((((1-(2*x))+x**2)-x**3)*sqrt(((1-(2*x)-x**2-(2*x**3))+x**4)))))] }
-
-
-
-def A089772():
- x = SR.var('x')
- return { 'ogf': [((2-(199*x))/(1-(199*x)-x**2))] }
-
-
-
-def A089775():
- x = SR.var('x')
- return { 'ogf': [((2-(322*x))/((1-(322*x))+x**2))] }
-
-
-
-def A089817():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(5*x))+x**2)))] }
-
-
-
-def A089830():
- x = SR.var('x')
- return { 'ogf': [((((((1-(3*x))+(6*x**2))-(5*x**3))+(3*x**4))-x**5)/(1-x)**6)] }
-
-
-
-def A089883():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(6*x**2))-(3*x**3))/((1-(3*x))*(1-(2*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A089903():
- x = SR.var('x')
- return { 'ogf': [((x*((45*x**2)+(26*x)+1))/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A089904():
- x = SR.var('x')
- return { 'ogf': [((x*((80*x**2)+(43*x)+3))/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A089905():
- x = SR.var('x')
- return { 'ogf': [((3*x*((5*x)+1)*((7*x)+2))/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A089906():
- x = SR.var('x')
- return { 'ogf': [((10*x*((12*x**2)+(5*x)+1))/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A089907():
- x = SR.var('x')
- return { 'ogf': [((3*x*((40*x**2)+(7*x)+7))/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A089908():
- x = SR.var('x')
- return { 'ogf': [((7*x*(((15*x**2)-x)+4))/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A089909():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((20*x**2)-(11*x))+9))/((x-1)**2*((10*x)-1)**2))] }
-
-
-
-def A089926():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(1-(12*x)-x**2))] }
-
-
-
-def A089928():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((x**2+(2*x))-1)*(x**2+1))))] }
-
-
-
-def A089931():
- x = SR.var('x')
- return { 'ogf': [(-(1/((1+x**2)*((x**2+(3*x))-1))))] }
-
-
-
-def A089932():
- x = SR.var('x')
- return { 'ogf': [((1-x)**5/(((((-1)+(4*x))-(3*x**2))+x**3)*((1-(3*x))+x**2)*((-1)+(2*x))))] }
-
-
-
-def A089947():
- x = SR.var('x')
- return { 'ogf': [((1-x)**9/(((((1-(5*x))+(6*x**2))-(4*x**3))+x**4)*((((-1)+(4*x))-(3*x**2))+x**3)*((1-(3*x))+x**2)*((-1)+(2*x))))] }
-
-
-
-def A090017():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(4*x)-(2*x**2)))] }
-
-
-
-def A090018():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(6*x)-(3*x**2)))] }
-
-
-
-def A090019():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(1-(10*x)))] }
-
-
-
-def A090020():
- x = SR.var('x')
- return { 'ogf': [(-((x*((11*x**2)-(2*x)-1))/((x-1)*((2*x)-1)*((3*x)-1)*((5*x)-1))))] }
-
-
-
-def A090021():
- x = SR.var('x')
- return { 'ogf': [(-((x*((30*x**2)-(9*x)-1))/((x-1)*((2*x)-1)*((3*x)-1)*((6*x)-1))))] }
-
-
-
-def A090023():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((200*x**3)-(136*x**2))+(19*x)+1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((8*x)-1))))] }
-
-
-
-def A090024():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((291*x**3)-(189*x**2))+(25*x)+1))/((x-1)*((2*x)-1)*((3*x)-1)*((5*x)-1)*((9*x)-1))))] }
-
-
-
-def A090040():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(2*x))*(1-(6*x))))] }
-
-
-
-def A090041():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A090168():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+x**3))/((1-x**2-x**3)+x**5))] }
-
-
-
-def A090169():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(5*x**2)+(3*x**3)))/((1-x)**2*(1+(2*x)+(2*x**2)+x**3)))] }
-
-
-
-def A090176():
- x = SR.var('x')
- return { 'ogf': [((1+x**9)/((1-x**4)*(1-x**6)*(1-x**12))),
-((((-1)-x**6)+x**3)/(((1+x**2)-x)*((x**4-x**2)+1)*(1+x)**2*(1+x+x**2)**2*(x**2+1)**2*(x-1)**3))] }
-
-
-
-def A090192():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)+sqrt((1+(4*x**2))))/(2*x))] }
-
-
-
-def A090197():
- x = SR.var('x')
- return { 'ogf': [(((1+(10*x))-(5*x**2))/(x-1)**4)] }
-
-
-
-def A090200():
- x = SR.var('x')
- return { 'ogf': [(((((1+(422*x)+(1297*x**2))-(908*x**3)-(173*x**4))+(85*x**5))-(5*x**6))/(1-x)**7)] }
-
-
-
-def A090223():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**2)*(1+x))/((1-x**5)*(1-x)))] }
-
-
-
-def A090247():
- x = SR.var('x')
- return { 'ogf': [((2-(26*x))/((1-(26*x))+x**2))] }
-
-
-
-def A090248():
- x = SR.var('x')
- return { 'ogf': [((2-(27*x))/((1-(27*x))+x**2))] }
-
-
-
-def A090249():
- x = SR.var('x')
- return { 'ogf': [((2-(28*x))/((1-(28*x))+x**2))] }
-
-
-
-def A090251():
- x = SR.var('x')
- return { 'ogf': [((2-(29*x))/((1-(29*x))+x**2))] }
-
-
-
-def A090281():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+x**3+x**2+x+1))/((x-1)*(x**4+1))))] }
-
-
-
-def A090288():
- x = SR.var('x')
- return { 'ogf': [((2*(((-1)-(2*x))+x**2))/((-1)+x)**3)] }
-
-
-
-def A090297():
- x = SR.var('x')
- return { 'ogf': [((((((42+(210*x))-(556*x**2))+(532*x**3))-(238*x**4))+(42*x**5))/(1-x)**6)] }
-
-
-
-def A090300():
- x = SR.var('x')
- return { 'ogf': [((2-(14*x))/(1-(14*x)-x**2))] }
-
-
-
-def A090301():
- x = SR.var('x')
- return { 'ogf': [((2-(15*x))/(1-(15*x)-x**2))] }
-
-
-
-def A090305():
- x = SR.var('x')
- return { 'ogf': [((2-(16*x))/(1-(16*x)-x**2))] }
-
-
-
-def A090306():
- x = SR.var('x')
- return { 'ogf': [((2-(17*x))/(1-(17*x)-x**2))] }
-
-
-
-def A090307():
- x = SR.var('x')
- return { 'ogf': [((2-(18*x))/(1-(18*x)-x**2))] }
-
-
-
-def A090308():
- x = SR.var('x')
- return { 'ogf': [((2-(19*x))/(1-(19*x)-x**2))] }
-
-
-
-def A090309():
- x = SR.var('x')
- return { 'ogf': [((2-(20*x))/(1-(20*x)-x**2))] }
-
-
-
-def A090310():
- x = SR.var('x')
- return { 'ogf': [((2-(21*x))/(1-(21*x)-x**2))] }
-
-
-
-def A090313():
- x = SR.var('x')
- return { 'ogf': [((2-(22*x))/(1-(22*x)-x**2))] }
-
-
-
-def A090314():
- x = SR.var('x')
- return { 'ogf': [((2-(23*x))/(1-(23*x)-x**2))] }
-
-
-
-def A090316():
- x = SR.var('x')
- return { 'ogf': [((2-(24*x))/(1-(24*x)-x**2))] }
-
-
-
-def A090326():
- x = SR.var('x')
- return { 'ogf': [((x*(((4*x**2)-(3*x))+1))/((x-1)**2*((2*x)-1)*((3*x)-1)))] }
-
-
-
-def A090327():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**3)-(2*x**2)-(2*x))+1))/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A090328():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2+x)-1))/((x-1)**2*((3*x)-1)))] }
-
-
-
-def A090337():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x))/(1-(99*x**2))),
-((x*(1+(11*x)))/(1-(99*x**2)))] }
-
-
-
-def A090344():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(2*x)-(3*x**2))+(4*x**3))))/(2*x**2*(1-x)))] }
-
-
-
-def A090345():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(2*x)-(3*x**2))+(4*x**3))))/(2*x**2))] }
-
-
-
-def A090381():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(7*x**2))/((1-x)**2*(1-x**2)))] }
-
-
-
-def A090390():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-x**2)/((1+x)*((1-(6*x))+x**2)))] }
-
-
-
-def A090391():
- x = SR.var('x')
- return { 'ogf': [((x*(((((71*x**4)-(316*x**3))+(534*x**2))-(408*x))+120))/(x-1)**6)] }
-
-
-
-def A090407():
- x = SR.var('x')
- return { 'ogf': [(((6*x)-1)/(((64*x**2)+(12*x))-1))] }
-
-
-
-def A090409():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x)/((1+x)*((8*x)-1)))] }
-
-
-
-def A090411():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(16*x)))] }
-
-
-
-def A090448():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**3+(17*x**2)+(33*x)+9))/(x-1)**7))] }
-
-
-
-def A090449():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x**6+(109*x**5)+(1435*x**4)+(4735*x**3)+(4780*x**2)+(1444*x)+96))/(x-1)**11))] }
-
-
-
-def A090453():
- x = SR.var('x')
- return { 'ogf': [((((2+(6*x))-(9*x**2))+(3*x**3))/(1-x)**5)] }
-
-
-
-def A090454():
- x = SR.var('x')
- return { 'ogf': [((((15-(24*x**2))+(18*x**3))-(4*x**4))/(1-x)**7)] }
-
-
-
-def A090491():
- x = SR.var('x')
- return { 'ogf': [((1+x**3+x**4+x**5+x**6+x**9)/((1-x)*(1-x**2)**2*(1-x**3)*(1-x**4))),
-((((((-1)+x)-x**2-x**6)+x**7)-x**8-x**4)/((1+x+x**2)*(x**2+1)*(1+x)**2*(x-1)**5))] }
-
-
-
-def A090492():
- x = SR.var('x')
- return { 'ogf': [((1+x**10)/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**5))),
-(((1-x**2-x**6)+x**4+x**8)/((1+x+x**2)*(1+x+x**3+x**2+x**4)*(1+x)**2*(x-1)**4))] }
-
-
-
-def A090570():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(8*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A090579():
- x = SR.var('x')
- return { 'ogf': [(((x-x**10)/(1-x))*((1-x**10)/(1-x))**3)] }
-
-
-
-def A090591():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))+(8*x**2)))] }
-
-
-
-def A090592():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(7*x)))/((1-(2*x))+(7*x**2)))] }
-
-
-
-def A090596():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x**2)-x**3-x**4)*x**3)/((1-(2*x))*(1+x)*(1-(2*x**2))*(1+x**2)))] }
-
-
-
-def A090597():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((-1)+x**2+(3*x**4)+(2*x**3)))/(((2*x)-1)*(1+x)*((2*x**2)-1)*(1+x**2))))] }
-
-
-
-def A090667():
- x = SR.var('x')
- return { 'ogf': [((((((((896*x**6)-(1968*x**5))+(1704*x**4))-(757*x**3))+(179*x**2))-(21*x))+1)/(((2*x)-1)**3*((4*x)-1)**2*((8*x)-1)))] }
-
-
-
-def A090692():
- x = SR.var('x')
- return { 'ogf': [((2*((x**2-(9*x))+15))/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A090727():
- x = SR.var('x')
- return { 'ogf': [((2-(16*x))/((1-(16*x))+x**2))] }
-
-
-
-def A090728():
- x = SR.var('x')
- return { 'ogf': [((2-(20*x))/((1-(20*x))+x**2))] }
-
-
-
-def A090729():
- x = SR.var('x')
- return { 'ogf': [((2-(21*x))/((1-(21*x))+x**2))] }
-
-
-
-def A090730():
- x = SR.var('x')
- return { 'ogf': [((2-(22*x))/((1-(22*x))+x**2))] }
-
-
-
-def A090731():
- x = SR.var('x')
- return { 'ogf': [((2-(23*x))/((1-(23*x))+x**2))] }
-
-
-
-def A090732():
- x = SR.var('x')
- return { 'ogf': [((2-(24*x))/((1-(24*x))+x**2))] }
-
-
-
-def A090733():
- x = SR.var('x')
- return { 'ogf': [((2-(25*x))/((1-(25*x))+x**2))] }
-
-
-
-def A090771():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A090772():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(3*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A090773():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+x+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A090809():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x**2))/(1-x)**5)] }
-
-
-
-def A090826():
- x = SR.var('x')
- return { 'ogf': [((1-(1-(4*x))**(1/2))/(2*(1-x-x**2)))] }
-
-
-
-def A090843():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*(1-(10*x))))] }
-
-
-
-def A090948():
- x = SR.var('x')
- return { 'ogf': [(((((159-(436*x))+(475*x**2))-(240*x**3))+(47*x**4))/(1-x)**6)] }
-
-
-
-def A090965():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(8*x))+(4*x**2)))] }
-
-
-
-def A090989():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+(3*x)))/(1-(2*x**2)))] }
-
-
-
-def A090990():
- x = SR.var('x')
- return { 'ogf': [((x*((5+(4*x))-(3*x**2)))/((1-x-(2*x**2))+x**3))] }
-
-
-
-def A090991():
- x = SR.var('x')
- return { 'ogf': [(((6*x)+(4*x**2))/(1-x-x**2))] }
-
-
-
-def A090992():
- x = SR.var('x')
- return { 'ogf': [((x*((7+(6*x))-(10*x**2)-(4*x**3)))/((1-x)*(1-(3*x**2)-x**3)))] }
-
-
-
-def A090993():
- x = SR.var('x')
- return { 'ogf': [((2*x*(4+(7*x)))/(1-(3*x**2)))] }
-
-
-
-def A090995():
- x = SR.var('x')
- return { 'ogf': [((2*x*((5+(4*x))-(3*x**2)))/((1-x-(2*x**2))+x**3))] }
-
-
-
-def A091000():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(2*x**2))/((1-x)*(1+(2*x))*(1-(3*x))))] }
-
-
-
-def A091001():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/((1-x)*(1+(2*x))*(1-(3*x))))] }
-
-
-
-def A091002():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1+(2*x))*(1-(3*x))))] }
-
-
-
-def A091024():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x)-(3*x**2))+x**3+x**4))] }
-
-
-
-def A091026():
- x = SR.var('x')
- return { 'ogf': [((((((5+(69*x))-(75*x**2)-(20*x**3))+(60*x**4))-(30*x**5))+(5*x**6))/(1-x)**9)] }
-
-
-
-def A091027():
- x = SR.var('x')
- return { 'ogf': [(((((((63+(217*x))-(462*x**2))+(225*x**3)+(80*x**4))-(120*x**5))+(45*x**6))-(6*x**7))/(1-x)**11)] }
-
-
-
-def A091030():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(13*x))*(1-x)))] }
-
-
-
-def A091045():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(17*x))*(1-x)))] }
-
-
-
-def A091052():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1)*(1+(2*x))**2)/((x-1)*((4*x)-1)*((4*x)+1)*(1+x))))] }
-
-
-
-def A091074():
- x = SR.var('x')
- return { 'ogf': [(((12*x)+(55*x**2))/(1-x-x**2))] }
-
-
-
-def A091084():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)+(5*x**3)))/(1-x**4))] }
-
-
-
-def A091085():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2)+(2*x**3)+(5*x**4))/(1-x**4))] }
-
-
-
-def A091086():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(5*x**2)))/(1-x**4))] }
-
-
-
-def A091135():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(2*x))**3*(1-x)**3))] }
-
-
-
-def A091143():
- x = SR.var('x')
- return { 'ogf': [(1/(((4*x)-1)*((8*x**2)-1)))] }
-
-
-
-def A091147():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)+sqrt((1-(2*x)-(15*x**2)))))] }
-
-
-
-def A091148():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)+sqrt((1-(2*x)-(19*x**2)))))] }
-
-
-
-def A091149():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)+sqrt((1-(2*x)-(23*x**2)))))] }
-
-
-
-def A091281():
- x = SR.var('x')
- return { 'ogf': [(-((((8*x**2)+(10*x))-1)/(((15*x)-1)*((24*x**2)-1))))] }
-
-
-
-def A091307():
- x = SR.var('x')
- return { 'ogf': [((2*x*((3+(5*x))-(10*x**2)))/((1-x)*(1-(2*x))))] }
-
-
-
-def A091337():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/(1+x**4))] }
-
-
-
-def A091423():
- x = SR.var('x')
- return { 'ogf': [(((1+x**9)*(1+x**15))/((1-x**3)*(1-x**5)*(1-x**8)*(1-x**12))),
-((((1-x)+x**2)*((((x**4-x**3)+x**2)-x)+1)*((x**6-x**3)+1)*(((x**8+x**7)-x**5-x**4-x**3)+x+1))/((x**4+x**3+x**2+x+1)*((x**4-x**2)+1)*(x**4+1)*(x**2+1)**2*(1+x+x**2)**2*(x-1)**4))] }
-
-
-
-def A091434():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((1-(2*x))+x**2+x**4)-x**5)+x**8)-x**9)+x**10)-x**11)+x**12)-x**13)+x**14)-x**17)+x**18+x**20)-(2*x**21))+x**22)/((1-x)**7*(1+x)**3*(1+x**2)*((1-x)+x**2)**2*(1+x+x**2)**4*((1-x**2)+x**4)*(1+x**3+x**6))),
-((((((-x**38)-x**33-x**31-x**29-(2*x**28)-x**27-x**26-x**24-x**23)+x**20)-x**18)+x**15+x**14+x**12+x**11+(2*x**10)+x**9+x**7+x**5+1)/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**6)**2*(1-x**8)*(1-x**9)*(1-x**12)))] }
-
-
-
-def A091484():
- x = SR.var('x')
- return { 'ogf': [((x*((((((6*x**7)-(4*x**6))+(17*x**5))-(12*x**4))+(3*x**3))-(5*x**2)-1))/(((x**2+x)-1)*(x**4+(3*x**2)+1)))] }
-
-
-
-def A091498():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**5)/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)))] }
-
-
-
-def A091520():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x))*sqrt((1+(4*x))))),
-(1/((1-(4*x))*sqrt((1+(4*x)))))] }
-
-
-
-def A091561():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt((((1-(4*x))+(4*x**2))-(4*x**3))))/(2*x**2))] }
-
-
-
-def A091565():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((((1-(2*x))+x**2)-(8*x**3))))/(4*x**2))] }
-
-
-
-def A091571():
- x = SR.var('x')
- return { 'ogf': [((7/(1-x)**2)+((2*(1-x**15))/((1-x**6)*(1-x**10)*(1-x))))] }
-
-
-
-def A091574():
- x = SR.var('x')
- return { 'ogf': [((5+(8*x)+(5*x**2))/(1-x**2)**2)] }
-
-
-
-def A091628():
- x = SR.var('x')
- return { 'ogf': [((x*(23-(30*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A091629():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(1-(2*x)))] }
-
-
-
-def A091650():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-(2*x**2)-x**3))/((1-(2*x)-(3*x**2))+x**3+x**4))] }
-
-
-
-def A091684():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(2*x**3)+(2*x)+1))/((x**2+x+1)**2*(x-1)**2))] }
-
-
-
-def A091685():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*((((x**8-x**6)+(6*x**4))-x**2)+1))/((x-1)**2*(1+x)**2*(1+x+x**2)**2*((x**2-x)+1)**2))] }
-
-
-
-def A091691():
- x = SR.var('x')
- return { 'ogf': [(((1+(133*x**2))-(121*x**3)-(22*x))/(((10*x)-1)**2*(x-1)**2))] }
-
-
-
-def A091692():
- x = SR.var('x')
- return { 'ogf': [((x*((10-(99*x))+(80*x**2)))/(((10*x)-1)**2*(x-1)**2))] }
-
-
-
-def A091693():
- x = SR.var('x')
- return { 'ogf': [((((1-(20*x))+(120*x**2))-(110*x**3))/(((10*x)-1)**2*(x-1)**2))] }
-
-
-
-def A091701():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-(4*x)-(3*x**2))+(2*x**3)+x**4))] }
-
-
-
-def A091702():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-(3*x)-(2*x**2))+(2*x**3)+x**4))] }
-
-
-
-def A091703():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(4*x**5)+(3*x**6)+(2*x**7)+x**8))/((x-1)**2*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A091712():
- x = SR.var('x')
- return { 'ogf': [((((1+(10*x))-(2*x**2))+(1-(4*x))**(3/2))/2)] }
-
-
-
-def A091726():
- x = SR.var('x')
- return { 'ogf': [((x**50+x**45+x**43+x**42+x**41+(2*x**40)+(2*x**39)+(2*x**38)+(2*x**37)+(3*x**36)+(3*x**35)+(3*x**34)+(3*x**33)+(4*x**32)+(4*x**31)+(4*x**30)+(5*x**29)+(5*x**28)+(5*x**27)+(5*x**26)+(6*x**25)+(5*x**24)+(5*x**23)+(5*x**22)+(5*x**21)+(4*x**20)+(4*x**19)+(4*x**18)+(3*x**17)+(3*x**16)+(3*x**15)+(3*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+x**9+x**8+x**7+x**5+1)/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**6)**2*(1-x**8)*(1-x**9)*(1-x**12)*(1-x**10)*(1-x**15)))] }
-
-
-
-def A091761():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(34*x))+x**2))] }
-
-
-
-def A091770():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*((((((((((x**15-x**14)+x**13)-x**12)+x**11)-x**9)+x**8+x**7+(2*x**6)+(2*x**4))-x**3)+(2*x**2))-x)+1))/((x**7-1)*(x**6-1)*(x**3-1)*(x**4-1)))] }
-
-
-
-def A091773():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*(x**4+1))/((x-1)**5*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A091774():
- x = SR.var('x')
- return { 'ogf': [((((((x**4-x**3)+x**2)-x)+1)*(x**4+1))/((x-1)**6*(x**2+x+1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A091775():
- x = SR.var('x')
- return { 'ogf': [(x*((16/(1-(16*x)))+(9/(1-(9*x)))+(4/(1-(4*x)))+(1/(1-x))))] }
-
-
-
-def A091778():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+1)*((((x**4-x**3)+x**2)-x)+1)*((x**4-x**2)+1)*(x**4+1))/((x-1)**7*(x**2+x+1)**2*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A091779():
- x = SR.var('x')
- return { 'ogf': [((((((x**4-x**3)+x**2)-x)+1)*((x**4-x**2)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1))/((x-1)**8*(x**2+x+1)**2*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A091823():
- x = SR.var('x')
- return { 'ogf': [((x*((4+x)-x**2))/(1-x)**3)] }
-
-
-
-def A091870():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(11*x**2)))] }
-
-
-
-def A091928():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(6*x)-(5*x**2)))] }
-
-
-
-def A091940():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+(4*x)+(7*x**2)))/(1-x)**5)] }
-
-
-
-def A091962():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(31*x)+(187*x**2)+(330*x**3)+(187*x**4)+(31*x**5)+x**6))/(1-x)**11)] }
-
-
-
-def A091964():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(3*x))+x**2+sqrt(((1-(2*x)-x**2-(2*x**3))+x**4))))] }
-
-
-
-def A091971():
- x = SR.var('x')
- return { 'ogf': [(((1+x**3)*(1+x**5)*(1+x**6))/((1-x**4)*(1-x**5)*(1-x**6))),
-(-((((((x**4-x**3)+x**2)-x)+1)*((x**4-x**2)+1))/((1+x+x**2)*(x**4+x**3+x**2+x+1)*(x-1)**3)))] }
-
-
-
-def A091972():
- x = SR.var('x')
- return { 'ogf': [((1+x**5)/((1-x**3)*(1-x**4))),
-(((1-x**3-x)+x**2+x**4)/((x**2+1)*(1+x+x**2)*(x-1)**2))] }
-
-
-
-def A091973():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+(3*x**3)+(2*x**4)+(4*x**5)+(5*x**6)+(4*x**7)+(5*x**8)+(4*x**9)+(2*x**10)+(3*x**11)+x**12+x**14)/((1-x**4)*(1-x**6)*(1-x**7))),
-((((((-1)-(2*x**2)-x**5-x**10)+x)-(2*x**4)-(2*x**6)-(2*x**8))+x**9)/((1+x+x**2)*(x**6+x**5+x**4+x**3+x**2+x+1)*(1+x**2)*(x-1)**3))] }
-
-
-
-def A091998():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A091999():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(4*x)+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A092055():
- x = SR.var('x')
- return { 'ogf': [(-((((20*x**2)-(10*x))+1)/(((2*x)-1)*((4*x)-1)*((8*x)-1))))] }
-
-
-
-def A092076():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x**3)+x**6)/((1-x)*(1-x**3)**2))] }
-
-
-
-def A092086():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(36*x))**(-(1/6)))/(7-(1-(36*x))**(-(1/6))))] }
-
-
-
-def A092091():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2)+(4*x**3)+x**4)/((1-x)**4*(1-x**2)**5)),
-((((-1)+x)-(3*x**2)-x**3)/((1+x)**4*(x-1)**9))] }
-
-
-
-def A092092():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**3))/((x-1)**2*(1+x+x**2)**2))] }
-
-
-
-def A092093():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**6)+x**5+(3*x**3)+x**2+(2*x)+1))/((x-1)**2*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A092094():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((6*x**6)-(3*x**5)-(2*x**4)-(13*x**3))+(6*x**2)+(5*x)+7))/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A092096():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*(((10*x**10)-(5*x**9)-(3*x**7)-x**6-(21*x**5))+(10*x**4)+(8*x**2)+x+11))/((x-1)**3*(x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A092098():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(11*x**2)+x**3+(6*x**4)))/(1-x)**3/(1+x)**2)] }
-
-
-
-def A092135():
- x = SR.var('x')
- return { 'ogf': [(-((216*x**2*((8*x)-5))/(((18*x)-1)**2*(((12*x**2)-(118*x))+1))))] }
-
-
-
-def A092164():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)))/((1+x)*(1-(6*x))))] }
-
-
-
-def A092165():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1+x)*(1-(6*x))))] }
-
-
-
-def A092166():
- x = SR.var('x')
- return { 'ogf': [(-((5*x)/((x+1)*((6*x)-1))))] }
-
-
-
-def A092167():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+(3*x)))/((1+x)*(1-(6*x))))] }
-
-
-
-def A092181():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(19*x)+(43*x**2)+(9*x**3)))/(1-x)**5)] }
-
-
-
-def A092182():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(115*x)+(357*x**2)+(107*x**3)))/(1-x)**5)] }
-
-
-
-def A092183():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(595*x)+(1993*x**2)+(543*x**3)))/(1-x)**5)] }
-
-
-
-def A092184():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(((1-(5*x))+(5*x**2))-x**3))] }
-
-
-
-def A092185():
- x = SR.var('x')
- return { 'ogf': [((x*((6-(2*x))+x**2))/(x-1)**4)] }
-
-
-
-def A092202():
- x = SR.var('x')
- return { 'ogf': [((x+x**2)/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A092220():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1-x**3))/(1-x**6))] }
-
-
-
-def A092236():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(4*x**2))/((1-(3*x))*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A092242():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(2*x)+(5*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A092259():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A092278():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**11+x**6+1))/((x**17-x**16-x)+1))] }
-
-
-
-def A092279():
- x = SR.var('x')
- return { 'ogf': [(-(((4*x**16)-x**14-x**12-x**10-x**7-x**5-x**3-5)/((x**17-x**16-x)+1)))] }
-
-
-
-def A092286():
- x = SR.var('x')
- return { 'ogf': [((x*((6-(8*x))+(3*x**2)))/(1-x)**4)] }
-
-
-
-def A092352():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**3))/((1-x)**2*(1-x**3)**2))] }
-
-
-
-def A092353():
- x = SR.var('x')
- return { 'ogf': [((1+x**3)/((1-x)**2*(1-x**3)**2))] }
-
-
-
-def A092364():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(4+(7*x)+x**2))/(x-1)**5))] }
-
-
-
-def A092365():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(6*x**2)+(2*x**3)))/(1-x)**5)] }
-
-
-
-def A092387():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5-(11*x))+(4*x**2)))/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A092414():
- x = SR.var('x')
- return { 'ogf': [((8*x**2*(((1440*x**2)+(24*x))-1))/(((48*x)-1)*((50*x)-1)*((54*x)-1)*((60*x)-1)*((64*x)-1)))] }
-
-
-
-def A092420():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(10*x))+(10*x**2))-x**3))] }
-
-
-
-def A092431():
- x = SR.var('x')
- return { 'ogf': [((x*((-2)+(5*x)))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A092439():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(((((6*x**4)-(26*x**3))+(25*x**2))-(12*x))+3))/((x-1)**3*(x+1)*((2*x)-1)**2*((3*x)-1)))] }
-
-
-
-def A092440():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**2)-(2*x))+1)/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A092441():
- x = SR.var('x')
- return { 'ogf': [(-(((((8*x**4)-(2*x**2))+x)-1)/((x-1)**3*((2*x)-1)**2*((4*x)-1))))] }
-
-
-
-def A092442():
- x = SR.var('x')
- return { 'ogf': [((x*((((4*x**3)-(3*x**2))+(2*x))-1))/(((2*x)-1)**2*(x-1)**3))] }
-
-
-
-def A092444():
- x = SR.var('x')
- return { 'ogf': [(((1-(11*x))+(7*x**2))/((1-x)*((1-(11*x))+x**2)))] }
-
-
-
-def A092464():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(5*x)+(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A092476():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(6*x**2)+(4*x**3)))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A092486():
- x = SR.var('x')
- return { 'ogf': [(((3-(4*x))+(3*x**2))/((1+x**2)*(1-x)**2))] }
-
-
-
-def A092493():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(2*x))+x**2)-x**3-x**4))/((((1-(4*x))+(4*x**2))-(3*x**3)-x**4)+x**5))] }
-
-
-
-def A092498():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2))/((1-x)**3*(1-x**3)))] }
-
-
-
-def A092499():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(21*x))+x**2))] }
-
-
-
-def A092508():
- x = SR.var('x')
- return { 'ogf': [((1+x**18)/((1-x)*(1-x**4)*(1-x**8)*(1-x**12))),
-(((1-x**6)+x**12)/((1+x+x**2)*((1-x)+x**2)*(x**4+1)*(x**2+1)**2*(1+x)**3*(x-1)**4))] }
-
-
-
-def A092521():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(8*x))+(8*x**2))-x**3))] }
-
-
-
-def A092531():
- x = SR.var('x')
- return { 'ogf': [(((1+x**4+x**8)-x**2-x**6)/((1+x**4)*(1+x**2)**2*(1+x)**3*(1-x)**4))] }
-
-
-
-def A092532():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**4)*(1-x**8)))] }
-
-
-
-def A092533():
- x = SR.var('x')
- return { 'ogf': [((1+x**8)/((1-x)*(1-x**4)))] }
-
-
-
-def A092534():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2+x**4)*(1+x**4))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A092535():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)*(1+x**3))/((1-x)*(1-x**2))),
-(1+x+(3*x**2)+(((4-(2*x))*x**3)/(1-x)**2))] }
-
-
-
-def A092549():
- x = SR.var('x')
- return { 'ogf': [((1+x**5+x**8+x**13)/((1-x)*(1-x**2)**2*(1-x**4)**2*(1-x**6))),
-((((((x**4-x**3)+x**2)-x)+1)*(x**8+1))/((x-1)**6*(x+1)**4*((x**2-x)+1)*(x**2+1)**2*(x**2+x+1)))] }
-
-
-
-def A092550():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**2+x**4))/((-1)+(2*x**3)+x**6)))] }
-
-
-
-def A092794():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x)+1))/(((4*x)-1)*((5*x)-1)*((8*x)-1))))] }
-
-
-
-def A092795():
- x = SR.var('x')
- return { 'ogf': [((x*(((318*x**3)+(187*x**2))-(24*x)-1))/(((5*x)-1)*((6*x)-1)*((7*x)-1)*((9*x)-1)*((16*x)-1)))] }
-
-
-
-def A092796():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((132960*x**5)+(145292*x**4))-(17528*x**3)-(1227*x**2))+(122*x)+1))/(((6*x)-1)*((7*x)-1)*((8*x)-1)*((10*x)-1)*((11*x)-1)*((17*x)-1)*((32*x)-1))))] }
-
-
-
-def A092797():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((5.48884512E10*x**9)+(5.570605224E10*x**8))-(1.4450714964E10*x**7)-(624924*x**6))+(247511131*x**5))-(22659769*x**4))+(564934*x**3)+(10694*x**2))-(461*x)-1))/(((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((11*x)-1)*((12*x)-1)*((15*x)-1)*((18*x)-1)*((19*x)-1)*((33*x)-1)*((64*x)-1)))] }
-
-
-
-def A092808():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1+x)*(1-(2*x))*(1+(2*x))))] }
-
-
-
-def A092810():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(9*x)))] }
-
-
-
-def A092812():
- x = SR.var('x')
- return { 'ogf': [(((1-(16*x))+(24*x**2))/((1-(4*x))*(1-(16*x))))] }
-
-
-
-def A092841():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(4*x**2))/(((1-(7*x))+(14*x**2))-(8*x**3)))] }
-
-
-
-def A092880():
- x = SR.var('x')
- return { 'ogf': [(-((((14*x**2)-(7*x))+1)/(((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A092881():
- x = SR.var('x')
- return { 'ogf': [(-(((((((4752*x**5)-(3852*x**4))+(1396*x**3))-(269*x**2))+(26*x))-1)/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((8*x)-1))))] }
-
-
-
-def A092882():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((1159418880*x**10)-(1168935552*x**9))+(583922688*x**8))-(190907480*x**7))+(43558356*x**6))-(6961978*x**5))+(771571*x**4))-(58030*x**3))+(2824*x**2))-(80*x))+1)/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((12*x)-1)*((16*x)-1))))] }
-
-
-
-def A092886():
- x = SR.var('x')
- return { 'ogf': [(x/((x**4-x**3-(2*x**2)-x)+1))] }
-
-
-
-def A092896():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(4*x**2))-(4*x**3))/((1-x)*(1-(4*x))))] }
-
-
-
-def A092936():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*x)/((1-(10*x)-(10*x**2))+x**3))] }
-
-
-
-def A092942():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(x**3-(2*x**2)-1))/((x-1)**2*(1+x+x**2)**2)))] }
-
-
-
-def A092966():
- x = SR.var('x')
- return { 'ogf': [(((10*x)+(12*x**2)+x**3)/(x-1)**4)] }
-
-
-
-def A093005():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A093033():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(55*x)+(34*x**2)+x**3))/(1-x)**4)] }
-
-
-
-def A093040():
- x = SR.var('x')
- return { 'ogf': [((((1+x)/(1-x-x**2))+((1-x**2)/(1-x**3)))/2)] }
-
-
-
-def A093042():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/(((1+x)-x**2)*(1-(2*x)-(4*x**2))))] }
-
-
-
-def A093043():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)))/(((1+x)-x**2)*(1-(2*x)-(4*x**2))))] }
-
-
-
-def A093044():
- x = SR.var('x')
- return { 'ogf': [((1-x-(5*x**2)-(2*x**3))/(((1+x)-x**2)*(1-(2*x)-(4*x**2))))] }
-
-
-
-def A093045():
- x = SR.var('x')
- return { 'ogf': [((2*(x**2*(1+x)))/(((1+x)-x**2)*(1-(2*x)-(4*x**2))))] }
-
-
-
-def A093069():
- x = SR.var('x')
- return { 'ogf': [(-((x*((7-(26*x))+(16*x**2)))/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A093103():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(8*x)-(21*x**2)))] }
-
-
-
-def A093112():
- x = SR.var('x')
- return { 'ogf': [((x*(((16*x**2)-(14*x))+1))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A093121():
- x = SR.var('x')
- return { 'ogf': [((1-x-(3*x**2))/(((1+x)-x**2)*(1-(2*x)-(4*x**2))))] }
-
-
-
-def A093122():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(((1+x)-x**2)*(1-(2*x)-(4*x**2))))] }
-
-
-
-def A093123():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A093128():
- x = SR.var('x')
- return { 'ogf': [(1+(((1+x)*(1-(2*x)-x**3-(((1-(3*x))+x**2)*(1-x)*(1-x**3))**(1/2)))/(2*x**4)))] }
-
-
-
-def A093129():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A093130():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A093131():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A093132():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A093133():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A093134():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/(1-(7*x)-(8*x**2)))] }
-
-
-
-def A093144():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(20*x))+(50*x**2)))] }
-
-
-
-def A093145():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A093146():
- x = SR.var('x')
- return { 'ogf': [((1-(15*x))/((1-(20*x))+(50*x**2)))] }
-
-
-
-def A093147():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(20*x))+(50*x**2)))] }
-
-
-
-def A093148():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+(3*x**3))/(1-x**4))] }
-
-
-
-def A093178():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)+x**3)/(1-x**2)**2)] }
-
-
-
-def A093196():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(20*x)+(70*x**2)+(20*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A093198():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x)+x**2)*(1+(4*x)+x**2))/((1+x)*(1-x)**5))] }
-
-
-
-def A093328():
- x = SR.var('x')
- return { 'ogf': [(((3-(4*x))+(5*x**2))/(1-x)**3)] }
-
-
-
-def A093357():
- x = SR.var('x')
- return { 'ogf': [(((4*x)-(4*x**2))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A093361():
- x = SR.var('x')
- return { 'ogf': [(((((1+(2*x)+x**2)-(2*x**3))+(7*x**4))-x**6)/((1+x)**3*(x-1)**4))] }
-
-
-
-def A093374():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1-(3*x))+(2*x**2)+x**3))/(1-(2*x))**4)] }
-
-
-
-def A093387():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x**2))))**2/(4*x*(1-(2*x))))] }
-
-
-
-def A093390():
- x = SR.var('x')
- return { 'ogf': [(x**7/((x**6+x**3+1)*(x-1)**2))] }
-
-
-
-def A093391():
- x = SR.var('x')
- return { 'ogf': [(x**13/((1+x**4)*(x**8+1)*(x-1)**2))] }
-
-
-
-def A093392():
- x = SR.var('x')
- return { 'ogf': [(x**21/((x-1)**2*(x**20+x**15+x**10+x**5+1)))] }
-
-
-
-def A093393():
- x = SR.var('x')
- return { 'ogf': [((x**3*((2*x**6)+x**4+x**3+1))/((x**2+1)*(x**6+x**3+1)*(x-1)**2))] }
-
-
-
-def A093406():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**3+(5*x**2))-x)+1))/((((x**4+(4*x**3))-(6*x**2))+(4*x))-1)))] }
-
-
-
-def A093467():
- x = SR.var('x')
- return { 'ogf': [(x-((x**2*((2*x)-1)*(x-2))/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A093485():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x)+(10*x**2))/(1-x)**3)] }
-
-
-
-def A093500():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(3*x)+x**2))/(1-x)**3)] }
-
-
-
-def A093509():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((((((5-(4*x))+(8*x**2))-(6*x**3))+(9*x**4))-(6*x**5))+(8*x**6))-(4*x**7))+(5*x**8)))/((x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A093545():
- x = SR.var('x')
- return { 'ogf': [((x*(x**10+(3*x**9)+(5*x**8)+x**7+(5*x**6)+(5*x**5)+(2*x**4)+(5*x**3)+(5*x**2)+x+2))/((1-x**3-x**9)+x**12))] }
-
-
-
-def A093566():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(1+(13*x)+x**2))/(x-1)**7))] }
-
-
-
-def A093567():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((-1)-(7*x))+(2*x**2)+x**3))/(x-1)**7)] }
-
-
-
-def A093611():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(4*x**2)+x**3+x**5))/(1-(6*x**3)-x**6))] }
-
-
-
-def A093646():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-x)**10)] }
-
-
-
-def A093718():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x**2-(2*x**4))+x**3)/((x-1)*((1-x)+x**2)*(1+x+x**2)))] }
-
-
-
-def A093719():
- x = SR.var('x')
- return { 'ogf': [(-((x**5+x**3+x+1)/(x**6-1)))] }
-
-
-
-def A093722():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)+(4*x**2)+x**3+(4*x**4)+x**6+(2*x**5)))/((1+x)**2*(x**2+1)**2*(x-1)**3)))] }
-
-
-
-def A093733():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((9.636859008E10*x**9)+(2.7682953984E10*x**8))-(1.3185435E10*x**7))+(774468980*x**6)+(143028190*x**5))-(19071533*x**4))+(626800*x**3)+(6970*x**2))-(470*x)-1))/(((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((11*x)-1)*((14*x)-1)*((17*x)-1)*((18*x)-1)*((32*x)-1)*((63*x)-1)))] }
-
-
-
-def A093801():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(9*x))+(18*x**2)))] }
-
-
-
-def A093833():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1+x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A093835():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/(1-x-(2*x**2))**2)] }
-
-
-
-def A093907():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((1+(3*x))-x**3-(2*x**2))+x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A093916():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(7*x)+(3*x**2)+(3*x**3)+(3*x**4)+(2*x**5)))/((1-x)**3*(1+x)**3))] }
-
-
-
-def A093918():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(2*x)+2)*((x**3-x**2)+(3*x)+1))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A093953():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(((1-(8*x))+(17*x**2))-(10*x**3)))] }
-
-
-
-def A093960():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)**2*(x+1))/((x**2-(3*x))+1))] }
-
-
-
-def A093967():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(1-(2*x)-x**2)**2)] }
-
-
-
-def A093968():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/(1-(2*x**2))**2)] }
-
-
-
-def A093969():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+(5*x**2)))/(1-(2*x)-x**2)**2)] }
-
-
-
-def A094002():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A094024():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1+x)*(1-(2*x**2))))] }
-
-
-
-def A094033():
- x = SR.var('x')
- return { 'ogf': [((3*x**3)/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A094034():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((5*x)+1)*((56*x**2)-(11*x)-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((7*x)-1))))] }
-
-
-
-def A094038():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/((1-(2*x**2))*((1-(4*x))+(2*x**2))))] }
-
-
-
-def A094039():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-x**2))/((1+x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A094052():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x-x**2))/((1-(2*x))*((1+x)-(2*x**2)-x**3)))] }
-
-
-
-def A094075():
- x = SR.var('x')
- return { 'ogf': [((105*x*(1+(120*x)+(1191*x**2)+(2416*x**3)+(1191*x**4)+(120*x**5)+x**6))/(x-1)**8)] }
-
-
-
-def A094081():
- x = SR.var('x')
- return { 'ogf': [((5+(160*x)+(438*x**2)+(160*x**3)+(5*x**4))/(1-x)**5)] }
-
-
-
-def A094103():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3)/((1-x**3)*(1-x**2-x**4)))] }
-
-
-
-def A094113():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*((1-(6*x))+x**2)))] }
-
-
-
-def A094125():
- x = SR.var('x')
- return { 'ogf': [(-(((13*x)-5)/(((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A094159():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(3*x)))/(1-x)**3)] }
-
-
-
-def A094161():
- x = SR.var('x')
- return { 'ogf': [(-((5*x**2*((112*x**3)+(229*x**2)+(58*x)+1))/(x-1)**5))] }
-
-
-
-def A094170():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**5+x**4+(4*x**3)+(4*x**2)+(7*x)+1))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A094195():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(5*x))*(1-x)**2))] }
-
-
-
-def A094219():
- x = SR.var('x')
- return { 'ogf': [((((-(7*x**2))+(8*x))-2-((((((((4*x**7)+(14*x**6)+(84*x**5))-(350*x**4))+(350*x**3))-(147*x**2))+(28*x))-2)/(1-(4*x))**(5/2)))/(2*x**5))] }
-
-
-
-def A094233():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((x**3+(3*x**2))-1))/(((2*x)-1)*(x+1)*((x**3-(3*x**2))+1))))] }
-
-
-
-def A094248():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(5*x**2)))/(1-(2*x**2)-(5*x**3)))] }
-
-
-
-def A094253():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(4*x))-(16*x**2))+(16*x**3)))/((1-(4*x)-(4*x**2))+(8*x**3)))] }
-
-
-
-def A094254():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+(8*x**2)+(16*x**3)))/((1-(6*x))+(8*x**3)))] }
-
-
-
-def A094257():
- x = SR.var('x')
- return { 'ogf': [((x*((((14*x**3)-(63*x**2))+(14*x))-1))/((((7*x**3)-(35*x**2))+(21*x))-1))] }
-
-
-
-def A094259():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(6*x))*(1-x)**2))] }
-
-
-
-def A094286():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(3*x))+(3*x**3)))/((x-1)*((2*x)-1)*(((2*x**2)+(2*x))-1))))] }
-
-
-
-def A094287():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(4*x))-(2*x**2)-(5*x**3))+(2*x**4)+x**5))/((((x**3+(3*x**2))-(4*x))+1)*((x**3-x**2-(2*x))+1))))] }
-
-
-
-def A094288():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((1-(5*x))+(5*x**2)+(6*x**3))-(7*x**4)-(2*x**5))+x**6))/((x-1)*((x**2+(2*x))-1)*(((x**4-(4*x**3)-(2*x**2))+(4*x))-1))))] }
-
-
-
-def A094311():
- x = SR.var('x')
- return { 'ogf': [(((x*(x+1)*((x*((x*((x*(x+11))+67))+66))+12))+1)/(x-1)**8)] }
-
-
-
-def A094347():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(13*x)))/((1-(14*x))+x**2))] }
-
-
-
-def A094359():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1+x)*(1-(4*x**2))))] }
-
-
-
-def A094361():
- x = SR.var('x')
- return { 'ogf': [((4+x)/(1-(4*x**2)))] }
-
-
-
-def A094374():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+x**2)/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A094421():
- x = SR.var('x')
- return { 'ogf': [((x*(13+(22*x)+x**2))/(1-x)**4)] }
-
-
-
-def A094423():
- x = SR.var('x')
- return { 'ogf': [((x+(5*x**2))/((1+x)-(5*x**2)-(125*x**3)))] }
-
-
-
-def A094429():
- x = SR.var('x')
- return { 'ogf': [((7*x**2*(1-x))/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A094430():
- x = SR.var('x')
- return { 'ogf': [((7*x)/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A094431():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(6*x)))/((1-(8*x))+(9*x**2)))] }
-
-
-
-def A094432():
- x = SR.var('x')
- return { 'ogf': [((3*x**2)/((1-(8*x))+(9*x**2)))] }
-
-
-
-def A094433():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(4*x)))/((1-(6*x))+(6*x**2)))] }
-
-
-
-def A094434():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-(6*x))+(6*x**2)))] }
-
-
-
-def A094556():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/((1-x)*(1+(2*x))*(1-(3*x))))] }
-
-
-
-def A094567():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(6*x)-(6*x**2))+x**3))] }
-
-
-
-def A094569():
- x = SR.var('x')
- return { 'ogf': [(-((x-2)/((x+1)*((x**2-(7*x))+1))))] }
-
-
-
-def A094584():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)+1))/((x-1)*((x**2+x)-1)**2)))] }
-
-
-
-def A094586():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2))/((1-x-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A094621():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(13*x)+(20*x**2)))/((x-1)*(1+x)*((10*x**2)-1)))] }
-
-
-
-def A094625():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(22*x)+(11*x**2)))/((x-1)*(1+x)*((10*x**2)-1)))] }
-
-
-
-def A094626():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*(1-(10*x**2))))] }
-
-
-
-def A094629():
- x = SR.var('x')
- return { 'ogf': [((2+(11*x))/(1-(10*x**2)))] }
-
-
-
-def A094648():
- x = SR.var('x')
- return { 'ogf': [(((3+(2*x))-(2*x**2))/((1+x)-(2*x**2)-x**3))] }
-
-
-
-def A094649():
- x = SR.var('x')
- return { 'ogf': [(((4-(3*x)-(6*x**2))+(2*x**3))/((x-1)*((x**3+(3*x**2))-1)))] }
-
-
-
-def A094650():
- x = SR.var('x')
- return { 'ogf': [((((5+(4*x))-(12*x**2)-(6*x**3))+(3*x**4))/(((1+x)-(4*x**2)-(3*x**3))+(3*x**4)+x**5))] }
-
-
-
-def A094659():
- x = SR.var('x')
- return { 'ogf': [(((1-x-(2*x**2))+x**3)/(((2*x)-1)*(((-1)-x)+(2*x**2)+x**3)))] }
-
-
-
-def A094667():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+x)*((-1)+(3*x)))/((((1-(8*x))+(21*x**2))-(20*x**3))+(5*x**4)))] }
-
-
-
-def A094705():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A094715():
- x = SR.var('x')
- return { 'ogf': [(((x**5+(2*x**2)+x**3)-x**4-1)/((2*x)-1)/((3*x**2)+(3*x)+1)/((x**2-x)+1))] }
-
-
-
-def A094717():
- x = SR.var('x')
- return { 'ogf': [(-(((((((2*x**5)-(2*x**4))+(5*x**3))-(8*x**2))+(5*x))-1)/((x-1)*((3*x)-1)*(x**2+x+1)*(((3*x**2)-(3*x))+1))))] }
-
-
-
-def A094723():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-(2*x))*(1-(2*x)-x**2)))] }
-
-
-
-def A094726():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x)+1))/(((9*x**2)+(2*x))-1)))] }
-
-
-
-def A094729():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((12*x**2)-(5*x))+1))/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A094730():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((5040*x**5)-(2686*x**4))+(843*x**3))-(193*x**2))+(21*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((7*x)-1))))] }
-
-
-
-def A094734():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((9*x**2)-(5*x))+1))/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A094735():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((1960*x**5)-(1695*x**4))+(731*x**3))-(176*x**2))+(21*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((7*x)-1))))] }
-
-
-
-def A094788():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-(2*x)))/((((1-(8*x))+(21*x**2))-(20*x**3))+(5*x**4)))] }
-
-
-
-def A094789():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1))/((((-1)+(5*x))-(6*x**2))+x**3))] }
-
-
-
-def A094790():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(2*x)))/((((-1)+(5*x))-(6*x**2))+x**3))] }
-
-
-
-def A094792():
- x = SR.var('x')
- return { 'ogf': [((x**3+(3*x)+2)/(x-1)**4)] }
-
-
-
-def A094793():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+(6*x**2)+(8*x)+9)/(x-1)**5))] }
-
-
-
-def A094794():
- x = SR.var('x')
- return { 'ogf': [((x**5+(10*x**3)+(20*x**2)+(45*x)+44)/(x-1)**6)] }
-
-
-
-def A094797():
- x = SR.var('x')
- return { 'ogf': [(-((((99*x**2)-(19*x))+1)/((x-1)*((10*x)-1)**2)))] }
-
-
-
-def A094811():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))*((1-(4*x))+(2*x**2))))] }
-
-
-
-def A094817():
- x = SR.var('x')
- return { 'ogf': [(((((-3)+(10*x))-(6*x**2))/(4*((2*x)-1)*((1-(4*x))+(2*x**2))))-(3/4))] }
-
-
-
-def A094825():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1-x))/(((1-(3*x))+x**2)*((1-(5*x))+(5*x**2))))] }
-
-
-
-def A094827():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)+(3*x))-x**2))/(((((-1)+(7*x))-(15*x**2))+(10*x**3))-x**4))] }
-
-
-
-def A094828():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+(2*x)))/(((((-1)+(7*x))-(15*x**2))+(10*x**3))-x**4))] }
-
-
-
-def A094832():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(3*x))-x**2)/((((-1)+(6*x))-(9*x**2))+x**3))] }
-
-
-
-def A094836():
- x = SR.var('x')
- return { 'ogf': [((15+(15*x))/((1-(2702*x))+x**2))] }
-
-
-
-def A094854():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(5*x))-(7*x**2))+(2*x**3))/(((((-1)+(7*x))-(15*x**2))+(10*x**3))-x**4))] }
-
-
-
-def A094855():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x))**2/((((1-(7*x))+(15*x**2))-(10*x**3))+x**4))] }
-
-
-
-def A094865():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1-(3*x))+x**2)*((1-(5*x))+(5*x**2))))] }
-
-
-
-def A094891():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(2*x)-(3*x**2))))/((1-(3*x))**2*(1+x)))] }
-
-
-
-def A094893():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((1-(4*x**2))))/((1-(2*x))*(1-(4*x**2))))] }
-
-
-
-def A094895():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1480*x**2)+(256*x)+1))/(((2*x)+1)*((8*x)+1)*((34*x)-1))))] }
-
-
-
-def A094943():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(18*x**2))/(1-(3*x)-(18*x**3)-(15*x**2)))] }
-
-
-
-def A094944():
- x = SR.var('x')
- return { 'ogf': [(-((x*((7*x)+1)**2)/(((7*x)-1)*((7*x**2)+(4*x)+1))))] }
-
-
-
-def A094951():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((27*x**2)-(23*x))+6))/((3*x)-1)**3))] }
-
-
-
-def A094952():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(11*x)+x**2))/(1-x)**4)] }
-
-
-
-def A094958():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x+x**2))/(1-(2*x**2)))] }
-
-
-
-def A095004():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(8*x))+x**2)))] }
-
-
-
-def A095128():
- x = SR.var('x')
- return { 'ogf': [(((-x**2)+x+1)/((x**3-(2*x**2)-(3*x))+1))] }
-
-
-
-def A095130():
- x = SR.var('x')
- return { 'ogf': [(x/(((((1-x)+x**2)-x**3)+x**4)-x**5))] }
-
-
-
-def A095151():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A095152():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((21*x)+1))/((x-1)*((3*x)-1)*((7*x)-1))))] }
-
-
-
-def A095153():
- x = SR.var('x')
- return { 'ogf': [((35*x**3*((9*x)+1))/((x-1)*((3*x)-1)*((7*x)-1)*((15*x)-1)))] }
-
-
-
-def A095154():
- x = SR.var('x')
- return { 'ogf': [(-((21*x**3*((465*x**2)+(82*x)+1))/((x-1)*((3*x)-1)*((7*x)-1)*((15*x)-1)*((31*x)-1))))] }
-
-
-
-def A095155():
- x = SR.var('x')
- return { 'ogf': [((7*x**3*((87885*x**3)+(20891*x**2)+(591*x)+1))/((x-1)*((3*x)-1)*((7*x)-1)*((15*x)-1)*((31*x)-1)*((63*x)-1)))] }
-
-
-
-def A095262():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x)+2))/(((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A095263():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(3*x))+(2*x**2))-x**3))] }
-
-
-
-def A095264():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)))/(((2*x)-1)*(x-1)**2)))] }
-
-
-
-def A095265():
- x = SR.var('x')
- return { 'ogf': [((x*((21*x**2)+(18*x)+1))/(x-1)**4)] }
-
-
-
-def A095266():
- x = SR.var('x')
- return { 'ogf': [(-((x*((39*x**3)+(103*x**2)+(37*x)+1))/(x-1)**5))] }
-
-
-
-def A095310():
- x = SR.var('x')
- return { 'ogf': [(((-x**2)+(3*x)+1)/((x**3-(3*x**2)-(2*x))+1))] }
-
-
-
-def A095311():
- x = SR.var('x')
- return { 'ogf': [(-((x*((44*x)+1))/(x-1)**3))] }
-
-
-
-def A095342():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((1-(2*x))*(1+x)**2))] }
-
-
-
-def A095343():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)))/((1+x)*(1-x-(3*x**2))))] }
-
-
-
-def A095344():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)))/((1+x)*(1-x-(4*x**2))))] }
-
-
-
-def A095364():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)+x+(2*x**2))-x**3))/((1+x)*((-1)+(2*x))*((1-(3*x**2))+x**3)))] }
-
-
-
-def A095372():
- x = SR.var('x')
- return { 'ogf': [(-(((10*x)-1)/((x-1)*((100*x)-1))))] }
-
-
-
-def A095661():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/(1-x)**5)] }
-
-
-
-def A095662():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/(1-x)**7)] }
-
-
-
-def A095663():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/(1-x)**8)] }
-
-
-
-def A095664():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/(1-x)**9)] }
-
-
-
-def A095665():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/(1-x)**10)] }
-
-
-
-def A095667():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x))/(1-x)**5)] }
-
-
-
-def A095668():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x))/(1-x)**6)] }
-
-
-
-def A095669():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x))/(1-x)**7)] }
-
-
-
-def A095670():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x))/(1-x)**8)] }
-
-
-
-def A095671():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x))/(1-x)**9)] }
-
-
-
-def A095681():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x-x**2)*(1-x-x**2-x**3)))] }
-
-
-
-def A095685():
- x = SR.var('x')
- return { 'ogf': [((1+x)**4/(((1-(11*x))+(11*x**2))-x**3))] }
-
-
-
-def A095694():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((2*x**3)-(3*x**2))+(15*x)+1))/(x-1)**7))] }
-
-
-
-def A095695():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((11*x**4)-(39*x**3))+(51*x**2)+(76*x)+6))/(x-1)**9))] }
-
-
-
-def A095696():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((22+(580*x)+(715*x**2)+(455*x**3))-(1705*x**4))+(878*x**5)))/(1-x)**11)] }
-
-
-
-def A095698():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**2-(4*x**3)))/((1-(2*x**2))*(1-(3*x**2))))] }
-
-
-
-def A095794():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(3*x))+x**2))/((-1)+x)**3)] }
-
-
-
-def A095795():
- x = SR.var('x')
- return { 'ogf': [(((3*x**3)-(5*x**2)-(5*x)-2)/((x**4+x**2)-1))] }
-
-
-
-def A095796():
- x = SR.var('x')
- return { 'ogf': [(((1+(22*x))-(2*x**3))/(x-1)**4)] }
-
-
-
-def A095797():
- x = SR.var('x')
- return { 'ogf': [(((((((1+x+x**2+x**3+(7*x**5)+(10*x**6)+(2*x**7))-(5*x**8))+(7*x**9))-(10*x**10)-(2*x**12))+(6*x**13))-(16*x**14)-(24*x**11))/((1-(4*x**4)-(24*x**8))+(30*x**12)+(12*x**16)))] }
-
-
-
-def A095807():
- x = SR.var('x')
- return { 'ogf': [(((1-(19*x))+(99*x**2))/((1-x)*(1-(10*x))*(1-(9*x))))] }
-
-
-
-def A095819():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x))/(1-x)**10)] }
-
-
-
-def A095889():
- x = SR.var('x')
- return { 'ogf': [((2*x**5*((((5-(36*x))+(82*x**2))-(36*x**3)-(87*x**4))+(80*x**5)))/((1-x)**4*(1-(2*x))**3*(1-(3*x))**4))] }
-
-
-
-def A095894():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x))/((1+x)*(x-1)**3))] }
-
-
-
-def A095897():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x))-(4*x**2)))/((1+(2*x))*(1-(6*x))*(1-(8*x**2))))] }
-
-
-
-def A095898():
- x = SR.var('x')
- return { 'ogf': [((x+(3*x**2))/(1-(24*x)-x**2))] }
-
-
-
-def A095905():
- x = SR.var('x')
- return { 'ogf': [(-((x*((6*x)+1))/(((18*x**2)+(15*x))-1)))] }
-
-
-
-def A095915():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+(5*x**3)+(10*x**4)+x+1))/((1-x)*(1+x**2)))] }
-
-
-
-def A095929():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(5*x))-(5*x**2))/(((-1)+(4*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A095930():
- x = SR.var('x')
- return { 'ogf': [(((-x)+(3*x**2))/(((-1)+(4*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A095931():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(4*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A095932():
- x = SR.var('x')
- return { 'ogf': [(((-x)+(2*x**2))/(((-1)+(4*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A095933():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/(((-1)+(4*x))*((1-(3*x))+x**2))))] }
-
-
-
-def A095934():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-(5*x))+(3*x**2)))] }
-
-
-
-def A095940():
- x = SR.var('x')
- return { 'ogf': [((x-x**2)/(((3*x**2)-(5*x))+1))] }
-
-
-
-def A095977():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1+x)**2*(1-(2*x))**2))] }
-
-
-
-def A095980():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**3-((((1-(2*x)-(3*x**2))+(2*x**3))-(2*x**4))+x**6)**(1/2))/(2*x**2*((1-x)+x**2)))] }
-
-
-
-def A095981():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(2*x)+x**2)-x**3)+((((1-(4*x))+(2*x**2)+(6*x**3))-(7*x**4))+(2*x**5)+x**6)**(1/2))/(2*((-1)+x)*x**2))] }
-
-
-
-def A096000():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(3*x**2))/(1-x)**4)] }
-
-
-
-def A096019():
- x = SR.var('x')
- return { 'ogf': [((3+x)/((1+x)*(1-(3*x))))] }
-
-
-
-def A096022():
- x = SR.var('x')
- return { 'ogf': [((3*x*(5+(4*x)+(4*x**2)+(4*x**3)+(3*x**4)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A096023():
- x = SR.var('x')
- return { 'ogf': [((3*x*(21+(20*x)+(20*x**2)+(20*x**3)+(20*x**4)+(20*x**5)+(19*x**6)))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A096024():
- x = SR.var('x')
- return { 'ogf': [((3*x*((139*x)+141))/(x-1)**2)] }
-
-
-
-def A096025():
- x = SR.var('x')
- return { 'ogf': [((3*x*((279*x**2)+(280*x)+281))/((x-1)**2*(x+1)))] }
-
-
-
-def A096026():
- x = SR.var('x')
- return { 'ogf': [((3*x*((839*x**10)+(840*x**9)+(840*x**8)+(840*x**7)+(840*x**6)+(840*x**5)+(840*x**4)+(840*x**3)+(840*x**2)+(840*x)+841))/((x-1)**2*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A096027():
- x = SR.var('x')
- return { 'ogf': [((3*x*((9239*x**12)+(9240*x**11)+(9240*x**10)+(9240*x**9)+(9240*x**8)+(9240*x**7)+(9240*x**6)+(9240*x**5)+(9240*x**4)+(9240*x**3)+(9240*x**2)+(9240*x)+9241))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+1)*(x**2+x+1)*((x**4-x**2)+1)))] }
-
-
-
-def A096053():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A096062():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((2*x**13)-(2*x**12))+x**11+(5*x**10))-x**9-x**8)+x**7+x**6)-x**5)+(3*x**4)+x**3+x**2+x+1))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)**2*((x**4-x**2)+1)))] }
-
-
-
-def A096129():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+(4*x**3)+(38*x**2)+(4*x)+1)/(x-1)**5))] }
-
-
-
-def A096140():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/(((1-(3*x))+x**2)*(1-x-x**2)))] }
-
-
-
-def A096227():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((32*x**8)+(16*x**7)+(36*x**6)+(50*x**5))-(8*x**4)-(34*x**3)-(6*x**2))+(4*x)+1))/(((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((8*x**2)-1))))] }
-
-
-
-def A096229():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((15*x**9)-x**8-(2*x**7)-(3*x**6)-(4*x**5))+(85*x**4)+x**3+(2*x**2)+(3*x)+4))/((x-1)**3*(x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A096231():
- x = SR.var('x')
- return { 'ogf': [(((x+1)**2*(1+x+x**2))/(1-x**2-x**3))] }
-
-
-
-def A096252():
- x = SR.var('x')
- return { 'ogf': [((4*(1-x-(2*x**2)-(4*x**3)))/((1-(4*x**2))+(16*x**4)))] }
-
-
-
-def A096260():
- x = SR.var('x')
- return { 'ogf': [(-((((((1024*x**11)+(512*x**10)+(832*x**9)+(432*x**8))-(80*x**7)-(234*x**6)-(295*x**5)-(72*x**4))+(65*x**3)+(21*x**2))-(3*x)-1)/(((2*x)-1)*((2*x)+1)*((4*x)-1)*((4*x)+1)*((2*x**2)-1)*((8*x**2)-1))))] }
-
-
-
-def A096261():
- x = SR.var('x')
- return { 'ogf': [(1/((((((((((x**10-(2*x**9))+(3*x**8))-(4*x**7))+(5*x**6))-(6*x**5))+(7*x**4))-(8*x**3))+(9*x**2))-(10*x))+1))] }
-
-
-
-def A096338():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**2*(1-x**2)**3))] }
-
-
-
-def A096367():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((2*x**2)-1))/((x-1)*((2*x)-1)**3)))] }
-
-
-
-def A096376():
- x = SR.var('x')
- return { 'ogf': [(((2-x)+(3*x**2))/(1-x)**3)] }
-
-
-
-def A096383():
- x = SR.var('x')
- return { 'ogf': [(((6*x*((5*x)-16))+84)/(x-1)**4)] }
-
-
-
-def A096386():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**4))/((1-x)*(1-x**6)))] }
-
-
-
-def A096431():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(((((x**8+(2*x**7))-x**6)+(8*x**5)+x**4+(8*x**3))-x**2)+(2*x)+1))/((x-1)**2*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A096531():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((32*x**7)-(60*x**5)-(48*x**4))+(33*x**3)+(31*x**2))-(5*x)-4))/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((8*x**2)-1))))] }
-
-
-
-def A096777():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+1))/((x-1)**3*(x**2+x+1))))] }
-
-
-
-def A096884():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(101*x)))] }
-
-
-
-def A096885():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(100*x)-x**2))] }
-
-
-
-def A096941():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x))/(1-x)**4)] }
-
-
-
-def A096942():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x))/(1-x)**5)] }
-
-
-
-def A096943():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x))/(1-x)**6)] }
-
-
-
-def A096944():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x))/(1-x)**7)] }
-
-
-
-def A096945():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x))/(1-x)**8)] }
-
-
-
-def A096946():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x))/(1-x)**9)] }
-
-
-
-def A096947():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x))/(1-x)**10)] }
-
-
-
-def A096951():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(4*x))*(1-(9*x))))] }
-
-
-
-def A096957():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/(1-x)**4)] }
-
-
-
-def A096958():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/(1-x)**5)] }
-
-
-
-def A096959():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/(1-x)**6)] }
-
-
-
-def A096977():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/((1-x)**2*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A096978():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**2*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A096979():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+x)*((1-(6*x))+x**2)))] }
-
-
-
-def A097040():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3)/(((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A097065():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A097066():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/((1-x**2)*(1-x)**2))] }
-
-
-
-def A097068():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(14*x))+(4*x**2)))] }
-
-
-
-def A097070():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(1-(4*x))**(3/2)))/(2*(1-(4*x))**(3/2)))] }
-
-
-
-def A097076():
- x = SR.var('x')
- return { 'ogf': [(-(x/((1+x)*((x**2+(2*x))-1))))] }
-
-
-
-def A097080():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A097083():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*(x**2+1)*((x**2+x)-1)))] }
-
-
-
-def A097108():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**7)+(4*x**6)+(3*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)**3*(x+1)*((x**2-x)+1)*(x**2+x+1)**3)))] }
-
-
-
-def A097110():
- x = SR.var('x')
- return { 'ogf': [(((2*(1+x))/(1-(2*x**2)))-(1/(1-x**2)))] }
-
-
-
-def A097113():
- x = SR.var('x')
- return { 'ogf': [(((5*(1+x))/(1-(17*x**2)))-(4/(1-(16*x**2))))] }
-
-
-
-def A097122():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2)/(((1-(3*x))+(3*x**2))-(4*x**3)))] }
-
-
-
-def A097123():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2)/(((1-(3*x))+(3*x**2))-(5*x**3)))] }
-
-
-
-def A097124():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2)/(((1-(3*x))+(3*x**2))-(6*x**3)))] }
-
-
-
-def A097134():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-(3*x))+x**2))] }
-
-
-
-def A097138():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1-(4*x))*(1-x**2)))] }
-
-
-
-def A097139():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1-(5*x))*(1-x**2)))] }
-
-
-
-def A097162():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(5*x**2)-(4*x**3))/((1-x)*(1-(4*x**2))*(1-(5*x**2))))] }
-
-
-
-def A097163():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x)*(1-(4*x**2))))] }
-
-
-
-def A097164():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((x-1)*((2*x)+1)*((2*x)-1)))] }
-
-
-
-def A097177():
- x = SR.var('x')
- return { 'ogf': [(((1+(10*x))-(101*x**2)-(900*x**3))/((1-x)*(1-(100*x**2))*(1-(101*x**2))))] }
-
-
-
-def A097280():
- x = SR.var('x')
- return { 'ogf': [(-((((5*x**2)+(3*x))-5)/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A097297():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/(1-x)**7)] }
-
-
-
-def A097298():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/(1-x)**8)] }
-
-
-
-def A097299():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/(1-x)**9)] }
-
-
-
-def A097300():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/(1-x)**10)] }
-
-
-
-def A097308():
- x = SR.var('x')
- return { 'ogf': [((1-(13*x))/((1-(26*x))+x**2))] }
-
-
-
-def A097309():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(26*x))+x**2))] }
-
-
-
-def A097310():
- x = SR.var('x')
- return { 'ogf': [((1-(14*x))/((1-(28*x))+x**2))] }
-
-
-
-def A097311():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(28*x))+x**2))] }
-
-
-
-def A097313():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(30*x))+x**2))] }
-
-
-
-def A097314():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(38*x))+x**2))] }
-
-
-
-def A097315():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(38*x))+x**2))] }
-
-
-
-def A097316():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(66*x))+x**2))] }
-
-
-
-def A097321():
- x = SR.var('x')
- return { 'ogf': [((6*x*((4*x**2)+(19*x)+4))/(1-x)**4)] }
-
-
-
-def A097325():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))-(1/(1-x**6)))] }
-
-
-
-def A097362():
- x = SR.var('x')
- return { 'ogf': [((2+x)/(1-x**2)**2)] }
-
-
-
-def A097399():
- x = SR.var('x')
- return { 'ogf': [((((x**13+(12*x**3)+(50*x**2))-(68*x))+86)/(x-1)**2)] }
-
-
-
-def A097401():
- x = SR.var('x')
- return { 'ogf': [((4*x**8*(((83-(200*x))+(169*x**2))-(49*x**3)))/(1-x)**4)] }
-
-
-
-def A097405():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((256*x**7)+(880*x**6))-(360*x**5)-(706*x**4))+(113*x**3)+(149*x**2))-(9*x)-8))/((x-1)*((2*x)-1)*((2*x)+1)*((4*x)-1)*((4*x)+1)*((2*x**2)-1)*((8*x**2)-1)))] }
-
-
-
-def A097512():
- x = SR.var('x')
- return { 'ogf': [((11-(18*x))/((1-(3*x))+x**2))] }
-
-
-
-def A097513():
- x = SR.var('x')
- return { 'ogf': [(((((x**8-x**7)+x**6+x**4+x**2)-x)+1)/(((-1)+x)**6*(x+1)**3*(x**2+x+1)**2*((x**2-x)+1)*(x**2+1)))] }
-
-
-
-def A097550():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(((1-(3*x))+(2*x**2))-x**3))] }
-
-
-
-def A097551():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**2/(((((1-(4*x))+(5*x**2))-(5*x**3))+(3*x**4))-x**5))] }
-
-
-
-def A097552():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**3/(((((1-(5*x))+(8*x**2))-(7*x**3))+(4*x**4))-x**5))] }
-
-
-
-def A097553():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**4/(((((((1-(6*x))+(13*x**2))-(17*x**3))+(17*x**4))-(11*x**5))+(5*x**6))-x**7))] }
-
-
-
-def A097554():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**5/(((((((1-(7*x))+(18*x**2))-(25*x**3))+(24*x**4))-(15*x**5))+(6*x**6))-x**7))] }
-
-
-
-def A097555():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**6/(((((((((1-(8*x))+(25*x**2))-(45*x**3))+(59*x**4))-(57*x**5))+(41*x**6))-(21*x**7))+(7*x**8))-x**9))] }
-
-
-
-def A097556():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**7/(((((((((1-(9*x))+(32*x**2))-(63*x**3))+(84*x**4))-(81*x**5))+(56*x**6))-(27*x**7))+(8*x**8))-x**9))] }
-
-
-
-def A097579():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(7*x))+x**2))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A097596():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**9-x**7)+x**6+x**5)-x)+1))/((x-1)*(x**2+1)*((x**3+x**2+x)-1)*((x**4-x**2)+1)))] }
-
-
-
-def A097602():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x**4)-x**9)+x**10))/((1+x+x**2)*(1+x**3+x**6)*(1-x)**3))] }
-
-
-
-def A097613():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(1-(1/sqrt((1-(4*x))))))/2)] }
-
-
-
-def A097657():
- x = SR.var('x')
- return { 'ogf': [((11+(12*x))/(1-x-x**2))] }
-
-
-
-def A097659():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(1001*x)))] }
-
-
-
-def A097693():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*(((43-(64*x))+(45*x**2))-(12*x**3)))/(1-x)**4)] }
-
-
-
-def A097696():
- x = SR.var('x')
- return { 'ogf': [((x**8*((((65*x**4)+(1454*x**3)+(1840*x**2))-(5902*x))+7343))/(x-1)**2)] }
-
-
-
-def A097705():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(4*x)-(17*x**2)))] }
-
-
-
-def A097725():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(102*x))+x**2))] }
-
-
-
-def A097726():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(102*x))+x**2))] }
-
-
-
-def A097727():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(102*x))+x**2))] }
-
-
-
-def A097728():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(146*x))+x**2))] }
-
-
-
-def A097729():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*73*x))+x**2))] }
-
-
-
-def A097730():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(146*x))+x**2))] }
-
-
-
-def A097731():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(198*x))+x**2))] }
-
-
-
-def A097732():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*99*x))+x**2))] }
-
-
-
-def A097733():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(198*x))+x**2))] }
-
-
-
-def A097734():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(258*x))+x**2))] }
-
-
-
-def A097735():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*129*x))+x**2))] }
-
-
-
-def A097736():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(258*x))+x**2))] }
-
-
-
-def A097737():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(326*x))+x**2))] }
-
-
-
-def A097738():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*163*x))+x**2))] }
-
-
-
-def A097739():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(326*x))+x**2))] }
-
-
-
-def A097740():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(402*x))+x**2))] }
-
-
-
-def A097741():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*201*x))+x**2))] }
-
-
-
-def A097742():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(402*x))+x**2))] }
-
-
-
-def A097765():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(486*x))+x**2))] }
-
-
-
-def A097766():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*243*x))+x**2))] }
-
-
-
-def A097767():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(486*x))+x**2))] }
-
-
-
-def A097768():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*289*x))+x**2))] }
-
-
-
-def A097769():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*289*x))+x**2))] }
-
-
-
-def A097770():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(578*x))+x**2))] }
-
-
-
-def A097771():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*339*x))+x**2))] }
-
-
-
-def A097772():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*339*x))+x**2))] }
-
-
-
-def A097773():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(678*x))+x**2))] }
-
-
-
-def A097774():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*393*x))+x**2))] }
-
-
-
-def A097775():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*393*x))+x**2))] }
-
-
-
-def A097776():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(786*x))+x**2))] }
-
-
-
-def A097778():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(23*x))+x**2))] }
-
-
-
-def A097779():
- x = SR.var('x')
- return { 'ogf': [(x+(((1-x)**2*(((1-x)+x**2)-sqrt(((1-(2*x)-x**2-(2*x**3))+x**4))))/(2*x**2)))] }
-
-
-
-def A097780():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(25*x))+x**2))] }
-
-
-
-def A097781():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(27*x))+x**2))] }
-
-
-
-def A097782():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(29*x))+x**2))] }
-
-
-
-def A097783():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(11*x))+x**2))] }
-
-
-
-def A097784():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(10*x))+x**2)))] }
-
-
-
-def A097788():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x))*(1-x)**4))] }
-
-
-
-def A097803():
- x = SR.var('x')
- return { 'ogf': [(-((3*((3*x**2)+1))/(x-1)**3))] }
-
-
-
-def A097809():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A097813():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(3*x**2))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A097826():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(11*x))+x**2)))] }
-
-
-
-def A097827():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(12*x))+x**2)))] }
-
-
-
-def A097828():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(13*x))+x**2)))] }
-
-
-
-def A097829():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(15*x))+x**2)))] }
-
-
-
-def A097830():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(16*x))+x**2)))] }
-
-
-
-def A097831():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(17*x))+x**2)))] }
-
-
-
-def A097832():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(19*x))+x**2)))] }
-
-
-
-def A097833():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(20*x))+x**2)))] }
-
-
-
-def A097834():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(27*x))+x**2))] }
-
-
-
-def A097835():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(27*x))+x**2))] }
-
-
-
-def A097836():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(51*x))+x**2))] }
-
-
-
-def A097837():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(51*x))+x**2))] }
-
-
-
-def A097838():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(51*x))+x**2))] }
-
-
-
-def A097839():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(83*x))+x**2))] }
-
-
-
-def A097840():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(83*x))+x**2))] }
-
-
-
-def A097841():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(83*x))+x**2))] }
-
-
-
-def A097842():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(123*x))+x**2))] }
-
-
-
-def A097843():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(123*x))+x**2))] }
-
-
-
-def A097844():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(171*x))+x**2))] }
-
-
-
-def A097845():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(171*x))+x**2))] }
-
-
-
-def A097851():
- x = SR.var('x')
- return { 'ogf': [((1+x**8+x**9+x**10+x**18)/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)*(1-x**6)*(1-x**7)))] }
-
-
-
-def A097852():
- x = SR.var('x')
- return { 'ogf': [((1+x**15)/((1-x**2)*(1-x**4)*(1-x**6)*(1-x**10)))] }
-
-
-
-def A097861():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2))))/(2*(1-x)*sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A097869():
- x = SR.var('x')
- return { 'ogf': [((1+x**4+x**5+x**9)/((1-x)*(1-x**2)*(1-x**4)**2)),
-((((((x**4-x**3)+x**2)-x)+1)*(x**4+1))/((1+x)**2*(x**2+1)**2*(x-1)**4))] }
-
-
-
-def A097870():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*((x**2-x)+1)*(x**4+x**3+x**2+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A097893():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A097894():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-x**2)/(2*x**3*(1-x)*sqrt((1-(2*x)-(3*x**2)))))-(1/(2*x**3)))] }
-
-
-
-def A097895():
- x = SR.var('x')
- return { 'ogf': [((x**3*((3*x)-2))/(((2*x)-1)*((2*x**2)-1)*((x**2+x)-1)))] }
-
-
-
-def A097896():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-x)+x**3+(3*x**2)))/(((2*x**2)-1)*((x**2+x)-1))))] }
-
-
-
-def A097913():
- x = SR.var('x')
- return { 'ogf': [((1+x**18)/((1-x)*(1-x**8)*(1-x**12)*(1-x**24)))] }
-
-
-
-def A097920():
- x = SR.var('x')
- return { 'ogf': [((1+x**10)/((1-x)*(1-x**3)*(1-x**5)))] }
-
-
-
-def A097921():
- x = SR.var('x')
- return { 'ogf': [(((1-x**6)*(1-x**8))/((1-x)*(1-x**2)*(1-x**3)**2*(1-x**4)))] }
-
-
-
-def A097922():
- x = SR.var('x')
- return { 'ogf': [(((1-x**4)*(1-x**10))/((1-x)*(1-x**2)**2*(1-x**3)*(1-x**5)))] }
-
-
-
-def A097923():
- x = SR.var('x')
- return { 'ogf': [((1+x**20)/((1-x)*(1-x**3)*(1-x**5)))] }
-
-
-
-def A097924():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-(4*x)-x**2))] }
-
-
-
-def A097926():
- x = SR.var('x')
- return { 'ogf': [(-((2*((5*x**3)+(8*x**2)+(9*x)+9)*x**5)/((x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A097947():
- x = SR.var('x')
- return { 'ogf': [(-((2+(7*x)+(2*x**2))/((1+(4*x))-(4*x**3)-x**4)))] }
-
-
-
-def A097948():
- x = SR.var('x')
- return { 'ogf': [(-((1-(3*x**2)-x**3)/((1+(4*x))-(4*x**3)-x**4)))] }
-
-
-
-def A097950():
- x = SR.var('x')
- return { 'ogf': [((1+x**5+x**10)/((1-x)*(1-x**3)))] }
-
-
-
-def A097992():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**6)))] }
-
-
-
-def A098011():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x-x**3))/(1-(2*x)))] }
-
-
-
-def A098057():
- x = SR.var('x')
- return { 'ogf': [((((((1-x)+x**2)-(4*x**3))+(2*x**4))-sqrt(((((1-(2*x)-x**2)+(2*x**3)+x**4)-(4*x**5))+(4*x**6))))/(2*x**2*(1-x)**3))] }
-
-
-
-def A098077():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(5*x)+(2*x**2)))/(1-x)**5)] }
-
-
-
-def A098106():
- x = SR.var('x')
- return { 'ogf': [(-(((((12*x**3)-(6*x**2))+x)-1)/(((4*x**2)-(2*x))+1)**2))] }
-
-
-
-def A098111():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A098127():
- x = SR.var('x')
- return { 'ogf': [(((7*x)+(19*x**2))/(1-x-x**2))] }
-
-
-
-def A098140():
- x = SR.var('x')
- return { 'ogf': [((1+(60*x))/(1-x)**3)] }
-
-
-
-def A098149():
- x = SR.var('x')
- return { 'ogf': [(-((1+(4*x))/(1+(3*x)+x**2)))] }
-
-
-
-def A098150():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-3)/(1+(3*x)+x**2))] }
-
-
-
-def A098156():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2+x**3)/(1-(2*x))**2)] }
-
-
-
-def A098180():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((1-x)+x**2))/((1-x)**2*(1+x**2)))] }
-
-
-
-def A098230():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(72*x)))/(x-1)**3))] }
-
-
-
-def A098244():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(171*x))+x**2))] }
-
-
-
-def A098245():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(227*x))+x**2))] }
-
-
-
-def A098246():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(227*x))+x**2))] }
-
-
-
-def A098247():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(227*x))+x**2))] }
-
-
-
-def A098248():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(291*x))+x**2))] }
-
-
-
-def A098249():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(291*x))+x**2))] }
-
-
-
-def A098250():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(291*x))+x**2))] }
-
-
-
-def A098251():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(363*x))+x**2))] }
-
-
-
-def A098252():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(363*x))+x**2))] }
-
-
-
-def A098253():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(363*x))+x**2))] }
-
-
-
-def A098254():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(443*x))+x**2))] }
-
-
-
-def A098255():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(443*x))+x**2))] }
-
-
-
-def A098256():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(443*x))+x**2))] }
-
-
-
-def A098257():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(531*x))+x**2))] }
-
-
-
-def A098258():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(531*x))+x**2))] }
-
-
-
-def A098259():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(531*x))+x**2))] }
-
-
-
-def A098260():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(627*x))+x**2))] }
-
-
-
-def A098261():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(627*x))+x**2))] }
-
-
-
-def A098262():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(627*x))+x**2))] }
-
-
-
-def A098263():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(731*x))+x**2))] }
-
-
-
-def A098264():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-(19*x**2))**(1/2))] }
-
-
-
-def A098270():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(20*x))+(4*x**2))))] }
-
-
-
-def A098291():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(731*x))+x**2))] }
-
-
-
-def A098292():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(731*x))+x**2))] }
-
-
-
-def A098293():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(3*x**2)-(2*x**3))/((1-(2*x**2))*(1-(3*x**2))))] }
-
-
-
-def A098296():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(9*x))+x**2)))] }
-
-
-
-def A098297():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(10*x))+x**2)))] }
-
-
-
-def A098298():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(11*x))+x**2)))] }
-
-
-
-def A098299():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(12*x))+x**2)))] }
-
-
-
-def A098300():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(13*x))+x**2)))] }
-
-
-
-def A098301():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A098302():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(15*x))+x**2)))] }
-
-
-
-def A098303():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(16*x))+x**2)))] }
-
-
-
-def A098304():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*((1-(17*x))+x**2)))] }
-
-
-
-def A098305():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(7*x))+x**2)))] }
-
-
-
-def A098306():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(8*x))+x**2)))] }
-
-
-
-def A098307():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(9*x))+x**2)))] }
-
-
-
-def A098308():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(10*x))+x**2)))] }
-
-
-
-def A098309():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(12*x))+x**2)))] }
-
-
-
-def A098310():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(13*x))+x**2)))] }
-
-
-
-def A098347():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**2)-(2*x)-1))/(((3*x**3)-(3*x**2)-(3*x))+1)))] }
-
-
-
-def A098399():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(12*x))))/(6*x*sqrt((1-(12*x)))))] }
-
-
-
-def A098400():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(16*x))))/(8*x*sqrt((1-(16*x)))))] }
-
-
-
-def A098409():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(10*x))+(21*x**2))))] }
-
-
-
-def A098410():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(12*x))+(32*x**2))))] }
-
-
-
-def A098411():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(16*x))+(48*x**2))))] }
-
-
-
-def A098430():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((1-(16*x))))] }
-
-
-
-def A098453():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1+(2*x))*(1-(6*x)))))] }
-
-
-
-def A098469():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1+(2*x)))-sqrt((1-(6*x))))/(4*x*sqrt((1-(2*x)))))] }
-
-
-
-def A098470():
- x = SR.var('x')
- return { 'ogf': [((32*x**5)/(sqrt(((1+x)*(1-(3*x))))*(1-x-sqrt(((1+x)*(1-(3*x)))))**5))] }
-
-
-
-def A098498():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**6)-x**5-(6*x**4))+(5*x**3)+(11*x**2)+(2*x)+1)/(x-1)**3))] }
-
-
-
-def A098499():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**7)-x**6-(8*x**5))+(4*x**4)+(13*x**3)+(13*x**2)+(3*x)+1)/((x-1)**3*(x+1))))] }
-
-
-
-def A098500():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**6)-(2*x**5)-(4*x**4))+(4*x**3)+(6*x**2)+1)/(x-1)**3))] }
-
-
-
-def A098501():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**8)+(2*x**7))-(7*x**6)-(5*x**5))+(8*x**4)+(5*x**3)+x**2+1)/((x-1)**3*(x+1))))] }
-
-
-
-def A098518():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(2*x)-(7*x**2))+((1-x)*sqrt((1-(2*x)-(7*x**2))))))] }
-
-
-
-def A098519():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(2*x)-(11*x**2))+((1-x)*sqrt((1-(2*x)-(11*x**2))))))] }
-
-
-
-def A098520():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(2*x)-(15*x**2))+((1-x)*sqrt((1-(2*x)-(15*x**2))))))] }
-
-
-
-def A098521():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(3*x**2)-((1-x)*sqrt((1-(2*x)-(7*x**2)))))/(8*x**2*sqrt((1-(2*x)-(7*x**2)))))] }
-
-
-
-def A098522():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(5*x**2)-((1-x)*sqrt((1-(2*x)-(11*x**2)))))/(18*x**2*sqrt((1-(2*x)-(11*x**2)))))] }
-
-
-
-def A098531():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(7*x)-(16*x**2))+(7*x**3)+x**4))/((1-x)*((1+(4*x))-x**2)*(1-x-x**2)*(1-(11*x)-x**2)))] }
-
-
-
-def A098532():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(11*x)-(64*x**2)-(11*x**3))+x**4))/((x+1)*((1-(18*x))+x**2)*((1-(3*x))+x**2)*(1+(7*x)+x**2)))] }
-
-
-
-def A098533():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**6+(20*x**5))-(166*x**4)-(318*x**3))+(166*x**2)+(20*x))-1))/((x-1)*(x**2-(11*x)-1)*(x**2-x-1)*((x**2+(4*x))-1)*((x**2+(29*x))-1)))] }
-
-
-
-def A098547():
- x = SR.var('x')
- return { 'ogf': [(-((((x**3-(7*x**2))+x)-1)/(x-1)**4))] }
-
-
-
-def A098574():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(((1-(2*x))+x**2)-x**7))] }
-
-
-
-def A098575():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-x)**2-(2*x**4)))] }
-
-
-
-def A098576():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-x)**2-(3*x**4)))] }
-
-
-
-def A098577():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-x)**2-(2*x**5)))] }
-
-
-
-def A098578():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**2-(x**4*(1-x))))] }
-
-
-
-def A098580():
- x = SR.var('x')
- return { 'ogf': [(1-((4*x)/sqrt((1-(8*x)))))] }
-
-
-
-def A098586():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-x)*(1-(2*x)-x**2)))] }
-
-
-
-def A098588():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-x**5))] }
-
-
-
-def A098589():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x)-(2*x**3)))] }
-
-
-
-def A098590():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(4*x)-x**4))] }
-
-
-
-def A098600():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1+x)*(1-x-x**2)))] }
-
-
-
-def A098601():
- x = SR.var('x')
- return { 'ogf': [((x/((1+x)*(1-x**2-x**3)))+(1/(1-x**2-x**3)))] }
-
-
-
-def A098603():
- x = SR.var('x')
- return { 'ogf': [((x*(11-(9*x)))/(1-x)**3)] }
-
-
-
-def A098608():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(100*x)))] }
-
-
-
-def A098611():
- x = SR.var('x')
- return { 'ogf': [((11*x)/(1-(9*x)-(10*x**2)))] }
-
-
-
-def A098615():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(4*x**2)))+x)/(1-(5*x**2)))] }
-
-
-
-def A098617():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(4*x**2)))+(2*x))/(1-(8*x**2)))] }
-
-
-
-def A098619():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(8*x**2)))+(3*x))/(1-(17*x**2)))] }
-
-
-
-def A098646():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/((1+(2*x))*(1-(2*x))))] }
-
-
-
-def A098647():
- x = SR.var('x')
- return { 'ogf': [((1-(12*x))/((1-(24*x))+(64*x**2)))] }
-
-
-
-def A098655():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x)-(8*x**2))/((1-(2*x))*(1-(8*x**2))))] }
-
-
-
-def A098658():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(6*x))**2-(36*x**2))))] }
-
-
-
-def A098659():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(14*x))+(25*x**2))))] }
-
-
-
-def A098660():
- x = SR.var('x')
- return { 'ogf': [((1/sqrt((1-(8*x**2))))+((1-sqrt((1-(8*x**2))))/(4*x*sqrt((1-(8*x**2))))))] }
-
-
-
-def A098663():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-sqrt(((1-(8*x))+(4*x**2))))/(6*x*sqrt(((1-(8*x))+(4*x**2)))))] }
-
-
-
-def A098665():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-sqrt(((1-(10*x))+(9*x**2))))/(8*x*sqrt(((1-(10*x))+(9*x**2)))))] }
-
-
-
-def A098703():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/(((-1)+(3*x))*((-1)+x+x**2)))] }
-
-
-
-def A098739():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+(5*x**2)+(7*x**3)))/((x-1)*((10*x)-1)*(1+x)*(1+x**2)))] }
-
-
-
-def A098757():
- x = SR.var('x')
- return { 'ogf': [((((-4)+(2*x))-(2*x**2))+(6*x**3)+(((4+(6*x**2)+(80*x**4)+(24*x**5)+(680*x**6)+(246*x**7)+(802*x**8)+(46*x**9)+(8024*x**10)+(6802*x**11)+(4680*x**12)+(24680*x**13)+(246802*x**14)+(46802*x**15)+(68020*x**16)+(68024*x**17)+(80240*x**18)+(80246*x**19)+(24600*x**20)+(68000*x**21)+(24000*x**22)+(80000*x**23)+(46000*x**24)+(80200*x**25)+(60000*x**26)+(40000*x**27)+(20000*x**28))-(200000*x**30))/((1-(100001*x**16))+(100000*x**32))))] }
-
-
-
-def A098790():
- x = SR.var('x')
- return { 'ogf': [(((x**2-x)+1)/((1-x)*(1-(2*x)-x**2)))] }
-
-
-
-def A098803():
- x = SR.var('x')
- return { 'ogf': [((7*x*((117649*x**6)+(2016840*x**5)+(2859591*x**4)+(828688*x**3)+(58359*x**2)+(840*x)+1))/((7*x)-1)**8)] }
-
-
-
-def A098808():
- x = SR.var('x')
- return { 'ogf': [((2037-(2026*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A098821():
- x = SR.var('x')
- return { 'ogf': [(((4-(16*x))+(17*x**2))/(((1-(5*x))+(8*x**2))-(4*x**3)))] }
-
-
-
-def A098847():
- x = SR.var('x')
- return { 'ogf': [((x*(13-(11*x)))/(1-x)**3)] }
-
-
-
-def A098848():
- x = SR.var('x')
- return { 'ogf': [((x*(15-(13*x)))/(1-x)**3)] }
-
-
-
-def A098849():
- x = SR.var('x')
- return { 'ogf': [((x*(17-(15*x)))/(1-x)**3)] }
-
-
-
-def A098850():
- x = SR.var('x')
- return { 'ogf': [((x*(19-(17*x)))/(1-x)**3)] }
-
-
-
-def A098878():
- x = SR.var('x')
- return { 'ogf': [(((((136*x**3)-(100*x**2))+(29*x))-2)/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)))] }
-
-
-
-def A098879():
- x = SR.var('x')
- return { 'ogf': [(((((((-2)+(125*x))-(2300*x**2))+(22640*x**3))-(57728*x**4))+(66560*x**5))/(((-1)+x)*((-1)+(32*x))*((-1)+(16*x))*((-1)+(8*x))*((-1)+(4*x))*((-1)+(2*x))))] }
-
-
-
-def A098880():
- x = SR.var('x')
- return { 'ogf': [((11*x*((2.5937424601E10*x**10)+(4.800781498876E12*x**9)+(3.2719096519197E13*x**8)+(4.2939747452448E13*x**7)+(1.7251662975954E13*x**6)+(2.532405864648E12*x**5)+(1.42575727074E11*x**4)+(2.932842528E9*x**3)+(18469077*x**2)+(22396*x)+1))/((11*x)-1)**12)] }
-
-
-
-def A098921():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**4+(8*x**2)+(26*x)+9))/((x-1)**5*(x+1))))] }
-
-
-
-def A098923():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(30*x)))/(1-x)**3)] }
-
-
-
-def A098924():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(42*x)))/(1-x)**3)] }
-
-
-
-def A098992():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1+(3*x))-(5*x**2))+(2*x**3)))/(1-x)**8)] }
-
-
-
-def A098994():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((1+(14*x))-(17*x**2)-(6*x**3))+(23*x**4))-(14*x**5))+(3*x**6)))/((-1)+x)**12)] }
-
-
-
-def A098995():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((((((((-1)-(40*x))+(21*x**2)+(208*x**3))-(453*x**4))+(379*x**5))-(74*x**6)-(107*x**7))+(92*x**8))-(30*x**9))+(4*x**10)))/((-1)+x)**17)] }
-
-
-
-def A099012():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)-(9*x**2)))] }
-
-
-
-def A099013():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(3*x)-(9*x**2))))] }
-
-
-
-def A099014():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**2))/((1-(3*x)-(6*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A099015():
- x = SR.var('x')
- return { 'ogf': [((1-x-(4*x**2))/(((1+x)-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A099016():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A099018():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A099025():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*((1-(5*x))+x**2)))] }
-
-
-
-def A099035():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**2)))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A099036():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-(2*x))*(1-x-x**2)))] }
-
-
-
-def A099041():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-x)**2)/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A099044():
- x = SR.var('x')
- return { 'ogf': [((1/3)+((4*x)/(sqrt((1-(12*x)))*(1-sqrt((1-(12*x)))))))] }
-
-
-
-def A099045():
- x = SR.var('x')
- return { 'ogf': [((1+(3*sqrt((1-(16*x)))))/(4*sqrt((1-(16*x)))))] }
-
-
-
-def A099046():
- x = SR.var('x')
- return { 'ogf': [((1+(4*sqrt((1-(20*x)))))/(5*sqrt((1-(20*x)))))] }
-
-
-
-def A099087():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))+(2*x**2)))] }
-
-
-
-def A099094():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x**2)-(3*x**3)))] }
-
-
-
-def A099098():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(2*x)-(3*x**2)-x**3))] }
-
-
-
-def A099099():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/((1-x)**4-x**3))] }
-
-
-
-def A099100():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(11*x)-x**2))] }
-
-
-
-def A099101():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((x**2+x)-1))/((-1)+(5*x**2)+(6*x**3)+x**4))] }
-
-
-
-def A099131():
- x = SR.var('x')
- return { 'ogf': [((1-x)**4/((1-x)**5-x**4))] }
-
-
-
-def A099132():
- x = SR.var('x')
- return { 'ogf': [((1-x)**4/((1-x)**5-x**6))] }
-
-
-
-def A099133():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(4*x)-(16*x**2)))] }
-
-
-
-def A099138():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(6*x))*(1-(12*x))))] }
-
-
-
-def A099140():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+(16*x**2)))] }
-
-
-
-def A099141():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+(25*x**2)))] }
-
-
-
-def A099142():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(36*x**2)))] }
-
-
-
-def A099156():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(4*x**2)))] }
-
-
-
-def A099157():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(12*x))+(16*x**2)))] }
-
-
-
-def A099158():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(14*x))+(25*x**2)))] }
-
-
-
-def A099159():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(2*x**2))/((1-(3*x))*(1-x-x**2)))] }
-
-
-
-def A099164():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2)/((1-(3*x))*(1-x-x**2)))] }
-
-
-
-def A099167():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-(3*x))*(1-x-x**2)))] }
-
-
-
-def A099170():
- x = SR.var('x')
- return { 'ogf': [((((1-x**3)+(2*x**2))-sqrt((((1-(2*x**3))+x**6)-(4*x**2))))/(2*x**2*((2+x**2)-x**3)))] }
-
-
-
-def A099176():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-(2*x)))/((1-(2*x**2))*(1-(2*x)-(2*x**2))))] }
-
-
-
-def A099177():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x**2))*(1-(2*x)-(2*x**2))))] }
-
-
-
-def A099193():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**6)/(1-x)**8)] }
-
-
-
-def A099196():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**8)/(1-x)**10)] }
-
-
-
-def A099197():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**9)/(1-x)**11)] }
-
-
-
-def A099211():
- x = SR.var('x')
- return { 'ogf': [(1/((1+(2*x))-(4*x**3)))] }
-
-
-
-def A099212():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1+(2*x))-(4*x**3)))] }
-
-
-
-def A099214():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(2*x))**2-(4*x**3)))] }
-
-
-
-def A099215():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(2*x))**2-(3*x**3)))] }
-
-
-
-def A099216():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(2*x))**2-(2*x**3)))] }
-
-
-
-def A099232():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-x-(3*x**2))))] }
-
-
-
-def A099234():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x*(1+x)**3)))] }
-
-
-
-def A099235():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x*(1+x)**4)))] }
-
-
-
-def A099254():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-(2*x))+(3*x**2))-(2*x**3))+x**4))] }
-
-
-
-def A099255():
- x = SR.var('x')
- return { 'ogf': [(((7+(6*x))-(6*x**2)-(3*x**3))/(((x**2+x)-1)*(x**2-x-1)))] }
-
-
-
-def A099256():
- x = SR.var('x')
- return { 'ogf': [(((3-x)*(1+(3*x)+x**2))/((1-x-x**2)*((1+x)-x**2)))] }
-
-
-
-def A099262():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((531*x**5)-(881*x**4))+(535*x**3))-(151*x**2))+(20*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((7*x)-1))))] }
-
-
-
-def A099263():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((3641*x**6)-(6583*x**5))+(4566*x**4))-(1579*x**3))+(290*x**2))-(27*x))+1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((8*x)-1))))] }
-
-
-
-def A099265():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)+(19*x**3))-(24*x**2))+(9*x)))/(((3*x)-1)*((2*x)-1)*((5*x)-1)*(x-1)**2))] }
-
-
-
-def A099266():
- x = SR.var('x')
- return { 'ogf': [((x*(((((91*x**4)-(135*x**3))+(68*x**2))-(14*x))+1))/((x-1)**2*((2*x)-1)*((3*x)-1)*((4*x)-1)*((6*x)-1)))] }
-
-
-
-def A099269():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x)-1))/(((18*x**3)-(4*x**2)-(7*x))+1)))] }
-
-
-
-def A099270():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(14*x))+x**2)))] }
-
-
-
-def A099271():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(15*x))+x**2)))] }
-
-
-
-def A099272():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(16*x))+x**2)))] }
-
-
-
-def A099273():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(17*x))+x**2)))] }
-
-
-
-def A099275():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(19*x))+x**2)))] }
-
-
-
-def A099276():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(20*x))+x**2)))] }
-
-
-
-def A099277():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(21*x))+x**2)))] }
-
-
-
-def A099278():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(22*x))+x**2)))] }
-
-
-
-def A099279():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(18*x))+x**2)*(1+x)))] }
-
-
-
-def A099322():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(7*x)-x**2)+(16*x**3))-(8*x**4)))] }
-
-
-
-def A099365():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(27*x))+x**2)*(1+x)))] }
-
-
-
-def A099366():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(38*x))+x**2)*(1+x)))] }
-
-
-
-def A099367():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(51*x))+x**2)*(1+x)))] }
-
-
-
-def A099368():
- x = SR.var('x')
- return { 'ogf': [((2-(51*x))/((1-(51*x))+x**2))] }
-
-
-
-def A099369():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(66*x))+x**2)*(1+x)))] }
-
-
-
-def A099370():
- x = SR.var('x')
- return { 'ogf': [((1-(33*x))/((1-(66*x))+x**2))] }
-
-
-
-def A099371():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(9*x)-x**2)),
-(x/(1-(9*x)-x**2))] }
-
-
-
-def A099372():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(83*x))+x**2)*(1+x)))] }
-
-
-
-def A099373():
- x = SR.var('x')
- return { 'ogf': [((2-(83*x))/((1-(83*x))+x**2))] }
-
-
-
-def A099374():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-(102*x))+x**2)*(1+x)))] }
-
-
-
-def A099392():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)+x)-x**2-x**3))/((1+x)*(x-1)**3))] }
-
-
-
-def A099393():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(4*x)))+(1/(1-(2*x))))-(1/(1-x)))] }
-
-
-
-def A099397():
- x = SR.var('x')
- return { 'ogf': [((1-(51*x))/((1-(102*x))+x**2))] }
-
-
-
-def A099429():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x))/(1-x-(2*x**2))**2)] }
-
-
-
-def A099430():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(3*x**2))/((1-x)*(1-x-(2*x**2))))] }
-
-
-
-def A099432():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x)-(3*x**2))**2)] }
-
-
-
-def A099443():
- x = SR.var('x')
- return { 'ogf': [(((1-x**4)*(1-x**5))/((1-x)*(1-x**10)))] }
-
-
-
-def A099444():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(3*x))+(3*x**2))-(3*x**3))+x**4))] }
-
-
-
-def A099445():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(x+1)*(x**2+1))/((((x**4-(3*x**3))+(3*x**2))-(3*x))+1)))] }
-
-
-
-def A099446():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(3*x))+(5*x**2))-(3*x**3))+x**4))] }
-
-
-
-def A099447():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x)*(1+x**2))/((((1-(3*x))+(5*x**2))-(3*x**3))+x**4))] }
-
-
-
-def A099448():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(5*x))+(7*x**2))-(5*x**3))+x**4))] }
-
-
-
-def A099449():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(x+1)*(x**2+1))/((((x**4-(5*x**3))+(7*x**2))-(5*x))+1)))] }
-
-
-
-def A099451():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(5*x))+(9*x**2))-(5*x**3))+x**4))] }
-
-
-
-def A099452():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x)*(1+x**2))/((((1-(5*x))+(9*x**2))-(5*x**3))+x**4))] }
-
-
-
-def A099454():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(7*x))+(13*x**2))-(7*x**3))+x**4))] }
-
-
-
-def A099455():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x)*(1+x**2))/((((1-(7*x))+(13*x**2))-(7*x**3))+x**4))] }
-
-
-
-def A099457():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(4*x))+(7*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A099458():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x)*(1+x**2))/((((1-(4*x))+(7*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A099460():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(7*x))+(11*x**2))-(7*x**3))+x**4))] }
-
-
-
-def A099461():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x)*(1+x**2))/((((1-(7*x))+(11*x**2))-(7*x**3))+x**4))] }
-
-
-
-def A099463():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(1-(3*x)-x**2-x**3))] }
-
-
-
-def A099471():
- x = SR.var('x')
- return { 'ogf': [(-((((x**3-x**2)+(2*x))-1)/((x**2-x)+1)**2))] }
-
-
-
-def A099479():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(((1-x)+x**2)*((1-x-x**3)+x**4)))] }
-
-
-
-def A099480():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-x)+x**2)*((1-x-x**3)+x**4)))] }
-
-
-
-def A099483():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A099484():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1+x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A099485():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1+x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A099491():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**2/(((1+(2*x**2))-x**3)+(2*x**4)+x**6))] }
-
-
-
-def A099492():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**2/(((1+(2*x**2))-(2*x**3))+(2*x**4)+x**6))] }
-
-
-
-def A099495():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/((1+x+x**2)*((((1-(3*x))+(3*x**2))-(3*x**3))+x**4)))] }
-
-
-
-def A099496():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1+(3*x)+x**2))] }
-
-
-
-def A099505():
- x = SR.var('x')
- return { 'ogf': [(x/((((1-x-x**2)+(2*x**3))-x**4)+x**6))] }
-
-
-
-def A099508():
- x = SR.var('x')
- return { 'ogf': [(x/((((1-x-(2*x**2))+(2*x**3))-x**4)+x**6))] }
-
-
-
-def A099511():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(2*x)-x**2-(2*x**3))+x**4))] }
-
-
-
-def A099513():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((1-(2*x)-x**2-(7*x**3))+x**4))] }
-
-
-
-def A099515():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((1-(2*x)-(3*x**2))+(3*x**3)+(4*x**4)))] }
-
-
-
-def A099516():
- x = SR.var('x')
- return { 'ogf': [(x/((((1-(2*x)-x**2)+(2*x**3))-(2*x**4))+x**6))] }
-
-
-
-def A099517():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**3)/((1+x**3)*((1-(2*x))+x**3)))] }
-
-
-
-def A099528():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((((1-(4*x))+(2*x**2))-(5*x**3))+x**4))] }
-
-
-
-def A099558():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)**2-x**5))] }
-
-
-
-def A099559():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-x-x**5)))] }
-
-
-
-def A099560():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x**3)*(1-x-x**3)))] }
-
-
-
-def A099561():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x**4)*(1-x-x**4)))] }
-
-
-
-def A099562():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-x**5)*(1-x-x**5)))] }
-
-
-
-def A099571():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)**3*(1-x-x**2)))] }
-
-
-
-def A099572():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)**4*(1-x-x**2)))] }
-
-
-
-def A099574():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(1+x)*(x**2+1))/(((x**4+x**2)-1)*((x**4+x)-1))))] }
-
-
-
-def A099579():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(3*x**2))*(1-x-(3*x**2))))] }
-
-
-
-def A099580():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(4*x**2))*(1-x-(4*x**2))))] }
-
-
-
-def A099581():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(3*x**2))*(1-(3*x)-(3*x**2))))] }
-
-
-
-def A099582():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(4*x**2))*(1-(4*x)-(4*x**2))))] }
-
-
-
-def A099583():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(3*x**2))*(1-(2*x)-(3*x**2))))] }
-
-
-
-def A099587():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)**2)/(((((2*x**4)-(4*x**3))+(6*x**2))-(4*x))+1))] }
-
-
-
-def A099588():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x-1))/(((((2*x**4)-(4*x**3))+(6*x**2))-(4*x))+1)))] }
-
-
-
-def A099590():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+2)*((x**2-(2*x))+2))/(((2*x)-1)**2*(x**2+1)**2))] }
-
-
-
-def A099603():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(2*x**2))/((1-(6*x**2))+(4*x**4)))] }
-
-
-
-def A099604():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**3)/((1-(2*x**2)-(3*x**3))+(2*x**5)+x**6))] }
-
-
-
-def A099606():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-(2*x**2))/((1-(12*x**2))+(4*x**4)))] }
-
-
-
-def A099607():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+x**2)-x**3)/((1-(2*x**2)-(6*x**3)-(3*x**4))+(2*x**5)+x**6))] }
-
-
-
-def A099623():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))**2*(1-(2*x)-(3*x**2))))] }
-
-
-
-def A099624():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(3*x))**2*(1-(3*x)-(4*x**2))))] }
-
-
-
-def A099625():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))**2*(1-(2*x)-x**2)))] }
-
-
-
-def A099626():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x)-(3*x**2))+(2*x**3)+x**4))] }
-
-
-
-def A099676():
- x = SR.var('x')
- return { 'ogf': [(-((9*x)/((x-1)**2*((10*x)-1))))] }
-
-
-
-def A099721():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(8*x)+x**2))/(x-1)**4)] }
-
-
-
-def A099743():
- x = SR.var('x')
- return { 'ogf': [(((2-(3*x))*x**3)/((1-(2*x))**3*(1-(3*x))))] }
-
-
-
-def A099745():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((12-(72*x))+(137*x**2))-(81*x**3)))/((1-(3*x))**4*(1-(2*x))**4))] }
-
-
-
-def A099754():
- x = SR.var('x')
- return { 'ogf': [(((2-(8*x))+(7*x**2))/(1-x)/(1-(2*x))/(1-(3*x)))] }
-
-
-
-def A099761():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((9+(19*x))-(5*x**2))+x**3))/(x-1)**5))] }
-
-
-
-def A099762():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x**3+(12*x**2)+(15*x)+2))/(x-1)**6)] }
-
-
-
-def A099764():
- x = SR.var('x')
- return { 'ogf': [(-((36*x*(1+x)*(x**2+(8*x)+1))/(x-1)**7))] }
-
-
-
-def A099770():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**4)*(1-x**6)))] }
-
-
-
-def A099776():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(2*x))+x**2))/(1-x)**3)] }
-
-
-
-def A099780():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(3*x))**2-(2*x**3)))] }
-
-
-
-def A099781():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(4*x))**2-x**3))] }
-
-
-
-def A099782():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(4*x))**2-(2*x**3)))] }
-
-
-
-def A099783():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(3*x))**2-(3*x**3)))] }
-
-
-
-def A099785():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))**2/((1-(2*x))**3-(2*x**4)))] }
-
-
-
-def A099786():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))**2/((1-(3*x))**3-x**4))] }
-
-
-
-def A099787():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))**2/((1-(3*x))**3-(2*x**4)))] }
-
-
-
-def A099837():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(1+x+x**2)),
-(((1-x)*(1-x**2))/(1-x**3))] }
-
-
-
-def A099839():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1+(10*x)+(5*x**2)))] }
-
-
-
-def A099842():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+(6*x))-(3*x**2)))] }
-
-
-
-def A099843():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+(4*x))-x**2))] }
-
-
-
-def A099844():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-(3*x))+(3*x**2))-(3*x**3))+(3*x**4))-(3*x**5))+x**6))] }
-
-
-
-def A099845():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**2/((((((1-(3*x))+(3*x**2))-(3*x**3))+(3*x**4))-(3*x**5))+x**6))] }
-
-
-
-def A099846():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-(3*x))+(4*x**2))-(5*x**3))+(4*x**4))-(3*x**5))+x**6))] }
-
-
-
-def A099854():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**2/((((((1-(3*x))+(4*x**2))-(5*x**3))+(4*x**4))-(3*x**5))+x**6))] }
-
-
-
-def A099855():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(2*x))+(2*x**2))*((1-(4*x))+(4*x**2))))] }
-
-
-
-def A099859():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/((((((1-x)+x**2)-x**3)+x**4)-x**5)+x**6))] }
-
-
-
-def A099860():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**2/((((((1-x)+x**2)-x**3)+x**4)-x**5)+x**6))] }
-
-
-
-def A099867():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-(5*x))+x**2))] }
-
-
-
-def A099868():
- x = SR.var('x')
- return { 'ogf': [((3+(10*x))/((1-(5*x))+x**2))] }
-
-
-
-def A099903():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(12*x)+(15*x**2)+(2*x**3)))/(1-x)**6)] }
-
-
-
-def A099918():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)**2/(1+x+x**2+x**3+x**4+x**5+x**6))] }
-
-
-
-def A099919():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-x)*(1-(4*x)-x**2)))] }
-
-
-
-def A099920():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/(1-x-x**2)**2)] }
-
-
-
-def A099921():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(5*x)))/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A099925():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x**2))/((1+x)*(1-x-x**2)))] }
-
-
-
-def A099930():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1+(2*x))-x**2)*(1-(14*x)-x**2)))] }
-
-
-
-def A099931():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)*(1+(6*x)+x**2)*((1-(34*x))+x**2)))] }
-
-
-
-def A099938():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((2*x**2)-(5*x))+1))/((x-1)*((x**2-(6*x))+1))))] }
-
-
-
-def A099942():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)+x**2+(2*x)+1)/(((2*x**4)-(3*x**2))+1))] }
-
-
-
-def A099976():
- x = SR.var('x')
- return { 'ogf': [((2*sqrt(2))/sqrt((1-(16*x)))/sqrt((1+sqrt((1-(16*x))))))] }
-
-
-
-def A100040():
- x = SR.var('x')
- return { 'ogf': [((((-5)+(13*x))-(4*x**2))/(1-x)**3)] }
-
-
-
-def A100047():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/((((1-x)+x**2)-x**3)+x**4))] }
-
-
-
-def A100048():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/((((1-(2*x))+x**2)-(2*x**3))+x**4))] }
-
-
-
-def A100049():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1+x**2)**2)/(((1+(2*x**2))-x**3)+(2*x**4)+x**6))] }
-
-
-
-def A100050():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2)**3*(1-x**3)**2)/((1-x)**2*(1-x**6)**2)),
-((x*(1-x**2))/((1-x)+x**2)**2)] }
-
-
-
-def A100051():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-x)+x**2))] }
-
-
-
-def A100052():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1+x+x**2))/((1-x)+x**2)**2)] }
-
-
-
-def A100059():
- x = SR.var('x')
- return { 'ogf': [((((2*x**2)-(2*x)-1)*x)/(((-(2*x**3))+x**2+(3*x))-1))] }
-
-
-
-def A100062():
- x = SR.var('x')
- return { 'ogf': [((9*x)/(1-(9*x)))] }
-
-
-
-def A100063():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2))/(1-x**3))] }
-
-
-
-def A100066():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x**2)*sqrt((1-(4*x**2)))))] }
-
-
-
-def A100067():
- x = SR.var('x')
- return { 'ogf': [(x/(sqrt((1-(4*x**2)))*((sqrt((1-(4*x**2)))+x)-1)))] }
-
-
-
-def A100068():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(sqrt((1-(4*x**2)))*(((3*sqrt((1-(4*x**2))))+(2*x))-3)))] }
-
-
-
-def A100069():
- x = SR.var('x')
- return { 'ogf': [(x/(sqrt((1-(4*x**2)))*(((2*sqrt((1-(4*x**2))))+x)-2)))] }
-
-
-
-def A100071():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-sqrt((1-(4*x**2)))))/(sqrt((1-(4*x**2)))*((sqrt((1-(4*x**2)))+(2*x))-1)**2)),
-(x/((1-(2*x))*sqrt((1-(4*x**2)))))] }
-
-
-
-def A100095():
- x = SR.var('x')
- return { 'ogf': [(((x**2*sqrt((1-(4*x**2))))+(x*(1-(4*x**2))))/((1-(4*x**2))*(1-(5*x**2))))] }
-
-
-
-def A100096():
- x = SR.var('x')
- return { 'ogf': [((x*sqrt((1-(4*x**2)))*((3*sqrt((1-(4*x**2))))+(2*x)+1))/(2*((4*x**2)-1)*(((10*x**2)+x)-2)))] }
-
-
-
-def A100097():
- x = SR.var('x')
- return { 'ogf': [((x*sqrt((1-(4*x**2)))*(sqrt((1-(4*x**2)))+(2*x)))/((1-(4*x**2))*(1-(8*x**2))))] }
-
-
-
-def A100098():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*sqrt((1-(4*x**2)))))/(4-(2*x)-(20*x**2)))] }
-
-
-
-def A100103():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(9*x**2))/((1-x)**2*(1-(4*x))))] }
-
-
-
-def A100104():
- x = SR.var('x')
- return { 'ogf': [((((x**3+(7*x**2))-(3*x))+1)/(x-1)**4)] }
-
-
-
-def A100119():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(5*x**2))-x**3)/(x-1)**4)] }
-
-
-
-def A100132():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(2*x))**2-(2*x**4)))] }
-
-
-
-def A100133():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(2*x))**2-(3*x**4)))] }
-
-
-
-def A100134():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-x)**3-x**6))] }
-
-
-
-def A100135():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-x)**3-(2*x**6)))] }
-
-
-
-def A100136():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-x)**3-(3*x**6)))] }
-
-
-
-def A100137():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))**2/((1-(2*x))**3-x**6))] }
-
-
-
-def A100138():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))**2/((1-(2*x))**3-(2*x**6)))] }
-
-
-
-def A100139():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))**2/((1-(2*x))**3-(3*x**6)))] }
-
-
-
-def A100145():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(116*x)+(105*x**2)))/(1-x)**4)] }
-
-
-
-def A100146():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(44*x)+(35*x**2)))/(1-x)**4)] }
-
-
-
-def A100147():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(26*x)+(21*x**2)))/(1-x)**4)] }
-
-
-
-def A100148():
- x = SR.var('x')
- return { 'ogf': [((x*((x*((51*x)+56))+1))/(x-1)**4)] }
-
-
-
-def A100149():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+(16*x**2)))/(1-x)**4)] }
-
-
-
-def A100150():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+(17*x**2)))/(1-x)**4)] }
-
-
-
-def A100151():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(56*x)+(52*x**2)))/(1-x)**4)] }
-
-
-
-def A100152():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+(10*x**2)))/(1-x)**4)] }
-
-
-
-def A100153():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(56*x)+(42*x**2)))/(1-x)**4)] }
-
-
-
-def A100154():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(56*x)+(48*x**2)))/(1-x)**4)] }
-
-
-
-def A100155():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+(13*x**2)))/(1-x)**4)] }
-
-
-
-def A100156():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x*(x+4))+1))/(x-1)**4)] }
-
-
-
-def A100157():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+(5*x**2)))/(x-1)**4)] }
-
-
-
-def A100158():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(58*x)+(51*x**2)))/(1-x)**4)] }
-
-
-
-def A100159():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(58*x)+(55*x**2)))/(1-x)**4)] }
-
-
-
-def A100160():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(57*x)))/(1-x)**4)] }
-
-
-
-def A100161():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(22*x)+(17*x**2)))/(1-x)**4)] }
-
-
-
-def A100162():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(22*x)+(19*x**2)))/(1-x)**4)] }
-
-
-
-def A100163():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(22*x)+(21*x**2)))/(1-x)**4)] }
-
-
-
-def A100166():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(58*x)+(53*x**2)))/(1-x)**4)] }
-
-
-
-def A100167():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(34*x)+(25*x**2)))/(1-x)**4)] }
-
-
-
-def A100168():
- x = SR.var('x')
- return { 'ogf': [(((28*x**2)+(34*x)+1)/(x-1)**4)] }
-
-
-
-def A100169():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(88*x)+(76*x**2)))/(1-x)**4)] }
-
-
-
-def A100170():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(88*x)+(82*x**2)))/(1-x)**4)] }
-
-
-
-def A100171():
- x = SR.var('x')
- return { 'ogf': [(((10*x**2)+(10*x)+1)/(x-1)**4)] }
-
-
-
-def A100172():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(28*x)+(28*x**2)))/(1-x)**4)] }
-
-
-
-def A100173():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(28*x)+(26*x**2)))/(1-x)**4)] }
-
-
-
-def A100174():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(9*x)))/(1-x)**4)] }
-
-
-
-def A100175():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1)**2)/(x-1)**4)] }
-
-
-
-def A100176():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(5*x**2)))/(1-x)**4)] }
-
-
-
-def A100177():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(8*x**2)+(4*x**3)))/(1-x)**5)] }
-
-
-
-def A100178():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(3*x**2)))/((((1-(4*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A100179():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(4*x**2)))/(1-x)**4)] }
-
-
-
-def A100182():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A100183():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(4*x**2)))/(1-x)**4)] }
-
-
-
-def A100184():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(6*x**2)))/(1-x)**4)] }
-
-
-
-def A100185():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(9*x**2)+(3*x**3)))/(1-x)**5)] }
-
-
-
-def A100186():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(9*x**2)))/(1-x)**4)] }
-
-
-
-def A100187():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(14*x)+(11*x**2)))/(1-x)**4)] }
-
-
-
-def A100188():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+(7*x**2))-x**3))/(1-x)**5)] }
-
-
-
-def A100189():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(7*x**2)))/(1-x)**5)] }
-
-
-
-def A100190():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(9*x**2)))/((1-(3*x))**2*(1-x)**2))] }
-
-
-
-def A100192():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(4*x)))+1)/(sqrt((1-(4*x)))*((3*sqrt((1-(4*x))))-1))),
-((sqrt((1-(4*x)))*((sqrt((1-(4*x)))-(3*x))+1))/((1-(4*x))*(2-(9*x))))] }
-
-
-
-def A100193():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(4*x)))+1)/(sqrt((1-(4*x)))*((4*sqrt((1-(4*x))))-2))),
-((sqrt((1-(4*x)))*(((3*sqrt((1-(4*x))))-(8*x))+3))/((1-(4*x))*(6-(32*x))))] }
-
-
-
-def A100213():
- x = SR.var('x')
- return { 'ogf': [((x*(((((4-(7*x))+(2*x**2))-(8*x**4))+(16*x**5))-(16*x**6)))/(((2*x)-1)*((2*x**2)-1)*(((2*x**2)-(2*x))+1)*((2*x**2)+1)))] }
-
-
-
-def A100225():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+sqrt((1+(8*x**2))))/2)] }
-
-
-
-def A100227():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(3*x**2))/((x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A100238():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1+(2*x))-sqrt(((1+(4*x))-(4*x**2)))))] }
-
-
-
-def A100242():
- x = SR.var('x')
- return { 'ogf': [((x**5+(32*x**4)+(66*x**3)+(20*x**2)+x)/(x-1)**6)] }
-
-
-
-def A100255():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+(29*x**2)+(4*x**3)))/(1-x)**5)] }
-
-
-
-def A100256():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(29*x)+(20*x**2)+x**3))/(1-x)**5)] }
-
-
-
-def A100261():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**11-x**10)+(2*x**9))-(2*x**8))+x**7)-(8*x**6)-x**5-(2*x**4)-(2*x**3)-x**2-x-4))/((x-1)**2*(x+1)**2*((x**2-x)+1)**2*(x**2+x+1)**2)))] }
-
-
-
-def A100295():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1))/((x**3-(2*x**2)-(4*x))+1)))] }
-
-
-
-def A100296():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-(2*x)-1))/((x**3-(2*x**2)-(4*x))+1)))] }
-
-
-
-def A100297():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(11*x))+1))/(((x**3-(14*x**2))+(17*x))-1)))] }
-
-
-
-def A100299():
- x = SR.var('x')
- return { 'ogf': [(((((1/2)*x**2)/(1+x))+(x/8))-((7*x**2)/8)-((1/8)*x*sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A100300():
- x = SR.var('x')
- return { 'ogf': [(((-(((1/2)*x**2)/(1+x)))+(x/8)+(x**2/8))-((x/8)*sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A100312():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1-x)**2)/(1-(2*x))**3)] }
-
-
-
-def A100313():
- x = SR.var('x')
- return { 'ogf': [((16*x*(1-x)**2)/(1-(2*x))**4)] }
-
-
-
-def A100321():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-(3*x**3))/(((1+(2*x))-(2*x**2)-(3*x**3))+(2*x**4)))] }
-
-
-
-def A100329():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x+x**2+x**3)-x**4))] }
-
-
-
-def A100334():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((((1-(3*x))+(4*x**2))-(2*x**3))+x**4))] }
-
-
-
-def A100335():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((((1-(5*x))+(9*x**2))-(8*x**3))+(4*x**4)))] }
-
-
-
-def A100381():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2)/((2*x)-1)**3))] }
-
-
-
-def A100406():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**8)+(18*x**7)+(174*x**6)+(9*x**5)+(157842*x**4)+(147*x**3)+(9*x**2)+(124875*x)+1))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A100412():
- x = SR.var('x')
- return { 'ogf': [(((62*x)+1)/((x-1)*((10*x)-1)))] }
-
-
-
-def A100413():
- x = SR.var('x')
- return { 'ogf': [((4*x*((5*x)+13))/((x-1)*((10*x)-1)))] }
-
-
-
-def A100434():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(3+x))/(1+(6*x**2)+x**4))] }
-
-
-
-def A100503():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x**2)+(2*x**3))/(1-x)**4)] }
-
-
-
-def A100504():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(3*x**2)))/(1-x)**4)] }
-
-
-
-def A100525():
- x = SR.var('x')
- return { 'ogf': [((4-(2*x))/((1-(6*x))+x**2))] }
-
-
-
-def A100531():
- x = SR.var('x')
- return { 'ogf': [(((7*x**4)+(6*x**3)+(4*x**2)+(2*x)+1)/((x-1)**2*(x**3+x**2+x+1)))] }
-
-
-
-def A100532():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*((3*x**2)+(3*x)+2))/((-1)+x+x**2+x**3+x**4))] }
-
-
-
-def A100536():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(7*x))-(2*x**2)))/(1-x)**3)] }
-
-
-
-def A100542():
- x = SR.var('x')
- return { 'ogf': [((x*((((((3*x**5)-(11*x**4))+(19*x**3))-(21*x**2))+(14*x))-5))/(x-1)**3)] }
-
-
-
-def A100545():
- x = SR.var('x')
- return { 'ogf': [((7-(2*x))/((x**2-(3*x))+1))] }
-
-
-
-def A100575():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x))**2*(1-(4*x))))] }
-
-
-
-def A100579():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**8+(2*x**7)+(58*x**6)+(17*x**5)+(158*x**4)+(49*x**3)+(7*x**2)+(125*x)+1))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A100583():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x+2)*((2*x)+1))/((x-1)**4*(x+1)))] }
-
-
-
-def A100601():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**8)+(11*x**7)+(333*x**6)+(100*x**5)+(1001*x**4)+(333*x**3)+(50*x**2)+(1001*x)+9))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A100638():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(2*x**4)+(2*x**7)))/(1-(5*x**4)-(2*x**8)))] }
-
-
-
-def A100691():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)*(1+x+x**2))/((1-x)*(1-(2*x)-x**3)))] }
-
-
-
-def A100692():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(4*x**2)+(4*x**3)+(4*x**4)+(4*x**5)+(2*x**6))/(1-(2*x**4)))] }
-
-
-
-def A100693():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2)+(5*x**3)+(4*x**4)+(3*x**5)+(3*x**6)+(4*x**7)+(2*x**8)+(4*x**10)+(2*x**11))/(1-(2*x**4)))] }
-
-
-
-def A100702():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((2*x)-1))/(((3*x)-1)*(x-1))))] }
-
-
-
-def A100705():
- x = SR.var('x')
- return { 'ogf': [((1+x+(3*x**2)+x**3)/(x-1)**4)] }
-
-
-
-def A100720():
- x = SR.var('x')
- return { 'ogf': [(((3+x+(2*x**2))-(2*x**3))/((1-(2*x))*(1+x**2)))] }
-
-
-
-def A100727():
- x = SR.var('x')
- return { 'ogf': [(((x**4-x**2-1)*((x**6+x**5+x**4)-x**3-x**2-x-1))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A100775():
- x = SR.var('x')
- return { 'ogf': [((101-(4*x))/(x-1)**2)] }
-
-
-
-def A100779():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+(4*x**3)+(2*x**4)+x**5+(3*x**6))/((1-x)**2*(1-x**2)*(1-x**3)**2))] }
-
-
-
-def A100832():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x))*((1+x)-x**2))/((1-x-x**2)+x**3))] }
-
-
-
-def A100855():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(8*x**2)+x**3))/(1-x)**5)] }
-
-
-
-def A101000():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-x**3))] }
-
-
-
-def A101089():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(10*x)+x**2))/(1-x)**7)] }
-
-
-
-def A101090():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(10*x)+x**2))/(1-x)**8)] }
-
-
-
-def A101091():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(10*x)+x**2))/(1-x)**9)] }
-
-
-
-def A101092():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(1-x)**8)] }
-
-
-
-def A101093():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**4+(56*x**3)+(246*x**2)+(56*x)+1))/(x-1)**9))] }
-
-
-
-def A101094():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(4*x)+x**2))/(x-1)**7))] }
-
-
-
-def A101095():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(1-x)**2)] }
-
-
-
-def A101096():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(26*x**3)+(66*x**2)+(26*x)+1))/(x-1)**3))] }
-
-
-
-def A101097():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/(1-x)**8)] }
-
-
-
-def A101099():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(1-x)**9)] }
-
-
-
-def A101100():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(26*x)+(66*x**2)+(26*x**3)+x**4))/(1-x))] }
-
-
-
-def A101101():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/(1-x))] }
-
-
-
-def A101102():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(4*x)+1))/(x-1)**9))] }
-
-
-
-def A101103():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+(10*x)+1))/(x-1)**2)] }
-
-
-
-def A101104():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(11*x)+(11*x**2)+x**3))/(1-x))] }
-
-
-
-def A101106():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((((1-(6*x))+(3*x**2))-(6*x**3))+x**4)))] }
-
-
-
-def A101152():
- x = SR.var('x')
- return { 'ogf': [((x*((111+(1149*x)+(447*x**2))-(93*x**3)-(383*x**4)-(93*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A101156():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5*((7*x)+5))/((x**2+x)-1)))] }
-
-
-
-def A101166():
- x = SR.var('x')
- return { 'ogf': [(((-x**4)-(4*x**3)-(6*x**2)-(4*x))/(x-1)**5)] }
-
-
-
-def A101168():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(2*x)-(2*x**2)-x**3))] }
-
-
-
-def A101169():
- x = SR.var('x')
- return { 'ogf': [(-((x+1)/(((-x**3)+(3*x**2)+(2*x))-1)))] }
-
-
-
-def A101180():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((8*x**6)+(663*x**5)+(14968*x**4)+(26520*x**3)+(14968*x**2)+(663*x)+8))/((x-1)*((x**4-(340*x**2))+1)*(x**4+(340*x**2)+1))))] }
-
-
-
-def A101197():
- x = SR.var('x')
- return { 'ogf': [(-((x+1)/(((-(2*x**3))+(3*x**2)+(2*x))-1)))] }
-
-
-
-def A101202():
- x = SR.var('x')
- return { 'ogf': [((142857*x)/(1-x)**2)] }
-
-
-
-def A101213():
- x = SR.var('x')
- return { 'ogf': [(-((12*(x**4+(17*x**3)+(33*x**2)+(9*x)))/(x-1)**7))] }
-
-
-
-def A101229():
- x = SR.var('x')
- return { 'ogf': [((x*(((17*x**10)+(27*x**8)+(7*x**3))-1))/((2*x)-1))] }
-
-
-
-def A101272():
- x = SR.var('x')
- return { 'ogf': [((1-x**6)/(1-x)**2)] }
-
-
-
-def A101278():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(4*x**2))*(1+(3*x**3)+(9*x**6))*(1+(5*x**9)+(25*x**18)))] }
-
-
-
-def A101291():
- x = SR.var('x')
- return { 'ogf': [((45*x*(1-x))/((1-(110*x))+(1000*x**2)))] }
-
-
-
-def A101308():
- x = SR.var('x')
- return { 'ogf': [((((1-x**2)+x**3)-sqrt((((1-x**2)+x**3)*(((1-(4*x))+(3*x**2))-(3*x**3)))))/(2*x*((1-x)+x**2)))] }
-
-
-
-def A101338():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(4*x**2))-x**3)/(1-x)**5)] }
-
-
-
-def A101351():
- x = SR.var('x')
- return { 'ogf': [(((2-(4*x))+x**2)/((x-1)*((2*x)-1)*(1-x-x**2)))] }
-
-
-
-def A101352():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2-(4*x))+2))/(((2*x)-1)*((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A101353():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/((1-x)*((2*x)-1)*((x**2+x)-1)))] }
-
-
-
-def A101357():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((4*x**2)-(2*x))+1))/(x-1)**5))] }
-
-
-
-def A101362():
- x = SR.var('x')
- return { 'ogf': [((2*x*((8*x**3)+(33*x**2)+(18*x)+1))/(x-1)**6)] }
-
-
-
-def A101368():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(5*x))+(3*x**2)))/((1-x)*((1-(5*x))+x**2)))] }
-
-
-
-def A101376():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(30*x**2)+(20*x**3)+x**4))/(x-1)**6)] }
-
-
-
-def A101381():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(23*x)+(111*x**2)+(95*x**3)+(10*x**4)))/(1-x)**7)] }
-
-
-
-def A101386():
- x = SR.var('x')
- return { 'ogf': [((5-(3*x))/((x**2-(6*x))+1))] }
-
-
-
-def A101455():
- x = SR.var('x')
- return { 'ogf': [((x-x**3)/(1-x**4))] }
-
-
-
-def A101463():
- x = SR.var('x')
- return { 'ogf': [((x**3+x**2+(2*x)+1)/(x**4+(5*x**2)+1)),
-((1+(2*x)+x**2+x**3)/(1+(5*x**2)+x**4))] }
-
-
-
-def A101467():
- x = SR.var('x')
- return { 'ogf': [((x*((((((2700*x**5)-(5460*x**4))+(3579*x**3))-(1028*x**2))+(147*x))-10))/((x-1)*((2*x)-1)*((3*x)-1)*((5*x)-1)*((10*x)-1)))] }
-
-
-
-def A101488():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))**(3/2)-1)+(8*x))-(2*x**2))/(2*x*(1+x)))] }
-
-
-
-def A101499():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1+x**2))-sqrt(((1-(4*x))+x**2)))/(2*x*sqrt((1+x**2))))] }
-
-
-
-def A101500():
- x = SR.var('x')
- return { 'ogf': [(1/(sqrt((1+x**2))*sqrt(((1-(4*x))+x**2))))] }
-
-
-
-def A101502():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-(8*x**2))+(8*x**3))/((1-(4*x))*((1+(2*x))-(4*x**2))))] }
-
-
-
-def A101551():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x)**3-x**6))] }
-
-
-
-def A101600():
- x = SR.var('x')
- return { 'ogf': [(4/(1+sqrt((1-(12*x))))**2)] }
-
-
-
-def A101601():
- x = SR.var('x')
- return { 'ogf': [(8/(1+sqrt((1-(12*x))))**3)] }
-
-
-
-def A101602():
- x = SR.var('x')
- return { 'ogf': [(16/(1+sqrt((1-(12*x))))**4)] }
-
-
-
-def A101604():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1-(3*x)-(2*x**2))))] }
-
-
-
-def A101622():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/((1-x)*(1+x)*(1-(2*x))))] }
-
-
-
-def A101675():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1+x**2+x**4))] }
-
-
-
-def A101676():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x)*(1+x**2+x**4)))] }
-
-
-
-def A101677():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x)**2*(1+x**2+x**4)))] }
-
-
-
-def A101825():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/(1-x**3))] }
-
-
-
-def A101850():
- x = SR.var('x')
- return { 'ogf': [(2/(((3*sqrt((1-(4*x))))+(2*x))-1))] }
-
-
-
-def A101854():
- x = SR.var('x')
- return { 'ogf': [((x*((6-(6*x))+x**2))/(1-x)**5)] }
-
-
-
-def A101855():
- x = SR.var('x')
- return { 'ogf': [((x*((6-(6*x))+x**2))/(x-1)**6)] }
-
-
-
-def A101859():
- x = SR.var('x')
- return { 'ogf': [((11-(10*x))/(1-x)**3)] }
-
-
-
-def A101860():
- x = SR.var('x')
- return { 'ogf': [((((1+(20*x))-(30*x**2))+(10*x**3))/(x-1)**4)] }
-
-
-
-def A101861():
- x = SR.var('x')
- return { 'ogf': [((x*(x-2)*((x**2-(12*x))+12))/(x-1)**5)] }
-
-
-
-def A101862():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-2)*((x**2-(12*x))+12))/(x-1)**6))] }
-
-
-
-def A101881():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x**3)-x)/((x+1)**2*(x-1)**3))] }
-
-
-
-def A101882():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+x**2)-x**4-x**5))/((1+x+x**2)**2*(1-x)**3))] }
-
-
-
-def A101883():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+x**2+x**3)-x**5-x**6-x**7))/((1+x)**2*(x**2+1)**2*(1-x)**3))] }
-
-
-
-def A101893():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x))/(((1-(4*x))+(4*x**2))-(2*x**4)))] }
-
-
-
-def A101946():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**2)+1)/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A101986():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(2-x))/(1-x)**4)] }
-
-
-
-def A102000():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x)+(4*x**3))/((-1)+x+(2*x**2)+(4*x**3)+(8*x**4)))] }
-
-
-
-def A102002():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**2)+(6*x)+1))/(((4*x**3)+(2*x**2)+x)-1)))] }
-
-
-
-def A102026():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+(4*x**2))-((x**3*(7+(6*x)+(5*x**2)+(4*x**3)+(3*x**4)))/((-1)+x+x**2+x**3+x**4+x**5)))] }
-
-
-
-def A102039():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x**4)+(2*x**3)+(2*x**2)+1))/((x-1)**2*(x**2+1)))] }
-
-
-
-def A102042():
- x = SR.var('x')
- return { 'ogf': [((((-(5*x**4))-(2*x**3))+(8*x**2)+9)/((x-1)**2*(x**2+1)))] }
-
-
-
-def A102052():
- x = SR.var('x')
- return { 'ogf': [((8*(1-x))/(1+sqrt(((1+(4*x))-(4*x**2))))**3)] }
-
-
-
-def A102053():
- x = SR.var('x')
- return { 'ogf': [((32*(1-x)**2)/(1+sqrt(((1+(4*x))-(4*x**2))))**5)] }
-
-
-
-def A102071():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x))/((1-x)+sqrt((1-(2*x)-(3*x**2))))**2)] }
-
-
-
-def A102081():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5-x-(5*x**2)-x**3))/((1+x)*((1-(2*x))+x**3)))] }
-
-
-
-def A102083():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(5*x**2))/(1-x)**3)] }
-
-
-
-def A102090():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((-47)-(87*x))+(66*x**2)+(122*x**3))-(36*x**4)-(40*x**5))+(5*x**6)+(3*x**7)))/((x**2-1-x)*(x+1)*(((x**5-x**4-(9*x**3))+(9*x**2)+(5*x))-1))))] }
-
-
-
-def A102091():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1-(2*x))*(3-x))/((1-x)*((1-(4*x))+x**2)))] }
-
-
-
-def A102094():
- x = SR.var('x')
- return { 'ogf': [(((x**3-x**2)+(39*x)+9)/(x-1)**4)] }
-
-
-
-def A102169():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((((((((((((((x**24-(25*x**23))+(300*x**22))-(2300*x**21))+(12650*x**20))-(53060*x**19))+(175980*x**18))-(472300*x**17))+(1042375*x**16))-(1915575*x**15))+(2962780*x**14))-(3894200*x**13))+(4384980*x**12))-(4251000*x**11))+(3547700*x**10))-(2533840*x**9))+(1532975*x**8))-(776575*x**7))+(325880*x**6))-(111900*x**5))+(30750*x**4))-(6500*x**3))+(1000*x**2))-(100*x))+5))/(x-1)**25))] }
-
-
-
-def A102206():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)*(x-3))/((1-x)*((x**2-(4*x))+1)))] }
-
-
-
-def A102207():
- x = SR.var('x')
- return { 'ogf': [(((3*x)-4)/((x-1)*((x**2-(4*x))+1)))] }
-
-
-
-def A102214():
- x = SR.var('x')
- return { 'ogf': [(-(((4*x**2)+(4*x)+1)/((x+1)*(x-1)**3)))] }
-
-
-
-def A102239():
- x = SR.var('x')
- return { 'ogf': [(-((((-1)-(2*x))+(5*x**2))/((x-1)*((5*x)-1)*(1+x))))] }
-
-
-
-def A102283():
- x = SR.var('x')
- return { 'ogf': [(x/(1+x+x**2))] }
-
-
-
-def A102285():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(((7*x**2)-(6*x))+1))] }
-
-
-
-def A102301():
- x = SR.var('x')
- return { 'ogf': [(1/((x+1)*(1-x)*((2*x)-1)**2))] }
-
-
-
-def A102302():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*((x**4+x**3)-x**2-3))/((x-1)**2*(x+1)*(x**2+1))))] }
-
-
-
-def A102312():
- x = SR.var('x')
- return { 'ogf': [(-((5*x)/((-1)+(11*x)+x**2)))] }
-
-
-
-def A102318():
- x = SR.var('x')
- return { 'ogf': [((2-sqrt(((1-(3*x))/(1+x)))-sqrt(((1-(5*x))/(1-x))))/(4*x))] }
-
-
-
-def A102319():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt(((1-(6*x))+(5*x**2))))+(1/sqrt((1-(2*x)-(3*x**2)))))/2)] }
-
-
-
-def A102341():
- x = SR.var('x')
- return { 'ogf': [((12*x)/(((x**2-(14*x))+1)*(x**2+(4*x)+1)))] }
-
-
-
-def A102344():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(21*x))+x**2))/((1-(14*x))+x**2))] }
-
-
-
-def A102406():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-sqrt(((1-(2*x)-(5*x**2)-(2*x**3))+x**4)))/(2*x*(1+x)**2))] }
-
-
-
-def A102407():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2-sqrt(((1-(2*x)-(5*x**2)-(2*x**3))+x**4)))/(2*x)),
-((((((((((x**13-(125*x**12))+(15*x**11)+(561*x**10))-(76*x**9)-(930*x**8))+(295*x**7)+(685*x**6))-(408*x**5)-(162*x**4))+(227*x**3))-(87*x**2))+(15*x))-1)/((((((((((128*x**13)-(257*x**12)-(516*x**11))+(1003*x**10)+(688*x**9))-(1594*x**8)-(124*x**7))+(1203*x**6))-(424*x**5)-(314*x**4))+(300*x**3))-(101*x**2))+(16*x))-1))] }
-
-
-
-def A102420():
- x = SR.var('x')
- return { 'ogf': [(x**5+x**6+(2*x**7)+(3*x**8)+(5*x**9)+(6*x**10)+(8*x**11)+(9*x**12)+(11*x**13)+(11*x**14)+(12*x**15)+(11*x**16)+(11*x**17)+(9*x**18)+(8*x**19)+(6*x**20)+(5*x**21)+(3*x**22)+(2*x**23)+x**24+x**25)] }
-
-
-
-def A102422():
- x = SR.var('x')
- return { 'ogf': [(1+x+(2*x**2)+(3*x**3)+(5*x**4)+(7*x**5)+(9*x**6)+(11*x**7)+(14*x**8)+(16*x**9)+(18*x**10)+(19*x**11)+(20*x**12)+(20*x**13)+(19*x**14)+(18*x**15)+(16*x**16)+(14*x**17)+(11*x**18)+(9*x**19)+(7*x**20)+(5*x**21)+(3*x**22)+(2*x**23)+x**24+x**25)] }
-
-
-
-def A102429():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)-x**3)/((1-x)*((1-x-(2*x**2))+x**4)))] }
-
-
-
-def A102436():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(6*x)-(4*x**2))+x**3))] }
-
-
-
-def A102485():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(2*x))*(1-(3*x))))] }
-
-
-
-def A102486():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x))/((1-(4*x))+(5*x**2)))] }
-
-
-
-def A102516():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-x)**3-x**6))] }
-
-
-
-def A102517():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)**2/((1+x**2)**3+x**6))+((x*(1+x**2))/((1+x**2)**3+x**6)))] }
-
-
-
-def A102526():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((x**3+x)-1))/(((x**2+x)-1)*((x**4+x**2)-1))))] }
-
-
-
-def A102543():
- x = SR.var('x')
- return { 'ogf': [((-(1/2))*((1/((x**3+x)-1))+((1+x+x**3)/((x**6+x**2)-1))))] }
-
-
-
-def A102560():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1+x+x**2+x**3))] }
-
-
-
-def A102591():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(8*x))+(4*x**2)))] }
-
-
-
-def A102592():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(12*x))+(16*x**2)))] }
-
-
-
-def A102620():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((1-x)**3-(2*x**2)))] }
-
-
-
-def A102650():
- x = SR.var('x')
- return { 'ogf': [((4+(4*x)+(4*x**2))/((x-1)*((2*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A102651():
- x = SR.var('x')
- return { 'ogf': [(((4+(4*x))-(4*x**4))/((x-1)*((2*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A102652():
- x = SR.var('x')
- return { 'ogf': [(4/((x-1)*((2*x)-1)*(x**2+1)))] }
-
-
-
-def A102653():
- x = SR.var('x')
- return { 'ogf': [(((4+(4*x**2))-(4*x**3))/((x-1)*((2*x)-1)*(x**2+1)))] }
-
-
-
-def A102699():
- x = SR.var('x')
- return { 'ogf': [((x*((2*(1-x))-sqrt((1-(4*x**2)))))/(1-(2*x))**2)] }
-
-
-
-def A102702():
- x = SR.var('x')
- return { 'ogf': [((2-x-(2*x**2)-x**3)/(((x**4+(2*x**3))-x**2-(2*x))+1))] }
-
-
-
-def A102709():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(((60*x**14)+(480*x**13)+(2360*x**12)+(2584*x**11)+(3099*x**10)+(2188*x**9))-(522*x**8)-(4057*x**7)-(8367*x**6)-(9981*x**5)-(12231*x**4)-(9965*x**3)-(8310*x**2)-(4200*x)-3125))/((x-1)*(x+1)*((x**2-x)+1)*(x**2+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A102714():
- x = SR.var('x')
- return { 'ogf': [((x+2)/((x+1)*((x**2-(3*x))+1)))] }
-
-
-
-def A102741():
- x = SR.var('x')
- return { 'ogf': [(-((81*x)/(x-1)**5))] }
-
-
-
-def A102762():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**4+(4*x**3))-(7*x**2))+(5*x))-1)/(x-1)**3))] }
-
-
-
-def A102785():
- x = SR.var('x')
- return { 'ogf': [((x-1)/(((-(2*x**2))+(3*x**3)+(2*x))-1))] }
-
-
-
-def A102807():
- x = SR.var('x')
- return { 'ogf': [(((1-(95*x))+(490*x**2))/((1-x)*((100*x)-1)*((10*x)-1)))] }
-
-
-
-def A102839():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(3*x**2))**(3/2))] }
-
-
-
-def A102841():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1-(2*x))**3))] }
-
-
-
-def A102860():
- x = SR.var('x')
- return { 'ogf': [((16*x**3)/(1-x)**4)] }
-
-
-
-def A102865():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(3-(3*x)-(4*x**2)))/((1-x)*(1+x)*(1-(4*x)))))] }
-
-
-
-def A102871():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-1)/(((x**3-(5*x**2))+(5*x))-1))] }
-
-
-
-def A102875():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-x-x**2-x**4)+x**5))/(((x**2+x)-1)*((x**4-x**3)+(2*x**2)+x+1)))] }
-
-
-
-def A102879():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/sqrt(((((1-(4*x))+(2*x**2))-(4*x**3))+x**4)))] }
-
-
-
-def A102881():
- x = SR.var('x')
- return { 'ogf': [((1+x)/sqrt(((1-(2*x)-(2*x**2))*(1+(2*x)+(2*x**2)))))] }
-
-
-
-def A102882():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/sqrt(((1+(4*x)+(2*x**2))-(12*x**3)-(15*x**4))))] }
-
-
-
-def A102898():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((3*sqrt((1-(4*x**2))))+(2*x))-3))] }
-
-
-
-def A102900():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(3*x)-(4*x**2)))] }
-
-
-
-def A102901():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+(2*x))*(1-(3*x))))] }
-
-
-
-def A102902():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(9*x))+(16*x**2)))] }
-
-
-
-def A102905():
- x = SR.var('x')
- return { 'ogf': [((x*(((((2*x**9)-x**8-(4*x**7))+(2*x**6)+(2*x**5)+(2*x**4))-(4*x**3)-(4*x**2))+3))/((x-1)*(x+1)*(x**2+1)*((x**2+x)-1)*(x**4+1)))] }
-
-
-
-def A102909():
- x = SR.var('x')
- return { 'ogf': [((x**8+(162*x**7)+(3418*x**6)+(14212*x**5)+(16578*x**4)+(5482*x**3)+(466*x**2)+1)/(1-x)**9)] }
-
-
-
-def A103134():
- x = SR.var('x')
- return { 'ogf': [((x+3)/((x**2-(18*x))+1))] }
-
-
-
-def A103135():
- x = SR.var('x')
- return { 'ogf': [(((((-(3*x**3))-(18*x**2))+(14*x))-1)/((((3*x**4)-(5*x**2))+(4*x))-1))] }
-
-
-
-def A103142():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-x**2-x**3-x**4))] }
-
-
-
-def A103143():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2-(3*x**3)))] }
-
-
-
-def A103145():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))*((1+(3*x))-(3*x**2)))/(1-x)**4)] }
-
-
-
-def A103157():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**10+(317*x**9)+(23193*x**8)+(435669*x**7)+(2747685*x**6)+(6738399*x**5)+(6803373*x**4)+(2780367*x**3)+(412686*x**2)+(16640*x)+70))/(x-1)**13))] }
-
-
-
-def A103177():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))*(1-(2*x)))/((1-x)**2*(1-(3*x))))] }
-
-
-
-def A103196():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+1)/((1-(2*x))*(x+1)**2))] }
-
-
-
-def A103200():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**2))/((x-1)*((x**4-(8*x**2))+1))))] }
-
-
-
-def A103204():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(2*x)-x**2))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A103210():
- x = SR.var('x')
- return { 'ogf': [((1-x-((x**2-(10*x))+1)**(1/2))/(4*x))] }
-
-
-
-def A103211():
- x = SR.var('x')
- return { 'ogf': [((1-x-((x**2-(14*x))+1)**(1/2))/(6*x))] }
-
-
-
-def A103215():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)+(5*x**3)+(3*x**4)+(4*x**5)+(7*x**6)))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A103220():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(8*x)+(3*x**2)))/(x-1)**5))] }
-
-
-
-def A103221():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x**3)))] }
-
-
-
-def A103290():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x**2+1))/(x-1)**5))] }
-
-
-
-def A103311():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((((1-(3*x))+(4*x**2))-(2*x**3))+x**4))] }
-
-
-
-def A103312():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((1-(3*x))+(3*x**2)))] }
-
-
-
-def A103326():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*((x**4-(4*x**3)-(9*x**2))+(6*x)+1))/((x-1)*((x**2-(7*x))+1)*(x**2+(3*x)+1))))] }
-
-
-
-def A103333():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/(1-(8*x)))] }
-
-
-
-def A103334():
- x = SR.var('x')
- return { 'ogf': [(((1-(9*x))+(10*x**2))/((1-(10*x))+(16*x**2)))] }
-
-
-
-def A103372():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(1+x**2))/((-1)+x**4+x**5)))] }
-
-
-
-def A103373():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**2+x**3+x**4))/((-1)+x**5+x**6)))] }
-
-
-
-def A103374():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(1+x+x**2)*((x**2-x)+1))/((-1)+x**6+x**7)))] }
-
-
-
-def A103375():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**2+x**3+x**4+x**5+x**6))/((-1)+x**7+x**8)))] }
-
-
-
-def A103376():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x**2)*(1+x**4))/(1-x**8-x**9))] }
-
-
-
-def A103378():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9))/((-1)+x**10+x**11)))] }
-
-
-
-def A103379():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**11))/((1-x)*(1-x**11-x**12)))] }
-
-
-
-def A103380():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**12))/((1-x)*(1-x**12-x**13)))] }
-
-
-
-def A103424():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(4*x**2))/(1-(4*x**2)))] }
-
-
-
-def A103425():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x**2))/((1-x**2)*(1-(3*x))))] }
-
-
-
-def A103433():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+x**2))/(((1-(7*x))+x**2)*(1-x)**2))] }
-
-
-
-def A103434():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(((1-(7*x))+x**2)*(1-x)**2))] }
-
-
-
-def A103435():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A103453():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(3*x**2))/((1-x)*(1-(3*x))))] }
-
-
-
-def A103454():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(4*x**2))/((1-x)*(1-(4*x))))] }
-
-
-
-def A103455():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(5*x**2))/((1-x)*(1-(5*x))))] }
-
-
-
-def A103456():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(10*x**2))/((1-x)*(1-(10*x))))] }
-
-
-
-def A103457():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/((1-x)*(1-(3*x))))] }
-
-
-
-def A103458():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x**2))/((1-x)*(1-(7*x))))] }
-
-
-
-def A103459():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x**2))/((1-x)*(1-(8*x))))] }
-
-
-
-def A103460():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x**2))/((1-x)*(1-(9*x))))] }
-
-
-
-def A103461():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x**2))/((1-x)*(1+(10*x))))] }
-
-
-
-def A103469():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((x**6-x**5)+x**4)-x**3-x-1))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1))))] }
-
-
-
-def A103470():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((((((((((((x**17-(2*x**16))+(3*x**15))-(4*x**14))+(4*x**13))-(4*x**12))+(4*x**11))-(2*x**10))+(2*x**9))-(2*x**8))+(4*x**7))-x**6)+x**5+(3*x**4))-(3*x**3))+(3*x**2))-x)+3))/((x-1)**3*(x+1)*((x**2-x)+1)**2*(x**2+1)*(x**2+x+1)**2*((x**4-x**2)+1))))] }
-
-
-
-def A103486():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**3))+(2*x**2)+(4*x)+7)/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A103505():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(2*x**2)+(2*x**3))-x**4)/(1-x)**3)] }
-
-
-
-def A103532():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x)+(7*x**2))/(1-x)**4)] }
-
-
-
-def A103609():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/(1-x**2-x**4))] }
-
-
-
-def A103625():
- x = SR.var('x')
- return { 'ogf': [((2*(x**2+x+1))/(((1-x-(14*x**2))+(14*x**3)+x**4)-x**5))] }
-
-
-
-def A103632():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/(1-x-x**4))] }
-
-
-
-def A103644():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+1)/((1+(2*x))-(6*x**2)-(27*x**3)))] }
-
-
-
-def A103645():
- x = SR.var('x')
- return { 'ogf': [(((108*x**2)+(27*x)+1)/((1+(2*x))-(6*x**2)-(27*x**3)))] }
-
-
-
-def A103646():
- x = SR.var('x')
- return { 'ogf': [((9*((3*x)+1))/((1+(2*x))-(6*x**2)-(27*x**3)))] }
-
-
-
-def A103685():
- x = SR.var('x')
- return { 'ogf': [(x**2/((x-1)*((((2*x**3)-(4*x**2))+(4*x))-1)))] }
-
-
-
-def A103715():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**2+1)*(x**4+(2*x**3)+(14*x**2)+(2*x)+1))/((1-x)*((x**8-(82*x**4))+1)))] }
-
-
-
-def A103737():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((3*x**2)+(4*x)+3))/((x-1)*((x**4-(22*x**2))+1))))] }
-
-
-
-def A103768():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((x**3-(4*x**2))+(7*x))-3))/((x-1)**3*((2*x)-1)**2*((3*x)-1))))] }
-
-
-
-def A103769():
- x = SR.var('x')
- return { 'ogf': [((((3*x)+1)-(((21*x**2)-(10*x))+1)**(1/2))/(2*x*((3*x)-4)*((7*x)-1)))**(1/2)] }
-
-
-
-def A103770():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(3*x**2)-(9*x**3)))] }
-
-
-
-def A103772():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A103779():
- x = SR.var('x')
- return { 'ogf': [(-((2**(2/3)*((((3*sqrt(3)*sqrt(((27*x**2)+(14*x)+3)))-(27*x)-7)**(1/3)-((3*sqrt(3)*sqrt(((27*x**2)+(14*x)+3)))+(27*x)+7)**(1/3))+2**(1/3)))/6))] }
-
-
-
-def A103780():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(2*x**2)-(4*x**3)-(6*x**4)-(8*x**5)-(8*x**6)-(6*x**7)-(3*x**8)-x**9))] }
-
-
-
-def A103819():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*(1+x+x**2)*(1-(2*x)-(2*x**2))))] }
-
-
-
-def A103820():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(3*x)-(3*x**2))))] }
-
-
-
-def A103832():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x**2))*((1+(2*x))-x**2))/((1-x)**3*(1+x)**3))] }
-
-
-
-def A103897():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A103947():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(2*x**2))/(1-x**2))] }
-
-
-
-def A103948():
- x = SR.var('x')
- return { 'ogf': [(((6*x**5)-(3*x**4)-(30*x**3)-(39*x**2)-(28*x)-1)/((x-1)*(x+1)*(x**2+x+1)))] }
-
-
-
-def A103949():
- x = SR.var('x')
- return { 'ogf': [((((24*x**8)+(132*x**7)+(92*x**6))-(80*x**5)-(288*x**4)-(472*x**3)-(357*x**2)-(257*x)-1)/((x-1)*(x+1)*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A103950():
- x = SR.var('x')
- return { 'ogf': [((((120*x**16)+(1860*x**15)+(8520*x**14)+(43110*x**13)+(48594*x**12)+(67518*x**11)+(57786*x**10)+(26294*x**9))-(27373*x**8)-(89675*x**7)-(122940*x**6)-(160740*x**5)-(136773*x**4)-(117696*x**3)-(60014*x**2)-(46657*x)-1)/((x-1)*(x+1)*((x**2-x)+1)*(x**2+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A103973():
- x = SR.var('x')
- return { 'ogf': [((1/sqrt((1-(8*x**2))))+((1-sqrt((1-(8*x**2))))/(2*x)))] }
-
-
-
-def A103975():
- x = SR.var('x')
- return { 'ogf': [(-((16*x)/((x-1)*((x**2-(14*x))+1))))] }
-
-
-
-def A103978():
- x = SR.var('x')
- return { 'ogf': [((1/sqrt((1-(12*x**2))))+((1-sqrt((1-(12*x**2))))/(2*x)))] }
-
-
-
-def A103991():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x**5)-x**4-(3*x**3)-(21*x**2)-(5*x)-3))/((x-1)**2*(x**2+x+1)**2)))] }
-
-
-
-def A103998():
- x = SR.var('x')
- return { 'ogf': [((((1-(25*x**2))+(22*x**3))-(3*x**4))/((((1-(11*x))+(25*x**2))-(11*x**3))+x**4))] }
-
-
-
-def A104004():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x))/(((2*x)-1)*((x**2+x)-1)))] }
-
-
-
-def A104008():
- x = SR.var('x')
- return { 'ogf': [((120*x*(x+1))/(((x**2-(194*x))+1)*((x**2-(14*x))+1)))] }
-
-
-
-def A104009():
- x = SR.var('x')
- return { 'ogf': [((12*x**2*((x**2-(54*x))+1))/(((x**2-(194*x))+1)*((x**2-(14*x))+1)))] }
-
-
-
-def A104095():
- x = SR.var('x')
- return { 'ogf': [(((-(18*x**3))+x)/(((-x**4)-(10*x**3)-(19*x**2)-x)+1))] }
-
-
-
-def A104144():
- x = SR.var('x')
- return { 'ogf': [(x**8/(1-x-x**2-x**3-x**4-x**5-x**6-x**7-x**8-x**9))] }
-
-
-
-def A104161():
- x = SR.var('x')
- return { 'ogf': [((x*(((-x**2)+x)-1))/((x-1)**2*((x**2+x)-1)))] }
-
-
-
-def A104175():
- x = SR.var('x')
- return { 'ogf': [((8+(6*x)+(7*x**2)+(5*x**3)+(3*x**4)+(9*x**6))/(1-x**7))] }
-
-
-
-def A104187():
- x = SR.var('x')
- return { 'ogf': [(-((1+x**2+x**4)/(((x**3+x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A104188():
- x = SR.var('x')
- return { 'ogf': [((4*x*(3+(5*x)))/(1-x)**3)] }
-
-
-
-def A104220():
- x = SR.var('x')
- return { 'ogf': [((1-x**4-x**2)/((x-1)*((-1)+x**2+x)*(x**2+x+1)))] }
-
-
-
-def A104221():
- x = SR.var('x')
- return { 'ogf': [((2*x**3)/((x-1)*(1+x+x**2)*((x**2+x)-1)))] }
-
-
-
-def A104240():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(137*x)+(360*x**2)+(137*x**3)+(7*x**4)))/((1-x)*((1-(11*x))+x**2)*(1+(11*x)+(120*x**2)+(11*x**3)+x**4)))] }
-
-
-
-def A104249():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/(1-x)**3)] }
-
-
-
-def A104270():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(4*x**2)))/(1-(2*x))**3)] }
-
-
-
-def A104376():
- x = SR.var('x')
- return { 'ogf': [(((5461*x**12)+(1119288*x**11)+(37443654*x**10)+(372458048*x**9)+(1409085783*x**8)+(2.263446576E9*x**7)+(1598944452*x**6)+(484853760*x**5)+(57484467*x**4)+(2163032*x**3)+(16278*x**2)+1)/(x-1)**14)] }
-
-
-
-def A104449():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/(1-x-x**2))] }
-
-
-
-def A104454():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(14*x))+(45*x**2))))] }
-
-
-
-def A104455():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(7*x))/(1-(3*x)))))/(2*x))] }
-
-
-
-def A104473():
- x = SR.var('x')
- return { 'ogf': [(-((3*((x**2-(4*x))+5))/(x-1)**5))] }
-
-
-
-def A104487():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-1)/(((3*x)-1)*((x**2-(3*x))+1)))] }
-
-
-
-def A104506():
- x = SR.var('x')
- return { 'ogf': [((((1-x)/sqrt(((1-(2*x))+(5*x**2))))-1)/(2*x))] }
-
-
-
-def A104519():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((((((x**19-(2*x**18))+x**17)-x**14)+(2*x**13))-(3*x**12))+(2*x**11)+x**10)-(2*x**9))+(2*x**7))-x**6-x**5)+(2*x**4)+1))/((x-1)**3*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A104537():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1+(2*x)+(4*x**2))),
-((1+x)/(1+(2*x)+(4*x**2)))] }
-
-
-
-def A104545():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x**2*(1+x)**2))))/(2*x**2*(1+x)))] }
-
-
-
-def A104550():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-x-sqrt(((1-(6*x))+x**2))))/(2*sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A104553():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(6*x))+x**2)))/(2*(1-x)**2*sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A104563():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3+1))/((x**2+1)*(1-x)**3))] }
-
-
-
-def A104565():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1+(4*x)+(8*x**2)))-1-(2*x))/(2*x**2))] }
-
-
-
-def A104574():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2))))/(2*(1-x)**2*(1+x)*sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A104581():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**2*((1-x)+x**2)))] }
-
-
-
-def A104584():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(6*x)+(3*x**2)+(2*x**3)))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A104585():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+(6*x**2)+x**3))/(1-x)**3/(1+x)**2)] }
-
-
-
-def A104621():
- x = SR.var('x')
- return { 'ogf': [(((-7)+(6*x)+(5*x**2)+(4*x**3)+(3*x**4)+(2*x**5)+x**6)/((-1)+x+x**2+x**3+x**4+x**5+x**6+x**7))] }
-
-
-
-def A104624():
- x = SR.var('x')
- return { 'ogf': [(sqrt((1+(4*x**2)))-(2*x))] }
-
-
-
-def A104651():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**4+(174*x**3)+(16415*x**2)+(174*x)+1))/(((x**2-(27*x))+1)*(x**4+(27*x**3)+(728*x**2)+(27*x)+1)))] }
-
-
-
-def A104652():
- x = SR.var('x')
- return { 'ogf': [((8*x**2*(4+(381*x)+(455*x**2)+(381*x**3)+(4*x**4)))/((x-1)*((x**6+(19602*x**3))-1)))] }
-
-
-
-def A104670():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x)+(21*x**2))/(1-x)**10)] }
-
-
-
-def A104671():
- x = SR.var('x')
- return { 'ogf': [((1+(24*x)+(84*x**2)+(56*x**3))/(1-x)**12)] }
-
-
-
-def A104673():
- x = SR.var('x')
- return { 'ogf': [(((252*x**5)+(1050*x**4)+(1200*x**3)+(450*x**2)+(50*x)+1)/(x-1)**16)] }
-
-
-
-def A104679():
- x = SR.var('x')
- return { 'ogf': [(-(252/(x-1)**11))] }
-
-
-
-def A104682():
- x = SR.var('x')
- return { 'ogf': [(-((x**14+(10908*x**13)+(3423487*x**12)+(162086420*x**11)+(2.236727781E9*x**10)+(1.1806635128E10*x**9)+(2.7116815299E10*x**8)+(2.8635678216E10*x**7)+(1.3957353555E10*x**6)+(2.999111468E9*x**5)+(253732221*x**4)+(6684068*x**3)+(32647*x**2)+1)/(x-1)**15))] }
-
-
-
-def A104683():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)+x**3)/(((x**2+(2*x))-1)*(x**2-(2*x)-1)))] }
-
-
-
-def A104743():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((2*x)-1))/(((3*x)-1)*(x-1)**2))] }
-
-
-
-def A104745():
- x = SR.var('x')
- return { 'ogf': [((1-x-(4*x**2))/((1-(5*x))*(1-x)**2))] }
-
-
-
-def A104747():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(3*x))+(3*x**2)))/(((2*x)-1)**2*(x-1)**3)))] }
-
-
-
-def A104767():
- x = SR.var('x')
- return { 'ogf': [((x+x**3)/((((-(2*x**3))+(2*x**2))-(2*x))+1))] }
-
-
-
-def A104769():
- x = SR.var('x')
- return { 'ogf': [(-(x/((1+x)-x**3)))] }
-
-
-
-def A104770():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1+x)-x**3))] }
-
-
-
-def A104771():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1+x)-x**3))] }
-
-
-
-def A104777():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(24*x)-(22*x**2)-(24*x**3)-x**4)/((1+x)**2*(x-1)**3))] }
-
-
-
-def A104858():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*x*(1-x)))] }
-
-
-
-def A104891():
- x = SR.var('x')
- return { 'ogf': [((5*x)/((x-1)*((5*x)-1)))] }
-
-
-
-def A104896():
- x = SR.var('x')
- return { 'ogf': [((7*x)/((x-1)*((7*x)-1)))] }
-
-
-
-def A104934():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(3*x)-(2*x**2)))] }
-
-
-
-def A105036():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x+x**2))/((1-x)*((x**4-(26*x**2))+1)))] }
-
-
-
-def A105037():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((2*x**2)+x+2))/((x-1)*((x**4-(22*x**2))+1))))] }
-
-
-
-def A105038():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(((1-(11*x))+(11*x**2))-x**3))] }
-
-
-
-def A105040():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*((5*x**2)+(32*x)+5))/((x-1)*((x**2-(16*x))+1)*(x**2+(16*x)+1))))] }
-
-
-
-def A105045():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+x**3)-(7*x**2))+x+1))/((x-1)*((x**4-(8*x**2))+1))))] }
-
-
-
-def A105051():
- x = SR.var('x')
- return { 'ogf': [((3*(x**2*(5+(32*x)+(5*x**2))))/((1-x)*(1+(16*x)+x**2)*((1-(16*x))+x**2)))] }
-
-
-
-def A105058():
- x = SR.var('x')
- return { 'ogf': [(((1+(8*x))-x**2)/((x+1)*((x**2-(6*x))+1)))] }
-
-
-
-def A105067():
- x = SR.var('x')
- return { 'ogf': [(((1365*x**10)+(116480*x**9)+(1851213*x**8)+(8893248*x**7)+(15593370*x**6)+(10568064*x**5)+(2671890*x**4)+(217152*x**3)+(4017*x**2)+1)/(x-1)**12)] }
-
-
-
-def A105073():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-x)*(1+x+x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A105076():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2))/((1-x)*((x**4-(8*x**2))+1)))] }
-
-
-
-def A105077():
- x = SR.var('x')
- return { 'ogf': [(-((x**3+(5*x)+5)/(((x**2-x)+1)*(x+1)**2)))] }
-
-
-
-def A105082():
- x = SR.var('x')
- return { 'ogf': [((5+(4*x))/(1-(2*x)-x**2))] }
-
-
-
-def A105163():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(3*x))+(5*x**2))-(2*x**3)))/(1-x)**4)] }
-
-
-
-def A105175():
- x = SR.var('x')
- return { 'ogf': [(-((413*x**3*((22363*x**2)+(13920*x)+22363))/((x-1)*((x**2-(6960*x))+1)*(x**2+(6960*x)+1))))] }
-
-
-
-def A105198():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2)+(2*x**4)+x**5)/(((((((1-x)+x**2)-x**3)+x**4)-x**5)+x**6)-x**7))] }
-
-
-
-def A105225():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**2))+(3*x))-1)/((((2*x**3)-(3*x**2))+(2*x))-1))] }
-
-
-
-def A105249():
- x = SR.var('x')
- return { 'ogf': [(-(((15*x**2)+(12*x)+1)/(x-1)**9))] }
-
-
-
-def A105250():
- x = SR.var('x')
- return { 'ogf': [(-(((35*x**3)+(63*x**2)+(21*x)+1)/(x-1)**11))] }
-
-
-
-def A105251():
- x = SR.var('x')
- return { 'ogf': [(-(((70*x**4)+(224*x**3)+(168*x**2)+(32*x)+1)/(x-1)**13))] }
-
-
-
-def A105252():
- x = SR.var('x')
- return { 'ogf': [(-(((126*x**5)+(630*x**4)+(840*x**3)+(360*x**2)+(45*x)+1)/(x-1)**15))] }
-
-
-
-def A105253():
- x = SR.var('x')
- return { 'ogf': [(-(((210*x**6)+(1512*x**5)+(3150*x**4)+(2400*x**3)+(675*x**2)+(60*x)+1)/(x-1)**17))] }
-
-
-
-def A105254():
- x = SR.var('x')
- return { 'ogf': [(-(((330*x**7)+(3234*x**6)+(9702*x**5)+(11550*x**4)+(5775*x**3)+(1155*x**2)+(77*x)+1)/(x-1)**19))] }
-
-
-
-def A105262():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-x**3)/((1-x-(5*x**2)-(4*x**3))+x**5))] }
-
-
-
-def A105281():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((x-1)*((6*x)-1)))] }
-
-
-
-def A105312():
- x = SR.var('x')
- return { 'ogf': [(((21845*x**14)+(10412160*x**13)+(689427979*x**12)+(1.296658816E10*x**11)+(9.3207091581E10*x**10)+(2.9607741824E11*x**9)+(4.46019954555E11*x**8)+(3.26065923072E11*x**7)+(1.13735241015E11*x**6)+(1.7786608768E10*x**5)+(1095139065*x**4)+(20476160*x**3)+(65399*x**2)+1)/(x-1)**16)] }
-
-
-
-def A105343():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2))+x**3+x**4)/((x+1)*(1-x)**3))] }
-
-
-
-def A105367():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A105368():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-x**3))/(1-x**5)),
-(((1-x)*(1+x+x**2))/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A105370():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(3*x)+(3*x**2)))/(1+(5*x)+(10*x**2)+(10*x**3)+(5*x**4)))] }
-
-
-
-def A105374():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+x+x**2))/(1-x)**4)] }
-
-
-
-def A105384():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(1-x**5))] }
-
-
-
-def A105385():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A105392():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5+(2*x)+(3*x**2))-x**4))/(1+x)/((1-(3*x))+x**2)/(1-x-x**2))] }
-
-
-
-def A105395():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)+1)*(((3*x**2)-x)+1))/((x-1)*(x**2+x+1))))] }
-
-
-
-def A105398():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**4*(1+(2*x)))/((x-1)*(1+x))))] }
-
-
-
-def A105423():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/(1-x-x**2)**3)] }
-
-
-
-def A105426():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(8*x))+x**2))] }
-
-
-
-def A105450():
- x = SR.var('x')
- return { 'ogf': [(((((((2*x**6)-(11*x**5))+(26*x**4))-(32*x**3))+(20*x**2))-(6*x))/(x-1)**7)] }
-
-
-
-def A105476():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(1-x-(3*x**2))),
-(1/(1-(x/(1-x))-(x**2/(1-x**2))))] }
-
-
-
-def A105523():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-sqrt((1+(4*x**2))))/(2*x))] }
-
-
-
-def A105576():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))+x**2)/((1-x)*((1-x)+(2*x**2))))] }
-
-
-
-def A105577():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-x**2)/((1-x)*((1-x)+(2*x**2))))] }
-
-
-
-def A105578():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x)+1)/((x-1)*(((2*x**2)-x)+1))))] }
-
-
-
-def A105579():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1-x)*((1-x)+(2*x**2))))] }
-
-
-
-def A105580():
- x = SR.var('x')
- return { 'ogf': [((5-x-x**2)/(x**3-x**2-x-1))] }
-
-
-
-def A105635():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x**2)*(1-(2*x)-x**2)))] }
-
-
-
-def A105636():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/((1+x)*(1-x)**5))] }
-
-
-
-def A105638():
- x = SR.var('x')
- return { 'ogf': [((x**4*((1+(4*x))-x**3))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A105641():
- x = SR.var('x')
- return { 'ogf': [((((1+x)**2-sqrt(((1+x**2)**2-(4*x))))/(2*x*(2+x+x**2)))-1)] }
-
-
-
-def A105660():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((x**2-(5*x))+3))/((((x**4-(6*x**3))+(13*x**2))-(6*x))+1))] }
-
-
-
-def A105693():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(2*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A105694():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(1-(10*x)))] }
-
-
-
-def A105695():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-sqrt(((1-(3*x))/(1+x)))))/(2*x))] }
-
-
-
-def A105723():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1+x)*(1-(3*x))))] }
-
-
-
-def A105754():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)+(6*x**5)+(7*x**6)+(8*x**7)))/((-1)+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8)))] }
-
-
-
-def A105755():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)+(6*x**5)+(7*x**6)+(8*x**7)+(9*x**8)))/((-1)+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9)))] }
-
-
-
-def A105837():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(130*x)+x**2))/(((1-(20*x))+x**2)*(1+(20*x)+x**2)))] }
-
-
-
-def A105838():
- x = SR.var('x')
- return { 'ogf': [((3*x*(13+(40*x)+(13*x**2)))/((1-x)*((1-(20*x))+x**2)*(1+(20*x)+x**2)))] }
-
-
-
-def A105839():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**6+(36*x**5)+(2891*x**4)+(65280*x**3)+(2891*x**2)+(36*x)+1))/(((x**4-(340*x**2))+1)*(x**4+(340*x**2)+1)))] }
-
-
-
-def A105841():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**6+(308*x**5)+(50161*x**4)+(8192800*x**3)+(50161*x**2)+(308*x)+1))/(((x**4-(3040*x**2))+1)*(x**4+(3040*x**2)+1)))] }
-
-
-
-def A105842():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((55*x**6)+(9009*x**5)+(1471415*x**4)+(1659840*x**3)+(1471415*x**2)+(9009*x)+55))/((x-1)*((x**4-(3040*x**2))+1)*(x**4+(3040*x**2)+1))))] }
-
-
-
-def A105843():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**2+(148*x)+1))/((x**2-(12*x)-1)*((x**2+(12*x))-1)))] }
-
-
-
-def A105844():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**2*(x**2+x+1))/(((x**5-x**4-(146*x**3))+(146*x**2)+x)-1)))] }
-
-
-
-def A105845():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**2+(4510*x)+1))/((x**2-(64*x)-1)*((x**2+(64*x))-1)))] }
-
-
-
-def A105846():
- x = SR.var('x')
- return { 'ogf': [(-((64*x**2*((11*x**2)+(10*x)+11))/((x-1)*(x**2-(64*x)-1)*((x**2+(64*x))-1))))] }
-
-
-
-def A105849():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt(((((1-(6*x))+(8*x**2))-(4*x**3))/(1-(2*x)))))/(2*x**2))] }
-
-
-
-def A105864():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(4*x)-x**2)/(1-x**2))))/(2*x))] }
-
-
-
-def A105865():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(4*x)-(2*x**2))/(1-(2*x**2)))))/(2*x))] }
-
-
-
-def A105866():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-(5*x**2))+(2*x**3)+(4*x**4)))] }
-
-
-
-def A105870():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+(2*x**2)+(3*x**3)+(5*x**4)+x**5+(6*x**6)+(6*x**8)+(6*x**9)+(5*x**10)+(4*x**11)+(2*x**12)+(6*x**13)+x**14))/((x-1)*(1+x)*(1+x**2)*(1+x**4)*(1+x**8))))] }
-
-
-
-def A105899():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**4)+(2*x**2)+1)/(x-1)/(x**2+x+1)/((x**2-x)+1)))] }
-
-
-
-def A105938():
- x = SR.var('x')
- return { 'ogf': [(((x**2-(5*x))+10)/(1-x)**5)] }
-
-
-
-def A105939():
- x = SR.var('x')
- return { 'ogf': [(20/(1-x)**7)] }
-
-
-
-def A105940():
- x = SR.var('x')
- return { 'ogf': [(-((28*(x+2)*((2*x)+1))/(x-1)**11))] }
-
-
-
-def A105942():
- x = SR.var('x')
- return { 'ogf': [(-((42*(x+1)*((x*((2*x)+7))+2))/(x-1)**13))] }
-
-
-
-def A105943():
- x = SR.var('x')
- return { 'ogf': [((24*((-(5*x**4))-(35*x**3)-(63*x**2)-(35*x)-5))/(x-1)**15)] }
-
-
-
-def A105944():
- x = SR.var('x')
- return { 'ogf': [(-((165*(x+1)*(x**4+(9*x**3)+(19*x**2)+(9*x)+1))/(x-1)**17))] }
-
-
-
-def A105946():
- x = SR.var('x')
- return { 'ogf': [(-(((10*x**3)+(30*x**2)+(15*x)+1)/(x-1)**9))] }
-
-
-
-def A105947():
- x = SR.var('x')
- return { 'ogf': [(-(((15*x**4)+(80*x**3)+(90*x**2)+(24*x)+1)/(x-1)**11))] }
-
-
-
-def A105948():
- x = SR.var('x')
- return { 'ogf': [(-(((21*x**5)+(175*x**4)+(350*x**3)+(210*x**2)+(35*x)+1)/(x-1)**13))] }
-
-
-
-def A105951():
- x = SR.var('x')
- return { 'ogf': [(-((3+(8*x)+(18*x**2)+(16*x**3))/(((2*x)+1)*(x+1)*((2*x**2)+1))))] }
-
-
-
-def A105968():
- x = SR.var('x')
- return { 'ogf': [((((2*x)+1)*(1-x))/((x+1)*((x**2-(4*x))+1)))] }
-
-
-
-def A106006():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x)*((3*x**6)+(6*x**5)+(7*x**4)+(6*x**3)+(5*x**2)+(3*x)+1))/((1-x**2)*(1-x**3)*(1-x**5)))] }
-
-
-
-def A106053():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-sqrt((((1+x)-x**2)*(1-(3*x)-x**2))))/(2*sqrt((((1+x)-x**2)*(1-(3*x)-x**2))))),
-(((1-x-x**2)/(2*sqrt((((1+x)-x**2)*(1-(3*x)-x**2)))))-(1/2))] }
-
-
-
-def A106058():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((-2)-x)+(2*x**2)))/(x-1)**4))] }
-
-
-
-def A106175():
- x = SR.var('x')
- return { 'ogf': [((x*(x**11+(135*x**10)+(11791*x**9)+(3186521*x**8)+(278253009*x**7)+(1.4755412411E10*x**6)+(1.4755412411E10*x**5)+(278253009*x**4)+(3186521*x**3)+(11791*x**2)+(135*x)+1))/(((x**6-(97684*x**3))+1)*(x**6+(97684*x**3)+1)))] }
-
-
-
-def A106176():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((16*x**10)+(1424*x**9)+(387855*x**8)+(33604720*x**7)+(1768666520*x**6)+(1165760856*x**5)+(1768666520*x**4)+(33604720*x**3)+(387855*x**2)+(1424*x)+16))/((x-1)*((x**6-(97684*x**3))+1)*(x**6+(97684*x**3)+1))))] }
-
-
-
-def A106188():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*sqrt((1-(4*x)))))] }
-
-
-
-def A106201():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(2*x))+x**2+(4*x**4)))] }
-
-
-
-def A106202():
- x = SR.var('x')
- return { 'ogf': [((2*x**3)/((1-(2*x))+x**2+(4*x**4)))] }
-
-
-
-def A106206():
- x = SR.var('x')
- return { 'ogf': [(1+(144*x))**(1/24)] }
-
-
-
-def A106231():
- x = SR.var('x')
- return { 'ogf': [((x*(((((10*x**4)-(39*x**3))+(67*x**2))-(25*x))+11))/(x-1)**4)] }
-
-
-
-def A106232():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((x**3-(3*x**2))+(2*x))-1))/(x-1)**3)] }
-
-
-
-def A106233():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((1-x)+x**2)*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A106249():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2+x**3)/((1-x-x**4)+x**5))] }
-
-
-
-def A106250():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2+x**3)/((1-x-x**5)+x**6))] }
-
-
-
-def A106251():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+(2*x**3)+(2*x**4)+(3*x**5)+(2*x**6)+(3*x**7)+(2*x**8)+x**9+x**10)/(1-x**6)**2)] }
-
-
-
-def A106256():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)**3)/(((x**2-(4*x))+1)*(x**2+(4*x)+1)))] }
-
-
-
-def A106257():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((5*x**2)+(16*x)+5))/(((x**2-(4*x))+1)*(x**2+(4*x)+1))))] }
-
-
-
-def A106318():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x)*(1+(56*x)+(246*x**2)+(56*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A106328():
- x = SR.var('x')
- return { 'ogf': [((3*x**2)/((1-(6*x))+x**2))] }
-
-
-
-def A106329():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1-(3*x)))/((1-(6*x))+x**2))] }
-
-
-
-def A106330():
- x = SR.var('x')
- return { 'ogf': [((((-(7*x**5))-(11*x**4)-(25*x**3))+(11*x**2)+(7*x)+5)/((x**6-(10*x**3))+1))] }
-
-
-
-def A106352():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((1+(4*x**2))-(3*x**3))+(4*x**4)))/((1-x**6)*(1-x)**2))] }
-
-
-
-def A106353():
- x = SR.var('x')
- return { 'ogf': [(((8*x**10)+(4*x**9)+(6*x**8)+(4*x**7)+(2*x**6))/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)))] }
-
-
-
-def A106354():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*((16*x**8)+(12*x**7)+(21*x**6)+(22*x**5)+(23*x**4)+(12*x**3)+(11*x**2)+(2*x)+1))/((x-1)**5*(x+1)**2*(x**2+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A106387():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(2*x)+(5*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A106388():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(12*x)+(86*x**2)+(12*x**3)+(11*x**4)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A106389():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+(10*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A106390():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(60*x**3)+(34*x**2)+(60*x)+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A106392():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))**2+x**2))] }
-
-
-
-def A106393():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x))**2+x**2))] }
-
-
-
-def A106435():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A106438():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(5*x)-(2*x**2)))/(((1-(6*x))+(9*x**2))-x**4))] }
-
-
-
-def A106440():
- x = SR.var('x')
- return { 'ogf': [((1+(12*x)+(6*x**2))/(1-(4*x))**(9/2))] }
-
-
-
-def A106466():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1+x**2)*(1-x**2)**2))] }
-
-
-
-def A106505():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**7+x**6+(3*x**5))-(2*x**4)-(2*x**3)-(2*x**2)-(2*x)-5))/((x-1)**2*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A106517():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-x-x**2)*(1-(3*x))))] }
-
-
-
-def A106521():
- x = SR.var('x')
- return { 'ogf': [((2*x*((9+(10*x)+(29*x**2))-x**3-(2*x**4)))/(1-x)/((1-(20*x**2))+x**4))] }
-
-
-
-def A106523():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(((1+x)-x**2)*(1-x-x**2-x**3)))] }
-
-
-
-def A106525():
- x = SR.var('x')
- return { 'ogf': [((x*((9+(11*x)+(21*x**2))-(11*x**3)-(9*x**4)-(7*x**5)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A106527():
- x = SR.var('x')
- return { 'ogf': [((x*((19+(33*x)+(51*x**2))-(33*x**3)-(19*x**4)-(17*x**5)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A106528():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3+(10*x)+(17*x**2)+(10*x**3)+(3*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A106565():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(1-(5*x)-(5*x**2)))] }
-
-
-
-def A106568():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A106570():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(1-(4*x)-(3*x**2)))] }
-
-
-
-def A106586():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((1+(2*x)+(7*x**2))-(2*x**3))+(9*x**4))-(2*x**5))+(7*x**6)+(2*x**7)+x**8))/((x-1)*(1+x+x**2+x**3+x**4)*((((1-x)+x**2)-x**3)+x**4))))] }
-
-
-
-def A106603():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+1)/((8*x**3)+1+(2*x)))] }
-
-
-
-def A106607():
- x = SR.var('x')
- return { 'ogf': [((1+x**3)**2/((1-x)*(1-x**2)**2*(1-x**4))),
-(((x**2-x)+1)**2/((1+x)*(x**2+1)*(x-1)**4))] }
-
-
-
-def A106608():
- x = SR.var('x')
- return { 'ogf': [((x/(1-x)**2)-((6*x**7)/(1-x**7)**2))] }
-
-
-
-def A106609():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2-x)+1)*(x**12+(2*x**11)+(4*x**10)+(3*x**9)+(4*x**8)+(4*x**7)+(7*x**6)+(4*x**5)+(4*x**4)+(3*x**3)+(4*x**2)+(2*x)+1))/((x-1)**2*(1+x)**2*(x**2+1)**2*(x**4+1)**2))] }
-
-
-
-def A106612():
- x = SR.var('x')
- return { 'ogf': [((x/(1-x)**2)-((10*x**11)/(1-x**11)**2))] }
-
-
-
-def A106614():
- x = SR.var('x')
- return { 'ogf': [((x/(1-x)**2)-((12*x**13)/(1-x**13)**2))] }
-
-
-
-def A106624():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**3)/((1-(3*x**2))+(2*x**4)))] }
-
-
-
-def A106627():
- x = SR.var('x')
- return { 'ogf': [((((8-(7*x)-(24*x**2)-(25*x**3)-(36*x**4)-(9*x**5))+(4*x**6))-x**7)/((((1-x-(4*x**2)-(5*x**3)-(9*x**4)-(3*x**5))+(2*x**6))-x**7)+x**8))] }
-
-
-
-def A106632():
- x = SR.var('x')
- return { 'ogf': [(-((1+(27*x**2))/((1+(3*x))*((1-(2*x))+(9*x**2)))))] }
-
-
-
-def A106637():
- x = SR.var('x')
- return { 'ogf': [((x*(x**9+(2*x**8)+x**7+x**6+(2*x**5)+(3*x**4)+(3*x**3)+(2*x**2)+x+2))/((x-1)**2*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A106640():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1-(2*x)-(3*x**2)))/(1+x))-sqrt((1-(4*x))))/(2*x**2))] }
-
-
-
-def A106664():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+x**2)/((x-1)*(x+1)*(((2*x**2)-(2*x))+1)))] }
-
-
-
-def A106666():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x**2))+(2*x**3))/((1-x)*(((2*x**3)-(2*x**2)-(2*x))+1)))] }
-
-
-
-def A106691():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2))+x**3+x**4)/((x-1)**2*((2*x)+1)**2*(x+1)**2))] }
-
-
-
-def A106706():
- x = SR.var('x')
- return { 'ogf': [((((-(19*x**5))-(25*x**4)-(35*x**3))+(11*x**2)+(14*x)+19)/((1-(2*x**3))*(1-x**3)))] }
-
-
-
-def A106707():
- x = SR.var('x')
- return { 'ogf': [(-(x/((1-(4*x))+x**2)))] }
-
-
-
-def A106729():
- x = SR.var('x')
- return { 'ogf': [((5*(1-x))/((1-(3*x))+x**2))] }
-
-
-
-def A106731():
- x = SR.var('x')
- return { 'ogf': [(-((2*x)/((1-(4*x))+(2*x**2))))] }
-
-
-
-def A106732():
- x = SR.var('x')
- return { 'ogf': [(-((3*x)/((1-(5*x))+(3*x**2))))] }
-
-
-
-def A106791():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((17*x**9)+(2*x**8))-(32*x**7))+(46*x**6))-(21*x**5)-(143*x**4))+(16*x**3))-(30*x**2)-(24*x))+17)/((((x**4+x**3)-(3*x**2)-(3*x))+1)*(((x**6-x**5)+(2*x**4))-(2*x**3)-(2*x**2)-x-1))))] }
-
-
-
-def A106804():
- x = SR.var('x')
- return { 'ogf': [(((2-(9*x)-(4*x**2))*x)/(((1-(5*x))+x**2)*(1-(5*x)-x**2)))] }
-
-
-
-def A106805():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x)-x**2)+x**3))] }
-
-
-
-def A106833():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(4*x)+(3*x**2)))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A106835():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((-2)+(9*x)+(3*x**2)))/((((2*x**2)+(5*x))-1)*(((2*x**2)-(5*x))+1)))] }
-
-
-
-def A106845():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(2*x**3)+(3*x**2)+(8*x)+1))/(x-1)**6)] }
-
-
-
-def A106850():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*(((2*x**2)+(9*x))-2))/((((3*x**2)-(5*x))+1)*(((3*x**2)+(5*x))-1)))] }
-
-
-
-def A106851():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**3))-(7*x**2))+(2*x))/((1-(4*x)-x**2)*((1-(4*x))+x**2)))] }
-
-
-
-def A106852():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)+(3*x**2)))] }
-
-
-
-def A106853():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)+(4*x**2)))] }
-
-
-
-def A106855():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)+(3*x**3)))] }
-
-
-
-def A107025():
- x = SR.var('x')
- return { 'ogf': [((1-x)**5/((1-x)**6-x**5))] }
-
-
-
-def A107068():
- x = SR.var('x')
- return { 'ogf': [(1/((1+(3*x)+(3*x**2)+x**3)-x**4))] }
-
-
-
-def A107075():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(142*x))+x**2))/((1-x)*((1-(322*x))+x**2)))] }
-
-
-
-def A107229():
- x = SR.var('x')
- return { 'ogf': [((6*x**4)+(2*x)+(((x**2+x)-1)/((-1)+(2*x**2)+(5*x**3))))] }
-
-
-
-def A107233():
- x = SR.var('x')
- return { 'ogf': [((4*x*((sqrt((1-(4*x**2)))-1)**2*((4*x)+1)))/(sqrt((1-(4*x**2)))*((sqrt((1-(4*x**2)))+(2*x))-1)**4))] }
-
-
-
-def A107239():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x-x**2-x**3))/((x**3-x**2-x-1)*((x**3+x**2+(3*x))-1)*(1-x)))] }
-
-
-
-def A107240():
- x = SR.var('x')
- return { 'ogf': [(((((x**3-x**2)+(3*x))-1)*(1+x)**2)/((x-1)*((x**3+x**2+(3*x))-1)*(x**3-x**2-x-1)))] }
-
-
-
-def A107243():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((x**10+x**9+x**7+x**6)-(6*x**5)-(5*x**4)-(3*x**3)-(2*x**2)-x)+1))/((x-1)*((x**5+x**4+x**3+(3*x**2)+(3*x))-1)*((((x**10-x**9-x**7)+x**6)-(6*x**5))+(3*x**4)+(3*x**3)+(2*x**2)+x+1)))] }
-
-
-
-def A107248():
- x = SR.var('x')
- return { 'ogf': [(-((((1+x)-(3*x**2))+(33*x**3)+(37*x**4)+(25*x**5))/((((5*x**3)-(2*x**2))+1)*(((5*x**3)+(2*x**2))-1))))] }
-
-
-
-def A107253():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(4*x))+(56*x**2))-(44*x**3))+(15*x**4)))/(1-x)**5)] }
-
-
-
-def A107264():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt((1-(6*x)-(3*x**2))))/(6*x**2))] }
-
-
-
-def A107265():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-sqrt(((1-(10*x))+(5*x**2))))/(10*x**2))] }
-
-
-
-def A107266():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x)-sqrt(((1-(12*x))+(12*x**2))))/(12*x**2))] }
-
-
-
-def A107271():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**6)+(2*x**5))-(4*x**3)-(2*x**2)-(3*x)-1))/(((2*x**9)-(4*x**6)-(2*x**3))+1)))] }
-
-
-
-def A107287():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x)*(1+x)*((((2*x**5)+x**2)-x)+1))/((((-1)+x+x**2)-x**3)+x**5))] }
-
-
-
-def A107298():
- x = SR.var('x')
- return { 'ogf': [(((((((-(2*x**2))-(3*x**3))+x**5)-3)+(7*x))-x**4)/((x-1)*((x**3-x**2-(2*x))+1)))] }
-
-
-
-def A107299():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)*((x**4-(2*x**2)-(3*x))+3))/((x-1)*(((2*x**3)-x**2-(3*x))+1)))] }
-
-
-
-def A107300():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x)-(2*x**2))/((1-(2*x)-(2*x**2))+(2*x**3)))] }
-
-
-
-def A107307():
- x = SR.var('x')
- return { 'ogf': [(((1-x-(2*x**2)-x**3)+x**4)/((x-1)**3*(((6*x**2)+(2*x))-1)))] }
-
-
-
-def A107330():
- x = SR.var('x')
- return { 'ogf': [((((((-(3*x**2))-(5*x**3)-(2*x**4))+x**5)-3)+(9*x))/((x-1)*((x**3-(2*x**2)-(3*x))+1)))] }
-
-
-
-def A107334():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x)-(3*x**2))/((1-(2*x)-(3*x**2))+(2*x**3)))] }
-
-
-
-def A107351():
- x = SR.var('x')
- return { 'ogf': [((1+x**3)/((1-x)**3*(1-x**2)**3*(1-x**3))),
-((((-1)+x)-x**2)/((1+x+x**2)*(1+x)**2*(x-1)**7))] }
-
-
-
-def A107361():
- x = SR.var('x')
- return { 'ogf': [(1/(((3*x)-1)*(x**2-x-1)))] }
-
-
-
-def A107363():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(1+x**2)*(((x**4+(2*x**3))-x**2)+1)*(x+1)**2)/(((x**4+x**2)-1)*((x**8-x**6)+(2*x**4)+x**2+1)))] }
-
-
-
-def A107368():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+x))/((((-1)+x+x**2)-x**3)+x**5))] }
-
-
-
-def A107375():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(5*x)-(4*x**2)))/((1-(6*x))+(6*x**3)+x**4))] }
-
-
-
-def A107376():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(6*x)-(5*x**2)))/((1-(7*x))+(7*x**3)+x**4))] }
-
-
-
-def A107381():
- x = SR.var('x')
- return { 'ogf': [((((((-(2*x**3))+(3*x**6)+x**7)-(9*x**2))+(13*x))-4)/((x-1)*((x**2+x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A107383():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-(2*x**2)-(2*x**3)))] }
-
-
-
-def A107384():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(2*x**2)))/((1-x)*(((3*x**3)+(3*x**2))-1)))] }
-
-
-
-def A107385():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x**2)))/((x-1)*(((4*x**3)+(4*x**2))-1)))] }
-
-
-
-def A107386():
- x = SR.var('x')
- return { 'ogf': [((x*(((-(4*x**4))+(2*x**5)+x)-1))/((1+x)*(x-1)**3))] }
-
-
-
-def A107391():
- x = SR.var('x')
- return { 'ogf': [((24+(256*x))/((1-(16*x))*(1+(64*x))))] }
-
-
-
-def A107392():
- x = SR.var('x')
- return { 'ogf': [((((12*x**2)-(18*x))+7)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A107401():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((3*x**3)+x**2)-(2*x)-1))/((x+1)*((x**4-(4*x**2))+1))))] }
-
-
-
-def A107402():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((5*x**3)+(2*x**2))-(2*x)-1))/((x+1)*((x**4-(5*x**2))+1))))] }
-
-
-
-def A107413():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(x*(6+(5*x*(1+x))))))/((((-1)+(7*x))-(6*x**3))+x**5))] }
-
-
-
-def A107417():
- x = SR.var('x')
- return { 'ogf': [(((10*x*(x+1))+1)/(x-1)**8)] }
-
-
-
-def A107421():
- x = SR.var('x')
- return { 'ogf': [(((84*x**6)+(756*x**5)+(1890*x**4)+(1680*x**3)+(540*x**2)+(54*x)+1)/(x-1)**16)] }
-
-
-
-def A107443():
- x = SR.var('x')
- return { 'ogf': [(((3*x**2)+1)/((1-x)*((2*x**2)+x+1)*(((2*x**2)-x)+1)))] }
-
-
-
-def A107451():
- x = SR.var('x')
- return { 'ogf': [((((((10*x**10)-(44*x**9)-(86*x**8))+(246*x**7)+(198*x**6)+(58*x**5)+(18*x**4)+(24*x**3))-(6*x))+1)/((((x**6-(5*x**5)-(6*x**4))+(30*x**3)+(5*x**2))-(7*x))+1))] }
-
-
-
-def A107453():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x**4+x**3+x**2+x+1))/((x-1)*(x+1)*(x**2+1))))] }
-
-
-
-def A107458():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-x**3)/((1+x)*(1-x-x**3)))] }
-
-
-
-def A107464():
- x = SR.var('x')
- return { 'ogf': [((((16*x**2)-(26*x))+11)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A107467():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-(2*x**2)-x**3-(4*x**4)-(7*x**5)))/((((1-(3*x)-x**2)+(3*x**3))-x**4-(2*x**5))+x**6+x**7))] }
-
-
-
-def A107475():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x)-(6*x**2))+(5*x**3))-(6*x**4))/((((x**3-(5*x**2))+(6*x))-1)*((x**3+(2*x**2))-x-1)))] }
-
-
-
-def A107477():
- x = SR.var('x')
- return { 'ogf': [(((((1-(6*x)-(10*x**2))+(16*x**5)+(124*x**6)+(290*x**7))-(96*x**8)-(44*x**9))+(10*x**10)+(19*x**3)+(2*x**4))/((((1-(7*x)-(5*x**2))+(35*x**3))-(7*x**4)-(5*x**5))+x**6))] }
-
-
-
-def A107479():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x+x**2)*((x**2-x)+1))/(1-x**2-x**3-x**4-x**5-x**6-x**7))] }
-
-
-
-def A107483():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((50*x**6)-(100*x**5))+(90*x**4)+(20*x**3)+(41*x**2)+(9*x)+1))/((x-1)*(x**2+1)*((1000*x**4)-1)))] }
-
-
-
-def A107506():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**10+(208*x**9)+(6909*x**8)+(66912*x**7)+(251010*x**6)+(392864*x**5)+(251010*x**4)+(66912*x**3)+(6909*x**2)+(208*x)+1))/(x-1)**11))] }
-
-
-
-def A107507():
- x = SR.var('x')
- return { 'ogf': [((x**12+(252*x**11)+(10386*x**10)+(133516*x**9)+(732591*x**8)+(1956216*x**7)+(2698108*x**6)+(1956216*x**5)+(732591*x**4)+(133516*x**3)+(10386*x**2)+(252*x)+1)/(x-1)**12)] }
-
-
-
-def A107508():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**12+(298*x**11)+(14366*x**10)+(214434*x**9)+(1343551*x**8)+(3959604*x**7)+(5686084*x**6)+(3959604*x**5)+(1343551*x**4)+(214434*x**3)+(14366*x**2)+(298*x)+1))/(x-1)**13))] }
-
-
-
-def A107509():
- x = SR.var('x')
- return { 'ogf': [((x**14+(350*x**13)+(20139*x**12)+(374892*x**11)+(3101945*x**10)+(13109250*x**9)+(30399579*x**8)+(40090728*x**7)+(30399579*x**6)+(13109250*x**5)+(3101945*x**4)+(374892*x**3)+(20139*x**2)+(350*x)+1)/(x-1)**14)] }
-
-
-
-def A107510():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**14+(404*x**13)+(26611*x**12)+(564824*x**11)+(5279521*x**10)+(24744044*x**9)+(61710571*x**8)+(83660624*x**7)+(61710571*x**6)+(24744044*x**5)+(5279521*x**4)+(564824*x**3)+(26611*x**2)+(404*x)+1))/(x-1)**15))] }
-
-
-
-def A107511():
- x = SR.var('x')
- return { 'ogf': [((x**16+(464*x**15)+(35512*x**14)+(903280*x**13)+(10506652*x**12)+(64480208*x**11)+(225728776*x**10)+(471339504*x**9)+(600970566*x**8)+(471339504*x**7)+(225728776*x**6)+(64480208*x**5)+(10506652*x**4)+(903280*x**3)+(35512*x**2)+(464*x)+1)/(x-1)**16)] }
-
-
-
-def A107546():
- x = SR.var('x')
- return { 'ogf': [(-((x**13+(2613*x**12)+(79014*x**11)+(882310*x**10)+(4673955*x**9)+(13017303*x**8)+(20034276*x**7)+(17363268*x**6)+(8423415*x**5)+(2214355*x**4)+(294294*x**3)+(17238*x**2)+(325*x)+1)/(x-1)**13))] }
-
-
-
-def A107547():
- x = SR.var('x')
- return { 'ogf': [((x**14+(3290*x**13)+(116571*x**12)+(1552772*x**11)+(9994985*x**10)+(34561254*x**9)+(67815867*x**8)+(77510712*x**7)+(51859899*x**6)+(20009990*x**5)+(4284137*x**4)+(472836*x**3)+(23387*x**2)+(378*x)+1)/(x-1)**14)] }
-
-
-
-def A107548():
- x = SR.var('x')
- return { 'ogf': [(-((x**15+(4075*x**14)+(167181*x**13)+(2618655*x**12)+(20130045*x**11)+(84612255*x**10)+(206162985*x**9)+(300437235*x**8)+(265092435*x**7)+(141060465*x**6)+(44322135*x**5)+(7877805*x**4)+(733551*x**3)+(31045*x**2)+(435*x)+1)/(x-1)**15))] }
-
-
-
-def A107549():
- x = SR.var('x')
- return { 'ogf': [((x**16+(4976*x**15)+(233976*x**14)+(4257488*x**13)+(38523420*x**12)+(193440624*x**11)+(573006280*x**10)+(1036952400*x**9)+(1166597190*x**8)+(818649040*x**7)+(354721224*x**6)+(92517360*x**5)+(13869596*x**4)+(1104208*x**3)+(40440*x**2)+(496*x)+1)/(x-1)**16)] }
-
-
-
-def A107584():
- x = SR.var('x')
- return { 'ogf': [((((-(17*x**2))+(6*x))-1)/((x-1)**2*((4*x)-1)))] }
-
-
-
-def A107585():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(26*x**2))+(7*x))/(((5*x)-1)*(x-1)**2))] }
-
-
-
-def A107597():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-x-x**2))+(1/sqrt(((1+x+x**2)*((1-(3*x))+x**2)))))/2)] }
-
-
-
-def A107600():
- x = SR.var('x')
- return { 'ogf': [(((((x**5-(5*x**4))+(7*x**3)+(4*x**2))-(11*x)-1)*x**9)/(x-1)**7)] }
-
-
-
-def A107659():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A107660():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(3*x))*(1-(3*x**2))))] }
-
-
-
-def A107663():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(8*x))+(6*x**2)+(16*x**3))/((1-(2*x))*(x+1)*((2*x**2)-1)))] }
-
-
-
-def A107684():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+(6*x**2)+(7*x**3)+(6*x**4)+(4*x**5)+(2*x**6)))/(((2*x**3)-1)*(x**2+x+1))))] }
-
-
-
-def A107767():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((x-1)*((3*x)-1)*((3*x**2)-1))))] }
-
-
-
-def A107769():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-x)+1))/((x-1)*((x**2+(2*x))-1)*((x**4+(2*x**2))-1))))] }
-
-
-
-def A107839():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(5*x))+(2*x**2)))] }
-
-
-
-def A107840():
- x = SR.var('x')
- return { 'ogf': [((x*((((2*x**2)-(6*x**4))+(2*x**5)+(2*x))-1))/((x-1)*(1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A107841():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(10*x))+x**2)))/(6*x))] }
-
-
-
-def A107849():
- x = SR.var('x')
- return { 'ogf': [((x+1)**2/((1-x**2-(2*x**3))*(x**4+1)))] }
-
-
-
-def A107850():
- x = SR.var('x')
- return { 'ogf': [(((x**2+x+1)*((2*x**2)+(2*x)+1)*(x-1)**2)/((1-x**2-(2*x**3))*(x**4+1)))] }
-
-
-
-def A107851():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-x-(3*x**2)-x**3)+(2*x**5)))/((((2*x**3)+x**2)-1)*(x**4+1)))] }
-
-
-
-def A107852():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+1)*(x+1)**2)/((((2*x**3)+x**2)-1)*(x**4+1))))] }
-
-
-
-def A107853():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*(x+1)**3)/((((2*x**3)+x**2)-1)*(x**4+1)))] }
-
-
-
-def A107854():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*(x**3-x-1))/((((2*x**3)+x**2)-1)*(x**4+1)))] }
-
-
-
-def A107855():
- x = SR.var('x')
- return { 'ogf': [((x*(((((2*x**10)+(8*x**8)+(5*x**6)+(3*x**5)+(5*x**4)+x**2)-1)+(2*x**3))-x))/((x**2+1)*((x**4+(3*x**2))-1)))] }
-
-
-
-def A107857():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(3*x**2))-x**3)+x**4))/((x-1)*((x**4+(4*x**2))-1))))] }
-
-
-
-def A107891():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(20*x**2)+(10*x**3)+x**4)/(1-x)**9)] }
-
-
-
-def A107903():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(8*x))+(4*x**2)))] }
-
-
-
-def A107915():
- x = SR.var('x')
- return { 'ogf': [(-((x**6+(22*x**5)+(113*x**4)+(190*x**3)+(113*x**2)+(22*x)+1)/(x-1)**13))] }
-
-
-
-def A107916():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**5)+(28*x**4)+(85*x**3)+(75*x**2)+(19*x)+1)/(x-1)**11))] }
-
-
-
-def A107917():
- x = SR.var('x')
- return { 'ogf': [((x**6+(22*x**5)+(113*x**4)+(190*x**3)+(113*x**2)+(22*x)+1)/(x-1)**12)] }
-
-
-
-def A107920():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)+(2*x**2)))] }
-
-
-
-def A107941():
- x = SR.var('x')
- return { 'ogf': [((1+(20*x)+(85*x**2)+(105*x**3)+(38*x**4)+(3*x**5))/(1-x)**11)] }
-
-
-
-def A107942():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**4+(17*x**3)+(48*x**2)+(17*x)+1))/(x-1)**10)] }
-
-
-
-def A107943():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x)+(40*x**2)+(25*x**3)+(3*x**4))/(1-x)**10)] }
-
-
-
-def A107953():
- x = SR.var('x')
- return { 'ogf': [(((((48*x**3)-(120*x**2))+(104*x))-31)/((x-1)*((2*x)-1)**4))] }
-
-
-
-def A107954():
- x = SR.var('x')
- return { 'ogf': [((((((128*x**4)-(432*x**3))+(568*x**2))-(342*x))+79)/((x-1)*((2*x)-1)**5))] }
-
-
-
-def A107955():
- x = SR.var('x')
- return { 'ogf': [(((((((320*x**5)-(1360*x**4))+(2400*x**3))-(2180*x**2))+(1012*x))-191)/((x-1)*((2*x)-1)**6))] }
-
-
-
-def A107963():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(6*x)-(3*x**2))/(x-1)**7)] }
-
-
-
-def A107965():
- x = SR.var('x')
- return { 'ogf': [(-((x**6+(22*x**5)+(113*x**4)+(190*x**3)+(113*x**2)+(22*x)+1)/(x-1)**11))] }
-
-
-
-def A107970():
- x = SR.var('x')
- return { 'ogf': [((x**4+(13*x**3)+(28*x**2)+(13*x)+1)/(x-1)**8)] }
-
-
-
-def A108012():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-2)+(7*x)+(2*x**2)))/((((2*x**2)+(4*x))-1)*(((2*x**2)-(4*x))+1)))] }
-
-
-
-def A108019():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((x-1)*((8*x)-1)))] }
-
-
-
-def A108051():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A108057():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(x**2+1)*(((x**7-x**6)+x**4+x**3)-(2*x**2)-x-1))/(((x**2-x)+1)*((x**6-x**3)+1)*(x+1)**2))] }
-
-
-
-def A108081():
- x = SR.var('x')
- return { 'ogf': [(((1/2)*((1-(5*x))+(4*x**2)+((1-(4*x))*(1-(5*x))**2)**(1/2)))/(1-(4*x))/(1-(4*x)-x**2)),
-((1+sqrt((1-(4*x))))/(2*sqrt((1-(4*x)))*(x+sqrt((1-(4*x))))))] }
-
-
-
-def A108099():
- x = SR.var('x')
- return { 'ogf': [((4*(1+(2*x)+x**2))/(1-x)**3)] }
-
-
-
-def A108104():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x**2-x**6))] }
-
-
-
-def A108105():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+x**4)/(1-(2*x**5)))] }
-
-
-
-def A108118():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2)**2)/((1+x)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A108122():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/(1-x-(2*x**2)-x**3))] }
-
-
-
-def A108136():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-(4*x**2)))/(1-(3*x)-(2*x**2)-x**3))] }
-
-
-
-def A108140():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(2*x**7))-(2*x**6)-(8*x**5)-(2*x**3))+(3*x))/(((x**2+x)-1)*((x**2-(3*x))+1)))] }
-
-
-
-def A108146():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-(2*x**2))/((1-(4*x))+x**2+x**3))] }
-
-
-
-def A108152():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(3*x))/((-1)+(3*x)+(2*x**2)+x**3))] }
-
-
-
-def A108153():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)-(2*x**2)-x**3))] }
-
-
-
-def A108195():
- x = SR.var('x')
- return { 'ogf': [((x*((5+(3*x))-x**2-(5*x)))/(1-x)**3)] }
-
-
-
-def A108211():
- x = SR.var('x')
- return { 'ogf': [((x*(17+(14*x)+x**2))/(1-x)**3)] }
-
-
-
-def A108213():
- x = SR.var('x')
- return { 'ogf': [(((44*x)+88)/(1-(2*x**2)))] }
-
-
-
-def A108248():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-x)**2*(1-x**24)))] }
-
-
-
-def A108262():
- x = SR.var('x')
- return { 'ogf': [((((-(4*x**2))+(13*x))-3)/(((x**3-(7*x**2))+(7*x))-1))] }
-
-
-
-def A108281():
- x = SR.var('x')
- return { 'ogf': [((x**2*(15+x))/((1-x)*((1-(194*x))+x**2)))] }
-
-
-
-def A108300():
- x = SR.var('x')
- return { 'ogf': [(((-(2*x))-1)/((x**2-1)+(3*x)))] }
-
-
-
-def A108351():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1+x)*((1-x)**2*(1-x-x**2-x**3))))] }
-
-
-
-def A108356():
- x = SR.var('x')
- return { 'ogf': [((1-x**6)/((1-x)*(1-x**2)*(1-x**8)))] }
-
-
-
-def A108360():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(4*x**2))/((((1-(6*x))+(11*x**2))-(4*x**3)-(5*x**4))+(2*x**5)+x**6))] }
-
-
-
-def A108361():
- x = SR.var('x')
- return { 'ogf': [(((x**2+x)-1)**2/((x-1)**2*(x+1)*((x**3+x**2+x)-1)**2))] }
-
-
-
-def A108362():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**3)/((1-(3*x**2))+x**4))] }
-
-
-
-def A108368():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)-(3*x**2)-x**3))] }
-
-
-
-def A108369():
- x = SR.var('x')
- return { 'ogf': [(x/((1+(3*x)+(3*x**2))-x**3))] }
-
-
-
-def A108474():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(2*x))+(4*x**2))-(8*x**3)))] }
-
-
-
-def A108475():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1+x)*((1-(6*x))+x**2)))] }
-
-
-
-def A108476():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1+(2*x))*((1-(8*x))+(4*x**2))))] }
-
-
-
-def A108478():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**3)+x**2+x)-1)/((x**3-(3*x**2)-x-1)*((x**3+x**2+(3*x))-1))))] }
-
-
-
-def A108479():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-(2*x)-x**2-(2*x**3))+x**4))] }
-
-
-
-def A108484():
- x = SR.var('x')
- return { 'ogf': [((1-x-(3*x**2))/((1-(2*x)-(5*x**2)-(6*x**3))+(9*x**4)))] }
-
-
-
-def A108485():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(2*x**2))/((1-(4*x)-(8*x**3))+(4*x**4)))] }
-
-
-
-def A108486():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(6*x**2))/((1-(4*x)-(8*x**2)-(24*x**3))+(36*x**4)))] }
-
-
-
-def A108495():
- x = SR.var('x')
- return { 'ogf': [((7*x**2*(3+(28*x)+(58*x**2)+(28*x**3)+(3*x**4)))/(1-x)**8)] }
-
-
-
-def A108520():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(2*x)+(2*x**2)))] }
-
-
-
-def A108524():
- x = SR.var('x')
- return { 'ogf': [((sqrt((((4*x**2)-(8*x))+1))-1)/((2*x)-4))] }
-
-
-
-def A108555():
- x = SR.var('x')
- return { 'ogf': [((((x**3+x**2+x)-1)*((((((2*x**5)+(5*x**4))-(4*x**3))+(10*x**2))-(6*x))+1))/((x-1)**2*((x**2+(2*x))-1)**2*((x**3+x**2+(3*x))-1)))] }
-
-
-
-def A108557():
- x = SR.var('x')
- return { 'ogf': [(((((1-(9*x))+(19*x**2)+(33*x**3))-(80*x**4))+(12*x**5))/((((1-(12*x))+(46*x**2))-(60*x**3))+(9*x**4)))] }
-
-
-
-def A108578():
- x = SR.var('x')
- return { 'ogf': [((8*x**5*(1+(2*x)))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A108579():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+(2*x)))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A108600():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x)-(2*x**2))+((1+x)*sqrt((1-(4*x)))))/((1-(4*x)-x**2)+((1-x**2)*sqrt((1-(4*x))))))] }
-
-
-
-def A108623():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(2*x))+(5*x**2))))/(2*(1-x)))] }
-
-
-
-def A108626():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((((x**4+(2*x**2))-(4*x))+1)))] }
-
-
-
-def A108629():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((1-(2*x)-(3*x**2)-(4*x**3))))/(2+(2*x)+(2*x**2)))] }
-
-
-
-def A108630():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((1-(2*x)-(7*x**2)-(8*x**3)-(4*x**4))))/(2+(2*x)+(2*x**2)))] }
-
-
-
-def A108647():
- x = SR.var('x')
- return { 'ogf': [((1+(12*x)+(18*x**2)+(4*x**3))/(1-x)**8)] }
-
-
-
-def A108666():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(6*x))+x**2)**(3/2))] }
-
-
-
-def A108673():
- x = SR.var('x')
- return { 'ogf': [((1+(12*x)+(21*x**2)+(6*x**3))/(1-x)**7)] }
-
-
-
-def A108674():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(8*x)+x**2))/(1-x)**6)] }
-
-
-
-def A108675():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x)+(31*x**2)+(14*x**3)+x**4)/(1-x)**7)] }
-
-
-
-def A108676():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(12*x**2)+(2*x**3))/(1-x)**6)] }
-
-
-
-def A108677():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x)+(9*x**2))/(1-x)**7)] }
-
-
-
-def A108678():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(2*x**2))/(1-x)**5)] }
-
-
-
-def A108679():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(20*x**2)+(10*x**3)+x**4)/(1-x)**11)] }
-
-
-
-def A108680():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x)+(14*x**2)+(4*x**3))/(1-x)**9)] }
-
-
-
-def A108681():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(6*x)))/(1-x)**8)] }
-
-
-
-def A108682():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x)+(14*x**2)+(4*x**3))/(1-x)**8)] }
-
-
-
-def A108683():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(6*x)))/(1-x)**7)] }
-
-
-
-def A108684():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(9*x**2)+x**3)/(1-x)**7)] }
-
-
-
-def A108716():
- x = SR.var('x')
- return { 'ogf': [(-((((35*x**2)-(42*x))+3)/((((7*x**3)-(35*x**2))+(21*x))-1)))] }
-
-
-
-def A108732():
- x = SR.var('x')
- return { 'ogf': [(((22*x)+44)/(1-(2*x**2)))] }
-
-
-
-def A108741():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1))/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A108742():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x-(2*x**2))+x**4))] }
-
-
-
-def A108758():
- x = SR.var('x')
- return { 'ogf': [(((1-x)/(((1-(2*x))+x**4)-x**5))+(1/x))] }
-
-
-
-def A108765():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-(3*x))*(x-1)**2))] }
-
-
-
-def A108766():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(5*x))-(3*x**2))+x**3)/(x-1)**4)] }
-
-
-
-def A108781():
- x = SR.var('x')
- return { 'ogf': [sqrt((((1-x)+(8*x**2))/(1-x)**3))] }
-
-
-
-def A108791():
- x = SR.var('x')
- return { 'ogf': [((((-5)+(26*x))-x**2)/((x+1)*(x**2+(18*x)+1)))] }
-
-
-
-def A108792():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*((14206*x**31)+(150238*x**30)+(916976*x**29)+(3972232*x**28)+(13522008*x**27)+(37968860*x**26)+(90996604*x**25)+(190236360*x**24)+(352607230*x**23)+(586165718*x**22)+(881664746*x**21)+(1207443842*x**20)+(1512654886*x**19)+(1738866194*x**18)+(1837742548*x**17)+(1786911600*x**16)+(1598078300*x**15)+(1312598856*x**14)+(987611934*x**13)+(677994354*x**12)+(422347390*x**11)+(236939238*x**10)+(118533110*x**9)+(52176470*x**8)+(19855936*x**7)+(6376140*x**6)+(1672768*x**5)+(341612*x**4)+(50540*x**3)+(4836*x**2)+(258*x)+10))/((x-1)**11*(x+1)**6*(x**2+1)**2*(x**2+x+1)**4*(x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A108808():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x-2)*(((x**3-(6*x**2))+(4*x))-1))/(((((4*x**5)-(6*x**4)-(91*x**3))+(75*x**2))-(23*x))+1))] }
-
-
-
-def A108851():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(4*x)-(3*x**2)))] }
-
-
-
-def A108898():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(4*x))/((x-1)*(((2*x**2)+(2*x))-1)))] }
-
-
-
-def A108924():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**2))/((1-x)*(1-(4*x))*(1+(2*x))))] }
-
-
-
-def A108931():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)-1)*(x-1))/(((x**2+(2*x))-1)*(x**2-(2*x)-1)))] }
-
-
-
-def A108946():
- x = SR.var('x')
- return { 'ogf': [((x**2+x+1)/((1-x)*(x+1)*(x**2+(4*x)+1)))] }
-
-
-
-def A109002():
- x = SR.var('x')
- return { 'ogf': [((9*x)-((x**2*((-89)+(80*x)))/(((10*x)-1)*(x-1))))] }
-
-
-
-def A109008():
- x = SR.var('x')
- return { 'ogf': [((4+x+(2*x**2)+x**3)/((1-x)*(1+x)*(1+x**2)))] }
-
-
-
-def A109009():
- x = SR.var('x')
- return { 'ogf': [(((-5)-x-x**2-x**3-x**4)/((x-1)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A109010():
- x = SR.var('x')
- return { 'ogf': [(((-7)-x-x**2-x**3-x**4-x**5-x**6)/((x-1)*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A109011():
- x = SR.var('x')
- return { 'ogf': [(((-8)-x-(2*x**2)-x**3-(4*x**4)-x**5-(2*x**6)-x**7)/((x-1)*(1+x)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A109012():
- x = SR.var('x')
- return { 'ogf': [(((-9)-x-x**2-(3*x**3)-x**4-x**5-(3*x**6)-x**7-x**8)/((x-1)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A109013():
- x = SR.var('x')
- return { 'ogf': [(((-10)-x-(2*x**2)-x**3-(2*x**4)-(5*x**5)-(2*x**6)-x**7-(2*x**8)-x**9)/((x-1)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A109017():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**6))/((1-x**4)+x**8))] }
-
-
-
-def A109020():
- x = SR.var('x')
- return { 'ogf': [(((-x**2)-x)/((((21*x**3)-(31*x**2))+(11*x))-1))] }
-
-
-
-def A109033():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((((1-(8*x))+(16*x**2))-(8*x**3))))/(4*x*(1-x)))] }
-
-
-
-def A109034():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x)**2)/(1+sqrt((((1-(8*x))+(16*x**2))-(8*x**3))))),
-((1-sqrt((((1-(8*x))+(16*x**2))-(8*x**3))))/(4*x))] }
-
-
-
-def A109044():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(2*x)+x**2+(2*x**3)+x**4))/(1-x**3)**2)] }
-
-
-
-def A109045():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x+(3*x**2)+x**3+(3*x**4)+x**5+x**6))/((x-1)**2*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A109046():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x**4+x**3+(3*x**2)+x+1)*(((x**4+x**3)-x**2)+x+1))/((x-1)**2*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A109047():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+x+x**2+(2*x**3)+(5*x**4)+x**5+(5*x**6)+(2*x**7)+x**8+x**9+x**10))/((x-1)**2*(1+x)**2*(1+x+x**2)**2*((x**2-x)+1)**2))] }
-
-
-
-def A109049():
- x = SR.var('x')
- return { 'ogf': [((8*x*((x**2-x)+1)*(x**12+(2*x**11)+(4*x**10)+(3*x**9)+(4*x**8)+(4*x**7)+(7*x**6)+(4*x**5)+(4*x**4)+(3*x**3)+(4*x**2)+(2*x)+1))/((x-1)**2*(1+x)**2*(x**2+1)**2*(x**4+1)**2))] }
-
-
-
-def A109052():
- x = SR.var('x')
- return { 'ogf': [(((11*x)/(1-x)**2)-((110*x**11)/(1-x**11)**2))] }
-
-
-
-def A109105():
- x = SR.var('x')
- return { 'ogf': [((40*x*(1-(2*x)))/((1-(15*x))+(25*x**2)))] }
-
-
-
-def A109106():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-(5*x)))/((1-(15*x))+(25*x**2)))] }
-
-
-
-def A109107():
- x = SR.var('x')
- return { 'ogf': [(2/(1-(10*x)-x**2))] }
-
-
-
-def A109108():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(10*x)-x**2))] }
-
-
-
-def A109109():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(1-(10*x)-x**2))] }
-
-
-
-def A109110():
- x = SR.var('x')
- return { 'ogf': [(((4+x)-(2*x**2))/((1-(2*x)-x**2)+x**3))] }
-
-
-
-def A109111():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(5*x)))/((1-(250*x))+(750*x**2)))] }
-
-
-
-def A109112():
- x = SR.var('x')
- return { 'ogf': [((2+x)/((1-(6*x))+(3*x**2)))] }
-
-
-
-def A109113():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x))/(1-(6*x)-(3*x**2)))] }
-
-
-
-def A109114():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(5*x))+(3*x**2)))] }
-
-
-
-def A109115():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(4*x)-(3*x**2)))] }
-
-
-
-def A109116():
- x = SR.var('x')
- return { 'ogf': [((4*((5+(73*x)+(105*x**2)+x**3)-(4*x**4)))/(1-x)**7)] }
-
-
-
-def A109117():
- x = SR.var('x')
- return { 'ogf': [((1+(138*x)+(636*x**2)+(398*x**3)+(27*x**4))/(1-x)**6)] }
-
-
-
-def A109118():
- x = SR.var('x')
- return { 'ogf': [((2*((((1+(118*x)+(477*x**2)+(132*x**3))-(13*x**4))+(6*x**5))-x**6))/(1-x)**7)] }
-
-
-
-def A109119():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(1324*x)+(20495*x**2)+(46360*x**3)+(20495*x**4)+(1324*x**5)+x**6))/(1-x)**7)] }
-
-
-
-def A109120():
- x = SR.var('x')
- return { 'ogf': [((20*(49+(1385*x)+(4539*x**2)+(2771*x**3)+(256*x**4)))/(1-x)**7)] }
-
-
-
-def A109121():
- x = SR.var('x')
- return { 'ogf': [((10*(25+(3281*x)+(25068*x**2)+(33404*x**3)+(8539*x**4)+(243*x**5)))/(1-x)**7)] }
-
-
-
-def A109122():
- x = SR.var('x')
- return { 'ogf': [((4*(5+(2333*x)+(24542*x**2)+(39262*x**3)+(11293*x**4)+(325*x**5)))/(1-x)**7)] }
-
-
-
-def A109123():
- x = SR.var('x')
- return { 'ogf': [((16*((((27+(403*x)+(473*x**2))-(15*x**3))+(14*x**4))-(2*x**5)))/(1-x)**7)] }
-
-
-
-def A109124():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(74*x)+(1156*x**2)+(5749*x**3)+(10064*x**4)+(5749*x**5)+(1156*x**6)+(74*x**7)+x**8))/(1-x)**15)] }
-
-
-
-def A109164():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+1)/((1-x)*((x**2-(3*x))+1)))] }
-
-
-
-def A109165():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+1)/((1-(5*x**2))+(2*x**4)))] }
-
-
-
-def A109188():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(1-(2*x)-(3*x**2))**(3/2))] }
-
-
-
-def A109190():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(2*x)-(3*x**2)))-x)/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A109192():
- x = SR.var('x')
- return { 'ogf': [(1/(x**2+sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A109194():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2))))/(1-(2*x)-(3*x**2)))] }
-
-
-
-def A109196():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2))))/(2*(1-(2*x)-(3*x**2))))] }
-
-
-
-def A109222():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2-x**3)/((1-x-(2*x**2))+x**4))] }
-
-
-
-def A109243():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+(2*x))-(6*x**2))+(8*x**3)+(8*x**4))-(32*x**5)))/((1-(2*x**2))*(1-(4*x**2))*((1-(6*x**2))+(8*x**4))))] }
-
-
-
-def A109256():
- x = SR.var('x')
- return { 'ogf': [((((((((-36)+(242*x))-(690*x**2))+(1204*x**3))-(56*x**4))+(66*x**5))-(10*x**6))/(1-x)**7)] }
-
-
-
-def A109265():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x)+x**2))] }
-
-
-
-def A109266():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x**2)+x**3))] }
-
-
-
-def A109268():
- x = SR.var('x')
- return { 'ogf': [(((2-x-(x*sqrt((1-(4*x)))))*(sqrt((1-(4*x)))-x))/(2*(1-(4*x)-x**2)*((1-x)+x**3)))] }
-
-
-
-def A109344():
- x = SR.var('x')
- return { 'ogf': [((x*((49-(950*x))+(1000*x**2)))/((1-x)*((100*x)-1)*((10*x)-1)))] }
-
-
-
-def A109363():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(((2*x)-1)*(x-1)**2))] }
-
-
-
-def A109377():
- x = SR.var('x')
- return { 'ogf': [(((-2)-x-(2*x**2))/((((-1)+(2*x))-x**2)+x**3))] }
-
-
-
-def A109430():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((1+(4*x))-(2*x**3)-(6*x**5))+(8*x**6))-(6*x**7))+(4*x**8))-(6*x**9))+(2*x**11)+x**12+(2*x**13)))/((x-1)*(x**2+1)*(x**4+1)*((x**8-x**4)+1)))] }
-
-
-
-def A109437():
- x = SR.var('x')
- return { 'ogf': [(x/((x+1)*((x**2-(4*x))+1)))] }
-
-
-
-def A109438():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((x+1)*((x**2-(4*x))+1)))] }
-
-
-
-def A109454():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**2-x-4))/((x+1)*((x**2-(3*x))+1)*((x**2+x)-1)))] }
-
-
-
-def A109467():
- x = SR.var('x')
- return { 'ogf': [((1+(22*x)+(108*x**2)+(160*x**3))/(1-(4*x)-(44*x**2)-(144*x**3)-(160*x**4)))] }
-
-
-
-def A109474():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(7*x**3)))/((1-x)**2*(1+x)))] }
-
-
-
-def A109499():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(3*x))/((-1)+(3*x)+(4*x**2)))] }
-
-
-
-def A109500():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(4*x))/((-1)+(4*x)+(5*x**2)))] }
-
-
-
-def A109501():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(5*x))/((-1)+(5*x)+(6*x**2)))] }
-
-
-
-def A109526():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**6))-x**5-(2*x**4)-(2*x**3))+(2*x**2)+2)/(((x**8+x**5)-(2*x**4)-x)+1))] }
-
-
-
-def A109528():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-1)-(3*x)-x**2)+x**3)-(3*x**4))+x**5))/((-1)+(3*x**3)+(3*x**6)+x**9))] }
-
-
-
-def A109529():
- x = SR.var('x')
- return { 'ogf': [((((((1+(2*x)+x**2)-x**3)+(3*x**4))-x**5)+x**7)/(1-(3*x**3)-(3*x**6)-x**9))] }
-
-
-
-def A109530():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x**2)+(3*x**3)+x**4+(3*x**5)+(2*x**6))-x**7)+x**8)/(1-(3*x**3)-(3*x**6)-x**9))] }
-
-
-
-def A109531():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-x)+1)*(x**5+x**4+(2*x**2)+(2*x)+1))/((-1)+x**3+(2*x**6)+x**9)))] }
-
-
-
-def A109532():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+(2*x**4)+x**7)/(1-x**3-(2*x**6)-x**9))] }
-
-
-
-def A109533():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**3+x**4+(2*x**5)+x**6+x**8)/(1-x**3-(2*x**6)-x**9))] }
-
-
-
-def A109537():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-x**3)/(((1-x-x**2)+x**4)-x**6))] }
-
-
-
-def A109545():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(2*x)-x**2-x**3)),
-(((-1)+x+x**2)/((-1)+(2*x)+x**2+x**3))] }
-
-
-
-def A109588():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+x+x**2)-(2*x**3))+(4*x**5)+x**6)-x**7)+x**8))/((x-1)**4*(1+x+x**2)**4))] }
-
-
-
-def A109613():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3)/(1-x**2)**2)] }
-
-
-
-def A109614():
- x = SR.var('x')
- return { 'ogf': [(-((((((-1)-x-x**2-(4*x**3))+(2*x**4))-x**6-x**7)+x**8)/((x-1)**4*(1+x+x**2)**4)))] }
-
-
-
-def A109620():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)*(x**2+1))/(x-1)**4)] }
-
-
-
-def A109718():
- x = SR.var('x')
- return { 'ogf': [((x+(3*x**3))/(1-x**4))] }
-
-
-
-def A109720():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+x**3+x**4+x**5+x**6)/(1-x**7))] }
-
-
-
-def A109731():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-(2*x**2)-x**3)/(x**4+(4*x**2)+1))] }
-
-
-
-def A109753():
- x = SR.var('x')
- return { 'ogf': [((x+(3*x**3)+(5*x**5)+(7*x**7))/(1-x**8))] }
-
-
-
-def A109764():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+x)*((7*x**2)+(46*x)+7))/(1-x)**7)] }
-
-
-
-def A109771():
- x = SR.var('x')
- return { 'ogf': [sqrt((1+(6*x)+x**2))] }
-
-
-
-def A109793():
- x = SR.var('x')
- return { 'ogf': [((((((-1)+(46*x**4))-(4*x**3)-(2*x))+(118*x**6)+(92*x**5))-(3*x**2))/((x+1)*(1+x**2)*((50*x**4)-1)))] }
-
-
-
-def A109794():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**3)/((x**2-x-1)*((x**2+x)-1)))] }
-
-
-
-def A109808():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(1-(7*x)))] }
-
-
-
-def A109815():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+x**2+(4*x**4))-(2*x**5)-x**6)+x**7+x**8))/((x-1)**4*(1+x+x**2)**4))] }
-
-
-
-def A109900():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((((1-(2*x)-x**2)+(4*x**3))-x**4-(2*x**5))+x**6))] }
-
-
-
-def A109975():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**3)/(1-(2*x))**2)] }
-
-
-
-def A109980():
- x = SR.var('x')
- return { 'ogf': [(1/(x+sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A109984():
- x = SR.var('x')
- return { 'ogf': [((x*(5-x))/((1-(6*x))+x**2)**(3/2))] }
-
-
-
-def A110008():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((x**15-x**14)+x**13)-x**12-x**11-(3*x**10))+(11*x**9)+(3*x**8))-x**7)+(3*x**6)+(11*x**5))-(3*x**4))+x**3+x**2+x+1))/((x-1)**5*(x+1)**5*(x**2+1)**5)))] }
-
-
-
-def A110034():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x)-x**2)+(2*x**3))/((1-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A110035():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A110110():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((-1)+(sqrt(((1-(6*x**2))+x**4))/(1-(2*x)-x**2))))/(2*x))] }
-
-
-
-def A110159():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(3*x**2))/(1-x)**6)] }
-
-
-
-def A110161():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**4)*(1-x**6))/(1-x**12))] }
-
-
-
-def A110166():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(6*x))+(5*x**2)))/(1-((1-(3*x)-sqrt(((1-(6*x))+(5*x**2))))/(2*x))))] }
-
-
-
-def A110170():
- x = SR.var('x')
- return { 'ogf': [((1-x)/sqrt(((1-(6*x))+x**2)))] }
-
-
-
-def A110185():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)+(4*x*(3+x**2))))/(1-x**2)**2)] }
-
-
-
-def A110198():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*sqrt(((1+x+x**2)*((1-(3*x))+x**2)))))] }
-
-
-
-def A110199():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x**2))))/((1-x)*2*x**2))] }
-
-
-
-def A110202():
- x = SR.var('x')
- return { 'ogf': [((x**2*((9-(38*x))+(32*x**2)))/((1-x)**2*(1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A110203():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((49-(396*x))+(1140*x**2))-(1360*x**3))+(576*x**4)))/((1-x)**3*(1-(2*x))**2*(1-(4*x))**3))] }
-
-
-
-def A110204():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((225-(2626*x))+(12500*x**2))-(30872*x**3))+(41536*x**4))-(28928*x**5))+(8192*x**6)))/((1-x)**4*(1-(2*x))**3*(1-(4*x))**4))] }
-
-
-
-def A110206():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)))/((1-(4*x))*(1-(8*x))*(1-(16*x))))] }
-
-
-
-def A110210():
- x = SR.var('x')
- return { 'ogf': [(((4*x)+1)/((6*x**3)-(5*x)-1))] }
-
-
-
-def A110211():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((x-1)*((6*x**2)+(6*x)+1)))] }
-
-
-
-def A110213():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x))/((x-1)*((6*x**2)+(6*x)+1)))] }
-
-
-
-def A110224():
- x = SR.var('x')
- return { 'ogf': [((1-x-(3*x**2)-x**3)/((1-(3*x)-(6*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A110241():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-(8*x**2))/((1-(6*x)-(24*x**2))+(64*x**3)))] }
-
-
-
-def A110269():
- x = SR.var('x')
- return { 'ogf': [(-((x*(2+(4*x)+(3*x**2)))/((x-1)*(1+x)*(1+x+x**2))))] }
-
-
-
-def A110272():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(4*x)-x**2))/(((1+(2*x))-x**2)*(1-(14*x)-x**2)))] }
-
-
-
-def A110286():
- x = SR.var('x')
- return { 'ogf': [(15/(1-(2*x)))] }
-
-
-
-def A110287():
- x = SR.var('x')
- return { 'ogf': [(17/(1-(2*x)))] }
-
-
-
-def A110288():
- x = SR.var('x')
- return { 'ogf': [(19/(1-(2*x)))] }
-
-
-
-def A110293():
- x = SR.var('x')
- return { 'ogf': [(((1+(7*x))-x**2-x**3)/(((x**2-(4*x))+1)*(x**2+(4*x)+1)))] }
-
-
-
-def A110294():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+x**2)/(((x**2-(4*x))+1)*(x**2+(4*x)+1)))] }
-
-
-
-def A110315():
- x = SR.var('x')
- return { 'ogf': [(((1-x-(4*x**2))+x**3+x**4)/((1-x)**3*(1+x)**3))] }
-
-
-
-def A110320():
- x = SR.var('x')
- return { 'ogf': [(((1-x-x**2)/(2*x**2*sqrt(((1-(2*x)-x**2-(2*x**3))+x**4))))-(1/(2*x**2)))] }
-
-
-
-def A110325():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-(2*x**2))/(1-x)**3)] }
-
-
-
-def A110331():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+x**2)/(1-x)**3)] }
-
-
-
-def A110344():
- x = SR.var('x')
- return { 'ogf': [(-((x*((7*x**3)+(3*x**2)+(5*x)+1))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A110345():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(9*x**2)+x**3+(2*x**4)))/(1-x**2)**3)] }
-
-
-
-def A110349():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(2*x**2)+x**3))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A110422():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((2*x**3)-x**2)+1))/((x-1)**2*(x**2+1)**3))] }
-
-
-
-def A110427():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)-x**2))/(1-x)**4)] }
-
-
-
-def A110450():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+x)**2)/(1-x)**5)] }
-
-
-
-def A110514():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2+x**3)/((1-x**2)**2*(1+x**2)))] }
-
-
-
-def A110516():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2+x**3)/((1+x)*(1-x**4)))] }
-
-
-
-def A110527():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(5*x)))/((1+x)*((x**2+(4*x))-1))))] }
-
-
-
-def A110528():
- x = SR.var('x')
- return { 'ogf': [(-((1+(7*x)+(2*x**2))/((1+x)*((x**2+(4*x))-1))))] }
-
-
-
-def A110532():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+(2*x**3)+(2*x**4)))/((1+x)*(x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A110533():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(2+(3*x)+x**2+x**3+x**4+(4*x**5)+(3*x**6)+x**7+x**8+x**9+x**10+x**11))/(((((x**4-x**3)+x**2)-x)+1)*(1+x)**2*(x**4+x**3+x**2+x+1)**2*(x-1)**3)))] }
-
-
-
-def A110550():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+(3*x)+1)*((x**2-x)+1))/((x-1)*(1+x**4))))] }
-
-
-
-def A110551():
- x = SR.var('x')
- return { 'ogf': [(((-1)-x-x**2)/((x-1)*((x**2-x)+1)))] }
-
-
-
-def A110568():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+(3*x**2))-x**3)+x**4)/(((((1-x)+x**2)-x**3)+x**4)-x**5))] }
-
-
-
-def A110569():
- x = SR.var('x')
- return { 'ogf': [(((((2-x)+(4*x**2))-x**3)+(2*x**4))/(((((1-x)+x**2)-x**3)+x**4)-x**5))] }
-
-
-
-def A110593():
- x = SR.var('x')
- return { 'ogf': [((3*x)+((6*x**2)/(1-(3*x))))] }
-
-
-
-def A110594():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1-x))/(1-(4*x)))] }
-
-
-
-def A110609():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x*(((2*x)+(2*sqrt((1-(4*x)))))-3))-sqrt((1-(4*x))))+1)/(2*sqrt((1-(4*x))**3)*x**2)))] }
-
-
-
-def A110610():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(((1-x)+(2*x**2))-x**3))/(1-x)**4)] }
-
-
-
-def A110611():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+x**2)-(2*x**3))+x**4))/((1-x)**4*(1+x)))] }
-
-
-
-def A110622():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((1+x+x**2+x**3)-x**4-(3*x**5))+(3*x**6)+(11*x**7))-x**8)+(3*x**9))-(3*x**10))+(11*x**11)+x**12)-x**13-x**14)+x**15))/((x-1)**5*(1+x)**5*(x**2+1)**5)))] }
-
-
-
-def A110654():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-x**2)))] }
-
-
-
-def A110656():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A110657():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-(2*x**2))+x**3))/((1+x)*(1+x**2)*(1-x)**2))] }
-
-
-
-def A110658():
- x = SR.var('x')
- return { 'ogf': [((((x**2-x)+1)*((x**6-(2*x**4))+x**2+1))/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A110660():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-x)**3*(1+x)**2))] }
-
-
-
-def A110665():
- x = SR.var('x')
- return { 'ogf': [((x-(2*x**2))/((1-x)+x**2)**2)] }
-
-
-
-def A110666():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(2*x)))/((x-1)*((x**2-x)+1)**2))] }
-
-
-
-def A110667():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(2*x)))/((x-1)**2*((x**2-x)+1)**2)))] }
-
-
-
-def A110668():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(2*x)))/(((x**2-x)+1)**2*(x-1)**3))] }
-
-
-
-def A110669():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1))/((x-1)**4*((x**2-x)+1)**2)))] }
-
-
-
-def A110670():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)-1))/((x-1)**5*((x**2-x)+1)**2))] }
-
-
-
-def A110671():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1))/((x-1)**6*((x**2-x)+1)**2)))] }
-
-
-
-def A110691():
- x = SR.var('x')
- return { 'ogf': [((x**6+(35*x**5)+(227*x**4)+(410*x**3)+(227*x**2)+(35*x)+1)/(x-1)**10)] }
-
-
-
-def A110692():
- x = SR.var('x')
- return { 'ogf': [(((8*x**4)+(54*x**3)+(71*x**2)+(21*x)+1)/(x-1)**8)] }
-
-
-
-def A110886():
- x = SR.var('x')
- return { 'ogf': [(((3*(1-x))-sqrt(((1-x)*(1-(5*x)-(4*x**2)))))/(2*(1-x)))] }
-
-
-
-def A110907():
- x = SR.var('x')
- return { 'ogf': [(1-((2*x*(6+(13*x)+(4*x**2)+x**3))/((1+x)*(x-1)**3)))] }
-
-
-
-def A110935():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((2*x**4)-x**3-(3*x**2))+x+2))/((x-1)**2*(x+1)**2*((x**2+x)-1))))] }
-
-
-
-def A111053():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-(4*x)-x**2))/(((1-x)*(1-(4*x)-(2*x**2)))+((1-(5*x))*sqrt((1-(4*x))))))] }
-
-
-
-def A111074():
- x = SR.var('x')
- return { 'ogf': [(((3-(3*x))+x**3)/((1-x)*(1-x**2)**2))] }
-
-
-
-def A111080():
- x = SR.var('x')
- return { 'ogf': [(11/(x-1)**4)] }
-
-
-
-def A111109():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**6+(3*x**5)+(2*x**4))-(2*x**3)-(4*x**2))+(4*x))-1))/((1-x)**2*(1-(2*x)-x**2)**2)))] }
-
-
-
-def A111110():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**4-x**3)+(4*x**2))-(3*x))+1))/(((((1-(5*x))+(9*x**2))-(8*x**3))+(2*x**4))-x**5))] }
-
-
-
-def A111144():
- x = SR.var('x')
- return { 'ogf': [((x*((35-(60*x))+(26*x**2)))/(1-x)**4)] }
-
-
-
-def A111158():
- x = SR.var('x')
- return { 'ogf': [(-((1+(28*x)+(639*x**2)+(11050*x**3)+(136266*x**4)+(1255833*x**5)+(9120009*x**6)+(54389347*x**7)+(274778754*x**8)+(1204206107*x**9)+(4.663304831E9*x**10)+(1.619375171E10*x**11)+(5.1030919095E10*x**12)+(1.4736881397E11*x**13)+(3.93197605792E11*x**14)+(9.75980866856E11*x**15)+(2.266977091533E12*x**16)+(4.952467350549E12*x**17)+(1.0220353765317E13*x**18)+(2.0000425620982E13*x**19)+(3.7238997469701E13*x**20)+(6.6164771134709E13*x**21)+(1.12476891429452E14*x**22)+(1.83365550921732E14*x**23)+(2.87269293973236E14*x**24)+(4.33289919534912E14*x**25)+(6.30230390692834E14*x**26)+(8.85291593024017E14*x**27)+(1.202550133880678E15*x**28)+(1.581424159799051E15*x**29)+(2.01539567462804E15*x**30)+(2.491275358809867E15*x**31)+(2.989255690350053E15*x**32)+(3.48389847978232E15*x**33)+(3.946056312532923E15*x**34)+(4.345559454316341E15*x**35)+(4.654344257066635E15*x**36)+(4.849590327731195E15*x**37)+(4.916398325176454E15*x**38)+(4.849590327731195E15*x**39)+(4.654344257066635E15*x**40)+(4.345559454316341E15*x**41)+(3.946056312532923E15*x**42)+(3.48389847978232E15*x**43)+(2.989255690350053E15*x**44)+(2.491275358809867E15*x**45)+(2.01539567462804E15*x**46)+(1.581424159799051E15*x**47)+(1.202550133880678E15*x**48)+(8.85291593024017E14*x**49)+(6.30230390692834E14*x**50)+(4.33289919534912E14*x**51)+(2.87269293973236E14*x**52)+(1.83365550921732E14*x**53)+(1.12476891429452E14*x**54)+(6.6164771134709E13*x**55)+(3.7238997469701E13*x**56)+(2.0000425620982E13*x**57)+(1.0220353765317E13*x**58)+(4.952467350549E12*x**59)+(2.266977091533E12*x**60)+(9.75980866856E11*x**61)+(3.93197605792E11*x**62)+(1.4736881397E11*x**63)+(5.1030919095E10*x**64)+(1.619375171E10*x**65)+(4.663304831E9*x**66)+(1204206107*x**67)+(274778754*x**68)+(54389347*x**69)+(9120009*x**70)+(1255833*x**71)+(136266*x**72)+(11050*x**73)+(639*x**74)+(28*x**75)+x**76)/(((-1)+x**2)**6*(x**2+x+1)**7*(x**6+x**5+x**4+x**3+x**2+x+1)**2*(x**6+x**3+1)*(x**4+x**3+x**2+x+1)**4*((-1)+x)**9*(x+1)**4*(x**2+1)**4)))] }
-
-
-
-def A111160():
- x = SR.var('x')
- return { 'ogf': [(-(((-3)+sqrt((1-(4*x)))+(sqrt(2)*sqrt((1+sqrt((1-(4*x)))+(6*x)))))/(4*x)))] }
-
-
-
-def A111216():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(31*x))+x**2))] }
-
-
-
-def A111258():
- x = SR.var('x')
- return { 'ogf': [((x*((539+(21*x)+(1243*x**2))-(297*x**3)-(7*x**4)-(297*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A111277():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))**2/((1-(3*x))*(1-x)**2))] }
-
-
-
-def A111280():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x)-(2*x**3))+(29*x**4)))/((((1-(4*x))+(2*x**2))-(4*x**3))+x**5))] }
-
-
-
-def A111281():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(2*x**2)))/(((1-(3*x))+(2*x**2))-(2*x**3)))] }
-
-
-
-def A111282():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-(3*x))+x**2))] }
-
-
-
-def A111283():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)-x**2-x**3))/((1-(5*x))+(3*x**2)+x**4))] }
-
-
-
-def A111284():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/(1-x)**2)] }
-
-
-
-def A111285():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+x**2))/(((1-(4*x))+(3*x**2))-(2*x**3)))] }
-
-
-
-def A111286():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/(1-(2*x)))] }
-
-
-
-def A111297():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+x**2)-x**3)/(1-(2*x))**2)] }
-
-
-
-def A111314():
- x = SR.var('x')
- return { 'ogf': [((((2*x**2)-x)+1)/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A111352():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-1)/((x+1)*((x**2+(2*x))-1)))] }
-
-
-
-def A111365():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(1-(5*x)-(3*x**2)))] }
-
-
-
-def A111384():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(2*x)))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A111385():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((3*x**2)+(3*x)+1))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A111396():
- x = SR.var('x')
- return { 'ogf': [((x*((12-(18*x))+(7*x**2)))/(x-1)**4)] }
-
-
-
-def A111466():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x**2)+x**3))/(((x**2+x)-1)*((x**4-x**3)+(2*x**2)+x+1))))] }
-
-
-
-def A111569():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2)/(((x**2+x)-1)*(1+x**2)))] }
-
-
-
-def A111570():
- x = SR.var('x')
- return { 'ogf': [(((((-2)-(3*x))+x**2)-x**3)/((1+x**2)*((x**2+x)-1)))] }
-
-
-
-def A111571():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(3*x**2))/((1+x**2)*((x**2+x)-1)))] }
-
-
-
-def A111572():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+x**2)/((1+x**2)*((x**2+x)-1)))] }
-
-
-
-def A111573():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)))/(((x**2+x)-1)*(x**2+1))))] }
-
-
-
-def A111574():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(2*x))-(3*x**2))/(((x**2+x)-1)*(x**2+1)))] }
-
-
-
-def A111586():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1+x+x**2+(2*x**3)+(3*x**4)+(3*x**5)+x**6)-x**7-x**9))/((1+x)*((-1)+(2*x)+x**3))))] }
-
-
-
-def A111587():
- x = SR.var('x')
- return { 'ogf': [((x+1)**2/((x**2+1)*(1-(2*x)-x**2)))] }
-
-
-
-def A111607():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2)+(3*x**3)+(5*x**4)+(3*x**5)+(7*x**6)+(2*x**7)+(7*x**8)+(6*x**9)+(5*x**10)+(3*x**11)+(3*x**12)+x**13+x**14)/(1-x**8)**2)] }
-
-
-
-def A111647():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x**3))-(17*x**2)-(99*x))/(((x**2-(6*x))+1)*((x**2-(198*x))+1)))] }
-
-
-
-def A111648():
- x = SR.var('x')
- return { 'ogf': [(-((((11*x**2)-(22*x))+3)/((x-1)*((x**2-(34*x))+1))))] }
-
-
-
-def A111649():
- x = SR.var('x')
- return { 'ogf': [(-((((((20*x**6)-(700*x**5))+(700*x**4))-(20*x**3)-x**2-(34*x))+3)/((x-1)*((x**2-(34*x))+1))))] }
-
-
-
-def A111694():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x-2)*(x-4))/(1-x)**4)] }
-
-
-
-def A111710():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+x**2))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A111733():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(7*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A111746():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(2*x)+x**2))/((1-x)**4*(1+x)))] }
-
-
-
-def A111766():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-5)+x))/((1+x)*((1-(6*x))+x**2))))] }
-
-
-
-def A111951():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((3-(2*x))+(4*x**2))-(2*x**3))+(3*x**4)))/((x-1)*(1+x**2)*(1+x**4))))] }
-
-
-
-def A111952():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+(6*x**2)+(2*x**3)+(5*x**4)+x**5+(4*x**6))/(1-x**7))] }
-
-
-
-def A111955():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)))/((1+x)*((x**2+(2*x))-1))))] }
-
-
-
-def A111989():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(6*x))+(8*x**3)))] }
-
-
-
-def A111990():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(6*x))+(8*x**3))**2)] }
-
-
-
-def A111991():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(6*x))+(8*x**3))**3)] }
-
-
-
-def A111993():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*x))**5] }
-
-
-
-def A111994():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*x))**6] }
-
-
-
-def A111995():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*x))**7] }
-
-
-
-def A111996():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*x))**8] }
-
-
-
-def A111997():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*x))**9] }
-
-
-
-def A111998():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(6*x))+x**2)))/(4*x))**10] }
-
-
-
-def A112002():
- x = SR.var('x')
- return { 'ogf': [((x*(720+(3708*x)+(4400*x**2)+(1452*x**3)+(114*x**4)+x**5))/(1-x)**13)] }
-
-
-
-def A112027():
- x = SR.var('x')
- return { 'ogf': [(-((x*((6*x**7)-(3*x**4)-(3*x**3)-x**2-(2*x)-1))/((x-1)*(x+1)*(x**2+1)*((3*x**4)-1))))] }
-
-
-
-def A112031():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**2)+x+3)/((x**2+1)*((2*x**2)-1))))] }
-
-
-
-def A112032():
- x = SR.var('x')
- return { 'ogf': [(-((x+4)/((2*x**2)-1)))] }
-
-
-
-def A112033():
- x = SR.var('x')
- return { 'ogf': [(((6*x)+24)/(1-(2*x**2)))] }
-
-
-
-def A112259():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)))/((1-(8*x))*(1+(11*x)+(64*x**2))))] }
-
-
-
-def A112260():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((8*x**2)-(4*x))+1))/(((2*x)-1)*(((4*x**2)-x)+1))))] }
-
-
-
-def A112261():
- x = SR.var('x')
- return { 'ogf': [(-((2*((3*x)-1))/(((2*x)-1)*(((4*x**2)-x)+1))))] }
-
-
-
-def A112299():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2)*(1-x)**2)/((1+x**2)*(1+x**4)))] }
-
-
-
-def A112300():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/(((1-x)+x**2)*(1+x+x**2)))] }
-
-
-
-def A112335():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-x**2)/(1-x)**2)] }
-
-
-
-def A112403():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(16*x))+(28*x**2)+(56*x**3))-(140*x**4))+(56*x**5)+(28*x**6))-(16*x**7))+x**8)/((x**2-x)+1)**8)] }
-
-
-
-def A112421():
- x = SR.var('x')
- return { 'ogf': [((2*x**7)/((1-x)**2*(1-x**6)))] }
-
-
-
-def A112455():
- x = SR.var('x')
- return { 'ogf': [(-((3+x**2)/(1+x**2+x**3)))] }
-
-
-
-def A112459():
- x = SR.var('x')
- return { 'ogf': [((x**3*(3+(2*x)))/(1-x)**7)] }
-
-
-
-def A112460():
- x = SR.var('x')
- return { 'ogf': [((x**4*(4+(3*x)))/(1-x)**9)] }
-
-
-
-def A112461():
- x = SR.var('x')
- return { 'ogf': [((x**5*(5+(4*x)))/(1-x)**11)] }
-
-
-
-def A112462():
- x = SR.var('x')
- return { 'ogf': [((x**6*(6+(5*x)))/(1-x)**13)] }
-
-
-
-def A112463():
- x = SR.var('x')
- return { 'ogf': [((x**7*(7+(6*x)))/(1-x)**15)] }
-
-
-
-def A112464():
- x = SR.var('x')
- return { 'ogf': [((x**8*(8+(7*x)))/(1-x)**17)] }
-
-
-
-def A112478():
- x = SR.var('x')
- return { 'ogf': [((1+x+sqrt((1+(6*x)+x**2)))/2)] }
-
-
-
-def A112495():
- x = SR.var('x')
- return { 'ogf': [((3-(5*x))/((1-x)**3*(1-(2*x))**2*(1-(3*x))))] }
-
-
-
-def A112496():
- x = SR.var('x')
- return { 'ogf': [((((15-(90*x))+(175*x**2))-(112*x**3))/((1-x)**4*(1-(2*x))**3*(1-(3*x))**2*(1-(4*x))))] }
-
-
-
-def A112498():
- x = SR.var('x')
- return { 'ogf': [((x**3*(3-x-(6*x**2)))/((1-x)**3*(1-(2*x))**2*(1-(3*x))))] }
-
-
-
-def A112524():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(5*x))-(3*x**2))+x**3))/(1-x)**4)] }
-
-
-
-def A112556():
- x = SR.var('x')
- return { 'ogf': [((((2*(1+x))/(1-x))+(x/(1-(4*x))**(1/2)))/(2+x))] }
-
-
-
-def A112575():
- x = SR.var('x')
- return { 'ogf': [(x/((((1-(2*x))+x**2)-(2*x**3))+x**4))] }
-
-
-
-def A112576():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-(3*x**2))+x**3+x**4))] }
-
-
-
-def A112577():
- x = SR.var('x')
- return { 'ogf': [(x/(((x**2+(2*x))-1)*(x**2-x-1)))] }
-
-
-
-def A112611():
- x = SR.var('x')
- return { 'ogf': [((4*x*((1+x)-(15*x**2)))/(((5*x)-1)*((45*x**3)-1)))] }
-
-
-
-def A112627():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-x-(16*x**2))+(16*x**3)))] }
-
-
-
-def A112651():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(10*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A112652():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A112653():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)))/((1-x)**2*(1+x)))] }
-
-
-
-def A112654():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(9*x)+x**2))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A112689():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x**2)*(1+x+x**2)*(1-x)**2)),
-(x/((((((1-x)+x**2)-(2*x**3))+x**4)-x**5)+x**6))] }
-
-
-
-def A112712():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((1+x)-x**2-x**3)+x**4)-(2*x**6))+(2*x**8))-x**10)+x**11+x**12)-x**13-x**14))/(1-x**20))] }
-
-
-
-def A112742():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+x))/(1-x)**5)] }
-
-
-
-def A112884():
- x = SR.var('x')
- return { 'ogf': [((x*(((-(2*x**3))+(3*x))-2))/((x-1)**2*(((2*x**2)+x)-1)))] }
-
-
-
-def A112951():
- x = SR.var('x')
- return { 'ogf': [(x*((2/((3*x)+sqrt((1-(4*x)))+sqrt(((1-(6*x))+x**2))))+(x/(1-x))))] }
-
-
-
-def A112986():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((5*x**3)+(2*x**2)+(2*x)+3))/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A113070():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/(1-(2*x))**2)] }
-
-
-
-def A113225():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+x**2)/((1-x)*(x+1)*((x**2+(2*x))-1)))] }
-
-
-
-def A113249():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(27*x**2)+(81*x**3))/(((-(3*x))+1)*((3*x)+1)*((9*x**2)+(4*x)+1)))] }
-
-
-
-def A113251():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(75*x**2)+(625*x**3))/(((5*x)+1)*(1-(5*x))*((25*x**2)+(4*x)+1)))] }
-
-
-
-def A113252():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(108*x**2)+(1296*x**3))/(((6*x)+1)*(1-(6*x))*((36*x**2)+(4*x)+1)))] }
-
-
-
-def A113253():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(147*x**2)+(2401*x**3))/(((7*x)+1)*(1-(7*x))*((49*x**2)+(4*x)+1)))] }
-
-
-
-def A113254():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(192*x**2)+(4096*x**3))/(((8*x)+1)*(1-(8*x))*((64*x**2)+(4*x)+1)))] }
-
-
-
-def A113255():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(243*x**2)+(6561*x**3))/(((9*x)+1)*(1-(9*x))*((81*x**2)+(4*x)+1)))] }
-
-
-
-def A113256():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(300*x**2)+(10000*x**3))/(((10*x)+1)*(1-(10*x))*((100*x**2)+(4*x)+1)))] }
-
-
-
-def A113282():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)/(1-x**2)/(1-(2*x)-x**2))+((x*(3+x**2))/(1-x**4)))] }
-
-
-
-def A113283():
- x = SR.var('x')
- return { 'ogf': [((((1+x)/(1-x)/((1-(6*x))+x**2))*((1-x)+((1-(6*x))+x**2)**(1/2)))/2)**(1/2)] }
-
-
-
-def A113284():
- x = SR.var('x')
- return { 'ogf': [((((1+x)/(1-x)/((1-(6*x))+x**2))*(1-x-((1-(6*x))+x**2)**(1/2)))/2/x)**(1/2)] }
-
-
-
-def A113300():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x)-x**2-x**3))] }
-
-
-
-def A113301():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1))/((x-1)*((x**3+x**2+(3*x))-1)))] }
-
-
-
-def A113338():
- x = SR.var('x')
- return { 'ogf': [((x*(41+(18*x)+(278*x**2)+(18*x**3)+(41*x**4)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A113405():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1-(2*x))+x**3)-(2*x**4)))] }
-
-
-
-def A113422():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+(3*x**2)+(3*x**3)+(2*x**4))/((1-x)**2*(1-x**3)))] }
-
-
-
-def A113435():
- x = SR.var('x')
- return { 'ogf': [((1-x**3)/((1-x-(2*x**3))+x**4))] }
-
-
-
-def A113436():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))+(8*x**2))-(4*x**3))/((((1-(7*x))+(15*x**2))-(11*x**3))+x**4))] }
-
-
-
-def A113437():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(5*x**2))-(2*x**3))/((((1-(7*x))+(15*x**2))-(11*x**3))+x**4))] }
-
-
-
-def A113439():
- x = SR.var('x')
- return { 'ogf': [((1-x**4)/((1-x-(2*x**4))+x**5))] }
-
-
-
-def A113440():
- x = SR.var('x')
- return { 'ogf': [(-(((((1-(7*x))+(18*x**2))-(20*x**3))+(8*x**4))/((((((-1)+(9*x))-(28*x**2))+(38*x**3))-(20*x**4))+x**5)))] }
-
-
-
-def A113441():
- x = SR.var('x')
- return { 'ogf': [(-(((((1-(6*x))+(13*x**2))-(12*x**3))+(4*x**4))/((((((-1)+(9*x))-(28*x**2))+(38*x**3))-(20*x**4))+x**5)))] }
-
-
-
-def A113442():
- x = SR.var('x')
- return { 'ogf': [(-(((((1-(5*x))+(9*x**2))-(7*x**3))+(2*x**4))/((((((-1)+(9*x))-(28*x**2))+(38*x**3))-(20*x**4))+x**5)))] }
-
-
-
-def A113443():
- x = SR.var('x')
- return { 'ogf': [(-(((((1-(4*x))+(6*x**2))-(4*x**3))+x**4)/((((((-1)+(9*x))-(28*x**2))+(38*x**3))-(20*x**4))+x**5)))] }
-
-
-
-def A113444():
- x = SR.var('x')
- return { 'ogf': [((1-x**5)/((1-x-(2*x**5))+x**6))] }
-
-
-
-def A113497():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(4*x**2)))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A113500():
- x = SR.var('x')
- return { 'ogf': [((((x**4-(140*x**3)-(965*x**2))+(894*x))-32)/((x-1)*(x+1)*((x**2-(123*x))+1)))] }
-
-
-
-def A113506():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((((((((6*x**19)-(5*x**17))+x**16)-x**15-(732*x**14)-x**13)+(593*x**12))-(107*x**11))+(118*x**10))-(743*x**9))+(94*x**8))-(327*x**7))+(786*x**6)+(93*x**5))-(5*x**4)-(5*x**3))+(25*x**2))-(31*x)-1))/((x-1)*(x+1)*((x**2-(3*x))+1)*((((x**4-x**3)+x**2)-x)+1)*((x**4-x**3)+(6*x**2)+(4*x)+1)*(((x**4+(4*x**3)+(6*x**2))-x)+1)))] }
-
-
-
-def A113618():
- x = SR.var('x')
- return { 'ogf': [((1+(28*x)+(1533*x**2)+(11212*x**3)+(18907*x**4)+(7956*x**5)+(679*x**6)+(4*x**7))/(x-1)**8)] }
-
-
-
-def A113630():
- x = SR.var('x')
- return { 'ogf': [(-(((5*x**8)+(1548*x**7)+(31360*x**6)+(129620*x**5)+(148266*x**4)+(48316*x**3)+(3728*x**2)+(36*x)+1)/(x-1)**9))] }
-
-
-
-def A113632():
- x = SR.var('x')
- return { 'ogf': [((1+(x*(45+(x*(8712+(x*(190668+(x*(982290+(x*(1543254+(x*(784080+(x*(116268+(x*(3477+(5*x))))))))))))))))))/(x-1)**10)] }
-
-
-
-def A113655():
- x = SR.var('x')
- return { 'ogf': [((((3*x)-x**2-x**3)+(2*x**4))/((1-x-x**3)+x**4))] }
-
-
-
-def A113726():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-(2*x**2))*(1+x+(2*x**2))))] }
-
-
-
-def A113727():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x)-x**2)*(1+(2*x)+x**2)))] }
-
-
-
-def A113770():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(7*x**2))/(1-x)**2)] }
-
-
-
-def A113778():
- x = SR.var('x')
- return { 'ogf': [((x*((4-x-x**2-x**3)+(3*x**4)))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A113801():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A113804():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+(3*x)+(2*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A113828():
- x = SR.var('x')
- return { 'ogf': [((x*((32*x**3)+(16*x**2)+(8*x)+1))/((x-1)*((8*x**2)-1)*((8*x**2)+1)))] }
-
-
-
-def A113829():
- x = SR.var('x')
- return { 'ogf': [(((9+(16*x)+(32*x**2)+(128*x**3)+(256*x**4)+(4096*x**5))-(4096*x**6))/((1-x-(4096*x**6))+(4096*x**7)))] }
-
-
-
-def A113835():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x)+1))/((x-1)*((8*x**2)-1)))] }
-
-
-
-def A113836():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1))/((x-1)*((8*x**2)-1)))] }
-
-
-
-def A113841():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(4*x**2)))/(((-1)+x)*((-1)+(4*x))*(1+(4*x)+(16*x**2))))] }
-
-
-
-def A113854():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(32*x**2)))/(((-1)+x)*((-1)+(4*x))*(1+(4*x)+(16*x**2))))] }
-
-
-
-def A113861():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)))/((1+x)*(1-(2*x))**2))] }
-
-
-
-def A113867():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)+(32*x**2)))/(((-1)+x)*((-1)+(4*x))*(1+(4*x)+(16*x**2))))] }
-
-
-
-def A113920():
- x = SR.var('x')
- return { 'ogf': [(((x**3-x)+1)**3/(x**3*(1-x)**3))] }
-
-
-
-def A113922():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x)+x**2)**3/(1-x)**4)] }
-
-
-
-def A113946():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x)+1)**3/((x+1)*((4*x)-1)*((4*x)+1))))] }
-
-
-
-def A113956():
- x = SR.var('x')
- return { 'ogf': [((1+sqrt((1-(4*x))))/(sqrt((1-(4*x)))*((sqrt((1-(4*x)))*(x+2))-x)))] }
-
-
-
-def A113968():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((2*x)+1))/((x+1)*((4*x)-1)*((4*x)+1))))] }
-
-
-
-def A113979():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(3*x)))/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A113980():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A114014():
- x = SR.var('x')
- return { 'ogf': [(-(((16*x**4)+(32*x**3)+(24*x**2)+(8*x)+1)/((x+1)*((4*x)-1)*((4*x)+1))))] }
-
-
-
-def A114040():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(7*x**2))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A114044():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x+x**5+x**10+x**25+x**50+x**100)))] }
-
-
-
-def A114046():
- x = SR.var('x')
- return { 'ogf': [((1-(1151*x))/((1-(2302*x))+x**2))] }
-
-
-
-def A114047():
- x = SR.var('x')
- return { 'ogf': [((1-(649*x))/((1-(1298*x))+x**2))] }
-
-
-
-def A114048():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(170*x)))/((1-(340*x))+x**2))] }
-
-
-
-def A114049():
- x = SR.var('x')
- return { 'ogf': [((1-(55*x))/((1-(110*x))+x**2))] }
-
-
-
-def A114050():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(197*x)))/((1-(394*x))+x**2))] }
-
-
-
-def A114051():
- x = SR.var('x')
- return { 'ogf': [((1-(24*x))/((1-(48*x))+x**2))] }
-
-
-
-def A114052():
- x = SR.var('x')
- return { 'ogf': [((1-(26*x))/((1-(52*x))+x**2))] }
-
-
-
-def A114113():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+x**2)-(2*x**3))+x**4))/((1+x)*(1-x)**3))] }
-
-
-
-def A114119():
- x = SR.var('x')
- return { 'ogf': [(1-((x*(((-3)-(2*x))+(2*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A114121():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+((1-(2*x))*sqrt((1-(4*x)))))/(2*(1-(4*x))**(3/2))),
-((1+(1-(4*x))**(-(1/2)))**2/4)] }
-
-
-
-def A114138():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x+x**2+x**5+x**10+x**20+x**50+x**100+x**200)))] }
-
-
-
-def A114140():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x+x**2+x**5+x**10+x**20)))] }
-
-
-
-def A114182():
- x = SR.var('x')
- return { 'ogf': [((x**2*((16-(7*x))+x**2))/(((x**2-(7*x))+1)*(x-1)**2))] }
-
-
-
-def A114190():
- x = SR.var('x')
- return { 'ogf': [(4/(3+x+((1-x)*sqrt((1+(8*x))))))] }
-
-
-
-def A114191():
- x = SR.var('x')
- return { 'ogf': [(4/(3+sqrt((1+(8*x)))))] }
-
-
-
-def A114194():
- x = SR.var('x')
- return { 'ogf': [(4/((2+x)-((x-2)*sqrt((1+(8*x))))))] }
-
-
-
-def A114199():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(4*x))+(5*x**2))-(2*x**3)-x**4))] }
-
-
-
-def A114203():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(4*x))+(5*x**2))-(2*x**3)-(2*x**4)))] }
-
-
-
-def A114208():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+x**2+x+1))/((x-1)**3*(x+1)**3*(x**2+x+1))))] }
-
-
-
-def A114210():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**6+x**5+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1))/((x-1)**3*(x+1)**3*(x**2+x+1))))] }
-
-
-
-def A114211():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x**2))-(2*x**3))/(1-x)**4)] }
-
-
-
-def A114215():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*(x**3-x**2-x-1))/((x**2-x-1)*(x**2+1)*((x**2+x)-1))))] }
-
-
-
-def A114220():
- x = SR.var('x')
- return { 'ogf': [(((1-x-x**2)+(2*x**3))/((1-x)*(1-x**2)**2))] }
-
-
-
-def A114239():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(20*x**2)+(10*x**3)+x**4)/(1-x)**8)] }
-
-
-
-def A114240():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**3)+(10*x**2)+(8*x)+1)/(x-1)**7))] }
-
-
-
-def A114242():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(5*x)+x**2))/(1-x)**8)] }
-
-
-
-def A114243():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(3*x**2))/(1-x)**7)] }
-
-
-
-def A114244():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(5*x)+x**2))/(1-x)**7)] }
-
-
-
-def A114291():
- x = SR.var('x')
- return { 'ogf': [((((((((2*x**11)+(4*x**10))-(2*x**9)-(15*x**8)-(5*x**7))+(23*x**6)+(15*x**5))-(17*x**4)-(14*x**3))+(4*x**2)+(5*x)+1)*x**2)/(((-1)+x)**5*((((2*x**6)-(4*x**4))+(4*x**2))-1)*(x+1)**3))] }
-
-
-
-def A114358():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(320*x)+(543*x**2)+(60*x**3)))/(1-x)**2)] }
-
-
-
-def A114359():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(841*x)+(2142*x**2)+(441*x**3)+(7*x**4)))/(1-x)**2)] }
-
-
-
-def A114360():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2205*x)+(7976*x**2)+(2576*x**3)+(112*x**4)))/(1-x)**2)] }
-
-
-
-def A114361():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5776*x)+(28614*x**2)+(13167*x**3)+(1053*x**4)+(9*x**5)))/(1-x)**2)] }
-
-
-
-def A114444():
- x = SR.var('x')
- return { 'ogf': [((16*x*(3-x))/(1-x)**3)] }
-
-
-
-def A114464():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(3*x**2))-x**3-((1-x)*sqrt((((1-(4*x))+x**2)*(1+x**2)))))/(2*x))] }
-
-
-
-def A114465():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-sqrt(((1+x**2)*((1-(4*x))+x**2))))/(2*x*((1-x)+x**2)))] }
-
-
-
-def A114479():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x)-3))/(((8*x**2)-(8*x))+1)))] }
-
-
-
-def A114480():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((5*x)-2))/(((25*x**2)-(15*x))+1)))] }
-
-
-
-def A114481():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((36*x**2)-(30*x))+5))/(((3*x)-1)*(((36*x**2)-(24*x))+1))))] }
-
-
-
-def A114487():
- x = SR.var('x')
- return { 'ogf': [(2/(1+(2*x**2)+sqrt((1-(4*x)))))] }
-
-
-
-def A114495():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x))))**2/(1+sqrt((1-(4*x)))+(2*x))**2)] }
-
-
-
-def A114553():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1+(3*x))*(1-(3*x)-(16*x**2))))] }
-
-
-
-def A114568():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1))/(((2*x)+1)*(((4690*x**2)+(2*x))-1))))] }
-
-
-
-def A114569():
- x = SR.var('x')
- return { 'ogf': [((8-(5*x))/((1-(5*x))+(4*x**2)))] }
-
-
-
-def A114582():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)+(2*x**3)+sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A114587():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(3*x**2)-(2*x**3)-((1-x**2)*sqrt((1-(4*x)))))/(2*x**4*(2+x)**2*sqrt((1-(4*x)))))] }
-
-
-
-def A114589():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**2)-(2*x**3)-sqrt((1-(3*x**2)-(2*x))))/(2*x**4*(2+(2*x)+x**2)))] }
-
-
-
-def A114590():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x**2))-((1+(2*x))*sqrt((1-(4*x)))))/(2*x**2*(2+x)**2*sqrt((1-(4*x)))))] }
-
-
-
-def A114619():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x))/((x+1)*((x**2-(6*x))+1)))] }
-
-
-
-def A114620():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((x+1)*((x**2-(6*x))+1)))] }
-
-
-
-def A114693():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(3*x)-sqrt(((1-(6*x))+x**2))))/(x*(1+x+sqrt(((1-(6*x))+x**2))))**2)] }
-
-
-
-def A114695():
- x = SR.var('x')
- return { 'ogf': [(-((((2+(2*x)+(4*x**2)+(8*x**3)+(47*x**4))-(23*x**5)-x**6-(4*x**7))+x**8)/((x-1)*(1+x+x**2)*((x**6-(47*x**3))+1))))] }
-
-
-
-def A114710():
- x = SR.var('x')
- return { 'ogf': [(2/(1+(3*x)+sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A114713():
- x = SR.var('x')
- return { 'ogf': [((((((1-(2*x))+x**2)-(2*x**3))+x**4)-(((1-x)+x**2)*sqrt(((1-(2*x)-x**2-(2*x**3))+x**4))))/(2*x**4*sqrt(((1-(2*x)-x**2-(2*x**3))+x**4))))] }
-
-
-
-def A114723():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**2)))/(1-x-(3*x**2)-(3*x**3)-x**4)),
-((x*((2*x**2)-1))/((x**4+(3*x**3)+(3*x**2)+x)-1))] }
-
-
-
-def A114743():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(2+(3*x)+(5*x**2)))/((-1)+(2*x**3))))] }
-
-
-
-def A114749():
- x = SR.var('x')
- return { 'ogf': [((x*(((9*x**3)+(3*x**2))-1))/((x**2+x+1)*((x**3+(3*x**2)+(2*x))-1)))] }
-
-
-
-def A114752():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/(1-x**2)**2)] }
-
-
-
-def A114753():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2+x**3))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A114775():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**2+1)*((x**7-x**4)+1))/(((x**6-x**4)+1)*((x**6+x**4)-1))))] }
-
-
-
-def A114798():
- x = SR.var('x')
- return { 'ogf': [((((2*x**5)-(3*x**4))+(8*x**3)+(2*x)+3)/((x-1)**4*(x+1)**4))] }
-
-
-
-def A114803():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**5)-x**4-(4*x**2)-(3*x)-1)/((x-1)**4*(x+1)**4)))] }
-
-
-
-def A114849():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)-3))/(((x**2-(7*x))+1)*((x**2+(4*x))-1)))] }
-
-
-
-def A114851():
- x = SR.var('x')
- return { 'ogf': [((((1-x-x**2)+x**3)-sqrt((((1+x)-x**2-x**3)**2-(4*((x-(2*x**3))+x**4)))))/(2*(x**2-x**3)))] }
-
-
-
-def A114878():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x+2))/(((x**2-(7*x))+1)*((x**2+(11*x))-1))))] }
-
-
-
-def A114949():
- x = SR.var('x')
- return { 'ogf': [(-(((6-(11*x))+(7*x**2))/(x-1)**3))] }
-
-
-
-def A114952():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((((x**9-x**8)+(2*x**7))-x**6)+x**5)-(2*x**4))+x**2+1))/(((x**6-x**4)+x**2+1)*((x**6+x**4+x**2)-1))))] }
-
-
-
-def A114955():
- x = SR.var('x')
- return { 'ogf': [(((1-x**6)*(1-x**8))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A114962():
- x = SR.var('x')
- return { 'ogf': [((x*((14-(27*x))+(15*x**2)))/(1-x)**3)] }
-
-
-
-def A114963():
- x = SR.var('x')
- return { 'ogf': [((x*((22-(43*x))+(23*x**2)))/(1-x)**3)] }
-
-
-
-def A114984():
- x = SR.var('x')
- return { 'ogf': [((((43*x**2)-x)+200)/((x-1)**2*(x+1)))] }
-
-
-
-def A115006():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+3))/((1-x)**3*(1+x)))] }
-
-
-
-def A115008():
- x = SR.var('x')
- return { 'ogf': [(-(((1-x)+(2*x**2)+x**3)/((1+x**2)*((x**2+x)-1))))] }
-
-
-
-def A115046():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)**2*((x**4-(6*x**3))+1))/(x**2-1)**4)] }
-
-
-
-def A115054():
- x = SR.var('x')
- return { 'ogf': [((x**3+(6*x)+2)**2/(x**2+x+1)**2)] }
-
-
-
-def A115055():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(x+x**2)**3))] }
-
-
-
-def A115067():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4-x))/(1-x)**3)] }
-
-
-
-def A115098():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A115102():
- x = SR.var('x')
- return { 'ogf': [((2+(6*x))/((1+x)*(1-(2*x))))] }
-
-
-
-def A115108():
- x = SR.var('x')
- return { 'ogf': [(-(((((((9520*x**9)-(11504*x**8))+(2840*x**7))-(1040*x**6))+(248*x**5)+(36*x**4))-1)/(((2*x)-1)*(((4*x**2)+(2*x))-1))))] }
-
-
-
-def A115109():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((3100*x**8)-(3596*x**7))+(854*x**6))-(268*x**5)-(6*x**4))+(22*x**3))-(4*x**2))+(2*x))-1)/(((2*x)-1)*(((4*x**2)+(2*x))-1))))] }
-
-
-
-def A115113():
- x = SR.var('x')
- return { 'ogf': [((2*((8*x**2)-1))/((x+1)*((4*x)-1)))] }
-
-
-
-def A115125():
- x = SR.var('x')
- return { 'ogf': [((3-sqrt((1-(8*x))))/2)] }
-
-
-
-def A115129():
- x = SR.var('x')
- return { 'ogf': [((((14-(28*x))+(20*x**2))-(5*x**3))/(1-x)**6)] }
-
-
-
-def A115130():
- x = SR.var('x')
- return { 'ogf': [(((((42-(120*x))+(135*x**2))-(70*x**3))+(14*x**4))/(1-x)**7)] }
-
-
-
-def A115132():
- x = SR.var('x')
- return { 'ogf': [((((((132-(495*x))+(770*x**2))-(616*x**3))+(252*x**4))-(42*x**5))/(1-x)**8)] }
-
-
-
-def A115133():
- x = SR.var('x')
- return { 'ogf': [(((((((429-(2002*x))+(4004*x**2))-(4368*x**3))+(2730*x**4))-(924*x**5))+(132*x**6))/(1-x)**9)] }
-
-
-
-def A115135():
- x = SR.var('x')
- return { 'ogf': [((x*((108+(1299*x)+(444*x**2))-(92*x**3)-(433*x**4)-(92*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A115140():
- x = SR.var('x')
- return { 'ogf': [((1+sqrt((1-(4*x))))/2)] }
-
-
-
-def A115164():
- x = SR.var('x')
- return { 'ogf': [((((24*x**2)+(2*x))-3)/((x+1)*((4*x)-1)))] }
-
-
-
-def A115178():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x**2*(1+x)))))/(2*x**2*(1+x)))] }
-
-
-
-def A115205():
- x = SR.var('x')
- return { 'ogf': [(((((3*x**2)-(3*x))+1)*(((((((3*x**6)-(9*x**5))+(18*x**4))-(21*x**3))+(15*x**2))-(6*x))+1))/(x-1)**10)] }
-
-
-
-def A115217():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(2*x**2))*(1-x**3)))] }
-
-
-
-def A115219():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1-x))/(((1-(3*x))+(2*x**2))-(2*x**3)))] }
-
-
-
-def A115220():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1-(2*x)-(2*x**2)))/(((1-(4*x))+x**4)-(2*x**5)-(2*x**6)))] }
-
-
-
-def A115243():
- x = SR.var('x')
- return { 'ogf': [(((4*x**2)+(2*x))/(((4*x**3)-x**2-(4*x))+1))] }
-
-
-
-def A115256():
- x = SR.var('x')
- return { 'ogf': [(1/(sqrt((1-(4*x)))*sqrt((1-(4*x**2)))*(1-x**3)))] }
-
-
-
-def A115264():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)**2*(1-x**3)*(1-x**4)))] }
-
-
-
-def A115266():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)**2/((1-x**3)**4*(1-x**2)))] }
-
-
-
-def A115269():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3)**2/((1-x**4)**4*(1-x**2))),
-(-(1/((x**2+1)**2*(1+x)**3*(x-1)**5)))] }
-
-
-
-def A115270():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2+x**3)*(1+x**2+x**4+x**6))/((1-x**4)**2*(1-x**8)**2*(1-x**3)))] }
-
-
-
-def A115271():
- x = SR.var('x')
- return { 'ogf': [((1+x**4)/((1-x)**2*(1-x**4)**2))] }
-
-
-
-def A115273():
- x = SR.var('x')
- return { 'ogf': [((x**4*((2*x)+1))/((x-1)**2*(x**2+x+1)**2))] }
-
-
-
-def A115274():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**4)+(3*x**3)+(3*x**2)+(2*x)+1))/((x-1)**2*(x**2+x+1)**2))] }
-
-
-
-def A115283():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+(2*x**2)))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A115293():
- x = SR.var('x')
- return { 'ogf': [((1+x)**5/(1-x)**3)] }
-
-
-
-def A115294():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**2*(1+x**2)**3)/((1-x)**2*(1-x**3)))] }
-
-
-
-def A115315():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((x**8-(2*x**6))+x**5+(2*x**4))-x**3-x**2)+1))/((x-1)*(x+1)*((x**2+x)-1)*((((x**4-x**3)+x**2)-x)+1)*((((x**8-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A115335():
- x = SR.var('x')
- return { 'ogf': [((((4*x**4)+(2*x**3)+(10*x**2))-(2*x)-3)/((x+1)*((2*x)-1)))] }
-
-
-
-def A115339():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-x-x**2-(2*x**3)))/((-1)+x**2+x**4))] }
-
-
-
-def A115341():
- x = SR.var('x')
- return { 'ogf': [(2+((4*x*(1-x))/((1+x)*(1-(2*x)))))] }
-
-
-
-def A115360():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)-x**3-x**4))] }
-
-
-
-def A115375():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**4)/((1-x)*(1-x**2)**4*(1-x**3)))] }
-
-
-
-def A115376():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*(1-x**2)**4*(1-x**3)))] }
-
-
-
-def A115391():
- x = SR.var('x')
- return { 'ogf': [((x*(((((4*x**7)-(3*x**6))+(8*x**5)+(7*x**4)+(12*x**3))-(5*x**2))+(8*x)+1))/((x-1)**4*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A115400():
- x = SR.var('x')
- return { 'ogf': [((6*x**3*(1+(9*x)+(39*x**2)+(71*x**3)))/(1-x)**7)] }
-
-
-
-def A115412():
- x = SR.var('x')
- return { 'ogf': [((x-1)/(x**5-x**3-x**2-x-1))] }
-
-
-
-def A115413():
- x = SR.var('x')
- return { 'ogf': [((x-1)/(((1-x**2)+x**3+x**4)-x**5))] }
-
-
-
-def A115419():
- x = SR.var('x')
- return { 'ogf': [(-(((x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+8)*x)/(((-x**9)+x**8+x)-1)))] }
-
-
-
-def A115489():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((8*x)-1)*((2*x)-1)))] }
-
-
-
-def A115490():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(((16*x)-1)*((4*x)-1)))] }
-
-
-
-def A115491():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(((32*x)-1)*((2*x)-1)))] }
-
-
-
-def A115492():
- x = SR.var('x')
- return { 'ogf': [((7*x*(((256*x**2)-(108*x))+5))/(((2*x)-1)*((4*x)-1)*((16*x)-1)*((32*x)-1)))] }
-
-
-
-def A115500():
- x = SR.var('x')
- return { 'ogf': [((x*(((30-(560*x))+(2880*x**2))-(4096*x**3)))/((1-(2*x))*(1-(4*x))*(1-(8*x))*(1-(16*x))))] }
-
-
-
-def A115504():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((31-(1240*x))+(14880*x**2))-(63488*x**3))+(81920*x**4)))/(((4*x)-1)*((2*x)-1)*((8*x)-1)*((16*x)-1)*((32*x)-1))))] }
-
-
-
-def A115525():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**3-(2*x**4)-x**5)/((1+x+x**2)-x**4-x**5-x**6))] }
-
-
-
-def A115567():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2)*((1-(3*x))+(3*x**2)))/(1-x)**7)] }
-
-
-
-def A115598():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1))/((x-1)*((x**2-(6*x))+1))))] }
-
-
-
-def A115599():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(5*x))+2))/((x-1)*((x**2-(6*x))+1))))] }
-
-
-
-def A115635():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(3*x**2)-(4*x**3)-(5*x**4)-(4*x**5))/((1-x**3)*(1+x+x**2+x**3)))] }
-
-
-
-def A115851():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+x+x**2))/((1-x)*((2*x)-1)*(x+1)*(x**2+1)))] }
-
-
-
-def A115864():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(16*x))+(16*x**2))))] }
-
-
-
-def A115865():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(24*x))+(36*x**2))))] }
-
-
-
-def A115880():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**9-(2*x**6)-(3*x**5)-(6*x**4)-(4*x**3)-(6*x**2)-2))/((x-1)**3*(x+1)**3*(x**2+1)**3))] }
-
-
-
-def A115881():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**9+x**8+(2*x**7)+(4*x**6)+x**5+(6*x**4)+(2*x**3)+(4*x**2)+1))/((x-1)**3*(x+1)**3*(x**2+1)**3)))] }
-
-
-
-def A115902():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(8*x))*sqrt((1-(8*x)))))] }
-
-
-
-def A115903():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(12*x))*sqrt((1-(12*x)))))] }
-
-
-
-def A115953():
- x = SR.var('x')
- return { 'ogf': [((1-x**3-x**5)/((1-x**3)*(1+x+x**2+x**3)))] }
-
-
-
-def A115967():
- x = SR.var('x')
- return { 'ogf': [(1/((2*sqrt((1-(2*x)-(3*x**2))))-1))] }
-
-
-
-def A116082():
- x = SR.var('x')
- return { 'ogf': [((x*((((((1-(5*x))+(11*x**2))-(13*x**3))+(9*x**4))-(3*x**5))+x**6))/(1-x)**8)] }
-
-
-
-def A116138():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(1-(3*x))**3)] }
-
-
-
-def A116144():
- x = SR.var('x')
- return { 'ogf': [((8*x)/(1-(4*x))**3)] }
-
-
-
-def A116149():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3+(30*x**2)+(51*x)+8))/(x-1)**5))] }
-
-
-
-def A116156():
- x = SR.var('x')
- return { 'ogf': [((10*x)/(1-(5*x))**3)] }
-
-
-
-def A116157():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-x**2)*((1-x**2)+x**3)))] }
-
-
-
-def A116164():
- x = SR.var('x')
- return { 'ogf': [((12*x)/(1-(6*x))**3)] }
-
-
-
-def A116165():
- x = SR.var('x')
- return { 'ogf': [((14*x)/(1-(7*x))**3)] }
-
-
-
-def A116166():
- x = SR.var('x')
- return { 'ogf': [((16*x)/(1-(8*x))**3)] }
-
-
-
-def A116176():
- x = SR.var('x')
- return { 'ogf': [((18*x)/(1-(9*x))**3)] }
-
-
-
-def A116362():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((4*x**4)-(4*x**3)-(2*x**2))+1))/((x-1)*((2*x)-1)*((2*x**2)-1))))] }
-
-
-
-def A116383():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(4*x**2))/(2*(1-(5*x**2))*sqrt((1-(4*x**2)))))+((1+x)/(2*(1-(5*x**2)))))] }
-
-
-
-def A116404():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(2*x**3)-x**4))] }
-
-
-
-def A116415():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(5*x))+(3*x**2)))] }
-
-
-
-def A116454():
- x = SR.var('x')
- return { 'ogf': [(((x-2)*x*(x+1))/((x-1)**2*((2*x)-1)))] }
-
-
-
-def A116466():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(((2*(1+x**2))/(1-x**2))+(x**2/(1-(4*x**2))**(1/2))))/(2+x**2))] }
-
-
-
-def A116470():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+x+1)*(x**3+x+1))/((-1)+x**4+x**2)))] }
-
-
-
-def A116471():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((x**4-x**3-(2*x**2))+(3*x)+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A116476():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**8)+(7*x**7)+(15*x**6)+(33*x**5))-(605*x**4)-(1379*x**3)-(183*x**2)-(33*x)-13))/((x-1)*((x**8-(394*x**4))+1)))] }
-
-
-
-def A116521():
- x = SR.var('x')
- return { 'ogf': [(x**3/((((1-(5*x))+(8*x**2))-(6*x**3))+x**4))] }
-
-
-
-def A116530():
- x = SR.var('x')
- return { 'ogf': [((20*x)/(1-(3*x)))] }
-
-
-
-def A116556():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A116558():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+(5*x**2)+(2*x**3))-x**4-x**5-x**6))/((1-(2*x**2)-x**4)*((1+(2*x**2))-x**4)))] }
-
-
-
-def A116559():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+x+(2*x**2)+(2*x**3)+(5*x**4)+(5*x**5))-(3*x**6))+(2*x**7))-x**8-x**9))/(1-(6*x**6)-x**12))] }
-
-
-
-def A116560():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+x**4+x**5)-x**6)+x**8+x**9))/(1-(2*x**6)-x**12))] }
-
-
-
-def A116567():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((1296*x**9)+(1296*x**8)+(1296*x**7))-(36*x**6))+(228*x**5)+(228*x**4)+(40*x**3)+(2*x**2)+(2*x)+1))/(((46656*x**12)+(1476*x**6))-1)))] }
-
-
-
-def A116576():
- x = SR.var('x')
- return { 'ogf': [((x**4*((2*x**3)-x-2))/((x-1)**2*((x**3+x**2+x)-1)))] }
-
-
-
-def A116689():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)+(10*x**2)))/(1-x)**5)] }
-
-
-
-def A116690():
- x = SR.var('x')
- return { 'ogf': [((-(x*(((2*x**2)-(2*x))+1)*(((((2*x**4)-(4*x**3))+(6*x**2))-(4*x))+1)))/(x-1)**9)] }
-
-
-
-def A116697():
- x = SR.var('x')
- return { 'ogf': [(-((((1+(2*x))-x**2)+x**3)/((1+x**2)*(x**2-x-1))))] }
-
-
-
-def A116699():
- x = SR.var('x')
- return { 'ogf': [((x*((((2*x**3)-(5*x**2))+(3*x))-1))/(x-1)**5)] }
-
-
-
-def A116705():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((4*x**8)-(19*x**7))+(32*x**6))-(39*x**5))+(62*x**4))-(44*x**3))+(24*x**2))-(7*x))+1))/(1-x)**9)] }
-
-
-
-def A116707():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((2*x)-1)**2)/(((((4*x**4)-(16*x**3))+(16*x**2))-(7*x))+1)))] }
-
-
-
-def A116709():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((2*x**4)-(7*x**3))+(12*x**2))-(6*x))+1))/((((((2*x**5)-(10*x**4))+(25*x**3))-(22*x**2))+(8*x))-1)))] }
-
-
-
-def A116718():
- x = SR.var('x')
- return { 'ogf': [(1+(((x+1)*(((((2*x**4)+x**3)-(3*x**2))+(2*x))-1)*x)/((x-1)**2*((x**2+x)-1))))] }
-
-
-
-def A116732():
- x = SR.var('x')
- return { 'ogf': [(x**3/((x**4-x**3-x**2-x)+1))] }
-
-
-
-def A116813():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((6*x**13)+(8*x**12))-(23*x**11)-(49*x**10)-(15*x**9))+(56*x**8)+(54*x**7))-(26*x**6)-(22*x**5)-(3*x**4))+(3*x**3)+(6*x**2))-(4*x))+1))/(((x**2-1)+x)**2*((x**3+x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A116815():
- x = SR.var('x')
- return { 'ogf': [((x*(((((2*x**10)+(4*x**9)+(9*x**8)+(9*x**7)+(4*x**6))-(18*x**5)-(15*x**4)-(5*x**3)-x**2)+x)-1))/((x-1)*((x**3+x**2+x)-1)*((x**5+(3*x**4)+(2*x**3)+x**2+x)-1)))] }
-
-
-
-def A116836():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((2*x**8)-(7*x**7))+(7*x**6))-(8*x**5))+(8*x**4))-(12*x**3))+(11*x**2))-(5*x))+1)*x)/((((((((((2*x**9)-(7*x**8))+(7*x**7))-(10*x**6))+(16*x**5))-(27*x**4))+(29*x**3))-(19*x**2))+(7*x))-1)))] }
-
-
-
-def A116840():
- x = SR.var('x')
- return { 'ogf': [((((((((((x**8-(6*x**7))+(17*x**6))-(40*x**5))+(58*x**4))-(52*x**3))+(28*x**2))-(8*x))+1)*x)/(((2*x)-1)*((x**2-(3*x))+1)*(x-1)**5))] }
-
-
-
-def A116845():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(4*x**3))+(8*x**2))-(5*x))+1)*x)/(((x**2-(3*x))+1)**2*(x-1))))] }
-
-
-
-def A116849():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)**3)/((((-(6*x**3))+x**4+(8*x**2))-(5*x))+1)))] }
-
-
-
-def A116881():
- x = SR.var('x')
- return { 'ogf': [((((32*x**2)+(12*sqrt((1-(8*x)))*x))-(4*x))/((((-(32*x**3))+(sqrt((1-(8*x)))*(((8*x**2)+(7*x))-1)))-(36*x**2)-(3*x))+1))] }
-
-
-
-def A116914():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(5*x))-((1-x)*sqrt((1-(4*x))))))/(2*(2+x)**2*sqrt((1-(4*x)))))] }
-
-
-
-def A116940():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x**2))/((1+x)*(1-x)**3))] }
-
-
-
-def A116952():
- x = SR.var('x')
- return { 'ogf': [(((4*x)+1)/((x-1)*((3*x)-1)))] }
-
-
-
-def A116955():
- x = SR.var('x')
- return { 'ogf': [(-(((((9*x**4)-(30*x**3))+(20*x**2))-(6*x)-1)/(x-1)**4))] }
-
-
-
-def A116966():
- x = SR.var('x')
- return { 'ogf': [((((2*x**3)-x**2)+(2*x)+1)/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A116969():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3-(2*x**2)-(5*x))+4))/((x-1)**2*(x+1)*((2*x)-1))))] }
-
-
-
-def A116970():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(6*x)))/((1-(3*x))*(1-x)))] }
-
-
-
-def A116971():
- x = SR.var('x')
- return { 'ogf': [((2*(5-(2*x)-(2*x**2)))/((1-x)**2*(1-(4*x))))] }
-
-
-
-def A116972():
- x = SR.var('x')
- return { 'ogf': [(((1+(16*x))-(13*x**2))/(((1-(5*x))+(7*x**2))-(3*x**3)))] }
-
-
-
-def A116975():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3))/(1-x-x**4-x**5))] }
-
-
-
-def A116996():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**3)-x**2)+(2*x)+1))/((x-1)**3*(x+1)*(x**2+1))))] }
-
-
-
-def A117066():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x**2)+(6*x)+1))/(x-1)**5))] }
-
-
-
-def A117080():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-x**2)+x**3))/((1-x)*((x**3+(2*x))-1)))] }
-
-
-
-def A117081():
- x = SR.var('x')
- return { 'ogf': [(((2753-(6280*x))+(3599*x**2))/(1-x)**3)] }
-
-
-
-def A117088():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A117142():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-x-1))/((x-1)**3*(x+1)**2))] }
-
-
-
-def A117143():
- x = SR.var('x')
- return { 'ogf': [((x*((x**5-x**4-x**3)+x+1))/((x-1)**4*(x+1)*(x**2+x+1)**2))] }
-
-
-
-def A117186():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((sqrt((1-(4*x**2)))+(2*x))-1))/(2*x*(1-(2*x))*sqrt((1-(4*x**2))))),
-(((1+x)*((1+(2*x))-sqrt((1-(4*x**2)))))/(2*x*(1-(4*x**2))))] }
-
-
-
-def A117188():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x**2))+x**4)/(1-x**6))] }
-
-
-
-def A117199():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(4*x**2)+(3*x**3)+(3*x**4))/((1+x+x**2)-x**4-x**5-x**6))] }
-
-
-
-def A117202():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/((1-(3*x))+x**2)**2)] }
-
-
-
-def A117216():
- x = SR.var('x')
- return { 'ogf': [((1+(36*x)+(118*x**2)+(36*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A117230():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**9)+(9*x**8)+(8*x**7)+(7*x**6)+(6*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A117302():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((2*x)-1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A117353():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x))*((1-x-x**2)+(2*x**3))))] }
-
-
-
-def A117444():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A117445():
- x = SR.var('x')
- return { 'ogf': [((((((((((((-x)+x**2+(4*x**3))-x**4)+(4*x**5))-(4*x**6)-(4*x**7))+x**8+x**9)-(4*x**10)-(4*x**11))+(4*x**12))-x**13)+(4*x**14)+x**15)-x**16)/(1-x**17))] }
-
-
-
-def A117447():
- x = SR.var('x')
- return { 'ogf': [(1+x+(2*x**2)+((x**4*(2+(3*x)+(2*x**2)))/((1+x)-x**3-x**4)))] }
-
-
-
-def A117452():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2+x**5)/(1-x**5))] }
-
-
-
-def A117465():
- x = SR.var('x')
- return { 'ogf': [((3*x*((((((10*x**12)-(50*x**10))+(105*x**8))-(160*x**6)-(8*x**5)-(40*x**4))+(10*x**2))-3))/((x-1)**5*(x+1)**5))] }
-
-
-
-def A117472():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((13*x**3)+(13*x**2))-(53*x)-25))/((x**2-(2*x)-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A117473():
- x = SR.var('x')
- return { 'ogf': [((x*(((5*x**4)+(7*x**3))-(18*x**2)-(21*x)-7))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A117474():
- x = SR.var('x')
- return { 'ogf': [((x*(((3*x**4)+x**3)-(10*x**2)-(3*x)-5))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A117475():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((17*x**3)+(17*x**2))-(65*x)-37))/((x**2-(2*x)-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A117476():
- x = SR.var('x')
- return { 'ogf': [((x*(((8*x**4)+(7*x**3))-(28*x**2)-(21*x)-12))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A117485():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3))**2)] }
-
-
-
-def A117486():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)*(1-x**4))**2)] }
-
-
-
-def A117487():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)*(1-x**4)*(1-x**5))**2)] }
-
-
-
-def A117520():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**14+(2*x**13)+(3*x**12)+(4*x**11)+(5*x**10)+(6*x**9)+(7*x**8)+(25*x**7)+(7*x**6)+(6*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)**3*(x**6+x**5+x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A117547():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2-x-(52*x**2))+(9*x**3)))/((1-(6*x))+x**2))] }
-
-
-
-def A117560():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((2+(3*x))-(3*x**2))+x**3))/(1-x)**4)] }
-
-
-
-def A117561():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((3+(3*x))-(4*x**2)-x**3)+(3*x**4))-x**5))/(1-x)**4)] }
-
-
-
-def A117569():
- x = SR.var('x')
- return { 'ogf': [((1-x**3)/((1-x)*(1+x**2))),
-(1/(1-(x/(1+(x/(1-(x/(1+x))))))))] }
-
-
-
-def A117576():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1+x+(2*x**2)+(2*x**3)))] }
-
-
-
-def A117585():
- x = SR.var('x')
- return { 'ogf': [(-(((1-x)+x**2)/(((x**2+(2*x))-1)*(x-1)**2)))] }
-
-
-
-def A117591():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/((1-x-x**2)*(1-(2*x))))] }
-
-
-
-def A117614():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-(2*x)-1)/((x-1)*(x+1)*((4*x)-1))))] }
-
-
-
-def A117616():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((x-1)*(x+1)*((4*x)-1)))] }
-
-
-
-def A117617():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A117647():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)**2)/((x**4+(4*x**2))-1)))] }
-
-
-
-def A117651():
- x = SR.var('x')
- return { 'ogf': [(((((((((4*x**11)-(4*x**10)-(14*x**9))+(14*x**8)+(16*x**7))-(16*x**6)-(4*x**5))+(3*x**4))-(3*x**3))+(2*x**2)+x)-1)/((x-1)**5*(x+1)**4))] }
-
-
-
-def A117662():
- x = SR.var('x')
- return { 'ogf': [((x**3*(3-x))/(1-x)**5)] }
-
-
-
-def A117663():
- x = SR.var('x')
- return { 'ogf': [(-((x*((46*x**8)+(24*x**7)+(63*x**6)+(39*x**5)+(178*x**4)+(21*x**3)+(27*x**2)+(6*x)+1))/((x-1)**3*(x+1)**2*(x**2+1)**2)))] }
-
-
-
-def A117676():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(((((((x**12+(2*x**11)+(3*x**10)+(24*x**9))-(11*x**8))+(26*x**7))-(9*x**6))+(26*x**5))-(11*x**4))+(24*x**3)+(3*x**2)+(2*x)+1))/((x-1)**3*(x**6+x**5+x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A117691():
- x = SR.var('x')
- return { 'ogf': [(-(((x**7+x**6+x**5)-(2*x**3)-(3*x**2)-(3*x)-4)/((x-1)**2*(x+1)**2*(x**2+1)**2)))] }
-
-
-
-def A117717():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(3*x)+x**3))/(1-x)**5)] }
-
-
-
-def A117719():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2-x**3)/(((x**2+(2*x))-1)*(x**2-(2*x)-1)))] }
-
-
-
-def A117761():
- x = SR.var('x')
- return { 'ogf': [((x+x**3+x**5)/(1-x-x**3-x**5-x**7))] }
-
-
-
-def A117792():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x**4))/((((-1)+x+x**2)-x**4)+x**6)))] }
-
-
-
-def A117793():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+(30*x)+(25*x**2)+(15*x**3)))/(1-x)**3/(1+x)**2)] }
-
-
-
-def A117794():
- x = SR.var('x')
- return { 'ogf': [((6*x**2*(1+(10*x)+(7*x**2)+(6*x**3)))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A117855():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x+1))/((3*x**2)-1)))] }
-
-
-
-def A117856():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(x+1))/(((2*x)-1)*((2*x)+1))))] }
-
-
-
-def A117857():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(x+1))/((5*x**2)-1)))] }
-
-
-
-def A117858():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*(x+1))/((6*x**2)-1)))] }
-
-
-
-def A117859():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+x))/(1-(7*x**2)))] }
-
-
-
-def A117860():
- x = SR.var('x')
- return { 'ogf': [((7*x*(1+x))/(1-(8*x**2)))] }
-
-
-
-def A117861():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+x))/(1-(9*x**2)))] }
-
-
-
-def A117862():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x+1))/((x-1)*((3*x**2)-1)))] }
-
-
-
-def A117863():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x+1))/((x-1)*((2*x)-1)*((2*x)+1)))] }
-
-
-
-def A117864():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x+1))/((x-1)*((5*x**2)-1)))] }
-
-
-
-def A117865():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x+1))/((x-1)*((6*x**2)-1)))] }
-
-
-
-def A117866():
- x = SR.var('x')
- return { 'ogf': [((6*x*(x+1))/((x-1)*((7*x**2)-1)))] }
-
-
-
-def A117867():
- x = SR.var('x')
- return { 'ogf': [((7*x*(x+1))/((x-1)*((8*x**2)-1)))] }
-
-
-
-def A117868():
- x = SR.var('x')
- return { 'ogf': [((8*x*(x+1))/((x-1)*((3*x)-1)*((3*x)+1)))] }
-
-
-
-def A117903():
- x = SR.var('x')
- return { 'ogf': [(((((1+x**2)-(5*x**3))+(3*x**4))-(3*x**5)-x**6-(2*x**7))/((1-(4*x**3))*(1+x+x**2+x**3+x**4+x**5)))] }
-
-
-
-def A117907():
- x = SR.var('x')
- return { 'ogf': [(x+((1-x)**2/(1-x**6)))] }
-
-
-
-def A117909():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+x**3)/(1-x**3)**2)] }
-
-
-
-def A117950():
- x = SR.var('x')
- return { 'ogf': [(((3-(5*x))+(4*x**2))/(1-x)**3)] }
-
-
-
-def A117951():
- x = SR.var('x')
- return { 'ogf': [(((5-(9*x))+(6*x**2))/(1-x)**3)] }
-
-
-
-def A118004():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(((9*x)-1)*((4*x)-1)))] }
-
-
-
-def A118005():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((5*x)+1)*((9*x)-1))))] }
-
-
-
-def A118015():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x))/((1+x+x**2+x**3+x**4)*(1-x)**3))] }
-
-
-
-def A118057():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(18*x))-(3*x**2)))/(1-x)**3)] }
-
-
-
-def A118058():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(117*x))-(20*x**2)))/(1-x)**3)] }
-
-
-
-def A118059():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(694*x))-(119*x**2)))/(1-x)**3)] }
-
-
-
-def A118060():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4057*x))-(696*x**2)))/(1-x)**3)] }
-
-
-
-def A118061():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(23658*x))-(4059*x**2)))/(1-x)**3)] }
-
-
-
-def A118239():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x)+(9*x**2))-x**3))/(1-x)**3)] }
-
-
-
-def A118264():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/(1-(3*x)))] }
-
-
-
-def A118265():
- x = SR.var('x')
- return { 'ogf': [((1-x)**4/(1-(4*x)))] }
-
-
-
-def A118277():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(5*x)+x**2))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A118286():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x**2)))/((x**2+1)*(x-1)**2))] }
-
-
-
-def A118312():
- x = SR.var('x')
- return { 'ogf': [((((1+(5*x)+(12*x**2))-(8*x**4))+(4*x**5))/(1-x)**3)] }
-
-
-
-def A118337():
- x = SR.var('x')
- return { 'ogf': [((x*((12+(21*x)+(36*x**2))-(8*x**3)-(7*x**4)-(8*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A118375():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**2)*((1-x)+x**2))/((1-x)**4*(1+x**2)))] }
-
-
-
-def A118376():
- x = SR.var('x')
- return { 'ogf': [(((-1)+((1-(8*x))+(8*x**2))**(1/2))/((-4)+(4*x)))] }
-
-
-
-def A118402():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+(2*x**2))*(1+x**2))/(1+x)**2/(1-x))] }
-
-
-
-def A118408():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/(1+x**2)/(1+(2*x)+(2*x**2))/(1-x))] }
-
-
-
-def A118409():
- x = SR.var('x')
- return { 'ogf': [(((((1+(2*x**2)+(2*x**3))-(3*x**4))+(2*x**5))-(2*x**6))/(1+x**4)/(1-(4*x**4))/(1-x))] }
-
-
-
-def A118414():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(3*x))+(6*x**2)))/(((2*x)-1)**2*(x-1)**2)))] }
-
-
-
-def A118425():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-(2*x))+x**3)**2)] }
-
-
-
-def A118430():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1-(2*x))+x**2)-x**3)**2)] }
-
-
-
-def A118436():
- x = SR.var('x')
- return { 'ogf': [((((1+x+(2*x**2))-(6*x**3))+(29*x**4)+(5*x**5))/(1-x**2)/(1+(6*x**2)+(25*x**4)))] }
-
-
-
-def A118437():
- x = SR.var('x')
- return { 'ogf': [(((((1+(8*x**3))-(32*x**5))+(384*x**6))-(256*x**7))/(1-(2*x))/(1+(4*x**2))/(1+(64*x**4)))] }
-
-
-
-def A118439():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(10*x**2)+(6*x**3)+(21*x**4))-(5*x**5))/(1-x**2)/(1+(6*x**2)+(25*x**4)))] }
-
-
-
-def A118440():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(2*x))+(8*x**2))-(16*x**3))+(128*x**4))-(96*x**5))+(128*x**6))-(256*x**7))/(1-(2*x))/(1+(4*x**2))/(1+(64*x**4)))] }
-
-
-
-def A118442():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(4*x)-(4*x**2)))/(1+(4*x**2))**2)] }
-
-
-
-def A118443():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(((((1-(3*x))+(18*x**2))-(78*x**3))+(45*x**4))-(175*x**5)))/(1+(6*x**2)+(25*x**4))**2)] }
-
-
-
-def A118444():
- x = SR.var('x')
- return { 'ogf': [((((((((1-x)+(13*x**2))-(21*x**3))+(67*x**4))-(115*x**5))+(175*x**6))-(375*x**7))/(1+(6*x**2)+(25*x**4))**2)] }
-
-
-
-def A118465():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x+3)*((3*x)+1))/((-1)+x)**4)] }
-
-
-
-def A118485():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((11321*x**4)-(218*x**3))+(326*x**2))-(168*x))+43))/(x-1)**5))] }
-
-
-
-def A118554():
- x = SR.var('x')
- return { 'ogf': [((x*((11+(24*x)+(21*x**2)+(48*x**3)+(43*x**4))-(9*x**5)-(12*x**6)-(7*x**7)-(12*x**8)-(9*x**9)))/((1-x)*((1-(6*x**5))+x**10)))] }
-
-
-
-def A118558():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1984*x**4)-(2120*x**3))+(510*x**2))-(61*x))+2))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1)))] }
-
-
-
-def A118576():
- x = SR.var('x')
- return { 'ogf': [((x*((2145+(1628*x)+(2695*x**2)+(2072*x**3)+(3465*x**4)+(7203*x**5)+(5313*x**6)+(4144*x**7)+(7007*x**8)+(5476*x**9)+(9273*x**10))-(1903*x**11)-(1184*x**12)-(1617*x**13)-(1036*x**14)-(1463*x**15)-(2401*x**16)-(1463*x**17)-(1036*x**18)-(1617*x**19)-(1184*x**20)-(1903*x**21)))/((1-x)*((1-(6*x**11))+x**22)))] }
-
-
-
-def A118587():
- x = SR.var('x')
- return { 'ogf': [(((17-(25*x)-(23*x**2))+(133*x**3))/(1-x)**4)] }
-
-
-
-def A118611():
- x = SR.var('x')
- return { 'ogf': [((x*((77+(55*x)+(113*x**2)+(147*x**3)+(193*x**4)+(143*x**5)+(301*x**6))-(63*x**7)-(33*x**8)-(51*x**9)-(49*x**10)-(51*x**11)-(33*x**12)-(63*x**13)))/((1-x)*((1-(6*x**7))+x**14)))] }
-
-
-
-def A118630():
- x = SR.var('x')
- return { 'ogf': [((x*((539+(385*x)+(296*x**2)+(495*x**3)+(1029*x**4)+(759*x**5)+(592*x**6)+(1001*x**7)+(2107*x**8))-(441*x**9)-(231*x**10)-(148*x**11)-(209*x**12)-(343*x**13)-(209*x**14)-(148*x**15)-(231*x**16)-(441*x**17)))/((1-x)*((1-(6*x**9))+x**18)))] }
-
-
-
-def A118645():
- x = SR.var('x')
- return { 'ogf': [((x**3+x**2)/(((((2*x**4)-x**3)+(2*x**2))-(3*x))+1))] }
-
-
-
-def A118646():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((-1)-(2*x))+x**2+x**3))/(((2*x)-1)*((x**6-x**4-x**2-x)+1)))] }
-
-
-
-def A118647():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5+x**4)-x**2-(2*x)-2))/((x**6-x**4-x**2-x)+1)))] }
-
-
-
-def A118648():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-11)+(8*x))-x**2-(2*x**3))+(8*x**4)))/(((2*x)-1)*((x**4+x)-1))))] }
-
-
-
-def A118649():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-(2*x)-(2*x**2))+(2*x**3)))] }
-
-
-
-def A118658():
- x = SR.var('x')
- return { 'ogf': [((2-(2*x))/(1-x-x**2))] }
-
-
-
-def A118674():
- x = SR.var('x')
- return { 'ogf': [((x*((9+(51*x)+(33*x**2))-(7*x**3)-(17*x**4)-(7*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A118675():
- x = SR.var('x')
- return { 'ogf': [((x*((16+(69*x)+(56*x**2))-(12*x**3)-(23*x**4)-(12*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A118676():
- x = SR.var('x')
- return { 'ogf': [((x*((20+(141*x)+(76*x**2))-(16*x**3)-(47*x**4)-(16*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A118719():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(7*x)+(53*x**2)+(40*x**3)+(53*x**4)+(7*x**5)+x**6))/((1+x)**3*(1-x)**4))] }
-
-
-
-def A118822():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**2+x+2))/(1+x**4)))] }
-
-
-
-def A118825():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((x**2-x)+2))/(1+x**4)))] }
-
-
-
-def A118828():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**3)/(1+x**4))] }
-
-
-
-def A118831():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**3))/(1+x**4)))] }
-
-
-
-def A118862():
- x = SR.var('x')
- return { 'ogf': [(-((x*((90*x**7)+(108*x**6)+(49*x**5)+(43*x**4)+(82*x**3)+(76*x**2)+(16*x)+1))/((x-1)*(x+1)*((x**2-x)+1)*(x**2+x+1))))] }
-
-
-
-def A118870():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(2*x))+x**2)-(2*x**3))+x**4))] }
-
-
-
-def A118871():
- x = SR.var('x')
- return { 'ogf': [(x**4/((((1-(2*x))+x**2)-(2*x**3))+x**4)**2)] }
-
-
-
-def A118885():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-(2*x))+x**4)**2)] }
-
-
-
-def A118891():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**8+x**7)-x**5)+(2*x**4))-x)+1)/(((((x**9-x**7-x**6)+(4*x**5))-(2*x**4)-(2*x**2))+(3*x))-1)))] }
-
-
-
-def A118892():
- x = SR.var('x')
- return { 'ogf': [(x**4/(((1-(2*x))+x**3)-x**4)**2)] }
-
-
-
-def A118898():
- x = SR.var('x')
- return { 'ogf': [(x**4/(1-x-x**2-x**3-x**4)**2)] }
-
-
-
-def A119012():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(3*x)-((1-x)*sqrt((1-(4*x))))))/((1+(2*x)+sqrt((1-(4*x))))**2*sqrt((1-(4*x)))))] }
-
-
-
-def A119016():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+(2*x**3))/(1-(2*x**2)-x**4))] }
-
-
-
-def A119259():
- x = SR.var('x')
- return { 'ogf': [((((4*x**2)+(3*sqrt((1-(8*x)))*x))-(5*x))/(((sqrt((1-(8*x)))*(((2*x**2)+x)-1))-(8*x**2)-(7*x))+1))] }
-
-
-
-def A119306():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((((1-x)+(3*x**2))-(3*x**3))+x**4))] }
-
-
-
-def A119309():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((1-(24*x))))] }
-
-
-
-def A119358():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt((1-(4*x))))+(1/sqrt((1+(4*x**2)))))/2)] }
-
-
-
-def A119407():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**2*(1-x-x**2-x**3-x**4)))] }
-
-
-
-def A119412():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-6)+(5*x)))/(x-1)**3)] }
-
-
-
-def A119515():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+(2*x**2)+(3*x))-1))/(x+1)**5)] }
-
-
-
-def A119516():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**3)+(7*x**2)+(9*x)+1))/((5*x**4)+(10*x**2)+1))] }
-
-
-
-def A119583():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((2*x**10)+(5*x**8)+(3*x**7)+x**6)-(2*x**5)-(2*x**4)-(2*x**3))+x**2+x+1))/((((x**12-(2*x**9))+(2*x**6))-(2*x**3))+1))] }
-
-
-
-def A119610():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*((2*x)-1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A119617():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(16*x**2)+(6*x**3)+x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A119633():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(105*x))-(513*x**2)-(729*x**3)))/((1+(9*x))*(1-(3*x))*(1-(27*x))*(1+x)))] }
-
-
-
-def A119635():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(2*x)+(4*x**2)))/(1-(2*x))**4)] }
-
-
-
-def A119749():
- x = SR.var('x')
- return { 'ogf': [((x+x**3)/((x**4-x**3-(2*x**2)-x)+1))] }
-
-
-
-def A119826():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(2*x)-(2*x**2)-(2*x**3)))] }
-
-
-
-def A119827():
- x = SR.var('x')
- return { 'ogf': [(x**3/(1-(2*x)-(2*x**2)-(2*x**3))**2)] }
-
-
-
-def A119886():
- x = SR.var('x')
- return { 'ogf': [(-(((576*x**4)-(5050*x**3)-(2396*x**2)-(59*x)-1)/(((2*x)-1)*((2*x)+1)*((4*x)-1)*((4*x)+1))))] }
-
-
-
-def A119915():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/(1-(2*x)-x**2)**2)] }
-
-
-
-def A119916():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*(1-(3*x))**2))] }
-
-
-
-def A119967():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x))/((1-(2*x)-x**2)+sqrt((((1-(4*x))+(6*x**2))-(4*x**3)-(3*x**4)))))] }
-
-
-
-def A119975():
- x = SR.var('x')
- return { 'ogf': [((3/2)*(((1+(3*x))/(6*x*sqrt((1-(2*x)-(7*x**2)))))-(1/(6*x))))] }
-
-
-
-def A119976():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))/(4*x*sqrt((1-(4*x)-(4*x**2)))))-(1/(4*x)))] }
-
-
-
-def A119996():
- x = SR.var('x')
- return { 'ogf': [((((x-2)*x)-1)/(((x**4-(3*x**3))+(3*x))-1))] }
-
-
-
-def A119997():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3+(2*x))-1))/((x-1)*((x**2-(3*x))+1)*(x**2-x-1))))] }
-
-
-
-def A120054():
- x = SR.var('x')
- return { 'ogf': [(256/(1-x)**5)] }
-
-
-
-def A120071():
- x = SR.var('x')
- return { 'ogf': [((x*(21-(19*x)))/(1-x)**3)] }
-
-
-
-def A120096():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(18*x))-(27*x**2)))/((1-x)*(1-(9*x))*(1+(3*x))))] }
-
-
-
-def A120118():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**2)*((x**7+x**5+x**4)-x**3-x**2-2))/((1-x-x**3-(2*x**5))+x**8+x**10)))] }
-
-
-
-def A120262():
- x = SR.var('x')
- return { 'ogf': [(-((((((6*x**5)+x**4)-(4*x**3))+(3*x))-1)/(((x**3-(3*x))+1)*(((4*x**3)-(2*x))+1))))] }
-
-
-
-def A120297():
- x = SR.var('x')
- return { 'ogf': [(((1-x**3)+(2*x**2))/((x-1)*((x**2+x)-1)*((x**2-(3*x))+1)))] }
-
-
-
-def A120325():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**2))/((1+x)*(1-x)*(1+x+x**2)*((1-x)+x**2)))] }
-
-
-
-def A120354():
- x = SR.var('x')
- return { 'ogf': [(11/(1-(3*x)))] }
-
-
-
-def A120413():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1+(2*x))-x**2))/((1-x)**3*(1+x)))] }
-
-
-
-def A120464():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((1-(5*x)-x**2)+(2*x**3)))] }
-
-
-
-def A120469():
- x = SR.var('x')
- return { 'ogf': [(-(((((((20*x**12)+(184*x**11)+(121*x**10))-(915*x**9)-(1524*x**8)-(132*x**7))+(1068*x**6)+(581*x**5))-(71*x**4)-(112*x**3)-(14*x**2))+(5*x)+1)/(((3*x)+1)*(((((((16*x**12)+(140*x**11)+(2*x**10))-(968*x**9)-(830*x**8))+(946*x**7)+(982*x**6))-(239*x**5)-(351*x**4)-(5*x**3))+(39*x**2)+(3*x))-1))))] }
-
-
-
-def A120470():
- x = SR.var('x')
- return { 'ogf': [(-((x*(7+(20*x)))/(((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A120471():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(1-(2*x)-(3*x**2)))] }
-
-
-
-def A120478():
- x = SR.var('x')
- return { 'ogf': [((((((-6)+(9*x))-(11*x**2))+(4*x**3))-(2*x**4))/((-1)+x)**5)] }
-
-
-
-def A120537():
- x = SR.var('x')
- return { 'ogf': [((((1+x**3)-(4*x**2))+(6*x))/((x-1)*((x**2+x)-1)*((x**2-(3*x))+1)))] }
-
-
-
-def A120580():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(2*x))+(4*x**2)))] }
-
-
-
-def A120582():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*((2*x)+1)**2)/(((16*x**4)-(4*x**2))+1)))] }
-
-
-
-def A120588():
- x = SR.var('x')
- return { 'ogf': [((3-sqrt((1-(4*x))))/2)] }
-
-
-
-def A120617():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1+(4*x**2)))] }
-
-
-
-def A120634():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3+x**2+x)-7))/((x-1)**2*(x+1)*(x**2+1))))] }
-
-
-
-def A120655():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((60*x**2)+(8*x)+1))/(((2*x)-1)*((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A120656():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x-2)*((3*x)+1))/((x-1)*((2*x)+1)*((3*x)-1))))] }
-
-
-
-def A120657():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((128*x**4)+(294*x**3))-(257*x**2)-(59*x)-6))/((x-1)*(x+1)*((2*x)-1)*((3*x)+1)*((4*x)-1)))] }
-
-
-
-def A120658():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((70*x**3)+(13*x**2))-(30*x)-6))/((x-1)*((2*x)+1)*(((10*x**3)-(3*x**2)-(4*x))+1)))] }
-
-
-
-def A120662():
- x = SR.var('x')
- return { 'ogf': [(-((x*((189*x**2)-(101*x)-12))/(((2*x)+1)*((3*x)-1)*((5*x)-1))))] }
-
-
-
-def A120663():
- x = SR.var('x')
- return { 'ogf': [((x*(((129444*x**4)-(124633*x**3))+(38216*x**2)+(2476*x)+67))/((x-1)*(x+1)*((2*x)-1)*((3*x)+1)*((4*x)-1)*((6*x)-1)))] }
-
-
-
-def A120664():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1-(6*x))+(12*x**2)))/(((1-(8*x))+(19*x**2))-(12*x**3)))] }
-
-
-
-def A120689():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(((8*x)-1)*((2*x)-1)))] }
-
-
-
-def A120691():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((2+x+(2*x**2))-(3*x**3)-x**4)+x**6))/((1-(2*x**3))+x**6))] }
-
-
-
-def A120694():
- x = SR.var('x')
- return { 'ogf': [((1-(25*x))/(((49*x**2)-(50*x))+1))] }
-
-
-
-def A120711():
- x = SR.var('x')
- return { 'ogf': [((2*x*((7+(16*x))-(2*x**2)-(14*x**3)))/((1-x)*(1+x)*(1+(2*x))*(1-(2*x)-(6*x**2))))] }
-
-
-
-def A120715():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((986*x**8)+(4444*x**7)+(3783*x**6)+(1442*x**5)+(6475*x**4)+(3286*x**3))-(1539*x**2)-(784*x)-27))/(((x**2+x)-1)*(x**2+(3*x)+1)*((x**3-(3*x**2)-(5*x))+1)*(((17*x**3)+(11*x**2))-x-1))))] }
-
-
-
-def A120717():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((378*x**3)+(287*x**2))-(134*x)-67))/(((2*x)+1)*((3*x)-1)*(((10*x**2)+(5*x))-1))))] }
-
-
-
-def A120719():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((60*x**3)-(315*x**2)-(727*x))+305))/((x-1)*((x**2-(7*x))+1)*(x**2+(3*x)+1))))] }
-
-
-
-def A120723():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x))*(1+(6*x)+(16*x**2)))/((1-x)*(1+(2*x))*(1-(3*x)-(2*x**2))))] }
-
-
-
-def A120727():
- x = SR.var('x')
- return { 'ogf': [(((110*x)+(101*x**2))/(1-x-x**2))] }
-
-
-
-def A120740():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+x+(4*x**3)))/((1-x)**2*(1+x)))] }
-
-
-
-def A120743():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/(((10*x**2)-(2*x))+1))] }
-
-
-
-def A120747():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x)-x**2))/(((1-(3*x)-(3*x**2))+(4*x**3)+x**4)-x**5))] }
-
-
-
-def A120756():
- x = SR.var('x')
- return { 'ogf': [((x*((189*x**3)-(366*x**2)-(82*x)-1))/(((3*x)+1)*((9*x)+1)*((21*x)-1)))] }
-
-
-
-def A120758():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1-(3*x)-(7*x**2))+x**3))] }
-
-
-
-def A120775():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)))/((1+x)*((x**2+(4*x))-1))))] }
-
-
-
-def A120845():
- x = SR.var('x')
- return { 'ogf': [(((2-(4*x)-(13*x**2))+(25*x**3))/((1-(2*x))*(1-(3*x))*(1-x)**2))] }
-
-
-
-def A120846():
- x = SR.var('x')
- return { 'ogf': [((((x**3+(7*x**2))-(8*x))+2)/((x-1)**2*(((6*x**2)-(5*x))+1)))] }
-
-
-
-def A120848():
- x = SR.var('x')
- return { 'ogf': [((((2-(10*x))+(17*x**2))-(11*x**3))/((1-(2*x))*(1-(3*x))*(1-x)**2))] }
-
-
-
-def A120849():
- x = SR.var('x')
- return { 'ogf': [((x*((6-(27*x))+(31*x**2)))/((1-(2*x))*(1-(3*x))*(1-x)**2))] }
-
-
-
-def A120908():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/(1-(3*x))**2)] }
-
-
-
-def A120925():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/(((1-(3*x))+(2*x**2))-(2*x**3)))] }
-
-
-
-def A120926():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/(1-(3*x))**2)] }
-
-
-
-def A120948():
- x = SR.var('x')
- return { 'ogf': [((2*((1-(2*x)-(23*x**2))+(56*x**3)))/((1-(5*x))*(1-(3*x))*(1-x)**2))] }
-
-
-
-def A120949():
- x = SR.var('x')
- return { 'ogf': [((2*((1-(5*x))+x**2+(11*x**3)))/((1-(5*x))*(1-(3*x))*(1-x)**2))] }
-
-
-
-def A120950():
- x = SR.var('x')
- return { 'ogf': [((2*(((1-(7*x))+(17*x**2))-(19*x**3)))/((1-(5*x))*(1-(3*x))*(1-x)**2))] }
-
-
-
-def A120969():
- x = SR.var('x')
- return { 'ogf': [((2*x*((5-(34*x))+(61*x**2)))/((1-x)**2*(1-(5*x))*(1-(3*x))))] }
-
-
-
-def A120978():
- x = SR.var('x')
- return { 'ogf': [((2*x*((2-(10*x))+(16*x**2)))/((1-x)**2*(1-(5*x))*(1-(3*x))))] }
-
-
-
-def A120989():
- x = SR.var('x')
- return { 'ogf': [((2*((1+(2*x))-sqrt((1-(4*x)))))/((1-(2*x))+sqrt((1-(4*x))))**2)] }
-
-
-
-def A120990():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(3-(7*x)))/((1-x)**2*(1-(5*x))*(1-(3*x))))] }
-
-
-
-def A121101():
- x = SR.var('x')
- return { 'ogf': [((x*((((10*x**4)-(21*x**3))+(3*x**2)+(5*x))-1))/((x-1)*((5*x)-1)*((5*x**2)-1)))] }
-
-
-
-def A121123():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((9*x**3)-(12*x**2)-(3*x))+1))/(((6*x)-1)*((6*x**2)-1)))] }
-
-
-
-def A121133():
- x = SR.var('x')
- return { 'ogf': [((x*(((((2*x**6)+(2*x**5))-(5*x**3))+(3*x))-1))/(((2*x)-1)**2*((2*x**2)-1)))] }
-
-
-
-def A121134():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((8*x**9)+(4*x**8))-(18*x**7)-(10*x**6))+(20*x**5)+(8*x**4))-(13*x**3)-x**2)+(4*x))-1))/(((2*x)-1)**3*((2*x**2)-1)**2))] }
-
-
-
-def A121135():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((((16*x**10)-(40*x**8))+(8*x**7)+(30*x**6))-(18*x**4)-(2*x**3))+(12*x**2))-(6*x))+1))/(((2*x)-1)**4*((2*x**2)-1)**2))] }
-
-
-
-def A121136():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((((((64*x**13)-(32*x**12)-(192*x**11))+(128*x**10)+(212*x**9))-(172*x**8)-(114*x**7))+(110*x**6)+(41*x**5))-(52*x**4)-(3*x**3))+(17*x**2))-(7*x))+1))/(((2*x)-1)**5*((2*x**2)-1)**3))] }
-
-
-
-def A121138():
- x = SR.var('x')
- return { 'ogf': [(((-(3/128))+(x**3/4)+(x**2/2)+((49*x)/64))-((((296*x**3)-(140*x**2))+(6*x)+3)/(128*((2*x)-1)*((2*x)+1)*((4*x)-1)**2)))] }
-
-
-
-def A121199():
- x = SR.var('x')
- return { 'ogf': [((2*((1-(2*x)-(59*x**2))+(204*x**3)))/((1-x)**2*(1-(7*x))*(1-(5*x))))] }
-
-
-
-def A121200():
- x = SR.var('x')
- return { 'ogf': [((2*((1-(7*x))+x**2+(29*x**3)))/((1-x)**2*(1-(5*x))*(1-(7*x))))] }
-
-
-
-def A121201():
- x = SR.var('x')
- return { 'ogf': [((2*(((1-(9*x))+(25*x**2))-(41*x**3)))/((1-x)**2*(1-(5*x))*(1-(7*x))))] }
-
-
-
-def A121202():
- x = SR.var('x')
- return { 'ogf': [((2*(((7*x)-(74*x**2))+(211*x**3)))/((1-x)**2*(1-(5*x))*(1-(7*x))))] }
-
-
-
-def A121203():
- x = SR.var('x')
- return { 'ogf': [((4*x*((1-(7*x))+(18*x**2)))/((1-x)**2*(1-(5*x))*(1-(7*x))))] }
-
-
-
-def A121204():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(5-(17*x)))/((1-x)**2*(1-(5*x))*(1-(7*x))))] }
-
-
-
-def A121213():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((5*x)-1)*((7*x)-1)))] }
-
-
-
-def A121230():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((13-(8*x))+(4*x**2)+(2*x**3))-(2*x**4)))/((((1-(2*x))+x**2)-x**3)*((1+x)-x**3)))] }
-
-
-
-def A121254():
- x = SR.var('x')
- return { 'ogf': [((4*x*((1-(2*x))+(2*x**2)))/((x**2-(3*x))+1)**2)] }
-
-
-
-def A121255():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*((-2)+(3*x)))/((x**2-(3*x))+1)**2))] }
-
-
-
-def A121257():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((-1)+x))/((x**2-(3*x))+1)**2))] }
-
-
-
-def A121262():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**4))] }
-
-
-
-def A121302():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*((1-(3*x))+(2*x**2)))/(((1-(3*x))+x**2)*((1-(2*x)-x**2)+x**3)))] }
-
-
-
-def A121318():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x+1)*((2-(2*x))+x**2))/(1-x)**4)] }
-
-
-
-def A121320():
- x = SR.var('x')
- return { 'ogf': [((x**2/(1-x-x**2))*(1/2)*(1+(1/sqrt((1-(4*x))))))] }
-
-
-
-def A121364():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**2-x-1))/(((x**2+x)-1)*((x**4+x**2)-1))))] }
-
-
-
-def A121453():
- x = SR.var('x')
- return { 'ogf': [((3*x*(3+(2*x)+x**2+(4*x**3)))/((((1-(2*x))+(2*x**2))-(2*x**3))+x**4))] }
-
-
-
-def A121470():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(2*x**2)+x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A121471():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+(5*x**2)+(2*x**3)))/((1+x)*(x-1)**3)))] }
-
-
-
-def A121482():
- x = SR.var('x')
- return { 'ogf': [(((1-x-x**2)*(1-(2*x**2)))/(((1-x-(4*x**2))+(2*x**3)+(4*x**4))-x**6))] }
-
-
-
-def A121483():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(((1-(3*x))+(6*x**3))-(3*x**4)))/((1+x)*((1-(3*x))+x**2)**2*(1-x-x**2)))] }
-
-
-
-def A121485():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2)*(1-(2*x**2)))/(((1-x-(4*x**2))+(2*x**3)+(4*x**4))-x**6))] }
-
-
-
-def A121486():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x)*(((1-x-(3*x**2))+(3*x**3))-x**4))/((1+x)*(1-x-x**2)*((1-(3*x))+x**2)**2))] }
-
-
-
-def A121511():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(4*x)-(8*x**2)-(12*x**3))+(21*x**4)))/((1+x)*(x**2+1)*(x-1)**2)))] }
-
-
-
-def A121515():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((((23166*x**4)-(7758*x**3))+x)-1))/(((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A121517():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-x**2)/((1-(4*x)-(4*x**2))+x**3))] }
-
-
-
-def A121523():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(3*x))+x**2+(5*x**3))-(5*x**4)))/((1+x)*((1-(3*x))+x**2)**2*(1-x-x**2)))] }
-
-
-
-def A121525():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1-x-(2*x**2))+(3*x**3))-(2*x**4)))/((1+x)*((1-(3*x))+x**2)**2*(1-x-x**2)))] }
-
-
-
-def A121530():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1-(2*x)-x**2)+(4*x**3))-(3*x**4)))/((1+x)*((1-(3*x))+x**2)**2*(1-x-x**2)))] }
-
-
-
-def A121544():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*(x-1))/(((4*x)-1)*((16*x)-1))))] }
-
-
-
-def A121607():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+(3*x)+(9*x**2)))/(1-(3*x))**4)] }
-
-
-
-def A121621():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))+(13*x**2)))] }
-
-
-
-def A121622():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(6*x))+(13*x**2)))] }
-
-
-
-def A121628():
- x = SR.var('x')
- return { 'ogf': [((3*x*(7+(10*x)+x**2))/(1-x)**4)] }
-
-
-
-def A121646():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A121670():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((x**2-(5*x))+1))/(x-1)**4))] }
-
-
-
-def A121671():
- x = SR.var('x')
- return { 'ogf': [((((1-(9*x))+(71*x**2)+(61*x**3))-(4*x**4))/(1-x)**5)] }
-
-
-
-def A121672():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((2+(7*x))-(78*x**2))+(7*x**3)+(2*x**4)))/(1-x)**6))] }
-
-
-
-def A121686():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*(1-(3*x)-((1-x)*sqrt((1-(4*x))))))/(x**2*sqrt((1-(4*x)))))] }
-
-
-
-def A121693():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+(6*x))-(4*x**2)))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A121720():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-1)-x)+x**2))/((1-(4*x**2))+(2*x**4))))] }
-
-
-
-def A121724():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1-(16*x**2)))+(2*x))-1)/(2*x*(1-(5*x))))] }
-
-
-
-def A121740():
- x = SR.var('x')
- return { 'ogf': [((8*x**2)/((1-(66*x))+x**2))] }
-
-
-
-def A121781():
- x = SR.var('x')
- return { 'ogf': [(((5/16)-(x/8))+((((((144*x**4)-(256*x**3))+(92*x**2))-(52*x))+5)/(16*((2*x)-1)**5)))] }
-
-
-
-def A121795():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)**2*((((((x**8-(2*x**7))+(2*x**6))-(3*x**5))+(3*x**4)+(2*x**2))-x)+1))/((x**12+(6*x**6))-1)))] }
-
-
-
-def A121798():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((-28)-(296*x))+(494*x**2)+(2259*x**3))-(649*x**4)-(1829*x**5))+(281*x**6)))/(((3*x)-1)*(1+x)*(x**2-(2*x)-1)*((((2*x**4)-(16*x**3))+(5*x**2)+(4*x))-1)))] }
-
-
-
-def A121800():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-159)-(4058*x)-(14868*x**2))+(32660*x**3)+(30532*x**4)))/(((2*x**2)-1)*((2*x**2)+(4*x)+1)*(((14*x**2)-(8*x))+1)))] }
-
-
-
-def A121801():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(3-x))/((1+x)*((x**2-(3*x))+1))),
-(((-10)+(8/(1+x))+((2*(1+x))/((1-(3*x))+x**2)))/5)] }
-
-
-
-def A121803():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((-28)-(236*x))+(829*x**2)+(331*x**3))-(2122*x**4))+(1130*x**5)))/((x-1)*((2*x)+1)*((2*x)-1)*((((13*x**4)-(19*x**3)-(2*x**2))+(6*x))-1)))] }
-
-
-
-def A121804():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-159)-(3733*x)-(8931*x**2))+(45409*x**3)+(8094*x**4)))/(((6*x)-1)*((3*x)-1)*((2*x)-1)*((3*x)+1)*(1+x)))] }
-
-
-
-def A121816():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**6-(8*x**2))+x+9))/((x-1)**2*(x+1)))] }
-
-
-
-def A121887():
- x = SR.var('x')
- return { 'ogf': [(((((((-1705829)+(8921273*x))-(18696356*x**2))+(19628654*x**3))-(10324925*x**4))+(2177213*x**5))/(x-1)**6)] }
-
-
-
-def A121907():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A121957():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((43-(11*x)-(148*x**2))+(23*x**3)))/((((-1)+(2*x)+(7*x**2))-(7*x**3)-(12*x**4))+(2*x**5))))] }
-
-
-
-def A121960():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(30*x)+(49*x**2))-(71*x**3)-(116*x**4)))/(((2*x)+1)*(((4*x**2)+(2*x))-1)*((2*x**2)-1)))] }
-
-
-
-def A121961():
- x = SR.var('x')
- return { 'ogf': [(1/(((2*x)+1)*(((-(4*x**2))-(2*x))+1)*(1-(2*x**2))**2))] }
-
-
-
-def A121962():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((((454*x**9)+(317*x**8))-(4208*x**7)-(677*x**6))+(7373*x**5)+(3212*x**4))-(2295*x**3)-(1084*x**2))+(217*x)+104))/(((((((18*x**11)+(10*x**10))-(147*x**9)-(71*x**8))+(312*x**7)+(221*x**6))-(140*x**5)-(121*x**4))+(17*x**3)+(21*x**2))-1)))] }
-
-
-
-def A121968():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(4*x**2))-(2*x**3))/(x-1)**4)] }
-
-
-
-def A121986():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)+(2*x))-(3*x**3))+x**4))/(((x**3+x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A121988():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((2*sqrt((1-(4*x))))-1)))/2)] }
-
-
-
-def A121990():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(9*x)+(2*x**2)))/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A122007():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1-(2*x)))/(((3*x)-1)*((3*x**2)-1)))] }
-
-
-
-def A122009():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(11*x))+(6*x**2)))/(((1-(12*x))+(15*x**2))-(2*x**3)))] }
-
-
-
-def A122010():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-(5*x)))/(((1-(12*x))+(15*x**2))-(2*x**3)))] }
-
-
-
-def A122011():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/(((1-(12*x))+(15*x**2))-(2*x**3)))] }
-
-
-
-def A122012():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3+(3*x))-(2*x**2)))/((x**2-x-1)*((x**2+x)-1)))] }
-
-
-
-def A122013():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((5*x**7)-(20*x**6)-(2*x**5))+(54*x**4)+(7*x**3))-(20*x**2)-(8*x)-1))/(((x**4-x**3-(3*x**2))+x+1)*(((x**4+x**3)-(3*x**2)-x)+1))))] }
-
-
-
-def A122014():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((8*x**7)-(33*x**6)-(30*x**5))+(88*x**4)+(35*x**3))-(33*x**2)-(11*x)-1))/(((x**4-x**3-(3*x**2))+x+1)*(((x**4+x**3)-(3*x**2)-x)+1))))] }
-
-
-
-def A122015():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((21*x**7)+(65*x**6)+(77*x**5)+(39*x**4))-(17*x**3)-(38*x**2)-(11*x)-1))/((x+1)*((x**3+x**2)-1)*((x**4+(2*x**3)+x**2+x)-1))))] }
-
-
-
-def A122023():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1+(3*x)+x**2)-x**3)+(28*x**4)+(80*x**5)))/(((1-(10*x**2))+(29*x**4))-(24*x**6)))] }
-
-
-
-def A122058():
- x = SR.var('x')
- return { 'ogf': [((x*((6*x**3)+(6*x**2)+(4*x)+1))/((x-1)*(((12*x**3)+(11*x**2))-1)))] }
-
-
-
-def A122074():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(7*x))+(2*x**2)))] }
-
-
-
-def A122088():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(10*x))-(6*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A122099():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(3*x**2))/((1+(3*x))-x**3))] }
-
-
-
-def A122100():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(3*x**2))/((1-(3*x))+x**3))] }
-
-
-
-def A122109():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(3*x**2))/((1-(9*x**2))+(4*x**3)))] }
-
-
-
-def A122112():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1+x)-(4*x**2)))] }
-
-
-
-def A122115():
- x = SR.var('x')
- return { 'ogf': [((x*((-3)+(2*x)+(5*x**2)+(7*x**3)+(8*x**4)))/(1-x-x**3-x**5))] }
-
-
-
-def A122117():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(3*x)-(4*x**2)))] }
-
-
-
-def A122120():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(4*x)-(9*x**2)))] }
-
-
-
-def A122173():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**5+x**4)-(15*x**3))+(19*x**2))-(8*x))+1))/(((((x**6-(12*x**5))+(34*x**4))-(30*x**3))+(6*x**2)+(3*x))-1)))] }
-
-
-
-def A122174():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x**3))+(9*x**2))-(6*x))/((((1+x**5)-(7*x**4))+(13*x**3))-(5*x**2)-(2*x)))] }
-
-
-
-def A122186():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+(4*x**2))-(7*x)-1)/((x+1)*(((x**3+(3*x**2))-(24*x))+1))))] }
-
-
-
-def A122187():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-(3*x)-1))/((x**3-(4*x**2)-(11*x))+1)))] }
-
-
-
-def A122189():
- x = SR.var('x')
- return { 'ogf': [(x**6/(1-x-x**2-x**3-x**4-x**5-x**6-x**7))] }
-
-
-
-def A122192():
- x = SR.var('x')
- return { 'ogf': [((6*((253*x**4)+(1288*x**3)+(506*x**2)+1))/(1+(759*x**2)+(2576*x**3)+(759*x**4)+x**6))] }
-
-
-
-def A122265():
- x = SR.var('x')
- return { 'ogf': [(-(x**9/((-1)+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x)))] }
-
-
-
-def A122367():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(3*x))+x**2))] }
-
-
-
-def A122372():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(21*x))+(175*x**2))-(735*x**3))+(1624*x**4))-(1764*x**5))+(720*x**6))/(((((((1-(28*x))+(316*x**2))-(1845*x**3))+(5925*x**4))-(10190*x**5))+(8249*x**6))-(2119*x**7)))] }
-
-
-
-def A122461():
- x = SR.var('x')
- return { 'ogf': [((2*x**4)/((1-x-x**4)+x**5))] }
-
-
-
-def A122471():
- x = SR.var('x')
- return { 'ogf': [(-((((x-3)*x)+1)/((x-1)**2*((7*x)-1))))] }
-
-
-
-def A122491():
- x = SR.var('x')
- return { 'ogf': [((x**3*(2-x))/((1-x)*(1-x-x**2)**2))] }
-
-
-
-def A122501():
- x = SR.var('x')
- return { 'ogf': [(-((x*((47*x**3)+(25*x**2)+(5*x)+1))/(((38*x**4)+(54*x**3)+(22*x**2))-1)))] }
-
-
-
-def A122503():
- x = SR.var('x')
- return { 'ogf': [((x*(((75*x**3)+(21*x**2))-x-1))/(((38*x**4)+(54*x**3)+(22*x**2))-1))] }
-
-
-
-def A122508():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1+(2*x)+(3*x**2))))] }
-
-
-
-def A122513():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((5*x**3)+(9*x**2))-(45*x)-1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1)))] }
-
-
-
-def A122517():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**3-(2*x**4))+x**5))] }
-
-
-
-def A122518():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x**3)-x**4)+x**5))] }
-
-
-
-def A122519():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**3-x**2-1))/((x**2+1)*((x**3+x**2)-1)))] }
-
-
-
-def A122520():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/(x**5-x**3-x**2-x-1)))] }
-
-
-
-def A122521():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((x**2-x)+1)*(x**2+x+1))/((x**8+x**6)-1)))] }
-
-
-
-def A122554():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5-x**4-x**3-x**2)+1))/((x-1)**2*((x**2+x)-1))))] }
-
-
-
-def A122558():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(4*x)-(3*x**2)))] }
-
-
-
-def A122571():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(13*x)))/((1-(14*x))+x**2))] }
-
-
-
-def A122572():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)))/(1+(14*x)+x**2))] }
-
-
-
-def A122574():
- x = SR.var('x')
- return { 'ogf': [((x+(12*x**2))/((1+(11*x))-x**2))] }
-
-
-
-def A122575():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1))/(x**2+(14*x)+1)**3)] }
-
-
-
-def A122576():
- x = SR.var('x')
- return { 'ogf': [(((((1-(2*x))+(6*x**2))-(2*x**3))+x**4)/((x-1)**3*(x+1)**4))] }
-
-
-
-def A122581():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x**2)+x**3+(5*x**4)))/((((((-1)+x)-(2*x**2))+x**3)-(4*x**4))+(2*x**5))))] }
-
-
-
-def A122582():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x**2)+x**3+(3*x**4)))/((((((-1)+x)-(2*x**2))+x**3)-(2*x**4))+x**5)))] }
-
-
-
-def A122583():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(7*x**4)-x**3-(2*x**2))*x)/((((((-1)+(3*x**5))-(6*x**4))+x**3)-(2*x**2))+x))] }
-
-
-
-def A122588():
- x = SR.var('x')
- return { 'ogf': [(-(x/((((((-1)+(9*x))-(28*x**2))+(35*x**3))-(15*x**4))+x**5)))] }
-
-
-
-def A122589():
- x = SR.var('x')
- return { 'ogf': [(1/((((((x**6-(21*x**5))+(70*x**4))-(84*x**3))+(45*x**2))-(11*x))+1))] }
-
-
-
-def A122595():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(3*x))+x**2+x**3)-x**4))] }
-
-
-
-def A122597():
- x = SR.var('x')
- return { 'ogf': [(-((((((15*x**10)-(15*x**9))+(3*x**8))-(3*x**7))+(6*x**6)+x**5+(8*x**4)+(5*x**3)+(3*x**2)+(2*x)+1)/((3*x**5)-1)))] }
-
-
-
-def A122600():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+(3*x))-(4*x**2))+x**3))] }
-
-
-
-def A122602():
- x = SR.var('x')
- return { 'ogf': [(((((5*x**4)-(5*x**2))+1)*(((x**5-(3*x**4)-(3*x**3))+(4*x**2)+x)-1))/((x-1)*((x**3-(2*x**2)-x)+1)*(((x**6+(8*x**5)+(8*x**4))-(6*x**3)-(6*x**2))+x+1)))] }
-
-
-
-def A122605():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1)*((2*x**2)-1)*((x**3+(2*x**2))-x-1))/((x-1)*((x**2+x)-1)*((x**4-(4*x**3)-(4*x**2))+x+1))))] }
-
-
-
-def A122607():
- x = SR.var('x')
- return { 'ogf': [((x*(((8*x**5)+(5*x**4))-x**3-(5*x**2)-1))/((((x**6+(3*x**5)+(6*x**4)+(4*x**3))-(5*x**2))+x)-1))] }
-
-
-
-def A122608():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(x+1)*(x**2-x-1))/((((-1)+x**5)-(3*x**4)-(3*x**3))+(4*x**2)+x)))] }
-
-
-
-def A122611():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-(7*x))+(15*x**2))-(6*x**3)-(11*x**4))+(6*x**5)+x**6))] }
-
-
-
-def A122652():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(10*x))+x**2))] }
-
-
-
-def A122653():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(10*x))+x**2))] }
-
-
-
-def A122656():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+x**3+(7*x**2)+x+2))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A122657():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((4*x**6)+(19*x**5)+(62*x**4)+(70*x**3)+(62*x**2)+(19*x)+4))/((x+1)**4*(x-1)**6))] }
-
-
-
-def A122658():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x**8+(7*x**7)+(95*x**6)+(113*x**5)+(379*x**4)+(149*x**3)+(189*x**2)+(19*x)+8))/((x-1)**6*(x+1)**5))] }
-
-
-
-def A122678():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)**2)/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A122679():
- x = SR.var('x')
- return { 'ogf': [(-((5*x**2*(1+x))/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A122690():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(5*x)-(4*x**2)))] }
-
-
-
-def A122694():
- x = SR.var('x')
- return { 'ogf': [((x*((583+(237*x)+(1463*x**2))-(341*x**3)-(79*x**4)-(341*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A122695():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1-x)+x**2))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A122709():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x))**2] }
-
-
-
-def A122737():
- x = SR.var('x')
- return { 'ogf': [(1-(3*x)-sqrt(((1-(6*x))+(5*x**2))))] }
-
-
-
-def A122742():
- x = SR.var('x')
- return { 'ogf': [((x**6*(x-1)*(((2*x**3)-(4*x**2))+1))/(((2*x)-1)**2*((2*x**2)-1)))] }
-
-
-
-def A122746():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A122751():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((1-x)+(3*x**2))-x**3)+x**4))/((1+x**2)*(1+x)**2*(x-1)**5)))] }
-
-
-
-def A122756():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(2*x**2))/(1-(4*x**2)))] }
-
-
-
-def A122769():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/((1-(14*x))+x**2))] }
-
-
-
-def A122770():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x-3))/((x-1)*((x**2-(14*x))+1)))] }
-
-
-
-def A122789():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-x))/(1-x-x**4))] }
-
-
-
-def A122803():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(2*x))),
-(1/(1+(2*x)))] }
-
-
-
-def A122876():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/((1-x)+x**2))] }
-
-
-
-def A122878():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((23*x**14)-(10*x**11))+(22*x**7)+x**4+12))/((x-1)*(x**2+x+1)*((((((((x**12-x**11)+x**9)-x**8)+x**6)-x**4)+x**3)-x)+1))))] }
-
-
-
-def A122879():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(((2*x**10)-x**7)+x**3+1))/((x-1)*(x**2+x+1)*((((((((x**12-x**11)+x**9)-x**8)+x**6)-x**4)+x**3)-x)+1))))] }
-
-
-
-def A122883():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+x))/(((2*x)+1)*((1-(6*x))+x**2))))] }
-
-
-
-def A122884():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(((2*x)+1)*((1-(6*x))+x**2)))] }
-
-
-
-def A122885():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(9*x))-(2*x**2)))/(((2*x)+1)*((1-(6*x))+x**2)))] }
-
-
-
-def A122886():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x)*(((2*x**5)-x**4)+(3*x**2)+(2*x)+1))/(((2*x**3)+1)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A122909():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2))/(((x**2+(4*x))-1)*(x**2-x-1)))] }
-
-
-
-def A122910():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(3*x**2))/((1-(6*x)-(24*x**2))+(64*x**3)))] }
-
-
-
-def A122911():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-(31*x**2)-(25*x**3))/((1-(10*x)-(120*x**2))+(320*x**3)+(1024*x**4)))] }
-
-
-
-def A122920():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(2*x)-(2*x**2)-sqrt((1-(4*x)))))/(2*(2+x)*x**3))] }
-
-
-
-def A122931():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)*((1-(3*x))+x**2)*(1-x-x**2)))] }
-
-
-
-def A122946():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/(((2*x)-1)*((2*x**2)+x+1))))] }
-
-
-
-def A122948():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)*((x**2-(3*x))+1))/((((-1)+x**5+(2*x**4))-(5*x**3)-(2*x**2))+(4*x)))] }
-
-
-
-def A122973():
- x = SR.var('x')
- return { 'ogf': [(1-((6*x*((-2)+(3*x)))/(((4*x)-1)*(x-1))))] }
-
-
-
-def A122983():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2)/((1-x)*(1+x)*(1-(3*x))))] }
-
-
-
-def A122997():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-x**4)+(2*x**3))-x**2)+(2*x))/((-1)+x**5+x**4+x**3+x**2+x))] }
-
-
-
-def A122999():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(25*x**2)))] }
-
-
-
-def A123003():
- x = SR.var('x')
- return { 'ogf': [(((8-(29*x))+(24*x**2))/((1-(4*x))*(1-(3*x))*(1-(2*x))**2*(1-x)**2))] }
-
-
-
-def A123004():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(2*x)-(25*x**2)))] }
-
-
-
-def A123005():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(2*x)-(49*x**2)))] }
-
-
-
-def A123008():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x)+1))/(((25*x**2)+(2*x))-1)))] }
-
-
-
-def A123009():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x)+1))/(((49*x**2)+(2*x))-1)))] }
-
-
-
-def A123011():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(2*x)-(5*x**2)))] }
-
-
-
-def A123015():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1-x-x**3)+x**5))] }
-
-
-
-def A123016():
- x = SR.var('x')
- return { 'ogf': [(((-(2*x**3))+(3*x**2)+x)/((1-(2*x))*(1+(4*x))))] }
-
-
-
-def A123020():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(x**2/(1-(2*x)-(x**2/(1-(3*x)))))))] }
-
-
-
-def A123056():
- x = SR.var('x')
- return { 'ogf': [((4*x*((x**2-(13*x))+1))/(((x**2-(34*x))+1)*((x**2-(6*x))+1)))] }
-
-
-
-def A123057():
- x = SR.var('x')
- return { 'ogf': [((8*x*((x**2-(13*x))+1))/(((x**2-(34*x))+1)*((x**2-(6*x))+1)))] }
-
-
-
-def A123095():
- x = SR.var('x')
- return { 'ogf': [((x*(x**10+(2036*x**9)+(152637*x**8)+(2203488*x**7)+(9738114*x**6)+(15724248*x**5)+(9738114*x**4)+(2203488*x**3)+(152637*x**2)+(2036*x)+1))/(1-x)**13)] }
-
-
-
-def A123102():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-x-x**2-(3*x**3)))] }
-
-
-
-def A123108():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**3)/((1-x-x**2)+x**3))] }
-
-
-
-def A123111():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**7-(9*x**6)-(127*x**5)-(1227*x**4)-(2317*x**3)-(1223*x**2)-(133*x)-5))/(x-1)**8))] }
-
-
-
-def A123115():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x**2+(8*x)+1))/(((x**2-(34*x))+1)*((x**2-(6*x))+1)))] }
-
-
-
-def A123116():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x**2+(8*x)+1))/(((x**2-(34*x))+1)*((x**2-(6*x))+1)))] }
-
-
-
-def A123126():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((10*x**9)+(9*x**8)+(16*x**7)+(21*x**6)+(18*x**5))-(30*x**4))+(4*x**3))-(3*x**2)-1))/(((((x**10+x**9+(2*x**8)+(3*x**7)+(3*x**6))-(6*x**5))+x**4)-x**3-x)+1)))] }
-
-
-
-def A123127():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((10*x**9)-(9*x**8)-(7*x**6))+(6*x**5))-(30*x**4))+(12*x**3)+(9*x**2)+(4*x)+1))/((((x**10-x**9-x**7)+x**6)-(6*x**5))+(3*x**4)+(3*x**3)+(2*x**2)+x+1)))] }
-
-
-
-def A123164():
- x = SR.var('x')
- return { 'ogf': [((1+x+sqrt(((1-(6*x))+x**2)))/(2*sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A123166():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-x**2)/(x-1)/((4*x)-1))] }
-
-
-
-def A123168():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(6*x)+(3*x**2)+(2*x**3)))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A123169():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x**3+(6*x**2)+(3*x)+2))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A123170():
- x = SR.var('x')
- return { 'ogf': [((x*((((((2*x**21)+x**20)-(2*x**19)-x**18)+(3*x**16)+(2*x**15)+(15*x**14)+(5*x**13))-(2*x**12)-(5*x**11))+(2*x**10)+(2*x**9)+x**8+(8*x**7)+(33*x**6)+(6*x**5)+(21*x**4)+(3*x**3)+(2*x**2)+(3*x)+1))/((x**20-(2*x**10))+1))] }
-
-
-
-def A123183():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(3*x))+x**2)/((1-(4*x))+(3*x**2))))] }
-
-
-
-def A123184():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((3*x**4)+(9*x**3))-(29*x**2))+(12*x))-1))/((x-1)*(((x**4-(3*x**3)-(27*x**2))+(12*x))-1))))] }
-
-
-
-def A123190():
- x = SR.var('x')
- return { 'ogf': [(-((((12*x**3)+(28*x**2))-(4*x)-1)/(((108*x**4)-(30*x**3)-(34*x**2))+(4*x)+1)))] }
-
-
-
-def A123197():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(29*x)+(65*x**2)+(3*x**3))/(1-x)**5)] }
-
-
-
-def A123198():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(71*x**2)+(25*x**3))/(1-x)**5)] }
-
-
-
-def A123203():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(4*x**2)))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A123208():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x)+(3*x**2))-x**3)/((1-x)*(1+x)*(1-(2*x**2))))] }
-
-
-
-def A123219():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(52*x**3))-(122*x**2)-(28*x))+1))/((x-1)*((x**2-(34*x))+1)*(x**2+(6*x)+1))))] }
-
-
-
-def A123222():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((3*x**2)-1))/((((9*x**4)-(8*x**3))+(4*x))-1)))] }
-
-
-
-def A123228():
- x = SR.var('x')
- return { 'ogf': [((2*((7*x**4)+(80*x**3)+(142*x**2)+(32*x)+3))/((x+1)*(x**4+(12*x**3)+(62*x**2)+(12*x)+1)))] }
-
-
-
-def A123231():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)+x**3))/((-1)+x**2+x**4)))] }
-
-
-
-def A123251():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**7-x**6)+(4*x**5))-x**4)+(3*x**3)+x**2+(4*x)+1))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A123268():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((2*x**2)-(73*x))+2))/(((x**2-(194*x))+1)*((x**2-(14*x))+1)))] }
-
-
-
-def A123270():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(1-(5*x)-(4*x**2)))] }
-
-
-
-def A123278():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((3*x**2)-(74*x))+3))/(((x**2-(98*x))+1)*((x**2-(10*x))+1)))] }
-
-
-
-def A123282():
- x = SR.var('x')
- return { 'ogf': [((8*x*(((2*x**2)-(73*x))+2))/(((x**2-(194*x))+1)*((x**2-(14*x))+1)))] }
-
-
-
-def A123283():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((3*x**2)-(74*x))+3))/(((x**2-(98*x))+1)*((x**2-(10*x))+1)))] }
-
-
-
-def A123296():
- x = SR.var('x')
- return { 'ogf': [(25/(1-x)**3)] }
-
-
-
-def A123335():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1+(2*x))-x**2))] }
-
-
-
-def A123344():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1+(2*x)))] }
-
-
-
-def A123348():
- x = SR.var('x')
- return { 'ogf': [(-((3*x)/(((2*x**2)+(4*x))-1)))] }
-
-
-
-def A123350():
- x = SR.var('x')
- return { 'ogf': [((((((-1)+(2*x))-(9*x**2))+(4*x**3))-(2*x**4))/(x-1)**5)] }
-
-
-
-def A123357():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x)-1)/(((8*x**2)-(8*x))+1)))] }
-
-
-
-def A123358():
- x = SR.var('x')
- return { 'ogf': [(-(((5*x)-1)/(((25*x**2)-(15*x))+1)))] }
-
-
-
-def A123362():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/(1-(6*x)-(5*x**2)))] }
-
-
-
-def A123363():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(5*x))-x**2)+(9*x**3))/((1+x)*(x-1)**4))] }
-
-
-
-def A123478():
- x = SR.var('x')
- return { 'ogf': [(-((48*x)/((x-1)*((x**2-(254*x))+1))))] }
-
-
-
-def A123479():
- x = SR.var('x')
- return { 'ogf': [(-((20*x)/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A123480():
- x = SR.var('x')
- return { 'ogf': [(-((4*x)/((x-1)*((x**2-(14*x))+1))))] }
-
-
-
-def A123482():
- x = SR.var('x')
- return { 'ogf': [(-((60*x)/((x-1)*((x**2-(398*x))+1))))] }
-
-
-
-def A123518():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-(3*x**2))+(2*x**3)))/((1-(3*x)-x**2)+x**3)**2)] }
-
-
-
-def A123520():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1-x))/((1-(4*x))+x**2)**2)] }
-
-
-
-def A123552():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-x**3)+x**5))] }
-
-
-
-def A123596():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2))/((1-x)**3*(1+x)**3))] }
-
-
-
-def A123620():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A123650():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(21*x)+(70*x**2)+(20*x**3)+(6*x**4))-x**5))/(1-x)**6)] }
-
-
-
-def A123654():
- x = SR.var('x')
- return { 'ogf': [((x*((264+(1227*x)+(936*x**2))-(200*x**3)-(409*x**4)-(200*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A123656():
- x = SR.var('x')
- return { 'ogf': [((x*(((3+(60*x)+(307*x**2)+(272*x**3)+(81*x**4))-(4*x**5))+x**6))/(1-x)**7)] }
-
-
-
-def A123657():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**9-(8*x**8)-(406*x**7)-(14592*x**6)-(88496*x**5)-(156316*x**4)-(87762*x**3)-(14744*x**2)-(553*x)-4))/(x-1)**10))] }
-
-
-
-def A123658():
- x = SR.var('x')
- return { 'ogf': [((x*((x**10-(8*x**9))+(615*x**8)+(33654*x**7)+(381288*x**6)+(1242534*x**5)+(1378908*x**4)+(528210*x**3)+(62031*x**2)+(1562*x)+5))/(1-x)**11)] }
-
-
-
-def A123684():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A123761():
- x = SR.var('x')
- return { 'ogf': [(((60*x**6)-(60*x**5)-(15*x**4)-(12*x**3)-(3*x**2)-(2*x)-1)/((120*x**6)-1))] }
-
-
-
-def A123865():
- x = SR.var('x')
- return { 'ogf': [((x**2*((15+(5*x)+(5*x**2))-x**3))/(1-x)**5)] }
-
-
-
-def A123866():
- x = SR.var('x')
- return { 'ogf': [((x**2*((63+(287*x)+(322*x**2)+(42*x**3)+(7*x**4))-x**5))/(1-x)**7)] }
-
-
-
-def A123871():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A123887():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(5*x)-(5*x**2)))] }
-
-
-
-def A123888():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-x**2)**3-1)+x))] }
-
-
-
-def A123889():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-x**2)**4-1)+x))] }
-
-
-
-def A123890():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-x**2)**5-1)+x))] }
-
-
-
-def A123891():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x**2))+x**3)/((1-(3*x))+x**3))] }
-
-
-
-def A123892():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x**2)*(1+(2*x**2)))/(((-1)-(3*x**2)-(2*x**4))+(3*x)+(6*x**3)+(2*x**5))))] }
-
-
-
-def A123893():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x**2)*(1+(2*x**2))*(1+(3*x**2)))/(((-1)-(6*x**2)-(11*x**4)-(6*x**6))+(4*x)+(18*x**3)+(22*x**5)+(6*x**7))))] }
-
-
-
-def A123894():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x**2)*(1+(2*x**2))*(1+(3*x**2))*(1+(4*x**2)))/(((-1)-(10*x**2)-(35*x**4)-(50*x**6)-(24*x**8))+(5*x)+(40*x**3)+(105*x**5)+(100*x**7)+(24*x**9))))] }
-
-
-
-def A123919():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**2))/((1+x)*(1-x)**2*(1+x+x**2)*((1-x)+x**2)))] }
-
-
-
-def A123932():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-x))] }
-
-
-
-def A123941():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))+x**3))] }
-
-
-
-def A123942():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2+x)-1))/(((x**4+x**3)-(4*x**2)-(4*x))+1)))] }
-
-
-
-def A123950():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-(2*x)))/((1-(3*x)-(3*x**2))+(2*x**3)))] }
-
-
-
-def A123954():
- x = SR.var('x')
- return { 'ogf': [(-(x**5/(((4*x)-1)*((3*x)-1)*((5*x)-1)*(((13*x**2)-(8*x))+1))))] }
-
-
-
-def A123955():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-(3*x))*(1-(2*x))*(1-(4*x))*(((6*x**2)-(6*x))+1)))] }
-
-
-
-def A123957():
- x = SR.var('x')
- return { 'ogf': [(x**4/(((2*x)+1)*((((2*x**3)+x**2)-(2*x))+1)))] }
-
-
-
-def A123959():
- x = SR.var('x')
- return { 'ogf': [(1/((((8*x**5)+(8*x**4))-(8*x**3)-(4*x**2))+1))] }
-
-
-
-def A123968():
- x = SR.var('x')
- return { 'ogf': [((x*((-2)+x)*(1-(3*x)))/(1-x)**3)] }
-
-
-
-def A123991():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**4)/((1-x)**2*(1-x**2)**4*(1-x**3)**4)),
-((1+x**6)/((1-x)**2*(1-x**2)**3*(1-x**3)**4*(1-x**4)))] }
-
-
-
-def A124011():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(7*x))+(5*x**2)))/(1-x)**3)] }
-
-
-
-def A124023():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x)-(6*x**2))+(4*x**3)))] }
-
-
-
-def A124024():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+(2*x))-(9*x**2)-(10*x**3))+(5*x**4)))] }
-
-
-
-def A124026():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((3*x)-2))/(((2*x)+1)*(((2*x**2)-(4*x))+1))))] }
-
-
-
-def A124072():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2+x**3))/((x**2+1)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A124125():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((68*x**4)-(597*x**3))+(346*x**2))-(51*x))+2))/(((5*x)-1)*((x**2-(18*x))+1)*(((16*x**2)-(12*x))+1))))] }
-
-
-
-def A124126():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((48015*x**7)+(9278012*x**6))-(12039433*x**5))+(3970491*x**4))-(510573*x**3))+(29407*x**2))-(756*x))+7))/(((x**2-(47*x))+1)*(((25*x**2)-(35*x))+1)*(((81*x**2)-(27*x))+1)*(((121*x**2)-(23*x))+1)))] }
-
-
-
-def A124133():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x)-5))/((x-1)**2*((4*x)-1)))] }
-
-
-
-def A124156():
- x = SR.var('x')
- return { 'ogf': [(((((x**16-x**14-x**10)+x**8)-x**6)+x**4+1)/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A124285():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(x**12+(2*x**9)+(2*x**8)+(2*x**7)+(5*x**6)+(3*x**5)+(2*x**4)+(2*x**3)+x**2+x+1))/((x-1)**5*(x+1)**4*(x**2+1)**2*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A124286():
- x = SR.var('x')
- return { 'ogf': [((x**6*(x**13+(3*x**12)+(6*x**11)+(6*x**10)+(10*x**9)+(9*x**8)+(12*x**7)+(10*x**6)+(8*x**5)+(5*x**4)+(4*x**3)+(2*x**2)+x+1))/((x-1)**6*(x+1)**5*((x**2-x)+1)*(x**2+1)**2*(x**2+x+1)**2))] }
-
-
-
-def A124296():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**5+(9*x**4))-(15*x**3))+x**2+(3*x))-1)/((x-1)*(x+1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A124297():
- x = SR.var('x')
- return { 'ogf': [(-(((((11*x**5)-(21*x**4)-(15*x**3))+(31*x**2))-(7*x)-1)/((x-1)*(x+1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A124302():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x/(1-(x/(1-(x/(1-x))))))))] }
-
-
-
-def A124312():
- x = SR.var('x')
- return { 'ogf': [((x**3+x**2+x+1)/(1-x-x**2-x**3-x**4-x**5))] }
-
-
-
-def A124313():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+x+x**2+x**3))/((-1)+x+x**2+x**3+x**4+x**5))] }
-
-
-
-def A124329():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**2)-sqrt(((1-(2*x)-(3*x**2))+(4*x**3))))/(2*(1-x)*x**2))] }
-
-
-
-def A124349():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((3+(3*x))-(4*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A124350():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x**2+1)*(x**2+(4*x)+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A124356():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1+(3*x))-(2*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A124388():
- x = SR.var('x')
- return { 'ogf': [((18+(9*x))/(x-1)**2)] }
-
-
-
-def A124400():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-(3*x**2))+x**4))] }
-
-
-
-def A124431():
- x = SR.var('x')
- return { 'ogf': [(-(((1/2)*(((1-(4*x))+x**2)-((x**2+1)*((1-(4*x))+x**2))**(1/2)))/x/((1-(4*x))+x**2)))] }
-
-
-
-def A124479():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1+(6*x))-(8*x**2))+(3*x**3)))/(1-x)**5)] }
-
-
-
-def A124612():
- x = SR.var('x')
- return { 'ogf': [((((1-x**2)+x**4)*((((1-x-x**3)+x**4+(2*x**5)+x**6)-x**7-x**9)+x**10))/((1-x)**3*(1-x**2)**4*(1-x**3)**5*(1-x**4)**5))] }
-
-
-
-def A124615():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**4*(1-x**2)**4*(1-x**3)**2))] }
-
-
-
-def A124616():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+x**3+x**5)-x**7)+x**8)/((1-x)**5*(1-x**2)**4*(1-x**3)**5*(1-x**4)**3))] }
-
-
-
-def A124625():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+(2*x**3))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A124630():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**4)+x**5+(3*x**6)+x**10)/((1-x**2)**3*(1-x**3)**3*(1-x**4)))] }
-
-
-
-def A124633():
- x = SR.var('x')
- return { 'ogf': [((x**12+(3*x**10)+(6*x**9)+(9*x**8)+(6*x**7)+(12*x**6)+(6*x**5)+(9*x**4)+(6*x**3)+(3*x**2)+1)/((1-x)**2*(1-x**2)**3*(1-x**3)**3*(1-x**4)))] }
-
-
-
-def A124647():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(3*x))**2)] }
-
-
-
-def A124671():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(3*x**2)))/((1-(2*x))*(x-1)**4))] }
-
-
-
-def A124696():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**3)+x**2)-1)/((x-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A124720():
- x = SR.var('x')
- return { 'ogf': [((x**3*(2-(3*x)))/((1-(2*x**2))*(1-(2*x))**2))] }
-
-
-
-def A124721():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*(x-1)**2)/(1-(2*x**3))/(1-(2*x))**3)] }
-
-
-
-def A124722():
- x = SR.var('x')
- return { 'ogf': [((x**5*(2-(3*x))*(1-x)**2)/(1-(2*x**2))**2/(1-(2*x))**4)] }
-
-
-
-def A124723():
- x = SR.var('x')
- return { 'ogf': [((2*x**6*((1-(2*x))+(3*x**2))*(1-x)**2)/(1-(2*x**5))/(1-(2*x))**5)] }
-
-
-
-def A124793():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x))*(1+(4*x)))/((1+x)*(1-(32*x**2))))] }
-
-
-
-def A124925():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-1)-(3*x)-x**2)+(2*x**3)+(4*x**4))-(2*x**5)-x**6-x**7)+x**8))/((x-1)**3*(1+x+x**2)**3))] }
-
-
-
-def A125116():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)**3*(x**2+(10*x)+1)**2)/(x-1)**9))] }
-
-
-
-def A125128():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A125145():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A125176():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+x+1))/((2*x)-1)))] }
-
-
-
-def A125187():
- x = SR.var('x')
- return { 'ogf': [(((2-(9*x))+x**2+((x+x**2)*sqrt((1-(4*x)))))/(((2-(10*x))+(4*x**2))-(2*x**3)))] }
-
-
-
-def A125189():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(((1-x)*(1+x**2))-((1+x)*sqrt((1-(2*x**2)-(3*x**4))))))/(2*x*((x**3+x**2+x)-1)))] }
-
-
-
-def A125196():
- x = SR.var('x')
- return { 'ogf': [((x**4+x**3+(6*x**2)+x+1)/((1-x)**6*(1+x)))] }
-
-
-
-def A125198():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(6*x**2)+(2*x**3)+x**4)/((1-x)**7*(1+x)))] }
-
-
-
-def A125201():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(16*x**2))/(1-x)**3)] }
-
-
-
-def A125202():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(11*x**2))/(1-x)**3)] }
-
-
-
-def A125372():
- x = SR.var('x')
- return { 'ogf': [((((1-(6*x**2)-(52*x**3))+(15*x**4)+(68*x**5))-(5*x**6)-(18*x**7))/((1+x)*((1-(2*x)-x**2)+x**3)*((1-(8*x))+x**2+(3*x**3))))] }
-
-
-
-def A125373():
- x = SR.var('x')
- return { 'ogf': [(((((1-x-(9*x**2)-(71*x**3))+(116*x**4)+(52*x**5))-(87*x**6)-(9*x**7))+(16*x**8))/((1+x)*((1-(3*x))+x**3)*(((1-(9*x))+(6*x**2)+(3*x**3))-(2*x**4))))] }
-
-
-
-def A125501():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*((((x**4-(12*x**3))+(19*x**2))-(8*x))+1))/((((((x**6-(36*x**5))+(105*x**4))-(112*x**3))+(54*x**2))-(12*x))+1)))] }
-
-
-
-def A125513():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(2*x)+(2*x**2)+(3*x**3)+x**4)-x**5-x**6-x**7-x**8-x**9))/((1-x-x**2-x**4-(2*x**5))+x**7+x**10))] }
-
-
-
-def A125586():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((10*x**2)-(6*x))+1))/(((3*x)-1)**2*((4*x)-1))))] }
-
-
-
-def A125630():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*((((((((4480*x**7)-(12176*x**6))+(11772*x**5))-(6168*x**4))+(1809*x**3))-(303*x**2))+(27*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1))))] }
-
-
-
-def A125650():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((((x**19-(2*x**18))+(3*x**17))-(5*x**16))+(3*x**15))-(6*x**14))+(7*x**13))-(11*x**12)-(12*x**11))+(24*x**10))-(36*x**9))+(24*x**8))-(38*x**7))+(28*x**6))-(18*x**5)-(3*x**4)-(2*x)-1))/((x-1)**3*(x**2+1)**3*(x**4+1)**3))] }
-
-
-
-def A125651():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(x*(4+(((-10)+x)*x))))/(((-1)+x)*(1+(((-6)+x)*x))))] }
-
-
-
-def A125682():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-x)*(1-(6*x))))] }
-
-
-
-def A125725():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(((7*x)-1)*(x-1)))] }
-
-
-
-def A125729():
- x = SR.var('x')
- return { 'ogf': [((5*x**2)/(((7*x)-1)*(x-1)))] }
-
-
-
-def A125817():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(1-(2*x)-(17*x**2)))] }
-
-
-
-def A125819():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)-(97*x**2)))] }
-
-
-
-def A125820():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(97*x**2)))] }
-
-
-
-def A125831():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-x)*(1-(5*x))))] }
-
-
-
-def A125836():
- x = SR.var('x')
- return { 'ogf': [((5*x**2)/(((8*x)-1)*(x-1)))] }
-
-
-
-def A125849():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**6+(18*x**5)+(35*x**4)+(62*x**3)+(31*x**2)+(12*x)+1))/((x+1)**4*(x-1)**6))] }
-
-
-
-def A125857():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((x-1)*((9*x)-1)))] }
-
-
-
-def A125880():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((((((20160*x**7)-(54792*x**6))+(53420*x**5))-(28436*x**4))+(8441*x**3))-(1439*x**2))+(131*x))-5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1))))] }
-
-
-
-def A125897():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((((((20160*x**7)-(54792*x**6))+(53344*x**5))-(28304*x**4))+(8374*x**3))-(1427*x**2))+(130*x))-5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1))))] }
-
-
-
-def A125904():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((((((20160*x**7)-(54792*x**6))+(53362*x**5))-(28337*x**4))+(8392*x**3))-(1430*x**2))+(130*x))-5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1))))] }
-
-
-
-def A125905():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(4*x)+x**2))] }
-
-
-
-def A125908():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(((((((630*x**6)-(1476*x**5))+(1457*x**4))-(664*x**3))+(162*x**2))-(20*x))+1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A125909():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((5040*x**6)-(11988*x**5))+(11944*x**4))-(5479*x**3))+(1367*x**2))-(173*x))+9))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A125910():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((((((1680*x**6)-(3976*x**5))+(3946*x**4))-(1807*x**3))+(451*x**2))-(57*x))+3))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A125945():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((((2520*x**6)-(6054*x**5))+(6063*x**4))-(2794*x**3))+(712*x**2))-(92*x))+5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A125946():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((((2520*x**6)-(6042*x**5))+(6043*x**4))-(2783*x**3))+(708*x**2))-(91*x))+5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A125947():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((((((1680*x**6)-(3988*x**5))+(3968*x**4))-(1819*x**3))+(453*x**2))-(57*x))+3))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A125948():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((((2520*x**6)-(6012*x**5))+(5990*x**4))-(2754*x**3))+(701*x**2))-(90*x))+5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A125950():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+(2*x**2)+x**3)-x**5-(2*x**6)-(3*x**7)-(3*x**8)-(2*x**9))/(((1+x)-x**3-x**4-x**5-x**6-x**7)+x**9+x**10))] }
-
-
-
-def A126019():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(6*x**2))/((1-(4*x)-x**2)+(4*x**3)))] }
-
-
-
-def A126020():
- x = SR.var('x')
- return { 'ogf': [(((2*x*(1-(3*x)))/(1-(4*x))**2)-(x/(1-(4*x))**(3/2)))] }
-
-
-
-def A126068():
- x = SR.var('x')
- return { 'ogf': [(1-x-sqrt((1-(2*x)-(3*x**2))))] }
-
-
-
-def A126079():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))*sqrt((1-(4*x))))] }
-
-
-
-def A126087():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(8*x**2))))/(x*(((4*x)-1)+sqrt((1-(8*x**2))))))] }
-
-
-
-def A126099():
- x = SR.var('x')
- return { 'ogf': [((((x/((1-x)*(1-x**2)**2))+1)-x**3)+(3*x**4)+(15*x**5)+x**6)] }
-
-
-
-def A126109():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A126116():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(1+x+x**2))/(((x**2+x)-1)*(x**2+1)))] }
-
-
-
-def A126180():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))*(((2-(9*x))+(5*x**2))-((2-(3*x))*sqrt(((1-(6*x))+(5*x**2))))))/(2*x**2*sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A126184():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+x**2)/(1-(3*x))**2)] }
-
-
-
-def A126185():
- x = SR.var('x')
- return { 'ogf': [((((((2-(15*x))+(30*x**2))-(15*x**3))*sqrt(((1-(6*x))+(5*x**2))))-((1-(5*x))*(2-(7*x))*(1-x)**2))/(2*x**2*((1-(6*x))+(5*x**2))))] }
-
-
-
-def A126187():
- x = SR.var('x')
- return { 'ogf': [((2*((1+(3*x))-sqrt(((1-(6*x))+(5*x**2)))))/((1-(3*x))+sqrt(((1-(6*x))+(5*x**2))))**2)] }
-
-
-
-def A126189():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-(6*x**3)-sqrt((((1-(6*x))+(9*x**2))-(12*x**3))))/(18*x**4))] }
-
-
-
-def A126220():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(4*x**3)-sqrt((((1-(8*x**3))+(4*x**2))-(4*x))))/(8*x**4))] }
-
-
-
-def A126221():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-sqrt((1-(4*x)))))/(2*x*(1-(2*x))))] }
-
-
-
-def A126223():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*(1-(2*x)-sqrt((1-(4*x)))))/(2*x*sqrt((1-(4*x)))))] }
-
-
-
-def A126274():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(7*x**2))/(1-x)**5)] }
-
-
-
-def A126275():
- x = SR.var('x')
- return { 'ogf': [(-((5*x**2*(x+1)*(x**2+(4*x)+1))/(x-1)**7))] }
-
-
-
-def A126276():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((7*x**5)+(171*x**4)+(666*x**3)+(656*x**2)+(171*x)+9))/(x-1)**9))] }
-
-
-
-def A126284():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(((1-(4*x))+(5*x**2))-(2*x**3)))] }
-
-
-
-def A126322():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(9*x**2))*(1-(3*x)-sqrt((((1-(6*x))+(9*x**2))-(36*x**4)))))/(18*x**4))] }
-
-
-
-def A126323():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))**2*(((2-(9*x))+(5*x**2))-((2-(3*x))*sqrt(((1-(6*x))+(5*x**2))))))/(2*x**2*sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A126335():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(11*x))-(2*x**2)))/(1-x)**4)] }
-
-
-
-def A126358():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(3*x))+x**2))] }
-
-
-
-def A126360():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+(5*x**2))-(2*x)-1)/(((x**3+(3*x**2))-(4*x))+1)))] }
-
-
-
-def A126362():
- x = SR.var('x')
- return { 'ogf': [(-(((((4*x**4)+x**3)-(12*x**2))+(3*x)+1)/(((2*x)-1)*((x**3-(3*x))+1))))] }
-
-
-
-def A126363():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**5)+(13*x**4))-(4*x**3)-(15*x**2))+(4*x)+1)/((x-1)*(((x**4+(6*x**3)+x**2)-(4*x))+1))))] }
-
-
-
-def A126364():
- x = SR.var('x')
- return { 'ogf': [(((((1+(4*x))-(22*x**2))+(11*x**3)+(14*x**4))-(3*x**5))/((((1-(6*x))+(10*x**2))-x**3-(6*x**4))+x**5))] }
-
-
-
-def A126365():
- x = SR.var('x')
- return { 'ogf': [(-((((((6*x**6)+(4*x**5))-(34*x**4)-(6*x**3))+(26*x**2))-(5*x)-1)/(((x**2+(2*x))-1)*((((2*x**4)-(4*x**3)-(2*x**2))+(4*x))-1))))] }
-
-
-
-def A126366():
- x = SR.var('x')
- return { 'ogf': [(-((((((3*x**6)+(22*x**5))-(25*x**4)-(34*x**3))+(35*x**2))-(5*x)-1)/(((((x**6+(6*x**5))-(11*x**4)-(6*x**3))+(15*x**2))-(7*x))+1)))] }
-
-
-
-def A126367():
- x = SR.var('x')
- return { 'ogf': [(-((((((4*x**7)-(23*x**6)-(38*x**5))+(59*x**4)+(30*x**3))-(40*x**2))+(6*x)+1)/((x-1)*((((x**6-(6*x**5)-(13*x**4))+(8*x**3)+(8*x**2))-(6*x))+1))))] }
-
-
-
-def A126392():
- x = SR.var('x')
- return { 'ogf': [(-((x**2-x-1)/((x**3-(4*x))+1)))] }
-
-
-
-def A126393():
- x = SR.var('x')
- return { 'ogf': [(1-((2*x*((-3)+x**2))/((1-(4*x)-x**2)+x**3)))] }
-
-
-
-def A126394():
- x = SR.var('x')
- return { 'ogf': [(1-((x*((7-(6*x)-(6*x**2))+(4*x**3)))/((x-1)*(((2*x**3)-(2*x**2)-(4*x))+1))))] }
-
-
-
-def A126420():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)+(9*x))-(3*x**2))+x**3))/(x-1)**4)] }
-
-
-
-def A126426():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**5-(5*x**4))+(40*x**3)+(50*x**2)+(35*x))-1))/(1-x)**6)] }
-
-
-
-def A126431():
- x = SR.var('x')
- return { 'ogf': [((10*x)/(1-(10*x))**2)] }
-
-
-
-def A126473():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(4*x)-(3*x**2)))] }
-
-
-
-def A126480():
- x = SR.var('x')
- return { 'ogf': [((((1+(4*x))-(16*x**2)-(14*x**3))+(14*x**4)+(6*x**5))/(((1-(8*x))+(8*x**2)+(18*x**3))-(10*x**4)-(6*x**5)))] }
-
-
-
-def A126501():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(5*x)-(4*x**2)))] }
-
-
-
-def A126528():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(6*x)-(5*x**2)))] }
-
-
-
-def A126562():
- x = SR.var('x')
- return { 'ogf': [((x**2*((7+(4*x))-(5*x**2)))/(1-x)**4)] }
-
-
-
-def A126566():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*((x**2-(4*x))+1))/((((1-(8*x))+(20*x**2))-(16*x**3))+x**4)))] }
-
-
-
-def A126567():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(((((2*x**4)-(16*x**3))+(20*x**2))-(8*x))+1))/((x-1)*((3*x)-1)*((((x**4-(16*x**3))+(20*x**2))-(8*x))+1))))] }
-
-
-
-def A126568():
- x = SR.var('x')
- return { 'ogf': [(-(((((-(11*x**4))+(sqrt((((5*x**2)-(6*x))+1))*((5*x**3)-(3*x**2)-1))+(12*x**3)+x**2)-(3*x))+1)/((((((-(10*x**5))+(sqrt((((5*x**2)-(6*x))+1))*((((4*x**4)-(8*x**3)-(3*x**2))+(7*x))-2))+(32*x**4))-(31*x**3))+(20*x**2))-(13*x))+2)))] }
-
-
-
-def A126569():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(((2*x**2)-(4*x))+1)*((((x**4-(16*x**3))+(20*x**2))-(8*x))+1))/((((((((1-(16*x))+(105*x**2))-(364*x**3))+(714*x**4))-(784*x**5))+(440*x**6))-(96*x**7))+x**8)))] }
-
-
-
-def A126627():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((720*x**5)-(1764*x**4))+(1372*x**3))-(539*x**2))+(98*x))-7))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A126628():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((((360*x**5)-(882*x**4))+(697*x**3))-(284*x**2))+(53*x))-4))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A126629():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((((360*x**5)-(882*x**4))+(695*x**3))-(281*x**2))+(52*x))-4))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A126631():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((720*x**5)-(1764*x**4))+(1412*x**3))-(591*x**2))+(112*x))-9))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A126632():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((720*x**5)-(1764*x**4))+(1408*x**3))-(585*x**2))+(110*x))-9))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A126633():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((((360*x**5)-(882*x**4))+(713*x**3))-(304*x**2))+(58*x))-5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A126634():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*(((((20*x**4)-(39*x**3))+(31*x**2))-(9*x))+1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A126635():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((120*x**4)-(242*x**3))+(197*x**2))-(58*x))+7))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A126639():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((120*x**4)-(238*x**3))+(191*x**2))-(56*x))+7))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A126640():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((60*x**4)-(123*x**3))+(101*x**2))-(30*x))+4))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A126641():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((120*x**4)-(250*x**3))+(207*x**2))-(62*x))+9))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A126642():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((24*x**3)-(50*x**2))+(25*x))-5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A126643():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((12*x**3)-(25*x**2))+(13*x))-3))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A126644():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((3*x**2)-(4*x))+2))/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A126645():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((6*x**2)-(9*x))+5))/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A126646():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-x)))] }
-
-
-
-def A126664():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(6*x)+1))/((x-1)*(x+1))))] }
-
-
-
-def A126665():
- x = SR.var('x')
- return { 'ogf': [(((53-(98*x))+(43*x**2))/(1-x)**3)] }
-
-
-
-def A126718():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((24*x**3)-(50*x**2))+(27*x))-7))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A126719():
- x = SR.var('x')
- return { 'ogf': [((((38-(13*x))*x)-23)/(x-1)**3)] }
-
-
-
-def A126765():
- x = SR.var('x')
- return { 'ogf': [((1/2)*sqrt(((((2+(5*x))-(2*x**2))+((2-x)*sqrt(((1-(12*x))+(4*x**2)))))/((1-(12*x))+(4*x**2)))))] }
-
-
-
-def A126866():
- x = SR.var('x')
- return { 'ogf': [((x+1)/((x**2-(13*x))+1))] }
-
-
-
-def A126898():
- x = SR.var('x')
- return { 'ogf': [((x**8+(7*x**7)+(28*x**6)+(79*x**5)+(130*x**4)+(79*x**3)+(28*x**2)+(7*x)+1)/(1-x)**8)] }
-
-
-
-def A126899():
- x = SR.var('x')
- return { 'ogf': [((x**2+x+1)**3/(1-x)**6)] }
-
-
-
-def A126900():
- x = SR.var('x')
- return { 'ogf': [((x**2+(4*x)+1)**3/(1-x)**6)] }
-
-
-
-def A126901():
- x = SR.var('x')
- return { 'ogf': [((x**4+(6*x**3)+(16*x**2)+(6*x)+1)**2/(1-x)**8)] }
-
-
-
-def A126902():
- x = SR.var('x')
- return { 'ogf': [((x**12+(9*x**11)+(45*x**10)+(158*x**9)+(432*x**8)+(909*x**7)+(1302*x**6)+(909*x**5)+(432*x**4)+(158*x**3)+(45*x**2)+(9*x)+1)/(x-1)**12)] }
-
-
-
-def A126903():
- x = SR.var('x')
- return { 'ogf': [((x**10+(12*x**9)+(67*x**8)+(232*x**7)+(562*x**6)+(1024*x**5)+(562*x**4)+(232*x**3)+(67*x**2)+(12*x)+1)/(1-x)**10)] }
-
-
-
-def A126904():
- x = SR.var('x')
- return { 'ogf': [((x**2+(4*x)+1)**4/(1-x)**8)] }
-
-
-
-def A126905():
- x = SR.var('x')
- return { 'ogf': [((x**10+1)**5/(1-x)**20)] }
-
-
-
-def A126919():
- x = SR.var('x')
- return { 'ogf': [((x**12+(14*x**11)+(92*x**10)+(378*x**9)+(1093*x**8)+(2380*x**7)+(4096*x**6)+(2380*x**5)+(1093*x**4)+(378*x**3)+(92*x**2)+(14*x)+1)/(x-1)**12)] }
-
-
-
-def A126920():
- x = SR.var('x')
- return { 'ogf': [((x**3+1)**9/(1-x)**18)] }
-
-
-
-def A126921():
- x = SR.var('x')
- return { 'ogf': [((x**6+(8*x**5)+(29*x**4)+(64*x**3)+(29*x**2)+(8*x)+1)**2/(1-x)**12)] }
-
-
-
-def A126922():
- x = SR.var('x')
- return { 'ogf': [((x**8+(22*x**7)+(208*x**6)+(874*x**5)+(1480*x**4)+(874*x**3)+(208*x**2)+(22*x)+1)/(1-x)**8)] }
-
-
-
-def A126923():
- x = SR.var('x')
- return { 'ogf': [((x**20+(13*x**19)+(91*x**18)+(444*x**17)+(1677*x**16)+(5187*x**15)+(13614*x**14)+(31083*x**13)+(61422*x**12)+(100561*x**11)+(126214*x**10)+(100561*x**9)+(61422*x**8)+(31083*x**7)+(13614*x**6)+(5187*x**5)+(1677*x**4)+(444*x**3)+(91*x**2)+(13*x)+1)/(x-1)**20)] }
-
-
-
-def A126924():
- x = SR.var('x')
- return { 'ogf': [((x**16+(18*x**15)+(154*x**14)+(834*x**13)+(3214*x**12)+(9402*x**11)+(21778*x**10)+(41226*x**9)+(65536*x**8)+(41226*x**7)+(21778*x**6)+(9402*x**5)+(3214*x**4)+(834*x**3)+(154*x**2)+(18*x)+1)/(x-1)**16)] }
-
-
-
-def A126925():
- x = SR.var('x')
- return { 'ogf': [((x**24+(11*x**23)+(66*x**22)+(286*x**21)+(1001*x**20)+(2996*x**19)+(7896*x**18)+(18631*x**17)+(39671*x**16)+(76046*x**15)+(128726*x**14)+(185206*x**13)+(212926*x**12)+(185206*x**11)+(128726*x**10)+(76046*x**9)+(39671*x**8)+(18631*x**7)+(7896*x**6)+(2996*x**5)+(1001*x**4)+(286*x**3)+(66*x**2)+(11*x)+1)/(x-1)**24)] }
-
-
-
-def A126926():
- x = SR.var('x')
- return { 'ogf': [((x**2+(4*x)+1)**6/(1-x)**12)] }
-
-
-
-def A126927():
- x = SR.var('x')
- return { 'ogf': [((x**24+(15*x**23)+(120*x**22)+(667*x**21)+(2865*x**20)+(10068*x**19)+(29998*x**18)+(77670*x**17)+(177966*x**16)+(363919*x**15)+(655692*x**14)+(1001649*x**13)+(1214590*x**12)+(1001649*x**11)+(655692*x**10)+(363919*x**9)+(177966*x**8)+(77670*x**7)+(29998*x**6)+(10068*x**5)+(2865*x**4)+(667*x**3)+(120*x**2)+(15*x)+1)/(x-1)**24)] }
-
-
-
-def A126928():
- x = SR.var('x')
- return { 'ogf': [((x**4+(6*x**3)+(16*x**2)+(6*x)+1)**4/(1-x)**16)] }
-
-
-
-def A126930():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-sqrt((1-(4*x**2))))/(2*x*(1+(2*x))))] }
-
-
-
-def A126931():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(6*x))+sqrt((1-(4*x**2)))))] }
-
-
-
-def A126939():
- x = SR.var('x')
- return { 'ogf': [(((x**5+(3*x**3)+x)-1)/((x**6+(3*x**5)+(3*x**4)+(7*x**3)+x**2+(2*x))-1))] }
-
-
-
-def A126940():
- x = SR.var('x')
- return { 'ogf': [(((x**5+x**4+(3*x**3)+x)-1)/((x**6+(4*x**5)+(4*x**4)+(7*x**3)+x**2+(2*x))-1))] }
-
-
-
-def A126941():
- x = SR.var('x')
- return { 'ogf': [((2*(x-1)*x*(x**2+x+1))/((x**6+(3*x**5)+(3*x**4)+(7*x**3)+x**2+(2*x))-1))] }
-
-
-
-def A126942():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**2+1))/((x**6+(3*x**5)+(3*x**4)+(7*x**3)+x**2+(2*x))-1)))] }
-
-
-
-def A126943():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x+1)*(x**2+x+2))/((x**6+(3*x**5)+(3*x**4)+(7*x**3)+x**2+(2*x))-1)))] }
-
-
-
-def A126944():
- x = SR.var('x')
- return { 'ogf': [(-((x**5+(2*x**4)+(5*x**3)+(4*x**2)+(3*x)+1)/((x**6+(3*x**5)+(3*x**4)+(7*x**3)+x**2+(2*x))-1)))] }
-
-
-
-def A126945():
- x = SR.var('x')
- return { 'ogf': [(-((x**5+(3*x**4)+(5*x**3)+(4*x**2)+(3*x)+1)/((x**6+(4*x**5)+(4*x**4)+(7*x**3)+x**2+(2*x))-1)))] }
-
-
-
-def A126946():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x**3-x**2-1))/((x**6+(4*x**5)+(4*x**4)+(7*x**3)+x**2+(2*x))-1))] }
-
-
-
-def A126947():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**2+1))/((x**6+(4*x**5)+(4*x**4)+(7*x**3)+x**2+(2*x))-1)))] }
-
-
-
-def A126948():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x**3+(3*x**2)+(2*x)+2))/((x**6+(4*x**5)+(4*x**4)+(7*x**3)+x**2+(2*x))-1)))] }
-
-
-
-def A126950():
- x = SR.var('x')
- return { 'ogf': [(((((1-(2*x))+(14*x**2))-(2*x**3))+x**4)/((1+x)*(1-x)**4))] }
-
-
-
-def A126964():
- x = SR.var('x')
- return { 'ogf': [(-((2*((7*x**2)+(5*x)))/(x-1)**3))] }
-
-
-
-def A126966():
- x = SR.var('x')
- return { 'ogf': [(sqrt((1-(4*x)))/(1-(2*x)))] }
-
-
-
-def A126972():
- x = SR.var('x')
- return { 'ogf': [((((((1-(2*x))+(2*x**2)+(3*x**3))-(6*x**4))+(4*x**5))-x**6)/(1-x)**4)] }
-
-
-
-def A127002():
- x = SR.var('x')
- return { 'ogf': [((((3*x**2)+(2*x)+1)*x**7)/(1-x**4)/(1-x**3)/(1-x**2))] }
-
-
-
-def A127146():
- x = SR.var('x')
- return { 'ogf': [((((-12)+(33*x))-(23*x**2))/((-1)+x)**3)] }
-
-
-
-def A127147():
- x = SR.var('x')
- return { 'ogf': [(-((((60*x**2)-(101*x))+43)/(x-1)**3))] }
-
-
-
-def A127148():
- x = SR.var('x')
- return { 'ogf': [((3*((((91*x**3)-(204*x**2))+(155*x))-40))/(x-1)**4)] }
-
-
-
-def A127154():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x))/(1+x+(2*x**2)+((1+x)*sqrt((1-(4*x))))))] }
-
-
-
-def A127210():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(6*x)))/(1-(3*x)-(9*x**2)))] }
-
-
-
-def A127211():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((8*x)+1))/(((16*x**2)+(4*x))-1)))] }
-
-
-
-def A127212():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*((10*x)+1))/(((25*x**2)+(5*x))-1)))] }
-
-
-
-def A127213():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((12*x)+1))/(((36*x**2)+(6*x))-1)))] }
-
-
-
-def A127214():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((12*x**2)+(4*x)+1))/(((8*x**3)+(4*x**2)+(2*x))-1)))] }
-
-
-
-def A127215():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((27*x**2)+(6*x)+1))/(((27*x**3)+(9*x**2)+(3*x))-1)))] }
-
-
-
-def A127216():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((32*x**3)+(12*x**2)+(4*x)+1))/(((16*x**4)+(8*x**3)+(4*x**2)+(2*x))-1)))] }
-
-
-
-def A127220():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((108*x**3)+(27*x**2)+(6*x)+1))/(((81*x**4)+(27*x**3)+(9*x**2)+(3*x))-1)))] }
-
-
-
-def A127221():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+(4*x)+(12*x**2)+(32*x**3)+(80*x**4)))/((-1)+(2*x)+(4*x**2)+(8*x**3)+(16*x**4)+(32*x**5))))] }
-
-
-
-def A127222():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(1+(6*x)+(27*x**2)+(108*x**3)+(405*x**4)))/((-1)+(3*x)+(9*x**2)+(27*x**3)+(81*x**4)+(243*x**5))))] }
-
-
-
-def A127261():
- x = SR.var('x')
- return { 'ogf': [((2*(x-1))/((2*x*((5*x)+1))-1))] }
-
-
-
-def A127276():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x)-1)*(x-1))/((2*x)-1)**3))] }
-
-
-
-def A127316():
- x = SR.var('x')
- return { 'ogf': [((x*((71-(140*x))+(73*x**2)))/(1-x)**3)] }
-
-
-
-def A127362():
- x = SR.var('x')
- return { 'ogf': [(1/((-1)+(2*x)+(2*sqrt((1-(4*x**2))))))] }
-
-
-
-def A127365():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x))/(1+x**2)**2))] }
-
-
-
-def A127407():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3-x**2))/(1-x)**5)] }
-
-
-
-def A127408():
- x = SR.var('x')
- return { 'ogf': [((x**3*(3-x)*(6+(8*x)+x**2))/(1-x)**7)] }
-
-
-
-def A127409():
- x = SR.var('x')
- return { 'ogf': [((x**4*((160+(310*x)+(54*x**2))-(19*x**3)-x**4))/(1-x)**9)] }
-
-
-
-def A127410():
- x = SR.var('x')
- return { 'ogf': [((x**5*((x**5+(53*x**4))-(82*x**3)-(2882*x**2)-(5295*x)-1875))/(x-1)**11)] }
-
-
-
-def A127411():
- x = SR.var('x')
- return { 'ogf': [((x**6*((x**6+(131*x**5)+(150*x**4))-(20470*x**3)-(90215*x**2)-(99981*x)-27216))/(x-1)**13)] }
-
-
-
-def A127509():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(2*x)))/(((1-(7*x))+(14*x**2))-(8*x**3)))] }
-
-
-
-def A127617():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(3*x**2))/((1-(3*x)-(5*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A127618():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x)-(5*x**2)-(2*x**3))+x**4)/((1-(4*x)-(6*x**2))+(2*x**3)))] }
-
-
-
-def A127632():
- x = SR.var('x')
- return { 'ogf': [(2/(1+sqrt(((2*sqrt((1-(4*x))))-1))))] }
-
-
-
-def A127682():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**4+x**3+x**2+x+1))/((x**6+x**4)-1)))] }
-
-
-
-def A127694():
- x = SR.var('x')
- return { 'ogf': [((5*x*(((116-(229*x))+(170*x**2))-(45*x**3)))/(1-x)**4)] }
-
-
-
-def A127736():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-(3*x)-1))/(x-1)**4))] }
-
-
-
-def A127790():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+(4*x**2)+(4*x**3)+(4*x**4)+(2*x**5))/((1-x)**2*(1-x**2)**3*(1-x**3)**4*(1-x**4))),
-((2*x)/((x-1)**10*(x+1)**2*(x**2+x+1)**4))] }
-
-
-
-def A127811():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)**10*(x+1)**2*(x**2+x+1)**4))] }
-
-
-
-def A127813():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(6*x**3)+(7*x**4)+(8*x**5)+(4*x**6))-(3*x**8)-(2*x**9)-x**10)/((1-x)**2*(1-x**2)**3*(1-x**3)**4*(1-x**4)))] }
-
-
-
-def A127825():
- x = SR.var('x')
- return { 'ogf': [(((((((((1-(2*x))+(2*x**2))-x**3)+x**4)-x**5)+(2*x**6))-(2*x**7))+x**8)/((1-x)**2*(1-x**2)*(1-x**3)*(1-x**6)))] }
-
-
-
-def A127839():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4-1))/((x**5+x**4)-1))] }
-
-
-
-def A127846():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-sqrt(((1-(10*x))+(9*x**2))))/(8*x))] }
-
-
-
-def A127848():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x)-sqrt(((1-(12*x))+(16*x**2))))/(10*x))] }
-
-
-
-def A127854():
- x = SR.var('x')
- return { 'ogf': [((x*(19+(4*x)+x**2))/(1-x)**3)] }
-
-
-
-def A127864():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(4*x**2)-(2*x**3)))] }
-
-
-
-def A127865():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x)))/((1+x)**2*(1-(2*x)-(2*x**2))**2))] }
-
-
-
-def A127866():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1+x)*(1-(2*x)-(2*x**2))**2))] }
-
-
-
-def A127867():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(3*x)-(7*x**2))+x**3)-(2*x**4)))] }
-
-
-
-def A127868():
- x = SR.var('x')
- return { 'ogf': [((3*x*((1-x)**2*(1+(6*x)+(3*x**2))))/(((1-(3*x)-(7*x**2))+x**3)-(2*x**4))**2)] }
-
-
-
-def A127869():
- x = SR.var('x')
- return { 'ogf': [((4*(x**2*(x-1))*(x**3-(3*x**2)-3))/(((1-(3*x)-(7*x**2))+x**3)-(2*x**4))**2)] }
-
-
-
-def A127870():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-(6*x**2)-(10*x**3)-(8*x**4)-(4*x**5))/((((1-(5*x)-(34*x**2)-(6*x**3))+(72*x**4)+(28*x**5))-(74*x**6))+(10*x**7)+(4*x**8)+(4*x**9)))] }
-
-
-
-def A127873():
- x = SR.var('x')
- return { 'ogf': [((x*(((8-(13*x))+(11*x**2))-(3*x**3)))/(1-x)**4)] }
-
-
-
-def A127878():
- x = SR.var('x')
- return { 'ogf': [(((((24-(55*x))+(83*x**2))-(37*x**3))+(9*x**4))/(1-x)**5)] }
-
-
-
-def A127883():
- x = SR.var('x')
- return { 'ogf': [((x*(((((163-(542*x))+(933*x**2))-(772*x**3))+(338*x**4))-(60*x**5)))/(1-x)**6)] }
-
-
-
-def A127904():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**2)))/((1-x)*(1-(2*x))))] }
-
-
-
-def A127960():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(3*x)))/(1-(3*x))**3)] }
-
-
-
-def A127961():
- x = SR.var('x')
- return { 'ogf': [(-(((90*x)-1)/((x-1)*((100*x)-1))))] }
-
-
-
-def A127968():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x-x**2))+(x/(1-x**2)))] }
-
-
-
-def A127975():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(3*x**3)))] }
-
-
-
-def A127976():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1+x)**2*(1-(2*x))**2))] }
-
-
-
-def A127978():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3-x-(4*x**2)-(2*x**3)))/((1+x)**2*(1-(2*x))**2))] }
-
-
-
-def A127979():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-(2*x**2)-(2*x**3)))/((1+x)**2*(1-(2*x))**2))] }
-
-
-
-def A127980():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-(3*x**2)))/((1-x)*(1+x)*(1-(2*x))**2))] }
-
-
-
-def A127981():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**3)))/((1-x)*(1+x)*(1-(2*x))**2))] }
-
-
-
-def A127982():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x**2)-x-1))/((1+x)*((2*x)-1)**2*(x-1)**2)))] }
-
-
-
-def A127983():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**3)))/(1+x)/(((2*x)-1)**2*(x-1)**2))] }
-
-
-
-def A127985():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**2)))/((1-(2*x))**2*(1-x**2)))] }
-
-
-
-def A127989():
- x = SR.var('x')
- return { 'ogf': [((3*x*(((3-(5*x))+(9*x**2))-(3*x**3)))/(1-x)**4)] }
-
-
-
-def A128013():
- x = SR.var('x')
- return { 'ogf': [((10*x*(1+(5*x)+(25*x**2)))/(1-(5*x))**4)] }
-
-
-
-def A128014():
- x = SR.var('x')
- return { 'ogf': [((1+x)/sqrt((1-(4*x**2))))] }
-
-
-
-def A128016():
- x = SR.var('x')
- return { 'ogf': [((1-x**4)/(((1-x-x**2)+x**3+x**4)-x**5))] }
-
-
-
-def A128043():
- x = SR.var('x')
- return { 'ogf': [((12*x*(1+(6*x)+(36*x**2)))/(1-(6*x))**4)] }
-
-
-
-def A128048():
- x = SR.var('x')
- return { 'ogf': [((16*x*(1+(8*x)+(64*x**2)))/(1-(8*x))**4)] }
-
-
-
-def A128051():
- x = SR.var('x')
- return { 'ogf': [((14*x*(1+(7*x)+(49*x**2)))/(1-(7*x))**4)] }
-
-
-
-def A128053():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((((x**10-(2*x**9)-(5*x**8))+(2*x**7)+(9*x**6)+(9*x**4)+(2*x**3))-(5*x**2)-(2*x))+1))/((x**4+(3*x**2)+1)*((((x**8-(3*x**6))+(8*x**4))-(3*x**2))+1))))] }
-
-
-
-def A128054():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**3+x**2+1))/((x-1)**2*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A128055():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(16*x**4))+(4*x**3))-(4*x**2))+x)/(((2*x)-1)*(((4*x**2)-(2*x))+1)*((4*x**2)+(2*x)+1)))] }
-
-
-
-def A128056():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(((4*x**2)-x)+1))/((16*x**4)+(12*x**2)+1)))] }
-
-
-
-def A128063():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*((4*x**2)+(2*x)+1))/(((((16*x**4)-(8*x**3))+(4*x**2))-(2*x))+1)))] }
-
-
-
-def A128074():
- x = SR.var('x')
- return { 'ogf': [((18*x*(1+(9*x)+(81*x**2)))/(1-(9*x))**4)] }
-
-
-
-def A128091():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(15*x**2)+(5*x**3)))/(1-x)**5)] }
-
-
-
-def A128096():
- x = SR.var('x')
- return { 'ogf': [((4*(1-x**2-sqrt(((1+x+x**2)*((1-(3*x))+x**2)))))/((1-x)+x**2+sqrt(((1+x+x**2)*((1-(3*x))+x**2))))**2)] }
-
-
-
-def A128098():
- x = SR.var('x')
- return { 'ogf': [((4*(1-sqrt((1-(2*x)-(3*x**2)))))/((1-x)+sqrt((1-(2*x)-(3*x**2))))**2)] }
-
-
-
-def A128102():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5-(6*x))+(3*x**2)))/((1-(2*x)-(3*x**2))+(2*x**3))**2)] }
-
-
-
-def A128135():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+(2*x**2)))/(1-(2*x))**2)] }
-
-
-
-def A128209():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/((1-(2*x)-x**2)+(2*x**3)))] }
-
-
-
-def A128214():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2))/(1+x+x**2)**2)] }
-
-
-
-def A128223():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3-(2*x**2)-(2*x)-1))/((x-1)**3*(x+1)**2))] }
-
-
-
-def A128386():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1-(12*x**2)))+(2*x))-1)/(2*x*(1-(4*x))))] }
-
-
-
-def A128387():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1-(20*x**2)))+(2*x))-1)/(2*x*(1-(6*x))))] }
-
-
-
-def A128418():
- x = SR.var('x')
- return { 'ogf': [((8*x)/(sqrt((1-(8*x)))*((sqrt((1-(8*x)))+(12*x))-1)))] }
-
-
-
-def A128422():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4)/((x-1)**3*(x**2+x+1))))] }
-
-
-
-def A128429():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x**3+x**4+(2*x**5))/((x**2+x)-1)/(1+x+x**2)/((x**2-x)+1))] }
-
-
-
-def A128445():
- x = SR.var('x')
- return { 'ogf': [(-((4*((5-(13*x))+(10*x**2)))/(x-1)**3))] }
-
-
-
-def A128470():
- x = SR.var('x')
- return { 'ogf': [((1+(29*x))/(1-x)**2)] }
-
-
-
-def A128498():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1+x**2)**4))] }
-
-
-
-def A128499():
- x = SR.var('x')
- return { 'ogf': [(-(1/((x-1)*(x**2+1)**5)))] }
-
-
-
-def A128504():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)+x**2)**3)] }
-
-
-
-def A128526():
- x = SR.var('x')
- return { 'ogf': [((((x/((1-x)*(1-x**2)**2*(1-x**3)**8))+1)-x**3-(5*x**4))+(7*x**5)+(82*x**6)+(783*x**7)+(17*x**8)+(10*x**9))] }
-
-
-
-def A128527():
- x = SR.var('x')
- return { 'ogf': [((((x/((1-x)*(1-x**2)**2*(1-x**3)**8*(1-x**4)**44))+1)-x**3-(5*x**4)-(37*x**5))+(38*x**6)+(651*x**7)+(10539*x**8)+(259303*x**9)+(548*x**10)+(416*x**11)+(286*x**12))] }
-
-
-
-def A128533():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-4)+x))/((1+x)*((x**2-(3*x))+1))))] }
-
-
-
-def A128534():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-2)+(3*x)))/((1+x)*((x**2-(3*x))+1))))] }
-
-
-
-def A128535():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(4*x)))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A128543():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-(2*x**2)))/(1-(2*x))**2)] }
-
-
-
-def A128588():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-x-x**2))] }
-
-
-
-def A128615():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+x+x**2)**2))] }
-
-
-
-def A128620():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**3)/(((1+x)-x**2)*(1-x-x**2)**2))] }
-
-
-
-def A128624():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A128652():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(6*x))+(10*x**2))-(4*x**2*sqrt((1-(4*x))))))/(1-(4*x))**2)] }
-
-
-
-def A128714():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt(((1-(6*x))+(5*x**2))))/(1+x+sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A128720():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-sqrt(((1-(2*x)-(5*x**2))+(2*x**3)+x**4)))/(2*x**2))] }
-
-
-
-def A128723():
- x = SR.var('x')
- return { 'ogf': [((3-(3*x)-sqrt(((1-(6*x))+(5*x**2))))/(1+(3*x)+sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A128730():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-(6*x))+(5*x**2)+((1+x)*sqrt(((1-(6*x))+(5*x**2))))))] }
-
-
-
-def A128732():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x-sqrt(((1-(6*x))+(5*x**2)))))/((1-(6*x))+(5*x**2)+((1+x)*sqrt(((1-(6*x))+(5*x**2))))))] }
-
-
-
-def A128743():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+x**2+((x-1)*sqrt(((1-(6*x))+(5*x**2)))))/(2*x*sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A128746():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x+sqrt(((1-(6*x))+(5*x**2)))))/((1-(3*x))+sqrt(((1-(6*x))+(5*x**2))))**2)] }
-
-
-
-def A128748():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(2*x**2)+x**3)-(((1-x)+x**2)*sqrt(((1-(6*x))+(5*x**2)))))/(2*x*(2-x)*sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A128752():
- x = SR.var('x')
- return { 'ogf': [(((1/2)*(1-(2*x))*sqrt(((1-x)/(1-(5*x)))))-(1/2))] }
-
-
-
-def A128766():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(12*x)+(93*x**2)+(208*x**3)+(93*x**4)+(12*x**5)+x**6))/(1-x)**9)] }
-
-
-
-def A128767():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**14+(384*x**13)+(125020*x**12)+(9439904*x**11)+(213777216*x**10)+(1821620108*x**9)+(6.527222787E9*x**8)+(1.009884516E10*x**7)+(6.527222787E9*x**6)+(1821620108*x**5)+(213777216*x**4)+(9439904*x**3)+(125020*x**2)+(384*x)+1))/(x-1)**17))] }
-
-
-
-def A128782():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(1+(4*x)))/((4*x)-1)**3))] }
-
-
-
-def A128784():
- x = SR.var('x')
- return { 'ogf': [(-((5*((5*x**2)+x))/((5*x)-1)**3))] }
-
-
-
-def A128785():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*(1+(6*x)))/((6*x)-1)**3))] }
-
-
-
-def A128786():
- x = SR.var('x')
- return { 'ogf': [((7*x*(1+(7*x)))/(1-(7*x))**3)] }
-
-
-
-def A128787():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+(8*x)))/(1-(8*x))**3)] }
-
-
-
-def A128788():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+(9*x)))/(1-(9*x))**3)] }
-
-
-
-def A128789():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(8*x)+(4*x**2)))/(1-(2*x))**4)] }
-
-
-
-def A128790():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(16*x)+(16*x**2)))/(1-(4*x))**4)] }
-
-
-
-def A128791():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1+(20*x)+(25*x**2)))/(1-(5*x))**4)] }
-
-
-
-def A128792():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+(24*x)+(36*x**2)))/(1-(6*x))**4)] }
-
-
-
-def A128793():
- x = SR.var('x')
- return { 'ogf': [((7*x*(1+(28*x)+(49*x**2)))/(1-(7*x))**4)] }
-
-
-
-def A128794():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+(32*x)+(64*x**2)))/(1-(8*x))**4)] }
-
-
-
-def A128796():
- x = SR.var('x')
- return { 'ogf': [((8*x**2)/(1-(2*x))**3)] }
-
-
-
-def A128797():
- x = SR.var('x')
- return { 'ogf': [((18*x**2)/(1-(3*x))**3)] }
-
-
-
-def A128798():
- x = SR.var('x')
- return { 'ogf': [((32*x**2)/(1-(4*x))**3)] }
-
-
-
-def A128799():
- x = SR.var('x')
- return { 'ogf': [((50*x**2)/(1-(5*x))**3)] }
-
-
-
-def A128800():
- x = SR.var('x')
- return { 'ogf': [((72*x**2)/(1-(6*x))**3)] }
-
-
-
-def A128801():
- x = SR.var('x')
- return { 'ogf': [((98*x**2)/(1-(7*x))**3)] }
-
-
-
-def A128802():
- x = SR.var('x')
- return { 'ogf': [(-((128*x**2)/((8*x)-1)**3))] }
-
-
-
-def A128803():
- x = SR.var('x')
- return { 'ogf': [((162*x**2)/(1-(9*x))**3)] }
-
-
-
-def A128822():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(39*x)+(30*x**2)+x**3))/(x-1)**4)] }
-
-
-
-def A128831():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**2)+(12*x)+1))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)))] }
-
-
-
-def A128832():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x)+1)*((16*x**2)+(46*x)+1))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1))))] }
-
-
-
-def A128833():
- x = SR.var('x')
- return { 'ogf': [((x*((1024*x**4)+(5760*x**3)+(2800*x**2)+(180*x)+1))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1)*((32*x)-1)))] }
-
-
-
-def A128834():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1+x**3))] }
-
-
-
-def A128865():
- x = SR.var('x')
- return { 'ogf': [((4*x*((8*x**2)+(12*x)+1))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)))] }
-
-
-
-def A128866():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*((4*x)+1)*((16*x**2)+(46*x)+1))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1))))] }
-
-
-
-def A128960():
- x = SR.var('x')
- return { 'ogf': [((24*x**2)/(1-(2*x))**4)] }
-
-
-
-def A128961():
- x = SR.var('x')
- return { 'ogf': [((54*x**2)/(1-(3*x))**4)] }
-
-
-
-def A128962():
- x = SR.var('x')
- return { 'ogf': [((96*x**2)/(1-(4*x))**4)] }
-
-
-
-def A128963():
- x = SR.var('x')
- return { 'ogf': [((150*x**2)/(1-(5*x))**4)] }
-
-
-
-def A128965():
- x = SR.var('x')
- return { 'ogf': [((294*x**2)/(1-(7*x))**4)] }
-
-
-
-def A128969():
- x = SR.var('x')
- return { 'ogf': [((486*x**2)/(1-(9*x))**4)] }
-
-
-
-def A128985():
- x = SR.var('x')
- return { 'ogf': [((16*x**2*(1+x))/(1-(2*x))**4)] }
-
-
-
-def A128988():
- x = SR.var('x')
- return { 'ogf': [((50*((5*x**2)+(2*x)))/((5*x)-1)**4)] }
-
-
-
-def A128989():
- x = SR.var('x')
- return { 'ogf': [((144*x**2*(1+(3*x)))/(1-(6*x))**4)] }
-
-
-
-def A128990():
- x = SR.var('x')
- return { 'ogf': [((98*x**2*(2+(7*x)))/(1-(7*x))**4)] }
-
-
-
-def A128991():
- x = SR.var('x')
- return { 'ogf': [((256*x**2*(1+(4*x)))/(1-(8*x))**4)] }
-
-
-
-def A128992():
- x = SR.var('x')
- return { 'ogf': [((162*x**2*(2+(9*x)))/(1-(9*x))**4)] }
-
-
-
-def A129002():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(4*x)))/(1-(2*x))**4)] }
-
-
-
-def A129003():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+(6*x)))/(1-(3*x))**4)] }
-
-
-
-def A129005():
- x = SR.var('x')
- return { 'ogf': [((10*x*(1+(10*x)))/(1-(5*x))**4)] }
-
-
-
-def A129006():
- x = SR.var('x')
- return { 'ogf': [((12*x*(1+(12*x)))/(1-(6*x))**4)] }
-
-
-
-def A129007():
- x = SR.var('x')
- return { 'ogf': [((14*x*(1+(14*x)))/(1-(7*x))**4)] }
-
-
-
-def A129008():
- x = SR.var('x')
- return { 'ogf': [((16*x*(1+(16*x)))/(1-(8*x))**4)] }
-
-
-
-def A129010():
- x = SR.var('x')
- return { 'ogf': [((x*((124+(44*x)+(19*x**2)+(156*x**3)+(56*x**4)+(196*x**5)+(29*x**6)+(291*x**7)+(37*x**8)+(308*x**9)+(112*x**10)+(396*x**11)+(59*x**12)+(148*x**13)+(524*x**14))-(108*x**15)-(32*x**16)-(13*x**17)-(92*x**18)-(28*x**19)-(84*x**20)-(11*x**21)-(97*x**22)-(11*x**23)-(84*x**24)-(28*x**25)-(92*x**26)-(13*x**27)-(32*x**28)-(108*x**29)))/((1-x)*((1-(6*x**15))+x**30)))] }
-
-
-
-def A129026():
- x = SR.var('x')
- return { 'ogf': [(-((3*(((4*x**2)-(9*x))+9))/(x-1)**5))] }
-
-
-
-def A129027():
- x = SR.var('x')
- return { 'ogf': [(-((12*x*(x**3+x**2+(5*x)+9))/(x-1)**5))] }
-
-
-
-def A129028():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(x**3+x**2+(5*x)+9))/(x-1)**5))] }
-
-
-
-def A129080():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**4-(5*x**3))+(10*x**2))-(12*x))+4))/((((x**3-(2*x**2))+(3*x))-1)*(x-1)**2)))] }
-
-
-
-def A129086():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))**2-sqrt(((1-(4*x))*(((1-(8*x))+(16*x**2))-(4*x**3)))))/(2*x*(1-(3*x))))] }
-
-
-
-def A129109():
- x = SR.var('x')
- return { 'ogf': [((7+x+(4*x**2))/(1-x)**3)] }
-
-
-
-def A129111():
- x = SR.var('x')
- return { 'ogf': [((8+(2*x)+(5*x**2))/(1-x)**3)] }
-
-
-
-def A129126():
- x = SR.var('x')
- return { 'ogf': [((x*(x-2)*(((((2*x**5)-(14*x**4))+(35*x**3))-(32*x**2)-x)+11))/(x-1)**9)] }
-
-
-
-def A129155():
- x = SR.var('x')
- return { 'ogf': [((3-(3*x)-sqrt(((1-(6*x))+(5*x**2))))/(((2+x)-sqrt((1-(4*x))))+sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A129156():
- x = SR.var('x')
- return { 'ogf': [(((3-(3*x)-sqrt(((1-(6*x))+(5*x**2))))*(1-sqrt((1-(4*x)))))/(1+x+sqrt(((1-(6*x))+(5*x**2))))**2)] }
-
-
-
-def A129158():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))+(3*(1-x)*sqrt((1-(4*x)))))-(3*sqrt(((1-(6*x))+(5*x**2))))-sqrt(((1-(4*x))*((1-(6*x))+(5*x**2)))))/(1+x+sqrt(((1-(6*x))+(5*x**2))))**2)] }
-
-
-
-def A129160():
- x = SR.var('x')
- return { 'ogf': [((x-1)+(((1-(3*x))+(2*x**2))/sqrt(((1-(6*x))+(5*x**2)))))] }
-
-
-
-def A129164():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt(((1-(6*x))+(5*x**2))))-(1/(1-x)))/2)] }
-
-
-
-def A129166():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(3-(3*x)-sqrt(((1-(6*x))+(5*x**2)))))/(2-((1-x)*(1-x-sqrt(((1-(6*x))+(5*x**2)))))))] }
-
-
-
-def A129167():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt(((1-(6*x))+(5*x**2))))/(x*(3-(3*x)-sqrt(((1-(6*x))+(5*x**2))))))] }
-
-
-
-def A129169():
- x = SR.var('x')
- return { 'ogf': [((2*(2-x)*(1-(3*x)-sqrt(((1-(6*x))+(5*x**2)))))/(1+x+sqrt(((1-(6*x))+(5*x**2))))**2)] }
-
-
-
-def A129171():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(3*x)-sqrt(((1-(6*x))+(5*x**2)))))/((1-(6*x))+(5*x**2))/2)] }
-
-
-
-def A129173():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-(3*x)-sqrt(((1-(6*x))+(5*x**2)))))/(2*x*(1-(5*x))))] }
-
-
-
-def A129194():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(6*x**2)+(2*x**3)+x**4))/(1-x**2)**3)] }
-
-
-
-def A129197():
- x = SR.var('x')
- return { 'ogf': [((12+(3*x)+(4*x**2)+(3*x**3)+(12*x**4)+x**5)/(1-x**6))] }
-
-
-
-def A129202():
- x = SR.var('x')
- return { 'ogf': [(-((x**16+(2*x**15)+(3*x**14)+(8*x**13)+(25*x**12)+(6*x**11)+(46*x**10)+(26*x**9)+(18*x**8)+(26*x**7)+(46*x**6)+(6*x**5)+(25*x**4)+(8*x**3)+(3*x**2)+(2*x)+1)/((x-1)**3*(x+1)**3*((x**2-x)+1)**3*(x**2+x+1)**3)))] }
-
-
-
-def A129203():
- x = SR.var('x')
- return { 'ogf': [((6+(3*x)+(2*x**2)+(3*x**3)+(6*x**4)+x**5)/(1-x**6))] }
-
-
-
-def A129288():
- x = SR.var('x')
- return { 'ogf': [((x*((36+(3*x)+(84*x**2))-(20*x**3)-x**4-(20*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129289():
- x = SR.var('x')
- return { 'ogf': [((x*((44+(51*x)+(124*x**2))-(28*x**3)-(17*x**4)-(28*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129298():
- x = SR.var('x')
- return { 'ogf': [((x*((51+(69*x)+(147*x**2))-(33*x**3)-(23*x**4)-(33*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129339():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**3)/((1-(2*x))*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A129361():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((1-x)+x**2))/((1-x-x**2)*(1-x**2-x**4)))] }
-
-
-
-def A129362():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**3))/((1-x-(2*x**2))*(1-x**2-(2*x**4))))] }
-
-
-
-def A129366():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1-(4*x**2)))-sqrt((1-(4*x))))/(2*x*(1-x)))] }
-
-
-
-def A129368():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))*((1/sqrt((1-(4*x))))-(x/sqrt((1-(4*x**2))))))] }
-
-
-
-def A129371():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(5*x**2)+(4*x**3)))/((1-x)*(1-x**2)**3))] }
-
-
-
-def A129383():
- x = SR.var('x')
- return { 'ogf': [((2/((1-(2*x))+sqrt((1-(4*x**2)))))-((2*x)/((1-(2*x**2))+sqrt((1-(4*x**4))))))] }
-
-
-
-def A129400():
- x = SR.var('x')
- return { 'ogf': [((1/(8*x**2))*(1-(2*x)-(1-(4*x)-(12*x**2))**(1/2)))] }
-
-
-
-def A129428():
- x = SR.var('x')
- return { 'ogf': [(-((x**2+(45*x)+1)/(x-1)**3))] }
-
-
-
-def A129441():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2-x**3))/((1+x+x**2)*((x**4-x**3-x**2-(2*x))+1)))] }
-
-
-
-def A129443():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x**2)-(8*x**3))/((1+(2*x)+(4*x**2))*((4*x)-1)*((4*x**3)-x-1)))] }
-
-
-
-def A129444():
- x = SR.var('x')
- return { 'ogf': [(((x+x**2)-(5*x**3)-x**4)/((1-x)*((1-(10*x**2))+x**4)))] }
-
-
-
-def A129445():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(3*x)+x**2))/((1-(10*x**2))+x**4))] }
-
-
-
-def A129507():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-sqrt((((1+(2*x)+(3*x**2))-(2*x**3))+x**4)))*2),
-((2+(2*x)+(2*x**2))-(2*sqrt((((1+(2*x)+(3*x**2))-(2*x**3))+x**4))))] }
-
-
-
-def A129509():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-sqrt((((1+(2*x)+(3*x**2))-(2*x**3))+x**4)))/2)] }
-
-
-
-def A129530():
- x = SR.var('x')
- return { 'ogf': [((3*x**2)/(1-(3*x))**3)] }
-
-
-
-def A129532():
- x = SR.var('x')
- return { 'ogf': [((6*x**2)/(1-(4*x))**3)] }
-
-
-
-def A129544():
- x = SR.var('x')
- return { 'ogf': [((x*((115+(21*x)+(275*x**2))-(65*x**3)-(7*x**4)-(65*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129556():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**3+(2*x**2))-(19*x)-2))/((x-1)*(x**2-(6*x)-1)*((x**2+(6*x))-1)))] }
-
-
-
-def A129557():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(5*x)+x**2))/(((1+(6*x))-x**2)*(1-(6*x)-x**2)))] }
-
-
-
-def A129617():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x))/((-1)+(16*x**2)+(14*x**3))))] }
-
-
-
-def A129625():
- x = SR.var('x')
- return { 'ogf': [((x*((75+(357*x)+(267*x**2))-(57*x**3)-(119*x**4)-(57*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129626():
- x = SR.var('x')
- return { 'ogf': [((x*((76+(483*x)+(284*x**2))-(60*x**3)-(161*x**4)-(60*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129638():
- x = SR.var('x')
- return { 'ogf': [(-((x**11*((((6*x**5)+(21*x**4))-(24*x**3)-(36*x**2))+(10*x)+11))/((((x**6+(3*x**5))-(6*x**4)-(4*x**3))+(5*x**2)+x)-1)))] }
-
-
-
-def A129639():
- x = SR.var('x')
- return { 'ogf': [((2*x**12*((6+(11*x))-(4*x**2)-(7*x**3)))/((1-(4*x**2))+(2*x**4)))] }
-
-
-
-def A129640():
- x = SR.var('x')
- return { 'ogf': [((x*((155+(309*x)+(475*x**2))-(105*x**3)-(103*x**4)-(105*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129641():
- x = SR.var('x')
- return { 'ogf': [((x*((200+(411*x)+(616*x**2))-(136*x**3)-(137*x**4)-(136*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129642():
- x = SR.var('x')
- return { 'ogf': [((x*((348+(147*x)+(876*x**2))-(204*x**3)-(49*x**4)-(204*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129682():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(((1-(2*x**3))+x**4)-x**5))/((1-x)*(1-x-x**2-(2*x**3)-x**5))))] }
-
-
-
-def A129696():
- x = SR.var('x')
- return { 'ogf': [(-(x/((1+x)*((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A129704():
- x = SR.var('x')
- return { 'ogf': [(1/(((((x**5-(2*x**4))+x**3)-(2*x**2))+x)-1))] }
-
-
-
-def A129707():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/(1-x-x**2)**3)] }
-
-
-
-def A129715():
- x = SR.var('x')
- return { 'ogf': [((x*((2+x)-x**2-x**3))/(1-x-x**2)**2)] }
-
-
-
-def A129720():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2))/((1-x-x**2)**2*((1+x)-x**2)))] }
-
-
-
-def A129722():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((1+x)-x**2)*(1-x-x**2)**2))] }
-
-
-
-def A129725():
- x = SR.var('x')
- return { 'ogf': [((x*((100+(1059*x)+(404*x**2))-(84*x**3)-(353*x**4)-(84*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129728():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)+x**2)-1))/((x-1)**2*((x**2+x)-1)))] }
-
-
-
-def A129756():
- x = SR.var('x')
- return { 'ogf': [((1+x**4)/((-1)+x)**2/(1+x)/(x**2+1))] }
-
-
-
-def A129762():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5-(7*x**3))+(13*x**2)+(4*x)+1))/((x-1)*((x**2-(3*x))+1)*((x**2+x)-1)*((x**2+(4*x))-1))))] }
-
-
-
-def A129776():
- x = SR.var('x')
- return { 'ogf': [(((((((3*x**6)+x**5)-(5*x**4))+(7*x**3))-(5*x**2))+x)/((((((-(3*x**6))+(4*x**5)+(8*x**4))-(14*x**3))+(15*x**2))-(7*x))+1))] }
-
-
-
-def A129777():
- x = SR.var('x')
- return { 'ogf': [(((((((-x**7)-(2*x**6))+(2*x**5)+x**4)-(3*x**3))+(4*x**2))-x)/(((((x**7-x**6-(8*x**5))+x**4+(3*x**3))-(9*x**2))+(6*x))-1))] }
-
-
-
-def A129819():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**2+x**3))/((1-x)**3*(1+x)**2*(1+x**2)))] }
-
-
-
-def A129836():
- x = SR.var('x')
- return { 'ogf': [((x*((15+(213*x)+(63*x**2))-(13*x**3)-(71*x**4)-(13*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129837():
- x = SR.var('x')
- return { 'ogf': [((x*((24+(25*x)+(8*x**2)+(28*x**3)+(51*x**4)+(44*x**5)+(16*x**6)+(65*x**7)+(96*x**8))-(20*x**9)-(15*x**10)-(4*x**11)-(12*x**12)-(17*x**13)-(12*x**14)-(4*x**15)-(15*x**16)-(20*x**17)))/((1-x)*((1-(6*x**9))+x**18)))] }
-
-
-
-def A129839():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+(11*x))-(36*x**2)-(36*x**3)))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))*(1-(6*x))*(1-(9*x))))] }
-
-
-
-def A129857():
- x = SR.var('x')
- return { 'ogf': [((x*((235+(1461*x)+(875*x**2))-(185*x**3)-(487*x**4)-(185*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129863():
- x = SR.var('x')
- return { 'ogf': [((3*x*(2+x**2))/(1-x)**3)] }
-
-
-
-def A129868():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(8*x)))/(((1-(7*x))+(14*x**2))-(8*x**3)))] }
-
-
-
-def A129869():
- x = SR.var('x')
- return { 'ogf': [(((x**2*(((sqrt((1-(4*x)))*((2*x)+1))-(4*x))+1))/((((sqrt((1-(4*x)))*(((4*x**2)-(5*x))+1))+(12*x**2))-(7*x))+1))-x)] }
-
-
-
-def A129889():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(2*x))-x**2))/(1-x**2)**3)] }
-
-
-
-def A129891():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3-x)+1)/(((x**4-(2*x**2))+(3*x))-1)))] }
-
-
-
-def A129895():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**7-x**6-x**5)+x**4+x**3)-x**2)+1))/((x-1)**3*(x+1)*(x**4+1))))] }
-
-
-
-def A129905():
- x = SR.var('x')
- return { 'ogf': [((((2*x)+1)*(1-x))/((x+1)*((x**2-(3*x))+1)))] }
-
-
-
-def A129929():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*(x-1)**2)/(((2*x)-1)*((((x**4-(2*x**3))+(4*x**2))-(3*x))+1))))] }
-
-
-
-def A129936():
- x = SR.var('x')
- return { 'ogf': [((((x**3-(4*x**2))+(6*x))-2)/(x-1)**4)] }
-
-
-
-def A129939():
- x = SR.var('x')
- return { 'ogf': [((((-12)+(18*x**4)+(35*x**3)+(30*x**2))-(9*x))/((-1)+x**5+x**4+x**3+x**2+x))] }
-
-
-
-def A129952():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(2*x**2)+(2*x**3))/(1-(2*x))**2)] }
-
-
-
-def A129953():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**2)))/(1-(2*x))**2)] }
-
-
-
-def A129954():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(2*x**2)))/(1-(2*x))**2)] }
-
-
-
-def A129955():
- x = SR.var('x')
- return { 'ogf': [((((2-(5*x))+(4*x**2))-(2*x**3))/(1-(2*x))**2)] }
-
-
-
-def A129957():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(8*x**2)+(4*x**3)+x**4)/((1-x)**4*(1+x)))] }
-
-
-
-def A129959():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(7*x**2)+(4*x**3)+(2*x**4))/((1-x)**4*(1+x)))] }
-
-
-
-def A129961():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**4)/((1-(2*x))*((((1-(4*x))+(6*x**2))-(4*x**3))+(2*x**4))))] }
-
-
-
-def A129966():
- x = SR.var('x')
- return { 'ogf': [((-(x**2*(x**2+1)*(((x**8+(2*x**7)+(11*x**6)+(4*x**5))-(4*x**4))+(4*x**3)+(11*x**2)+(2*x)+1)))/((1+x)**2*(1+x+x**2)**2*((x**2-x)+1)**2*(x-1)**3))] }
-
-
-
-def A129973():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x-x**2)*(1-x**2-x**3)))] }
-
-
-
-def A129974():
- x = SR.var('x')
- return { 'ogf': [((x*((627+(501*x)+(1683*x**2))-(385*x**3)-(167*x**4)-(385*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129975():
- x = SR.var('x')
- return { 'ogf': [((x*((132+(2163*x)+(564*x**2))-(116*x**3)-(721*x**4)-(116*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129982():
- x = SR.var('x')
- return { 'ogf': [((((1-x**2)+x**3)-x**4-x**5)/((1-(2*x**2))+x**6))] }
-
-
-
-def A129991():
- x = SR.var('x')
- return { 'ogf': [((x*((23+(597*x)+(103*x**2))-(21*x**3)-(199*x**4)-(21*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129992():
- x = SR.var('x')
- return { 'ogf': [((x*((17+(291*x)+(73*x**2))-(15*x**3)-(97*x**4)-(15*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129993():
- x = SR.var('x')
- return { 'ogf': [((x*((21+(483*x)+(93*x**2))-(19*x**3)-(161*x**4)-(19*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A129995():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(165*x**2)+(2970*x**3)+(22480*x**4)+(55969*x**5)+(51511*x**6)+(16490*x**7)+(1595*x**8)+(25*x**9))/(1-x)**11),
-(-((1+(x*((-6)+(x*(165+(x*(2970+(x*(22480+(x*(55969+(x*(51511+(5*x*(3298+(x*(319+(5*x))))))))))))))))))/(x-1)**11))] }
-
-
-
-def A129999():
- x = SR.var('x')
- return { 'ogf': [((x*((27+(861*x)+(123*x**2))-(25*x**3)-(287*x**4)-(25*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130004():
- x = SR.var('x')
- return { 'ogf': [((x*((31+(1173*x)+(143*x**2))-(29*x**3)-(391*x**4)-(29*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130005():
- x = SR.var('x')
- return { 'ogf': [((x*((35+(1533*x)+(163*x**2))-(33*x**3)-(511*x**4)-(33*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130013():
- x = SR.var('x')
- return { 'ogf': [((x*((37+(1731*x)+(173*x**2))-(35*x**3)-(577*x**4)-(35*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130014():
- x = SR.var('x')
- return { 'ogf': [((x*((43+(2397*x)+(203*x**2))-(41*x**3)-(799*x**4)-(41*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130017():
- x = SR.var('x')
- return { 'ogf': [((x*((45+(2643*x)+(213*x**2))-(43*x**3)-(881*x**4)-(43*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130102():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))-((2*x**3)/(((2*x)-1)*(x-1)**2)))] }
-
-
-
-def A130103():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(3*x))+(5*x**2))-(2*x**3)))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A130129():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((2*x)-1)**2)] }
-
-
-
-def A130130():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x))] }
-
-
-
-def A130137():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**3)/(((1-x-x**2)+x**3)-x**4))] }
-
-
-
-def A130145():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)**6*(x+1)*(x**2+x+1)**2))] }
-
-
-
-def A130151():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1+x)/((x**2-x)+1)),
-(1/(1-(x/(1+((2*x**2)/(1+(x/(1+(x/(1-x))))))))))] }
-
-
-
-def A130195():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)**2)/((x-1)*(x**2+1)**2)))] }
-
-
-
-def A130196():
- x = SR.var('x')
- return { 'ogf': [(-((1+(2*x)+(2*x**2))/(x-1)/(x**2+x+1)))] }
-
-
-
-def A130205():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(3*x**2))-(3*x**3))+x**4))/(1+x+x**2)/(1-x)**3)] }
-
-
-
-def A130213():
- x = SR.var('x')
- return { 'ogf': [((12*x**2)/(((3*x)-1)*((27*x)-1)))] }
-
-
-
-def A130214():
- x = SR.var('x')
- return { 'ogf': [((60*x**2)/(((5*x)-1)*((125*x)-1)))] }
-
-
-
-def A130215():
- x = SR.var('x')
- return { 'ogf': [((168*x**2)/(((7*x)-1)*((343*x)-1)))] }
-
-
-
-def A130216():
- x = SR.var('x')
- return { 'ogf': [(-((((((3*x**8)-(2*x**7))+x**4)-(2*x))+3)/(((((x**9-(2*x**8))+x**7)-x**2)+(2*x))-1)))] }
-
-
-
-def A130218():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**3-(5*x**2))+(2*x))-1))/(x-1)**5)] }
-
-
-
-def A130404():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-x**2)+x**3))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A130423():
- x = SR.var('x')
- return { 'ogf': [((x*((4-(2*x))+(7*x**2)))/(1-x)**4)] }
-
-
-
-def A130424():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(10*x)+(15*x**2))-x**4))/(1-x)**5)] }
-
-
-
-def A130472():
- x = SR.var('x')
- return { 'ogf': [(x/((x-1)*(1+x)**2))] }
-
-
-
-def A130483():
- x = SR.var('x')
- return { 'ogf': [(((4*x**4)+(3*x**3)+(2*x**2)+x)/((1-x**5)*(1-x)))] }
-
-
-
-def A130518():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x**3)*(1-x)**2))] }
-
-
-
-def A130519():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x**4)*(1-x)**2))] }
-
-
-
-def A130520():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-x**5)*(1-x)**2))] }
-
-
-
-def A130566():
- x = SR.var('x')
- return { 'ogf': [((1+(44*x))/(1-x)**4)] }
-
-
-
-def A130608():
- x = SR.var('x')
- return { 'ogf': [((x*((28+(357*x)+(116*x**2))-(24*x**3)-(119*x**4)-(24*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130609():
- x = SR.var('x')
- return { 'ogf': [((x*((32+(501*x)+(136*x**2))-(28*x**3)-(167*x**4)-(28*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130610():
- x = SR.var('x')
- return { 'ogf': [((x*((40+(861*x)+(176*x**2))-(36*x**3)-(287*x**4)-(36*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130612():
- x = SR.var('x')
- return { 'ogf': [((1/(3-(3000*x)))+(1/(2-(200*x)))+(1/(6-(60*x))))] }
-
-
-
-def A130624():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-(2*x))*((1-x)+x**2)))] }
-
-
-
-def A130625():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+(2*x)))/((1-(2*x))*((1-x)+x**2)))] }
-
-
-
-def A130626():
- x = SR.var('x')
- return { 'ogf': [(((3-(6*x))+(4*x**2))/((1-(2*x))*((1-x)+x**2)))] }
-
-
-
-def A130630():
- x = SR.var('x')
- return { 'ogf': [(-((1+x+x**2+x**3+x**4)/((x-1)*(1+x+x**2)*(x**6+x**3+1))))] }
-
-
-
-def A130645():
- x = SR.var('x')
- return { 'ogf': [((x*((44+(1077*x)+(196*x**2))-(40*x**3)-(359*x**4)-(40*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130646():
- x = SR.var('x')
- return { 'ogf': [((x*((56+(1869*x)+(256*x**2))-(52*x**3)-(623*x**4)-(52*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130647():
- x = SR.var('x')
- return { 'ogf': [((x*((60+(2181*x)+(276*x**2))-(56*x**3)-(727*x**4)-(56*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A130651():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((3*x)-1))/(((2*x)-1)**3*((4*x)-1)**2*((6*x)-1))))] }
-
-
-
-def A130656():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(11*x**2)+(5*x**3)+(4*x**4)))/((1-x)**4*(1+x)**3))] }
-
-
-
-def A130657():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*(1+x**2))/((x-1)*(1+x+x**2+x**3+x**4+x**5+x**6))))] }
-
-
-
-def A130658():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x**2))/((x-1)*(1+x**2)))] }
-
-
-
-def A130659():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(4*x**2)))/(1-x**4))] }
-
-
-
-def A130662():
- x = SR.var('x')
- return { 'ogf': [(-((x**10*(((((((((((2090188800*x**10)-(5.07534336E9*x**9))+(5.480510976E9*x**8))-(3.456747648E9*x**7))+(1407037152*x**6))-(385459712*x**5))+(71872912*x**4))-(8997896*x**3))+(723346*x**2))-(33704*x))+691))/(((12*x)-1)*((10*x)-1)**2*((8*x)-1)**3*((6*x)-1)**4*((4*x)-1)**5*((2*x)-1)**6)))] }
-
-
-
-def A130663():
- x = SR.var('x')
- return { 'ogf': [(-((x**12*((((((((((((((((2.64868724736E14*x**15)-(8.918393683968E14*x**14))+(1.38728967929856E15*x**13))-(1.320505755697152E15*x**12))+(8.59006229078016E14*x**11))-(4.04049277108224E14*x**10))+(1.41829511625984E14*x**9))-(3.7804275799552E13*x**8))+(7.710418349056E12*x**7))-(1.202843456128E12*x**6))+(1.42319143104E11*x**5))-(1.2540195936E10*x**4))+(796479552*x**3))-(34424192*x**2))+(905327*x))-10922))/(((14*x)-1)*((12*x)-1)**2*((10*x)-1)**3*((8*x)-1)**4*((6*x)-1)**5*((4*x)-1)**6*((2*x)-1)**7)))] }
-
-
-
-def A130668():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(3*x)+(4*x**2)+(3*x**3))*x**2)/((1+(2*x)+(2*x**2))*(1+(2*x))**2))] }
-
-
-
-def A130672():
- x = SR.var('x')
- return { 'ogf': [(-((x**14*((((((((((((((((((((((2.2213374521219482E21*x**21)-(9.760477616069935E21*x**20))+(2.0244234430012038E22*x**19))-(2.633522239383093E22*x**18))+(2.408492419571938E22*x**17))-(1.645423457595894E22*x**16))+(8.711075299942449E21*x**15))-(3.6595331174437256E21*x**14))+(1.2392828392729527E21*x**13))-(3.418046018488287E20*x**12))+(7.726055449648552E19*x**11))-(1.435401559969569E19*x**10))+(2.19167906607160525E18*x**9))-(2.74160452802404096E17*x**8))+(2.7914643037454336E16*x**7))-(2.289010376895744E15*x**6))+(1.48747438841728E14*x**5))-(7.477026915152E12*x**4))+(2.8008841744E11*x**3))-(7.353576584E9*x**2))+(120623248*x))-929569))/(((16*x)-1)*((14*x)-1)**2*((12*x)-1)**3*((10*x)-1)**4*((8*x)-1)**5*((6*x)-1)**6*((4*x)-1)**7*((2*x)-1)**8)))] }
-
-
-
-def A130707():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+x**2)/((2*x)-1)/((x**2-x)+1))] }
-
-
-
-def A130713():
- x = SR.var('x')
- return { 'ogf': [(1+(2*x)+x**2)] }
-
-
-
-def A130716():
- x = SR.var('x')
- return { 'ogf': [((1-x**3)/(1-x))] }
-
-
-
-def A130731():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-x**4))] }
-
-
-
-def A130750():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/((1-(2*x))*((1-x)+x**2)))] }
-
-
-
-def A130752():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-(2*x))*((1-x)+x**2)))] }
-
-
-
-def A130755():
- x = SR.var('x')
- return { 'ogf': [(((3-(5*x))+(4*x**2))/((1-(2*x))*((1-x)+x**2)))] }
-
-
-
-def A130779():
- x = SR.var('x')
- return { 'ogf': [(1+x+(2*x**2))] }
-
-
-
-def A130781():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(((1-(3*x))+(3*x**2))-(2*x**3)))] }
-
-
-
-def A130783():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((1-(2*x))/(1+(2*x)))))/(2*(1-(2*x))**2))] }
-
-
-
-def A130794():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(3*x**2))/((x-1)*(1+x+x**2)))] }
-
-
-
-def A130806():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-x)+x**2))] }
-
-
-
-def A130809():
- x = SR.var('x')
- return { 'ogf': [((8*x**3)/(1-x)**4)] }
-
-
-
-def A130810():
- x = SR.var('x')
- return { 'ogf': [((16*x**4)/(1-x)**5)] }
-
-
-
-def A130811():
- x = SR.var('x')
- return { 'ogf': [((32*x**5)/(1-x)**6)] }
-
-
-
-def A130812():
- x = SR.var('x')
- return { 'ogf': [((64*x**6)/(1-x)**7)] }
-
-
-
-def A130813():
- x = SR.var('x')
- return { 'ogf': [((128*x**7)/(1-x)**8)] }
-
-
-
-def A130815():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-x)+x**2))] }
-
-
-
-def A130823():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3))/((1-x)*(1-x**3)))] }
-
-
-
-def A130844():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((4*x**2)-x)+3))/((x+1)*(((x**3-(2*x**2))+(3*x))-1))))] }
-
-
-
-def A130848():
- x = SR.var('x')
- return { 'ogf': [((2+(3*x))/((1-x)+x**2))] }
-
-
-
-def A130857():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x-3))/((-1)+x)**6))] }
-
-
-
-def A130861():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-9)+(5*x)))/((-1)+x)**3)] }
-
-
-
-def A130862():
- x = SR.var('x')
- return { 'ogf': [((x**2*((30-(35*x))+(11*x**2)))/((-1)+x)**4)] }
-
-
-
-def A130863():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-30)+(50*x))-(31*x**2))+(7*x**3)))/((-1)+x)**5)] }
-
-
-
-def A130875():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**9)+(7*x**8)+x**7+(3*x**6)+x**5+x**4+(3*x**3)+x**2+(7*x)+1))/((x-1)*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A130884():
- x = SR.var('x')
- return { 'ogf': [((1+(13*x**2)+x**3+(3*x))/((-1)+x)**4)] }
-
-
-
-def A130885():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(13*x)+(3*x**2)+x**3))/((-1)+x)**4)] }
-
-
-
-def A130886():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(54*x**2)+(32*x**3)+(3*x**4))/(1-x)**5)] }
-
-
-
-def A130902():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((-1)-(3*x))+x**2+x**3)-x**4)+x**5+x**6))/(((2*x)-1)*(((x**10+x**7)-(2*x**5)-x**4-x**2-x)+1)))] }
-
-
-
-def A130910():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)+(6*x**5)+(7*x**6)+(8*x**7)+(9*x**8)+(10*x**9)+(11*x**10)+(12*x**11)+(13*x**12)+(14*x**13)+(15*x**14)))/((1+x)*(1+x**2)*(1+x**4)*(1+x**8)*(x-1)**2))] }
-
-
-
-def A130917():
- x = SR.var('x')
- return { 'ogf': [((x*((((5*x**5)+x**4+(2*x**3)+x**2)-x)+1))/((x-1)**2*(x+1)*((x**2-x)+1)))] }
-
-
-
-def A130974():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**3)+1)/(x-1)/(1+x)/((x**2-x)+1)))] }
-
-
-
-def A130976():
- x = SR.var('x')
- return { 'ogf': [(8/(3+(5*sqrt((1-(16*x))))))] }
-
-
-
-def A130977():
- x = SR.var('x')
- return { 'ogf': [(5/(2+(3*sqrt((1-(20*x))))))] }
-
-
-
-def A130978():
- x = SR.var('x')
- return { 'ogf': [(12/(5+(7*sqrt((1-(24*x))))))] }
-
-
-
-def A130979():
- x = SR.var('x')
- return { 'ogf': [(7/(3+(4*sqrt((1-(28*x))))))] }
-
-
-
-def A130980():
- x = SR.var('x')
- return { 'ogf': [(16/(7+(9*sqrt((1-(32*x))))))] }
-
-
-
-def A131015():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x**2))-x**3-x**5)+(4*x**6))/((1-x)*(1+x**2)*((1-x**2)+x**4)))] }
-
-
-
-def A131023():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(2*x**2)+x**3))/((1-(2*x))*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A131024():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(3*x))+(3*x**2))-(3*x**3))+(6*x**4))-(4*x**5))+x**6)/((1-x)*(1+x)*(1-(2*x))*((1-x)+x**2)*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A131025():
- x = SR.var('x')
- return { 'ogf': [(((((1-(3*x**2))+(2*x**4)+(2*x**6))-(2*x**8))+x**9)/((1-x)*(1+x)*((1-x)+x**2)*(1-(2*x**2))*((1-(3*x**2))+(3*x**4))))] }
-
-
-
-def A131026():
- x = SR.var('x')
- return { 'ogf': [(((2-(2*x))+x**2)/((1-x)*((1-x)+x**2)))] }
-
-
-
-def A131027():
- x = SR.var('x')
- return { 'ogf': [(((4-(5*x))+(3*x**2))/((1-x)*((1-x)+x**2)))] }
-
-
-
-def A131028():
- x = SR.var('x')
- return { 'ogf': [(((7-(10*x))+(7*x**2))/((1-x)*((1-x)+x**2)))] }
-
-
-
-def A131029():
- x = SR.var('x')
- return { 'ogf': [(((11-(17*x))+(14*x**2))/((1-x)*((1-x)+x**2)))] }
-
-
-
-def A131030():
- x = SR.var('x')
- return { 'ogf': [(((16-(25*x))+(25*x**2))/((1-x)*((1-x)+x**2)))] }
-
-
-
-def A131040():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(((3*x**2)+1)-x))] }
-
-
-
-def A131041():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**3))/((1-(2*x))+x**2+x**4))] }
-
-
-
-def A131055():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-x**2)+x+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A131056():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**3)))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A131064():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(5*x**2))/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A131066():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(6*x**2))/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A131068():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(7*x**2))/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A131075():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(6*x**2))-(5*x**3))+(3*x**4))/((1-(2*x))*((((1-(4*x))+(6*x**2))-(4*x**3))+(2*x**4))))] }
-
-
-
-def A131077():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(4*x**2))+(6*x**4))-x**5-(4*x**6))+(3*x**7)+x**8)-(3*x**9))+x**10+(2*x**11))-x**12)/((1-x)*(1-(2*x**2))*(1+x**4)*((((1-(4*x**2))+(6*x**4))-(4*x**6))+(2*x**8))))] }
-
-
-
-def A131078():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1+x**4)))] }
-
-
-
-def A131079():
- x = SR.var('x')
- return { 'ogf': [(((2-x**3)+x**4)/((1-x)*(1+x**4)))] }
-
-
-
-def A131080():
- x = SR.var('x')
- return { 'ogf': [(((4-x**2-(2*x**3))+(3*x**4))/((1-x)*(1+x**4)))] }
-
-
-
-def A131081():
- x = SR.var('x')
- return { 'ogf': [(((8-x-(3*x**2)-(3*x**3))+(7*x**4))/((1-x)*(1+x**4)))] }
-
-
-
-def A131082():
- x = SR.var('x')
- return { 'ogf': [(((15-(4*x)-(6*x**2)-(4*x**3))+(15*x**4))/((1-x)*(1+x**4)))] }
-
-
-
-def A131083():
- x = SR.var('x')
- return { 'ogf': [(((26-(10*x)-(10*x**2)-(4*x**3))+(30*x**4))/((1-x)*(1+x**4)))] }
-
-
-
-def A131090():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)**2*x)/((x+1)*((2*x)-1)*((x**2-x)+1))))] }
-
-
-
-def A131093():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**4+(3*x**3)+(6*x**2)+(3*x)+1))/((x**6-(10*x**3))+1)))] }
-
-
-
-def A131118():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x**2+x**3+(2*x)))/((x-1)*(x**2+1)**2*(1+x)**3)))] }
-
-
-
-def A131128():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(4*x**2))/((1-x)*(1-(2*x))))] }
-
-
-
-def A131130():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(6*x**2))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A131176():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)+(5*x))-(7*x**2))+(16*x**3))-(2*x**4))+x**5)/((-1)+x)**6)] }
-
-
-
-def A131179():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(2*x))-x**2)+(2*x**3)))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A131185():
- x = SR.var('x')
- return { 'ogf': [((x*((2-x-x**3)+(3*x**4)))/((1-x)*(1+x)*(1+x+x**2)*((1-x)+x**2)))] }
-
-
-
-def A131189():
- x = SR.var('x')
- return { 'ogf': [((x*((12*x**6)+(7*x**5)+(7*x**4)+(7*x**3)+(7*x**2)+(7*x)+2))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A131193():
- x = SR.var('x')
- return { 'ogf': [(((x-1)**2*x)/(x+1)/((x**2-x)+1)/(x**2+x+1))] }
-
-
-
-def A131211():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)+(5*x))-(9*x**2))+(12*x**3))-(4*x**4))+x**5)/((-1)+x)**6)] }
-
-
-
-def A131215():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(207*x)+x**2))/((1-x)*((1-(398*x))+x**2)))] }
-
-
-
-def A131229():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(3*x**2)))/(((-1)+x)**2*(1+x)))] }
-
-
-
-def A131242():
- x = SR.var('x')
- return { 'ogf': [(x**10/((1-x**10)*(1-x)**2))] }
-
-
-
-def A131244():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**3-(2*x**2))/((1-(2*x)-(2*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A131246():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*(x**2-x-1))/((1-x-(3*x**2))+x**3+x**4)))] }
-
-
-
-def A131269():
- x = SR.var('x')
- return { 'ogf': [(((1-x-x**2)+(2*x**3))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A131283():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((-1)-(2*x)-(3*x**2))+x**6+x**7+x**3+(2*x**5)))/(((2*x)-1)*(((x**10+x**8)-(2*x**5)-x**3-x)+1)))] }
-
-
-
-def A131292():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**3)-x**2-x)+1)*(1+x)**2)/((1-(3*x**2))+(3*x**4)))] }
-
-
-
-def A131298():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-x-x**2)*(1-x**2-x**3)))] }
-
-
-
-def A131300():
- x = SR.var('x')
- return { 'ogf': [(((1-x-x**2)+(3*x**3))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A131322():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-x-(3*x**2))+x**3+x**4))] }
-
-
-
-def A131326():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/((x-1)*(1+x)*((x**2+x)-1)))] }
-
-
-
-def A131328():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-x**2)/((x-1)*(1+x)*((x**2+x)-1)))] }
-
-
-
-def A131355():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x**3)+(2*x**4))-(2*x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A131370():
- x = SR.var('x')
- return { 'ogf': [(-(((3-(7*x))+(3*x**2))/((2*x)-1)/((x**2-x)+1)))] }
-
-
-
-def A131379():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x**2)-x**3)/((x-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A131380():
- x = SR.var('x')
- return { 'ogf': [((x*((2-x)+x**2))/((x-1)**2*(1+x+x**2)))] }
-
-
-
-def A131423():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x))-x**2))/(1-x)**4)] }
-
-
-
-def A131428():
- x = SR.var('x')
- return { 'ogf': [(((1-sqrt((1-(4*x))))/x)-(1/(1-x)))] }
-
-
-
-def A131435():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(2*x)))/(((1-(3*x)-(15*x**2)-(3*x**3))+(13*x**4))-(4*x**5)))] }
-
-
-
-def A131438():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(2*x))+(6*x**2)))/(((2*x)-1)**2*(x-1)**2)))] }
-
-
-
-def A131439():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((3*x**2)-(4*x)-1))/(x-1)**2))] }
-
-
-
-def A131464():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(15*x)+(6*x**2)+x**3))/(1-x)**4)] }
-
-
-
-def A131471():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(11*x)+(36*x**2)+(11*x**3)+x**4))/((-1)+x)**6)] }
-
-
-
-def A131472():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(26*x)+(156*x**2)+(146*x**3)+(31*x**4)))/(1-x)**7)] }
-
-
-
-def A131475():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+x+(3*x**2)+x**3))/((1+x)**3*(1-x)**4))] }
-
-
-
-def A131476():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(3*x)+x**3))/((1-x)**4*(1+x+x**2)))] }
-
-
-
-def A131477():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)+(2*x**3)))/((1-x)**4*(1+x+x**2)))] }
-
-
-
-def A131478():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x**2)+x**4))/((1-x)**5*(1+x)))] }
-
-
-
-def A131479():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+x+x**2))/((1+x)*(1-x)**5))] }
-
-
-
-def A131509():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(26*x**2)+(38*x**3)+(53*x**4)+(5*x**5))/(1-x)**7)] }
-
-
-
-def A131515():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(19*x))+(20*x**2)))/((-1)+x)/((1-(34*x))+x**2)))] }
-
-
-
-def A131519():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)-1)*(((6*x**2)+(3*x))-1))/((1-(11*x))+(24*x**3)))] }
-
-
-
-def A131520():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-1)+x+x**2))/((-1)+x)**2/((-1)+(2*x)))] }
-
-
-
-def A131521():
- x = SR.var('x')
- return { 'ogf': [(9/(4+(5*sqrt((1-(36*x))))))] }
-
-
-
-def A131527():
- x = SR.var('x')
- return { 'ogf': [(-(((((1408*x**14)-(221419*x**13)-(23074512*x**12)-(437328710*x**11)-(3.130260112E9*x**10)-(9.871683909E9*x**9)-(1.4838023712E10*x**8)-(1.0832842836E10*x**7)-(3.802147872E9*x**6)-(608960101*x**5)-(43604624*x**4)-(890694*x**3)-(121552*x**2))+(14197*x))-1152)/(x-1)**16))] }
-
-
-
-def A131531():
- x = SR.var('x')
- return { 'ogf': [(x**3/(x+1)/((x**2-x)+1))] }
-
-
-
-def A131532():
- x = SR.var('x')
- return { 'ogf': [(-(x**4/((x-1)*(x**2+x+1)*((x**2-x)+1))))] }
-
-
-
-def A131533():
- x = SR.var('x')
- return { 'ogf': [(x**4/((x+1)*(x**2+x+1)*((x**2-x)+1)))] }
-
-
-
-def A131534():
- x = SR.var('x')
- return { 'ogf': [((x+1)**2/((1-x)*(x**2+x+1)))] }
-
-
-
-def A131554():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-x)+x**2)-x**3)+x**4)/(x-1)/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A131555():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**2)+1)*x**2)/(x-1)/(x**2+x+1)/((x**2-x)+1)))] }
-
-
-
-def A131556():
- x = SR.var('x')
- return { 'ogf': [((x-1)**2/(x+1)/((x**2-x)+1))] }
-
-
-
-def A131557():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*(((11+(486*x))-(635*x**2))+(2*x**4)))/((x-1)*(x**2+(18*x)+1)*((x**2-(18*x))+1))))] }
-
-
-
-def A131561():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x)*(x**2+x+1))),
-(((1+x)-x**2)/(1-x**3))] }
-
-
-
-def A131569():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4-(2*x**3)-(2*x**2))+(2*x))-1))/((x-1)*(x+1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A131575():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(2*x**2))/(1-(2*x**2)))] }
-
-
-
-def A131577():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x)))] }
-
-
-
-def A131579():
- x = SR.var('x')
- return { 'ogf': [(-((x*(3+(6*x)+(9*x**2)+(2*x**3)+(5*x**4)+(8*x**5)+x**6+(4*x**7)+(7*x**8)))/((x-1)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1))))] }
-
-
-
-def A131588():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2))+(2*x**3))/((x-1)*((2*x)+1)*((2*x)-1)*(x+1)))] }
-
-
-
-def A131598():
- x = SR.var('x')
- return { 'ogf': [((2+(5*x)+(8*x**2))/(1-x**3))] }
-
-
-
-def A131600():
- x = SR.var('x')
- return { 'ogf': [(-((x*(19+(18*x)+(18*x**2)))/((3*x)-1)/((6*x**2)+(2*x)+1)))] }
-
-
-
-def A131601():
- x = SR.var('x')
- return { 'ogf': [(-((x*(49+(48*x)+(48*x**2)))/((4*x)-1)/((12*x**2)+(3*x)+1)))] }
-
-
-
-def A131608():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2)*((x**2-x)+1)*(((9*x**6)-(6*x**5))+(4*x**3)+(2*x**2)+1))/((1+x**4)*((x**8-x**4)+1)))] }
-
-
-
-def A131640():
- x = SR.var('x')
- return { 'ogf': [(-((5*(((-197)-(10*x)-(10*x**2))+(182*x**3)))/((-1)+x)**2/(x**2+x+1)))] }
-
-
-
-def A131649():
- x = SR.var('x')
- return { 'ogf': [(4+((2*x*(((x-2)**2*x)-4))/(x-1)**3))] }
-
-
-
-def A131665():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x))*(1+x+x**2))/((1-(3*x**2))+(3*x**4)))] }
-
-
-
-def A131670():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x**2)-x**4)/((x-1)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A131675():
- x = SR.var('x')
- return { 'ogf': [(((((135*x**14)+(86852*x**13)+(5864611*x**12)+(109724496*x**11)+(782427151*x**10)+(2.46881843E9*x**9)+(3.704965659E9*x**8)+(2.710222344E9*x**7)+(952834509*x**6)+(152249688*x**5)+(9878785*x**4)+(212504*x**3)+(1245*x**2))-(10*x))+1)/(x-1)**16)] }
-
-
-
-def A131676():
- x = SR.var('x')
- return { 'ogf': [(((1-(15*x))+(14322*x**2)+(28091987*x**3)+(8.569506575E9*x**4)+(6.90621422337E11*x**5)+(2.0769948618958E13*x**6)+(2.83347184706283E14*x**7)+(1.969675285865562E15*x**8)+(7.493939424807955E15*x**9)+(1.6292973927985678E16*x**10)+(2.0712738704664488E16*x**11)+(1.5498276638623618E16*x**12)+(6.765765599122915E15*x**13)+(1.67954249974005E15*x**14)+(2.26176197184209E14*x**15)+(1.5278037714093E13*x**16)+(4.54493699352E11*x**17)+(4.732512736E9*x**18)+(10869320*x**19)+(1575*x**20))/(1-x)**22)] }
-
-
-
-def A131682():
- x = SR.var('x')
- return { 'ogf': [(((2-(7*x))+(35*x**2)+(25*x**3)+(63*x**4)+(2*x**5))/(1-x)**7)] }
-
-
-
-def A131683():
- x = SR.var('x')
- return { 'ogf': [(-(((((80*x**9)+(7205*x**8)+(61625*x**7)+(213873*x**6)+(217437*x**5)+(93855*x**4)+(8635*x**3)+(2395*x**2))-(353*x))+48)/(x-1)**11))] }
-
-
-
-def A131684():
- x = SR.var('x')
- return { 'ogf': [(-(((((1103872*x**20)-(312478243*x**19)-(1.20671064318E11*x**18)-(1.0924415464963E13*x**17)-(3.65289416188928E14*x**16)-(5.416497937794108E15*x**15)-(4.0283003777941144E16*x**14)-(1.6238661365296016E17*x**13)-(3.7203656860251238E17*x**12)-(4.9714891741121786E17*x**11)-(3.9096914782003386E17*x**10)-(1.79789868762494304E17*x**9)-(4.7275965677665472E16*x**8)-(6.823180930101292E15*x**7)-(5.07249401959608E14*x**6)-(1.7779798800764E13*x**5)-(2.7576579184E11*x**4)-(1220181963*x**3)-(164465518*x**2))+(15194245*x))-829440)/(x-1)**22))] }
-
-
-
-def A131707():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x**2)+(4*x**3))-(6*x**5))+(9*x**6))/((1-x)*(1+x**2)*((1-x**2)+x**4)))] }
-
-
-
-def A131708():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+x))/((2*x)-1)/((x**2-x)+1))] }
-
-
-
-def A131709():
- x = SR.var('x')
- return { 'ogf': [(-((((30*x**3)-(30*x**2))+(3*x)+1)/((x-1)*(((10*x**2)-(10*x))+1))))] }
-
-
-
-def A131711():
- x = SR.var('x')
- return { 'ogf': [(((x**8+(8*x**7)+(4*x**6)+(5*x**4)+(4*x**2)+(2*x)+1)*x)/((1-x)*(1+x)*(x**2+x+1)*((x**2-x)+1)*((x**4-x**2)+1)))] }
-
-
-
-def A131712():
- x = SR.var('x')
- return { 'ogf': [(-((1+(3*x)+(7*x**2)+(9*x**3))/((x-1)*(x+1)*(1+x**2))))] }
-
-
-
-def A131713():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(x**2+x+1))] }
-
-
-
-def A131714():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(x+1)/((x**2-x)+1))] }
-
-
-
-def A131717():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**5)-x**4)+(2*x**3)+x**2+x+1))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A131719():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+1)*x)/(x-1)/(x**2+x+1)/((x**2-x)+1)))] }
-
-
-
-def A131720():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1))/((x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A131723():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((1+x)**3*(1-x)))] }
-
-
-
-def A131729():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-x)+x**2))/((x-1)*(x+1)*(x**2+1))))] }
-
-
-
-def A131734():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x**2)-x**4))/(1-x**6))] }
-
-
-
-def A131735():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+1)*x**2)/(x-1)/(x**2+x+1)/((x**2-x)+1)))] }
-
-
-
-def A131743():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x**2)))/((x-1)*(x+1)*(x**2+1))))] }
-
-
-
-def A131756():
- x = SR.var('x')
- return { 'ogf': [(((2-x)+(3*x**2))/(1-x**3))] }
-
-
-
-def A131761():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((((4*x**5)-(2*x**4))+(3*x**3))-(2*x**2)-1))/(((x**2-x)+1)*((5*x**3)-1)))] }
-
-
-
-def A131769():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(4-x-(8*x**2)-(4*x**3)))/(1-(2*x))**2)] }
-
-
-
-def A131773():
- x = SR.var('x')
- return { 'ogf': [(((18*x**18)+(7*x**17)+(26*x**16)+(15*x**15)+(4*x**14)+(23*x**13)+(12*x**12)+x**11+(20*x**10)+(9*x**9)+(28*x**8)+(17*x**7)+(6*x**6)+(25*x**5)+(14*x**4)+(3*x**3)+(22*x**2)+(11*x)+30)/((-x**19)+1))] }
-
-
-
-def A131804():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-1)+(2*x))-x**2)+x**3))/((1-x)**3*(1+x**2)**2))] }
-
-
-
-def A131805():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(2*x)+x**2))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A131820():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**3)-(4*x**2))+(5*x))-1)/(x-1)**4)] }
-
-
-
-def A131831():
- x = SR.var('x')
- return { 'ogf': [(((3*x**2)-1)/((x-1)**2*((2*x)-1)))] }
-
-
-
-def A131833():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(2*x))+(6*x**2))/(((2*x)-1)*(x-1)**2))] }
-
-
-
-def A131865():
- x = SR.var('x')
- return { 'ogf': [(1/(((16*x)-1)*(x-1)))] }
-
-
-
-def A131869():
- x = SR.var('x')
- return { 'ogf': [((x-15-sqrt(((x**2-(30*x))+1)))/16)] }
-
-
-
-def A131874():
- x = SR.var('x')
- return { 'ogf': [(((1+(9*x))-(3*x**2))/(1-x)**3)] }
-
-
-
-def A131885():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(2*x))-(2*x**2))+(2*x**3))/((2*x)-1)/(((2*x**2)-(2*x))+1))] }
-
-
-
-def A131887():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-3)-(5*x))+x**2+x**3))/((1-(4*x**2))+x**4)))] }
-
-
-
-def A131898():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x)+(4*x**2))/(((2*x)-1)*(x-1)**2))] }
-
-
-
-def A131913():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/(1-x-x**2)**2)] }
-
-
-
-def A131926():
- x = SR.var('x')
- return { 'ogf': [((x-13-sqrt(((x**2-(26*x))+1)))/14)] }
-
-
-
-def A131927():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(34*x))+x**2)))/18)] }
-
-
-
-def A131941():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(1+x)/(1-x)**4)] }
-
-
-
-def A131949():
- x = SR.var('x')
- return { 'ogf': [(1-((2*x*((((-3)+(7*x))-(3*x**2))+x**3))/(((2*x)-1)*(x-1)**3)))] }
-
-
-
-def A131951():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(7*x**2))+(3*x**3))/(((2*x)-1)*(x-1)**3))] }
-
-
-
-def A131969():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))+(6*x**2))/((1+x)*((1-x)+x**2)))] }
-
-
-
-def A132045():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**3)-(2*x))+1)/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A132058():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(49*x))**(-(1/7)))/(8-(1-(49*x))**(-(1/7))))] }
-
-
-
-def A132059():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(1-(49*x))**(-(1/7)))/(6+(1-(49*x))**(-(1/7))))] }
-
-
-
-def A132072():
- x = SR.var('x')
- return { 'ogf': [(1+((x*((4-(9*x))+(3*x**2)))/(((2*x)-1)*(x-1)**3)))] }
-
-
-
-def A132074():
- x = SR.var('x')
- return { 'ogf': [((((2*x**2)+(2*x**3))-1)/(((2*x)-1)*(x-1)**2))] }
-
-
-
-def A132112():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(7*x)))/(1-x)**4)] }
-
-
-
-def A132122():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(15*x)+(11*x**2)+x**3))/(1-x)**6)] }
-
-
-
-def A132123():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(55*x)+(29*x**2)+x**3))/(1-x)**5)] }
-
-
-
-def A132124():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(5*x)))/(1-x)**4)] }
-
-
-
-def A132158():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((3*x**2)+x+1))/(((x**2-x)+1)*((5*x**3)-1))))] }
-
-
-
-def A132209():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(3-x))/(1-x)**3)] }
-
-
-
-def A132262():
- x = SR.var('x')
- return { 'ogf': [(((3*sqrt(((1-(6*x))+x**2)))-(1+x))/(2*((1-(7*x))+x**2)))] }
-
-
-
-def A132270():
- x = SR.var('x')
- return { 'ogf': [(x**8/((1-x-x**7)+x**8))] }
-
-
-
-def A132297():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((2*x**3)-(2*x**2)-x)+4))/((x-1)**3*(x+1))))] }
-
-
-
-def A132308():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(2*x**2))/((1-(3*x))*(1-x)**2))] }
-
-
-
-def A132354():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**2)+(4*x)+5))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A132356():
- x = SR.var('x')
- return { 'ogf': [((4*x*((2*x**2)+x+2))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A132364():
- x = SR.var('x')
- return { 'ogf': [((2-x-(x*sqrt((1-(4*x)))))/((2-(2*x))+(2*x**3)))] }
-
-
-
-def A132366():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2+1))/(x-1)**5))] }
-
-
-
-def A132390():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((16*x**4)-(4*x**3))+(12*x**2)+(6*x))-3))/(((2*x)-1)*((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A132411():
- x = SR.var('x')
- return { 'ogf': [(x+((x**2*((-3)+x))/((-1)+x)**3))] }
-
-
-
-def A132417():
- x = SR.var('x')
- return { 'ogf': [((2+(4*x)+(4*x**2)+(4*x**3)+(4*x**4)+(4*x**5)+(4*x**6)+(4*x**7)+(4*x**8)+(4*x**9)+(4*x**10)+(4*x**11)+(4*x**12)+(4*x**13)+(4*x**14)+(68*x**15)+(2*x**16))/((1+x)*(x**2+1)*(x**4+1)*(x**8+1)*(x-1)**2))] }
-
-
-
-def A132429():
- x = SR.var('x')
- return { 'ogf': [((3+(4*x)+(3*x**2))/((1+x)*(1+x**2)))] }
-
-
-
-def A132433():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-2)+x))/((-1)+x)/((-1)+(8*x))))] }
-
-
-
-def A132458():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+(16*x)+(36*x**2)+(16*x**3)+x**4))/(1-x)**8)] }
-
-
-
-def A132461():
- x = SR.var('x')
- return { 'ogf': [((((2-x)+(2*x**2))/sqrt(((x**2+x+1)*((x**2-(3*x))+1))))-1)] }
-
-
-
-def A132469():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(32*x))))] }
-
-
-
-def A132477():
- x = SR.var('x')
- return { 'ogf': [(-((1+(2*x)+(4*x**2))/((-1)+(2*x))))] }
-
-
-
-def A132479():
- x = SR.var('x')
- return { 'ogf': [(-((1+(3*x)+(6*x**2))/((-1)+(2*x))))] }
-
-
-
-def A132584():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(x+1))/((x-1)*((x**2-(18*x))+1))))] }
-
-
-
-def A132592():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(x+1))/((x-1)*((x**2-(34*x))+1))))] }
-
-
-
-def A132593():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*(x+1))/((x-1)*((x**2-(38*x))+1))))] }
-
-
-
-def A132594():
- x = SR.var('x')
- return { 'ogf': [(-((63*x*(1+x))/((-1)+x)/((1-(254*x))+x**2)))] }
-
-
-
-def A132596():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+x))/((x-1)*((x**2-(10*x))+1))))] }
-
-
-
-def A132607():
- x = SR.var('x')
- return { 'ogf': [(-((99*x*(x+1))/((x-1)*((x**2-(398*x))+1))))] }
-
-
-
-def A132644():
- x = SR.var('x')
- return { 'ogf': [(-((324*x*(x+1))/((x-1)*((x**2-(1298*x))+1))))] }
-
-
-
-def A132677():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1+x+x**2))] }
-
-
-
-def A132736():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(2*x**2))-(2*x**3))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A132738():
- x = SR.var('x')
- return { 'ogf': [(((((4*x**3)-(4*x**2))+(2*x))-1)/((x-1)**2*((2*x)-1)))] }
-
-
-
-def A132750():
- x = SR.var('x')
- return { 'ogf': [(((1-x-(3*x**2))+(4*x**3))/((1-x)*(1-(2*x))**2))] }
-
-
-
-def A132753():
- x = SR.var('x')
- return { 'ogf': [(-((((6*x**2)-(8*x))+3)/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A132757():
- x = SR.var('x')
- return { 'ogf': [((x*(15-(14*x)))/(1-x)**3)] }
-
-
-
-def A132759():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-7)+(6*x)))/(x-1)**3)] }
-
-
-
-def A132760():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-8)+(7*x)))/(x-1)**3)] }
-
-
-
-def A132772():
- x = SR.var('x')
- return { 'ogf': [((x*((-31)+(29*x)))/((-1)+x)**3)] }
-
-
-
-def A132773():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-16)+(15*x)))/((-1)+x)**3)] }
-
-
-
-def A132804():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(1-(7*x)-(8*x**2)))] }
-
-
-
-def A132805():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(1-(7*x)-(8*x**2)))] }
-
-
-
-def A132824():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**3)-x**2-(2*x))+1)/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A132863():
- x = SR.var('x')
- return { 'ogf': [(8/(5+(3*sqrt((1-(16*x))))))] }
-
-
-
-def A132866():
- x = SR.var('x')
- return { 'ogf': [(7/(4+(3*sqrt((1-(28*x))))))] }
-
-
-
-def A132867():
- x = SR.var('x')
- return { 'ogf': [(16/(9+(7*sqrt((1-(32*x))))))] }
-
-
-
-def A132887():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x+x**2))/((1-(3*x**2)-x**4)+sqrt((((1+x**2)-x**4)*(1-(3*x**2)-x**4)))))] }
-
-
-
-def A132894():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))*sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A132897():
- x = SR.var('x')
- return { 'ogf': [(20/(11+(9*sqrt((1-(40*x))))))] }
-
-
-
-def A132900():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt((1-(6*x)-(27*x**2))))/(18*x**2))] }
-
-
-
-def A132925():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2+x)-1))/((x-1)**3*((2*x)-1))))] }
-
-
-
-def A132954():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(4*x**2))/((1+x)*((x**2-x)+1)))] }
-
-
-
-def A132998():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(9*x)+(15*x**2)+x**3))/((-1)+x)**5))] }
-
-
-
-def A133034():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((-1)+x**2+x**3))] }
-
-
-
-def A133037():
- x = SR.var('x')
- return { 'ogf': [(((x**5+x**2+x)-1)/(((((-x**6)+x**5)-x**4)+x**3+x**2+x)-1))] }
-
-
-
-def A133038():
- x = SR.var('x')
- return { 'ogf': [(((((((x**9-x**8)+x**7+x**6)-(5*x**5))+x**4)-(2*x**3)-(2*x**2)-x)+1)/((x-1)*(((x**3-(2*x**2))+(3*x))-1)*(x**6+(3*x**5)+(5*x**4)+(5*x**3)+(5*x**2)+(3*x)+1)))] }
-
-
-
-def A133039():
- x = SR.var('x')
- return { 'ogf': [((2*x**8*((((x**7-x**6)+(2*x**5)+x**2)-(2*x))+2))/((x-1)*(((x**3-(2*x**2))+(3*x))-1)*(((x**3-x**2)+(2*x))-1)*(x**3-x-1)*(x**6+(3*x**5)+(5*x**4)+(5*x**3)+(5*x**2)+(3*x)+1)))] }
-
-
-
-def A133044():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3+x+1))/((((x**3-x**2)+(2*x))-1)*(x**3-x-1)))] }
-
-
-
-def A133068():
- x = SR.var('x')
- return { 'ogf': [((40320*x**8)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)))] }
-
-
-
-def A133070():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(72*x**2)+(22*x**3)+(26*x)+x**4))/(x-1)**6)] }
-
-
-
-def A133071():
- x = SR.var('x')
- return { 'ogf': [((x*(((72*x**2)-x**4)+(22*x)+1+(26*x**3)))/(x-1)**6)] }
-
-
-
-def A133072():
- x = SR.var('x')
- return { 'ogf': [((x*((60*x**2)+(3*x**4)+(30*x)+1+(26*x**3)))/(x-1)**6)] }
-
-
-
-def A133073():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(60*x**2)+(30*x**3)+(26*x)+x**4))/(x-1)**6)] }
-
-
-
-def A133092():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(3*x**2)+(4*x**3)))/(1-x**2)**3)] }
-
-
-
-def A133106():
- x = SR.var('x')
- return { 'ogf': [(((1-(1-(4*x**2))**(1/2))*x**6)/(2*((2*x)-1)**4))] }
-
-
-
-def A133107():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-1)+(3*x))-x**2)+((((((5*x**4)-(6*x**3))+(11*x**2))-(6*x))+1+(4*x**6))-(12*x**5))**(1/2)))/(2*((x**2-(3*x))+1)*(1-(2*x))**2))] }
-
-
-
-def A133124():
- x = SR.var('x')
- return { 'ogf': [(1-((x*((3-(5*x))+(3*x**2)))/((-1)+x)**2/((-1)+(2*x))))] }
-
-
-
-def A133125():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1+(3*x))*(1-(3*x))))] }
-
-
-
-def A133129():
- x = SR.var('x')
- return { 'ogf': [(1+((x*((8+(2*x))-(2*x**2)))/((1-(6*x)-(3*x**2))+(2*x**3))))] }
-
-
-
-def A133131():
- x = SR.var('x')
- return { 'ogf': [((((1+x**4+x**3)-x**2)+x)/((x+1)*(x**2+1)**2))] }
-
-
-
-def A133132():
- x = SR.var('x')
- return { 'ogf': [((3628800*x**10)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)))] }
-
-
-
-def A133141():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(152*x))+x**2))/((1-x)*((1-(482*x))+x**2)))] }
-
-
-
-def A133142():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((61*x**2)-(242*x))+1))/((x-1)*((x**2-(1442*x))+1))))] }
-
-
-
-def A133145():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*((4*x**2)+1))/((1-x)*(1+x)*(x**2+1)))] }
-
-
-
-def A133146():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*((2-x)+x**3))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A133161():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/(1-x)/((1-(4*x))+x**2))] }
-
-
-
-def A133186():
- x = SR.var('x')
- return { 'ogf': [((1/(1+x))+((3*x)/(1+x**2)))] }
-
-
-
-def A133195():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x**2+x+1))/((x-1)*((10*x**3)-1)))] }
-
-
-
-def A133201():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+x+1))/((x-1)*((10*x**3)-1)))] }
-
-
-
-def A133203():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(25*x**2))-(18*x**3)))/(1-x)**3)] }
-
-
-
-def A133209():
- x = SR.var('x')
- return { 'ogf': [(-(((3-(10*x))+(10*x**2))/((2*x)-1)/(((2*x**2)-(2*x))+1)))] }
-
-
-
-def A133224():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((7*x**2)-(5*x))+1))/(((2*x)-1)**2*((4*x)-1)**2))] }
-
-
-
-def A133238():
- x = SR.var('x')
- return { 'ogf': [((x**8+(36*x**7)+(341*x**6)+(1208*x**5)+(1820*x**4)+(1208*x**3)+(341*x**2)+(36*x)+1)/(x-1)**16)] }
-
-
-
-def A133252():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**2)+1)/(x-1)**5))] }
-
-
-
-def A133257():
- x = SR.var('x')
- return { 'ogf': [(-(((4*x**2)-(3*x)-4)/((x-1)*((2*x**2)-1))))] }
-
-
-
-def A133263():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**3)/(1-x)**3)] }
-
-
-
-def A133271():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(5*x))+x**2))/((-1)+x)/((1-(12*x))+x**2)))] }
-
-
-
-def A133272():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(6*x)))/((-1)+x)/((1-(12*x))+x**2))] }
-
-
-
-def A133273():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(9*x)))/((-1)+x)/((1-(18*x))+x**2))] }
-
-
-
-def A133275():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((-1)+x))/((1-(22*x))+x**2)))] }
-
-
-
-def A133283():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-(22*x))+x**2))] }
-
-
-
-def A133284():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(10*x))+x**2))/((1-x)*((1-(22*x))+x**2)))] }
-
-
-
-def A133285():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(11*x)))/((x-1)*((x**2-(22*x))+1)))] }
-
-
-
-def A133292():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**8)+(4*x**7)+(7*x**6)+(2*x**5)+(7*x**4)+(4*x**3)+(2*x**2)+x+1)/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A133293():
- x = SR.var('x')
- return { 'ogf': [((x*(x**6+(3*x**5)+(6*x**4)+x**3+(6*x**2)+(3*x)+1))/((x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A133294():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(10*x**2)))] }
-
-
-
-def A133305():
- x = SR.var('x')
- return { 'ogf': [((1-x-((x**2-(18*x))+1)**(1/2))/(8*x))] }
-
-
-
-def A133306():
- x = SR.var('x')
- return { 'ogf': [((1-x-((x**2-(22*x))+1)**(1/2))/(10*x))] }
-
-
-
-def A133307():
- x = SR.var('x')
- return { 'ogf': [((1-x-((x**2-(26*x))+1)**(1/2))/(12*x))] }
-
-
-
-def A133308():
- x = SR.var('x')
- return { 'ogf': [((1-x-((x**2-(30*x))+1)**(1/2))/(14*x))] }
-
-
-
-def A133310():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)+x**3)/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A133317():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**4+(24*x**3)+(76*x**2)+(24*x)+1))/(x-1)**10)] }
-
-
-
-def A133318():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**8+(47*x**7)+(556*x**6)+(2342*x**5)+(3832*x**4)+(2342*x**3)+(556*x**2)+(47*x)+1))/(x-1)**18)] }
-
-
-
-def A133324():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((697*x**4)+(167145360*x**3))-(609119978*x**2))+(144840*x)+1))/((x-1)*((x**2-(39202*x))+1)*(x**2+(39202*x)+1))))] }
-
-
-
-def A133325():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((7*x**2)+(20*x)+7))/((x**2+(2*x))-1)/(x**2-(2*x)-1)))] }
-
-
-
-def A133326():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x+1)*(x**2+(3*x)+1))/((x**2+(2*x))-1)/(x**2-(2*x)-1))] }
-
-
-
-def A133327():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((17*x**4)+(8160*x**3))-(20178*x**2))+(240*x)+1))/((x-1)*((x**2-(198*x))+1)*(x**2+(198*x)+1))))] }
-
-
-
-def A133328():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(((6*x**3)+(2885*x**2))-(6726*x)-85))/((x-1)*((x**2-(198*x))+1)*(x**2+(198*x)+1)))] }
-
-
-
-def A133335():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**2)+(2*x)+1)/((5*x**3)-1)))] }
-
-
-
-def A133343():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(13*x**2)))] }
-
-
-
-def A133345():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(14*x**2)))] }
-
-
-
-def A133348():
- x = SR.var('x')
- return { 'ogf': [((x**6+(16*x**5)+(70*x**4)+(112*x**3)+(70*x**2)+(16*x)+1)/(x-1)**16)] }
-
-
-
-def A133350():
- x = SR.var('x')
- return { 'ogf': [(((14*x**5)+(273*x**4)+(840*x**3)+(582*x**2)+(82*x)+1)/(x-1)**8)] }
-
-
-
-def A133351():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**8+(175*x**7)+(4166*x**6)+(26055*x**5)+(50086*x**4)+(26055*x**3)+(4166*x**2)+(175*x)+1))/(x-1)**13))] }
-
-
-
-def A133355():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+(8*x**3)+(15*x**2)+(8*x)+1)/(x-1)**13))] }
-
-
-
-def A133356():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-(16*x**2)))] }
-
-
-
-def A133357():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((8*x**7)-(12*x**6)-(2*x**5)-(16*x**4)-(30*x**3)-(15*x**2)-(4*x)-1))/(((24*x**8)-(4*x**7)-(46*x**6)-(66*x**5)-(74*x**4)-(25*x**3)-(7*x**2)-(3*x))+1)))] }
-
-
-
-def A133360():
- x = SR.var('x')
- return { 'ogf': [(-((362880*x**9)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1))))] }
-
-
-
-def A133368():
- x = SR.var('x')
- return { 'ogf': [((1+x+(3*x**2)+(7*x**3)+(3*x**4))/(1-x**5))] }
-
-
-
-def A133379():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((50*x)+1))/(((160264*x**3)+(80136*x**2))-(49*x)-1)))] }
-
-
-
-def A133381():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((2835*x**2)-(1032*x)-1))/(((3149685*x**3)+(88636*x**2))-(1037*x)-1)))] }
-
-
-
-def A133386():
- x = SR.var('x')
- return { 'ogf': [((-(2*x**4*(((((85*x**4)-(180*x**3))+(141*x**2))-(48*x))+6)))/((x-1)**3*((3*x)-1)**3*((2*x)-1)**3))] }
-
-
-
-def A133407():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(5*x**2)))] }
-
-
-
-def A133416():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((85*x**2)+(53*x)+1))/(((16*x)-1)*((x**2-(7*x))+1)*(((25*x**2)-(15*x))+1))))] }
-
-
-
-def A133417():
- x = SR.var('x')
- return { 'ogf': [((2*x**(-1)*(1-x-(4*x**2)))/((1+x)*((1-(6*x))+x**2)))] }
-
-
-
-def A133458():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(33*x)+(319*x**2)+(1212*x**3)+(2662*x**4)+(3320*x**5)+(2662*x**6)+(1212*x**7)+(319*x**8)+(33*x**9)+x**10))/((1+x)**5*(1-x)**7))] }
-
-
-
-def A133467():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(6*x**2)))] }
-
-
-
-def A133469():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(7*x**2)))] }
-
-
-
-def A133479():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(8*x**2)))] }
-
-
-
-def A133494():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(3*x)))] }
-
-
-
-def A133496():
- x = SR.var('x')
- return { 'ogf': [(-((841*x*(1+x))/(x-1)**3))] }
-
-
-
-def A133499():
- x = SR.var('x')
- return { 'ogf': [((42*x**2*(3+(28*x)+(58*x**2)+(28*x**3)+(3*x**4)))/(x-1)**8)] }
-
-
-
-def A133510():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(5*x))+(2*x**2)+(3*x**3)))/((1-x)*(1-(3*x))*(1-(2*x))*(1+x)))] }
-
-
-
-def A133546():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+x**2)-x**3)/((x-1)**2*((2*x)-1)**2))] }
-
-
-
-def A133558():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(9*x**2)))] }
-
-
-
-def A133570():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**5-(5*x**4))+(3*x**3))-(8*x**2))+(4*x))-3)/(x**2+1)**2))] }
-
-
-
-def A133572():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x)+1+(2*x**2)))/((2*x)-1)/((2*x)+1)))] }
-
-
-
-def A133577():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x-(10*x**2)))] }
-
-
-
-def A133592():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/(1-(2*x)-(6*x**2)))] }
-
-
-
-def A133594():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/(1-(3*x)-(12*x**2)))] }
-
-
-
-def A133600():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((3*x)+1))/((2*x)-1)/((2*x)+1)))] }
-
-
-
-def A133628():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1-(4*x**2))*(1-x)))] }
-
-
-
-def A133631():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)+(4*x**2)))] }
-
-
-
-def A133641():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(5*x**2))+x**3+(2*x)+(2*x**4)))/((-1)+x+x**2)/((-1)+x)**2))] }
-
-
-
-def A133642():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x**2))/(1-(4*x)-(20*x**2)))] }
-
-
-
-def A133646():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x**2))/(1-(5*x)-(30*x**2)))] }
-
-
-
-def A133647():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(3*x**2))/(1-(9*x**2)))] }
-
-
-
-def A133649():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+x+x**2))/((1-(2*x))*(1+x)))] }
-
-
-
-def A133654():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/((x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A133655():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(5*x)+1)/(x-1)**2)] }
-
-
-
-def A133665():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x)+(9*x**2)))] }
-
-
-
-def A133666():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-x)+(16*x**2)))] }
-
-
-
-def A133667():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-x)+(25*x**2)))] }
-
-
-
-def A133669():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-x)+(49*x**2)))] }
-
-
-
-def A133671():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-x)+(64*x**2)))] }
-
-
-
-def A133672():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1-x)+(81*x**2)))] }
-
-
-
-def A133673():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-7)-(4*x))+(3*x**2)+x**3))/((x**2+x)-1)**2))] }
-
-
-
-def A133678():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x**2))/(1-(6*x)-(42*x**2)))] }
-
-
-
-def A133679():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x**2))/(1-(7*x)-(56*x**2)))] }
-
-
-
-def A133680():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x**2))/(1-(8*x)-(72*x**2)))] }
-
-
-
-def A133681():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x**2))/(1-(9*x)-(90*x**2)))] }
-
-
-
-def A133694():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x))-(2*x**2)))/(1-x)**3)] }
-
-
-
-def A133708():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x+1)*(x**8+(52*x**7)+(658*x**6)+(2890*x**5)+(4810*x**4)+(2890*x**3)+(658*x**2)+(52*x)+1))/(x-1)**16)] }
-
-
-
-def A133766():
- x = SR.var('x')
- return { 'ogf': [((3*((5+(85*x)+(39*x**2))-x**3))/(1-x)**4)] }
-
-
-
-def A133767():
- x = SR.var('x')
- return { 'ogf': [((3*(35+(91*x)+x**2+x**3))/(1-x)**4)] }
-
-
-
-def A133818():
- x = SR.var('x')
- return { 'ogf': [((3*((315+(10580*x)+(18850*x**2)+(3028*x**3))-(5*x**4)))/(1-x)**5)] }
-
-
-
-def A133872():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x**4))] }
-
-
-
-def A133875():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**5)+(3*x**10)+(4*x**15))/((1-x)*(x**20+x**15+x**10+x**5+1)))] }
-
-
-
-def A133894():
- x = SR.var('x')
- return { 'ogf': [((12/(1-x))+((x*(1+x+x**2+(13*x**3)))/((1-x**4)*(1-x))))] }
-
-
-
-def A133915():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+((1-x)*sqrt((1-(4*x)))))/((x+2)*(1-(4*x))**(3/2)))] }
-
-
-
-def A133925():
- x = SR.var('x')
- return { 'ogf': [((x**2+(2*x)+2)/((1+x)-x**4-x**3-x**5))] }
-
-
-
-def A133926():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2-x**3)+x**6))] }
-
-
-
-def A133931():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(4*x**2)-x**3))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A133953():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)*(1-(2*x)))/((1-x)**2*(1-(2*x)-x**2)))] }
-
-
-
-def A133993():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(2*x**2)-(4*x**3))/(((2*x)-1)*(x-1)*(1+x)**2))] }
-
-
-
-def A133998():
- x = SR.var('x')
- return { 'ogf': [((1/60)*((1+x)**60+(24*(1+x**5)**12)+(20*(1+x**3)**20)+(15*(1+x**2)**30)))] }
-
-
-
-def A134007():
- x = SR.var('x')
- return { 'ogf': [(-(((((5-(100*x))+(690*x**2))-(1900*x**3))+(1689*x**4))/((-1)+x)/((3*x)-1)/((9*x)-1)/((7*x)-1)/((5*x)-1)))] }
-
-
-
-def A134008():
- x = SR.var('x')
- return { 'ogf': [(-((2*((6*x)-1)*(((((1627*x**4)-(1752*x**3))+(578*x**2))-(72*x))+3))/((-1)+x)/((9*x)-1)/((7*x)-1)/((3*x)-1)/((5*x)-1)/((11*x)-1)))] }
-
-
-
-def A134012():
- x = SR.var('x')
- return { 'ogf': [(-((x**2+(3*x)+1)**2/((x-1)*(1+x+x**2+x**3+x**4))))] }
-
-
-
-def A134016():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3-(2*x**2)-(6*x)-2))/((x**4+(4*x**2))-1))] }
-
-
-
-def A134018():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(7*x))+(15*x**2)))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A134019():
- x = SR.var('x')
- return { 'ogf': [(-(((((9*x**3)-(19*x**2))+(8*x))-1)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A134035():
- x = SR.var('x')
- return { 'ogf': [((x*(((2+(2*x))-(8*x**2)-(7*x**3))+(4*x**5)+(3*x**6)))/((1+x)*(((3*x**4)-(5*x**2))+1)*(x-1)**2))] }
-
-
-
-def A134045():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+(12*x**2)+(3*x**3))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A134057():
- x = SR.var('x')
- return { 'ogf': [((3*x**2)/(1-x)/(1-(2*x))/(1-(4*x)))] }
-
-
-
-def A134063():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(4*x))+(6*x**2))/((x-1)*((3*x)-1)*((2*x)-1))))] }
-
-
-
-def A134064():
- x = SR.var('x')
- return { 'ogf': [((((1-(8*x))+(21*x**2))-(17*x**3))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A134067():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**2)-(3*x)-1)/((x-1)*((2*x)-1))))] }
-
-
-
-def A134119():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**4+1))/((x**11-x**10-x)+1))] }
-
-
-
-def A134153():
- x = SR.var('x')
- return { 'ogf': [(-((1+(22*x)+(7*x**2))/((-1)+x)**3))] }
-
-
-
-def A134154():
- x = SR.var('x')
- return { 'ogf': [(-((1+(4*x)+(25*x**2))/((-1)+x)**3))] }
-
-
-
-def A134155():
- x = SR.var('x')
- return { 'ogf': [(-((1+(1802*x)+(12858*x**2)+(9446*x**3)+(589*x**4))/((-1)+x)**5))] }
-
-
-
-def A134158():
- x = SR.var('x')
- return { 'ogf': [(-((1+(2186*x)+(13638*x**2)+(8498*x**3)+(373*x**4))/((-1)+x)**5))] }
-
-
-
-def A134159():
- x = SR.var('x')
- return { 'ogf': [(-((13+(3368*x)+(14556*x**2)+(6596*x**3)+(163*x**4))/((-1)+x)**5))] }
-
-
-
-def A134160():
- x = SR.var('x')
- return { 'ogf': [((163+(6596*x)+(14556*x**2)+(3368*x**3)+(13*x**4))/(1-x)**5)] }
-
-
-
-def A134161():
- x = SR.var('x')
- return { 'ogf': [(-((373+(8498*x)+(13638*x**2)+(2186*x**3)+x**4)/((-1)+x)**5))] }
-
-
-
-def A134163():
- x = SR.var('x')
- return { 'ogf': [((1+(182*x)+(606*x**2)+(182*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A134165():
- x = SR.var('x')
- return { 'ogf': [((((1-(7*x))+(13*x**2))-x**3)/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A134168():
- x = SR.var('x')
- return { 'ogf': [(-(((((5*x**3)-(14*x**2))+(7*x))-1)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A134169():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(7*x**2))/((1-x)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A134175():
- x = SR.var('x')
- return { 'ogf': [((384*x**5)/(1-x)**5)] }
-
-
-
-def A134186():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((5*x**4)+(5*x**3))-(7*x)-4))/((x**2-x-1)*((x**3+x**2)-1))))] }
-
-
-
-def A134202():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(4*x)+(8*x**2)+x**3))/((-1)+x)))] }
-
-
-
-def A134230():
- x = SR.var('x')
- return { 'ogf': [(-((3*((70*x)-1))/(((10*x)-1)*((100*x)-1))))] }
-
-
-
-def A134287():
- x = SR.var('x')
- return { 'ogf': [((1+(20*x)+(60*x**2)+(40*x**3)+(5*x**4))/(1-x)**10)] }
-
-
-
-def A134297():
- x = SR.var('x')
- return { 'ogf': [((107*x)/((-1)+x)**2)] }
-
-
-
-def A134311():
- x = SR.var('x')
- return { 'ogf': [((x*(((((2*x**4)-(8*x**3))+(8*x**2))-(4*x))+1))/((x-1)**2*((2*x)-1)**2))] }
-
-
-
-def A134314():
- x = SR.var('x')
- return { 'ogf': [(-((8*(1+x+x**2))/((1+x**2)*(1+x)**2)))] }
-
-
-
-def A134325():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**8+(7*x**7))-(40*x**6)-(60*x**5))+(18*x**4)+(51*x**3)+(10*x**2))-(9*x)-3))/(((((x**9+(7*x**8))-(43*x**7)-(48*x**6))+(38*x**5)+(47*x**4))-(7*x**3)-(13*x**2))+1)))] }
-
-
-
-def A134327():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(5*x))-(4*x**2))+(22*x**3)+x**4+x**5)/((-1)+x)**6)] }
-
-
-
-def A134350():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**2)-x-1))/((x-1)*((2*x)-1)*((3*x)-1)))] }
-
-
-
-def A134353():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(4*x**2))))] }
-
-
-
-def A134389():
- x = SR.var('x')
- return { 'ogf': [((((2-x)/(1-(2*x)))+((x*sqrt((1-(4*x**2))))/(1-(2*x))**2))/2)] }
-
-
-
-def A134401():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(4*x**2))/(1-(2*x))**2)] }
-
-
-
-def A134418():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A134425():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(7*x))+sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A134430():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(3*x))-x**2)/((x-1)*(1+x**2)))] }
-
-
-
-def A134438():
- x = SR.var('x')
- return { 'ogf': [((1-x**3)/((1-x-(2*x**2)-(6*x**3)-x**4)+x**6))] }
-
-
-
-def A134448():
- x = SR.var('x')
- return { 'ogf': [(-((3125*x*((2989441*x**9)+(3.026533493E9*x**8)+(1.42898228696E11*x**7)+(1.359450487664E12*x**6)+(3.912930922946E12*x**5)+(3.912461211074E12*x**4)+(1.358941584752E12*x**3)+(1.42800728024E11*x**2)+(3.023070581E9*x)+2982529))/(x-1)**11))] }
-
-
-
-def A134449():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((x**5-(6*x**4))+(2*x**3))-(16*x**2)-(3*x)-2))/((x-1)**5*(x+1)**4))] }
-
-
-
-def A134450():
- x = SR.var('x')
- return { 'ogf': [((25*x*((1729*x**4)+(44938*x**3)+(114048*x**2)+(44918*x)+1727))/(x-1)**6)] }
-
-
-
-def A134465():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-(2*x**2)))/(1-x)**4)] }
-
-
-
-def A134481():
- x = SR.var('x')
- return { 'ogf': [(1+((5*x)/(1-x)**4))] }
-
-
-
-def A134489():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x))/((-1)+(11*x)+x**2))] }
-
-
-
-def A134490():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-(11*x)-x**2))] }
-
-
-
-def A134491():
- x = SR.var('x')
- return { 'ogf': [(((-3)-x)/((-1)+(11*x)+x**2))] }
-
-
-
-def A134493():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(18*x))+x**2))] }
-
-
-
-def A134494():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(18*x))+x**2))] }
-
-
-
-def A134495():
- x = SR.var('x')
- return { 'ogf': [((2-(2*x))/((1-(18*x))+x**2))] }
-
-
-
-def A134497():
- x = SR.var('x')
- return { 'ogf': [((5-x)/((1-(18*x))+x**2))] }
-
-
-
-def A134498():
- x = SR.var('x')
- return { 'ogf': [(-((13*x)/((-1)+(29*x)+x**2)))] }
-
-
-
-def A134499():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(8*x))/((-1)+(29*x)+x**2))] }
-
-
-
-def A134500():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x))/((-1)+(29*x)+x**2))] }
-
-
-
-def A134501():
- x = SR.var('x')
- return { 'ogf': [(((-2)+(3*x))/((-1)+(29*x)+x**2))] }
-
-
-
-def A134502():
- x = SR.var('x')
- return { 'ogf': [(((-3)-(2*x))/((-1)+(29*x)+x**2))] }
-
-
-
-def A134503():
- x = SR.var('x')
- return { 'ogf': [(((-5)+x)/((-1)+(29*x)+x**2))] }
-
-
-
-def A134504():
- x = SR.var('x')
- return { 'ogf': [(((-8)-x)/((-1)+(29*x)+x**2))] }
-
-
-
-def A134507():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((5*x**2)+(3*x)+4))/((x-1)**5*(x**2+x+1))))] }
-
-
-
-def A134519():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**4-x**3-x**2)+x+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A134538():
- x = SR.var('x')
- return { 'ogf': [((x*(((-4)-(7*x))+x**2))/((-1)+x)**3)] }
-
-
-
-def A134547():
- x = SR.var('x')
- return { 'ogf': [(-((x*((29-(23*x))+(4*x**2)))/((-1)+x)**3))] }
-
-
-
-def A134581():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/(((1-x)+x**2)*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A134593():
- x = SR.var('x')
- return { 'ogf': [(((4*x**2)-(13*x)-1)/(x-1)**3)] }
-
-
-
-def A134594():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((4*x)-5))/(x-1)**3)] }
-
-
-
-def A134630():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(32+(87*x)+(30*x**2)+x**3))/((-1)+x)**6)] }
-
-
-
-def A134631():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(30*x)+(87*x**2)+(32*x**3)))/(1-x)**6)] }
-
-
-
-def A134632():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3+(70*x)+(156*x**2)+(66*x**3)+(5*x**4)))/(1-x)**6)] }
-
-
-
-def A134633():
- x = SR.var('x')
- return { 'ogf': [((2*x*(5+(66*x)+(156*x**2)+(70*x**3)+(3*x**4)))/(1-x)**6)] }
-
-
-
-def A134638():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(3*x))-(3*x**2))+x**3))/(((2*x)-1)*(x-1)**3))] }
-
-
-
-def A134667():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**4))/(1-x**6))] }
-
-
-
-def A134668():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-x**4))/(1-x**6))] }
-
-
-
-def A134704():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((10*x**4)+(12*x**3))-x**2-(3*x)-3))/(((x**2+x)-1)*(((4*x**3)+x**2)-x-1))))] }
-
-
-
-def A134719():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(((((((x**10-(2*x**9))+(3*x**8))-(4*x**7))+(4*x**6))-(2*x**5))+(6*x**4))-x**2-1))/((x**12+x**8+(7*x**4))-1))] }
-
-
-
-def A134720():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*((x**4-x**3)+(2*x**2)+x+1))/((x**9+x**6+(7*x**3))-1)))] }
-
-
-
-def A134762():
- x = SR.var('x')
- return { 'ogf': [((3/sqrt((1-(4*x))))-(2/(1-x)))] }
-
-
-
-def A134812():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+x+x**2))/(((2*x)-1)*((2*x**2)+(2*x)+1)))] }
-
-
-
-def A134813():
- x = SR.var('x')
- return { 'ogf': [(1-((3*x*(1+x))/(1+(2*x)+(2*x**2))))] }
-
-
-
-def A134815():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((3*x**7)+(2*x**6)+x**5+(15*x**4)+(3*x**3))-x**2)+(15*x))-4))/(((x**4+x)-1)*((x**4+(5*x))-1))))] }
-
-
-
-def A134816():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x**2-x**3))] }
-
-
-
-def A134823():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5+(11*x**4)+x**3+x**2+(21*x))-4))/(((x**2+x)-1)*(((3*x**4)+(7*x))-1))))] }
-
-
-
-def A134824():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/(1-x))] }
-
-
-
-def A134869():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-(2*x**2))+x**3))/(1-x)**3)] }
-
-
-
-def A134884():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((8844*x**4)+(8509*x**3))-(137*x**2)-(209*x))+3))/(((67*x**2)+(67*x)+1)*(((134*x**3)+(137*x))-1))))] }
-
-
-
-def A134939():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((45*x**2)-1))/(((3*x)-1)*((5*x)-1)*((9*x)-1)*((15*x)-1))))] }
-
-
-
-def A134940():
- x = SR.var('x')
- return { 'ogf': [((x*(((135*x**2)-(120*x))+17))/(((3*x)-1)*((5*x)-1)*((9*x)-1)*((15*x)-1)))] }
-
-
-
-def A135019():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(2*x)))/(((1+x)-(2*x**2))+x**3)))] }
-
-
-
-def A135030():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((2*x**2)+(6*x))-1)))] }
-
-
-
-def A135032():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(6*x)+(4*x**2))))] }
-
-
-
-def A135042():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2)+(2*x**3))/(1-x)**2)] }
-
-
-
-def A135051():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(72*x)+(98*x**2)+(72*x**3)+(7*x**4)))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A135052():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt((((1-(4*x))+(8*x**3))-(4*x**4))))/(2*x**2*(1-x)))] }
-
-
-
-def A135055():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(x+1)*((2*x**2)+x+2))/((-1)+x+x**2+x**3+x**4+x**5)))] }
-
-
-
-def A135056():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*((2*x**2)+(2*x)+1))/((-1)+x**5+x**4+x**3+x**2+x))] }
-
-
-
-def A135064():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(8*x))-(3*x**2)))/((1-(3*x))+x**2))] }
-
-
-
-def A135092():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-(2*x)))] }
-
-
-
-def A135095():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**8-(4*x**7))+(236*x**6)+(12*x**5)+(1446*x**4))-(12*x**3))+(236*x**2)+(4*x)+1)*(x**2+1))/((1+x)**6*(x-1)**7)))] }
-
-
-
-def A135098():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x))/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A135099():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(8*x)+(237*x**2)+(16*x**3)+(1682*x**4))-(48*x**5))+(1682*x**6)+(16*x**7)+(237*x**8)+(8*x**9)+x**10))/((1+x)**6*(x-1)**7)))] }
-
-
-
-def A135153():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/(1-(2*x**2)-x**4))] }
-
-
-
-def A135158():
- x = SR.var('x')
- return { 'ogf': [(((1+(19*x**2))-(10*x))/(((3*x)-1)*((2*x)-1)*((5*x)-1)))] }
-
-
-
-def A135159():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(5*x)))-(1/(1-(3*x))))+(1/(1-(2*x))))] }
-
-
-
-def A135160():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(5*x)))+(1/(1-(3*x))))-(1/(1-(2*x))))] }
-
-
-
-def A135162():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))-(1/(1-(5*x)))-(1/(1-(3*x))))+(1/(1-(2*x))))] }
-
-
-
-def A135163():
- x = SR.var('x')
- return { 'ogf': [((((1/(1-(7*x)))-(1/(1-(5*x))))+(1/(1-(3*x))))-(1/(1-(2*x))))] }
-
-
-
-def A135164():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))-(1/(1-(5*x))))+(1/(1-(3*x)))+(1/(1-(2*x))))] }
-
-
-
-def A135165():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))+(1/(1-(5*x))))-(1/(1-(3*x)))-(1/(1-(2*x))))] }
-
-
-
-def A135263():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x+(2*x**2)))/((1+x)*(1-(3*x))*((1-x)+x**2)))] }
-
-
-
-def A135265():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**3))/((1-x)*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A135276():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A135290():
- x = SR.var('x')
- return { 'ogf': [(x+2)**11] }
-
-
-
-def A135300():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(3*x)+(4*x**2))-(3*x**3))+x**4))/(1-x)**4)] }
-
-
-
-def A135318():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**3)/((1+x**2)*(1-(2*x**2))))] }
-
-
-
-def A135332():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+(8*x))-(3*x**2))+(32*x**3)+(3*x**4)+(8*x**5))-x**6))/((1+x)**4*(1-x)**5))] }
-
-
-
-def A135344():
- x = SR.var('x')
- return { 'ogf': [(((x*((x*(x+2))+2))-1)/((((3*x**4)-x**3)+(3*x))-1))] }
-
-
-
-def A135353():
- x = SR.var('x')
- return { 'ogf': [(((2-(9*x))+(18*x**2))/((1-(2*x))*((1-x)+x**2)))] }
-
-
-
-def A135360():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((1-x)+x**2))/((1-(2*x))*((1-(2*x))+(2*x**2))))] }
-
-
-
-def A135432():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((2*x**2)+(2*x)+1))/((x+1)*((((x**4-(2*x**3))+x**2)-(2*x))+1))))] }
-
-
-
-def A135435():
- x = SR.var('x')
- return { 'ogf': [(((-7)+(3*x**4))/((-1)+x**4+x**7))] }
-
-
-
-def A135456():
- x = SR.var('x')
- return { 'ogf': [(-((5040*x**7)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A135492():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x+1)*(1+x**2))/((x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A135497():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(14+(33*x)+(12*x**2)+x**3))/(1-x)**6)] }
-
-
-
-def A135509():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(4*x)+x**2)*(1+(13*x)+x**2))/(1-x)**7)] }
-
-
-
-def A135518():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(15*x))))] }
-
-
-
-def A135522():
- x = SR.var('x')
- return { 'ogf': [((x-2)/(((3*x**2)+(2*x))-1))] }
-
-
-
-def A135528():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2))/(1-x**2)),
-(x/(1-(x/(1+(x/(1+(x/(1-x))))))))] }
-
-
-
-def A135556():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+(10*x**2)+(3*x**3)+x**4))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A135575():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**3)+(2*x**2)+x+3))/(((2*x)+1)*(x**2+x+1)*((x**2-x)+1)))] }
-
-
-
-def A135576():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((16*x**3)-(14*x**2))+1))/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A135577():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2000*x**3)-(1110*x**2))+1))/((x-1)*((10*x)-1)*((100*x)-1))))] }
-
-
-
-def A135619():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((x**4-x**3)+(2*x**2)+x+1))/((x**9+x**6+(7*x**3))-1)))] }
-
-
-
-def A135659():
- x = SR.var('x')
- return { 'ogf': [((7+(17*x))/(1-x)**2)] }
-
-
-
-def A135690():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((2*x)-1)*((3*x**2)+1))/((x-1)*((2*x**4)-1))))] }
-
-
-
-def A135712():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x)+(2*x**2))/(1-x)**4)] }
-
-
-
-def A135851():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-x)/((-1)+x+x**3))] }
-
-
-
-def A135854():
- x = SR.var('x')
- return { 'ogf': [(1-((x*((((-6)+(21*x))-(24*x**2))+(8*x**3)))/(((2*x)-1)**2*(x-1)**2))),
-((((1-(8*x**2))+(12*x**3))-(4*x**4))/((1-x)**2*(1-(2*x))**2))] }
-
-
-
-def A135859():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)+(2*x**3)))/(x-1)**4)] }
-
-
-
-def A135863():
- x = SR.var('x')
- return { 'ogf': [exp(asinh((2*x)))**2] }
-
-
-
-def A135908():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((3*x**3)-(2*x**2)-x-2))/((x-1)*((3*x**3)-1))))] }
-
-
-
-def A135909():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((x**6-x**5)+(2*x**3))-x**2-x-2))/((x-1)*((3*x**3)-1))))] }
-
-
-
-def A135914():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(4*x**2))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A135916():
- x = SR.var('x')
- return { 'ogf': [((3*x**3*((-5)+x**2))/(x-1)**5)] }
-
-
-
-def A135918():
- x = SR.var('x')
- return { 'ogf': [((x*((64*x)-5))/((x-1)*((8*x)-1)*((20*x)-1)))] }
-
-
-
-def A135923():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((-(10*x**7))+(279*x**6))-(1071*x**5))+(879*x**4)+(1724*x**3))-(2331*x**2)-(1115*x)-35))/(x-1)**9)] }
-
-
-
-def A135949():
- x = SR.var('x')
- return { 'ogf': [((1-x-(4*x**2))/((1+(2*x))*(1-(2*x)-x**2)))] }
-
-
-
-def A135982():
- x = SR.var('x')
- return { 'ogf': [((127+(16777088*x))/(((16777216*x)-1)*(x-1)))] }
-
-
-
-def A135989():
- x = SR.var('x')
- return { 'ogf': [((3*((31*x**5)+(2*x**4)+(32*x**3)+(32*x**2)+(2*x)+1))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A135990():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x-1)*(x+1))/(((x**5-(2*x**4))+x**2)-1))] }
-
-
-
-def A135991():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x-1)**2*(x+1))/((((x**6-(3*x**5))+(3*x**4))-x)+1))] }
-
-
-
-def A135992():
- x = SR.var('x')
- return { 'ogf': [((-(x*(((-1)-x)+x**3)))/(((x**2+x)-1)*(x**2-x-1)))] }
-
-
-
-def A135994():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-2))/((x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A136010():
- x = SR.var('x')
- return { 'ogf': [((20-(131*x))/(1-(7*x)-(9*x**2)))] }
-
-
-
-def A136016():
- x = SR.var('x')
- return { 'ogf': [((x*(((-8)-(11*x))+x**2))/(x-1)**3)] }
-
-
-
-def A136029():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/sqrt(((1-(2*x)-x**2-x**4)+(2*x**5)+x**6)))] }
-
-
-
-def A136038():
- x = SR.var('x')
- return { 'ogf': [((24*x**2*(1+x)*((2*x**2)+(11*x)+2))/(1-x)**7)] }
-
-
-
-def A136047():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x)+(6*x**2))-(2*x**3))+x**4))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A136161():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-5)-(2*x)-x**2)+(7*x**3)+(3*x**4)))/((x-1)**2*(1+x+x**2)**2)))] }
-
-
-
-def A136184():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**10+x**9)-x**8)+x**6)-x**3-x-1))/((x-1)**4*(x+1)**2*(x**2+x+1))))] }
-
-
-
-def A136185():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**7-(2*x**5))+x**3+x**2)-x-1))/((x-1)**4*(x+1)**2*(x**2+x+1))))] }
-
-
-
-def A136201():
- x = SR.var('x')
- return { 'ogf': [(x**3/((((3*x**4)+(6*x**3))-(4*x**2)-(2*x))+1))] }
-
-
-
-def A136210():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-x**2))/((1-(5*x**2))+x**4))] }
-
-
-
-def A136249():
- x = SR.var('x')
- return { 'ogf': [(((4+(2*x))-(17*x**2))/((1+(2*x))*(1-(2*x))*(1+x)))] }
-
-
-
-def A136252():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A136264():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**2*((x**2-(6*x))+1))/(x-1)**4)] }
-
-
-
-def A136289():
- x = SR.var('x')
- return { 'ogf': [((3*(1+x**2))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A136290():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(2*x**3)+(6*x**2)+(2*x)+1))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A136293():
- x = SR.var('x')
- return { 'ogf': [((2*((25*x)+13))/(x-1)**2)] }
-
-
-
-def A136313():
- x = SR.var('x')
- return { 'ogf': [(-((x*((15*x**10)+(7*x**9)+(21*x**8)+(13*x**7)+(5*x**6)+(19*x**5)+(11*x**4)+(3*x**3)+(17*x**2)+(9*x)+1))/(x**11-1)))] }
-
-
-
-def A136324():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**3))+x**2+x)/(((4*x**4)-(5*x**2))+1))] }
-
-
-
-def A136325():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((x**2-(8*x))+1))] }
-
-
-
-def A136326():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2))+x**3)/((1-x-(4*x**2))+(4*x**3)))] }
-
-
-
-def A136331():
- x = SR.var('x')
- return { 'ogf': [((3*((x+x**2)-(5*x**3)-x**4))/(((1-x-(10*x**2))+(10*x**3)+x**4)-x**5))] }
-
-
-
-def A136362():
- x = SR.var('x')
- return { 'ogf': [((x*((((((4*x**6)-(21*x**5))+(47*x**4))-(94*x**3)-(34*x**2))+(3*x))-1))/(x-1)**5)] }
-
-
-
-def A136376():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x**2))/((x**2+x)-1)**2)] }
-
-
-
-def A136391():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+x**2))/(1-x-x**2)**2)] }
-
-
-
-def A136392():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(5*x)))/(1-x)**3)] }
-
-
-
-def A136396():
- x = SR.var('x')
- return { 'ogf': [((((((-1)+(2*x))-(3*x**2))+x**3)-x**4)/(x-1)**5)] }
-
-
-
-def A136401():
- x = SR.var('x')
- return { 'ogf': [(x**3/((x-1)*((2*x)-1)*((2*x**2)+1)))] }
-
-
-
-def A136444():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1-x))/(((1-(2*x))+x**2)-x**3)**2)] }
-
-
-
-def A136445():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**8+x**7)-(2*x**6)-(3*x**5)-(2*x**4))+(3*x**3)+(2*x**2))-3))/((x-1)**3*(x+1)*(x**2+x+1)*((x**3+x**2)-1))))] }
-
-
-
-def A136530():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x))/(1-(2*x))**3)] }
-
-
-
-def A136576():
- x = SR.var('x')
- return { 'ogf': [(((sqrt(((1+(4*x))-(4*x**2)))+(4*x**2))-(2*x)-1)/(8*x**2))] }
-
-
-
-def A136598():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)+5)/((-x**5)+x**3+1))] }
-
-
-
-def A136619():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3+(4*x**2)+x+1))/(1-x**3))] }
-
-
-
-def A136746():
- x = SR.var('x')
- return { 'ogf': [((((((((x**12+1)-x**11-x**10)+x**8)-x**6)+x**5)-x**3)+x)/((x+1)*(x-1)**2))] }
-
-
-
-def A136775():
- x = SR.var('x')
- return { 'ogf': [(((x-(2*x**2))+x**3)/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A136859():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)))/(1-(10*x**2)))] }
-
-
-
-def A137200():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**4)/(1-x-x**4))] }
-
-
-
-def A137206():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/(1-(2*x**2)))] }
-
-
-
-def A137223():
- x = SR.var('x')
- return { 'ogf': [((3*(1+(7*x)+(20*x**2)))/((1-(8*x))*(1+(8*x))*(1+x)))] }
-
-
-
-def A137241():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(2*x)+x**2)-(4*x**3)-(4*x**4)))/((x-1)**2*(1+x+x**2)**2))] }
-
-
-
-def A137261():
- x = SR.var('x')
- return { 'ogf': [(((((((5764801*x**8)-(5764801*x**7))+(28812*x**4))-(28812*x**3))+(840*x))-1200)/(x-1))] }
-
-
-
-def A137357():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1))/((((x**5+x**3)-(3*x**2))+(3*x))-1))] }
-
-
-
-def A137358():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((((x**5+x**3)-(3*x**2))+(3*x))-1)))] }
-
-
-
-def A137359():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1-x)**2)/((((x**5+x**3)-(3*x**2))+(3*x))-1)**2)] }
-
-
-
-def A137360():
- x = SR.var('x')
- return { 'ogf': [((x**6*(1-x))/((((x**5+x**3)-(3*x**2))+(3*x))-1)**2)] }
-
-
-
-def A137361():
- x = SR.var('x')
- return { 'ogf': [(x**7/((((x**5+x**3)-(3*x**2))+(3*x))-1)**2)] }
-
-
-
-def A137392():
- x = SR.var('x')
- return { 'ogf': [((x*(((-(11*x**2))-(10*x))+9))/((x**2+x)-1)**2)] }
-
-
-
-def A137410():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A137426():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)-x)/((2*x**3)-x-1))] }
-
-
-
-def A137429():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1+(2*x)+(2*x**2)))] }
-
-
-
-def A137444():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(2*x))+(2*x**2)))] }
-
-
-
-def A137447():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-(2*x**2)-(12*x**3))/((4*x**4)-1))] }
-
-
-
-def A137480():
- x = SR.var('x')
- return { 'ogf': [(((21*x)+12)/((-(4*x**2))+1))] }
-
-
-
-def A137495():
- x = SR.var('x')
- return { 'ogf': [(((-2)+x)/((((-1)+(2*x))-x**2)+x**3))] }
-
-
-
-def A137501():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-x)*(1+x)**2))] }
-
-
-
-def A137506():
- x = SR.var('x')
- return { 'ogf': [(((((22*x**9)+(26*x**7))-(83*x**5)-(17*x**4)-(24*x**3))+(124*x**2)+(59*x)+141)/((x**6-x**4-x**2)+1))] }
-
-
-
-def A137693():
- x = SR.var('x')
- return { 'ogf': [((x*((-7)+(198*x)+x**2))/((x-1)*((x**2-(1154*x))+1)))] }
-
-
-
-def A137694():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5-(198*x))+x**2))/((x-1)*((x**2-(1154*x))+1))))] }
-
-
-
-def A137717():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1+(2*x)+(4*x**2)))] }
-
-
-
-def A137718():
- x = SR.var('x')
- return { 'ogf': [(-(((((4*x**3)-(4*x**2))+(4*x))-1)/((4*x**4)+(2*x**2)+1)))] }
-
-
-
-def A137719():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2))/((x-1)**2*(x+1)*(x**2+x+1)))] }
-
-
-
-def A137726():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**7+(2*x**5))-(4*x**4)-(5*x**3))+(4*x**2))-(2*x))+2))/((x-1)**2*(x+1)*((x**3+x)-1))))] }
-
-
-
-def A137739():
- x = SR.var('x')
- return { 'ogf': [((x*((((((x**10+(3*x**9))-(6*x**8)-(26*x**7))+(221*x**5))-(370*x**4))+(162*x**3)+(72*x**2))-(57*x)-1))/(x-1)**7)] }
-
-
-
-def A137740():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**8+(2*x**7))-(7*x**6)-(20*x**5))+(57*x**4))-(20*x**3)-(39*x**2))+(26*x)+1))/(x-1)**6)] }
-
-
-
-def A137741():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**6+x**5)-(8*x**4))+x**3+(16*x**2))-(11*x)-1))/(x-1)**5)] }
-
-
-
-def A137742():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(4*x))-(5*x**2))+x**4))/(1-x)**4)] }
-
-
-
-def A137786():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(8*x))+(14*x**2))/((1-(2*x))*(1-(3*x))*(1-(4*x)))))] }
-
-
-
-def A137787():
- x = SR.var('x')
- return { 'ogf': [((2*((((53*x**3)-(45*x**2))+(12*x))-1))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)))] }
-
-
-
-def A137788():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((4-(71*x))+(444*x**2))-(1164*x**3))+(1080*x**4)))/(((6*x)-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((5*x)-1)))] }
-
-
-
-def A137789():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((488880*x**5)-(572076*x**4))+(231460*x**3))-(36445*x**2))+(1178*x)+127))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)))] }
-
-
-
-def A137790():
- x = SR.var('x')
- return { 'ogf': [((x*((((((23345280*x**6)-(29177136*x**5))+(12543396*x**4))-(1855156*x**3)-(112345*x**2))+(54310*x))-3761))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)))] }
-
-
-
-def A137797():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((3*x**3)+(6*x**2)+(4*x)+2))/((x-1)*(x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A137798():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((3*x**3)+(6*x**2)+(4*x)+2))/((x-1)**2*(x+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A137824():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(2*x)))/(1-(4*x**3)))] }
-
-
-
-def A137881():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**2+(8*x)+1))/((x**4-(22*x**2))+1)))] }
-
-
-
-def A137882():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((1+x)-x**2)+x**3))/(1-x)**3)] }
-
-
-
-def A137885():
- x = SR.var('x')
- return { 'ogf': [(-((48*x**2*(((4*x**2)-(6*x))+3))/((2*x)-1)**3))] }
-
-
-
-def A137928():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A137930():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(7*x))-(3*x**2))+(3*x**3)))/((1-x)**4*(1+x)))] }
-
-
-
-def A137931():
- x = SR.var('x')
- return { 'ogf': [((2*x*((3*x)+5)*(x+1))/(x-1)**4)] }
-
-
-
-def A137932():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**3)/((1+x)*(x-1)**3)))] }
-
-
-
-def A138017():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(6*x**2)))/((1-(3*x)-(2*x**2))+(6*x**3)))] }
-
-
-
-def A138034():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**2))/((1-x)+x**2))] }
-
-
-
-def A138041():
- x = SR.var('x')
- return { 'ogf': [(((6*x)+1)/(((-(6*x**2))-(4*x))+1))] }
-
-
-
-def A138053():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((19440*x**4)+(2160*x**3))-(2304*x**2)-(150*x))+55))/(((3*x)+1)*((6*x)-1)*((6*x)+1)*((15*x)-1)*((12*x**2)-1))))] }
-
-
-
-def A138119():
- x = SR.var('x')
- return { 'ogf': [((10*x)/(((100*x)-1)*((1000*x)-1)))] }
-
-
-
-def A138120():
- x = SR.var('x')
- return { 'ogf': [((x*(((10001000*x**2)-(12100*x))+101))/((x-1)*((10*x)-1)*((1000*x)-1)*((10000*x)-1)))] }
-
-
-
-def A138144():
- x = SR.var('x')
- return { 'ogf': [(-((x*((10*x**2)-1)*((10*x**2)+1))/((x-1)*((10*x)-1))))] }
-
-
-
-def A138145():
- x = SR.var('x')
- return { 'ogf': [(-((x*((10*x**2)-1)*((100*x**4)+(10*x**2)+1))/((x-1)*((10*x)-1))))] }
-
-
-
-def A138146():
- x = SR.var('x')
- return { 'ogf': [(-((x*((10*x)-1)*((10*x)+1)*((100*x**2)+(10*x)+1))/((x-1)*((100*x)-1))))] }
-
-
-
-def A138147():
- x = SR.var('x')
- return { 'ogf': [((10*x)/(((10*x)-1)*((100*x)-1)))] }
-
-
-
-def A138148():
- x = SR.var('x')
- return { 'ogf': [((x*((200*x)-101))/((x-1)*((10*x)-1)*((100*x)-1)))] }
-
-
-
-def A138156():
- x = SR.var('x')
- return { 'ogf': [((1/(x*(1-(4*x))))-((((1-x)/sqrt((1-(4*x))))-1)/x**2))] }
-
-
-
-def A138179():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((21+(6*x))-(32*x**2))+(10*x**3)+(15*x**4))-(8*x**5)))/((1-x)**4*(1+x)**2))] }
-
-
-
-def A138189():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(2*x**2)-x**3)/((1-(2*x**3))+x**6))] }
-
-
-
-def A138190():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**12+(2*x**11)+(5*x**10)+(10*x**9)+(31*x**8)+(20*x**7)+(22*x**6)+(20*x**5)+(31*x**4)+(10*x**3)+(5*x**2)+(2*x)+1))/((x-1)**4*(x+1)**4*(x**2+1)**4))] }
-
-
-
-def A138199():
- x = SR.var('x')
- return { 'ogf': [((14/(1-(196*x)))+(3/(1-(9*x))))] }
-
-
-
-def A138268():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(3*x**2)+x**3)/(1+(3*x)+(8*x**2)+(3*x**3)+x**4))] }
-
-
-
-def A138269():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((((1-(5*x))+(4*x**2))-(5*x**3))+x**4))] }
-
-
-
-def A138278():
- x = SR.var('x')
- return { 'ogf': [(((3*x**3)+(6*x**4)+(4*x**5)+1+(2*x)+(4*x**2))/(1-(5*x**3)))] }
-
-
-
-def A138288():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(10*x))+x**2))] }
-
-
-
-def A138289():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(3*x**2)-(4*x**3))/((-1)+x+x**4))] }
-
-
-
-def A138331():
- x = SR.var('x')
- return { 'ogf': [((16*(x-1))/(x+1)**7)] }
-
-
-
-def A138332():
- x = SR.var('x')
- return { 'ogf': [((64*(x-1))/(x+1)**9)] }
-
-
-
-def A138333():
- x = SR.var('x')
- return { 'ogf': [((256*(x-1))/(x+1)**11)] }
-
-
-
-def A138334():
- x = SR.var('x')
- return { 'ogf': [((1024*(x-1))/(x+1)**13)] }
-
-
-
-def A138364():
- x = SR.var('x')
- return { 'ogf': [(-(((sqrt((1-(4*x**2)))+(2*x**2))-1)/(((x*sqrt((1-(4*x**2))))+(4*x**3))-x)))] }
-
-
-
-def A138365():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-10))/((x+1)*((x**2-(11*x))+1))))] }
-
-
-
-def A138395():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(6*x))+(3*x**2)))] }
-
-
-
-def A138473():
- x = SR.var('x')
- return { 'ogf': [((21*x)/((1-(47*x))+x**2))] }
-
-
-
-def A138573():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/((1-(2*x)-(2*x**2)-(2*x**3))+x**4)))] }
-
-
-
-def A138574():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+x**2)-x**3))/((1-(2*x)-(2*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A138590():
- x = SR.var('x')
- return { 'ogf': [(-((34*x)/((-1)+(76*x)+x**2)))] }
-
-
-
-def A138619():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(7*x))+(13*x**2))-(17*x**3))+(2*x**4))-(8*x**5))+(12*x**6)+(12*x**7))-(8*x**8))/(((((((1-(8*x))+(19*x**2))-(26*x**3))+(14*x**4))-(12*x**5)-(8*x**6))+(20*x**7))-(8*x**8)))] }
-
-
-
-def A138721():
- x = SR.var('x')
- return { 'ogf': [((x*(((101000*x**2)-(2200*x))+101))/((x-1)*((10*x)-1)*((100*x)-1)*((1000*x)-1)))] }
-
-
-
-def A138750():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(6*x**2)+(6*x**3)+(2*x**4)+(6*x**5)+(4*x**6)))/((1+x)*((x**2-x)+1)*(x-1)**2*(1+x+x**2)**2))] }
-
-
-
-def A138766():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3+(2*x))-1))/(((x**4+(4*x**2))-(4*x))+1)))] }
-
-
-
-def A138803():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x-1))/(((x**4+(4*x**2))-(4*x))+1)))] }
-
-
-
-def A138826():
- x = SR.var('x')
- return { 'ogf': [((x*(((1100000000*x**3)-(2000000*x**2))+(888910*x)+101))/((x-1)*((100*x)-1)*((1000*x)-1)*((100000*x)-1)))] }
-
-
-
-def A138894():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*(1-(9*x))))] }
-
-
-
-def A138976():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((1+(5*x))-x**2-x**3))/((1-x)*((1-(10*x**2))+x**4))))] }
-
-
-
-def A138977():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(2*x)))/((1-(7*x))+(4*x**2)))] }
-
-
-
-def A138978():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((8*x**2)-(23*x))+9))/((((10*x**3)-(31*x**2))+(16*x))-1)))] }
-
-
-
-def A138979():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((-27)+(116*x**9))-(206*x**8))+(5284*x**6))-(2464*x**7)-(154*x**5))+(6514*x**3))-(6915*x**4)-(2540*x**2))+(444*x)))/((((((1-(45*x)-(1942*x**8))+(528*x**2))-(278*x**9)-(2592*x**3))+(112*x**10)+(5997*x**4))-(5689*x**5)-(812*x**6))+(4760*x**7))))] }
-
-
-
-def A138984():
- x = SR.var('x')
- return { 'ogf': [((x*(x**6-(4*x**3)-x**2-x-1))/((x-1)**3*(x**2+x+1)**2))] }
-
-
-
-def A138985():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8-(5*x**4)-x**3-x**2-x-1))/((x-1)**3*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A138986():
- x = SR.var('x')
- return { 'ogf': [((x*(x**10-(6*x**5)-x**4-x**3-x**2-x-1))/((x-1)**3*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A138987():
- x = SR.var('x')
- return { 'ogf': [((x*(x**12-(7*x**6)-x**5-x**4-x**3-x**2-x-1))/((x-1)**3*(x+1)**2*((x**2-x)+1)**2*(x**2+x+1)**2))] }
-
-
-
-def A138988():
- x = SR.var('x')
- return { 'ogf': [((x*(x**14-(8*x**7)-x**6-x**5-x**4-x**3-x**2-x-1))/((x-1)**3*(x**6+x**5+x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A138995():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**5)-(6*x**2)-x-1))/((x-1)**2*(x**2+x+1)**2)))] }
-
-
-
-def A138996():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**7)-(7*x**3)-x**2-x-1))/((x-1)**2*(x+1)**2*(x**2+1)**2)))] }
-
-
-
-def A139030():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-4)+(25*x)))/((1-(8*x))+(25*x**2))))] }
-
-
-
-def A139267():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(10*x)))/(((1-(3*x))+(3*x**2))-x**3))] }
-
-
-
-def A139273():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(11*x)))/(1-x)**3)] }
-
-
-
-def A139398():
- x = SR.var('x')
- return { 'ogf': [(-((x-1)**4/(((2*x)-1)*((((x**4-(2*x**3))+(4*x**2))-(3*x))+1))))] }
-
-
-
-def A139482():
- x = SR.var('x')
- return { 'ogf': [((((x**3+(2*x**2))-x)+1)/((((-x**3)+(3*x**2))-(3*x))+1))] }
-
-
-
-def A139488():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(2*x**2)+(2*x**3))/(1-x)**4)] }
-
-
-
-def A139545():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(3*x**2)+x**3)*(1-x)**2)/((1-(2*x))**2*((1-x)+x**2)**2))] }
-
-
-
-def A139570():
- x = SR.var('x')
- return { 'ogf': [((4*x*(2-x))/(1-x)**3)] }
-
-
-
-def A139591():
- x = SR.var('x')
- return { 'ogf': [(-((x*((7*x)+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A139592():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(3*x)))/((1-x)**3*(1+x)))] }
-
-
-
-def A139593():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x)+3))/((x-1)**3*(x+1))))] }
-
-
-
-def A139594():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(3*x)+x**2))/(1-x)**5)] }
-
-
-
-def A139595():
- x = SR.var('x')
- return { 'ogf': [(-((x*(5+(3*x)))/((1+x)*(x-1)**3)))] }
-
-
-
-def A139597():
- x = SR.var('x')
- return { 'ogf': [((x*(7+x))/((1-x)**3*(1+x)))] }
-
-
-
-def A139598():
- x = SR.var('x')
- return { 'ogf': [((8*x)/((1-x)**3*(1+x)))] }
-
-
-
-def A139626():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(6*x))**5)] }
-
-
-
-def A139634():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x)+1))/((x-1)*((2*x)-1)))] }
-
-
-
-def A139635():
- x = SR.var('x')
- return { 'ogf': [((x*((9*x)+1))/((x-1)*((2*x)-1)))] }
-
-
-
-def A139672():
- x = SR.var('x')
- return { 'ogf': [(x/((x**2+x+1)*(x**2+1)*(x+1)**3*(x-1)**6))] }
-
-
-
-def A139697():
- x = SR.var('x')
- return { 'ogf': [((x*((10*x)+1))/((x-1)*((2*x)-1)))] }
-
-
-
-def A139698():
- x = SR.var('x')
- return { 'ogf': [((x*((23*x)+1))/((x-1)*((2*x)-1)))] }
-
-
-
-def A139700():
- x = SR.var('x')
- return { 'ogf': [((x*((28*x)+1))/((x-1)*((2*x)-1)))] }
-
-
-
-def A139701():
- x = SR.var('x')
- return { 'ogf': [((x*((98*x)+1))/((x-1)*((2*x)-1)))] }
-
-
-
-def A139714():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x-1)**2)/(((2*x)-1)*((((x**4-(2*x**3))+(4*x**2))-(3*x))+1))))] }
-
-
-
-def A139741():
- x = SR.var('x')
- return { 'ogf': [((8*x)/((1-(3*x))*(1-(11*x))))] }
-
-
-
-def A139748():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x-1))/(((2*x)-1)*((((x**4-(2*x**3))+(4*x**2))-(3*x))+1)))] }
-
-
-
-def A139757():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x)+(9*x**2))/(x-1)**4)] }
-
-
-
-def A139760():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/(((16*x)-1)*(x-1)))] }
-
-
-
-def A139761():
- x = SR.var('x')
- return { 'ogf': [(-(x**4/(((2*x)-1)*((((x**4-(2*x**3))+(4*x**2))-(3*x))+1))))] }
-
-
-
-def A139790():
- x = SR.var('x')
- return { 'ogf': [((1-x-(3*x**2))/((1+x)*(1-(2*x))**2))] }
-
-
-
-def A139792():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(((16*x)-1)*(x-1)))] }
-
-
-
-def A139797():
- x = SR.var('x')
- return { 'ogf': [(-(x**4/(((2*x)-1)*((x**2-x)+1)*(x+1)**2)))] }
-
-
-
-def A139806():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(3*x**2)-(4*x**3))/(((2*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A139818():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/((1-x)*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A140044():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((25*x**3)-(50*x**2))+(10*x)+1))/(((10*x)-1)*(((125*x**4)-(25*x**2))+1))))] }
-
-
-
-def A140045():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((216*x**4)-(468*x**3)-(78*x**2))+(28*x)+1))/(((3*x)+1)*((6*x)-1)*((6*x)+1)*((15*x)-1)*((12*x**2)-1))))] }
-
-
-
-def A140062():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(99*x)))/((1-x)*(1-(2*x))))] }
-
-
-
-def A140081():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**2)+x+1))/((x-1)*(x+1)*(x**2+1))))] }
-
-
-
-def A140085():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x**6)+(2*x**5)+(2*x**4)+x**3+(2*x**2)+x+1))/((x-1)*(x+1)*(x**2+1)*(x**4+1))))] }
-
-
-
-def A140090():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(2*x)))/(1-x)**3)] }
-
-
-
-def A140091():
- x = SR.var('x')
- return { 'ogf': [((3*x*(2-x))/(1-x)**3)] }
-
-
-
-def A140096():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(2*x)+x**2)-(2*x**3))+x**4))/(((2*x)-1)*(1+x)*((x**2-x)+1)*((x**2+x)-1))))] }
-
-
-
-def A140106():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-x-x**2)+x**3))] }
-
-
-
-def A140107():
- x = SR.var('x')
- return { 'ogf': [(1/((7*x)-1)**4)] }
-
-
-
-def A140143():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((-1)-(32*x))+(5*x**2))-(832*x**3)-(10*x**4)-(2112*x**5))+(10*x**6))-(832*x**7)-(5*x**8)-(32*x**9))+x**10))/((1+x)**6*(x-1)**7))] }
-
-
-
-def A140144():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-x-x**2)+x**3))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A140145():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((1+(8*x))-x**2)+(32*x**3))-x**4)+(8*x**5)+x**6))/((1+x)**4*(x-1)**5)))] }
-
-
-
-def A140146():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+1)*(((x**6-(16*x**5)-(3*x**4)-(160*x**3))+(3*x**2))-(16*x)-1))/((1+x)**5*(x-1)**6)))] }
-
-
-
-def A140147():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((1+(32*x))-(3*x**2))+(832*x**3)+(2*x**4)+(2112*x**5)+(2*x**6)+(832*x**7))-(3*x**8))+(32*x**9)+x**10))/((1+x)**6*(x-1)**7)))] }
-
-
-
-def A140148():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+(6*x**2))-(2*x**3))+x**4+x**5))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A140149():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-1)-(8*x)-(5*x**2)-(32*x**3))+(5*x**4))-(8*x**5))+x**6))/((1+x)**4*(x-1)**5))] }
-
-
-
-def A140150():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(16*x)+(4*x**2)+(176*x**3))-(10*x**4))+(176*x**5)+(4*x**6)+(16*x**7)+x**8))/((1+x)**5*(x-1)**6))] }
-
-
-
-def A140151():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((-1)-(32*x)-(3*x**2)-(832*x**3))+(14*x**4))-(2112*x**5)-(14*x**6)-(832*x**7))+(3*x**8))-(32*x**9))+x**10))/((1+x)**6*(x-1)**7))] }
-
-
-
-def A140152():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-1)-x-(23*x**2))+(3*x**3))-(23*x**4)-(3*x**5)-x**6)+x**7))/((1+x)**4*(x-1)**5))] }
-
-
-
-def A140153():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(2*x)+(23*x**2))-(4*x**3))+(23*x**4)+(2*x**5)+x**6))/((1+x)**4*(x-1)**5)))] }
-
-
-
-def A140154():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+1)*((x**4-(4*x**3))+(22*x**2)+(4*x)+1))/((1+x)**4*(x-1)**5)))] }
-
-
-
-def A140155():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+1)*(((x**6-(16*x**5))+(21*x**4))-(160*x**3)-(21*x**2)-(16*x)-1))/((1+x)**5*(x-1)**6)))] }
-
-
-
-def A140156():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((1+(32*x)+(21*x**2)+(832*x**3))-(22*x**4))+(2112*x**5))-(22*x**6))+(832*x**7)+(21*x**8)+(32*x**9)+x**10))/((1+x)**6*(x-1)**7)))] }
-
-
-
-def A140157():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+x+(76*x**2))-(4*x**3))+(230*x**4)+(6*x**5)+(76*x**6))-(4*x**7))+x**8+x**9))/((1+x)**5*(x-1)**6))] }
-
-
-
-def A140158():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+(2*x)+(76*x**2))-(6*x**3))+(230*x**4)+(6*x**5)+(76*x**6))-(2*x**7))+x**8))/((1+x)**5*(x-1)**6))] }
-
-
-
-def A140159():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+(4*x)+(76*x**2))-(4*x**3))+(230*x**4))-(4*x**5))+(76*x**6)+(4*x**7)+x**8))/((1+x)**5*(x-1)**6))] }
-
-
-
-def A140160():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+(8*x)+(76*x**2)+(24*x**3)+(230*x**4))-(24*x**5))+(76*x**6))-(8*x**7))+x**8))/((1+x)**5*(x-1)**6))] }
-
-
-
-def A140161():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((-1)-(32*x)-(75*x**2)-(832*x**3)-(154*x**4)-(2112*x**5))+(154*x**6))-(832*x**7))+(75*x**8))-(32*x**9))+x**10))/((1+x)**6*(x-1)**7))] }
-
-
-
-def A140162():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((-1)-x-(237*x**2))+(5*x**3))-(1682*x**4)-(10*x**5)-(1682*x**6))+(10*x**7))-(237*x**8)-(5*x**9)-x**10)+x**11))/((1+x)**6*(x-1)**7))] }
-
-
-
-def A140163():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((1+(2*x)+(237*x**2))-(8*x**3))+(1682*x**4)+(12*x**5)+(1682*x**6))-(8*x**7))+(237*x**8)+(2*x**9)+x**10))/((1+x)**6*(x-1)**7)))] }
-
-
-
-def A140165():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1+x)-(3*x**2)))] }
-
-
-
-def A140167():
- x = SR.var('x')
- return { 'ogf': [(-(x/((1+x)-(3*x**2))))] }
-
-
-
-def A140184():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-(12*x)-(16*x**2)))/((-1)+(2*x)+(16*x**2)+(16*x**3)))] }
-
-
-
-def A140201():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((1+x)*(1+x**2)*(1-x)**2))] }
-
-
-
-def A140205():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**6)+(2*x**5)+(2*x**4)+x**3+(2*x**2)+x+1))/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A140226():
- x = SR.var('x')
- return { 'ogf': [((1+x**4)/(1-x)**4)] }
-
-
-
-def A140228():
- x = SR.var('x')
- return { 'ogf': [((1+x**6)/(1-x)**6)] }
-
-
-
-def A140229():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+x**2+x**3)-x**4))/(1-x)**3)] }
-
-
-
-def A140230():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*((2*x**2)-1))/((1-(2*x))+(2*x**2))**2)] }
-
-
-
-def A140236():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+(65*x**2)+(120*x**3)+(80*x**4)+(4*x**5)))/(1-x)**10)] }
-
-
-
-def A140253():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(3*x))-1)/((1-(2*x))*(1-x)*(1+x)))] }
-
-
-
-def A140282():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)**2)/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A140289():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((3*x)+1)*((5*x**2)+(4*x)+1)))] }
-
-
-
-def A140290():
- x = SR.var('x')
- return { 'ogf': [(-(((7*x**2)+(5*x)+1)/(((3*x)+1)*((5*x**2)+(4*x)+1))))] }
-
-
-
-def A140295():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(5*x**2))/((1-(2*x))*(1+x+x**2)))] }
-
-
-
-def A140298():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(6*x**2)+(6*x**3)+(3*x**4))/((1+x+x**2)*(1-(3*x**3))))] }
-
-
-
-def A140300():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(1024*x)))] }
-
-
-
-def A140313():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(x**3+(3*x**2)+(2*x)+1))/(((3*x**3)-1)*(x**2+x+1)))] }
-
-
-
-def A140320():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(7*x**2))/(((1-(7*x))+(15*x**2))-(9*x**3)))] }
-
-
-
-def A140322():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/((x-1)*((4*x)-1)*(1+x)))] }
-
-
-
-def A140354():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x))**10)] }
-
-
-
-def A140360():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**2))-x-1)/((2*x**2)-x-1))] }
-
-
-
-def A140402():
- x = SR.var('x')
- return { 'ogf': [((x**4/((1-x)**2*(1-x**3)))+(x**5/((1-x)*(1-x**2)*(1-x**5))))] }
-
-
-
-def A140403():
- x = SR.var('x')
- return { 'ogf': [(((8*x**4)/((1-x)**2*(1-x**3)))+((8*x**5)/((1-x)*(1-x**2)*(1-x**5))))] }
-
-
-
-def A140404():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(7*x))**6)] }
-
-
-
-def A140405():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(5*x))**7)] }
-
-
-
-def A140406():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x))**7)] }
-
-
-
-def A140413():
- x = SR.var('x')
- return { 'ogf': [(-((x-1)**2/((1+x)*((x**2+(4*x))-1))))] }
-
-
-
-def A140426():
- x = SR.var('x')
- return { 'ogf': [(((-1)-x-(2*x**2)-x**3-(2*x**4)-(2*x**5))/((-1)+(2*x**6)))] }
-
-
-
-def A140427():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**4+x**3+x**2+1))/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A140431():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x-x**2))/((1-x)*(1+(2*x))*(1-(3*x))))] }
-
-
-
-def A140462():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**3+(2*x**2)+x+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A140495():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(6*x**9)+(3*x**5)+(3*x**10)+(9*x**11)+(3*x**3)+(3*x**4)))/(((1-(3*x**3))+(3*x**6))-(3*x**9)))] }
-
-
-
-def A140498():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(((1-(3*x))+(3*x**2))-(3*x**3)))] }
-
-
-
-def A140504():
- x = SR.var('x')
- return { 'ogf': [((5-(9*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A140576():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*(x**2+1)*(x**4+1))/((x-1)*((3*x**4)-1)*((3*x**4)+1)))] }
-
-
-
-def A140672():
- x = SR.var('x')
- return { 'ogf': [((x*(8-(5*x)))/(1-x)**3)] }
-
-
-
-def A140673():
- x = SR.var('x')
- return { 'ogf': [((3*x*(3-(2*x)))/(1-x)**3)] }
-
-
-
-def A140674():
- x = SR.var('x')
- return { 'ogf': [((x*(10-(7*x)))/(1-x)**3)] }
-
-
-
-def A140675():
- x = SR.var('x')
- return { 'ogf': [((x*(11-(8*x)))/(1-x)**3)] }
-
-
-
-def A140676():
- x = SR.var('x')
- return { 'ogf': [((x*(7-x))/(1-x)**3)] }
-
-
-
-def A140677():
- x = SR.var('x')
- return { 'ogf': [((x*(11-(5*x)))/(1-x)**3)] }
-
-
-
-def A140678():
- x = SR.var('x')
- return { 'ogf': [((x*(13-(7*x)))/(1-x)**3)] }
-
-
-
-def A140716():
- x = SR.var('x')
- return { 'ogf': [((x*((7+(18*x))-x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A140724():
- x = SR.var('x')
- return { 'ogf': [(-((((1+(3*x)+x**2)-(3*x**3))+(3*x**4))/((x-1)*((((x**4-x**3)+x**2)-x)+1))))] }
-
-
-
-def A140780():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((x**2-(10*x))+1))] }
-
-
-
-def A140788():
- x = SR.var('x')
- return { 'ogf': [((2*(4-(7*x)))/((1-x)*(1-(4*x))))] }
-
-
-
-def A140800():
- x = SR.var('x')
- return { 'ogf': [(-(((((((1488*x**7)-(3656*x**6))+(2794*x**5))-(569*x**4)-(58*x**3))+(3*x**2)+(2*x))-1)/((1-x)**2*(1-(2*x)))))] }
-
-
-
-def A140802():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x))**4)] }
-
-
-
-def A140811():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x)-(5*x**2))/(x-1)**3)] }
-
-
-
-def A140824():
- x = SR.var('x')
- return { 'ogf': [((x-x**3)/((((1-(3*x))+(2*x**2))-(3*x**3))+x**4))] }
-
-
-
-def A140827():
- x = SR.var('x')
- return { 'ogf': [(((1+x+(2*x**2))-x**3-x**5)/((1-(4*x**3))+x**6))] }
-
-
-
-def A140833():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x))/((1-x-x**2)*((1+x)-x**2)))] }
-
-
-
-def A140870():
- x = SR.var('x')
- return { 'ogf': [((3+(428*x)+(6298*x**2)+(6268*x**3)+(443*x**4))/(1-x)**5)] }
-
-
-
-def A140898():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/(((136*x**2)+(2*x))-1)))] }
-
-
-
-def A140901():
- x = SR.var('x')
- return { 'ogf': [((1+(40*x)+(400*x**2)+(1456*x**3)+(2212*x**4)+(1456*x**5)+(400*x**6)+(40*x**7)+x**8)/(1-x)**16)] }
-
-
-
-def A140925():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(44*x)+(496*x**2)+(2024*x**3)+(3268*x**4)+(2024*x**5)+(496*x**6)+(44*x**7)+x**8))/(1-x)**21)] }
-
-
-
-def A140934():
- x = SR.var('x')
- return { 'ogf': [((1+(55*x)+(825*x**2)+(4950*x**3)+(13860*x**4)+(19404*x**5)+(13860*x**6)+(4950*x**7)+(825*x**8)+(55*x**9)+x**10)/(1-x)**23)] }
-
-
-
-def A140960():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1+x)*(1-(2*x))**2))] }
-
-
-
-def A140961():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)-1))/(((5*x)-1)*((6*x)-1)*((8*x)-1)))] }
-
-
-
-def A140962():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x))/((1+(2*x))*(1-x)**2)))] }
-
-
-
-def A140966():
- x = SR.var('x')
- return { 'ogf': [((2+(3*x))/((1-x)*(1+(2*x))))] }
-
-
-
-def A140975():
- x = SR.var('x')
- return { 'ogf': [(((((((((-1)-(2*x)-(6*x**2)-(7*x**4)-(12*x**6)-(13*x**8))+(4*x**9))-(8*x**10)-(9*x**12))+(2*x**13))-(5*x**16)-(2*x**3))+(4*x**11)+(2*x**15)+(6*x**5)+(6*x**7))-(4*x**14))/((x-1)*(1+x**2)*(1+x+x**2+x**3+x**4)*((((1-x)+x**2)-x**3)+x**4)*((((1-x**2)+x**4)-x**6)+x**8)))] }
-
-
-
-def A140976():
- x = SR.var('x')
- return { 'ogf': [(((-8)-(6*x**2)-(4*x**4)-(2*x**6))/((x-1)*(1+x+x**2+x**3+x**4)*((((1-x)+x**2)-x**3)+x**4)))] }
-
-
-
-def A140986():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+(48*x)+(849*x**2)+(4864*x**3)+(8619*x**4)+(4848*x**5)+(931*x**6)))/(1-x)**9)] }
-
-
-
-def A140991():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(8*x**2))+(8*x**3)+(7*x**4)))/(((-1)+(2*x))*(1+x)**2*(x-1)**3))] }
-
-
-
-def A140992():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-x)+x**3))/((x-1)*((x**2+x)-1)**2)))] }
-
-
-
-def A141000():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**7+(2*x**6)+(2*x**4))-x**3-(4*x**2)-(3*x)-1))/((x-1)**2*(x+1))))] }
-
-
-
-def A141001():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**13-x**12-(2*x**9))+(2*x**8))-x**7)+x**6+x**5)-x**3)+(2*x**2))-(2*x))+1)/((x-1)**3*(x**2+1))))] }
-
-
-
-def A141012():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((-1)+(7*x)))/(((13*x)-1)*(x-1))))] }
-
-
-
-def A141023():
- x = SR.var('x')
- return { 'ogf': [((3*x**2)/((x-1)*((2*x)-1)*(1+x)))] }
-
-
-
-def A141025():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(2*x)+x**2)-(6*x**3))/((1+x)*((2*x)-1)*(x-1)**2))] }
-
-
-
-def A141032():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(((16*x)-1)*(x-1)))] }
-
-
-
-def A141035():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+x)*(((x**4+x**3+(2*x**2))-x)+2))/((1+x+x**2+x**3+x**4)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A141038():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(2-x))/(1-x**2-x**3))] }
-
-
-
-def A141041():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(6*x)-(3*x**2)))] }
-
-
-
-def A141044():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x))-(x**2/(x-1)))] }
-
-
-
-def A141054():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x))**9)] }
-
-
-
-def A141060():
- x = SR.var('x')
- return { 'ogf': [((3-(8*x))/((1-x)*(1-(16*x))))] }
-
-
-
-def A141124():
- x = SR.var('x')
- return { 'ogf': [((((1+(5*x))-(7*x**2))+x**3)/(1+(2*x**2)+x**4))] }
-
-
-
-def A141125():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1+(4*x**2)))] }
-
-
-
-def A141134():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x)-(5*x**2)-(3*x**3)-(2*x**4)-x**5)/((1+x)**2*(x**2+1)**2))] }
-
-
-
-def A141222():
- x = SR.var('x')
- return { 'ogf': [((-(1/(2*x)))+(((2*x)-1)**2/(2*x*(1-(4*x))**(3/2))))] }
-
-
-
-def A141223():
- x = SR.var('x')
- return { 'ogf': [(((3-(12*x))+sqrt((1-(4*x))))/((4-(34*x))+(72*x**2)))] }
-
-
-
-def A141253():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(4*x**2))-(4*x**3)-((1-(2*x))*sqrt((1-(4*x)))))/(2*x*((1-x))**2*sqrt((1-(4*x)))))] }
-
-
-
-def A141259():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(x**5+x**3+1))/((x**2+1)*(x**4+1)*(x-1)**2))] }
-
-
-
-def A141291():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-(4*x))*(x-1)**2))] }
-
-
-
-def A141310():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+x**2)-(2*x**3))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A141325():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x**4)+x**2)/((x+1)*((x**2+x)-1)*((1+x**2)-x)))] }
-
-
-
-def A141342():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x)-(2*x**2))+(x*sqrt((1+(8*x)+(4*x**2))))))] }
-
-
-
-def A141352():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-(5*x**2)-(7*x**3))+x**6)/(((1-x-(2*x**3))+(2*x**4)+x**6)-x**7))] }
-
-
-
-def A141354():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x)-x**2)+x**3)/(((1-(2*x))+(2*x**3))-x**4))] }
-
-
-
-def A141355():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2))+(4*x**3))/((1-(8*x**2))*(1+x**2)))] }
-
-
-
-def A141365():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x**2)-(7*x**3)-(2*x**4))+x**6)/(((1-x-(2*x**3))+(2*x**4)+x**6)-x**7))] }
-
-
-
-def A141384():
- x = SR.var('x')
- return { 'ogf': [((2*((((4-(28*x))+(48*x**2))-(25*x**3))+(2*x**4)))/((1-x)*(((1-(7*x))+(9*x**2))-x**3)))] }
-
-
-
-def A141385():
- x = SR.var('x')
- return { 'ogf': [(((3-(14*x))+(9*x**2))/(((1-(7*x))+(9*x**2))-x**3))] }
-
-
-
-def A141397():
- x = SR.var('x')
- return { 'ogf': [(((-1)-x-x**2)/((1+x)*((3*x)-1)*(x-1)**2))] }
-
-
-
-def A141413():
- x = SR.var('x')
- return { 'ogf': [(-(((1+(2*x))*x)/(1+(3*x))))] }
-
-
-
-def A141416():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(3*x**2)-x**3)/(((2*x**2)-1)*(1+x**2)))] }
-
-
-
-def A141430():
- x = SR.var('x')
- return { 'ogf': [((((6*x**8)-(5*x**7))+x**6+(2*x**5)+(3*x**4)+x**3+1)/((1-x)*(x**2+1)*((x**4-x**2)+1)))] }
-
-
-
-def A141478():
- x = SR.var('x')
- return { 'ogf': [((64*x)/(1-x)**4)] }
-
-
-
-def A141480():
- x = SR.var('x')
- return { 'ogf': [((125*x)/(1-x)**4)] }
-
-
-
-def A141495():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)-1)/((3*x)-1))] }
-
-
-
-def A141496():
- x = SR.var('x')
- return { 'ogf': [((1-(14*x**2))/(1-(5*x)))] }
-
-
-
-def A141499():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x))-(7*x**2)))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A141519():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(3*x**2))+(4*x**3)+(2*x**5))-(5*x**6)-(5*x**8)-x**4)+(4*x**7))/((1+x)*(1+x+x**2+x**3+x**4)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A141527():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2))/((41*x**2)+x+1))] }
-
-
-
-def A141530():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(19*x**2)+(9*x**3))/(1-x)**4)] }
-
-
-
-def A141534():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x)+x**2+x**3)-x**5))/(1-x)**5)] }
-
-
-
-def A141571():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**4)/(1-x**3))] }
-
-
-
-def A141582():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((3*x**3)-x**2)+(2*x)+2))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A141631():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A141683():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2-x**3))/(1-x-(2*x**2)-x**3))] }
-
-
-
-def A141685():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+x+x**2))/(1-x-(2*x**2)-x**3))] }
-
-
-
-def A141725():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A141726():
- x = SR.var('x')
- return { 'ogf': [(-((x*(8+(7*x)+(6*x**2)+(5*x**3)+(4*x**4)+(3*x**5)+(2*x**6)+x**7))/((x-1)*(1+x+x**2)*(x**6+x**3+1))))] }
-
-
-
-def A141752():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(3*x**2))/(((1-(3*x))+x**2)*(1-x)**2))] }
-
-
-
-def A141759():
- x = SR.var('x')
- return { 'ogf': [(((15+(18*x))-x**2)/(1-x)**3)] }
-
-
-
-def A141771():
- x = SR.var('x')
- return { 'ogf': [(((1-sqrt((1-(4*x))))/(2*x))+((8*x**3)/(sqrt((1-(4*x)))*(1+sqrt((1-(4*x))))**3)))] }
-
-
-
-def A141775():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(1+x))/(((2*x)-1)*((x**2-x)+1)))] }
-
-
-
-def A141782():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*((((((16*x**7)-(23*x**6)-(9*x**5))+(18*x**4))-(17*x**3))+(24*x**2)+(8*x))-18))/((x-1)**4*(x+1)**2*(x**2+1))))] }
-
-
-
-def A141844():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2))/((1-x)**2*(1+x+x**2)*(1-(4*x))))] }
-
-
-
-def A141845():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+x**4)/((1-x)**2*(1+x)*(1+x**2)*(1-(5*x))))] }
-
-
-
-def A142069():
- x = SR.var('x')
- return { 'ogf': [(-((x*(3+(7*x)+(2*x**2)+(6*x**3)+x**4+(5*x**5)+(4*x**7)+(8*x**8)))/((x-1)*(1+x+x**2)*(x**6+x**3+1))))] }
-
-
-
-def A142150():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-x**2)**2)] }
-
-
-
-def A142241():
- x = SR.var('x')
- return { 'ogf': [((2*(7+(5*x)))/(1-x)**2)] }
-
-
-
-def A142585():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(2*x**2)+x**3)/((1+(2*x))*((1+x)-x**2)))] }
-
-
-
-def A142586():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(2*x**2)+x**3)/(((1-(3*x))+x**2)*(1-(2*x))))] }
-
-
-
-def A142588():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(1-(14*x)-x**2))] }
-
-
-
-def A142600():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x**11-(7*x**9)-(5*x**8)-(42*x**7)-(4*x**6)-(74*x**5)-(18*x**4)-(55*x**3)-(2*x**2)-(15*x)-1))/((x-1)**3*(x+1)**3*(x**2+1)**3))] }
-
-
-
-def A142702():
- x = SR.var('x')
- return { 'ogf': [((((-5)+(3*x))-(8*x**2))/((x-1)*(1+x**2)))] }
-
-
-
-def A142705():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3+(2*x)+(6*x**2))-x**4))/(1-x**2)**3)] }
-
-
-
-def A142710():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((2*x**6)-(7*x**4)-(6*x**3))+(6*x**2)+x)-1))/(((2*x)-1)*((2*x)+1)*((x**2-(3*x))+1)*(x**2-x-1))))] }
-
-
-
-def A142717():
- x = SR.var('x')
- return { 'ogf': [((x*(((3-x)+(5*x**2))-(3*x**3)))/((1+x)*(1-x)**3))] }
-
-
-
-def A142879():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**4-(2*x**3)-(5*x**2)-(2*x)-1))/((x**6-(5*x**3))+1)))] }
-
-
-
-def A142880():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(x**3-(2*x**2)-x-1))/((1-(7*x**3))+x**6)))] }
-
-
-
-def A142887():
- x = SR.var('x')
- return { 'ogf': [((x*((5510*x**5)-(395*x**3)-(146*x**2)-(3*x)-1))/((13340*x**4)-(52*x**2)-1))] }
-
-
-
-def A142888():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(2*x)+(6*x**2))-x**4))/((1+x)**3*(1-x)**2))] }
-
-
-
-def A142964():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A142965():
- x = SR.var('x')
- return { 'ogf': [(((1+(8*x))-(11*x**2)-(6*x**3))/((1-x)**3*(1-(2*x))**2*(1-(3*x))))] }
-
-
-
-def A142966():
- x = SR.var('x')
- return { 'ogf': [(((((1+(38*x))-(108*x**2)-(242*x**3))+(839*x**4))-(444*x**5)-(180*x**6))/((1-x)**4*(1-(2*x))**3*(1-(3*x))**2*(1-(4*x))))] }
-
-
-
-def A142968():
- x = SR.var('x')
- return { 'ogf': [((((((((1+(144*x))-(425*x**2)-(7382*x**3))+(48451*x**4))-(96764*x**5)-(2559*x**6))+(257002*x**7))-(312444*x**8))+(88344*x**9)+(30240*x**10))/((1-x)**5*(1-(2*x))**4*(1-(3*x))**3*(1-(4*x))**2*(1-(5*x))))] }
-
-
-
-def A142975():
- x = SR.var('x')
- return { 'ogf': [((((x**5-(2*x**4))+x**3+(2*x**2))-x)/(((x**5-x**4-(5*x**3))+x**2+(3*x))-1))] }
-
-
-
-def A142976():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(21*x))+(36*x**2)+(40*x**3)))/(((-1)+(7*x))*((4*x)-1)**2*(x-1)**3)))] }
-
-
-
-def A143008():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)**2/(1-x)**5)] }
-
-
-
-def A143009():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**2*(1+(8*x)+x**2)**2)/(1-x)**7)] }
-
-
-
-def A143010():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x)+(36*x**2)+(16*x**3)+x**4)**2/(1-x)**9)] }
-
-
-
-def A143011():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**2*(1+(24*x)+(76*x**2)+(24*x**3)+x**4)**2)/(1-x)**11)] }
-
-
-
-def A143013():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2)-(4*x**3))))/(2*x**2))] }
-
-
-
-def A143025():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(2*x**2)+(8*x**3))/(1-x**4))] }
-
-
-
-def A143055():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x-x**2))/((1-(2*x)-x**2)+(2*x**3)+(2*x**4)))] }
-
-
-
-def A143056():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x-x**2))/((1-(2*x))+(2*x**3)+x**4))] }
-
-
-
-def A143058():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3+(2*x**2))-(3*x)-1))/(x-1)**4))] }
-
-
-
-def A143059():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(6*x)-x**2)+(9*x**3))-(2*x**4))/(x-1)**5)] }
-
-
-
-def A143060():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(10*x)+(15*x**2))-(25*x**3)-(9*x**4))+(9*x**5)))/(1-x)**6)] }
-
-
-
-def A143079():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(72*x**2))),
-((1-(9*x))/((1-(12*x))*(1-(6*x))))] }
-
-
-
-def A143095():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(2*x**2)))] }
-
-
-
-def A143097():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+(2*x**2))-(2*x**3))+x**4))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A143098():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-x**2)+x**3))/((1-x)*(1+x+x**2)))] }
-
-
-
-def A143099():
- x = SR.var('x')
- return { 'ogf': [((x*(((((5*x**4)-(7*x**3))+(5*x**2))-(3*x))+1))/((1-x)*((x**2-x)+1)*(1-(2*x))**2))] }
-
-
-
-def A143100():
- x = SR.var('x')
- return { 'ogf': [(((((3*x**3)-(2*x**2)-x)+1)*x)/(((x**2-x)+1)*((2*x)-1)*(x-1)))] }
-
-
-
-def A143101():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+(2*x**2))-(2*x**3))+x**4))/((1-x)**3*(1+x+x**2)))] }
-
-
-
-def A143126():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/(1-(2*x))**2)] }
-
-
-
-def A143131():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(5*x**2)+(13*x**3)))/(1-x)**4)] }
-
-
-
-def A143166():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(10*x)+(3*x**2)))/(1-x)**4)] }
-
-
-
-def A143208():
- x = SR.var('x')
- return { 'ogf': [((x*((((3*x**3)-(11*x**2))+(7*x))-2))/(x-1)**3)] }
-
-
-
-def A143212():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1+x)*((1-(3*x))+x**2)*(1-x-x**2)))] }
-
-
-
-def A143281():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((x**2+x)-1)*((x**3+x)-1)))] }
-
-
-
-def A143282():
- x = SR.var('x')
- return { 'ogf': [(x**4/(((x**3+x)-1)*((x**4+x)-1)))] }
-
-
-
-def A143283():
- x = SR.var('x')
- return { 'ogf': [(x**5/(((x**4+x)-1)*((x**5+x)-1)))] }
-
-
-
-def A143284():
- x = SR.var('x')
- return { 'ogf': [(x**6/(((x**5+x)-1)*((x**6+x)-1)))] }
-
-
-
-def A143285():
- x = SR.var('x')
- return { 'ogf': [(x**7/(((x**6+x)-1)*((x**7+x)-1)))] }
-
-
-
-def A143286():
- x = SR.var('x')
- return { 'ogf': [(x**8/(((x**7+x)-1)*((x**8+x)-1)))] }
-
-
-
-def A143287():
- x = SR.var('x')
- return { 'ogf': [(x**9/(((x**8+x)-1)*((x**9+x)-1)))] }
-
-
-
-def A143288():
- x = SR.var('x')
- return { 'ogf': [(x**10/(((x**9+x)-1)*((x**10+x)-1)))] }
-
-
-
-def A143289():
- x = SR.var('x')
- return { 'ogf': [(x**11/(((x**10+x)-1)*((x**11+x)-1)))] }
-
-
-
-def A143290():
- x = SR.var('x')
- return { 'ogf': [(x**12/(((x**11+x)-1)*((x**12+x)-1)))] }
-
-
-
-def A143335():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x**3)-(2*x**5)-x**8-x**4-x**6)+(2*x**9))-x**7)/(((1+x)-x**3-x**4-x**5-x**6-x**7)+x**9+x**10))] }
-
-
-
-def A143366():
- x = SR.var('x')
- return { 'ogf': [((3*x*(9+(280*x)+(734*x**2)+(280*x**3)+(9*x**4)))/(1-x)**6)] }
-
-
-
-def A143367():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((((58624*x**4)-(116832*x**3))+(81760*x**2))-(22926*x))+2353))/((x-1)*((2*x)-1)**2*((4*x)-1)**2)))] }
-
-
-
-def A143369():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((((58624*x**4)-(138336*x**3))+(129424*x**2))-(42762*x))+9151))/((x-1)*((2*x)-1)**2*((4*x)-1)**2)))] }
-
-
-
-def A143399():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-(4*x))*(1-(5*x))*(1-(6*x))*(1-(7*x))*(1-(8*x))))] }
-
-
-
-def A143400():
- x = SR.var('x')
- return { 'ogf': [(x**5/((1-(5*x))*(1-(6*x))*(1-(7*x))*(1-(8*x))*(1-(9*x))*(1-(10*x))))] }
-
-
-
-def A143401():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-(6*x))*(1-(7*x))*(1-(8*x))*(1-(9*x))*(1-(10*x))*(1-(11*x))*(1-(12*x))))] }
-
-
-
-def A143402():
- x = SR.var('x')
- return { 'ogf': [(x**7/((1-(7*x))*(1-(8*x))*(1-(9*x))*(1-(10*x))*(1-(11*x))*(1-(12*x))*(1-(13*x))*(1-(14*x))))] }
-
-
-
-def A143403():
- x = SR.var('x')
- return { 'ogf': [(x**8/((1-(8*x))*(1-(9*x))*(1-(10*x))*(1-(11*x))*(1-(12*x))*(1-(13*x))*(1-(14*x))*(1-(15*x))*(1-(16*x))))] }
-
-
-
-def A143404():
- x = SR.var('x')
- return { 'ogf': [(x**9/((1-(9*x))*(1-(10*x))*(1-(11*x))*(1-(12*x))*(1-(13*x))*(1-(14*x))*(1-(15*x))*(1-(16*x))*(1-(17*x))*(1-(18*x))))] }
-
-
-
-def A143431():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x**2))/(1+x**4))] }
-
-
-
-def A143432():
- x = SR.var('x')
- return { 'ogf': [((1+x**4)/((1-x)*(1+x**2)))] }
-
-
-
-def A143438():
- x = SR.var('x')
- return { 'ogf': [(x/((x**6-x**4-x**3-x**2)+1))] }
-
-
-
-def A143447():
- x = SR.var('x')
- return { 'ogf': [(1/(x**4*(1-x-(2*x**5))))] }
-
-
-
-def A143448():
- x = SR.var('x')
- return { 'ogf': [(1/(x**5*(1-x-(2*x**6))))] }
-
-
-
-def A143449():
- x = SR.var('x')
- return { 'ogf': [(1/(x**6*(1-x-(2*x**7))))] }
-
-
-
-def A143450():
- x = SR.var('x')
- return { 'ogf': [(1/(x**7*(1-x-(2*x**8))))] }
-
-
-
-def A143451():
- x = SR.var('x')
- return { 'ogf': [(1/(x**8*(1-x-(2*x**9))))] }
-
-
-
-def A143452():
- x = SR.var('x')
- return { 'ogf': [(1/(x**9*(1-x-(2*x**10))))] }
-
-
-
-def A143454():
- x = SR.var('x')
- return { 'ogf': [(1/(x**3*(1-x-(3*x**4))))] }
-
-
-
-def A143455():
- x = SR.var('x')
- return { 'ogf': [(1/(x**4*(1-x-(3*x**5))))] }
-
-
-
-def A143456():
- x = SR.var('x')
- return { 'ogf': [(1/(x**5*(1-x-(3*x**6))))] }
-
-
-
-def A143457():
- x = SR.var('x')
- return { 'ogf': [(1/(x**6*(1-x-(3*x**7))))] }
-
-
-
-def A143458():
- x = SR.var('x')
- return { 'ogf': [(1/(x**7*(1-x-(3*x**8))))] }
-
-
-
-def A143459():
- x = SR.var('x')
- return { 'ogf': [(1/(x**8*(1-x-(3*x**9))))] }
-
-
-
-def A143460():
- x = SR.var('x')
- return { 'ogf': [(1/(x**9*(1-x-(3*x**10))))] }
-
-
-
-def A143462():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(4*x)+(8*x**2))),
-(1/(1+((4*x)/(1-((2*x)/(1+(2*x)))))))] }
-
-
-
-def A143464():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-((1+x)*sqrt((1-(4*x)))))/(((2*x**2)+(16*x))-4))] }
-
-
-
-def A143472():
- x = SR.var('x')
- return { 'ogf': [(x/((x**10-x**7-x**5-x**3)+1))] }
-
-
-
-def A143606():
- x = SR.var('x')
- return { 'ogf': [(x/(((1+x)-x**3-x**5-x**6-x**7-x**9)+x**11+x**12))] }
-
-
-
-def A143608():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/(((1+(2*x))-x**2)*(1-(2*x)-x**2)))] }
-
-
-
-def A143609():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(3*x))-(2*x**2)-x**3))/((1-(6*x**2))+x**4))] }
-
-
-
-def A143611():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**2*(((1+x)-x**3-x**4-x**5-x**6-x**7)+x**9+x**10)))] }
-
-
-
-def A143619():
- x = SR.var('x')
- return { 'ogf': [(1/((x**14-x**12-x**7-x**2)+1))] }
-
-
-
-def A143621():
- x = SR.var('x')
- return { 'ogf': [((1-x**4)**2/((1-x)*(1-x**8)))] }
-
-
-
-def A143643():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/((1-(4*x**2))+x**4))] }
-
-
-
-def A143644():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-x**3-x**4)+x**7)-x**10-x**11)+x**14))] }
-
-
-
-def A143647():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+(22*x**2)))] }
-
-
-
-def A143648():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(8*x))+(10*x**2)))] }
-
-
-
-def A143662():
- x = SR.var('x')
- return { 'ogf': [(x**6/(((2*x)-1)*((x**6+x**5+x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A143699():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-x))/((((1-(19*x))+(41*x**2))-(19*x**3))+x**4))] }
-
-
-
-def A143749():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x)-sqrt(((1-(22*x))+(81*x**2))))/2)] }
-
-
-
-def A143785():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)+x**2))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A143787():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**2*(1+x))/((1-(2*x)-(3*x**2))+x**3))] }
-
-
-
-def A143795():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(9*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A143838():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(19*x)+(12*x**2)))/(1-x)**3)] }
-
-
-
-def A143839():
- x = SR.var('x')
- return { 'ogf': [((x*((-(10*x**2))-(21*x)-1))/(x-1)**3)] }
-
-
-
-def A143845():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(4+x**2))/((1-x)*(1+x**4)))] }
-
-
-
-def A143854():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(17*x)+(14*x**2)))/(1-x)**3)] }
-
-
-
-def A143855():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(24*x**2)))/(1-x)**3)] }
-
-
-
-def A143856():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(22*x**2)))/(1-x)**3)] }
-
-
-
-def A143859():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)+(16*x**2)))/(1-x)**3)] }
-
-
-
-def A143860():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(13*x)+(18*x**2)))/(1-x)**3)] }
-
-
-
-def A143861():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(11*x)+(20*x**2)))/(1-x)**3)] }
-
-
-
-def A143938():
- x = SR.var('x')
- return { 'ogf': [((x*((27+x+(5*x**2))-x**3))/(1-x)**4)] }
-
-
-
-def A143941():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(2*x))-x**2))/(1-x)**4)] }
-
-
-
-def A143943():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+x)**2)/(1-x)**4)] }
-
-
-
-def A143945():
- x = SR.var('x')
- return { 'ogf': [((8*x**2*(1+(3*x)+x**2))/(x-1)**6)] }
-
-
-
-def A143975():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-x-x**2)+x**3))/((1+x+x**2)*(x-1)**3))] }
-
-
-
-def A143978():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/((1+x+x**2)*(1-x)**3))] }
-
-
-
-def A144044():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(10*x)))/(((10*x)+1)*((1-(24*x))+(100*x**2))))] }
-
-
-
-def A144065():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-x**3))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A144075():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x**3)-x**4))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A144109():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/((1+x**2)*((1-(5*x))+x**2)))] }
-
-
-
-def A144124():
- x = SR.var('x')
- return { 'ogf': [((1+(316*x)+(1046*x**2)+(316*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A144129():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(22*x)+x**2))/(1-x)**4)] }
-
-
-
-def A144130():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(102*x**2)+(92*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A144133():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(6*x))+x**2)**2)] }
-
-
-
-def A144135():
- x = SR.var('x')
- return { 'ogf': [(x/((x**2-(16*x))+1)**2)] }
-
-
-
-def A144138():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(10*x)+x**2))/(1-x)**4)] }
-
-
-
-def A144139():
- x = SR.var('x')
- return { 'ogf': [((1+(194*x**2)+(184*x**3)+(5*x**4))/(1-x)**5)] }
-
-
-
-def A144314():
- x = SR.var('x')
- return { 'ogf': [((x*(21+(15*x)))/(1-x)**3)] }
-
-
-
-def A144335():
- x = SR.var('x')
- return { 'ogf': [((((((1-(2*x))+(6*x**2))-(3*x**3))+x**4)*x)/(1-x)**5)] }
-
-
-
-def A144380():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((-1)-(126*x))+(483*x**2)+(3884*x**3))-(15300*x**4))+(10848*x**5)+(8960*x**6)))/(((-1)+(10*x))*((-1)+(7*x))**2*((4*x)-1)**3*(x-1)**4)))] }
-
-
-
-def A144390():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(6*x))-x**2))/(1-x)**3)] }
-
-
-
-def A144391():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(4*x))-x**2))/(1-x)**3)] }
-
-
-
-def A144396():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x))/(1-x)**2)] }
-
-
-
-def A144408():
- x = SR.var('x')
- return { 'ogf': [((x*(((((6*x**7)-(5*x**6))+(8*x**5)+(6*x**4))-(8*x**3))+(4*x**2)+(4*x)+1))/((1-x)*(1+x)*(x**2+1)*((x**2-x)+1)*((x**4-x**2)+1)))] }
-
-
-
-def A144413():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1+(3*x)+(2*x**2))-x**3))] }
-
-
-
-def A144414():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-x)**2*(1-(4*x))))] }
-
-
-
-def A144429():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(((1+x**2)-x**3)+(2*x**4)))/((1+x+x**2)*(1-x)**2))] }
-
-
-
-def A144433():
- x = SR.var('x')
- return { 'ogf': [((x*((8+(3*x))-x**3))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A144459():
- x = SR.var('x')
- return { 'ogf': [((1+(21*x)+(8*x**2))/(1-x)**3)] }
-
-
-
-def A144471():
- x = SR.var('x')
- return { 'ogf': [(((6*x)+(7*x**2)+(9*x**3)+1)/(((2*x)+1)*(1+x+x**2)))] }
-
-
-
-def A144472():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)-(9*x**2)))/((1+x)*((2*x)-1)))] }
-
-
-
-def A144476():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((2*x**7)-(3*x**6))+(3*x**5)+(3*x**4))-(3*x**3))+x**2)-x-1))/((x**8-x**4)+1)))] }
-
-
-
-def A144479():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(8*x))+x**2))] }
-
-
-
-def A144516():
- x = SR.var('x')
- return { 'ogf': [((5*(x**2*(2+(17*x)+(2*x**2))))/(1-x)**9)] }
-
-
-
-def A144533():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-(16*x)-1))/(((x**2-(6*x))+1)*(x**2+(6*x)+1))))] }
-
-
-
-def A144534():
- x = SR.var('x')
- return { 'ogf': [(((x**3-(17*x**2))+x+1)/(((x**2-(6*x))+1)*(x**2+(6*x)+1)))] }
-
-
-
-def A144535():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(6*x))-x**2))/(((1-(4*x))+x**2)*(1+(4*x)+x**2)))] }
-
-
-
-def A144536():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(7*x**2))+x**3)/((1-(14*x**2))+x**4))] }
-
-
-
-def A144537():
- x = SR.var('x')
- return { 'ogf': [(((((((574*x)-(5995*x**2))+(4449*x**3))-(178*x**4))+x**5)-3)/((x-1)*((x**2-(14*x))+1)*((x**2-(194*x))+1)))] }
-
-
-
-def A144564():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x))*(((100*x**2)-(10*x))+1))/(((100*x)-1)*(x-1)))] }
-
-
-
-def A144595():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x**3+x**6+x**8))/((x-1)*(1+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x))))] }
-
-
-
-def A144619():
- x = SR.var('x')
- return { 'ogf': [(((11*x)+8)/(1-x)**2)] }
-
-
-
-def A144635():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(5*x))*sqrt((1-(4*x)))))] }
-
-
-
-def A144640():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(5*x))-(2*x**2)))/(1-x)**4)] }
-
-
-
-def A144677():
- x = SR.var('x')
- return { 'ogf': [(1/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A144678():
- x = SR.var('x')
- return { 'ogf': [(1/((x-1)**4*(x**3+x**2+x+1)**2))] }
-
-
-
-def A144701():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x)*((1-(5*x))+x**2))/(1+x+x**2)**4)] }
-
-
-
-def A144704():
- x = SR.var('x')
- return { 'ogf': [((1-(12*x))/(1-(4*x))**2)] }
-
-
-
-def A144706():
- x = SR.var('x')
- return { 'ogf': [((3/sqrt((1-(4*x))))-2)] }
-
-
-
-def A144707():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+(4*x**3)+(2*x**4))/((1-x**2)*(1-x-x**2)))] }
-
-
-
-def A144708():
- x = SR.var('x')
- return { 'ogf': [((1-(30*x))/(1-(6*x))**2)] }
-
-
-
-def A144720():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(4*x))+x**2))] }
-
-
-
-def A144721():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(4*x))+x**2))] }
-
-
-
-def A144797():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)*(1+x+x**2))/(((x**2+(2*x))-1)*(x**2-(2*x)-1)))] }
-
-
-
-def A144841():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((1-(9*x))+(37*x**2))-(84*x**3))+(111*x**4))-(76*x**5))+(9*x**6)+(18*x**7)+(274*x**8))-x**9))/(1-x)**10)] }
-
-
-
-def A144843():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)))/((1-(36*x))*(1-(4*x))*(1-(12*x))))] }
-
-
-
-def A144844():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-(2*x))*((1-(12*x))+(4*x**2))))] }
-
-
-
-def A144863():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(100*x)))/(((10000*x)-1)*(x-1)))] }
-
-
-
-def A144864():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(((16*x)-1)*(x-1)))] }
-
-
-
-def A144897():
- x = SR.var('x')
- return { 'ogf': [(x/(((((1-(4*x))+(6*x**2))-(5*x**3))+(4*x**4))-(3*x**5)))] }
-
-
-
-def A144898():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-x**3)*(1-x)**4))] }
-
-
-
-def A144899():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-x**3)*(1-x)**5))] }
-
-
-
-def A144900():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-x**3)*(1-x)**6))] }
-
-
-
-def A144901():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-x**3)*(1-x)**7))] }
-
-
-
-def A144902():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-x**3)*(1-x)**8))] }
-
-
-
-def A144927():
- x = SR.var('x')
- return { 'ogf': [((7*x*(((-1)-(55*x))+(2*x**2)))/((x-1)*((x**2-(110*x))+1)))] }
-
-
-
-def A144930():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1))/((x**2-(110*x))+1)))] }
-
-
-
-def A144941():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(35*x))-(437*x**2))+(205*x**3)+(4*x**4)))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1))))] }
-
-
-
-def A144945():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(3+(2*x)))/(1-x)**4)] }
-
-
-
-def A144965():
- x = SR.var('x')
- return { 'ogf': [((4*x*(5+(14*x)+(5*x**2)))/(1-x)**4)] }
-
-
-
-def A144969():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*((720*x**5)+(3708*x**4)+(4400*x**3)+(1452*x**2)+(114*x)+1))/(x-1)**13))] }
-
-
-
-def A145018():
- x = SR.var('x')
- return { 'ogf': [((x*((4-(7*x))+(4*x**2)))/(1-x)**3)] }
-
-
-
-def A145020():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(42*x)))/((1-(42*x))*((1-(112*x))+(1764*x**2))))] }
-
-
-
-def A145027():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(x-2)*x)/((-1)+x+x**2+x**3))] }
-
-
-
-def A145028():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(2*x)+(2*x**2)))/(1-x-x**2-x**3-x**4))] }
-
-
-
-def A145029():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-x)+(2*x**3)+(5*x**4)))/((-1)+x+x**2+x**3+x**4+x**5))] }
-
-
-
-def A145030():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((5*x**4)+(2*x**3))-x-1))/((x**6+x**5+x**4+x**3+x**2+x)-1))] }
-
-
-
-def A145051():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-x**3))/(1-x**2)**2)] }
-
-
-
-def A145052():
- x = SR.var('x')
- return { 'ogf': [((x**3*((3+(4*x)+(4*x**2))-(5*x**3)))/((1-x-(3*x**3))+(3*x**4)))] }
-
-
-
-def A145063():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**3)-x**5)/(1+x**2)**3)] }
-
-
-
-def A145066():
- x = SR.var('x')
- return { 'ogf': [((x*((2-x)+x**2))/(1-x)**4)] }
-
-
-
-def A145067():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((1-(5*x))+(2*x**2)))/(1-x)**4))] }
-
-
-
-def A145068():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(3*x))+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A145069():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+x**2))/(1-x)**4)] }
-
-
-
-def A145070():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**2)-(6*x))+3))/((x-1)**3*((2*x)-1)))] }
-
-
-
-def A145071():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(4*x)))/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A145112():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**5)/(((1-(3*x))+(2*x**2)+x**5)-x**6))] }
-
-
-
-def A145113():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**6)/(((1-(3*x))+(2*x**2)+x**6)-x**7))] }
-
-
-
-def A145114():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**7)/(((1-(3*x))+(2*x**2)+x**7)-x**8))] }
-
-
-
-def A145115():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**8)/(((1-(3*x))+(2*x**2)+x**8)-x**9))] }
-
-
-
-def A145116():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**9)/(((1-(3*x))+(2*x**2)+x**9)-x**10))] }
-
-
-
-def A145117():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**10)/(((1-(3*x))+(2*x**2)+x**10)-x**11))] }
-
-
-
-def A145120():
- x = SR.var('x')
- return { 'ogf': [(-((38*x*((-1)+x))/((1-(302*x))+x**2)))] }
-
-
-
-def A145121():
- x = SR.var('x')
- return { 'ogf': [(-((361*x*(x-1))/((x**2-(302*x))+1)))] }
-
-
-
-def A145122():
- x = SR.var('x')
- return { 'ogf': [((19*x*(((-2)-(151*x))+(3*x**2)))/((x-1)*((x**2-(302*x))+1)))] }
-
-
-
-def A145123():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+x))/((1-(302*x))+x**2)))] }
-
-
-
-def A145124():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(151*x))+(3*x**2)))/((x-1)*((x**2-(302*x))+1)))] }
-
-
-
-def A145126():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-(4*x**3))+(6*x**2))-(3*x))+1)/(1-x)**5)] }
-
-
-
-def A145127():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-(4*x**3))+(6*x**2))-(3*x))+1)/(1-x)**6)] }
-
-
-
-def A145128():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-(4*x**3))+(6*x**2))-(3*x))+1)/(1-x)**7)] }
-
-
-
-def A145129():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-(4*x**3))+(6*x**2))-(3*x))+1)/(1-x)**8)] }
-
-
-
-def A145130():
- x = SR.var('x')
- return { 'ogf': [(((((((((x**8-(8*x**7))+(28*x**6))-(56*x**5))+(71*x**4))-(60*x**3))+(34*x**2))-(11*x))+2)/(1-x)**9)] }
-
-
-
-def A145139():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)**2)/(((2*x)-1)*((x**4+x)-1)))] }
-
-
-
-def A145205():
- x = SR.var('x')
- return { 'ogf': [(-((4154*x*(x-1))/((x**2-(1030190*x))+1)))] }
-
-
-
-def A145207():
- x = SR.var('x')
- return { 'ogf': [(-((139159*x*(x-1))/((x**2-(1030190*x))+1)))] }
-
-
-
-def A145209():
- x = SR.var('x')
- return { 'ogf': [((67*x*((147*x**2)-(515095*x)-146))/((x-1)*((x**2-(1030190*x))+1)))] }
-
-
-
-def A145210():
- x = SR.var('x')
- return { 'ogf': [(-((31*x*(x-1))/((x**2-(1030190*x))+1)))] }
-
-
-
-def A145212():
- x = SR.var('x')
- return { 'ogf': [((x*((87*x**2)-(515035*x)-146))/((x-1)*((x**2-(1030190*x))+1)))] }
-
-
-
-def A145216():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2)**2)/(1-x)**8)] }
-
-
-
-def A145217():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2*(1+(10*x)+x**2)**2)/(1-x)**10)] }
-
-
-
-def A145218():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(26*x**3)+(66*x**2)+(26*x)+1)**2)/(x-1)**12)] }
-
-
-
-def A145301():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+(30*x**2)))] }
-
-
-
-def A145302():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+(42*x**2)))] }
-
-
-
-def A145303():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(56*x**2)))] }
-
-
-
-def A145304():
- x = SR.var('x')
- return { 'ogf': [(-((3002*x*(x-1))/((x**2-(456302*x))+1)))] }
-
-
-
-def A145305():
- x = SR.var('x')
- return { 'ogf': [((195*x*(x+1))/((x**2-(456302*x))+1))] }
-
-
-
-def A145306():
- x = SR.var('x')
- return { 'ogf': [(-((118579*x*((-1)+x))/((1-(456302*x))+x**2)))] }
-
-
-
-def A145307():
- x = SR.var('x')
- return { 'ogf': [((79*x*(((-97)-(228151*x))+(98*x**2)))/((x-1)*((x**2-(456302*x))+1)))] }
-
-
-
-def A145308():
- x = SR.var('x')
- return { 'ogf': [(-((19*x*(x-1))/((x**2-(456302*x))+1)))] }
-
-
-
-def A145309():
- x = SR.var('x')
- return { 'ogf': [((x*((98*x**2)-(228151*x)-97))/((x-1)*((x**2-(456302*x))+1)))] }
-
-
-
-def A145318():
- x = SR.var('x')
- return { 'ogf': [(-((434*x*(x-1))/((x**2-(24302*x))+1)))] }
-
-
-
-def A145319():
- x = SR.var('x')
- return { 'ogf': [((45*x*(x+1))/((x**2-(24302*x))+1))] }
-
-
-
-def A145320():
- x = SR.var('x')
- return { 'ogf': [(-((6727*x*(x-1))/((x**2-(24302*x))+1)))] }
-
-
-
-def A145321():
- x = SR.var('x')
- return { 'ogf': [((31*x*((23*x**2)-(12151*x)-22))/((x-1)*((x**2-(24302*x))+1)))] }
-
-
-
-def A145322():
- x = SR.var('x')
- return { 'ogf': [(-((7*x*(x-1))/((x**2-(24302*x))+1)))] }
-
-
-
-def A145323():
- x = SR.var('x')
- return { 'ogf': [((x*((23*x**2)-(12151*x)-22))/((x-1)*((x**2-(24302*x))+1)))] }
-
-
-
-def A145331():
- x = SR.var('x')
- return { 'ogf': [(-((602*x*(x-1))/((x**2-(33710*x))+1)))] }
-
-
-
-def A145332():
- x = SR.var('x')
- return { 'ogf': [((53*x*(x+1))/((x**2-(33710*x))+1))] }
-
-
-
-def A145333():
- x = SR.var('x')
- return { 'ogf': [(-((12943*x*(x-1))/((x**2-(33710*x))+1)))] }
-
-
-
-def A145334():
- x = SR.var('x')
- return { 'ogf': [((43*x*((27*x**2)-(16855*x)-26))/((x-1)*((x**2-(33710*x))+1)))] }
-
-
-
-def A145335():
- x = SR.var('x')
- return { 'ogf': [(-((7*x*(x-1))/((x**2-(33710*x))+1)))] }
-
-
-
-def A145336():
- x = SR.var('x')
- return { 'ogf': [((x*((27*x**2)-(16855*x)-26))/((x-1)*((x**2-(33710*x))+1)))] }
-
-
-
-def A145401():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x-1)*(((((x**11-x**10)+(3*x**9)+(12*x**8))-(3*x**7)-(3*x**4))+(21*x**3))-(3*x**2)-1))/((((((((((2*x**14)-(4*x**13))+(28*x**12)+(42*x**11))-(82*x**10)-(8*x**9))+(118*x**8))-(66*x**7)-(35*x**6))+(90*x**5)+(12*x**4))-(63*x**3))+(14*x**2)+(5*x))-1)))] }
-
-
-
-def A145404():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**5+(12*x**4))-(46*x**3)-(4*x**2))+(41*x)+8))/((((x**6+(12*x**5))-(47*x**4)-(8*x**3))+(47*x**2)+(12*x))-1)))] }
-
-
-
-def A145405():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((((2124*x**5)-(403*x**4)-(3941*x**3))+(2010*x**2))-(181*x)-5))/(((((8496*x**6)-(3148*x**5)-(17644*x**4))+(10329*x**3))-(585*x**2)-(113*x))+1)))] }
-
-
-
-def A145407():
- x = SR.var('x')
- return { 'ogf': [((24*x*(((2.268414568E9*x**4)+(20934334*x**3)+(212212*x**2)+(30*x))-5))/(((6*x)-1)*((((140544*x**3)+(20544*x**2))-(344*x))+1)))] }
-
-
-
-def A145409():
- x = SR.var('x')
- return { 'ogf': [((x*((15+(61*x))-(21*x**2)-x**3))/((1-(21*x)-(62*x**2))+(21*x**3)+x**4))] }
-
-
-
-def A145410():
- x = SR.var('x')
- return { 'ogf': [(-((10*x*(((1048*x**3)+(3046*x**2))-(592*x)-7))/((((10480*x**4)+(31008*x**3))-(7160*x**2)-(264*x))+1)))] }
-
-
-
-def A145525():
- x = SR.var('x')
- return { 'ogf': [(-((182*x*(x-1))/((x**2-(1454*x))+1)))] }
-
-
-
-def A145526():
- x = SR.var('x')
- return { 'ogf': [((11*x*(x+1))/((x**2-(1454*x))+1))] }
-
-
-
-def A145527():
- x = SR.var('x')
- return { 'ogf': [(-((8281*x*(x-1))/((x**2-(1454*x))+1)))] }
-
-
-
-def A145528():
- x = SR.var('x')
- return { 'ogf': [((91*(((-5)-(727*x))+(6*x**2)))/((((-1)+(1455*x))-(1455*x**2))+x**3))] }
-
-
-
-def A145529():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1))/((x**2-(1454*x))+1)))] }
-
-
-
-def A145530():
- x = SR.var('x')
- return { 'ogf': [((x*((6*x**2)-(727*x)-5))/((x-1)*((x**2-(1454*x))+1)))] }
-
-
-
-def A145542():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-x**2))/((1-(8*x**2))+x**4))] }
-
-
-
-def A145543():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x)+x**2)-x**3))/((1-(8*x**2))+x**4))] }
-
-
-
-def A145544():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(((4*x)-1)*((3*x)-1)))] }
-
-
-
-def A145593():
- x = SR.var('x')
- return { 'ogf': [((1-x-(11*x**2))/((1+(2*x))*(1+x)*(x-1)))] }
-
-
-
-def A145607():
- x = SR.var('x')
- return { 'ogf': [((x*(4-x))/((1-x)*((1-(8*x))+x**2)))] }
-
-
-
-def A145608():
- x = SR.var('x')
- return { 'ogf': [(-((3*x)/((x-1)*((x**2-(8*x))+1))))] }
-
-
-
-def A145641():
- x = SR.var('x')
- return { 'ogf': [((x*(((40*x**2)-(24*x))+5))/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)))] }
-
-
-
-def A145654():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-x)**2*(1-(2*x))))] }
-
-
-
-def A145655():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-x)**2*(1-(4*x))))] }
-
-
-
-def A145678():
- x = SR.var('x')
- return { 'ogf': [(-((21*x*((20+(23*x))-x**2))/(x-1)**3))] }
-
-
-
-def A145693():
- x = SR.var('x')
- return { 'ogf': [(-((14*x*(x-1))/((x**2-(110*x))+1)))] }
-
-
-
-def A145694():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x+1))/((x**2-(302*x))+1))] }
-
-
-
-def A145695():
- x = SR.var('x')
- return { 'ogf': [(-((74*x*(x-1))/((x**2-(590*x))+1)))] }
-
-
-
-def A145696():
- x = SR.var('x')
- return { 'ogf': [((7*x*(x+1))/((x**2-(590*x))+1))] }
-
-
-
-def A145697():
- x = SR.var('x')
- return { 'ogf': [(-((1369*x*(x-1))/((x**2-(590*x))+1)))] }
-
-
-
-def A145699():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((x**2-(590*x))+1))] }
-
-
-
-def A145700():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**2)-(295*x)-3))/((x-1)*((x**2-(590*x))+1)))] }
-
-
-
-def A145715():
- x = SR.var('x')
- return { 'ogf': [(-((254*x*(x-1))/((x**2-(2030*x))+1)))] }
-
-
-
-def A145716():
- x = SR.var('x')
- return { 'ogf': [((13*x*(x+1))/((x**2-(2030*x))+1))] }
-
-
-
-def A145717():
- x = SR.var('x')
- return { 'ogf': [(-((16129*x*(x-1))/((x**2-(2030*x))+1)))] }
-
-
-
-def A145718():
- x = SR.var('x')
- return { 'ogf': [((127*x*((7*x**2)-(1015*x)-6))/((x-1)*((x**2-(2030*x))+1)))] }
-
-
-
-def A145720():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**2)-(1015*x)-6))/((x-1)*((x**2-(2030*x))+1)))] }
-
-
-
-def A145721():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1))/((x**2-(2030*x))+1)))] }
-
-
-
-def A145729():
- x = SR.var('x')
- return { 'ogf': [(-((8*x)/((x-1)**2*((8*x)-1))))] }
-
-
-
-def A145730():
- x = SR.var('x')
- return { 'ogf': [(-((4*x)/((x-1)**2*((8*x)-1))))] }
-
-
-
-def A145766():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-x)**2*(1-(4*x))))] }
-
-
-
-def A145820():
- x = SR.var('x')
- return { 'ogf': [(((((-(9*x**6))-(7*x**5)-(9*x**4))+(39*x**3))-(7*x**2)-x-8)/(((x**7-x**6-(6*x**4))+(6*x**3)+x)-1))] }
-
-
-
-def A145839():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/((2*(1-x)**3)-1))] }
-
-
-
-def A145840():
- x = SR.var('x')
- return { 'ogf': [((1-x)**4/((2*(1-x)**4)-1))] }
-
-
-
-def A145841():
- x = SR.var('x')
- return { 'ogf': [((1-x)**5/((2*(1-x)**5)-1))] }
-
-
-
-def A145885():
- x = SR.var('x')
- return { 'ogf': [((4*(x**2*(((8*x)-1)+(3*sqrt((1-(4*x)))))))/((1+sqrt((1-(4*x))))**3*(1-(4*x))**(3/2)))] }
-
-
-
-def A145910():
- x = SR.var('x')
- return { 'ogf': [((((-2)-(8*x))+x**2)/(x-1)**3)] }
-
-
-
-def A145919():
- x = SR.var('x')
- return { 'ogf': [((-(x**4*(((x**4+(2*x**3))-(3*x**2))+(2*x)+1)))/((x-1)**3*(1+x**2+x)**3))] }
-
-
-
-def A145924():
- x = SR.var('x')
- return { 'ogf': [((9+(3*x)+(5*x**2)+(5*x**3)+(3*x**4))/((1-x)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A145979():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x)+(4*x**2)+(10*x**3)+x**4+(2*x**5))-(2*x**7))/((x-1)**2*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A145980():
- x = SR.var('x')
- return { 'ogf': [(((29+(52*x))-(7*x**2))/(1-x)**3)] }
-
-
-
-def A146005():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x))-x**2))/(1-x-x**2)**2)] }
-
-
-
-def A146079():
- x = SR.var('x')
- return { 'ogf': [(-((2+(4*x)+(8*x**2)+(5*x**3)+(4*x**4)+(5*x**5)+(8*x**6)+(4*x**7)+(2*x**8))/((x-1)*(1+x+x**2)*(x**6+x**3+1))))] }
-
-
-
-def A146081():
- x = SR.var('x')
- return { 'ogf': [((2*(55-(18*x)))/(1-x)**2)] }
-
-
-
-def A146086():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((15*x**2)-(16*x))+3))/((x-1)*((3*x)-1)*((5*x)-1))))] }
-
-
-
-def A146298():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A146311():
- x = SR.var('x')
- return { 'ogf': [(((5*x)+1)/(x**2+(10*x)+1))] }
-
-
-
-def A146312():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**2+(22*x)+1))/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A146313():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((x**2-(18*x))+1))/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A146321():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(4+(10*x)+(7*x**2)))/(((2*x)+1)*(1+x+x**2))))] }
-
-
-
-def A146501():
- x = SR.var('x')
- return { 'ogf': [((((4+(4*x))-x**2)+(2*x**3))/((1-x)*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A146509():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(13*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A146535():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(5*x**2)+x**4))/((1-x)**2*(1+x+x**2)**2))] }
-
-
-
-def A146559():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x/(1+(x/(1-(2*x)))))))] }
-
-
-
-def A146763():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(6*x)))/((1-x)**2*(1+x)))] }
-
-
-
-def A146882():
- x = SR.var('x')
- return { 'ogf': [(5/(((4*x)-1)*(x-1)))] }
-
-
-
-def A146951():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(4*x)))/((1-x)**2*(1+x)))] }
-
-
-
-def A146962():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+(19*x**2)))] }
-
-
-
-def A146963():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(6*x))+(2*x**2)))] }
-
-
-
-def A146964():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(8*x))+(9*x**2)))] }
-
-
-
-def A146965():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+(18*x**2)))] }
-
-
-
-def A146966():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+(29*x**2)))] }
-
-
-
-def A146983():
- x = SR.var('x')
- return { 'ogf': [(((x**2-x)+1)/((x+1)*((x**2-(4*x))+1)))] }
-
-
-
-def A146994():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**3+x**4+x**5))/((1+x+x**2)*((1-x)+x**2)*(1+x)**2*(1-x)**3))] }
-
-
-
-def A147296():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(7*x)))/(1-x)**3)] }
-
-
-
-def A147525():
- x = SR.var('x')
- return { 'ogf': [(-((1818362*x*(x-1))/((x**2-(1.2840545099E11*x))+1)))] }
-
-
-
-def A147526():
- x = SR.var('x')
- return { 'ogf': [((103443*x*(x+1))/((x**2-(1.2840545099E11*x))+1))] }
-
-
-
-def A147527():
- x = SR.var('x')
- return { 'ogf': [(-((93645643*x*(x-1))/((x**2-(1.2840545099E11*x))+1)))] }
-
-
-
-def A147528():
- x = SR.var('x')
- return { 'ogf': [((103*x*((51722*x**2)-(6.4202725495E10*x)-51721))/((x-1)*((x**2-(1.2840545099E11*x))+1)))] }
-
-
-
-def A147529():
- x = SR.var('x')
- return { 'ogf': [(-((8827*x*(x-1))/((x**2-(1.2840545099E11*x))+1)))] }
-
-
-
-def A147530():
- x = SR.var('x')
- return { 'ogf': [((x*((1800051722*x**2)-(6.4202725495E10*x)-51721))/((x-1)*((x**2-(1.2840545099E11*x))+1)))] }
-
-
-
-def A147534():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2+x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A147535():
- x = SR.var('x')
- return { 'ogf': [(((5-(27*x))+(32*x**2))/((1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A147536():
- x = SR.var('x')
- return { 'ogf': [((5-(19*x))/((1-(4*x))*(1-(3*x))))] }
-
-
-
-def A147537():
- x = SR.var('x')
- return { 'ogf': [((2*x*((4*x)+1))/(((2*x)-1)*((8*x)-1)))] }
-
-
-
-def A147538():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((4*x)-1)*((8*x)-1)))] }
-
-
-
-def A147539():
- x = SR.var('x')
- return { 'ogf': [((x*(((136*x**2)-(36*x))+5))/((x-1)*((2*x)-1)*((8*x)-1)*((16*x)-1)))] }
-
-
-
-def A147543():
- x = SR.var('x')
- return { 'ogf': [(((6-(35*x))+(41*x**2))/((1-(3*x))*(1-(2*x))*(1-(5*x))))] }
-
-
-
-def A147546():
- x = SR.var('x')
- return { 'ogf': [(((7-(41*x))+(42*x**2))/((1-(6*x))*(1-(3*x))*(1-(2*x))))] }
-
-
-
-def A147567():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**7+(4*x**6))-x**5)+x**4)-(4*x**3)-(3*x**2)-x-2)/((x**8-x**4)+1)))] }
-
-
-
-def A147587():
- x = SR.var('x')
- return { 'ogf': [((7*(1+x))/(x-1)**2)] }
-
-
-
-def A147589():
- x = SR.var('x')
- return { 'ogf': [((x*((100*x)+1))/(((10*x)-1)*((1000*x)-1)))] }
-
-
-
-def A147590():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(((8*x)-1)*((2*x)-1)))] }
-
-
-
-def A147592():
- x = SR.var('x')
- return { 'ogf': [(1/((x**3-x-1)*((x**3+x**2)-1)))] }
-
-
-
-def A147593():
- x = SR.var('x')
- return { 'ogf': [(1/((x**4-x**3-1)*((x**4+x)-1)))] }
-
-
-
-def A147595():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**2)-1)*((2*x**2)+1))/((x-1)*((2*x)-1))))] }
-
-
-
-def A147596():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**2)-1)*((4*x**4)+(2*x**2)+1))/((x-1)*((2*x)-1))))] }
-
-
-
-def A147597():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1)*((2*x)-1)*((4*x**2)+(2*x)+1))/(((4*x)-1)*(1-x)))] }
-
-
-
-def A147598():
- x = SR.var('x')
- return { 'ogf': [(1/((((x**5-x**4-x**3)+x**2)-1)*(((x**5-x**3)+x**2+x)-1)))] }
-
-
-
-def A147601():
- x = SR.var('x')
- return { 'ogf': [((7+(4*x)+(7*x**2))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A147604():
- x = SR.var('x')
- return { 'ogf': [((x**3-x**2-1)/(((x**5-x**3)+x**2+x)-1))] }
-
-
-
-def A147605():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+x)-x**3-(2*x**4)-(3*x**5)-(5*x**6)-(7*x**7)-(5*x**8)-(3*x**9)-(2*x**10)-x**11)+x**13+x**14))] }
-
-
-
-def A147606():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-x-(2*x**2))+x**3+(3*x**4))-(5*x**6))+(3*x**8)+x**9)-(2*x**10)-x**11)+x**12))] }
-
-
-
-def A147607():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-(4*x**2))+(4*x**4)+(4*x**6))-(11*x**8))+(4*x**10)+(4*x**12))-(4*x**14))+x**16))] }
-
-
-
-def A147611():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((2*x**2)-x)+2))/((1-x)**6*(1+x+x**2)**2))] }
-
-
-
-def A147617():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-x-(2*x**2))+x**3+x**4+(2*x**5))-(5*x**7))+(2*x**9)+x**10+x**11)-(2*x**12)-x**13)+x**14))] }
-
-
-
-def A147618():
- x = SR.var('x')
- return { 'ogf': [((3*(x**4*((((x**4-x**3)+(3*x**2))-x)+1)))/((1-x)**9*(1+x+x**2)**3))] }
-
-
-
-def A147620():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-x-(2*x**2))+x**3+x**4+(2*x**6))-(5*x**8))+(2*x**10)+x**12+x**13)-(2*x**14)-x**15)+x**16))] }
-
-
-
-def A147621():
- x = SR.var('x')
- return { 'ogf': [(((x**4*(((2*x**2)-x)+2))*(((((2*x**4)-(2*x**3))+(9*x**2))-(2*x))+2))/((1-x)**12*(1+x+x**2)**4))] }
-
-
-
-def A147622():
- x = SR.var('x')
- return { 'ogf': [(1/((((((1-x-(2*x**2))+x**3+x**4+(2*x**7))-(5*x**9))+(2*x**11)+x**14+x**15)-(2*x**16)-x**17)+x**18))] }
-
-
-
-def A147623():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)*(1+x**2))/((1-x)**3*(1+x+x**2)))] }
-
-
-
-def A147652():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**4-x**5-x**6)+x**10))] }
-
-
-
-def A147656():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x+x**2))/(1-x)**4)] }
-
-
-
-def A147663():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((x**3+x**2)-1)*((((((x**8-x**7)+x**5)-x**4)+x**3)-x)+1))))] }
-
-
-
-def A147672():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x)+(2*x**2))-x**3-(6*x**4)))/((1+x)*(1-(2*x))*(1-x)**2))] }
-
-
-
-def A147675():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*(2+x))/((-1)+(2*x**2))))] }
-
-
-
-def A147677():
- x = SR.var('x')
- return { 'ogf': [((x*((7-(5*x))+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A147678():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)+1)*(((2*x**4)-(2*x**2))+1))/(((2*x**2)-1)*(x-1)**2*(1+x)**2)))] }
-
-
-
-def A147688():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+(28*x**2)))] }
-
-
-
-def A147689():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+(41*x**2)))] }
-
-
-
-def A147691():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2)*((1+(6*x)+(8*x**2)+(4*x**3))-x**4))/((1+x)**2*(1-x)**4))] }
-
-
-
-def A147704():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-(3*x))+x**3))] }
-
-
-
-def A147722():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(5*x))+(2*x**2)))] }
-
-
-
-def A147725():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+(3*x**2))/((1-(9*x))+(11*x**2)))] }
-
-
-
-def A147748():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+x**2)/((1-(5*x))+(5*x**2))),
-(1/(1-((2*x)/(1-(x/(1-(x/(1-x))))))))] }
-
-
-
-def A147757():
- x = SR.var('x')
- return { 'ogf': [((x+(11*x**2)+(101*x**3))-((91*x**4*((-11)+(10*x)))/(((10*x)-1)*(x-1))))] }
-
-
-
-def A147759():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(10*x))*(1+(10*x**2))))] }
-
-
-
-def A147816():
- x = SR.var('x')
- return { 'ogf': [(x/(((100*x)-1)*((1000*x)-1)))] }
-
-
-
-def A147818():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**2)+(4*x)+5))/((x-1)*(x**2+1))))] }
-
-
-
-def A147832():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+(6*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A147833():
- x = SR.var('x')
- return { 'ogf': [((((4*x**2)+x)-1)/(((12*x**3)+(4*x**2)+x)-1))] }
-
-
-
-def A147837():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(7*x))+(5*x**2)))] }
-
-
-
-def A147838():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(8*x))+(6*x**2)))] }
-
-
-
-def A147839():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(9*x))+(7*x**2)))] }
-
-
-
-def A147840():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(10*x))+(8*x**2)))] }
-
-
-
-def A147841():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(11*x))+(9*x**2)))] }
-
-
-
-def A147874():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+(7*x**2))/(1-x)**3)] }
-
-
-
-def A147875():
- x = SR.var('x')
- return { 'ogf': [((x*(x+4))/(1-x)**3)] }
-
-
-
-def A147957():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+(34*x**2)))] }
-
-
-
-def A147958():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+(47*x**2)))] }
-
-
-
-def A147959():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(62*x**2)))] }
-
-
-
-def A147960():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(79*x**2)))] }
-
-
-
-def A147961():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+(33*x**2)))] }
-
-
-
-def A147962():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+(46*x**2)))] }
-
-
-
-def A147974():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((18*x**3)-(23*x**2))+(16*x))-5))/(x-1)**4))] }
-
-
-
-def A147975():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((19*x**3)-(24*x**2))+(9*x))-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)))] }
-
-
-
-def A147976():
- x = SR.var('x')
- return { 'ogf': [((x*((((3-(40*x))+(185*x**2))-(350*x**3))+(226*x**4)))/((x-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*((5*x)-1)))] }
-
-
-
-def A147977():
- x = SR.var('x')
- return { 'ogf': [((x*((((((1524*x**5)-(2700*x**4))+(1755*x**3))-(530*x**2))+(75*x))-4))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)))] }
-
-
-
-def A147978():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((11628*x**6)-(22736*x**5))+(17059*x**4))-(6370*x**3))+(1260*x**2))-(126*x))+5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)))] }
-
-
-
-def A147979():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((((((49752*x**7)-(105056*x**6))+(87794*x**5))-(38129*x**4))+(9380*x**3))-(1316*x**2))+(98*x))-3))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)))] }
-
-
-
-def A147996():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((945936*x**8)-(2126232*x**7))+(1934792*x**6))-(942732*x**5))+(271467*x**4))-(47628*x**3))+(4998*x**2))-(288*x))+7))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)))] }
-
-
-
-def A151162():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1-(12*x**2)))+(6*x))-1)/(6*x*(1-(4*x))))] }
-
-
-
-def A151254():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1-(16*x**2)))+(8*x))-1)/(8*x*(1-(5*x))))] }
-
-
-
-def A151374():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(8*x))))/(4*x))] }
-
-
-
-def A151403():
- x = SR.var('x')
- return { 'ogf': [(2/(1+sqrt((1-(16*x)))))] }
-
-
-
-def A151483():
- x = SR.var('x')
- return { 'ogf': [((((((1-(6*x))*(1-(4*x)-(12*x**2))**(1/2))-(4*x**2))+(8*x))-1)/(32*x**3))] }
-
-
-
-def A151542():
- x = SR.var('x')
- return { 'ogf': [((3*x*(4-(3*x)))/(1-x)**3)] }
-
-
-
-def A151575():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1+x)-(2*x**2)))] }
-
-
-
-def A151675():
- x = SR.var('x')
- return { 'ogf': [((x*((8-(5*x))+(3*x**2)))/(x-1)**4)] }
-
-
-
-def A151746():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-(5*x**2))+(4*x**3))/((1-(4*x))*(1-x)**2))] }
-
-
-
-def A151754():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)-x**3)/((x-1)*((2*x)-1)*(x**2+1)))] }
-
-
-
-def A151758():
- x = SR.var('x')
- return { 'ogf': [(x**2-x)] }
-
-
-
-def A151759():
- x = SR.var('x')
- return { 'ogf': [x**3] }
-
-
-
-def A151760():
- x = SR.var('x')
- return { 'ogf': [x**4] }
-
-
-
-def A151761():
- x = SR.var('x')
- return { 'ogf': [x**5] }
-
-
-
-def A151762():
- x = SR.var('x')
- return { 'ogf': [x**6] }
-
-
-
-def A151794():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((-x)+x**2)-1))/((1+x)*((2*x)-1)))] }
-
-
-
-def A151798():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2))/(1-x))] }
-
-
-
-def A151821():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-(2*x)))] }
-
-
-
-def A151842():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x**2))/((x-1)**2*(1+x+x**2)**2))] }
-
-
-
-def A151889():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+(3*x)+2)*x)/((x**4+(4*x**2))-1)))] }
-
-
-
-def A151898():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**11)-(9*x**5)-x**4-x**3-x**2-x-1))/((x-1)**2*(x+1)**2*((x**2-x)+1)**2*(x**2+x+1)**2)))] }
-
-
-
-def A151961():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1-(2*x)))/((1-(4*x))+x**2))] }
-
-
-
-def A151971():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(6*x)+(8*x**2)+(6*x**3)))/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A151972():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(5*x)+(4*x**2)+(5*x**3)))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A151973():
- x = SR.var('x')
- return { 'ogf': [((x**2*((8*x**3)+(7*x**2)+(8*x)+1))/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A151974():
- x = SR.var('x')
- return { 'ogf': [((15*x**2)/(1-x)**6)] }
-
-
-
-def A151977():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(15*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A151978():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(16*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A151979():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(18*x)))/((1-x)**2*(1+x)))] }
-
-
-
-def A151980():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)+(11*x**2)+(4*x**3)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A151981():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(15*x)+(17*x**2)+(15*x**3)))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A151983():
- x = SR.var('x')
- return { 'ogf': [(((1+(31*x))*x**2)/((1+x)*(1-x)**2))] }
-
-
-
-def A151984():
- x = SR.var('x')
- return { 'ogf': [((x**2*((63*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A151988():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+1)*((x**2-x)+1)*(x**2+x+1))/((x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A151989():
- x = SR.var('x')
- return { 'ogf': [((1+(121*x)+(381*x**2)+(121*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A151997():
- x = SR.var('x')
- return { 'ogf': [(((9-(830*x))+(4000*x**2))/((1-x)*((100*x)-1)*((10*x)-1)))] }
-
-
-
-def A152015():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1-(6*x)-x**2))/(1-x)**4))] }
-
-
-
-def A152017():
- x = SR.var('x')
- return { 'ogf': [((x*((-3)+(20*x)+(66*x**2)+(36*x**3)+x**4))/(x-1)**6)] }
-
-
-
-def A152030():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((x**5+(36*x**4)+(176*x**3)+(134*x**2)+(15*x))-2))/(x-1)**7))] }
-
-
-
-def A152035():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A152041():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**2)+(13*x)+4))/(x-1)**5))] }
-
-
-
-def A152055():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(61*x**2)))] }
-
-
-
-def A152056():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(78*x**2)))] }
-
-
-
-def A152064():
- x = SR.var('x')
- return { 'ogf': [(((5-(16*x))+(23*x**2))/(x-1)**4)] }
-
-
-
-def A152090():
- x = SR.var('x')
- return { 'ogf': [(((x**4-(2*x**3)-(3*x**2))+1)/((x**4-x**3-(3*x**2)-x)+1))] }
-
-
-
-def A152094():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(1-(8*x**2)))/((1-x-(18*x**2)-(8*x**3))+(64*x**4))))] }
-
-
-
-def A152096():
- x = SR.var('x')
- return { 'ogf': [(1+((x*(1-(12*x**2)))/((1-x-(27*x**2)-(12*x**3))+(144*x**4))))] }
-
-
-
-def A152098():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(((16*x**3)+(8*x**2))-x-1))/(((16*x**4)-(4*x**3)-(9*x**2)-x)+1))] }
-
-
-
-def A152100():
- x = SR.var('x')
- return { 'ogf': [(1-((2*x*(((-7)-(10*x))+x**2))/(x-1)**4))] }
-
-
-
-def A152103():
- x = SR.var('x')
- return { 'ogf': [(((x**4-(4*x**3)-(4*x**2))+1)/((x**4-(2*x**3)-(4*x**2)-(2*x))+1))] }
-
-
-
-def A152104():
- x = SR.var('x')
- return { 'ogf': [(1+((2*(1-x)*x*(1+x))/((1-(2*x)-(8*x**2)-(2*x**3))+x**4)))] }
-
-
-
-def A152105():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(60*x**2)))] }
-
-
-
-def A152106():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(77*x**2)))] }
-
-
-
-def A152107():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+(31*x**2)))] }
-
-
-
-def A152108():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+(44*x**2)))] }
-
-
-
-def A152109():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(59*x**2)))] }
-
-
-
-def A152110():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((-2)-(11*x)-(4*x**2))+x**3))/(x-1)**4))] }
-
-
-
-def A152113():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**2+1))/((x**4+(2*x**2))-1)))] }
-
-
-
-def A152116():
- x = SR.var('x')
- return { 'ogf': [((((x**4-(2*x**3))+x**2+(2*x)+1)*(((x**4+(2*x**3))-(4*x**2)-(2*x))+1))/(((((x**8+x**7)-(7*x**6))+(6*x**5)+(8*x**4))-(6*x**3)-(7*x**2)-x)+1))] }
-
-
-
-def A152118():
- x = SR.var('x')
- return { 'ogf': [(((x**4-x**3-(5*x**2))+x+1)/((x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A152119():
- x = SR.var('x')
- return { 'ogf': [(((x**4-x**3-(6*x**2))+x+1)/(((x**2-(3*x))+1)*(x**2+(3*x)+1)))] }
-
-
-
-def A152120():
- x = SR.var('x')
- return { 'ogf': [((((9*x**4)-(6*x**3)-(10*x**2))+(2*x)+1)/(((9*x**4)-(14*x**2))+1))] }
-
-
-
-def A152132():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((-1)-x-(2*x**3)-(2*x**4)-(3*x**2))+x**5))/(1+x)/(x**2+1)/(x-1)**4))] }
-
-
-
-def A152133():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((-2)-(2*x))+x**2)-(2*x**3))+x**4))/(1+x)/(x-1)**4))] }
-
-
-
-def A152134():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((-4)-(3*x**2)-(2*x**3))+x**4))/(1+x)/(x**2+1)/(x-1)**4))] }
-
-
-
-def A152135():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((-6)+(5*x**2))-(4*x**3))+x**4))/(1+x)/(x-1)**4))] }
-
-
-
-def A152142():
- x = SR.var('x')
- return { 'ogf': [(((((x**8-x**7-(8*x**6)-(6*x**5))+(9*x**4)+(6*x**3))-(6*x**2))+x+1)/(((x**4-x**3-(3*x**2)-x)+1)*(((x**4+x**3)-(3*x**2))+x+1)))] }
-
-
-
-def A152152():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((x**6-(2*x**5))+(10*x**4))-(14*x**3))+(10*x**2))-(2*x))+1))/((x-1)*(x+1)*((x**2-(3*x))+1)*(x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A152163():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-x-x**2))] }
-
-
-
-def A152166():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(2*x**2)))] }
-
-
-
-def A152167():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1+x)-(3*x**2)))] }
-
-
-
-def A152174():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1+(2*x))-(4*x**2)))] }
-
-
-
-def A152185():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1+(3*x))-(5*x**2)))] }
-
-
-
-def A152187():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(3*x)-(5*x**2)))] }
-
-
-
-def A152189():
- x = SR.var('x')
- return { 'ogf': [(((((x**6+x**5)-(9*x**4))+(7*x**2))-x-1)/((x-1)*(x+1)*((x**2-(3*x))+1)*(x**2+(3*x)+1)))] }
-
-
-
-def A152191():
- x = SR.var('x')
- return { 'ogf': [(1-((x*(x-1)*((x**2-x)+1)*(1+x)**3)/(((x**4-x**3)+(2*x**2)+x+1)*(((x**4+x**3+(2*x**2))-x)+1))))] }
-
-
-
-def A152192():
- x = SR.var('x')
- return { 'ogf': [((((1+x**6)-x**5-(3*x**4)-x**2)+x)/((x**2+1)*((x**2+x)-1)*(x**2-x-1)))] }
-
-
-
-def A152223():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1+(4*x))-(6*x**2)))] }
-
-
-
-def A152224():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(4*x)-(6*x**2)))] }
-
-
-
-def A152239():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1+(5*x))-(7*x**2)))] }
-
-
-
-def A152240():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(5*x)-(7*x**2)))] }
-
-
-
-def A152261():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(76*x**2)))] }
-
-
-
-def A152262():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+(43*x**2)))] }
-
-
-
-def A152263():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(58*x**2)))] }
-
-
-
-def A152264():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(75*x**2)))] }
-
-
-
-def A152265():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(57*x**2)))] }
-
-
-
-def A152266():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(74*x**2)))] }
-
-
-
-def A152267():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(73*x**2)))] }
-
-
-
-def A152268():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(7*x))+(8*x**2)))] }
-
-
-
-def A152271():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(2*x**2))+x**4))] }
-
-
-
-def A152299():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(9*x**2))/((1-x)*(1-(9*x))*(1+x)*(1+(9*x))))] }
-
-
-
-def A152390():
- x = SR.var('x')
- return { 'ogf': [((2*(((3+(19*x))-(14*x**2))+(4*x**3)))/(1-x)**5)] }
-
-
-
-def A152418():
- x = SR.var('x')
- return { 'ogf': [((3*x*((7*x**2)+x+1))/((x-1)*(x+1)*((7*x)-1)*((7*x)+1)))] }
-
-
-
-def A152429():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(55*x**2)))] }
-
-
-
-def A152437():
- x = SR.var('x')
- return { 'ogf': [((x*((17*x**2)+(9*x)+1))/((x-1)*(x+1)*((17*x)-1)*((17*x)+1)))] }
-
-
-
-def A152448():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(4*x**2))+x**3)/((1-(10*x**2))+x**4))] }
-
-
-
-def A152450():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(6*x**2)-(3*x**3))/((1-(10*x**2))+x**4))] }
-
-
-
-def A152467():
- x = SR.var('x')
- return { 'ogf': [(x**6/((1-x)**2*(1+x)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A152524():
- x = SR.var('x')
- return { 'ogf': [(-((4*((-127)+(128*x**2)))/((x+1)*(x-1)**2)))] }
-
-
-
-def A152577():
- x = SR.var('x')
- return { 'ogf': [(-((11*x*((-1)+(10*x)))/(((100*x)-1)*(x-1))))] }
-
-
-
-def A152579():
- x = SR.var('x')
- return { 'ogf': [((((-51)-(198*x))+(49*x**2))/(x-1)**3)] }
-
-
-
-def A152594():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1+(5*x)+(2*x**2)))] }
-
-
-
-def A152596():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(7*x))+(6*x**2)))] }
-
-
-
-def A152599():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(10*x))+(12*x**2)))] }
-
-
-
-def A152618():
- x = SR.var('x')
- return { 'ogf': [((((9*x**2)-(4*x))+1)/(1-x)**4)] }
-
-
-
-def A152619():
- x = SR.var('x')
- return { 'ogf': [((x*((9-(4*x))+x**2))/(1-x)**4)] }
-
-
-
-def A152620():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1+(8*x)+(6*x**2)))] }
-
-
-
-def A152621():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(8*x))+(6*x**2)))] }
-
-
-
-def A152681():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-sqrt((1+(2*x)+(9*x**2))))/(2*x))] }
-
-
-
-def A152691():
- x = SR.var('x')
- return { 'ogf': [((64*x)/(1-x)**2)] }
-
-
-
-def A152725():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(56*x)+(246*x**2)+(56*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A152726():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(120*x)+(1191*x**2)+(2416*x**3)+(1191*x**4)+(120*x**5)+x**6))/((1+x)*(x-1)**8))] }
-
-
-
-def A152728():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(4*x)+x**2))/((1+x+x**2)*(x-1)**4))] }
-
-
-
-def A152729():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x+1)*(x**2+(10*x)+1))/((x-1)**5*(x**2+x+1))))] }
-
-
-
-def A152730():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**4+(26*x**3)+(66*x**2)+(26*x)+1))/((x-1)**6*(x**2+x+1)))] }
-
-
-
-def A152731():
- x = SR.var('x')
- return { 'ogf': [(((x**3*(1+x))*(x**4+(56*x**3)+(246*x**2)+(56*x)+1))/((1-x)**7*(1+x+x**2)))] }
-
-
-
-def A152732():
- x = SR.var('x')
- return { 'ogf': [((2*x**3)/((1-(2*x))*(1+x+x**2)))] }
-
-
-
-def A152734():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A152740():
- x = SR.var('x')
- return { 'ogf': [((11*x)/(1-x)**3)] }
-
-
-
-def A152743():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((2*x)+1))/(x-1)**3))] }
-
-
-
-def A152744():
- x = SR.var('x')
- return { 'ogf': [((7*x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A152749():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x+x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A152751():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(5*x)))/(1-x)**3)] }
-
-
-
-def A152759():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(6*x)))/(1-x)**3)] }
-
-
-
-def A152760():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(6*x)))/(1-x)**3)] }
-
-
-
-def A152764():
- x = SR.var('x')
- return { 'ogf': [(-((x*((10*x)-1)*((10*x)+1)**2)/((x-1)*((100*x)-1))))] }
-
-
-
-def A152767():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(1+(7*x)))/(x-1)**3))] }
-
-
-
-def A152773():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(4*x)))/(1-x)**3)] }
-
-
-
-def A152775():
- x = SR.var('x')
- return { 'ogf': [((111*x)/((x-1)*(x+1)*((1000*x)-1)))] }
-
-
-
-def A152776():
- x = SR.var('x')
- return { 'ogf': [((7*x)/((1-x)*(1-(8*x))*(1+x)))] }
-
-
-
-def A152813():
- x = SR.var('x')
- return { 'ogf': [(((3+(6*x))-(5*x**2))/(1-x)**3)] }
-
-
-
-def A152832():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(x-2))/((1+x)*(x-1)**2)))] }
-
-
-
-def A152833():
- x = SR.var('x')
- return { 'ogf': [(-(((3-(7*x))+(3*x**2))/((1+x)*(1-x)**2)))] }
-
-
-
-def A152835():
- x = SR.var('x')
- return { 'ogf': [(-((((22*x**2)-(45*x))+22)/((x-1)**2*(x+1))))] }
-
-
-
-def A152881():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)))/(1-x-x**2)**3)] }
-
-
-
-def A152891():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x))/(((1-(3*x))+x**2)*(1-x)**2))] }
-
-
-
-def A152895():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x))/(((1-(3*x))+x**2)*(1-x)**3))] }
-
-
-
-def A152896():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3-(3*x))+x**2))/((1-x)**2*(((1-(4*x))+(3*x**2))-x**3)))] }
-
-
-
-def A152897():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3-(3*x))+x**2))/((1-x)**3*(((1-(4*x))+(3*x**2))-x**3)))] }
-
-
-
-def A152928():
- x = SR.var('x')
- return { 'ogf': [((x**2*((113-(139*x))+(18*x**2)))/(((1-(8*x))+(8*x**2))-x**3))] }
-
-
-
-def A152929():
- x = SR.var('x')
- return { 'ogf': [((x*(113+(63*x)))/(1-x-x**2))] }
-
-
-
-def A152947():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(2*x))+(2*x**2)))/(x-1)**3))] }
-
-
-
-def A152948():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2-(4*x))+(3*x**2)))/(x-1)**3))] }
-
-
-
-def A152965():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(9*x)))/(1-x)**3)] }
-
-
-
-def A152966():
- x = SR.var('x')
- return { 'ogf': [((2*x*((9*x**8)+(8*x**7)+(7*x**6)+(6*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)*(x**2+x+1)*(x**6+x**3+1)*((10*x**9)-1)))] }
-
-
-
-def A152996():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A153026():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((8-(5*x))+(4*x**2))-x**3))/((1+x)*(1-x)**4))] }
-
-
-
-def A153037():
- x = SR.var('x')
- return { 'ogf': [(((23-(28*x))+(9*x**2))/(1-x)**3)] }
-
-
-
-def A153056():
- x = SR.var('x')
- return { 'ogf': [((((2-(5*x))+(7*x**2))-(2*x**3))/(1-x)**4)] }
-
-
-
-def A153057():
- x = SR.var('x')
- return { 'ogf': [((((3-(8*x))+(10*x**2))-(3*x**3))/(1-x)**4)] }
-
-
-
-def A153058():
- x = SR.var('x')
- return { 'ogf': [((((4-(11*x))+(13*x**2))-(4*x**3))/(1-x)**4)] }
-
-
-
-def A153079():
- x = SR.var('x')
- return { 'ogf': [((3-(27*x))/(((13*x)-1)*(x-1)))] }
-
-
-
-def A153080():
- x = SR.var('x')
- return { 'ogf': [((2+(11*x))/(x-1)**2)] }
-
-
-
-def A153110():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x)+1)**3/((x-1)*(1+x)*(1+x+x**2))))] }
-
-
-
-def A153111():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1))/((x**2-(26*x))+1)))] }
-
-
-
-def A153126():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x)+(6*x**2))-x**3)/((1-x)**3*(1+x)))] }
-
-
-
-def A153130():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+(5*x**3))/((1-x)*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A153169():
- x = SR.var('x')
- return { 'ogf': [((x*((19-(14*x))+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A153171():
- x = SR.var('x')
- return { 'ogf': [((6*(x**4+(2*x**3)+x**2+(2*x)+1))/((x-1)**2*(x**2+x+1)**3))] }
-
-
-
-def A153173():
- x = SR.var('x')
- return { 'ogf': [(-((x*((11-(14*x)-(29*x**2))+(6*x**3)+x**4))/((x-1)*((x**2-(7*x))+1)*(x**2+(3*x)+1))))] }
-
-
-
-def A153175():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-29)+(96*x)+(550*x**2))-(290*x**3)-(200*x**4))+(16*x**5)+x**6))/((1+x)*((x**2-(3*x))+1)*((x**2-(18*x))+1)*(x**2+(7*x)+1))))] }
-
-
-
-def A153177():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((76-(658*x)-(9947*x**2))+(13644*x**3)+(26020*x**4))-(5306*x**5)-(1372*x**6))+(42*x**7)+x**8))/((x-1)*(x**2+(18*x)+1)*((x**2-(47*x))+1)*(x**2+(3*x)+1)*((x**2-(7*x))+1))))] }
-
-
-
-def A153179():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(1/(1+x)))+(((-2)-(47*x))/(x**2+(47*x)+1))+((2-(3*x))/((x**2-(3*x))+1))+(((-2)-(7*x))/(x**2+(7*x)+1))+((2-(123*x))/((x**2-(123*x))+1))+((2-(18*x))/((x**2-(18*x))+1)))] }
-
-
-
-def A153180():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(((-2)-(123*x))/(x**2+(123*x)+1))+((2-(322*x))/((x**2-(322*x))+1))+(((-2)-(3*x))/(x**2+(3*x)+1))+((2-(7*x))/((x**2-(7*x))+1))+((2-(47*x))/((x**2-(47*x))+1)))-(1/(x-1)))+(((-2)-(18*x))/(x**2+(18*x)+1)))] }
-
-
-
-def A153191():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(9*x)-(6*x**2)))] }
-
-
-
-def A153192():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(2*x)+5))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A153194():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**4)+x**3+(2*x**2)+x+10))/((x-1)**3*(x+1)**2*(x**2+1)**2))),
-((x*(10+x+(2*x**2)+x**3+(4*x**4)))/((1-x)*(1-x**4)**2))] }
-
-
-
-def A153234():
- x = SR.var('x')
- return { 'ogf': [(x**4/((x-1)*((2*x)-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A153237():
- x = SR.var('x')
- return { 'ogf': [((9*x**4)/((x-1)*((2*x)-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A153258():
- x = SR.var('x')
- return { 'ogf': [((2*x*((x**3+(4*x))-2))/(x-1)**4)] }
-
-
-
-def A153260():
- x = SR.var('x')
- return { 'ogf': [(((x*((x*((13*x)-41))+61))-27)/(x-1)**4)] }
-
-
-
-def A153263():
- x = SR.var('x')
- return { 'ogf': [((3+(5*x)+(3*x**2))/((1+x)*(1-x-x**2)))] }
-
-
-
-def A153265():
- x = SR.var('x')
- return { 'ogf': [(4+((x*(((1-(10*x))+(12*x**2))-(16*x**3)))/(((x**2-x)+1)*((4*x**2)+1))))] }
-
-
-
-def A153266():
- x = SR.var('x')
- return { 'ogf': [((13-(6*x))/((1+(4*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A153267():
- x = SR.var('x')
- return { 'ogf': [(-((((16*x**2)-(34*x))+5)/(((4*x)+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A153284():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((1+x)*(1-x)))] }
-
-
-
-def A153285():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(9*x**2)+x**3+(2*x**4)))/((1+x)**2*(1-x)**2))] }
-
-
-
-def A153286():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(30*x**2)+(16*x**3)+(39*x**4)+x**5+(2*x**6)))/((1+x)**3*(1-x)**3))] }
-
-
-
-def A153315():
- x = SR.var('x')
- return { 'ogf': [(((1+(8*x))-x**2)/((1-(18*x**2))+x**4))] }
-
-
-
-def A153316():
- x = SR.var('x')
- return { 'ogf': [(((1+(9*x)+x**2)-x**3)/((1-(18*x**2))+x**4))] }
-
-
-
-def A153317():
- x = SR.var('x')
- return { 'ogf': [(((1+(10*x))-x**2)/((1-(22*x**2))+x**4))] }
-
-
-
-def A153318():
- x = SR.var('x')
- return { 'ogf': [(((1+(11*x)+x**2)-x**3)/((1-(22*x**2))+x**4))] }
-
-
-
-def A153339():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(4*x))-x**2))/(1-(3*x**2)))] }
-
-
-
-def A153340():
- x = SR.var('x')
- return { 'ogf': [((2*x*((4+(3*x))-(6*x**2)-(2*x**3)))/((1-x)*(1-(3*x**2)-x**3)))] }
-
-
-
-def A153349():
- x = SR.var('x')
- return { 'ogf': [((((x**4+(6*x**3))-(2*x**2))+(6*x)+1)/((1-x)*((x**2-x)+1)*(1+x+x**2)))] }
-
-
-
-def A153360():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((5+(4*x))-(12*x**2)-(6*x**3))+(3*x**4)))/(((1-x-(4*x**2))+(3*x**3)+(3*x**4))-x**5))] }
-
-
-
-def A153361():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((3*x**5)+(12*x**4))-(12*x**3)-(20*x**2))+(5*x)+6))/((((x**6+(3*x**5))-(6*x**4)-(4*x**3))+(5*x**2)+x)-1)))] }
-
-
-
-def A153362():
- x = SR.var('x')
- return { 'ogf': [((x*(((9+(16*x))-(15*x**2)-(24*x**3))+x**4))/((1-(5*x**2))+(5*x**4)))] }
-
-
-
-def A153363():
- x = SR.var('x')
- return { 'ogf': [((x*(((5+(8*x))-(9*x**2)-(12*x**3))+x**4))/((1-(5*x**2))+(5*x**4)))] }
-
-
-
-def A153364():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(8*x))-(6*x**2)-(12*x**3)))/((1-(5*x**2))+(5*x**4)))] }
-
-
-
-def A153365():
- x = SR.var('x')
- return { 'ogf': [((x*(8-(12*x)))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A153366():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(9*x))+x**2))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A153367():
- x = SR.var('x')
- return { 'ogf': [((x*(4-(6*x)))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A153368():
- x = SR.var('x')
- return { 'ogf': [((x*(((11+(20*x))-(28*x**2)-(48*x**3))+(9*x**4)+(12*x**5)))/((1-(2*x**2))*((1-(4*x**2))+x**4)))] }
-
-
-
-def A153369():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((3+(5*x))-(8*x**2)-(12*x**3))+(3*x**4)+(3*x**5)))/(((2*x**2)-1)*((x**4-(4*x**2))+1))))] }
-
-
-
-def A153370():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)+1)*(((3*x**4)-(12*x**2))+5))/(((2*x**2)-1)*((x**4-(4*x**2))+1))))] }
-
-
-
-def A153371():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((5-(12*x))+(3*x**2)))/(((2*x)-1)*((x**2-(4*x))+1))))] }
-
-
-
-def A153372():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((3-(8*x))+(3*x**2)))/(((2*x)-1)*((x**2-(4*x))+1))))] }
-
-
-
-def A153373():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(12*x))+(3*x**2)))/(((1-(6*x))+(9*x**2))-(2*x**3)))] }
-
-
-
-def A153382():
- x = SR.var('x')
- return { 'ogf': [((2*x*((4+x)-(4*x**2)))/((1-x)*(1+x)*(1-x-x**2)))] }
-
-
-
-def A153388():
- x = SR.var('x')
- return { 'ogf': [((2*((4-(7*x))+(4*x**2)))/((1-x)*((1-(3*x))+x**2)))] }
-
-
-
-def A153435():
- x = SR.var('x')
- return { 'ogf': [((11*x)/((x-1)*(x+1)*((100*x)-1)))] }
-
-
-
-def A153448():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(9*x)))/(1-x)**3)] }
-
-
-
-def A153449():
- x = SR.var('x')
- return { 'ogf': [((11*x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A153465():
- x = SR.var('x')
- return { 'ogf': [((x*(34-(28*x)))/((1-x)*(1-(4*x))))] }
-
-
-
-def A153466():
- x = SR.var('x')
- return { 'ogf': [((2*((116-(159*x))+(44*x**2)))/((1-x)*((x**2-(3*x))+1)))] }
-
-
-
-def A153497():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x)+(16*x**3))-(24*x**4))+(32*x**5)))/((1-x)*(1-(4*x))*(1+(2*x**2))*(1+(8*x**2))))] }
-
-
-
-def A153498():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(10*x)+(2000*x**3))-(91000*x**4))+(100000*x**5)))/((1-(100*x))*(1-x)*(1+(10*x**2))*(1+(1000*x**2))))] }
-
-
-
-def A153499():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((64*x**6)-(80*x**5))+(16*x**4))-(20*x**3)-(6*x**2)-1))/((x-1)*((4*x)-1)*((2*x**2)+1)*((8*x**2)+1))))] }
-
-
-
-def A153500():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((1000000*x**6)-(1010000*x**5))+(10000*x**4))-(10100*x**3)-(910*x**2)-1))/((x-1)*((100*x)-1)*((10*x**2)+1)*((1000*x**2)+1))))] }
-
-
-
-def A153509():
- x = SR.var('x')
- return { 'ogf': [((3*(2+x**3))/((1-x)*(1+x**3+x**6)))] }
-
-
-
-def A153593():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(18*x))+(79*x**2)))] }
-
-
-
-def A153594():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(13*x**2)))] }
-
-
-
-def A153596():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(22*x**2)))] }
-
-
-
-def A153597():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(12*x))+(33*x**2)))] }
-
-
-
-def A153598():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(14*x))+(46*x**2)))] }
-
-
-
-def A153599():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(16*x))+(61*x**2)))] }
-
-
-
-def A153600():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(18*x))+(78*x**2)))] }
-
-
-
-def A153642():
- x = SR.var('x')
- return { 'ogf': [((4*(3-x)*(3-(2*x)))/(1-x)**3)] }
-
-
-
-def A153643():
- x = SR.var('x')
- return { 'ogf': [((2-x-(5*x**2))/((1+x)*(1-x)*(1-(2*x))))] }
-
-
-
-def A153644():
- x = SR.var('x')
- return { 'ogf': [((2*x*((3-x)*(7-(5*x))))/(1-x)**3)] }
-
-
-
-def A153703():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1-x)*(1-(3*x))**3))] }
-
-
-
-def A153709():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-(11*x)-(26*x**2)))] }
-
-
-
-def A153727():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(2*x**2))/(1-x**3))] }
-
-
-
-def A153772():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(5*x**2))/((x-1)*((2*x)-1)*(1+x)))] }
-
-
-
-def A153773():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+x+x**2))/((1-x)*((3*x)-1)*(1+x)))] }
-
-
-
-def A153774():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(2*x**2)))/((1-x)*((3*x)-1)*(1+x)))] }
-
-
-
-def A153780():
- x = SR.var('x')
- return { 'ogf': [((10*x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A153783():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(8*x)))/(1-x)**3)] }
-
-
-
-def A153792():
- x = SR.var('x')
- return { 'ogf': [((12*x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A153793():
- x = SR.var('x')
- return { 'ogf': [((13*x*(1+(2*x)))/(1-x)**3)] }
-
-
-
-def A153794():
- x = SR.var('x')
- return { 'ogf': [(-((4*(x+(5*x**2)))/(x-1)**3))] }
-
-
-
-def A153819():
- x = SR.var('x')
- return { 'ogf': [((2*((8-(15*x))+(8*x**2)))/((1-x)*((1-(3*x))+x**2)))] }
-
-
-
-def A153873():
- x = SR.var('x')
- return { 'ogf': [(((8-(15*x))+(8*x**2))/((1-x)*((1-(3*x))+x**2)))] }
-
-
-
-def A153875():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(10*x)))/(1-x)**3)] }
-
-
-
-def A153881():
- x = SR.var('x')
- return { 'ogf': [(x/(1+(x/(1-(2*x)))))] }
-
-
-
-def A153882():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(12*x))+(31*x**2)))] }
-
-
-
-def A153884():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(14*x))+(44*x**2)))] }
-
-
-
-def A153885():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(16*x))+(59*x**2)))] }
-
-
-
-def A153886():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(18*x))+(76*x**2)))] }
-
-
-
-def A153893():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-x)*(1-(2*x))))] }
-
-
-
-def A153894():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A153972():
- x = SR.var('x')
- return { 'ogf': [((7-(13*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A153978():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((2*x)+1))/(x-1)**5))] }
-
-
-
-def A154021():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1-(16*x))+x**2))] }
-
-
-
-def A154022():
- x = SR.var('x')
- return { 'ogf': [((5*x**2)/((1-(25*x))+x**2))] }
-
-
-
-def A154023():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(36*x))+x**2))] }
-
-
-
-def A154024():
- x = SR.var('x')
- return { 'ogf': [((7*x**2)/((1-(49*x))+x**2))] }
-
-
-
-def A154025():
- x = SR.var('x')
- return { 'ogf': [((8*x**2)/((1-(64*x))+x**2))] }
-
-
-
-def A154026():
- x = SR.var('x')
- return { 'ogf': [((9*x)/((x**2-(81*x))+1))] }
-
-
-
-def A154027():
- x = SR.var('x')
- return { 'ogf': [((10*x)/((x**2-(100*x))+1))] }
-
-
-
-def A154105():
- x = SR.var('x')
- return { 'ogf': [((7+(16*x)+x**2)/(1-x)**3)] }
-
-
-
-def A154106():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(11+x))/(1-x)**3)] }
-
-
-
-def A154127():
- x = SR.var('x')
- return { 'ogf': [((1+x+(3*x**2)+(4*x**3))/((1-x)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A154138():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(2*x)-(3*x**2))+(2*x**3)+(2*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154139():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-6)-(3*x))+(6*x**2)+x**3))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154140():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(2*x)-(3*x**2))+(2*x**3)+(3*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154141():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(6*x)-(3*x**2))+(6*x**3)+(2*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154142():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-10)-(3*x))+(10*x**2)+x**3))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154143():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)-(2*x)-(3*x**2))+(2*x**3)+(4*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154144():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(6*x)-(3*x**2))+(6*x**3)+(3*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154145():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(3*x)-(2*x**2)-(5*x**3)-(3*x**4))+(5*x**5)+(2*x**6)+(3*x**7)+(2*x**8)))/((x-1)*((x**4+(2*x**2))-1)*(x**4-(2*x**2)-1)))] }
-
-
-
-def A154147():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)-(6*x)-(3*x**2))+(6*x**3)+(4*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154148():
- x = SR.var('x')
- return { 'ogf': [((x*(((-5)-(2*x)-(3*x**2))+(2*x**3)+(6*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154149():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(10*x)-(3*x**2))+(10*x**3)+(3*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154150():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(14*x)-(3*x**2))+(14*x**3)+(2*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154151():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-18)-(3*x))+(18*x**2)+x**3))/((x-1)*((x**2+(2*x))-1)*(x**2-(2*x)-1)))] }
-
-
-
-def A154152():
- x = SR.var('x')
- return { 'ogf': [((x*(((-4)-(6*x)-(3*x**2))+(6*x**3)+(5*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154153():
- x = SR.var('x')
- return { 'ogf': [((x*(((-6)-(2*x)-(3*x**2))+(2*x**3)+(7*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154154():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)-(10*x)-(3*x**2))+(10*x**3)+(4*x**4)))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A154222():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-(2*x**3))+(5*x**2))-(4*x))+1)/((x-1)**2*((2*x)-1)**2))] }
-
-
-
-def A154235():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(10*x**2)))] }
-
-
-
-def A154236():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(19*x**2)))] }
-
-
-
-def A154237():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(12*x))+(30*x**2)))] }
-
-
-
-def A154239():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(14*x))+(43*x**2)))] }
-
-
-
-def A154240():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(16*x))+(58*x**2)))] }
-
-
-
-def A154241():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(18*x))+(75*x**2)))] }
-
-
-
-def A154244():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(6*x))+(2*x**2)))] }
-
-
-
-def A154245():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(9*x**2)))] }
-
-
-
-def A154246():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(18*x**2)))] }
-
-
-
-def A154247():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(12*x))+(29*x**2)))] }
-
-
-
-def A154248():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(14*x))+(42*x**2)))] }
-
-
-
-def A154249():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(16*x))+(57*x**2)))] }
-
-
-
-def A154250():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(18*x))+(74*x**2)))] }
-
-
-
-def A154254():
- x = SR.var('x')
- return { 'ogf': [(-(((2-(3*x))+(19*x**2))/(x-1)**3))] }
-
-
-
-def A154260():
- x = SR.var('x')
- return { 'ogf': [((x**2*(7+(2*x)+(7*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A154262():
- x = SR.var('x')
- return { 'ogf': [(((3-(7*x))+(22*x**2))/(1-x)**3)] }
-
-
-
-def A154266():
- x = SR.var('x')
- return { 'ogf': [((3*(4+(5*x)))/(x-1)**2)] }
-
-
-
-def A154267():
- x = SR.var('x')
- return { 'ogf': [((3*(5+(4*x)))/(x-1)**2)] }
-
-
-
-def A154272():
- x = SR.var('x')
- return { 'ogf': [(x+x**3)] }
-
-
-
-def A154277():
- x = SR.var('x')
- return { 'ogf': [((((-17)+(25*x))-(170*x**2))/(x-1)**3)] }
-
-
-
-def A154293():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)+x**2)*(1-x**2)*(1-x**6))/((1-x)**2*(1-x**3)*(1-x**4)**2))] }
-
-
-
-def A154295():
- x = SR.var('x')
- return { 'ogf': [((((-26)+(61*x))-(197*x**2))/(x-1)**3)] }
-
-
-
-def A154322():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(7*x**2))-(4*x**3))+x**4)/(1-x)**6)] }
-
-
-
-def A154323():
- x = SR.var('x')
- return { 'ogf': [(((((1-(3*x))+(10*x**2))-(3*x**3))+x**4)/(1-x)**5)] }
-
-
-
-def A154324():
- x = SR.var('x')
- return { 'ogf': [(((((1-(2*x)-x**2)+(5*x**3))-x**4-(2*x**5))+x**6)/((1-x)*(1-x**2))**3)] }
-
-
-
-def A154327():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+(2*x**3)+x**4)/((1-x**2)*(1-x-x**2)))] }
-
-
-
-def A154340():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A154346():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(12*x))+(28*x**2)))] }
-
-
-
-def A154347():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(14*x))+(41*x**2)))] }
-
-
-
-def A154348():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(16*x))+(56*x**2)))] }
-
-
-
-def A154350():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(18*x))+(73*x**2)))] }
-
-
-
-def A154355():
- x = SR.var('x')
- return { 'ogf': [(-(((13-(37*x))+(74*x**2))/(x-1)**3))] }
-
-
-
-def A154357():
- x = SR.var('x')
- return { 'ogf': [(-((2+(7*x)+(41*x**2))/(x-1)**3))] }
-
-
-
-def A154358():
- x = SR.var('x')
- return { 'ogf': [(-(((649-(1848*x))+(3699*x**2))/(x-1)**3))] }
-
-
-
-def A154359():
- x = SR.var('x')
- return { 'ogf': [((99+(352*x)+(2049*x**2))/(1-x)**3)] }
-
-
-
-def A154360():
- x = SR.var('x')
- return { 'ogf': [(-((10*(18-(43*x)))/(1-x)**2))] }
-
-
-
-def A154361():
- x = SR.var('x')
- return { 'ogf': [(-((10*(7-(32*x)))/(1-x)**2))] }
-
-
-
-def A154374():
- x = SR.var('x')
- return { 'ogf': [((x*((-1151)-(1348*x)-x**2))/(x-1)**3)] }
-
-
-
-def A154375():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**2)-(1148*x)-1351))/(x-1)**3)] }
-
-
-
-def A154376():
- x = SR.var('x')
- return { 'ogf': [((x*((-23)-(27*x)))/(x-1)**3)] }
-
-
-
-def A154377():
- x = SR.var('x')
- return { 'ogf': [((x*((-27)-(23*x)))/(x-1)**3)] }
-
-
-
-def A154378():
- x = SR.var('x')
- return { 'ogf': [((x*((10*x)+240))/(x-1)**2)] }
-
-
-
-def A154410():
- x = SR.var('x')
- return { 'ogf': [((10*(1-(3*x)))/((1-(2*x))*(1-(6*x))))] }
-
-
-
-def A154514():
- x = SR.var('x')
- return { 'ogf': [((x*((-577)-(718*x)-x**2))/(x-1)**3)] }
-
-
-
-def A154515():
- x = SR.var('x')
- return { 'ogf': [((x*(721+(574*x)+x**2))/(1-x)**3)] }
-
-
-
-def A154516():
- x = SR.var('x')
- return { 'ogf': [((x*((-8)-(10*x)))/(x-1)**3)] }
-
-
-
-def A154517():
- x = SR.var('x')
- return { 'ogf': [((x*((-10)-(8*x)))/(x-1)**3)] }
-
-
-
-def A154529():
- x = SR.var('x')
- return { 'ogf': [((((6*x**4)+(2*x**3)+(4*x)+1)-(4*x**2))/((1-x)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A154533():
- x = SR.var('x')
- return { 'ogf': [((((-10)+(21*x))-(13*x**2))/(x-1)**3)] }
-
-
-
-def A154549():
- x = SR.var('x')
- return { 'ogf': [((111111*x)/(1-x)**2)] }
-
-
-
-def A154560():
- x = SR.var('x')
- return { 'ogf': [((((1+(5*x))-(4*x**2))+x**3)/(1-x)**4)] }
-
-
-
-def A154570():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(9*x**2))/((1+x)*(1-(2*x))))] }
-
-
-
-def A154575():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((2*x)-3)*(x-3))/(x-1)**3))] }
-
-
-
-def A154576():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x)*(7-(5*x)))/(1-x)**3)] }
-
-
-
-def A154589():
- x = SR.var('x')
- return { 'ogf': [((4-(9*x))/(1-(2*x)))] }
-
-
-
-def A154590():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((3*x)-4)*(x-3))/(x-1)**3))] }
-
-
-
-def A154591():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x)*(9-(7*x)))/(1-x)**3)] }
-
-
-
-def A154595():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(3*x**2))/((1+x)*((x**2-x)+1)))] }
-
-
-
-def A154597():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(15*x)-x**2))] }
-
-
-
-def A154599():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((4*x)-5)*(x-3))/(x-1)**3))] }
-
-
-
-def A154609():
- x = SR.var('x')
- return { 'ogf': [(((8*x)+5)/(1-x)**2)] }
-
-
-
-def A154612():
- x = SR.var('x')
- return { 'ogf': [((7+(10*x))/(1-x)**2)] }
-
-
-
-def A154615():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)+(6*x**2)+(16*x**3)+x**4))/((1-x)**3*(1+x)**3))] }
-
-
-
-def A154623():
- x = SR.var('x')
- return { 'ogf': [((1/2)*(3-sqrt(((1-(9*x))/(1-(5*x))))))] }
-
-
-
-def A154626():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A154633():
- x = SR.var('x')
- return { 'ogf': [((3*(35+(980*x)+(1010*x**2)+(20*x**3)+(3*x**4)))/(1-x)**5)] }
-
-
-
-def A154635():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(5*x)))/((1-(8*x))+(6*x**2)))] }
-
-
-
-def A154636():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(5*x)))/((1-(8*x))+(3*x**2)))] }
-
-
-
-def A154637():
- x = SR.var('x')
- return { 'ogf': [(((1-(18*x))+(29*x**2))/((1-(20*x))+(3*x**2)))] }
-
-
-
-def A154708():
- x = SR.var('x')
- return { 'ogf': [((x*(x+3))/((x-1)**2*(x+1)))] }
-
-
-
-def A154805():
- x = SR.var('x')
- return { 'ogf': [((1111*x)/((x-1)*(x+1)*((10000*x)-1)))] }
-
-
-
-def A154806():
- x = SR.var('x')
- return { 'ogf': [((15*x)/((x-1)*(x+1)*((16*x)-1)))] }
-
-
-
-def A154807():
- x = SR.var('x')
- return { 'ogf': [((11111*x)/((x-1)*(x+1)*((100000*x)-1)))] }
-
-
-
-def A154808():
- x = SR.var('x')
- return { 'ogf': [((31*x)/((x-1)*(x+1)*((32*x)-1)))] }
-
-
-
-def A154811():
- x = SR.var('x')
- return { 'ogf': [(-((((1+x+(3*x**2))-x**3)+(3*x**4)+x**5+x**6)/((x-1)*(x**2+1)*((x**4-x**2)+1))))] }
-
-
-
-def A154825():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-sqrt(((1-(2*x))+(9*x**2))))/(4*x))] }
-
-
-
-def A154917():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1+x)*(1-(2*x))))] }
-
-
-
-def A154920():
- x = SR.var('x')
- return { 'ogf': [((1+(18*x)+(9*x**2))/(1-(9*x**2))**2)] }
-
-
-
-def A154949():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)*(1-x-x**2-x**3)))] }
-
-
-
-def A154958():
- x = SR.var('x')
- return { 'ogf': [(1/((x-1)**2*(x+1)**2*((x**2-x)+1)))] }
-
-
-
-def A154964():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(4*x**2))/(1-(3*x)-(6*x**2)))] }
-
-
-
-def A154968():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-(9*x**2))/(1-(4*x)-(12*x**2)))] }
-
-
-
-def A154992():
- x = SR.var('x')
- return { 'ogf': [((x**3+x**2)/(((3*x**2)-(4*x))+1))] }
-
-
-
-def A154996():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-(16*x**2))/(1-(5*x)-(20*x**2)))] }
-
-
-
-def A154997():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-(25*x**2))/(1-(6*x)-(30*x**2)))] }
-
-
-
-def A155000():
- x = SR.var('x')
- return { 'ogf': [((((49*x**2)+(7*x))-1)/(((56*x**2)+(8*x))-1))] }
-
-
-
-def A155017():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x)-(81*x**2))/(1-(10*x)-(90*x**2)))] }
-
-
-
-def A155020():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A155041():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(((1-x**2)+x**3)-x**5))] }
-
-
-
-def A155046():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/(1-(2*x**2)-x**4))] }
-
-
-
-def A155049():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-(13*x))+(10*x**2)))] }
-
-
-
-def A155069():
- x = SR.var('x')
- return { 'ogf': [((3-x-sqrt(((1-(6*x))+x**2)))/2),
-(4/((3-x)+sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A155073():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-(12*x)-(8*x**2)))] }
-
-
-
-def A155086():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(3*x)+(5*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A155095():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(9*x)+(4*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A155096():
- x = SR.var('x')
- return { 'ogf': [((x*(12+(5*x)+(12*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A155097():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(25*x)+(6*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A155116():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A155117():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A155119():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(5*x)-(5*x**2)))] }
-
-
-
-def A155120():
- x = SR.var('x')
- return { 'ogf': [((2*((((-1)+(6*x))-x**2)+(2*x**3)))/(x-1)**4)] }
-
-
-
-def A155121():
- x = SR.var('x')
- return { 'ogf': [(((3-(20*x)-(2*x**2)-(32*x**3))+(3*x**4))/(x-1)**5)] }
-
-
-
-def A155122():
- x = SR.var('x')
- return { 'ogf': [(-((8*(2+(35*x)+(35*x**2)))/(x-1)**5))] }
-
-
-
-def A155127():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(6*x)-(6*x**2)))] }
-
-
-
-def A155130():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(7*x)-(7*x**2)))] }
-
-
-
-def A155132():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(8*x)-(8*x**2)))] }
-
-
-
-def A155135():
- x = SR.var('x')
- return { 'ogf': [(-(((((28-(57*x))+(27*x**2)+(8*x**6))-(11*x**7))+(3*x**9))/(1-x)**3))] }
-
-
-
-def A155136():
- x = SR.var('x')
- return { 'ogf': [(-(((4-(3*x))*(7-(9*x)))/(1-x)**3))] }
-
-
-
-def A155137():
- x = SR.var('x')
- return { 'ogf': [((3*x*((((9-(20*x))+(9*x**2)+(16*x**5)+x**6)-(19*x**7))+x**8+(5*x**9)))/(1-x)**4)] }
-
-
-
-def A155138():
- x = SR.var('x')
- return { 'ogf': [((3*x*((((9-(20*x))+(9*x**2)+(32*x**5))-(30*x**6)-(8*x**7))+(10*x**8)))/(1-x)**4)] }
-
-
-
-def A155144():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(9*x)-(9*x**2)))] }
-
-
-
-def A155155():
- x = SR.var('x')
- return { 'ogf': [((18-(14*x))/(((3*x)-1)*(x-1)))] }
-
-
-
-def A155157():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(10*x)-(10*x**2)))] }
-
-
-
-def A155158():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(3*x**2))/(((1-x)+x**2)-x**3))] }
-
-
-
-def A155181():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(5*x)-x**2))] }
-
-
-
-def A155195():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(6*x)-x**2))] }
-
-
-
-def A155196():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(7*x)-x**2))] }
-
-
-
-def A155197():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(8*x)-x**2))] }
-
-
-
-def A155198():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(9*x)-x**2))] }
-
-
-
-def A155199():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(10*x)-x**2))] }
-
-
-
-def A155212():
- x = SR.var('x')
- return { 'ogf': [((((-2)-x)+(2*x**2))/(x-1)**3)] }
-
-
-
-def A155455():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(5*x)-(16*x**2)))] }
-
-
-
-def A155458():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-(25*x**2))/(1-(6*x)-(25*x**2)))] }
-
-
-
-def A155459():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x)-(36*x**2))/(1-(7*x)-(36*x**2)))] }
-
-
-
-def A155460():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x)-(49*x**2))/(1-(8*x)-(49*x**2)))] }
-
-
-
-def A155461():
- x = SR.var('x')
- return { 'ogf': [((30-(7*x)-(21*x**2))/(1-x)**3)] }
-
-
-
-def A155464():
- x = SR.var('x')
- return { 'ogf': [((17*x*(3-x))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A155465():
- x = SR.var('x')
- return { 'ogf': [(((7+(39*x))-(12*x**2))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A155466():
- x = SR.var('x')
- return { 'ogf': [(((28+(11*x))-(5*x**2))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A155477():
- x = SR.var('x')
- return { 'ogf': [(43/(1-(1849*x)))] }
-
-
-
-def A155484():
- x = SR.var('x')
- return { 'ogf': [(3169/(1-(10042561*x)))] }
-
-
-
-def A155485():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))**2/((1-x)*(1-(4*x))*(1-(5*x))))] }
-
-
-
-def A155542():
- x = SR.var('x')
- return { 'ogf': [((2+(2*x))/(1-(8*x)-(25*x**2)))] }
-
-
-
-def A155557():
- x = SR.var('x')
- return { 'ogf': [((x*(((-53089)+(106174*x))-(53089*x**2)))/(x-1)**3)] }
-
-
-
-def A155588():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(5*x)))+(1/(1-(2*x))))-(1/(1-x)))] }
-
-
-
-def A155589():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(6*x)))+(1/(1-(2*x))))-(1/(1-x)))] }
-
-
-
-def A155590():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))+(1/(1-(2*x))))-(1/(1-x)))] }
-
-
-
-def A155592():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))+(1/(1-(2*x))))-(1/(1-x)))] }
-
-
-
-def A155593():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))+(1/(1-(2*x))))-(1/(1-x)))] }
-
-
-
-def A155594():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))+(1/(1-(2*x))))-(1/(1-x)))] }
-
-
-
-def A155595():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(2*x))))-(1/(1-x)))] }
-
-
-
-def A155596():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(5*x)))-(1/(1-(2*x))))+(1/(1-x)))] }
-
-
-
-def A155597():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(6*x)))-(1/(1-(2*x))))+(1/(1-x)))] }
-
-
-
-def A155598():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))-(1/(1-(2*x))))+(1/(1-x)))] }
-
-
-
-def A155599():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))-(1/(1-(2*x))))+(1/(1-x)))] }
-
-
-
-def A155600():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))-(1/(1-(2*x))))+(1/(1-x)))] }
-
-
-
-def A155601():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))-(1/(1-(2*x))))+(1/(1-x)))] }
-
-
-
-def A155602():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(4*x)))+(1/(1-(3*x))))-(1/(1-x)))] }
-
-
-
-def A155603():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(5*x)))+(1/(1-(3*x))))-(1/(1-x)))] }
-
-
-
-def A155604():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(6*x)))+(1/(1-(3*x))))-(1/(1-x)))] }
-
-
-
-def A155605():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))+(1/(1-(3*x))))-(1/(1-x)))] }
-
-
-
-def A155606():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))+(1/(1-(3*x))))-(1/(1-x)))] }
-
-
-
-def A155607():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))+(1/(1-(3*x))))-(1/(1-x)))] }
-
-
-
-def A155608():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))+(1/(1-(3*x))))-(1/(1-x)))] }
-
-
-
-def A155609():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(4*x)))-(1/(1-(3*x))))+(1/(1-x)))] }
-
-
-
-def A155610():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(5*x)))-(1/(1-(3*x))))+(1/(1-x)))] }
-
-
-
-def A155611():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(6*x)))-(1/(1-(3*x))))+(1/(1-x)))] }
-
-
-
-def A155612():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))-(1/(1-(3*x))))+(1/(1-x)))] }
-
-
-
-def A155613():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))-(1/(1-(3*x))))+(1/(1-x)))] }
-
-
-
-def A155614():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))-(1/(1-(3*x))))+(1/(1-x)))] }
-
-
-
-def A155615():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))-(1/(1-(3*x))))+(1/(1-x)))] }
-
-
-
-def A155616():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(5*x)))+(1/(1-(4*x))))-(1/(1-x)))] }
-
-
-
-def A155617():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(6*x)))+(1/(1-(4*x))))-(1/(1-x)))] }
-
-
-
-def A155618():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))+(1/(1-(4*x))))-(1/(1-x)))] }
-
-
-
-def A155619():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))+(1/(1-(4*x))))-(1/(1-x)))] }
-
-
-
-def A155620():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))+(1/(1-(4*x))))-(1/(1-x)))] }
-
-
-
-def A155621():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))+(1/(1-(4*x))))-(1/(1-x)))] }
-
-
-
-def A155622():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(2*x))))+(1/(1-x)))] }
-
-
-
-def A155623():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(3*x))))-(1/(1-x)))] }
-
-
-
-def A155624():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(3*x))))+(1/(1-x)))] }
-
-
-
-def A155625():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(4*x))))-(1/(1-x)))] }
-
-
-
-def A155626():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(5*x)))-(1/(1-(4*x))))+(1/(1-x)))] }
-
-
-
-def A155627():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(6*x)))-(1/(1-(4*x))))+(1/(1-x)))] }
-
-
-
-def A155628():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))-(1/(1-(4*x))))+(1/(1-x)))] }
-
-
-
-def A155629():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))-(1/(1-(4*x))))+(1/(1-x)))] }
-
-
-
-def A155630():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))-(1/(1-(4*x))))+(1/(1-x)))] }
-
-
-
-def A155631():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))-(1/(1-(4*x))))+(1/(1-x)))] }
-
-
-
-def A155632():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(4*x))))+(1/(1-x)))] }
-
-
-
-def A155633():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(6*x)))+(1/(1-(5*x))))-(1/(1-x)))] }
-
-
-
-def A155634():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))+(1/(1-(5*x))))-(1/(1-x)))] }
-
-
-
-def A155635():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))+(1/(1-(5*x))))-(1/(1-x)))] }
-
-
-
-def A155636():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))+(1/(1-(5*x))))-(1/(1-x)))] }
-
-
-
-def A155637():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))+(1/(1-(5*x))))-(1/(1-x)))] }
-
-
-
-def A155638():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(5*x))))-(1/(1-x)))] }
-
-
-
-def A155639():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(6*x)))-(1/(1-(5*x))))+(1/(1-x)))] }
-
-
-
-def A155640():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))-(1/(1-(5*x))))+(1/(1-x)))] }
-
-
-
-def A155641():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))-(1/(1-(5*x))))+(1/(1-x)))] }
-
-
-
-def A155642():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))-(1/(1-(5*x))))+(1/(1-x)))] }
-
-
-
-def A155643():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))-(1/(1-(5*x))))+(1/(1-x)))] }
-
-
-
-def A155644():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(5*x))))+(1/(1-x)))] }
-
-
-
-def A155645():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))+(1/(1-(6*x))))-(1/(1-x)))] }
-
-
-
-def A155646():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))+(1/(1-(6*x))))-(1/(1-x)))] }
-
-
-
-def A155647():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))+(1/(1-(6*x))))-(1/(1-x)))] }
-
-
-
-def A155648():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))+(1/(1-(6*x))))-(1/(1-x)))] }
-
-
-
-def A155649():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(6*x))))-(1/(1-x)))] }
-
-
-
-def A155650():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(7*x)))-(1/(1-(6*x))))+(1/(1-x)))] }
-
-
-
-def A155651():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))-(1/(1-(6*x))))+(1/(1-x)))] }
-
-
-
-def A155652():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))-(1/(1-(6*x))))+(1/(1-x)))] }
-
-
-
-def A155653():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))-(1/(1-(6*x))))+(1/(1-x)))] }
-
-
-
-def A155654():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(6*x))))+(1/(1-x)))] }
-
-
-
-def A155655():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))+(1/(1-(7*x))))-(1/(1-x)))] }
-
-
-
-def A155656():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))+(1/(1-(7*x))))-(1/(1-x)))] }
-
-
-
-def A155657():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))+(1/(1-(7*x))))-(1/(1-x)))] }
-
-
-
-def A155658():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(7*x))))-(1/(1-x)))] }
-
-
-
-def A155659():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(8*x)))-(1/(1-(7*x))))+(1/(1-x)))] }
-
-
-
-def A155660():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))-(1/(1-(7*x))))+(1/(1-x)))] }
-
-
-
-def A155661():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))-(1/(1-(7*x))))+(1/(1-x)))] }
-
-
-
-def A155662():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(7*x))))+(1/(1-x)))] }
-
-
-
-def A155663():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))+(1/(1-(8*x))))-(1/(1-x)))] }
-
-
-
-def A155664():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))+(1/(1-(8*x))))-(1/(1-x)))] }
-
-
-
-def A155665():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(8*x))))-(1/(1-x)))] }
-
-
-
-def A155666():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(9*x)))-(1/(1-(8*x))))+(1/(1-x)))] }
-
-
-
-def A155667():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))-(1/(1-(8*x))))+(1/(1-x)))] }
-
-
-
-def A155668():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(8*x))))+(1/(1-x)))] }
-
-
-
-def A155669():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))+(1/(1-(9*x))))-(1/(1-x)))] }
-
-
-
-def A155670():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(9*x))))-(1/(1-x)))] }
-
-
-
-def A155671():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(10*x)))-(1/(1-(9*x))))+(1/(1-x)))] }
-
-
-
-def A155672():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(9*x))))+(1/(1-x)))] }
-
-
-
-def A155673():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))+(1/(1-(10*x))))-(1/(1-x)))] }
-
-
-
-def A155674():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-(11*x)))-(1/(1-(10*x))))+(1/(1-x)))] }
-
-
-
-def A155734():
- x = SR.var('x')
- return { 'ogf': [((3-(8*x))/(1-(3*x)))] }
-
-
-
-def A155751():
- x = SR.var('x')
- return { 'ogf': [(((((1-(7*x)-(2*x**2)-(3*x**3))+(4*x**4)+(6*x**5))-(8*x**6))+(5*x**7))/(1+x**8))] }
-
-
-
-def A155754():
- x = SR.var('x')
- return { 'ogf': [((((((((-(2*x**8))-(4*x**7)-(8*x**6))+(3*x**5)+(6*x**4))-(7*x**3))+(5*x**2))-(9*x))+1)/(x**9+1))] }
-
-
-
-def A155757():
- x = SR.var('x')
- return { 'ogf': [((x*(((5-(13*x))+(15*x**2))-(5*x**3)))/(1-x)**4)] }
-
-
-
-def A155769():
- x = SR.var('x')
- return { 'ogf': [((((-41)+(86*x))-(41*x**2))/(1-x)**3)] }
-
-
-
-def A155822():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((x**2-x)+1)*(x**2+1))/((((((2*x**5)-x**4)+(2*x**3))-x**2)+x)-1)))] }
-
-
-
-def A155859():
- x = SR.var('x')
- return { 'ogf': [((x*((4-(10*x))+(5*x**2)))/((1-(10*x))*(1-x)**2))] }
-
-
-
-def A155862():
- x = SR.var('x')
- return { 'ogf': [(2/(((3*sqrt(((1-(6*x))+x**2)))+x)-1))] }
-
-
-
-def A155867():
- x = SR.var('x')
- return { 'ogf': [((((sqrt(((((1-(10*x))+(19*x**2))-(10*x**3))+x**4))-x**2)+(3*x))-1)/(2*x*(x-1)))] }
-
-
-
-def A155872():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(10*x)))+(1/(1-(11*x))))] }
-
-
-
-def A155883():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(29*x)+(47*x**2)+(7*x**3)))/(1-x)**4)] }
-
-
-
-def A155888():
- x = SR.var('x')
- return { 'ogf': [(((((1-(8*x))+(21*x**2))-(21*x**3))+(6*x**4))/(((((1-(9*x))+(28*x**2))-(36*x**3))+(17*x**4))-(2*x**5)))] }
-
-
-
-def A155923():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(13+(30*x)+(55*x**2)+(30*x**3)+(13*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A155944():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(3*x)))/((1+x)*(1-x)*(1-(2*x))))] }
-
-
-
-def A155965():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(4*x))+(5*x**2)))/(1-x)**4)] }
-
-
-
-def A155966():
- x = SR.var('x')
- return { 'ogf': [((2*((4-(7*x))+(5*x**2)))/(1-x)**3)] }
-
-
-
-def A155977():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(14*x)+(30*x**2)+(14*x**3)+x**4))/(x-1)**6)] }
-
-
-
-def A155988():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/(1-(9*x))**2)] }
-
-
-
-def A156002():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(2*x))+(3*x**2)))/(((7*x)-1)*(1+x+x**2)*(x-1)**2)))] }
-
-
-
-def A156039():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+(3*x**2))-x**3)+x**4)/((1+x)*(1+x**2)*(1+x+x**2)*(x-1)**4))] }
-
-
-
-def A156040():
- x = SR.var('x')
- return { 'ogf': [((x**2+1)/(((1-x-x**2)+x**4+x**5)-x**6)),
-((1+x**2)/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A156066():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x+2)*((2*x)+1))/((x**2-(2*x)-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A156096():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(4*x**2)-(2*x**3)))] }
-
-
-
-def A156126():
- x = SR.var('x')
- return { 'ogf': [(((((1+(31*x))-(50*x**2))+(35*x**3))-(9*x**4))/(1-x)**4)] }
-
-
-
-def A156127():
- x = SR.var('x')
- return { 'ogf': [((4-x)/(((2*x)-1)*(x-1)))] }
-
-
-
-def A156156():
- x = SR.var('x')
- return { 'ogf': [((x*(13-(25*x)))/((1-(6*x))+x**2))] }
-
-
-
-def A156157():
- x = SR.var('x')
- return { 'ogf': [((17*x*(1-x))/((1-(6*x))+x**2))] }
-
-
-
-def A156158():
- x = SR.var('x')
- return { 'ogf': [((x*(25-(13*x)))/((1-(6*x))+x**2))] }
-
-
-
-def A156159():
- x = SR.var('x')
- return { 'ogf': [((x*(((169+(120*x)+(336*x**2))-(3562*x**3))+(336*x**4)+(120*x**5)+(169*x**6)))/((1-x)*((1-(34*x**3))+x**6)))] }
-
-
-
-def A156160():
- x = SR.var('x')
- return { 'ogf': [((x*((169-(3106*x))+(625*x**2)))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A156161():
- x = SR.var('x')
- return { 'ogf': [((x*((289-(2890*x))+(289*x**2)))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A156162():
- x = SR.var('x')
- return { 'ogf': [((x*((625-(3106*x))+(169*x**2)))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A156174():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A156194():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(7*x**2)+x**3+(7*x**4)+(2*x**5)+x**6+x**7+(4*x**8)+(2*x**9)+(4*x**10)+x**11)/((1-x)*(1+x+x**2)*(1+x)*((1-x)+x**2)*(1+x**2)*((x**4-x**2)+1)))] }
-
-
-
-def A156195():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1-(20*x**2)))+(10*x))-1)/(10*x*(1-(6*x))))] }
-
-
-
-def A156198():
- x = SR.var('x')
- return { 'ogf': [(((8*x)-(5*x**2))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A156202():
- x = SR.var('x')
- return { 'ogf': [((x*(10-(7*x)))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A156231():
- x = SR.var('x')
- return { 'ogf': [(1-((((((-(4*x**20))+(8*x**19)+(6*x**18))-(12*x**17)-(11*x**16)-(2*x**15))+(25*x**14)+(10*x**13))-(12*x**12))/((1+x+x**2)**2*(1+x)**5*(1+x**2)*(1-x)**9))-(((((((-(14*x**11))-(15*x**10))+(14*x**9)+(17*x**8)+(4*x**7))-(16*x**6)-(12*x**5))+(10*x**4)+(4*x**3))-(6*x**2))/((1+x+x**2)**2*(1+x)**5*(1+x**2)*(1-x)**9)))] }
-
-
-
-def A156232():
- x = SR.var('x')
- return { 'ogf': [((4*(x**3*(1-x)))/((1-(2*x))*(1-(2*x**2))))] }
-
-
-
-def A156269():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+(6*x**2))-(12*x**3)-(8*x**4)-(8*x**5))/(1+(4*x**3))**2)] }
-
-
-
-def A156279():
- x = SR.var('x')
- return { 'ogf': [((4*((-2)+x))/((-1)+x+x**2))] }
-
-
-
-def A156283():
- x = SR.var('x')
- return { 'ogf': [((1+x**4+(3*x**3)+(7*x**2)+(3*x))/((x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A156346():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(((x**4+(3*x**3))-x**2)+(3*x)+1))/((1+x**2)*((x**4-x**2)+1))))] }
-
-
-
-def A156376():
- x = SR.var('x')
- return { 'ogf': [((19+(11*x))/(x-1)**2)] }
-
-
-
-def A156536():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((7*x**4)+(12*x**3)+(11*x**2)+(12*x)+7))/((1+x**2)*((x**4-x**2)+1))))] }
-
-
-
-def A156550():
- x = SR.var('x')
- return { 'ogf': [((5*(1+x))/((1+x)-(2*x**2)))] }
-
-
-
-def A156551():
- x = SR.var('x')
- return { 'ogf': [((2*(((((4*x**8)-x**7)+x**6+x**5+x**3+x**2)-x)+4))/((1-x)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A156561():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)*(1+x**2)*((1-(3*x))+x**2)*((1-x**2)+x**4)))] }
-
-
-
-def A156567():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(17+(40*x)+(77*x**2)+(40*x**3)+(17*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A156568():
- x = SR.var('x')
- return { 'ogf': [((23*x*(1-x))/((1-(6*x))+x**2))] }
-
-
-
-def A156569():
- x = SR.var('x')
- return { 'ogf': [((x*(37-(17*x)))/((1-(6*x))+x**2))] }
-
-
-
-def A156570():
- x = SR.var('x')
- return { 'ogf': [((x*(17-(37*x)))/((1-(6*x))+x**2))] }
-
-
-
-def A156572():
- x = SR.var('x')
- return { 'ogf': [((x*(((289+(240*x)+(840*x**2))-(6970*x**3))+(840*x**4)+(240*x**5)+(289*x**6)))/((1-x)*((1-(34*x**3))+x**6)))] }
-
-
-
-def A156573():
- x = SR.var('x')
- return { 'ogf': [((529*x*((1-(10*x))+x**2))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A156574():
- x = SR.var('x')
- return { 'ogf': [((x*((1369-(5890*x))+(289*x**2)))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A156575():
- x = SR.var('x')
- return { 'ogf': [((x*((289-(5890*x))+(1369*x**2)))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A156589():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(10*x**2))/(((-1)+x)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A156591():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))*(2-(3*x)))/((1+x)*(1-(2*x))))] }
-
-
-
-def A156605():
- x = SR.var('x')
- return { 'ogf': [((7-(27*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A156619():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(11*x)+(7*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A156627():
- x = SR.var('x')
- return { 'ogf': [((x*(2574+(1820*x)))/(x-1)**2)] }
-
-
-
-def A156635():
- x = SR.var('x')
- return { 'ogf': [((x*((-143)-(145*x)))/(x-1)**3)] }
-
-
-
-def A156636():
- x = SR.var('x')
- return { 'ogf': [((26*(70+(99*x)))/(x-1)**2)] }
-
-
-
-def A156638():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**2)+x+4))/((x**3-x**2-x)+1)),
-((x*(4+x+(4*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A156639():
- x = SR.var('x')
- return { 'ogf': [((x*((-58)-(251*x)-(29*x**2)))/(x-1)**3)] }
-
-
-
-def A156650():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(85+(174*x)+(265*x**2)+(366*x**3)+(485*x**4)+(630*x**5)+(805*x**6)+(990*x**7)+(1211*x**8)+(990*x**9)+(805*x**10)+(630*x**11)+(485*x**12)+(366*x**13)+(265*x**14)+(174*x**15)+(85*x**16)))/((1-(6*x**9))+x**18))] }
-
-
-
-def A156664():
- x = SR.var('x')
- return { 'ogf': [(((x**2-(2*x))+1)/((((2*x**3)+(3*x**2))-(4*x))+1))] }
-
-
-
-def A156674():
- x = SR.var('x')
- return { 'ogf': [(((10*x**2)+(29*x)+10)/((x**3-x**2-x)+1)),
-((x*((2*x)+5)*((5*x)+2))/((1+x)*(1-x)**2))] }
-
-
-
-def A156675():
- x = SR.var('x')
- return { 'ogf': [(17/((1-(101*x))+(100*x**2)))] }
-
-
-
-def A156676():
- x = SR.var('x')
- return { 'ogf': [((6+(25*x)+(131*x**2))/(1-x)**3)] }
-
-
-
-def A156677():
- x = SR.var('x')
- return { 'ogf': [((((-43)+(123*x))-(242*x**2))/(x-1)**3)] }
-
-
-
-def A156701():
- x = SR.var('x')
- return { 'ogf': [(((-4)-(25*x**4)-(11*x**3)-(51*x**2)-(5*x))/(x-1)**5)] }
-
-
-
-def A156702():
- x = SR.var('x')
- return { 'ogf': [(((-x**4)+(2*x**3)+(126*x**2)+(34*x)+127)/((x**5-x**4-x)+1))] }
-
-
-
-def A156711():
- x = SR.var('x')
- return { 'ogf': [((x*((-28)-(215*x)-(45*x**2)))/(x-1)**3)] }
-
-
-
-def A156712():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2-(8*x))+1))/((((-x**3)+(15*x**2))-(15*x))+1))] }
-
-
-
-def A156713():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(12005+(24472*x)+(37457*x**2)+(51520*x**3)+(66545*x**4)+(83352*x**5)+(102425*x**6)+(123348*x**7)+(147505*x**8)+(174252*x**9)+(205465*x**10)+(174252*x**11)+(147505*x**12)+(123348*x**13)+(102425*x**14)+(83352*x**15)+(66545*x**16)+(51520*x**17)+(37457*x**18)+(24472*x**19)+(12005*x**20)))/((1-(6*x**11))+x**22))] }
-
-
-
-def A156718():
- x = SR.var('x')
- return { 'ogf': [((x*(70+(29*x)+(70*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A156719():
- x = SR.var('x')
- return { 'ogf': [((x*((-45)-(215*x)-(28*x**2)))/(x-1)**3)] }
-
-
-
-def A156721():
- x = SR.var('x')
- return { 'ogf': [((x*((-19603)-(84840*x)-(9801*x**2)))/(x-1)**3)] }
-
-
-
-def A156735():
- x = SR.var('x')
- return { 'ogf': [((9801+(84840*x)+(19603*x**2))/(1-x)**3)] }
-
-
-
-def A156752():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**4)/(1-x))] }
-
-
-
-def A156755():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+x**3+x**4+(2*x**5)+(2*x**6)+(2*x**7)+(3*x**8))/((1-x)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A156760():
- x = SR.var('x')
- return { 'ogf': [((4-x)/((1-x)*(1-(4*x))))] }
-
-
-
-def A156771():
- x = SR.var('x')
- return { 'ogf': [((x*(198+(531*x)))/(x-1)**2)] }
-
-
-
-def A156772():
- x = SR.var('x')
- return { 'ogf': [((x*(531+(198*x)))/(x-1)**2)] }
-
-
-
-def A156773():
- x = SR.var('x')
- return { 'ogf': [(((3482-(9961*x))+(19601*x**2))/(1-x)**3)] }
-
-
-
-def A156774():
- x = SR.var('x')
- return { 'ogf': [(((-485)-(2027*x)-(10610*x**2))/(x-1)**3)] }
-
-
-
-def A156795():
- x = SR.var('x')
- return { 'ogf': [((x*(22+(59*x)))/(1-x)**2)] }
-
-
-
-def A156796():
- x = SR.var('x')
- return { 'ogf': [((x*(59+(22*x)))/(1-x)**2)] }
-
-
-
-def A156798():
- x = SR.var('x')
- return { 'ogf': [((2*((((2-(5*x))+(15*x**2))-(5*x**3))+(5*x**4)))/(1-x)**5)] }
-
-
-
-def A156810():
- x = SR.var('x')
- return { 'ogf': [((((-70)+(166*x))-(546*x**2))/(x-1)**3)] }
-
-
-
-def A156812():
- x = SR.var('x')
- return { 'ogf': [((((-44)+(62*x))-(468*x**2))/(x-1)**3)] }
-
-
-
-def A156813():
- x = SR.var('x')
- return { 'ogf': [((x*((-224)-(226*x)))/(x-1)**3)] }
-
-
-
-def A156814():
- x = SR.var('x')
- return { 'ogf': [((x*((-226)-(224*x)))/(x-1)**3)] }
-
-
-
-def A156835():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(593+(1188*x)+(1811*x**2)+(2448*x**3)+(3145*x**4)+(3852*x**5)+(4585*x**6)+(5418*x**7)+(6383*x**8)+(7398*x**9)+(8435*x**10)+(9660*x**11)+(10955*x**12)+(12502*x**13)+(14087*x**14)+(12502*x**15)+(10955*x**16)+(9660*x**17)+(8435*x**18)+(7398*x**19)+(6383*x**20)+(5418*x**21)+(4585*x**22)+(3852*x**23)+(3145*x**24)+(2448*x**25)+(1811*x**26)+(1188*x**27)+(593*x**28)))/((1-(6*x**15))+x**30))] }
-
-
-
-def A156841():
- x = SR.var('x')
- return { 'ogf': [((46+(125*x)+(887*x**2))/(1-x)**3)] }
-
-
-
-def A156842():
- x = SR.var('x')
- return { 'ogf': [((x*((-46)-(749*x)-(263*x**2)))/(x-1)**3)] }
-
-
-
-def A156843():
- x = SR.var('x')
- return { 'ogf': [((24335+(66123*x)+(469224*x**2))/(1-x)**3)] }
-
-
-
-def A156844():
- x = SR.var('x')
- return { 'ogf': [((x*((-24335)-(396219*x)-(139128*x**2)))/(x-1)**3)] }
-
-
-
-def A156845():
- x = SR.var('x')
- return { 'ogf': [((x*(3588+(8579*x)))/(x-1)**2)] }
-
-
-
-def A156846():
- x = SR.var('x')
- return { 'ogf': [((x*(8579+(3588*x)))/(x-1)**2)] }
-
-
-
-def A156849():
- x = SR.var('x')
- return { 'ogf': [((x*(156+(217*x)+(156*x**2)))/((1-x-x**2)+x**3))] }
-
-
-
-def A156853():
- x = SR.var('x')
- return { 'ogf': [((x*((-1428)-(2570*x)-(52*x**2)))/(x-1)**3)] }
-
-
-
-def A156854():
- x = SR.var('x')
- return { 'ogf': [((x*((-52)-(2570*x)-(1428*x**2)))/(x-1)**3)] }
-
-
-
-def A156855():
- x = SR.var('x')
- return { 'ogf': [((x*(2024+(2026*x)))/(1-x)**3)] }
-
-
-
-def A156856():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1013+(1012*x)))/(1-x)**3)] }
-
-
-
-def A156857():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1+(2*x)+(9*x**2)+(8*x**3)+(16*x**4)))] }
-
-
-
-def A156859():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x))/((1+x)*(1-x)**3))] }
-
-
-
-def A156865():
- x = SR.var('x')
- return { 'ogf': [((180*x*(649+(3401*x)))/(x-1)**2)] }
-
-
-
-def A156866():
- x = SR.var('x')
- return { 'ogf': [((180*x*(3401+(649*x)))/(x-1)**2)] }
-
-
-
-def A156867():
- x = SR.var('x')
- return { 'ogf': [((x*(728820+(180*x)))/(x-1)**2)] }
-
-
-
-def A156868():
- x = SR.var('x')
- return { 'ogf': [((180*x*(4051-x))/(x-1)**2)] }
-
-
-
-def A156872():
- x = SR.var('x')
- return { 'ogf': [((((1+(3*x))-x**2)+(3*x**3)+x**4)/((1+x**2)*((x**4-x**2)+1)))] }
-
-
-
-def A156906():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+sqrt((1+(4*x**2))))/(2*(1+x)))] }
-
-
-
-def A157002():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x*(1-x**2)))))/(2*x*(1+x)))] }
-
-
-
-def A157004():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((1-(4*x*(1-x**2)))))] }
-
-
-
-def A157014():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((x**2-(22*x))+1))] }
-
-
-
-def A157024():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(63*x**2)+(8*x**3)+x**4)/(1-x)**4)] }
-
-
-
-def A157052():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x)+(4*x**2)+(2*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A157053():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(3*x)+(9*x**2)+(9*x**3)+(9*x**4)+(3*x**5)+x**6))/(1-x)**9)] }
-
-
-
-def A157054():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(4*x)+(16*x**2)+(24*x**3)+(36*x**4)+(24*x**5)+(16*x**6)+(4*x**7)+x**8))/(1-x)**11)] }
-
-
-
-def A157055():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**10+(5*x**9)+(25*x**8)+(50*x**7)+(100*x**6)+(100*x**5)+(100*x**4)+(50*x**3)+(25*x**2)+(5*x)+1))/(x-1)**13))] }
-
-
-
-def A157056():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**12+(6*x**11)+(36*x**10)+(90*x**9)+(225*x**8)+(300*x**7)+(400*x**6)+(300*x**5)+(225*x**4)+(90*x**3)+(36*x**2)+(6*x)+1))/(x-1)**15))] }
-
-
-
-def A157057():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**14+(7*x**13)+(49*x**12)+(147*x**11)+(441*x**10)+(735*x**9)+(1225*x**8)+(1225*x**7)+(1225*x**6)+(735*x**5)+(441*x**4)+(147*x**3)+(49*x**2)+(7*x)+1))/(x-1)**17))] }
-
-
-
-def A157058():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**16+(8*x**15)+(64*x**14)+(224*x**13)+(784*x**12)+(1568*x**11)+(3136*x**10)+(3920*x**9)+(4900*x**8)+(3920*x**7)+(3136*x**6)+(1568*x**5)+(784*x**4)+(224*x**3)+(64*x**2)+(8*x)+1))/(x-1)**19))] }
-
-
-
-def A157059():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x**18+(9*x**17)+(81*x**16)+(324*x**15)+(1296*x**14)+(3024*x**13)+(7056*x**12)+(10584*x**11)+(15876*x**10)+(15876*x**9)+(15876*x**8)+(10584*x**7)+(7056*x**6)+(3024*x**5)+(1296*x**4)+(324*x**3)+(81*x**2)+(9*x)+1))/(x-1)**21))] }
-
-
-
-def A157078():
- x = SR.var('x')
- return { 'ogf': [((x*((-842401)-(41633998*x)-(23133601*x**2)))/(x-1)**3)] }
-
-
-
-def A157079():
- x = SR.var('x')
- return { 'ogf': [((x*((-23133601)-(41633998*x)-(842401*x**2)))/(x-1)**3)] }
-
-
-
-def A157080():
- x = SR.var('x')
- return { 'ogf': [((x*((-32788801)-(32821198*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157081():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**2)-(32788798*x)-32821201))/(x-1)**3)] }
-
-
-
-def A157084():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-5)+x))/((x-1)*((x**2-(10*x))+1))),
-((1/(x-1))+((x+1)/((x**2-(10*x))+1)))] }
-
-
-
-def A157085():
- x = SR.var('x')
- return { 'ogf': [(((2-(8*x))+(2*x**2))/(((1-(11*x))+(11*x**2))-x**3))] }
-
-
-
-def A157088():
- x = SR.var('x')
- return { 'ogf': [((3*x*((-7)+x))/((x-1)*((x**2-(14*x))+1)))] }
-
-
-
-def A157089():
- x = SR.var('x')
- return { 'ogf': [(((3-(18*x))+(3*x**2))/(((1-(15*x))+(15*x**2))-x**3))] }
-
-
-
-def A157092():
- x = SR.var('x')
- return { 'ogf': [((4*x*((-9)+x))/((x-1)*((x**2-(18*x))+1)))] }
-
-
-
-def A157093():
- x = SR.var('x')
- return { 'ogf': [((4*((1-(8*x))+x**2))/((1-x)*((1-(18*x))+x**2)))] }
-
-
-
-def A157096():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x-11))/((x-1)*((x**2-(22*x))+1)))] }
-
-
-
-def A157097():
- x = SR.var('x')
- return { 'ogf': [((5*((1-(10*x))+x**2))/((1-x)*((1-(22*x))+x**2)))] }
-
-
-
-def A157110():
- x = SR.var('x')
- return { 'ogf': [((x*((-85)-(2267*x)-(1010*x**2)))/(x-1)**3)] }
-
-
-
-def A157111():
- x = SR.var('x')
- return { 'ogf': [((x*((106846*x)+30996))/(x-1)**2)] }
-
-
-
-def A157112():
- x = SR.var('x')
- return { 'ogf': [((x*((-285769)-(7621656*x)-(3395619*x**2)))/(x-1)**3)] }
-
-
-
-def A157119():
- x = SR.var('x')
- return { 'ogf': [((x*((84+(21*x)+(204*x**2))-(48*x**3)-(7*x**4)-(48*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A157120():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(73+(176*x)+(381*x**2)+(176*x**3)+(73*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A157125():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(sqrt((1+x**2+(4*x**3)))-sqrt((1+x**2))))/(2*x**3*sqrt((1+x**2))))] }
-
-
-
-def A157142():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1+x)**2)] }
-
-
-
-def A157144():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**11+(3*x**8)+x**6+(9*x**5))-(2*x**4))+(3*x**2)+(2*x))-1)/(x**12+(3*x**9)+(8*x**6)+(3*x**3)+1)))] }
-
-
-
-def A157213():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(97+(234*x)+(511*x**2)+(234*x**3)+(97*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A157240():
- x = SR.var('x')
- return { 'ogf': [(((2-(7*x))+(8*x**2))/((1-x)*(((4*x**2)-(2*x))+1)))] }
-
-
-
-def A157241():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(((4*x**2)-(2*x))+1)))] }
-
-
-
-def A157246():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(245+(510*x)+(797*x**2)+(1140*x**3)+(1567*x**4)+(2060*x**5)+(2697*x**6)+(2060*x**7)+(1567*x**8)+(1140*x**9)+(797*x**10)+(510*x**11)+(245*x**12)))/((1-(6*x**7))+x**14))] }
-
-
-
-def A157247():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1715+(3496*x)+(5351*x**2)+(7360*x**3)+(9761*x**4)+(12750*x**5)+(16201*x**6)+(20022*x**7)+(24481*x**8)+(20022*x**9)+(16201*x**10)+(12750*x**11)+(9761*x**12)+(7360*x**13)+(5351*x**14)+(3496*x**15)+(1715*x**16)))/((1-(6*x**9))+x**18))] }
-
-
-
-def A157257():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(29+(70*x)+(155*x**2)+(70*x**3)+(29*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A157262():
- x = SR.var('x')
- return { 'ogf': [((x*((-2)-(49*x)-(21*x**2)))/(x-1)**3)] }
-
-
-
-def A157263():
- x = SR.var('x')
- return { 'ogf': [((x*(408+(1320*x)))/(x-1)**2)] }
-
-
-
-def A157264():
- x = SR.var('x')
- return { 'ogf': [((x*((-577)-(14110*x)-(6049*x**2)))/(x-1)**3)] }
-
-
-
-def A157265():
- x = SR.var('x')
- return { 'ogf': [((x*((-21)-(49*x)-(2*x**2)))/(x-1)**3)] }
-
-
-
-def A157266():
- x = SR.var('x')
- return { 'ogf': [((x*(1320+(408*x)))/(x-1)**2)] }
-
-
-
-def A157267():
- x = SR.var('x')
- return { 'ogf': [((x*((-6049)-(14110*x)-(577*x**2)))/(x-1)**3)] }
-
-
-
-def A157286():
- x = SR.var('x')
- return { 'ogf': [((x*((37*x)+35))/(1-x)**3)] }
-
-
-
-def A157287():
- x = SR.var('x')
- return { 'ogf': [((x*((24*x)+1704))/(x-1)**2)] }
-
-
-
-def A157288():
- x = SR.var('x')
- return { 'ogf': [((x*((-10081)-(10654*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157297():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(185+(418*x)+(735*x**2)+(418*x**3)+(185*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A157324():
- x = SR.var('x')
- return { 'ogf': [((x*((-37)-(35*x)))/(x-1)**3)] }
-
-
-
-def A157325():
- x = SR.var('x')
- return { 'ogf': [((x*(1752-(24*x)))/(1-x)**2)] }
-
-
-
-def A157326():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**2)-(10078*x)-10657))/(x-1)**3)] }
-
-
-
-def A157327():
- x = SR.var('x')
- return { 'ogf': [(((2*(1-(4*x**2)))/(1+(4*x**2))**2)+((3*x*(1-(9*x**2)))/(1+(9*x**2))**2))] }
-
-
-
-def A157330():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x)+56))/(x-1)**2)] }
-
-
-
-def A157331():
- x = SR.var('x')
- return { 'ogf': [((x*((-97)-(158*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157332():
- x = SR.var('x')
- return { 'ogf': [(((5*(1-(25*x**2)))/(1+(25*x**2))**2)-((956*x*(1-(57121*x**2)))/(1+(57121*x**2))**2))] }
-
-
-
-def A157337():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**2)-(94*x)-161))/(x-1)**3)] }
-
-
-
-def A157348():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(229+(510*x)+(875*x**2)+(510*x**3)+(229*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A157362():
- x = SR.var('x')
- return { 'ogf': [((x*(47+(51*x)))/(1-x)**3)] }
-
-
-
-def A157363():
- x = SR.var('x')
- return { 'ogf': [((14*x*(48+x))/(1-x)**2)] }
-
-
-
-def A157364():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**2)-(4996*x)-4607))/(x-1)**3)] }
-
-
-
-def A157365():
- x = SR.var('x')
- return { 'ogf': [((x*(51+(47*x)))/(1-x)**3)] }
-
-
-
-def A157366():
- x = SR.var('x')
- return { 'ogf': [((14*x*(50-x))/(1-x)**2)] }
-
-
-
-def A157370():
- x = SR.var('x')
- return { 'ogf': [((x*((-(1520*x**2))-(3183*x)-99))/(x-1)**3)] }
-
-
-
-def A157371():
- x = SR.var('x')
- return { 'ogf': [(((((55*x**3)-(59*x**2))+(37*x))-9)/(x-1)**5)] }
-
-
-
-def A157373():
- x = SR.var('x')
- return { 'ogf': [((x*((-31)-(65*x)-(2*x**2)))/(x-1)**3)] }
-
-
-
-def A157374():
- x = SR.var('x')
- return { 'ogf': [((x*((70*x)+273))/(x-1)**2)] }
-
-
-
-def A157375():
- x = SR.var('x')
- return { 'ogf': [((x*((-1520)-(3183*x)-(99*x**2)))/(x-1)**3)] }
-
-
-
-def A157376():
- x = SR.var('x')
- return { 'ogf': [((x*((-1107)-(9737*x)-(2278*x**2)))/(x-1)**3)] }
-
-
-
-def A157377():
- x = SR.var('x')
- return { 'ogf': [((x*(218295+(313146*x)))/(x-1)**2)] }
-
-
-
-def A157378():
- x = SR.var('x')
- return { 'ogf': [((x*((-7263026)-(63884459*x)-(14945957*x**2)))/(x-1)**3)] }
-
-
-
-def A157411():
- x = SR.var('x')
- return { 'ogf': [(((((-19)+(106*x))-(264*x**2))+(646*x**3)+(251*x**4))/(1-x)**5)] }
-
-
-
-def A157418():
- x = SR.var('x')
- return { 'ogf': [((2-x-(2*x**2)-((x+2)*sqrt((1-(4*x)-(4*x**2)))))/(2*(x+1)**2))] }
-
-
-
-def A157432():
- x = SR.var('x')
- return { 'ogf': [((x*(648-(584*x)))/(1-x)**2)] }
-
-
-
-def A157435():
- x = SR.var('x')
- return { 'ogf': [((x*(696-(632*x)))/(1-x)**2)] }
-
-
-
-def A157440():
- x = SR.var('x')
- return { 'ogf': [((x*((-3)-(153*x)-(86*x**2)))/(x-1)**3)] }
-
-
-
-def A157441():
- x = SR.var('x')
- return { 'ogf': [((x*(209+(1122*x)))/(x-1)**2)] }
-
-
-
-def A157442():
- x = SR.var('x')
- return { 'ogf': [((x*((-(10405*x**2))-(18515*x)-362))/(x-1)**3)] }
-
-
-
-def A157443():
- x = SR.var('x')
- return { 'ogf': [((x*((-86)-(153*x)-(3*x**2)))/(x-1)**3)] }
-
-
-
-def A157444():
- x = SR.var('x')
- return { 'ogf': [((x*((209*x)+1122))/(x-1)**2)] }
-
-
-
-def A157445():
- x = SR.var('x')
- return { 'ogf': [((x*((-10405)-(18515*x)-(362*x**2)))/(x-1)**3)] }
-
-
-
-def A157446():
- x = SR.var('x')
- return { 'ogf': [((x*(15+(17*x)))/(1-x)**3)] }
-
-
-
-def A157447():
- x = SR.var('x')
- return { 'ogf': [((x*((16*x)+496))/(x-1)**2)] }
-
-
-
-def A157448():
- x = SR.var('x')
- return { 'ogf': [((x*((-1921)-(2174*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157456():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+x))/((1-(16*x))+x**2)))] }
-
-
-
-def A157459():
- x = SR.var('x')
- return { 'ogf': [((72*x**2)/(((1-(323*x))+(323*x**2))-x**3))] }
-
-
-
-def A157460():
- x = SR.var('x')
- return { 'ogf': [((88*x**2)/(((1-(483*x))+(483*x**2))-x**3))] }
-
-
-
-def A157461():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1))/((x**2-(26*x))+1))] }
-
-
-
-def A157469():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(85+(182*x)+(295*x**2)+(182*x**3)+(85*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A157475():
- x = SR.var('x')
- return { 'ogf': [((16*x*(33-x))/(1-x)**2)] }
-
-
-
-def A157476():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**2)-(1918*x)-2177))/(x-1)**3)] }
-
-
-
-def A157505():
- x = SR.var('x')
- return { 'ogf': [((x*(1476-(18*x)))/(1-x)**2)] }
-
-
-
-def A157506():
- x = SR.var('x')
- return { 'ogf': [((x*(13447+(12796*x)+x**2))/(1-x)**3)] }
-
-
-
-def A157507():
- x = SR.var('x')
- return { 'ogf': [((x*((-79)-(83*x)))/(x-1)**3)] }
-
-
-
-def A157509():
- x = SR.var('x')
- return { 'ogf': [((x*((-12799)-(13444*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157510():
- x = SR.var('x')
- return { 'ogf': [((x*(1020-(20*x)))/(1-x)**2)] }
-
-
-
-def A157511():
- x = SR.var('x')
- return { 'ogf': [(-(x*((5201+(x*(4798+x)))/(x-1)**3)))] }
-
-
-
-def A157514():
- x = SR.var('x')
- return { 'ogf': [((x*((-24)-(26*x)))/(x-1)**3)] }
-
-
-
-def A157515():
- x = SR.var('x')
- return { 'ogf': [((x*(980+(20*x)))/(1-x)**2)] }
-
-
-
-def A157516():
- x = SR.var('x')
- return { 'ogf': [((x*((-4801)-(5198*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157517():
- x = SR.var('x')
- return { 'ogf': [(((-7)+(8*x)+(11*x**2))/(x-1)**3)] }
-
-
-
-def A157534():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((1-(6*x))+(15*x**2))-(45*x**4))+(54*x**5)+(16*x**6)))/(1-x)**9)] }
-
-
-
-def A157535():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((((((((((((434*x**16)+(19697*x**15)+(99303*x**14))-(116957*x**13)-(153862*x**12))+(406284*x**11))-(362744*x**10))+(160940*x**9))-(16710*x**8)-(25990*x**7))+(20878*x**6))-(9354*x**5))+(3002*x**4))-(728*x**3))+(132*x**2))-(16*x))+1))/(x-1)**19))] }
-
-
-
-def A157613():
- x = SR.var('x')
- return { 'ogf': [((x*(2684-(22*x)))/(1-x)**2)] }
-
-
-
-def A157618():
- x = SR.var('x')
- return { 'ogf': [((x*((-53)-(883*x)-(314*x**2)))/(x-1)**3)] }
-
-
-
-def A157619():
- x = SR.var('x')
- return { 'ogf': [((x*(9100+(22150*x)))/(x-1)**2)] }
-
-
-
-def A157620():
- x = SR.var('x')
- return { 'ogf': [((x*((-66249)-(1103752*x)-(392499*x**2)))/(x-1)**3)] }
-
-
-
-def A157621():
- x = SR.var('x')
- return { 'ogf': [((x*((-314)-(883*x)-(53*x**2)))/(x-1)**3)] }
-
-
-
-def A157622():
- x = SR.var('x')
- return { 'ogf': [((x*(22150+(9100*x)))/(x-1)**2)] }
-
-
-
-def A157623():
- x = SR.var('x')
- return { 'ogf': [((392499+(1103752*x)+(66249*x**2))/(1-x)**3)] }
-
-
-
-def A157626():
- x = SR.var('x')
- return { 'ogf': [((x*((-6)-(137*x)-(57*x**2)))/(x-1)**3)] }
-
-
-
-def A157627():
- x = SR.var('x')
- return { 'ogf': [((x*(1960+(6040*x)))/(x-1)**2)] }
-
-
-
-def A157628():
- x = SR.var('x')
- return { 'ogf': [((x*((-4801)-(109598*x)-(45601*x**2)))/(x-1)**3)] }
-
-
-
-def A157646():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(25+(56*x)+(97*x**2)+(56*x**3)+(25*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A157651():
- x = SR.var('x')
- return { 'ogf': [((x*((-57)-(137*x)-(6*x**2)))/(x-1)**3)] }
-
-
-
-def A157652():
- x = SR.var('x')
- return { 'ogf': [((x*(6040+(1960*x)))/(x-1)**2)] }
-
-
-
-def A157653():
- x = SR.var('x')
- return { 'ogf': [((x*((-45601)-(109598*x)-(4801*x**2)))/(x-1)**3)] }
-
-
-
-def A157659():
- x = SR.var('x')
- return { 'ogf': [((x*((-99)-(101*x)))/(x-1)**3)] }
-
-
-
-def A157660():
- x = SR.var('x')
- return { 'ogf': [((x*((40*x)+7960))/(x-1)**2)] }
-
-
-
-def A157661():
- x = SR.var('x')
- return { 'ogf': [((x*((-79201)-(80798*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157663():
- x = SR.var('x')
- return { 'ogf': [((x*(8040-(40*x)))/(1-x)**2)] }
-
-
-
-def A157664():
- x = SR.var('x')
- return { 'ogf': [((x*(80801+(79198*x)+x**2))/(1-x)**3)] }
-
-
-
-def A157665():
- x = SR.var('x')
- return { 'ogf': [((x*((-67)-(1037*x)-(354*x**2)))/(x-1)**3)] }
-
-
-
-def A157666():
- x = SR.var('x')
- return { 'ogf': [((27*x*((508*x)+221))/(x-1)**2)] }
-
-
-
-def A157667():
- x = SR.var('x')
- return { 'ogf': [((x*((-48842)-(755975*x)-(258065*x**2)))/(x-1)**3)] }
-
-
-
-def A157668():
- x = SR.var('x')
- return { 'ogf': [((x*((-354)-(1037*x)-(67*x**2)))/(x-1)**3)] }
-
-
-
-def A157669():
- x = SR.var('x')
- return { 'ogf': [((x*(13716+(5967*x)))/(x-1)**2)] }
-
-
-
-def A157670():
- x = SR.var('x')
- return { 'ogf': [((x*((-258065)-(755975*x)-(48842*x**2)))/(x-1)**3)] }
-
-
-
-def A157706():
- x = SR.var('x')
- return { 'ogf': [((7+(26*x)+(7*x**2))/(1-x)**7)] }
-
-
-
-def A157707():
- x = SR.var('x')
- return { 'ogf': [((16+(93*x)+(66*x**2)+(5*x**3))/(1-x)**7)] }
-
-
-
-def A157708():
- x = SR.var('x')
- return { 'ogf': [((18+(128*x)+(171*x**2)+(42*x**3)+x**4)/(1-x)**7)] }
-
-
-
-def A157716():
- x = SR.var('x')
- return { 'ogf': [((x**2*(15+(2*x)+(15*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A157725():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((3*x)-2))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A157726():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x)-(4*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A157728():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1+x)**2)/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A157729():
- x = SR.var('x')
- return { 'ogf': [((5-(4*x)-(6*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A157730():
- x = SR.var('x')
- return { 'ogf': [((x*((-88)-(659*x)-(135*x**2)))/(x-1)**3)] }
-
-
-
-def A157732():
- x = SR.var('x')
- return { 'ogf': [((x*((-77617)-(581236*x)-(119071*x**2)))/(x-1)**3)] }
-
-
-
-def A157734():
- x = SR.var('x')
- return { 'ogf': [((x*((-135)-(659*x)-(88*x**2)))/(x-1)**3)] }
-
-
-
-def A157735():
- x = SR.var('x')
- return { 'ogf': [((x*(10248+(8274*x)))/(x-1)**2)] }
-
-
-
-def A157736():
- x = SR.var('x')
- return { 'ogf': [((x*((-119071)-(581236*x)-(77617*x**2)))/(x-1)**3)] }
-
-
-
-def A157737():
- x = SR.var('x')
- return { 'ogf': [((x*((-439)-(443*x)))/(x-1)**3)] }
-
-
-
-def A157738():
- x = SR.var('x')
- return { 'ogf': [((x*(18480+(42*x)))/(x-1)**2)] }
-
-
-
-def A157739():
- x = SR.var('x')
- return { 'ogf': [((x*((-387199)-(390724*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157740():
- x = SR.var('x')
- return { 'ogf': [((x*(18564-(42*x)))/(1-x)**2)] }
-
-
-
-def A157741():
- x = SR.var('x')
- return { 'ogf': [((x*(390727+(387196*x)+x**2))/(1-x)**3)] }
-
-
-
-def A157746():
- x = SR.var('x')
- return { 'ogf': [(1/(x**11+x**10+x**6+x**5+x**4+x**2+1))] }
-
-
-
-def A157748():
- x = SR.var('x')
- return { 'ogf': [(1/((((-x**11)+x**10+(2*x**7))-x**6-x**5-x**4-x**2)+(2*x)+1))] }
-
-
-
-def A157757():
- x = SR.var('x')
- return { 'ogf': [((x*((-89)-(3631*x)-(1898*x**2)))/(x-1)**3)] }
-
-
-
-def A157758():
- x = SR.var('x')
- return { 'ogf': [((x*(53000+(244754*x)))/(x-1)**2)] }
-
-
-
-def A157759():
- x = SR.var('x')
- return { 'ogf': [((x*((-500001)-(20398960*x)-(10662963*x**2)))/(x-1)**3)] }
-
-
-
-def A157760():
- x = SR.var('x')
- return { 'ogf': [((x*((-1898)-(3631*x)-(89*x**2)))/(x-1)**3)] }
-
-
-
-def A157761():
- x = SR.var('x')
- return { 'ogf': [((x*(244754+(53000*x)))/(x-1)**2)] }
-
-
-
-def A157765():
- x = SR.var('x')
- return { 'ogf': [((2-(2*x))/(1-(10*x)-(7*x**2)))] }
-
-
-
-def A157796():
- x = SR.var('x')
- return { 'ogf': [((x*((-16471)-(36635*x)-(1344*x**2)))/(x-1)**3)] }
-
-
-
-def A157797():
- x = SR.var('x')
- return { 'ogf': [((x*(6988080+(1996170*x)))/(x-1)**2)] }
-
-
-
-def A157798():
- x = SR.var('x')
- return { 'ogf': [((x*((-896845951)-(1994775748*x)-(73180801*x**2)))/(x-1)**3)] }
-
-
-
-def A157802():
- x = SR.var('x')
- return { 'ogf': [((x*((-91)-(30191*x)-(24168*x**2)))/(x-1)**3)] }
-
-
-
-def A157803():
- x = SR.var('x')
- return { 'ogf': [((330*x*((25651*x)+1574))/(x-1)**2)] }
-
-
-
-def A157804():
- x = SR.var('x')
- return { 'ogf': [((x*((-4954951)-(1643899948*x)-(1315947601*x**2)))/(x-1)**3)] }
-
-
-
-def A157810():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**3)+(3*x**2)+x+2))/((x-1)*(x+1)*(x**2+1))))] }
-
-
-
-def A157814():
- x = SR.var('x')
- return { 'ogf': [((x*(27223+(27227*x)))/(1-x)**3)] }
-
-
-
-def A157815():
- x = SR.var('x')
- return { 'ogf': [((x*(8983920+(330*x)))/(x-1)**2)] }
-
-
-
-def A157816():
- x = SR.var('x')
- return { 'ogf': [((x*((-1482292351)-(1482510148*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157820():
- x = SR.var('x')
- return { 'ogf': [((x*((-27227)-(27223*x)))/(x-1)**3)] }
-
-
-
-def A157821():
- x = SR.var('x')
- return { 'ogf': [((x*(8984580-(330*x)))/(1-x)**2)] }
-
-
-
-def A157822():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**2)-(1482292348*x)-1482510151))/(x-1)**3)] }
-
-
-
-def A157823():
- x = SR.var('x')
- return { 'ogf': [(-(((9*x)-5)/((2*x)-1)))] }
-
-
-
-def A157824():
- x = SR.var('x')
- return { 'ogf': [((x*((-14)-(4021*x)-(3165*x**2)))/(x-1)**3)] }
-
-
-
-def A157825():
- x = SR.var('x')
- return { 'ogf': [((x*(107760+(1620240*x)))/(x-1)**2)] }
-
-
-
-def A157826():
- x = SR.var('x')
- return { 'ogf': [((x*((-403201)-(115804798*x)-(91152001*x**2)))/(x-1)**3)] }
-
-
-
-def A157838():
- x = SR.var('x')
- return { 'ogf': [((x*((-92)-(4567*x)-(2541*x**2)))/(x-1)**3)] }
-
-
-
-def A157839():
- x = SR.var('x')
- return { 'ogf': [((x*(276240+(1451760*x)))/(x-1)**2)] }
-
-
-
-def A157840():
- x = SR.var('x')
- return { 'ogf': [((x*((-2649601)-(131529598*x)-(73180801*x**2)))/(x-1)**3)] }
-
-
-
-def A157842():
- x = SR.var('x')
- return { 'ogf': [((x*((-178)-(4845*x)-(2177*x**2)))/(x-1)**3)] }
-
-
-
-def A157843():
- x = SR.var('x')
- return { 'ogf': [((x*(384240+(1343760*x)))/(x-1)**2)] }
-
-
-
-def A157844():
- x = SR.var('x')
- return { 'ogf': [((x*((-5126401)-(139535998*x)-(62697601*x**2)))/(x-1)**3)] }
-
-
-
-def A157853():
- x = SR.var('x')
- return { 'ogf': [((x*((-2177)-(4845*x)-(178*x**2)))/(x-1)**3)] }
-
-
-
-def A157854():
- x = SR.var('x')
- return { 'ogf': [((x*(1343760+(384240*x)))/(x-1)**2)] }
-
-
-
-def A157855():
- x = SR.var('x')
- return { 'ogf': [((x*((-62697601)-(139535998*x)-(5126401*x**2)))/(x-1)**3)] }
-
-
-
-def A157857():
- x = SR.var('x')
- return { 'ogf': [((x*(3599+(3601*x)))/(1-x)**3)] }
-
-
-
-def A157858():
- x = SR.var('x')
- return { 'ogf': [((x*(1727760+(240*x)))/(1-x)**2)] }
-
-
-
-def A157859():
- x = SR.var('x')
- return { 'ogf': [((x*((-103651201)-(103708798*x)-x**2))/(x-1)**3)] }
-
-
-
-def A157861():
- x = SR.var('x')
- return { 'ogf': [((x*(3601+(3599*x)))/(1-x)**3)] }
-
-
-
-def A157862():
- x = SR.var('x')
- return { 'ogf': [((x*(1728240-(240*x)))/(1-x)**2)] }
-
-
-
-def A157863():
- x = SR.var('x')
- return { 'ogf': [((x*((-x**2)-(103651198*x)-103708801))/(x-1)**3)] }
-
-
-
-def A157870():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(12*x)+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A157872():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((2+(5*x))-x**2))/(x-1)**3))] }
-
-
-
-def A157874():
- x = SR.var('x')
- return { 'ogf': [((104*x**2)/((((-x**3)+(675*x**2))-(675*x))+1))] }
-
-
-
-def A157877():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*x)/((x**2-(30*x))+1))] }
-
-
-
-def A157878():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((x**2-(30*x))+1))] }
-
-
-
-def A157879():
- x = SR.var('x')
- return { 'ogf': [((120*x**2)/((((-x**3)+(899*x**2))-(899*x))+1))] }
-
-
-
-def A157880():
- x = SR.var('x')
- return { 'ogf': [((136*x**2)/((((-x**3)+(1155*x**2))-(1155*x))+1))] }
-
-
-
-def A157881():
- x = SR.var('x')
- return { 'ogf': [((152*x**2)/((((-x**3)+(1443*x**2))-(1443*x))+1))] }
-
-
-
-def A157909():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*((8+(11*x))-x**2))/(x-1)**3))] }
-
-
-
-def A157910():
- x = SR.var('x')
- return { 'ogf': [((x*(((-17)-(20*x))+x**2))/(x-1)**3)] }
-
-
-
-def A157912():
- x = SR.var('x')
- return { 'ogf': [((x*(80+(32*x)+(16*x**2)))/(1-x)**3)] }
-
-
-
-def A157913():
- x = SR.var('x')
- return { 'ogf': [(-((16*x*((3+(6*x))-x**2))/(x-1)**3))] }
-
-
-
-def A157918():
- x = SR.var('x')
- return { 'ogf': [(-((25*x*((24+(27*x))-x**2))/(x-1)**3))] }
-
-
-
-def A157919():
- x = SR.var('x')
- return { 'ogf': [(-((x*((49+(52*x))-x**2))/(x-1)**3))] }
-
-
-
-def A157921():
- x = SR.var('x')
- return { 'ogf': [((x*(x+71))/(x-1)**2)] }
-
-
-
-def A157923():
- x = SR.var('x')
- return { 'ogf': [((x*((-48)-(50*x)))/(x-1)**3)] }
-
-
-
-def A157924():
- x = SR.var('x')
- return { 'ogf': [((x*(x+97))/(x-1)**2)] }
-
-
-
-def A157947():
- x = SR.var('x')
- return { 'ogf': [((x*(99-x))/(1-x)**2)] }
-
-
-
-def A157948():
- x = SR.var('x')
- return { 'ogf': [((x*((-63)-(65*x)))/(x-1)**3)] }
-
-
-
-def A157949():
- x = SR.var('x')
- return { 'ogf': [((x*(127+x))/(1-x)**2)] }
-
-
-
-def A157951():
- x = SR.var('x')
- return { 'ogf': [((x*(129-x))/(1-x)**2)] }
-
-
-
-def A157952():
- x = SR.var('x')
- return { 'ogf': [((x*(163-x))/(1-x)**2)] }
-
-
-
-def A157953():
- x = SR.var('x')
- return { 'ogf': [((x*((-80)-(82*x)))/(x-1)**3)] }
-
-
-
-def A157954():
- x = SR.var('x')
- return { 'ogf': [((x*(161+x))/(1-x)**2)] }
-
-
-
-def A157955():
- x = SR.var('x')
- return { 'ogf': [((x*(199+x))/(1-x)**2)] }
-
-
-
-def A157956():
- x = SR.var('x')
- return { 'ogf': [((x*(201-x))/(1-x)**2)] }
-
-
-
-def A157958():
- x = SR.var('x')
- return { 'ogf': [((x*(243-x))/(1-x)**2)] }
-
-
-
-def A157960():
- x = SR.var('x')
- return { 'ogf': [((x*((-120)-(122*x)))/(x-1)**3)] }
-
-
-
-def A157961():
- x = SR.var('x')
- return { 'ogf': [((x*(x+241))/(x-1)**2)] }
-
-
-
-def A157990():
- x = SR.var('x')
- return { 'ogf': [((x*(289-x))/(1-x)**2)] }
-
-
-
-def A157997():
- x = SR.var('x')
- return { 'ogf': [((x*(287+x))/(1-x)**2)] }
-
-
-
-def A157998():
- x = SR.var('x')
- return { 'ogf': [((x*(168+(170*x)))/(1-x)**3)] }
-
-
-
-def A157999():
- x = SR.var('x')
- return { 'ogf': [((x*(337+x))/(1-x)**2)] }
-
-
-
-def A158000():
- x = SR.var('x')
- return { 'ogf': [((x*(339-x))/(1-x)**2)] }
-
-
-
-def A158003():
- x = SR.var('x')
- return { 'ogf': [((x*((-195)-(197*x)))/(x-1)**3)] }
-
-
-
-def A158004():
- x = SR.var('x')
- return { 'ogf': [((x*(x+391))/(x-1)**2)] }
-
-
-
-def A158010():
- x = SR.var('x')
- return { 'ogf': [((x*((-255)-(257*x)))/(x-1)**3)] }
-
-
-
-def A158011():
- x = SR.var('x')
- return { 'ogf': [((x*(x+511))/(x-1)**2)] }
-
-
-
-def A158040():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((((8*x**6)-(50*x**4))+(64*x**3))-(25*x**2))+1))/((x-1)**2*((2*x)-1)**2*(((2*x**2)-(5*x))+1)**2))] }
-
-
-
-def A158041():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((6*x**2)-1)*(((((((((((46656*x**12)-(828144*x**10))+(2517696*x**9))-(3533544*x**8))+(2852496*x**7))-(1444952*x**6))+(475416*x**5))-(98154*x**4))+(11656*x**3))-(639*x**2))+1))/((x-1)*((6*x)-1)*(((((6*x**4)-(22*x**3))+(23*x**2))-(10*x))+1)*(((((216*x**4)-(360*x**3))+(138*x**2))-(22*x))+1)*(((((((216*x**6)-(828*x**5))+(1284*x**4))-(808*x**3))+(214*x**2))-(23*x))+1))))] }
-
-
-
-def A158045():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((2*x**2)-1)*(((4*x**4)-(11*x**2))+1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)*(((2*x**2)-(5*x))+1)*((2*x**2)+(5*x)+1))))] }
-
-
-
-def A158046():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((6*x**2)-1)*(((((((46656*x**12)-(190512*x**10))+(60480*x**9)+(243432*x**8))-(21168*x**7)-(100984*x**6)-(3528*x**5))+(6762*x**4)+(280*x**3))-(147*x**2))+1))/((x-1)*((6*x)-1)*((6*x**4)+(22*x**3)+(23*x**2)+(10*x)+1)*((216*x**4)+(360*x**3)+(138*x**2)+(22*x)+1)*(((((((216*x**6)-(828*x**5))+(1284*x**4))-(808*x**3))+(214*x**2))-(23*x))+1))))] }
-
-
-
-def A158056():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-9)-(7*x)))/(x-1)**3)] }
-
-
-
-def A158057():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x))/(1-x)**2)] }
-
-
-
-def A158058():
- x = SR.var('x')
- return { 'ogf': [((x*((-14)-(18*x)))/(x-1)**3)] }
-
-
-
-def A158060():
- x = SR.var('x')
- return { 'ogf': [((x*(26-x))/(x-1)**2)] }
-
-
-
-def A158062():
- x = SR.var('x')
- return { 'ogf': [((x*((-34)-(38*x)))/(x-1)**3)] }
-
-
-
-def A158064():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-19)-(17*x)))/(x-1)**3)] }
-
-
-
-def A158065():
- x = SR.var('x')
- return { 'ogf': [((x*(37-x))/(1-x)**2)] }
-
-
-
-def A158066():
- x = SR.var('x')
- return { 'ogf': [((x*(50-x))/(1-x)**2)] }
-
-
-
-def A158067():
- x = SR.var('x')
- return { 'ogf': [((x*((-62)-(66*x)))/(x-1)**3)] }
-
-
-
-def A158068():
- x = SR.var('x')
- return { 'ogf': [((1+x+(5*x**4)+x**2)/((1-x)*((1-x)+x**2)*(1+x+x**2)))] }
-
-
-
-def A158070():
- x = SR.var('x')
- return { 'ogf': [((x*(66+(62*x)))/(1-x)**3)] }
-
-
-
-def A158071():
- x = SR.var('x')
- return { 'ogf': [((x*(65-x))/(1-x)**2)] }
-
-
-
-def A158078():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**7*((((((((((((((((1-(7*x))+(28*x**2))-(84*x**3))+(210*x**4))-(462*x**5))+(924*x**6))-(1463*x**7))+(1738*x**8))-(1463*x**9))+(924*x**10))-(462*x**11))+(210*x**12))-(84*x**13))+(28*x**14))-(7*x**15))+x**16))),
-(1/(1+(253*x**7)+(506*x**8)+(1288*x**11)+(1288*x**12)+(506*x**15)+(253*x**16)+x**23))] }
-
-
-
-def A158083():
- x = SR.var('x')
- return { 'ogf': [(-(((((-2)+x)-x**2-x**3-(2*x**4)-(12*x**5))+(8*x**6))/((-1)+x)**2))] }
-
-
-
-def A158090():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(2+(2*x**2)+x**5+x**6))/((x-1)*(1+x+x**2)*(x**6+x**3+1))))] }
-
-
-
-def A158121():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((6+(51*x)+(66*x**2))-(13*x**3))+(15*x**4))-(6*x**5))+x**6))/(1-x)**7)] }
-
-
-
-def A158123():
- x = SR.var('x')
- return { 'ogf': [((x*(82-x))/(1-x)**2)] }
-
-
-
-def A158127():
- x = SR.var('x')
- return { 'ogf': [((x*(102+(98*x)))/(1-x)**3)] }
-
-
-
-def A158128():
- x = SR.var('x')
- return { 'ogf': [((x*(101-x))/(1-x)**2)] }
-
-
-
-def A158129():
- x = SR.var('x')
- return { 'ogf': [((x*(98+(102*x)))/(1-x)**3)] }
-
-
-
-def A158130():
- x = SR.var('x')
- return { 'ogf': [((x*(120+x))/(x-1)**2)] }
-
-
-
-def A158131():
- x = SR.var('x')
- return { 'ogf': [((x*(122-x))/(1-x)**2)] }
-
-
-
-def A158132():
- x = SR.var('x')
- return { 'ogf': [((x*((-(142*x))-146))/(x-1)**3)] }
-
-
-
-def A158133():
- x = SR.var('x')
- return { 'ogf': [((x*(145-x))/(1-x)**2)] }
-
-
-
-def A158135():
- x = SR.var('x')
- return { 'ogf': [((x*((-142)-(146*x)))/(x-1)**3)] }
-
-
-
-def A158136():
- x = SR.var('x')
- return { 'ogf': [((x*(143+x))/(1-x)**2)] }
-
-
-
-def A158137():
- x = SR.var('x')
- return { 'ogf': [(((-2)+(2*x)+(4*x**3)+x**6+(2*x**4)+(2*x**7))/((1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A158186():
- x = SR.var('x')
- return { 'ogf': [((1+x+(18*x**2))/(1-x)**3)] }
-
-
-
-def A158218():
- x = SR.var('x')
- return { 'ogf': [((x*((-167)-(171*x)))/(x-1)**3)] }
-
-
-
-def A158219():
- x = SR.var('x')
- return { 'ogf': [((x*(168+x))/(1-x)**2)] }
-
-
-
-def A158220():
- x = SR.var('x')
- return { 'ogf': [((x*((-171)-(167*x)))/((-1)+x)**3)] }
-
-
-
-def A158221():
- x = SR.var('x')
- return { 'ogf': [((x*(170-x))/(1-x)**2)] }
-
-
-
-def A158222():
- x = SR.var('x')
- return { 'ogf': [((x*((-(194*x))-198))/(x-1)**3)] }
-
-
-
-def A158223():
- x = SR.var('x')
- return { 'ogf': [((x*(197-x))/(1-x)**2)] }
-
-
-
-def A158224():
- x = SR.var('x')
- return { 'ogf': [((x*((-194)-(198*x)))/(x-1)**3)] }
-
-
-
-def A158225():
- x = SR.var('x')
- return { 'ogf': [((x*(195+x))/(1-x)**2)] }
-
-
-
-def A158226():
- x = SR.var('x')
- return { 'ogf': [((x*((-223)-(227*x)))/(x-1)**3)] }
-
-
-
-def A158227():
- x = SR.var('x')
- return { 'ogf': [((x*(224+x))/(1-x)**2)] }
-
-
-
-def A158228():
- x = SR.var('x')
- return { 'ogf': [((x*((-(223*x))-227))/(x-1)**3)] }
-
-
-
-def A158229():
- x = SR.var('x')
- return { 'ogf': [((x*(226-x))/(1-x)**2)] }
-
-
-
-def A158230():
- x = SR.var('x')
- return { 'ogf': [((x*((-(254*x))-258))/(x-1)**3)] }
-
-
-
-def A158231():
- x = SR.var('x')
- return { 'ogf': [((x*(257-x))/(x-1)**2)] }
-
-
-
-def A158249():
- x = SR.var('x')
- return { 'ogf': [((x*((-254)-(258*x)))/(x-1)**3)] }
-
-
-
-def A158250():
- x = SR.var('x')
- return { 'ogf': [((x*(255+x))/(1-x)**2)] }
-
-
-
-def A158252():
- x = SR.var('x')
- return { 'ogf': [((x*((-287)-(291*x)))/(x-1)**3)] }
-
-
-
-def A158253():
- x = SR.var('x')
- return { 'ogf': [((x*(288+x))/(1-x)**2)] }
-
-
-
-def A158254():
- x = SR.var('x')
- return { 'ogf': [((x*(291+(287*x)))/(1-x)**3)] }
-
-
-
-def A158255():
- x = SR.var('x')
- return { 'ogf': [((x*(290-x))/(1-x)**2)] }
-
-
-
-def A158271():
- x = SR.var('x')
- return { 'ogf': [((x*((-(322*x))-326))/(x-1)**3)] }
-
-
-
-def A158272():
- x = SR.var('x')
- return { 'ogf': [((x*(325-x))/(1-x)**2)] }
-
-
-
-def A158289():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2)*(1+x**3+x**6))/((1-x)*(1+x)*((1-x)+x**2)*((1-x**3)+x**6)))] }
-
-
-
-def A158302():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(2*x**2))/(1-(4*x**2)))] }
-
-
-
-def A158305():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((163*x)+161))/(x-1)**3))] }
-
-
-
-def A158306():
- x = SR.var('x')
- return { 'ogf': [((x*(323+x))/(1-x)**2)] }
-
-
-
-def A158307():
- x = SR.var('x')
- return { 'ogf': [((x*((-359)-(363*x)))/(x-1)**3)] }
-
-
-
-def A158308():
- x = SR.var('x')
- return { 'ogf': [((x*(360+x))/(1-x)**2)] }
-
-
-
-def A158309():
- x = SR.var('x')
- return { 'ogf': [((x*(363+(359*x)))/(1-x)**3)] }
-
-
-
-def A158310():
- x = SR.var('x')
- return { 'ogf': [((x*(362-x))/(1-x)**2)] }
-
-
-
-def A158312():
- x = SR.var('x')
- return { 'ogf': [((x*(402+(398*x)))/(1-x)**3)] }
-
-
-
-def A158313():
- x = SR.var('x')
- return { 'ogf': [((x*(401-x))/(1-x)**2)] }
-
-
-
-def A158316():
- x = SR.var('x')
- return { 'ogf': [((x*((-398)-(402*x)))/(x-1)**3)] }
-
-
-
-def A158317():
- x = SR.var('x')
- return { 'ogf': [((x*(399+x))/(1-x)**2)] }
-
-
-
-def A158319():
- x = SR.var('x')
- return { 'ogf': [((x*(440+x))/(1-x)**2)] }
-
-
-
-def A158321():
- x = SR.var('x')
- return { 'ogf': [((x*(443+(439*x)))/(1-x)**3)] }
-
-
-
-def A158322():
- x = SR.var('x')
- return { 'ogf': [((x*(442-x))/(1-x)**2)] }
-
-
-
-def A158325():
- x = SR.var('x')
- return { 'ogf': [((x*(486+(482*x)))/(1-x)**3)] }
-
-
-
-def A158326():
- x = SR.var('x')
- return { 'ogf': [((x*(485-x))/(1-x)**2)] }
-
-
-
-def A158329():
- x = SR.var('x')
- return { 'ogf': [((x*((-482)-(486*x)))/(x-1)**3)] }
-
-
-
-def A158330():
- x = SR.var('x')
- return { 'ogf': [((x*(483+x))/(1-x)**2)] }
-
-
-
-def A158364():
- x = SR.var('x')
- return { 'ogf': [((x*((-527)-(531*x)))/(x-1)**3)] }
-
-
-
-def A158365():
- x = SR.var('x')
- return { 'ogf': [((x*(528+x))/(1-x)**2)] }
-
-
-
-def A158367():
- x = SR.var('x')
- return { 'ogf': [((x*(531+(527*x)))/(1-x)**3)] }
-
-
-
-def A158368():
- x = SR.var('x')
- return { 'ogf': [((x*(530-x))/(1-x)**2)] }
-
-
-
-def A158369():
- x = SR.var('x')
- return { 'ogf': [((x*(578+(574*x)))/(1-x)**3)] }
-
-
-
-def A158370():
- x = SR.var('x')
- return { 'ogf': [((x*(577-x))/(1-x)**2)] }
-
-
-
-def A158371():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((289*x)+287))/(x-1)**3))] }
-
-
-
-def A158372():
- x = SR.var('x')
- return { 'ogf': [((x*(575+x))/(1-x)**2)] }
-
-
-
-def A158373():
- x = SR.var('x')
- return { 'ogf': [((x*((-623)-(627*x)))/(x-1)**3)] }
-
-
-
-def A158374():
- x = SR.var('x')
- return { 'ogf': [((x*(624+x))/(1-x)**2)] }
-
-
-
-def A158383():
- x = SR.var('x')
- return { 'ogf': [((x*(626-x))/(1-x)**2)] }
-
-
-
-def A158385():
- x = SR.var('x')
- return { 'ogf': [((x*(678+(674*x)))/(1-x)**3)] }
-
-
-
-def A158386():
- x = SR.var('x')
- return { 'ogf': [((x*(677-x))/(1-x)**2)] }
-
-
-
-def A158388():
- x = SR.var('x')
- return { 'ogf': [(((2*x)-1)/(1-x))] }
-
-
-
-def A158392():
- x = SR.var('x')
- return { 'ogf': [((x*((-674)-(678*x)))/(x-1)**3)] }
-
-
-
-def A158393():
- x = SR.var('x')
- return { 'ogf': [((x*(675+x))/(1-x)**2)] }
-
-
-
-def A158394():
- x = SR.var('x')
- return { 'ogf': [((x*((-727)-(731*x)))/(x-1)**3)] }
-
-
-
-def A158395():
- x = SR.var('x')
- return { 'ogf': [((x*(728+x))/(1-x)**2)] }
-
-
-
-def A158396():
- x = SR.var('x')
- return { 'ogf': [((x*(731+(727*x)))/(1-x)**3)] }
-
-
-
-def A158397():
- x = SR.var('x')
- return { 'ogf': [((x*(730-x))/(1-x)**2)] }
-
-
-
-def A158398():
- x = SR.var('x')
- return { 'ogf': [((x*((-782)-(786*x)))/(x-1)**3)] }
-
-
-
-def A158399():
- x = SR.var('x')
- return { 'ogf': [((x*(783+x))/(1-x)**2)] }
-
-
-
-def A158401():
- x = SR.var('x')
- return { 'ogf': [((x*((-839)-(843*x)))/(x-1)**3)] }
-
-
-
-def A158402():
- x = SR.var('x')
- return { 'ogf': [((x*(840+x))/(1-x)**2)] }
-
-
-
-def A158403():
- x = SR.var('x')
- return { 'ogf': [((x*(843+(839*x)))/(1-x)**3)] }
-
-
-
-def A158404():
- x = SR.var('x')
- return { 'ogf': [((x*(842-x))/(1-x)**2)] }
-
-
-
-def A158406():
- x = SR.var('x')
- return { 'ogf': [((x*((-902)-(898*x)))/(x-1)**3)] }
-
-
-
-def A158407():
- x = SR.var('x')
- return { 'ogf': [((x*(901-x))/(1-x)**2)] }
-
-
-
-def A158408():
- x = SR.var('x')
- return { 'ogf': [((2*x*(449+(451*x)))/(1-x)**3)] }
-
-
-
-def A158409():
- x = SR.var('x')
- return { 'ogf': [((x*(899+x))/(x-1)**2)] }
-
-
-
-def A158410():
- x = SR.var('x')
- return { 'ogf': [((x*((-959)-(963*x)))/(x-1)**3)] }
-
-
-
-def A158411():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3))/(1-x)),
-((x*(1-x**4))/(1-x)**2)] }
-
-
-
-def A158412():
- x = SR.var('x')
- return { 'ogf': [((x*(960+x))/(1-x)**2)] }
-
-
-
-def A158413():
- x = SR.var('x')
- return { 'ogf': [((x*(963+(959*x)))/(1-x)**3)] }
-
-
-
-def A158414():
- x = SR.var('x')
- return { 'ogf': [((x*(962-x))/(1-x)**2)] }
-
-
-
-def A158420():
- x = SR.var('x')
- return { 'ogf': [((x*((-1022)-(1026*x)))/(x-1)**3)] }
-
-
-
-def A158421():
- x = SR.var('x')
- return { 'ogf': [((x*(1023+x))/(1-x)**2)] }
-
-
-
-def A158444():
- x = SR.var('x')
- return { 'ogf': [((4*x*(5+(2*x)+x**2))/(1-x)**3)] }
-
-
-
-def A158450():
- x = SR.var('x')
- return { 'ogf': [((((((28*x**4)-(154*x**3))+(134*x**2))-(29*x))+1)/(((((32*x**4)-(176*x**3))+(154*x**2))-(33*x))+1))] }
-
-
-
-def A158453():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)-x**2-x)/((((54*x**3)-(73*x**2)-1)+(22*x))-(8*x**4)))] }
-
-
-
-def A158459():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(2*x)+3))/(1-x**4))] }
-
-
-
-def A158462():
- x = SR.var('x')
- return { 'ogf': [((6*x*((5+(8*x))-x**2))/(1-x)**3)] }
-
-
-
-def A158463():
- x = SR.var('x')
- return { 'ogf': [((1-(14*x)-(11*x**2))/(x-1)**3)] }
-
-
-
-def A158478():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/(1-x**2))] }
-
-
-
-def A158487():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*((7+(10*x))-x**2))/(x-1)**3))] }
-
-
-
-def A158492():
- x = SR.var('x')
- return { 'ogf': [(-((10+(80*x)+(110*x**2))/(x-1)**3))] }
-
-
-
-def A158493():
- x = SR.var('x')
- return { 'ogf': [(-((1+(18*x)+(21*x**2))/(x-1)**3))] }
-
-
-
-def A158494():
- x = SR.var('x')
- return { 'ogf': [((4*x*((1-(5*x**2))+(2*x**3)+(4*x**4)))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A158498():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+x**2+(3*x**3)))/(1-x)**4)] }
-
-
-
-def A158501():
- x = SR.var('x')
- return { 'ogf': [((((1+x+(22*x**2))-(2*x**3))+(9*x**4)+x**5)/((1-x)**3*(1+x)**4))] }
-
-
-
-def A158525():
- x = SR.var('x')
- return { 'ogf': [((((38-(56*x))+(20*x**2))*x**4)/(((6*x**2)+1)-(5*x)-(2*x**3)))] }
-
-
-
-def A158536():
- x = SR.var('x')
- return { 'ogf': [((11*(1+(9*x)+(12*x**2)))/(1-x)**3)] }
-
-
-
-def A158537():
- x = SR.var('x')
- return { 'ogf': [((1+(20*x)+(23*x**2))/(1-x)**3)] }
-
-
-
-def A158539():
- x = SR.var('x')
- return { 'ogf': [((11*x*(((-10)-(13*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158540():
- x = SR.var('x')
- return { 'ogf': [((x*(((-21)-(24*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158543():
- x = SR.var('x')
- return { 'ogf': [(-((x*((132+(168*x))-(12*x**2)))/(x-1)**3))] }
-
-
-
-def A158544():
- x = SR.var('x')
- return { 'ogf': [(-((x*((23+(26*x))-x**2))/(x-1)**3))] }
-
-
-
-def A158546():
- x = SR.var('x')
- return { 'ogf': [((12*(1+(10*x)+(13*x**2)))/(1-x)**3)] }
-
-
-
-def A158547():
- x = SR.var('x')
- return { 'ogf': [((1+(22*x)+(25*x**2))/(1-x)**3)] }
-
-
-
-def A158549():
- x = SR.var('x')
- return { 'ogf': [((1+(24*x)+(27*x**2))/(1-x)**3)] }
-
-
-
-def A158550():
- x = SR.var('x')
- return { 'ogf': [((13*x*(((-12)-(15*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158551():
- x = SR.var('x')
- return { 'ogf': [((x*(((-25)-(28*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158552():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(4*x)+x**2))/((1-x)*(1+x)**2))] }
-
-
-
-def A158553():
- x = SR.var('x')
- return { 'ogf': [((14*x*((13+(16*x))-x**2))/(1-x)**3)] }
-
-
-
-def A158554():
- x = SR.var('x')
- return { 'ogf': [((x*(((-27)-(30*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158555():
- x = SR.var('x')
- return { 'ogf': [((14*(1+(12*x)+(15*x**2)))/(1-x)**3)] }
-
-
-
-def A158556():
- x = SR.var('x')
- return { 'ogf': [((1+(26*x)+(29*x**2))/(1-x)**3)] }
-
-
-
-def A158557():
- x = SR.var('x')
- return { 'ogf': [((15*(1+(13*x)+(16*x**2)))/(1-x)**3)] }
-
-
-
-def A158558():
- x = SR.var('x')
- return { 'ogf': [((1+(28*x)+(31*x**2))/(1-x)**3)] }
-
-
-
-def A158559():
- x = SR.var('x')
- return { 'ogf': [((15*x*(((-14)-(17*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158560():
- x = SR.var('x')
- return { 'ogf': [((x*(((-29)-(32*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158562():
- x = SR.var('x')
- return { 'ogf': [((16*x*(((-15)-(18*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158563():
- x = SR.var('x')
- return { 'ogf': [((x*(((-31)-(34*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158570():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)+(4*x**2)+x**3+x**4+(2*x**5)+(5*x**6)+x**7))/((x-1)*(1+x)*(x**2+1)*(x**4+1))))] }
-
-
-
-def A158574():
- x = SR.var('x')
- return { 'ogf': [((16*(1+(14*x)+(17*x**2)))/(1-x)**3)] }
-
-
-
-def A158575():
- x = SR.var('x')
- return { 'ogf': [((1+(30*x)+(33*x**2))/(1-x)**3)] }
-
-
-
-def A158585():
- x = SR.var('x')
- return { 'ogf': [((17*(1+(15*x)+(18*x**2)))/(1-x)**3)] }
-
-
-
-def A158586():
- x = SR.var('x')
- return { 'ogf': [((1+(32*x)+(35*x**2))/(1-x)**3)] }
-
-
-
-def A158587():
- x = SR.var('x')
- return { 'ogf': [((17*x*(((-16)-(19*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158588():
- x = SR.var('x')
- return { 'ogf': [((x*(((-33)-(36*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158589():
- x = SR.var('x')
- return { 'ogf': [(-((18*x*((17+(20*x))-x**2))/(x-1)**3))] }
-
-
-
-def A158590():
- x = SR.var('x')
- return { 'ogf': [(-((18*(1+(16*x)+(19*x**2)))/(x-1)**3))] }
-
-
-
-def A158591():
- x = SR.var('x')
- return { 'ogf': [(-((1+(34*x)+(37*x**2))/(x-1)**3))] }
-
-
-
-def A158592():
- x = SR.var('x')
- return { 'ogf': [(-((19*(1+(17*x)+(20*x**2)))/(x-1)**3))] }
-
-
-
-def A158593():
- x = SR.var('x')
- return { 'ogf': [(-((1+(36*x)+(39*x**2))/(x-1)**3))] }
-
-
-
-def A158595():
- x = SR.var('x')
- return { 'ogf': [((19*x*(((-18)-(21*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158596():
- x = SR.var('x')
- return { 'ogf': [((x*(((-37)-(40*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158597():
- x = SR.var('x')
- return { 'ogf': [((20*x*(((-19)-(22*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158598():
- x = SR.var('x')
- return { 'ogf': [((x*(((-39)-(42*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158601():
- x = SR.var('x')
- return { 'ogf': [(-((20*(1+(18*x)+(21*x**2)))/(x-1)**3))] }
-
-
-
-def A158602():
- x = SR.var('x')
- return { 'ogf': [(-((1+(38*x)+(41*x**2))/(x-1)**3))] }
-
-
-
-def A158603():
- x = SR.var('x')
- return { 'ogf': [(-((21*(1+(19*x)+(22*x**2)))/(x-1)**3))] }
-
-
-
-def A158604():
- x = SR.var('x')
- return { 'ogf': [(-((1+(40*x)+(43*x**2))/(x-1)**3))] }
-
-
-
-def A158607():
- x = SR.var('x')
- return { 'ogf': [(-((x*(9+(11*x)+(13*x**2)+(5*x**3)+(7*x**4)))/((x-1)*(1+x+x**2+x**3+x**4))))] }
-
-
-
-def A158608():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-x-(16*x**2)))] }
-
-
-
-def A158610():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x))/(1-x-(256*x**2)))] }
-
-
-
-def A158622():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((x**8+x**7+x**6)-(2*x**5))+(4*x**4)+(10*x**3)+(7*x**2)+(13*x)+7))/((x-1)**3*(x**2+x+1)**3)))] }
-
-
-
-def A158623():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**8-(2*x**5))+(9*x**4)+(18*x**3)+(10*x**2)+(18*x)+9))/((x-1)**3*(x**2+x+1)**3)))] }
-
-
-
-def A158626():
- x = SR.var('x')
- return { 'ogf': [((x*(((-41)-(44*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158627():
- x = SR.var('x')
- return { 'ogf': [((22*x*(((-21)-(24*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158628():
- x = SR.var('x')
- return { 'ogf': [((x*(((-43)-(46*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158629():
- x = SR.var('x')
- return { 'ogf': [(-((22*(1+(20*x)+(23*x**2)))/(x-1)**3))] }
-
-
-
-def A158630():
- x = SR.var('x')
- return { 'ogf': [(-((1+(42*x)+(45*x**2))/(x-1)**3))] }
-
-
-
-def A158631():
- x = SR.var('x')
- return { 'ogf': [(-((23*(1+(21*x)+(24*x**2)))/(x-1)**3))] }
-
-
-
-def A158632():
- x = SR.var('x')
- return { 'ogf': [(-((1+(44*x)+(47*x**2))/(x-1)**3))] }
-
-
-
-def A158633():
- x = SR.var('x')
- return { 'ogf': [((23*x*(((-22)-(25*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158634():
- x = SR.var('x')
- return { 'ogf': [((x*(((-45)-(48*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158636():
- x = SR.var('x')
- return { 'ogf': [((24*x*(((-23)-(26*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158637():
- x = SR.var('x')
- return { 'ogf': [(-((24*(1+(22*x)+(25*x**2)))/(x-1)**3))] }
-
-
-
-def A158638():
- x = SR.var('x')
- return { 'ogf': [(-((1+(46*x)+(49*x**2))/(x-1)**3))] }
-
-
-
-def A158639():
- x = SR.var('x')
- return { 'ogf': [((26*x*(((-25)-(28*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158640():
- x = SR.var('x')
- return { 'ogf': [((x*(((-51)-(54*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158643():
- x = SR.var('x')
- return { 'ogf': [(-((26*(1+(24*x)+(27*x**2)))/(x-1)**3))] }
-
-
-
-def A158644():
- x = SR.var('x')
- return { 'ogf': [(-((1+(50*x)+(53*x**2))/(x-1)**3))] }
-
-
-
-def A158645():
- x = SR.var('x')
- return { 'ogf': [(-((27*(1+(25*x)+(28*x**2)))/(x-1)**3))] }
-
-
-
-def A158646():
- x = SR.var('x')
- return { 'ogf': [(-((1+(52*x)+(55*x**2))/(x-1)**3))] }
-
-
-
-def A158655():
- x = SR.var('x')
- return { 'ogf': [((27*x*(((-26)-(29*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158656():
- x = SR.var('x')
- return { 'ogf': [((x*(((-53)-(56*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158657():
- x = SR.var('x')
- return { 'ogf': [((28*x*(((-27)-(30*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158658():
- x = SR.var('x')
- return { 'ogf': [((x*(((-55)-(58*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158659():
- x = SR.var('x')
- return { 'ogf': [(-((28*(1+(26*x)+(29*x**2)))/(x-1)**3))] }
-
-
-
-def A158660():
- x = SR.var('x')
- return { 'ogf': [(-((1+(54*x)+(57*x**2))/(x-1)**3))] }
-
-
-
-def A158665():
- x = SR.var('x')
- return { 'ogf': [(-((29*(1+(27*x)+(30*x**2)))/(x-1)**3))] }
-
-
-
-def A158666():
- x = SR.var('x')
- return { 'ogf': [(-((1+(56*x)+(59*x**2))/(x-1)**3))] }
-
-
-
-def A158667():
- x = SR.var('x')
- return { 'ogf': [((29*x*(((-28)-(31*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158668():
- x = SR.var('x')
- return { 'ogf': [((x*(((-57)-(60*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158669():
- x = SR.var('x')
- return { 'ogf': [((30*x*(((-29)-(32*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158670():
- x = SR.var('x')
- return { 'ogf': [((x*(((-59)-(62*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158672():
- x = SR.var('x')
- return { 'ogf': [(-((30*(1+(28*x)+(31*x**2)))/(x-1)**3))] }
-
-
-
-def A158673():
- x = SR.var('x')
- return { 'ogf': [((1+(58*x)+(61*x**2))/(1-x)**3)] }
-
-
-
-def A158674():
- x = SR.var('x')
- return { 'ogf': [(-((3+(4*x)+(8*x**3)+(6*x**4)+(3*x**5)+(3*x**6)+(7*x**7)+(2*x**9)+(6*x**10)+(6*x**11)+(3*x**12)+x**13+(5*x**15)+(6*x**16))/((x-1)*(1+x+x**2)*(1+x**3+x**6)*(1+x)*((1-x)+x**2)*((1-x**3)+x**6))))] }
-
-
-
-def A158675():
- x = SR.var('x')
- return { 'ogf': [(-((31*(1+(29*x)+(32*x**2)))/(x-1)**3))] }
-
-
-
-def A158676():
- x = SR.var('x')
- return { 'ogf': [(-((1+(60*x)+(63*x**2))/(x-1)**3))] }
-
-
-
-def A158677():
- x = SR.var('x')
- return { 'ogf': [(-((x*(3+(4*x)+(5*x**3)+(6*x**4)+(3*x**5)))/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1))))] }
-
-
-
-def A158678():
- x = SR.var('x')
- return { 'ogf': [((3*(1+x+x**2)*((x**2-x)+1)*((x**4-x**2)+1)*x**4)/(((x**6-x**3)+1)*(x**6+x**3+1)))] }
-
-
-
-def A158679():
- x = SR.var('x')
- return { 'ogf': [((31*x*(((-30)-(33*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158680():
- x = SR.var('x')
- return { 'ogf': [((x*(((-61)-(64*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158681():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(((4*x)-1)**2*((2*x)-1)**2))] }
-
-
-
-def A158683():
- x = SR.var('x')
- return { 'ogf': [((32*x*(((-31)-(34*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158684():
- x = SR.var('x')
- return { 'ogf': [((x*(((-63)-(66*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158685():
- x = SR.var('x')
- return { 'ogf': [(-((32*(1+(30*x)+(33*x**2)))/(x-1)**3))] }
-
-
-
-def A158686():
- x = SR.var('x')
- return { 'ogf': [(-((1+(62*x)+(65*x**2))/(x-1)**3))] }
-
-
-
-def A158688():
- x = SR.var('x')
- return { 'ogf': [(-((33*(1+(31*x)+(34*x**2)))/(x-1)**3))] }
-
-
-
-def A158689():
- x = SR.var('x')
- return { 'ogf': [(-((1+(64*x)+(67*x**2))/(x-1)**3))] }
-
-
-
-def A158692():
- x = SR.var('x')
- return { 'ogf': [((33*x*(((-32)-(35*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158693():
- x = SR.var('x')
- return { 'ogf': [((x*(((-65)-(68*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158729():
- x = SR.var('x')
- return { 'ogf': [((34*x*(((-33)-(36*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158730():
- x = SR.var('x')
- return { 'ogf': [((x*(((-67)-(70*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158731():
- x = SR.var('x')
- return { 'ogf': [(-((34*(1+(32*x)+(35*x**2)))/(x-1)**3))] }
-
-
-
-def A158732():
- x = SR.var('x')
- return { 'ogf': [(-((1+(66*x)+(69*x**2))/(x-1)**3))] }
-
-
-
-def A158733():
- x = SR.var('x')
- return { 'ogf': [(-((35*(1+(33*x)+(36*x**2)))/(x-1)**3))] }
-
-
-
-def A158734():
- x = SR.var('x')
- return { 'ogf': [(-((1+(68*x)+(71*x**2))/(x-1)**3))] }
-
-
-
-def A158735():
- x = SR.var('x')
- return { 'ogf': [((35*x*(((-34)-(37*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158736():
- x = SR.var('x')
- return { 'ogf': [((x*(((-69)-(72*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158737():
- x = SR.var('x')
- return { 'ogf': [((36*x*(((-35)-(38*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158738():
- x = SR.var('x')
- return { 'ogf': [((x*(((-71)-(74*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158739():
- x = SR.var('x')
- return { 'ogf': [(-((36*(1+(34*x)+(37*x**2)))/(x-1)**3))] }
-
-
-
-def A158740():
- x = SR.var('x')
- return { 'ogf': [(-((1+(70*x)+(73*x**2))/(x-1)**3))] }
-
-
-
-def A158741():
- x = SR.var('x')
- return { 'ogf': [(-((37*(1+(35*x)+(38*x**2)))/(x-1)**3))] }
-
-
-
-def A158742():
- x = SR.var('x')
- return { 'ogf': [(-((1+(72*x)+(75*x**2))/(x-1)**3))] }
-
-
-
-def A158743():
- x = SR.var('x')
- return { 'ogf': [((37*x*(((-36)-(39*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158744():
- x = SR.var('x')
- return { 'ogf': [((x*(((-73)-(76*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158745():
- x = SR.var('x')
- return { 'ogf': [(-((((1+(2*x)+(3*x**2))-x**4-(5*x**5))+(2*x**6)+(4*x**8))/(((2*x**3)-1)*((x**6-x**3)+1))))] }
-
-
-
-def A158761():
- x = SR.var('x')
- return { 'ogf': [(-((1+(4*x)+(15*x**2))/((-1)+x**2+(64*x**3))))] }
-
-
-
-def A158764():
- x = SR.var('x')
- return { 'ogf': [((38*x*(((-37)-(40*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158765():
- x = SR.var('x')
- return { 'ogf': [((x*(((-75)-(78*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158766():
- x = SR.var('x')
- return { 'ogf': [(-((38*(1+(36*x)+(39*x**2)))/(x-1)**3))] }
-
-
-
-def A158767():
- x = SR.var('x')
- return { 'ogf': [(-((1+(74*x)+(77*x**2))/(x-1)**3))] }
-
-
-
-def A158768():
- x = SR.var('x')
- return { 'ogf': [(-((39*(1+(37*x)+(40*x**2)))/(x-1)**3))] }
-
-
-
-def A158769():
- x = SR.var('x')
- return { 'ogf': [(-((1+(76*x)+(79*x**2))/(x-1)**3))] }
-
-
-
-def A158770():
- x = SR.var('x')
- return { 'ogf': [((39*x*(((-38)-(41*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158771():
- x = SR.var('x')
- return { 'ogf': [((x*(((-77)-(80*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158773():
- x = SR.var('x')
- return { 'ogf': [((40*x*(((-39)-(42*x))+x**2))/(x-1)**3)] }
-
-
-
-def A158776():
- x = SR.var('x')
- return { 'ogf': [(-((1+(78*x)+(81*x**2))/(x-1)**3))] }
-
-
-
-def A158778():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(12*x**2)+(48*x**3))/(1-x-(256*x**4)))] }
-
-
-
-def A158780():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2))/(1-(2*x**2)))] }
-
-
-
-def A158797():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-x-(36*x**2)))] }
-
-
-
-def A158798():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-x-(64*x**2)))] }
-
-
-
-def A158799():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-x))] }
-
-
-
-def A158803():
- x = SR.var('x')
- return { 'ogf': [((x*(17+(7*x)+(17*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A158842():
- x = SR.var('x')
- return { 'ogf': [(1-((x*(((-1)-(3*x**2))+x**3))/(x-1)**4))] }
-
-
-
-def A158869():
- x = SR.var('x')
- return { 'ogf': [(-(((-1)+x)/((1-(6*x))+(3*x**2))))] }
-
-
-
-def A158874():
- x = SR.var('x')
- return { 'ogf': [((24*x)/(x-1)**6)] }
-
-
-
-def A158920():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)**4)/(1-(2*x))**3)] }
-
-
-
-def A158926():
- x = SR.var('x')
- return { 'ogf': [(-((9*x**3)/(((2*x)+1)*(1+x+x**2))))] }
-
-
-
-def A158927():
- x = SR.var('x')
- return { 'ogf': [((2+(8*x)+(14*x**2)+(9*x**3))/(((2*x)+1)*(1+x+x**2)))] }
-
-
-
-def A158935():
- x = SR.var('x')
- return { 'ogf': [((4+(16*x)+(19*x**2)+(9*x**3))/(((2*x)+1)*(1+x+x**2)))] }
-
-
-
-def A158943():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-(2*x**2))+x**4))] }
-
-
-
-def A159007():
- x = SR.var('x')
- return { 'ogf': [((x*(32+(9*x)+(32*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A159008():
- x = SR.var('x')
- return { 'ogf': [((x*(25+(39*x)+(25*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A159083():
- x = SR.var('x')
- return { 'ogf': [((5040*x**8)/(1-x)**8)] }
-
-
-
-def A159225():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-7)-(12*x**4))+(20*x**3)+(13*x**2))-(17*x)))/((x-1)*((2*x)+1)*((2*x)-1)*((2*x**2)-1)))] }
-
-
-
-def A159226():
- x = SR.var('x')
- return { 'ogf': [((12-(2*x))+((2*((((-6)+(7*x)+(104*x**2))-(40*x**3)-(482*x**4)-(32*x**5))+(512*x**6)))/(((-1)+x)*((-1)+(2*x))*(1+(2*x))*((-1)+(2*x**2))*((-1)+(8*x**2)))))] }
-
-
-
-def A159227():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-7)-(8*x**4))+(32*x**3)+(19*x**2))-(15*x)))/((x-1)*((2*x)+1)*((2*x)-1)*((2*x**2)-1)))] }
-
-
-
-def A159228():
- x = SR.var('x')
- return { 'ogf': [(1+(((((-1)+x+(17*x**2))-(5*x**3)-(77*x**4)-(8*x**5))+(80*x**6))/(((-1)+x)*((-1)+(2*x))*(1+(2*x))*((-1)+(2*x**2))*((-1)+(8*x**2)))))] }
-
-
-
-def A159229():
- x = SR.var('x')
- return { 'ogf': [((7/4)+(x/4)+(((7-(20*x)-(57*x**2))+(154*x**3))/(4*((-1)+x)*((-1)+(2*x))*((-1)+(8*x**2)))))] }
-
-
-
-def A159233():
- x = SR.var('x')
- return { 'ogf': [((240*x**4*((120539*x**11)+(4939568*x**10)+(71258450*x**9)+(441713760*x**8)+(1285299570*x**7)+(1834236432*x**6)+(1296079344*x**5)+(442507920*x**4)+(68258235*x**3)+(4153600*x**2)+(75574*x)+208))/(x-1)**16)] }
-
-
-
-def A159254():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**2)+(36*x)+7))/((x-1)**2*(x+1)))] }
-
-
-
-def A159289():
- x = SR.var('x')
- return { 'ogf': [(-(((-5)+(4*x))/((1-(5*x))+(2*x**2))))] }
-
-
-
-def A159290():
- x = SR.var('x')
- return { 'ogf': [((3-x)/((((-x**2)+1)-(2*x))+(2*x**3)))] }
-
-
-
-def A159294():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((63*x**7)-(173*x**6))+(15*x**5)+(335*x**4))-(228*x**3)-(157*x**2))+(150*x)+1))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A159295():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((28*x**11)-(285*x**10))+(784*x**9))-(307*x**8)-(1866*x**7))+(2566*x**6)+(583*x**5))-(3036*x**4))+(1172*x**3)+(1039*x**2))-(717*x)-1))/((x-1)**7*(x+1)**3))] }
-
-
-
-def A159299():
- x = SR.var('x')
- return { 'ogf': [(-((96*x**4*((343316843*x**12)+(4.128584684E9*x**11)+(2.0203233398E10*x**10)+(5.03702577E10*x**9)+(6.8017469565E10*x**8)+(5.0271571704E10*x**7)+(2.0027437332E10*x**6)+(4.145554824E9*x**5)+(419198325*x**4)+(18781660*x**3)+(320278*x**2)+(1684*x)+3))/(x-1)**17))] }
-
-
-
-def A159356():
- x = SR.var('x')
- return { 'ogf': [((-x**2)+((x**2*(((-1)-(722*x**2)-(12589*x**3)-(36357*x**4)-(22846*x**5)-(692*x**6))+(535*x**7)+(12*x**8)))/((-1)+x)**9))] }
-
-
-
-def A159357():
- x = SR.var('x')
- return { 'ogf': [((-(17*x**3))-((x**3*((((17-(140*x))+(3718*x**2)+(90453*x**3)+(347157*x**4)+(218190*x**5))-(9588*x**6)-(3511*x**7))+(224*x**8)))/((-1)+x)**9))] }
-
-
-
-def A159360():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(((-16)-(355*x)-(24847*x**2)-(241724*x**3)-(604724*x**4)-(446879*x**5)-(67579*x**6))+(9004*x**7)+(940*x**8)+(8*x**9)))/((-1)+x)**11)] }
-
-
-
-def A159361():
- x = SR.var('x')
- return { 'ogf': [((-(80*x**3))-((2*x**3*((((40-(406*x))+(3813*x**2)+(218085*x**3)+(3185176*x**4)+(9874768*x**5)+(7680205*x**6)+(626909*x**7))-(183350*x**8))+(4896*x**9)+(288*x**10)))/((-1)+x)**11))] }
-
-
-
-def A159363():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*(1+x)*(3+(42*x)+(1522*x**2)+(18686*x**3)+(42654*x**4)+(18686*x**5)+(1522*x**6)+(42*x**7)+(3*x**8)))/((-1)+x)**13))] }
-
-
-
-def A159375():
- x = SR.var('x')
- return { 'ogf': [((-x)-(((1+x)*x*((((1-(4*x))+(637*x**2)+(47760*x**3)+(2021602*x**4)+(54462984*x**5)+(548532899*x**6)+(2125377516*x**7)+(3.36072601E9*x**8)+(2125377516*x**9)+(548532899*x**10)+(54462984*x**11)+(2021602*x**12)+(47760*x**13)+(637*x**14))-(4*x**15))+x**16))/((-1)+x)**19))] }
-
-
-
-def A159379():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(1+x)*(9+(342*x)+(39832*x**2)+(2374574*x**3)+(93413104*x**4)+(1672161938*x**5)+(1.2313058136E10*x**6)+(4.0002238314E10*x**7)+(5.9444070702E10*x**8)+(4.0002238314E10*x**9)+(1.2313058136E10*x**10)+(1672161938*x**11)+(93413104*x**12)+(2374574*x**13)+(39832*x**14)+(342*x**15)+(9*x**16)))/((-1)+x)**21))] }
-
-
-
-def A159383():
- x = SR.var('x')
- return { 'ogf': [(-((12*x**2*(1+x)*(1+(108*x)+(9833*x**2)+(866490*x**3)+(46525328*x**4)+(1327261872*x**5)+(1.674560984E10*x**6)+(9.7277340534E10*x**7)+(2.75802359702E11*x**8)+(3.90874554984E11*x**9)+(2.75802359702E11*x**10)+(9.7277340534E10*x**11)+(1.674560984E10*x**12)+(1327261872*x**13)+(46525328*x**14)+(866490*x**15)+(9833*x**16)+(108*x**17)+x**18))/((-1)+x)**23))] }
-
-
-
-def A159386():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x)*(8+(1649*x)+(187066*x**2)+(20829609*x**3)+(1515837476*x**4)+(6.3614656244E10*x**5)+(1.276374119248E12*x**6)+(1.2185198155972E13*x**7)+(5.8755893406228E13*x**8)+(1.49482468806702E14*x**9)+(2.04117353324396E14*x**10)+(1.49482468806702E14*x**11)+(5.8755893406228E13*x**12)+(1.2185198155972E13*x**13)+(1.276374119248E12*x**14)+(6.3614656244E10*x**15)+(1515837476*x**16)+(20829609*x**17)+(187066*x**18)+(1649*x**19)+(8*x**20)))/((-1)+x)**25))] }
-
-
-
-def A159389():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(1+x)*(8+(757*x)+(150684*x**2)+(19591732*x**3)+(1902144428*x**4)+(1.11467309309E11*x**5)+(3.357053495448E12*x**6)+(4.9669712820552E13*x**7)+(3.79085540031904E14*x**8)+(1.572597871783886E15*x**9)+(3.663335172842872E15*x**10)+(4.85487065277684E15*x**11)+(3.663335172842872E15*x**12)+(1.572597871783886E15*x**13)+(3.79085540031904E14*x**14)+(4.9669712820552E13*x**15)+(3.357053495448E12*x**16)+(1.11467309309E11*x**17)+(1902144428*x**18)+(19591732*x**19)+(150684*x**20)+(757*x**21)+(8*x**22)))/((-1)+x)**27))] }
-
-
-
-def A159392():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**2*(1+x)*(1+(75*x)+(18270*x**2)+(2969695*x**3)+(371519352*x**4)+(2.9402869921E10*x**5)+(1.270115156506E12*x**6)+(2.7861646979401E13*x**7)+(3.20243742405791E14*x**8)+(2.035253623371844E15*x**9)+(7.457245326412232E15*x**10)+(1.6147921368666408E16*x**11)+(2.0880695398301008E16*x**12)+(1.6147921368666408E16*x**13)+(7.457245326412232E15*x**14)+(2.035253623371844E15*x**15)+(3.20243742405791E14*x**16)+(2.7861646979401E13*x**17)+(1.270115156506E12*x**18)+(2.9402869921E10*x**19)+(371519352*x**20)+(2969695*x**21)+(18270*x**22)+(75*x**23)+x**24))/((-1)+x)**29))] }
-
-
-
-def A159395():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*(1+x)*(3+(774*x)+(147595*x**2)+(31420746*x**3)+(4.930813594E9*x**4)+(5.14132877008E11*x**5)+(3.073597201177E13*x**6)+(9.65001688149346E14*x**7)+(1.6097428576776772E16*x**8)+(1.50031357184487168E17*x**9)+(8.1865055247135667E17*x**10)+(2.7026594919955697E18*x**11)+(5.50345636199283E18*x**12)+(6.9716177185130394E18*x**13)+(5.50345636199283E18*x**14)+(2.7026594919955697E18*x**15)+(8.1865055247135667E17*x**16)+(1.50031357184487168E17*x**17)+(1.6097428576776772E16*x**18)+(9.65001688149346E14*x**19)+(3.073597201177E13*x**20)+(5.14132877008E11*x**21)+(4.930813594E9*x**22)+(31420746*x**23)+(147595*x**24)+(774*x**25)+(3*x**26)))/((-1)+x)**31))] }
-
-
-
-def A159397():
- x = SR.var('x')
- return { 'ogf': [((-x)-((x*(1+x)*((((1-(29*x))+(4379*x**2)+(821431*x**3)+(212904294*x**4)+(4.1572005795E10*x**5)+(5.592296001394E12*x**6)+(4.49779113080002E14*x**7)+(1.9634897290562828E16*x**8)+(4.6175560330149901E17*x**9)+(6.1097389792419973E18*x**10)+(4.774822588529762E19*x**11)+(2.2900555454017923E20*x**12)+(6.918248167427316E20*x**13)+(1.3368332714237208E21*x**14)+(1.6641324459136322E21*x**15)+(1.3368332714237208E21*x**16)+(6.918248167427316E20*x**17)+(2.2900555454017923E20*x**18)+(4.774822588529762E19*x**19)+(6.1097389792419973E18*x**20)+(4.6175560330149901E17*x**21)+(1.9634897290562828E16*x**22)+(4.49779113080002E14*x**23)+(5.592296001394E12*x**24)+(4.1572005795E10*x**25)+(212904294*x**26)+(821431*x**27)+(4379*x**28))-(29*x**29))+x**30))/((-1)+x)**33))] }
-
-
-
-def A159466():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(113+(240*x)+(385*x**2)+(240*x**3)+(113*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159469():
- x = SR.var('x')
- return { 'ogf': [((x**3*((-6)-(2*x)))/((x+1)**2*(x-1)**3))] }
-
-
-
-def A159548():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(181+(380*x)+(601*x**2)+(380*x**3)+(181*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159565():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(221+(462*x)+(727*x**2)+(462*x**3)+(221*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159574():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(313+(650*x)+(1015*x**2)+(650*x**3)+(313*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159589():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(421+(870*x)+(1351*x**2)+(870*x**3)+(421*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159612():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-x-(4*x**2)))] }
-
-
-
-def A159616():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(5*x)-(2*x**2))+(8*x**3)))] }
-
-
-
-def A159617():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(8*x)-(8*x**2))+(8*x**3)))] }
-
-
-
-def A159626():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(545+(1122*x)+(1735*x**2)+(1122*x**3)+(545*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159641():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(613+(1260*x)+(1945*x**2)+(1260*x**3)+(613*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159664():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1))/((x**2-(24*x))+1)))] }
-
-
-
-def A159668():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(28*x))+x**2))] }
-
-
-
-def A159669():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1))/((x**2-(28*x))+1))] }
-
-
-
-def A159673():
- x = SR.var('x')
- return { 'ogf': [((56*x**2)/((((-x**3)+(783*x**2))-(783*x))+1))] }
-
-
-
-def A159675():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-(32*x))+x**2))] }
-
-
-
-def A159678():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-(16*x))+x**2))] }
-
-
-
-def A159679():
- x = SR.var('x')
- return { 'ogf': [(-((32*x**2)/((x-1)*((x**2-(254*x))+1))))] }
-
-
-
-def A159680():
- x = SR.var('x')
- return { 'ogf': [(-((40*x**2)/((x-1)*((x**2-(398*x))+1))))] }
-
-
-
-def A159681():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**2)/((x-1)*((x**2-(142*x))+1))))] }
-
-
-
-def A159690():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(841+(1722*x)+(2647*x**2)+(1722*x**3)+(841*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159693():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-x**2)+x**3))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A159694():
- x = SR.var('x')
- return { 'ogf': [(((-(11*x))+6)/(1-(2*x))**2)] }
-
-
-
-def A159695():
- x = SR.var('x')
- return { 'ogf': [((7-(13*x))/(1-(2*x))**2)] }
-
-
-
-def A159696():
- x = SR.var('x')
- return { 'ogf': [((8-(15*x))/(1-(2*x))**2)] }
-
-
-
-def A159697():
- x = SR.var('x')
- return { 'ogf': [((9-(17*x))/(1-(2*x))**2)] }
-
-
-
-def A159701():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(925+(1892*x)+(2905*x**2)+(1892*x**3)+(925*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159710():
- x = SR.var('x')
- return { 'ogf': [((x**2*(-(8*x**2*((1-(4*x))+(2*x**2)))))/(((4*x)-1)**2*((2*x)-1)**3))] }
-
-
-
-def A159750():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(37+(84*x)+(149*x**2)+(84*x**3)+(37*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159754():
- x = SR.var('x')
- return { 'ogf': [((x*((9*x**2)+(32*x)+9))/((x-1)**2*(x+1)))] }
-
-
-
-def A159758():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(65+(144*x)+(245*x**2)+(144*x**3)+(65*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159771():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(3*x**2))-sqrt(((1+x**2)*((1-(4*x))+x**2))))/(4*x))] }
-
-
-
-def A159777():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(145+(312*x)+(509*x**2)+(312*x**3)+(145*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159809():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(197+(420*x)+(677*x**2)+(420*x**3)+(197*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159833():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(((4*x**2)-(5*x))+4))/(x-1)**5))] }
-
-
-
-def A159844():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(325+(684*x)+(1085*x**2)+(684*x**3)+(325*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159890():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(401+(840*x)+(1325*x**2)+(840*x**3)+(401*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159893():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(677+(1404*x)+(2189*x**2)+(1404*x**3)+(677*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159896():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(785+(1624*x)+(2525*x**2)+(1624*x**3)+(785*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A159915():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1-x)+x**2))/(((((((1-(3*x))+(5*x**2))-(7*x**3))+(7*x**4))-(5*x**5))+(3*x**6))-x**7))] }
-
-
-
-def A159938():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((1-x)+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A159940():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(2+(3*x**2)+x**3))/(x-1)**4)] }
-
-
-
-def A159941():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(2+(3*x**2)+x**3))/(1-x)**4)] }
-
-
-
-def A159964():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(1-(2*x))**2)] }
-
-
-
-def A160041():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(53+(126*x)+(251*x**2)+(126*x**3)+(53*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160050():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((-1)-(2*x)-(5*x**4))+(3*x**5))-(2*x**6))+x**7))/((x-1)**3*(x**2+1)**3))] }
-
-
-
-def A160055():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(65+(154*x)+(303*x**2)+(154*x**3)+(65*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160090():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(485+(1054*x)+(1743*x**2)+(1054*x**3)+(485*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160098():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(425+(1026*x)+(2287*x**2)+(1026*x**3)+(425*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160108():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**10)+x**9+(6*x**8)+(3*x**7)+(11*x**6)+(8*x**5)+(5*x**4)+(3*x**3)+(2*x**2)+(9*x)+1))/((x-1)**2*(x+1)**2*((x**2-x)+1)**2*(x**2+x+1)**2))] }
-
-
-
-def A160117():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*((4*x**3)+x**2+(8*x)+1))/((x+1)**2*(1-x)**3))] }
-
-
-
-def A160156():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x))/(((-1)+(4*x))*(x-1)**2))] }
-
-
-
-def A160174():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(89*x)+(179*x**2)+(19*x**3)))/(1-x)**4)] }
-
-
-
-def A160176():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(533+(1150*x)+(1883*x**2)+(1150*x**3)+(533*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160191():
- x = SR.var('x')
- return { 'ogf': [((x**11+(5*x**10)+(4*x**9)+(9*x**8)+(3*x**7)+(6*x**6)+(11*x**5)+(7*x**4)+(4*x**3)+(3*x**2)+x+2)/((x-1)**2*(x+1)**2*((x**2-x)+1)**2*(x**2+x+1)**2))] }
-
-
-
-def A160200():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(541+(1302*x)+(2767*x**2)+(1302*x**3)+(541*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160203():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(641+(1450*x)+(2555*x**2)+(1450*x**3)+(641*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160206():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(697+(1554*x)+(2671*x**2)+(1554*x**3)+(697*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160209():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(673+(1610*x)+(3295*x**2)+(1610*x**3)+(673*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160212():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(845+(1798*x)+(2891*x**2)+(1798*x**3)+(845*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160250():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(89*x)+(251*x**2)+(43*x**3)))/(x-1)**4)] }
-
-
-
-def A160333():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x**2+x**3+x**4+x)*((((x**4-x**3)+x**2)-x)+1))/((((-1)+x)-x**2)+x**3+x**5+x**7+x**9))),
-((1-x**10)/((1-x-x**4)+x**11))] }
-
-
-
-def A160372():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((3*x**4)-(14*x**3))+(28*x**2)+(70*x)+105))/(1-x)**5)] }
-
-
-
-def A160379():
- x = SR.var('x')
- return { 'ogf': [((x*((18*x**3)+x**2+(26*x)+1)*(x**4+(4*x**2)+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A160411():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*((4*x**3)+x**2+(8*x)+1))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A160413():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(3*x**2)+x+2))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A160444():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-1)-x)+x**2))/((-1)+(2*x**2)+(2*x**4)))] }
-
-
-
-def A160450():
- x = SR.var('x')
- return { 'ogf': [((((1-(34*x))+(276*x**2))-(584*x**3))/((1-(3*x))*(1-(4*x))*(1-(8*x))*(1-(24*x))))] }
-
-
-
-def A160451():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(((((126+(134*x)+(41*x**2))-(65*x**3))+(95*x**4)+(52*x**5))-(61*x**6)-(13*x**7))+(15*x**8)))/((1+x)**4*(x-1)**5)))] }
-
-
-
-def A160454():
- x = SR.var('x')
- return { 'ogf': [(-(((((((249792*x**5)-(159200*x**4))+(36984*x**3))-(3746*x**2))+(148*x))-1)/(((4*x)-1)*((5*x)-1)*((6*x)-1)*((8*x)-1)*((12*x)-1)*((120*x)-1))))] }
-
-
-
-def A160457():
- x = SR.var('x')
- return { 'ogf': [(-(((2-(5*x))+(5*x**2))/(x-1)**3))] }
-
-
-
-def A160529():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2+(19*x**3))/((1-x**4)*(1-x)))] }
-
-
-
-def A160536():
- x = SR.var('x')
- return { 'ogf': [((x*(((2-(3*x))+x**2)-(2*x**3)))/((1-x)**3*(1-x-x**2)))] }
-
-
-
-def A160542():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10))/((1+x)*(1+x+x**2+x**3+x**4)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A160543():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10+x**11+x**12+x**13+x**14+x**15+x**16))/((1+x)*(1+x**2)*(1+x**4)*(1+x**8)*(x-1)**2))] }
-
-
-
-def A160545():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+x**3+(3*x**4)+(2*x**5)+x**6+(2*x**7)+(3*x**8)+x**9+(2*x**10)+x**11+x**12))/((1+x)*(1+x**2)*(1+x+x**2)*((x**2-x)+1)*((x**4-x**2)+1)*(x-1)**2))] }
-
-
-
-def A160565():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-sqrt(((1-(2*x**2)-(8*x**3))+x**4)))/(4*x**3))] }
-
-
-
-def A160568():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-sqrt(((1-(2*x**2)-(12*x**3))+x**4)))/(6*x**3))] }
-
-
-
-def A160574():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(233+(546*x)+(1039*x**2)+(546*x**3)+(233*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160577():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(305+(714*x)+(1355*x**2)+(714*x**3)+(305*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160580():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(325+(782*x)+(1659*x**2)+(782*x**3)+(325*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160583():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(445+(966*x)+(1595*x**2)+(966*x**3)+(445*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A160682():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*x)/((1-(15*x))+x**2))] }
-
-
-
-def A160702():
- x = SR.var('x')
- return { 'ogf': [((1/4)+((1-sqrt(((((16*x**3)+x**2)-(6*x))+1)))/(4*x)))] }
-
-
-
-def A160705():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x-1)*(1+x+x**2)*(((x**4+x**3)-x**2)+x+1))/((1+x)**4*((x**2-x)+1)**4)))] }
-
-
-
-def A160706():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1-x**2))/(1+x**3)**2)] }
-
-
-
-def A160747():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(20*x**2)+(10*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A160749():
- x = SR.var('x')
- return { 'ogf': [((5+(5*x)+x**2)/(1-x)**3)] }
-
-
-
-def A160750():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x)+(24*x**2)+(11*x**3)+(10*x**4))/(1-x)**5)] }
-
-
-
-def A160765():
- x = SR.var('x')
- return { 'ogf': [((1+(13*x)+(32*x**2)+(13*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A160767():
- x = SR.var('x')
- return { 'ogf': [((1+(12*x)+(28*x**2)+(12*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A160768():
- x = SR.var('x')
- return { 'ogf': [((21+(98*x)+(91*x**2)+(21*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A160769():
- x = SR.var('x')
- return { 'ogf': [((21+(101*x)+(97*x**2)+(22*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A160787():
- x = SR.var('x')
- return { 'ogf': [((21+(104*x)+(103*x**2)+(23*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A160788():
- x = SR.var('x')
- return { 'ogf': [((1+(62*x)+(561*x**2)+(1014*x**3)+(449*x**4)+(48*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160790():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-x)+x**2))/((1+x)**3*(x-1)**4)))] }
-
-
-
-def A160791():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2))/(1-x**2)**3)] }
-
-
-
-def A160815():
- x = SR.var('x')
- return { 'ogf': [((1+(62*x)+(562*x**2)+(1023*x**3)+(458*x**4)+(49*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160816():
- x = SR.var('x')
- return { 'ogf': [((1+(62*x)+(563*x**2)+(1032*x**3)+(467*x**4)+(50*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160817():
- x = SR.var('x')
- return { 'ogf': [((1+(62*x)+(564*x**2)+(1041*x**3)+(476*x**4)+(51*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160823():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-sqrt(((1-(2*x)-(5*x**2))+(6*x**3)+x**4)))/(2*(x**2*(1-x))))] }
-
-
-
-def A160824():
- x = SR.var('x')
- return { 'ogf': [(((((-(8*x**5))+(7*x**4))-(4*x**3)-x**2)+(5*x)+1)/((-(2*x**2))+1))] }
-
-
-
-def A160827():
- x = SR.var('x')
- return { 'ogf': [(((-17)-(2*x**4)-(7*x**3)-(33*x**2)-(13*x))/(x-1)**5)] }
-
-
-
-def A160828():
- x = SR.var('x')
- return { 'ogf': [((((((-98)-(18*x**4))+(72*x**3))-(188*x**2))+(136*x))/(x-1)**5)] }
-
-
-
-def A160829():
- x = SR.var('x')
- return { 'ogf': [((1+(44*x)+(337*x**2)+(612*x**3)+(305*x**4)+(40*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160831():
- x = SR.var('x')
- return { 'ogf': [((1+(62*x)+(570*x**2)+(1095*x**3)+(530*x**4)+(57*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160833():
- x = SR.var('x')
- return { 'ogf': [((1+(62*x)+(569*x**2)+(1086*x**3)+(521*x**4)+(56*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160834():
- x = SR.var('x')
- return { 'ogf': [((1+(62*x)+(567*x**2)+(1068*x**3)+(503*x**4)+(54*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160835():
- x = SR.var('x')
- return { 'ogf': [((1+(44*x)+(339*x**2)+(630*x**3)+(323*x**4)+(42*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160836():
- x = SR.var('x')
- return { 'ogf': [((1+(62*x)+(565*x**2)+(1050*x**3)+(485*x**4)+(52*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160837():
- x = SR.var('x')
- return { 'ogf': [((1+(38*x)+(262*x**2)+(475*x**3)+(254*x**4)+(37*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160838():
- x = SR.var('x')
- return { 'ogf': [((1+(38*x)+(263*x**2)+(484*x**3)+(263*x**4)+(38*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160839():
- x = SR.var('x')
- return { 'ogf': [((78+(1116*x)+(3492*x**2)+(3237*x**3)+(927*x**4)+(72*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160840():
- x = SR.var('x')
- return { 'ogf': [((1+(147*x)+(1230*x**2)+(1885*x**3)+(714*x**4)+(63*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160841():
- x = SR.var('x')
- return { 'ogf': [((1+(147*x)+(1230*x**2)+(1915*x**3)+(744*x**4)+(66*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160852():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2-sqrt(((1-(10*x)-x**2)+(10*x**3)+x**4)))/(6*x*(1-x**2)))] }
-
-
-
-def A160853():
- x = SR.var('x')
- return { 'ogf': [((1+(147*x)+(1230*x**2)+(1925*x**3)+(754*x**4)+(67*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160854():
- x = SR.var('x')
- return { 'ogf': [((1+(147*x)+(1098*x**2)+(1638*x**3)+(632*x**4)+(59*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160863():
- x = SR.var('x')
- return { 'ogf': [((1+(147*x)+(1142*x**2)+(1717*x**3)+(656*x**4)+(60*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A160869():
- x = SR.var('x')
- return { 'ogf': [(-((x*((6*x**2)-1))/((x-1)*((2*x)-1)*((3*x)-1)*((6*x)-1))))] }
-
-
-
-def A160958():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))*(1+(7*x))))] }
-
-
-
-def A160967():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x)+(4*x**2))-(2*x**4)-(4*x**5)))/((1-(5*x**3))+(4*x**6)))] }
-
-
-
-def A160970():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*(x**2+(9*x)+1))/(((x**2-(6*x))+1)*(x**2+(6*x)+1)))] }
-
-
-
-def A160993():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x+x**2)*(((1-x**5)+x**3)-x**2-x)))] }
-
-
-
-def A161158():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((((1-(14*x))+(34*x**2))-(14*x**3))+x**4))] }
-
-
-
-def A161159():
- x = SR.var('x')
- return { 'ogf': [((x*((((9-(115*x))+(208*x**2))-(115*x**3))+(9*x**4)))/(((x**2-(5*x))+1)*((((x**4-(35*x**3))+(72*x**2))-(35*x))+1)))] }
-
-
-
-def A161168():
- x = SR.var('x')
- return { 'ogf': [(-((2*((3*x)-1))/(((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A161204():
- x = SR.var('x')
- return { 'ogf': [(((((-2)+(3*x))-x**3)+(2*x**2))/(((2*x)-1)*(1+x)*(1+x**2)))] }
-
-
-
-def A161365():
- x = SR.var('x')
- return { 'ogf': [((x*(9+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A161374():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(2*x**2))/(2-(8*x**3)))+(x/(2-(4*x**3))))-(1/2)-x)+x**4+(4*x**5)+(2*x**6)+(6*x**7)+(6*x**8))] }
-
-
-
-def A161410():
- x = SR.var('x')
- return { 'ogf': [((x**22+(3*x**21)+(5*x**20)+(7*x**19)+(10*x**18)+(14*x**17)+(17*x**16)+(19*x**15)+(22*x**14)+(25*x**13)+(26*x**12)+(26*x**11)+(26*x**10)+(25*x**9)+(22*x**8)+(19*x**7)+(17*x**6)+(14*x**5)+(10*x**4)+(7*x**3)+(5*x**2)+(3*x)+1)/((((((((((((((((((x**22-(4*x**21))+(6*x**20))-(4*x**19))+x**18)-x**15)+(4*x**14))-(6*x**13))+(4*x**12))-(2*x**11))+(4*x**10))-(6*x**9))+(4*x**8))-x**7)+x**4)-(4*x**3))+(6*x**2))-(4*x))+1))] }
-
-
-
-def A161434():
- x = SR.var('x')
- return { 'ogf': [((1-x)**6/((2*(1-x)**6)-1))] }
-
-
-
-def A161478():
- x = SR.var('x')
- return { 'ogf': [((x*((52+(123*x)+(164*x**2))-(36*x**3)-(41*x**4)-(36*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A161479():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(85+(198*x)+(371*x**2)+(198*x**3)+(85*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A161482():
- x = SR.var('x')
- return { 'ogf': [((x*((96+(93*x)+(264*x**2))-(60*x**3)-(31*x**4)-(60*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A161483():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(109+(260*x)+(525*x**2)+(260*x**3)+(109*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A161486():
- x = SR.var('x')
- return { 'ogf': [((x*((69+(267*x)+(237*x**2))-(51*x**3)-(89*x**4)-(51*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A161487():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(149+(340*x)+(609*x**2)+(340*x**3)+(149*x**4)))/((1-(6*x**3))+x**6))] }
-
-
-
-def A161495():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)-1)*(x-3))/((((1-(15*x))+(32*x**2))-(15*x**3))+x**4))] }
-
-
-
-def A161532():
- x = SR.var('x')
- return { 'ogf': [(((1+(8*x))-(5*x**2))/(1-x)**3)] }
-
-
-
-def A161549():
- x = SR.var('x')
- return { 'ogf': [(((1+(14*x))-(11*x**2))/(1-x)**3)] }
-
-
-
-def A161582():
- x = SR.var('x')
- return { 'ogf': [(-((7*x**2)/((x-1)*((x**2-(47*x))+1))))] }
-
-
-
-def A161583():
- x = SR.var('x')
- return { 'ogf': [(-((17*x**2)/((x-1)*((x**2-(287*x))+1))))] }
-
-
-
-def A161584():
- x = SR.var('x')
- return { 'ogf': [(-((15*x**2)/((x-1)*((x**2-(223*x))+1))))] }
-
-
-
-def A161585():
- x = SR.var('x')
- return { 'ogf': [(-((9*x**2)/((x-1)*((x**2-(79*x))+1))))] }
-
-
-
-def A161587():
- x = SR.var('x')
- return { 'ogf': [((1+(21*x)+(4*x**2))/(1-x)**3)] }
-
-
-
-def A161588():
- x = SR.var('x')
- return { 'ogf': [(-((13*x**2)/((x-1)*((x**2-(167*x))+1))))] }
-
-
-
-def A161591():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-(15*x))+x**2))] }
-
-
-
-def A161595():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/((1-(17*x))+x**2))] }
-
-
-
-def A161599():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*x)/((1-(17*x))+x**2))] }
-
-
-
-def A161680():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-x)**3)] }
-
-
-
-def A161701():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(6*x**2))-(4*x**3))+(2*x**4))/(1-x)**6)] }
-
-
-
-def A161702():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(5*x**2))-(6*x**3))/(1-x)**4)] }
-
-
-
-def A161703():
- x = SR.var('x')
- return { 'ogf': [(((1-x-x**2)+(9*x**3))/(1-x)**4)] }
-
-
-
-def A161706():
- x = SR.var('x')
- return { 'ogf': [((((((1-(4*x))+(7*x**2))-(9*x**3))+(15*x**4))-(21*x**5))/(1-x)**6)] }
-
-
-
-def A161707():
- x = SR.var('x')
- return { 'ogf': [(((((7*x**3)+x**2)-x)+1)/(x-1)**4)] }
-
-
-
-def A161708():
- x = SR.var('x')
- return { 'ogf': [(-(((((-1)+(2*x))-(9*x**2))+(14*x**3))/((-1)+x)**4))] }
-
-
-
-def A161710():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(6*x))+(15*x**2))-(20*x**3))+(16*x**4))-(12*x**5))+(18*x**6))-(24*x**7))/(1-x)**8)] }
-
-
-
-def A161712():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(1+(x*((5*x)-2))))/(x-1)**4)] }
-
-
-
-def A161713():
- x = SR.var('x')
- return { 'ogf': [(-(((((((-1)+(4*x))-(7*x**2))+(7*x**3))-(7*x**4))+(7*x**5))/((-1)+x)**6))] }
-
-
-
-def A161718():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**2))/(1+x)**2)] }
-
-
-
-def A161726():
- x = SR.var('x')
- return { 'ogf': [((((-9479)+(19874*x))-(10397*x**2))/(x-1)**3)] }
-
-
-
-def A161727():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(8*x))+(13*x**2)))] }
-
-
-
-def A161728():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(8*x))+(13*x**2)))] }
-
-
-
-def A161729():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(16*x))+(52*x**2)))] }
-
-
-
-def A161734():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A161852():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(6*x)+x**2))/((1-(16*x**2))+x**4))] }
-
-
-
-def A161909():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((x-1)*((2*x)+1)*((2*x**2)+(2*x)+1))))] }
-
-
-
-def A161938():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A161939():
- x = SR.var('x')
- return { 'ogf': [((3-(10*x))/((1-(8*x))+(14*x**2))),
-((3-(10*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A161940():
- x = SR.var('x')
- return { 'ogf': [((3-(13*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A161941():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A161944():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A161947():
- x = SR.var('x')
- return { 'ogf': [((2-(9*x))/((1-(10*x))+(23*x**2))),
-((2-(9*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A161999():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-1)-x)+(10*x**2)))/(((3*x)-1)*((3*x)+1)*((11*x**2)-1))))] }
-
-
-
-def A162008():
- x = SR.var('x')
- return { 'ogf': [(((16+(296*x))-(768*x**2)-(1080*x**3))/((1-x)**3*(1-(9*x))**2*(1-(25*x))))] }
-
-
-
-def A162009():
- x = SR.var('x')
- return { 'ogf': [(((((272+(17376*x))-(321360*x**2)-(1298624*x**3))+(8914800*x**4))-(11262240*x**5)-(10206000*x**6))/((1-x)**4*(1-(9*x))**3*(1-(25*x))**2*(1-(49*x))))] }
-
-
-
-def A162010():
- x = SR.var('x')
- return { 'ogf': [((((((((7936+(1305088*x))-(79792256*x**2)-(109331968*x**3))+(4.1828672E10*x**4))-(4.60917924352E11*x**5))+(2.3869744512E11*x**6)+(5.066784271872E12*x**7))-(1.472369394816E13*x**8))+(1.2172737024E13*x**9)+(8.1015228E12*x**10))/(1-x)**5/(1-(9*x))**4/(1-(25*x))**3/(1-(49*x))**2/(1-(81*x)))] }
-
-
-
-def A162012():
- x = SR.var('x')
- return { 'ogf': [((x*(19+(492*x)+(1218*x**2)+(492*x**3)+(19*x**4)))/(1-x)**9)] }
-
-
-
-def A162013():
- x = SR.var('x')
- return { 'ogf': [((x*(9+(3631*x)+(115138*x**2)+(718465*x**3)+(1282314*x**4)+(718465*x**5)+(115138*x**6)+(3631*x**7)+(9*x**8)))/(1-x)**13)] }
-
-
-
-def A162148():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x))/(x-1)**4)] }
-
-
-
-def A162155():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((((-2)-(9*x)-x**2-(4*x**3))+(8*x**4))-(58*x**5))+(6*x**6)+(2*x**8))-(5*x**9))+(3*x**10))-(4*x**7)))/((1+x)**2*(x-1)**3*(x**2+1)**3))] }
-
-
-
-def A162254():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(3*x))-x**2))/(1-x)**4)] }
-
-
-
-def A162255():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)))/(1-(2*x**2)))] }
-
-
-
-def A162256():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(7*x))-(3*x**2)))/(1-x)**4)] }
-
-
-
-def A162257():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)+(15*x))-(7*x**2)))/(1-x)**4)] }
-
-
-
-def A162258():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)+(13*x))-(6*x**2)))/(1-x)**4)] }
-
-
-
-def A162259():
- x = SR.var('x')
- return { 'ogf': [((x*(((-5)+(21*x))-(10*x**2)))/(1-x)**4)] }
-
-
-
-def A162260():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(3*x))-(2*x**2)))/(1-x)**4)] }
-
-
-
-def A162261():
- x = SR.var('x')
- return { 'ogf': [((x**2*(11-(5*x)))/(1-x)**4)] }
-
-
-
-def A162262():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)+(17*x))-(8*x**2)))/(1-x)**4)] }
-
-
-
-def A162263():
- x = SR.var('x')
- return { 'ogf': [((x*((9-(7*x))+(4*x**2)))/(1-x)**4)] }
-
-
-
-def A162264():
- x = SR.var('x')
- return { 'ogf': [((x*((7-(3*x))+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A162265():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(9*x))-(4*x**2)))/(1-x)**4)] }
-
-
-
-def A162266():
- x = SR.var('x')
- return { 'ogf': [((x*((14-(17*x))+(9*x**2)))/(1-x)**4)] }
-
-
-
-def A162267():
- x = SR.var('x')
- return { 'ogf': [((x*((6-x)+x**2))/(1-x)**4)] }
-
-
-
-def A162268():
- x = SR.var('x')
- return { 'ogf': [((5-(3*x))/(1-(2*x)-x**2))] }
-
-
-
-def A162269():
- x = SR.var('x')
- return { 'ogf': [((5-(8*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A162270():
- x = SR.var('x')
- return { 'ogf': [((5-(13*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A162271():
- x = SR.var('x')
- return { 'ogf': [((5-(18*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A162272():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(10*x))+(22*x**2))),
-((1-(2*x))/((1-(10*x))+(22*x**2)))] }
-
-
-
-def A162273():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(6*x))+(6*x**2)))] }
-
-
-
-def A162274():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(8*x))+(13*x**2)))] }
-
-
-
-def A162275():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/((1-(10*x))+(22*x**2)))] }
-
-
-
-def A162285():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-x**2))/(1+x**4)),
-(1/(1+(x/(1-((2*x)/(1+(x/(1+(x/(1+(x**2/(1-x))))))))))))] }
-
-
-
-def A162289():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**6)*(1+x**10)*(1+x**12))/(1-x**30))] }
-
-
-
-def A162326():
- x = SR.var('x')
- return { 'ogf': [((5/4)-((1/4)*sqrt(((1-(9*x))/(1-x)))))] }
-
-
-
-def A162330():
- x = SR.var('x')
- return { 'ogf': [((x*(((2-x)+x**2+x**3)-x**4))/((1+x)*(1+x**2)*(1-x)**2))] }
-
-
-
-def A162356():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A162395():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(1+x)**3)] }
-
-
-
-def A162396():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(2*x)))/(1-(2*x**2)))] }
-
-
-
-def A162397():
- x = SR.var('x')
- return { 'ogf': [((x-x**3)/(1+x+x**2)**2)] }
-
-
-
-def A162436():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-(3*x**2)))] }
-
-
-
-def A162466():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)))/(1-(12*x**2)))] }
-
-
-
-def A162484():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((-1)-(2*x))+(3*x**2)+(2*x**3)))/((x-1)*(1+x)*((x**2+(2*x))-1))))] }
-
-
-
-def A162485():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-x-(2*x**2)-x**3))/(1-x)/(1+x)/(1-(2*x)-x**2))] }
-
-
-
-def A162493():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-x**6)*(1-x**8)*(1-x**10)*(1-x**12)*(1-x**14)*(1-x**18))/(1-x)**7)] }
-
-
-
-def A162494():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-x**8)*(1-x**12)*(1-x**14)*(1-x**18)*(1-x**20)*(1-x**24)*(1-x**30))/(1-x)**8)] }
-
-
-
-def A162495():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-x**6)*(1-x**10))/(1-x)**3)] }
-
-
-
-def A162496():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-x**6)*(1-x**8)*(1-x**12))/(1-x)**4)] }
-
-
-
-def A162497():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-x**12)*(1-x**20)*(1-x**30))/(1-x)**4)] }
-
-
-
-def A162533():
- x = SR.var('x')
- return { 'ogf': [((1-x)/sqrt((((1-(4*x))+(4*x**2))-(4*x**4))))] }
-
-
-
-def A162543():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+x**2)-sqrt(((((1-(6*x))+(3*x**2))-(6*x**3))+x**4)))/(2*x*(1+x**2)))] }
-
-
-
-def A162548():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-sqrt(((((1-(6*x))+(3*x**2))-(6*x**3))+x**4)))/(4*x*(1+x**2)))] }
-
-
-
-def A162557():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(8*x))+(13*x**2)))] }
-
-
-
-def A162558():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(10*x))+(22*x**2))),
-((1-(4*x))/((1-(10*x))+(22*x**2)))] }
-
-
-
-def A162559():
- x = SR.var('x')
- return { 'ogf': [((4-x)/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A162560():
- x = SR.var('x')
- return { 'ogf': [((3-(10*x))/(x*((1-(6*x))+(6*x**2))))] }
-
-
-
-def A162561():
- x = SR.var('x')
- return { 'ogf': [((4-(17*x))/((1-(10*x))+(22*x**2)))] }
-
-
-
-def A162562():
- x = SR.var('x')
- return { 'ogf': [((5-(2*x))/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A162563():
- x = SR.var('x')
- return { 'ogf': [((5-(7*x))/((1-(4*x))+x**2))] }
-
-
-
-def A162607():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(5*x**2)))/(1-x)**4)] }
-
-
-
-def A162626():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((1-(6*x**3))+(14*x**4))-(11*x**5))+(3*x**6)))/(1-x)**4)] }
-
-
-
-def A162666():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(20*x))+(98*x**2)))] }
-
-
-
-def A162667():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(20*x))+(97*x**2)))] }
-
-
-
-def A162668():
- x = SR.var('x')
- return { 'ogf': [((8*x)/(1-x)**5)] }
-
-
-
-def A162669():
- x = SR.var('x')
- return { 'ogf': [((144*x)/(1-x)**7)] }
-
-
-
-def A162671():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-x)+x**2))/(((x**2+(10*x))-1)*(x**2-(10*x)-1))))] }
-
-
-
-def A162673():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+(7*x)+x**2))/(1-x)**5)] }
-
-
-
-def A162674():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(90*x)+(298*x**2)+(90*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A162675():
- x = SR.var('x')
- return { 'ogf': [((x**3*(114+(1884*x)+(4404*x**2)+(1884*x**3)+(114*x**4)))/(1-x)**9)] }
-
-
-
-def A162698():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((x**9+(4*x**8))-(3*x**7))+(7*x**6))-(5*x**5))+(8*x**4))-(5*x**3))+(7*x**2))-(3*x))+4))/((x-1)**2*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A162699():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*(x**4+(2*x**3)+x**2+(2*x)+1))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A162723():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(8*x))+(19*x**2))/(((3*x)-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A162725():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(7*x))+(13*x**2))/((x-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A162729():
- x = SR.var('x')
- return { 'ogf': [((10*x)/(((25*x)-1)*((5*x)-1)))] }
-
-
-
-def A162740():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((3*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A162743():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((10*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A162744():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((15*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A162746():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))**3/((((1-(8*x))+(23*x**2))-(28*x**3))+(11*x**4)))] }
-
-
-
-def A162754():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((21*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A162755():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((28*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A162756():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((36*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A162757():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(12*x))+(33*x**2)))] }
-
-
-
-def A162758():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(14*x))+(46*x**2)))] }
-
-
-
-def A162759():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(16*x))+(61*x**2)))] }
-
-
-
-def A162760():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((45*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A162761():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2+x**2)-x**3))/((1-x)**3*(1+x)))] }
-
-
-
-def A162762():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((x**2-x)+1)*(x**3-x-1))/((x-1)**3*(x+1)*(x**2+1)))] }
-
-
-
-def A162766():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(3*x)))/(1-(3*x**2)))] }
-
-
-
-def A162767():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((55*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A162768():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((66*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A162769():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(8*x))+(11*x**2)))] }
-
-
-
-def A162770():
- x = SR.var('x')
- return { 'ogf': [((2+(3*x))/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A162771():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A162772():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(8*x))+(11*x**2)))] }
-
-
-
-def A162773():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A162783():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((78*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A162785():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((91*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A162791():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((105*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A162803():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((120*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A162804():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((136*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A162805():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((153*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A162806():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((171*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A162807():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((190*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A162808():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((210*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A162809():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((231*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A162810():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((253*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A162811():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((276*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A162812():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((300*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A162813():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(3*x)))/(1-(3*x**2)))] }
-
-
-
-def A162814():
- x = SR.var('x')
- return { 'ogf': [((5-(12*x))/((1-(6*x))+(6*x**2)))] }
-
-
-
-def A162815():
- x = SR.var('x')
- return { 'ogf': [((5-(17*x))/((1-(8*x))+(13*x**2)))] }
-
-
-
-def A162816():
- x = SR.var('x')
- return { 'ogf': [((5-(27*x))/((1-(12*x))+(33*x**2)))] }
-
-
-
-def A162827():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((325*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A162830():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((351*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A162831():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((378*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A162833():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((406*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A162835():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((435*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A162836():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((465*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A162837():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((496*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A162838():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((528*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A162847():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((561*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A162849():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-1)-(10*x))+(100*x**2)))/((x-1)*(1+x)*((90*x**2)-1)*((110*x**2)-1)))] }
-
-
-
-def A162850():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((595*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A162851():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((630*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A162852():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x))/(1-(3*x**2)))] }
-
-
-
-def A162858():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((666*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A162871():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((703*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A162877():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((741*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A162878():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((780*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A162879():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((820*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A162881():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((861*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A162882():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((903*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A162885():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((946*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A162889():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((990*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A162896():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((1035*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A162899():
- x = SR.var('x')
- return { 'ogf': [((((4*x**4)-(4*x**3)-(7*x**2))+(8*x)+1)/((x-1)**4*(x+1)**2))] }
-
-
-
-def A162913():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((1081*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A162914():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((1128*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A162919():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2)+(2*x)+1)/(((1176*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A162920():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/((x**4-x**3-x**2-x)+1))] }
-
-
-
-def A162921():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A162925():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A162937():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A162941():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A162942():
- x = SR.var('x')
- return { 'ogf': [(-((49*x)/(x-1)**3))] }
-
-
-
-def A162949():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A162959():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x+1))/((x**4-(4*x**2))+1))] }
-
-
-
-def A162960():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A162962():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/(1-(5*x**2)))] }
-
-
-
-def A162963():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(5*x)))/(1-(5*x**2)))] }
-
-
-
-def A162983():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A162987():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A163003():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(((x**4-x**3)+x**2+x)-1))/(((x**2+x)-1)*(((((x**6-(7*x**5))+x**4+(6*x**3))-(11*x**2))+(7*x))-1))))] }
-
-
-
-def A163037():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/(((x**2+(2*x))-1)*(x-1)**3))] }
-
-
-
-def A163038():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((1+(5*x))-(6*x**2)-(11*x**3))+(14*x**4))-(9*x**5)-(2*x**6)-x**7)+x**8))/(((x**2+(2*x))-1)*(((((x**6-(7*x**5))+x**4+(6*x**3))-(11*x**2))+(7*x))-1)*(x-1)**3)))] }
-
-
-
-def A163047():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((x**2+(3*x))-1))/((((((-1)+(7*x))-(11*x**2))+(6*x**3)+x**4)-(7*x**5))+x**6)))] }
-
-
-
-def A163055():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A163062():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A163063():
- x = SR.var('x')
- return { 'ogf': [((3-x)/(1-(4*x)-x**2))] }
-
-
-
-def A163064():
- x = SR.var('x')
- return { 'ogf': [((3-(7*x))/((1-(8*x))+(11*x**2)))] }
-
-
-
-def A163065():
- x = SR.var('x')
- return { 'ogf': [((3-(10*x))/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A163066():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/((1-(12*x))+(31*x**2)))] }
-
-
-
-def A163067():
- x = SR.var('x')
- return { 'ogf': [((2-(9*x))/((1-(14*x))+(44*x**2)))] }
-
-
-
-def A163068():
- x = SR.var('x')
- return { 'ogf': [((2-(11*x))/((1-(16*x))+(59*x**2)))] }
-
-
-
-def A163069():
- x = SR.var('x')
- return { 'ogf': [((4+x)/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A163070():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x))/(1-(4*x)-x**2))] }
-
-
-
-def A163071():
- x = SR.var('x')
- return { 'ogf': [((4-(7*x))/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A163072():
- x = SR.var('x')
- return { 'ogf': [((4-(15*x))/((1-(10*x))+(20*x**2)))] }
-
-
-
-def A163073():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(8*x))+(11*x**2)))] }
-
-
-
-def A163084():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A163090():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A163091():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A163092():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A163093():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A163102():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(4*x)+x**2))/(1-x)**5)] }
-
-
-
-def A163104():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A163110():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A163114():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(5*x)))/(1-(5*x**2)))] }
-
-
-
-def A163124():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A163141():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(5*x)))/(1-(5*x**2)))] }
-
-
-
-def A163145():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A163146():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(12*x))+(31*x**2)))] }
-
-
-
-def A163147():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(14*x))+(44*x**2)))] }
-
-
-
-def A163148():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(16*x))+(59*x**2)))] }
-
-
-
-def A163149():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A163165():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(8*x))*(1-(12*x))))] }
-
-
-
-def A163166():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(20*x))+(95*x**2)))] }
-
-
-
-def A163171():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A163174():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A163175():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A163177():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A163179():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A163187():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A163192():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(20*x))+(93*x**2)))] }
-
-
-
-def A163206():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(20*x))+(92*x**2)))] }
-
-
-
-def A163207():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A163208():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A163214():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A163215():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A163216():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A163217():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A163218():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A163219():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A163220():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A163221():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A163222():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A163223():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A163224():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A163225():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A163226():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A163230():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A163231():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A163232():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A163250():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/(((x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A163265():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A163266():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A163274():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+(29*x)+(93*x**2)+(53*x**3)+(4*x**4)))/(x-1)**7))] }
-
-
-
-def A163275():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(64*x)+(424*x**2)+(584*x**3)+(179*x**4)+(8*x**5)))/(x-1)**8)] }
-
-
-
-def A163276():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(135*x)+(1656*x**2)+(4456*x**3)+(3231*x**4)+(585*x**5)+(16*x**6)))/(1-x)**9)] }
-
-
-
-def A163277():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(278*x)+(5913*x**2)+(27760*x**3)+(38435*x**4)+(16434*x**5)+(1867*x**6)+(32*x**7)))/(x-1)**10)] }
-
-
-
-def A163287():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A163290():
- x = SR.var('x')
- return { 'ogf': [((x**4+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A163303():
- x = SR.var('x')
- return { 'ogf': [((((67-(126*x))+(203*x**2))-(138*x**3))/(x-1)**4)] }
-
-
-
-def A163304():
- x = SR.var('x')
- return { 'ogf': [(((((858-(1151*x))+(6027*x**2))-(6093*x**3))+(383*x**4))/(1-x)**5)] }
-
-
-
-def A163305():
- x = SR.var('x')
- return { 'ogf': [((5*x**2)/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A163306():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(12*x))+(31*x**2)))] }
-
-
-
-def A163307():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(14*x))+(44*x**2)))] }
-
-
-
-def A163308():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(16*x))+(59*x**2)))] }
-
-
-
-def A163309():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(18*x))+(76*x**2)))] }
-
-
-
-def A163310():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(20*x))+(95*x**2)))] }
-
-
-
-def A163322():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((1-(14*x))+x**2))/(x-1)**4))] }
-
-
-
-def A163323():
- x = SR.var('x')
- return { 'ogf': [((4*((((-3)+(20*x))-(74*x**2)-(44*x**3))+(5*x**4)))/(x-1)**5)] }
-
-
-
-def A163346():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A163348():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A163349():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A163350():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A163383():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(8*x))+(8*x**2)))/((x-1)*((-1)+(2*x))**2))] }
-
-
-
-def A163403():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-(2*x**2)))] }
-
-
-
-def A163412():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(12*x))+(34*x**2)))] }
-
-
-
-def A163413():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(14*x))+(47*x**2)))] }
-
-
-
-def A163414():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(16*x))+(62*x**2)))] }
-
-
-
-def A163415():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(18*x))+(79*x**2)))] }
-
-
-
-def A163416():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(20*x))+(98*x**2)))] }
-
-
-
-def A163417():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(4*x**3))+x**4+(3*x)))/(((2*x**2)-1)*(1-x)**3))] }
-
-
-
-def A163433():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x**2-(5*x)-2))/(x-1)**3)] }
-
-
-
-def A163434():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1+(65*x)+(85*x**2))-(9*x**3))+(2*x**4)))/(1-x)**5)] }
-
-
-
-def A163435():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((51+(539*x)+(574*x**2)+(30*x**3)+(7*x**4))-x**5))/(1-x)**7)] }
-
-
-
-def A163444():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(12*x))+(34*x**2)))] }
-
-
-
-def A163445():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(14*x))+(47*x**2)))] }
-
-
-
-def A163446():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(16*x))+(62*x**2)))] }
-
-
-
-def A163447():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(18*x))+(79*x**2)))] }
-
-
-
-def A163448():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(20*x))+(98*x**2)))] }
-
-
-
-def A163458():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(12*x))+(34*x**2)))] }
-
-
-
-def A163459():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(14*x))+(47*x**2)))] }
-
-
-
-def A163460():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(16*x))+(62*x**2)))] }
-
-
-
-def A163461():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(18*x))+(79*x**2)))] }
-
-
-
-def A163462():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(20*x))+(98*x**2)))] }
-
-
-
-def A163470():
- x = SR.var('x')
- return { 'ogf': [((3-(9*x))/((1-(8*x))+(13*x**2)))] }
-
-
-
-def A163471():
- x = SR.var('x')
- return { 'ogf': [((3-(12*x))/((1-(10*x))+(22*x**2)))] }
-
-
-
-def A163472():
- x = SR.var('x')
- return { 'ogf': [((3-(15*x))/((1-(12*x))+(33*x**2)))] }
-
-
-
-def A163473():
- x = SR.var('x')
- return { 'ogf': [((3-(18*x))/((1-(14*x))+(46*x**2)))] }
-
-
-
-def A163474():
- x = SR.var('x')
- return { 'ogf': [((3-(21*x))/((1-(16*x))+(61*x**2)))] }
-
-
-
-def A163475():
- x = SR.var('x')
- return { 'ogf': [((3-(24*x))/((1-(18*x))+(78*x**2)))] }
-
-
-
-def A163476():
- x = SR.var('x')
- return { 'ogf': [((3-(27*x))/((1-(20*x))+(97*x**2)))] }
-
-
-
-def A163493():
- x = SR.var('x')
- return { 'ogf': [((1/2/(1-x))+((1+(2*x))/2/sqrt(((1-x)*(1-(2*x))*(1+x+(2*x**2))))))] }
-
-
-
-def A163495():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-1)-(2*x)-(2*x**2)-x**3)+x**4+(2*x**5)+x**6)-x**7-(3*x**8)-(4*x**9)-(3*x**10))+(3*x**12)+(3*x**13)))/((-1)+(3*x**15)))] }
-
-
-
-def A163522():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(4*x)+(5*x**2)+(9*x**3)+(9*x**4)))/((1-x)*(1+x)))] }
-
-
-
-def A163604():
- x = SR.var('x')
- return { 'ogf': [((3-(8*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A163605():
- x = SR.var('x')
- return { 'ogf': [((3-(11*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A163606():
- x = SR.var('x')
- return { 'ogf': [((3-(5*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A163607():
- x = SR.var('x')
- return { 'ogf': [((5-x)/(1-(2*x)-x**2))] }
-
-
-
-def A163608():
- x = SR.var('x')
- return { 'ogf': [((5-(6*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A163609():
- x = SR.var('x')
- return { 'ogf': [((5-(11*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A163610():
- x = SR.var('x')
- return { 'ogf': [((5-(16*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A163611():
- x = SR.var('x')
- return { 'ogf': [((5-(21*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A163613():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A163614():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A163615():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A163616():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A163655():
- x = SR.var('x')
- return { 'ogf': [((x*((10-(9*x))+(5*x**2)))/(x-1)**4)] }
-
-
-
-def A163661():
- x = SR.var('x')
- return { 'ogf': [((x*((12-(13*x))+(7*x**2)))/(x-1)**4)] }
-
-
-
-def A163662():
- x = SR.var('x')
- return { 'ogf': [((10*x)/(((100*x)-1)*(x-1)))] }
-
-
-
-def A163663():
- x = SR.var('x')
- return { 'ogf': [((100*x)/(((100*x)-1)*((10*x)-1)))] }
-
-
-
-def A163664():
- x = SR.var('x')
- return { 'ogf': [(-((10*x*((-11)+(200*x)))/(((100*x)-1)*((10*x)-1))))] }
-
-
-
-def A163673():
- x = SR.var('x')
- return { 'ogf': [((x*((11-(11*x))+(6*x**2)))/(x-1)**4)] }
-
-
-
-def A163675():
- x = SR.var('x')
- return { 'ogf': [((x*((13-(15*x))+(8*x**2)))/(x-1)**4)] }
-
-
-
-def A163683():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-7)-(8*x))+(3*x**2)))/(x-1)**4))] }
-
-
-
-def A163685():
- x = SR.var('x')
- return { 'ogf': [((x*((((-x**3)-x**4)+x**5)-x-1))/(((x**2-x)+1)*((x**2+x)-1)))] }
-
-
-
-def A163705():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((1+x)-x**2-(8*x**3))+(6*x**4)+(3*x**5))-(2*x**6)-(4*x**7)-(4*x**8))+(2*x**9)+(2*x**10)))/(((x**2+x)-1)*((x**4+(2*x))-1)*(x-1)**3)))] }
-
-
-
-def A163723():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+(3*x))-(2*x**2))+x**4)-x**3))/(((x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A163756():
- x = SR.var('x')
- return { 'ogf': [((14*x)/(1-x)**3)] }
-
-
-
-def A163758():
- x = SR.var('x')
- return { 'ogf': [((18*x)/(1-x)**3)] }
-
-
-
-def A163761():
- x = SR.var('x')
- return { 'ogf': [((20*x)/(1-x)**3)] }
-
-
-
-def A163803():
- x = SR.var('x')
- return { 'ogf': [((x**5+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A163804():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1+x+x**2))] }
-
-
-
-def A163805():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/(1+x**2))] }
-
-
-
-def A163806():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)+x**2))] }
-
-
-
-def A163810():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1-x)+x**2))] }
-
-
-
-def A163811():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+x**2)-x**3)+x**4)/(1+x**2+x**4))] }
-
-
-
-def A163812():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**4)/((((1-x)+x**2)-x**3)+x**4))] }
-
-
-
-def A163815():
- x = SR.var('x')
- return { 'ogf': [((2*x*(5+x))/(x-1)**4)] }
-
-
-
-def A163817():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+x**4)/(1+x**2+x**4))] }
-
-
-
-def A163818():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**4)/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A163827():
- x = SR.var('x')
- return { 'ogf': [(((-x**3)+(9*x**2)+(21*x)+7)/(x-1)**4)] }
-
-
-
-def A163832():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+x)*(x-4))/(x-1)**4))] }
-
-
-
-def A163833():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-13)-(7*x))+(2*x**2)))/(x-1)**4))] }
-
-
-
-def A163834():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/(((4*x)-1)*(x-1)))] }
-
-
-
-def A163839():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(16*x))*(1-(32*x))))] }
-
-
-
-def A163864():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)))/(1-(2*x**2)))] }
-
-
-
-def A163868():
- x = SR.var('x')
- return { 'ogf': [(-(((-4)+(15*x))/(((4*x)-1)*(x-1))))] }
-
-
-
-def A163869():
- x = SR.var('x')
- return { 'ogf': [(-(sqrt((x-1))/((5*x)-1)**(3/2)))] }
-
-
-
-def A163888():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(4*x)))/(1-(2*x**2)))] }
-
-
-
-def A163941():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(2*x))*(1-(3*x))**2))] }
-
-
-
-def A163942():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))**2))] }
-
-
-
-def A163943():
- x = SR.var('x')
- return { 'ogf': [((x*(((3+(2*x))-(3*x**2))+x**3))/(1-x)**5)] }
-
-
-
-def A163944():
- x = SR.var('x')
- return { 'ogf': [((x*((((4+(21*x))-(13*x**2))+x**3+(3*x**4))-x**5))/(1-x)**7)] }
-
-
-
-def A163978():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(4*x)))/(1-(2*x**2)))] }
-
-
-
-def A163979():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x+(5*x**4))-x**3)/((1+x+x**2)*(x-1)**3)))] }
-
-
-
-def A163989():
- x = SR.var('x')
- return { 'ogf': [(-((x*((18*x**3)+x**2+(26*x)+1)*(x**4+(4*x**2)+1))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A164001():
- x = SR.var('x')
- return { 'ogf': [(((-x)-1)+(((-x**2)-(2*x)-1)/((-1)+x**2+x**3)))] }
-
-
-
-def A164004():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**3-(3*x**2))+(5*x))-5))/(x-1)**3)] }
-
-
-
-def A164006():
- x = SR.var('x')
- return { 'ogf': [((x*((((((8*x**6)-(21*x**5))+(23*x**4))-(18*x**3))+(6*x**2)+(11*x))-11))/(x-1)**3)] }
-
-
-
-def A164015():
- x = SR.var('x')
- return { 'ogf': [(-((5*((x*(x+3))+1))/(x-1)**3))] }
-
-
-
-def A164021():
- x = SR.var('x')
- return { 'ogf': [((3-(14*x))/((1-(12*x))+(34*x**2)))] }
-
-
-
-def A164031():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A164033():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A164034():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A164035():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A164037():
- x = SR.var('x')
- return { 'ogf': [((5-(9*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A164038():
- x = SR.var('x')
- return { 'ogf': [((5-(19*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A164039():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(3*x))+x**2)/(((3*x)-1)*(x-1)**2)))] }
-
-
-
-def A164044():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(3*x))+x**2)/(((4*x)-1)*(x-1)**2)))] }
-
-
-
-def A164045():
- x = SR.var('x')
- return { 'ogf': [(-(((1-(3*x))+x**2)/(((5*x)-1)*(x-1)**2)))] }
-
-
-
-def A164051():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-5)+(12*x)))/(((4*x)-1)*((2*x)-1))))] }
-
-
-
-def A164053():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(2*x)))/((1-x-(2*x**2))+(2*x**3)))] }
-
-
-
-def A164055():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(25*x))+(10*x**2)))/((1-x)*((x**2-(34*x))+1)))] }
-
-
-
-def A164072():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A164073():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1-(2*x**2)))] }
-
-
-
-def A164090():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/(1-(2*x**2)))] }
-
-
-
-def A164093():
- x = SR.var('x')
- return { 'ogf': [((2*x*(19-(22*x)))/(((4*x)-1)*(x-1)))] }
-
-
-
-def A164094():
- x = SR.var('x')
- return { 'ogf': [((5-(7*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A164095():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(6*x)))/(1-(2*x**2)))] }
-
-
-
-def A164096():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(6*x)))/((1-x-(2*x**2))+(2*x**3)))] }
-
-
-
-def A164097():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)-(4*x)-(6*x**2))+x**4))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A164110():
- x = SR.var('x')
- return { 'ogf': [((5-(24*x))/((1-(12*x))+(34*x**2)))] }
-
-
-
-def A164115():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+x**4)/(1-x**4))] }
-
-
-
-def A164116():
- x = SR.var('x')
- return { 'ogf': [((1-x**4)/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A164117():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+x**2)-x**3)+x**4)/(1-x**4))] }
-
-
-
-def A164118():
- x = SR.var('x')
- return { 'ogf': [((1-x**4)/((((1-x)+x**2)-x**3)+x**4))] }
-
-
-
-def A164120():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(2*x)))/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A164123():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/((1-x)*(1-(3*x**2))))] }
-
-
-
-def A164131():
- x = SR.var('x')
- return { 'ogf': [((x*(8+(15*x)+(8*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A164135():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(33*x)+(7*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A164136():
- x = SR.var('x')
- return { 'ogf': [((22*x)/(1-x)**3)] }
-
-
-
-def A164146():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**4)-(2*x**3)-(2*x**2))+x+sqrt((((2*x)-1)*((2*x**2)-1)*(((2*x**2)-(2*x))+1))))/((x-1)*((2*x)-1)*((2*x**2)-1))))] }
-
-
-
-def A164265():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(3*x)))/((1-x)*(1-(3*x**2))))] }
-
-
-
-def A164284():
- x = SR.var('x')
- return { 'ogf': [((x*(8+(7*x)))/(x-1)**2)] }
-
-
-
-def A164285():
- x = SR.var('x')
- return { 'ogf': [((10-(13*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A164298():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A164299():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A164300():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A164301():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A164303():
- x = SR.var('x')
- return { 'ogf': [((3+(5*x))/(1-(2*x)-x**2))] }
-
-
-
-def A164304():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A164305():
- x = SR.var('x')
- return { 'ogf': [((3-x)/((1-(6*x))+(7*x**2)))] }
-
-
-
-def A164310():
- x = SR.var('x')
- return { 'ogf': [((4-(9*x))/((1-(6*x))+(6*x**2)))] }
-
-
-
-def A164311():
- x = SR.var('x')
- return { 'ogf': [((4-(21*x))/((1-(12*x))+(33*x**2)))] }
-
-
-
-def A164315():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((-6)-(3*x))+(2*x**2)+(4*x**3)))/((x-1)*((x**3+x**2)-1))))] }
-
-
-
-def A164316():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(5+(2*x)+(4*x**2)))/((-1)+x+x**3)))] }
-
-
-
-def A164317():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(5+(6*x)+(7*x**2)+(4*x**3)))/((-1)+x**3+x**4)))] }
-
-
-
-def A164346():
- x = SR.var('x')
- return { 'ogf': [(3/(1-(4*x)))] }
-
-
-
-def A164353():
- x = SR.var('x')
- return { 'ogf': [((x**7+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A164355():
- x = SR.var('x')
- return { 'ogf': [(1+((5*x)/(1-x)**2)+(x**2/(1+x**2)**2))] }
-
-
-
-def A164356():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(4/(1-x)))-(2/(1+x**2)))] }
-
-
-
-def A164357():
- x = SR.var('x')
- return { 'ogf': [(1+((x/2)*((9/((1-x)+x**2))-(1/(1+x+x**2)))))] }
-
-
-
-def A164358():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(3/(1-x)))-(1/(1+x**2)))] }
-
-
-
-def A164359():
- x = SR.var('x')
- return { 'ogf': [((-1)+((1/3)*((8/(1-x))-((2+x)/(1+x+x**2)))))] }
-
-
-
-def A164360():
- x = SR.var('x')
- return { 'ogf': [((5+(4*x)+(3*x**2))/((1-x)*(1+x+x**2)))] }
-
-
-
-def A164369():
- x = SR.var('x')
- return { 'ogf': [((x**7+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A164370():
- x = SR.var('x')
- return { 'ogf': [((x*(((800*x**4)-(99*x**2))+1))/(((10*x)-1)*((10*x**2)-1)))] }
-
-
-
-def A164387():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+(2*x**3)+x**4)/(1-x-x**2-x**4-x**5))] }
-
-
-
-def A164388():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-14)-(11*x)-(6*x**2))+(4*x**3)+(8*x**4)))/((1-x-x**2-x**3)+x**5)))] }
-
-
-
-def A164389():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(14+(11*x)+(20*x**2)+(8*x**3)))/((-1)+x+(2*x**3)+x**4)))] }
-
-
-
-def A164390():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(14+(11*x)+(5*x**2)+(10*x**3)+(4*x**4)+(8*x**5)))/((-1)+x+x**2+x**4+x**6)))] }
-
-
-
-def A164391():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-14)-(11*x)-(5*x**2))+(6*x**3)+(12*x**4)+(8*x**5)))/((x-1)*((x**5+(2*x**4)+(2*x**3)+x**2)-1))))] }
-
-
-
-def A164392():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-14)+(3*x)+(6*x**2))-(4*x**3))+(8*x**4)))/((x-1)*(1+x)*(((x**3-x**2)+(2*x))-1))))] }
-
-
-
-def A164393():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((14-(3*x)-(6*x**2)-(12*x**3))+(8*x**4)))/((x-1)*((x**4-x**3-x**2-x)+1))))] }
-
-
-
-def A164394():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*((7-(2*x))+(4*x**2)))/((((-1)+(2*x))-x**2)+x**3)))] }
-
-
-
-def A164395():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*((((-7)+(2*x))-(4*x**2))+(8*x**3)))/((x-1)*(((2*x**3)+x)-1))))] }
-
-
-
-def A164396():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-14)+(4*x)+(7*x**2))-(2*x**3)-(4*x**4))+(8*x**5)))/((x-1)*((x**5+x**2+x)-1))))] }
-
-
-
-def A164397():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((14-(4*x)-(7*x**2)-(14*x**3))+(4*x**4)+(8*x**5)))/((1+x+x**2)*((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A164398():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((-14)+(3*x)+(5*x**2)+(8*x**3)))/((x-1)*((x**3+x**2+x)-1))))] }
-
-
-
-def A164399():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-14)+(4*x))-(7*x**2))+(16*x**3)))/((x-1)*(((2*x**3)+x)-1))))] }
-
-
-
-def A164400():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((14-(4*x)-(7*x**2)-(12*x**3))+(8*x**4)))/((x-1)*((x**4-x**3-x**2-x)+1))))] }
-
-
-
-def A164401():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((14-(3*x))+(9*x**2)+(2*x**3)+(4*x**4)+(8*x**5)))/((((-1)+(2*x))-x**2)+x**3+x**6)))] }
-
-
-
-def A164402():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*((7-(2*x)-(4*x**2))+(8*x**3)))/((((-1)+(2*x))-(2*x**3))+(2*x**4))))] }
-
-
-
-def A164403():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((14-(3*x)-(5*x**2))+(4*x**3)+(8*x**4)))/((((-1)+(2*x))-x**3)+x**5)))] }
-
-
-
-def A164404():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((14-(4*x)-(7*x**2))+(16*x**3)))/((((-1)+(2*x))-(2*x**3))+(2*x**4))))] }
-
-
-
-def A164405():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((14-(4*x)-(7*x**2))+(2*x**3)+(4*x**4)+(8*x**5)))/((((-1)+(2*x))-x**3)+x**6)))] }
-
-
-
-def A164406():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-14)+(4*x))-(7*x**2))+(18*x**3)+(4*x**4)+(8*x**5)))/((x**3+x)-1)**2))] }
-
-
-
-def A164407():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(10*x)+(4*x**2)+(8*x**3)))/((1+x)*(((x**3-x**2)+(2*x))-1))))] }
-
-
-
-def A164408():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(10*x)-(4*x**2))+(8*x**3)))/((1-x-x**2-x**3)+x**4)))] }
-
-
-
-def A164409():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(4*x))+(8*x**2)))/((((-1)+(2*x))-x**2)+x**3)))] }
-
-
-
-def A164410():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(9*x)+(16*x**2)))/((-1)+x+(2*x**3))))] }
-
-
-
-def A164411():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(9*x)+(2*x**2)+(4*x**3)+(8*x**4)))/((-1)+x+x**2+x**5)))] }
-
-
-
-def A164412():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(9*x)-(2*x**2))+(12*x**3)+(8*x**4)))/((x-1)*(1+x+x**2)*((x**2+x)-1))))] }
-
-
-
-def A164414():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(9*x)+(15*x**2)))/((-1)+x+(2*x**3))))] }
-
-
-
-def A164415():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(9*x)-(3*x**2))+(8*x**3)))/((1-x-x**2-x**3)+x**4)))] }
-
-
-
-def A164416():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(23*x)+(27*x**2)+(20*x**3)+(8*x**4)))/((-1)+x**2+(2*x**3)+(2*x**4)+x**5)))] }
-
-
-
-def A164417():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(9*x)-(4*x**2)-(9*x**3)-(2*x**4))+(12*x**5)+(8*x**6)))/((1-x-x**2-x**4-x**5)+x**6+x**7)))] }
-
-
-
-def A164418():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(9*x)+(16*x**2)+(15*x**3)+(14*x**4)+(12*x**5)+(8*x**6)))/(((x**2-x)+1)*((x**5+(2*x**4)+(2*x**3)+x**2)-1))))] }
-
-
-
-def A164419():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((13+(8*x))-x**2)+(14*x**3)+(12*x**4)+(8*x**5)))/((((-1)+x+x**2)-x**3)+x**4+x**5+x**6)))] }
-
-
-
-def A164420():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(8*x))+x**2+(2*x**3)+(4*x**4)+(8*x**5)))/((x-1)*((x**5+x**4+x**3+x**2)-1))))] }
-
-
-
-def A164421():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(9*x)+(3*x**2)+(5*x**3)+(8*x**4)))/((-1)+x+x**2+x**5)))] }
-
-
-
-def A164422():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(8*x)+(14*x**2)+(12*x**3)+(8*x**4)))/((-1)+x+x**3+x**4+x**5)))] }
-
-
-
-def A164423():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(8*x)+x**2+(3*x**3)+(6*x**4)+(12*x**5)+(8*x**6)))/((-1)+x+x**2+x**6+x**7)))] }
-
-
-
-def A164424():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x))-(4*x**2)-(6*x**3))+(4*x**4)+(8*x**5)))/((x-1)*((x**5+x**4+x)-1))))] }
-
-
-
-def A164425():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(9*x)+(15*x**2)+(12*x**3)+(8*x**4)))/((-1)+x+x**3+x**4+x**5)))] }
-
-
-
-def A164426():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(8*x)-(13*x**2))+(7*x**3)+(14*x**4)+(12*x**5)+(8*x**6)))/(((x**3+x)-1)*((x**4+x**3)-1))))] }
-
-
-
-def A164427():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(9*x)-(2*x**2)-(4*x**3))+(8*x**4)))/((1-x-x**2-x**4)+x**5)))] }
-
-
-
-def A164428():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2+1)*(x**4-x**3-1))/((x**5-x**4-x**2-x)+1)))] }
-
-
-
-def A164429():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x))-(4*x**2))+(8*x**3)))/((x-1)*((x**3+x)-1))))] }
-
-
-
-def A164430():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(8*x)-(2*x**2))+(8*x**3)+(14*x**4)+(12*x**5)+(8*x**6)))/((1-x-x**2-x**3)+x**5+x**6+x**7)))] }
-
-
-
-def A164431():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(5*x))+(5*x**2))-(6*x**3))+(4*x**4)+(8*x**5)))/(((x**2+x)-1)*((((x**4-x**3)+x**2)-x)+1))))] }
-
-
-
-def A164432():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(8*x)+(13*x**2)+(10*x**3)+(4*x**4)+(8*x**5)))/((-1)+x+x**3+x**4+x**6)))] }
-
-
-
-def A164433():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(8*x)-(13*x**2))+(6*x**3)+(12*x**4)+(8*x**5)))/((x-1)*((x**5+(2*x**4)+(2*x**3))-1))))] }
-
-
-
-def A164436():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(8*x)-(12*x**2))+(7*x**3)+(13*x**4)+(8*x**5)))/((x-1)*((x**5+(2*x**4)+(2*x**3))-1))))] }
-
-
-
-def A164437():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(22*x)+(37*x**2)+(36*x**3)+(21*x**4)+(8*x**5)))/((-1)+(2*x**3)+(3*x**4)+(2*x**5)+x**6)))] }
-
-
-
-def A164438():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(8*x))+(2*x**2)+(4*x**3)+(8*x**4)))/((x-1)*(1+x)*((x**3+x)-1))))] }
-
-
-
-def A164439():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((13+(8*x)+(14*x**3))-(3*x**4))+(8*x**5)))/((((((-1)+x+x**2)-x**3)+(2*x**4))-x**5)+x**6)))] }
-
-
-
-def A164440():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(4*x))+(6*x**2))-(3*x**3))+(8*x**4)))/((((((-1)+(2*x))-x**2)+x**3)-x**4)+x**5)))] }
-
-
-
-def A164441():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(22*x)+(23*x**2)+(24*x**3)+(13*x**4)+(8*x**5)))/((-1)+x**2+x**3+(2*x**4)+x**5+x**6)))] }
-
-
-
-def A164442():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(8*x))+x**2+(3*x**3)+(5*x**4)+(8*x**5)))/((x-1)*((x**5+x**4+x**3+x**2)-1))))] }
-
-
-
-def A164443():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(9*x)-(2*x**2))+(8*x**3)+(13*x**4)+(8*x**5)))/((x-1)*((x**5+(2*x**4)+(2*x**3)+x**2)-1))))] }
-
-
-
-def A164444():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((13+(8*x))-(2*x**2))+(8*x**3)))/((((-1)+x+x**2)-x**3)+x**4)))] }
-
-
-
-def A164445():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(9*x)-(3*x**2)-(6*x**3))+(4*x**4)+(8*x**5)))/((1-x-x**2-x**4)+x**6)))] }
-
-
-
-def A164446():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((((-13)+(4*x))-(6*x**2))+(3*x**3)+(6*x**4))-(4*x**5))+(8*x**6)))/((x-1)*((x**6+x**4+x**3+x)-1))))] }
-
-
-
-def A164447():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x)+(9*x**2))-(14*x**3))+(4*x**4)+(8*x**5)))/((x-1)*(1+x)*((x**2-x)+1)*((x**2+x)-1))))] }
-
-
-
-def A164448():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(5*x)-(9*x**2)-(2*x**3)-(4*x**4))+(8*x**5)))/((1+x)*((x**3+x)-1)*(x-1)**2)))] }
-
-
-
-def A164449():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x))-(5*x**2))+(4*x**3)+(8*x**4)))/((x-1)*(x**2+1)*((x**2+x)-1))))] }
-
-
-
-def A164450():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x)+(9*x**2))-(11*x**3))+(8*x**4)))/((x-1)*(((x**4-x**3)+x**2+x)-1))))] }
-
-
-
-def A164451():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x)+(8*x**2))-x**3-(2*x**4)-(4*x**5))+(8*x**6)))/((x-1)*(1+x)*(((((x**5-x**4)+x**3)-x**2)+(2*x))-1))))] }
-
-
-
-def A164452():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(18*x))+(8*x**2)+(2*x**3))-(12*x**4))+(8*x**5)))/(((x**4+x)-1)*(x-1)**2)))] }
-
-
-
-def A164453():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(5*x))+(6*x**2))-(4*x**3))+(8*x**4)))/((((((-1)+(2*x))-x**2)+x**3)-x**4)+x**5)))] }
-
-
-
-def A164454():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((((13-(5*x))+(5*x**2))-(21*x**3))+(6*x**4))-(4*x**5))+(8*x**6)))/((1+x+x**2)*((x**3+x)-1)*(x-1)**2)))] }
-
-
-
-def A164455():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(4*x)-(8*x**2)-(16*x**3))+(16*x**4)))/((((2*x**3)+x**2)-1)*(x-1)**2)))] }
-
-
-
-def A164456():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(4*x)-(7*x**2)-(11*x**3))+(8*x**4)))/((x-1)*((x**4-x**3-x**2-x)+1))))] }
-
-
-
-def A164457():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(5*x))+(4*x**2))-(19*x**3))+(8*x**4)))/((x-1)*((x**4-(2*x**3)-x)+1))))] }
-
-
-
-def A164458():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(5*x)-(10*x**2)-(4*x**3))+(8*x**4)))/(((x**3+x**2)-1)*(x-1)**2)))] }
-
-
-
-def A164459():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(5*x)-(7*x**2)-(12*x**3))+(6*x**4))-(4*x**5))+(8*x**6)))/(((x**5+x**4+(2*x**3)+x**2)-1)*(x-1)**2)))] }
-
-
-
-def A164460():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x)+(9*x**2)+(3*x**3))-(10*x**4)-(4*x**5))+(8*x**6)))/((x-1)*(((x**6-x**4)+x**2+x)-1))))] }
-
-
-
-def A164461():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(8*x))+x**2+(16*x**3)))/((x-1)*(((2*x**3)+x**2)-1))))] }
-
-
-
-def A164462():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(6*x))-(6*x**2))+(4*x**3)+(8*x**4)))/((x-1)*(x**2+1)*((x**2+x)-1))))] }
-
-
-
-def A164463():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(6*x))+(4*x**2)+(8*x**3)))/(((x**2-x)+1)*((x**2+x)-1))))] }
-
-
-
-def A164464():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(6*x))-(4*x**2))+(8*x**3)))/((x-1)*((x**3+x)-1))))] }
-
-
-
-def A164465():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((((-13)+(5*x))-(6*x**2))+(3*x**3)+(5*x**4))-(4*x**5))+(8*x**6)))/((x-1)*((x**6+x**4+x**3+x)-1))))] }
-
-
-
-def A164466():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(6*x))-(3*x**2)-(4*x**3))+(8*x**4)))/((x-1)*((x**4+x)-1))))] }
-
-
-
-def A164467():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(6*x)+(9*x**2))-(12*x**3))+(8*x**4)))/((x-1)*(((x**4-x**3)+x**2+x)-1))))] }
-
-
-
-def A164468():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(6*x))-(3*x**2))+(8*x**3)))/((x-1)*((x**3+x)-1))))] }
-
-
-
-def A164469():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((((-13)+(6*x))-(5*x**2))+(6*x**3))-(4*x**4))+(8*x**5)))/((x-1)*((x**5+x**3+x)-1))))] }
-
-
-
-def A164470():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(6*x))+(5*x**2))-(22*x**3))+(4*x**4)+(8*x**5)))/(((x**4+(2*x**3))-1)*(x-1)**2)))] }
-
-
-
-def A164471():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x))-(6*x**2))+(16*x**3)))/((x-1)*(((2*x**3)+x)-1))))] }
-
-
-
-def A164472():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(9*x)-(15*x**2))+(2*x**3)+(4*x**4)+(8*x**5)))/((1-x-(2*x**3))+x**6)))] }
-
-
-
-def A164473():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((((-13)+(5*x))-(5*x**2))+(7*x**3))-(2*x**4)-(4*x**5))+(8*x**6)))/((x-1)*((x**6+x**3+x)-1))))] }
-
-
-
-def A164474():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(6*x))+(4*x**2))-(20*x**3))+(8*x**4)))/((x-1)*((x**4-(2*x**3)-x)+1))))] }
-
-
-
-def A164475():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(7*x)-(10*x**2))+(12*x**3)+(8*x**4)))/((x-1)*((x**4+(2*x**3))-1))))] }
-
-
-
-def A164476():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(6*x)-(10*x**2)-(4*x**3))+(8*x**4)))/(((x**3+x**2)-1)*(x-1)**2)))] }
-
-
-
-def A164477():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x)+(7*x**2))-(2*x**3)-(3*x**4))+(8*x**5)))/((x-1)*((x**5+x**2+x)-1))))] }
-
-
-
-def A164478():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((((-13)+(6*x))-(4*x**2))+(6*x**3))-(4*x**4))+(8*x**5)))/((x-1)*((x**5+x**3+x)-1))))] }
-
-
-
-def A164479():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x)+(8*x**2)+x**3)-(11*x**4))+(8*x**5)))/((x-1)*(((x**5-x**4)+x**2+x)-1))))] }
-
-
-
-def A164481():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x)+(8*x**2)+(2*x**3))-(12*x**4))+(8*x**5)))/((x-1)*(((x**5-x**4)+x**2+x)-1))))] }
-
-
-
-def A164482():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((-13)-(7*x))+(4*x**2)+(8*x**3)))/((x-1)*((x**3+x**2)-1))))] }
-
-
-
-def A164483():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(6*x))+(3*x**2))-(22*x**3))+(5*x**4)+(8*x**5)))/(((x**4+(2*x**3))-1)*(x-1)**2)))] }
-
-
-
-def A164484():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(6*x)-(9*x**2)-(14*x**3))+(17*x**4)))/((((2*x**3)+x**2)-1)*(x-1)**2)))] }
-
-
-
-def A164485():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((-13)+(5*x)+(9*x**2)))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A164486():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(6*x)-(12*x**2))+(8*x**3)))/((1+x)*(x-1)**3)))] }
-
-
-
-def A164487():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(19*x))+(9*x**2))-(12*x**3))+(8*x**4)))/(((x**3+x)-1)*(x-1)**2)))] }
-
-
-
-def A164488():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((((-13)+(5*x))-(4*x**2))+(6*x**3))-(2*x**4)-(4*x**5))+(8*x**6)))/((x-1)*((x**6+x**3+x)-1))))] }
-
-
-
-def A164489():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(6*x)+(10*x**2)+(2*x**3))-(11*x**4)-(4*x**5))+(8*x**6)))/((x-1)*(((x**6-x**4)+x**2+x)-1))))] }
-
-
-
-def A164490():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x)+(10*x**2))-(12*x**3))+(8*x**4)))/((x-1)*(((x**4-x**3)+x**2+x)-1))))] }
-
-
-
-def A164491():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(10*x)+(4*x**2)+(7*x**3)+(12*x**4)+(8*x**5)))/((-1)+x+x**2+x**5+x**6)))] }
-
-
-
-def A164492():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(5*x))+(5*x**2)+(9*x**3)+(2*x**4)+(4*x**5)+(8*x**6)))/((((-1)+(2*x))-x**2)+x**4+x**7)))] }
-
-
-
-def A164493():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(4*x))+(7*x**2))-(2*x**3))+(10*x**4)+(4*x**5)+(8*x**6)))/((((((-1)+(2*x))-x**2)+x**3)-x**4)+x**5+x**7)))] }
-
-
-
-def A164494():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(3*x))+(7*x**2)))/((((-1)+(2*x))-x**2)+x**3)))] }
-
-
-
-def A164495():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(4*x))+(6*x**2)+(10*x**3)+(5*x**4)+(8*x**5)))/((((-1)+(2*x))-x**2)+x**4+x**6)))] }
-
-
-
-def A164496():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(5*x)-(7*x**2))+(14*x**3))-(4*x**4))+(8*x**5)))/((((((-1)+(2*x))-(2*x**3))+(2*x**4))-x**5)+x**6)))] }
-
-
-
-def A164497():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(5*x)-(8*x**2))+(12*x**3)+(8*x**4)))/(((x**2+x)-1)*((x**3-x)+1))))] }
-
-
-
-def A164498():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(5*x)-(9*x**2))+(13*x**3))-(6*x**4))+(4*x**5)+(8*x**6)))/(((x**2+x)-1)*((((x**5-x**4)+x**3)-x)+1))))] }
-
-
-
-def A164499():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(18*x))-(9*x**2)-(2*x**3)-(4*x**4))+(8*x**5)))/((x-1)*(((x**5-x**2)+(2*x))-1))))] }
-
-
-
-def A164500():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(5*x))+(7*x**2))-(4*x**3))+(8*x**4)))/((((((-1)+(2*x))-x**2)+x**3)-x**4)+x**5)))] }
-
-
-
-def A164501():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(4*x)-(7*x**2))+x**3+(3*x**4)+(4*x**5)+(8*x**6)))/((((-1)+(2*x))-x**3)+x**7)))] }
-
-
-
-def A164502():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((13-(6*x)-(9*x**2))+(12*x**3)+(5*x**4)+(8*x**5)))/((((-1)+(2*x))-(2*x**3))+x**4+x**6)))] }
-
-
-
-def A164503():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(5*x))-(5*x**2))+(5*x**3)+(10*x**4)+(4*x**5)+(8*x**6)))/(((x**3+x)-1)*((x**4+x)-1))))] }
-
-
-
-def A164504():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(4*x))-(5*x**2))+(18*x**3)+(5*x**4)+(8*x**5)))/((x**3+x)-1)**2))] }
-
-
-
-def A164505():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(6*x))-(4*x**2))+(20*x**3)+(5*x**4)+(8*x**5)))/((x**3+x)-1)**2))] }
-
-
-
-def A164506():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(4*x)+(7*x**2))-(14*x**3))+(15*x**4)))/((x-1)*((((2*x**4)-x**3)+x**2+x)-1))))] }
-
-
-
-def A164507():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((-13)+(4*x)+(7*x**2))-(2*x**3))+(11*x**4)+(4*x**5)+(8*x**6)))/((((1-(2*x))+x**3)-x**4)+x**5+x**7)))] }
-
-
-
-def A164508():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((13-(6*x))+(6*x**2)+(10*x**3))-(12*x**4))+(8*x**5)))/((((((-1)+(2*x))-x**2)+(2*x**4))-(2*x**5))+x**6)))] }
-
-
-
-def A164509():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(13+(9*x)+(16*x**2)+(14*x**3)+(12*x**4)+(8*x**5)))/((-1)+x+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A164532():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(1-(6*x**2)))] }
-
-
-
-def A164535():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A164536():
- x = SR.var('x')
- return { 'ogf': [((3-(7*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A164537():
- x = SR.var('x')
- return { 'ogf': [((5-(12*x))/((1-(8*x))+(14*x**2)))] }
-
-
-
-def A164538():
- x = SR.var('x')
- return { 'ogf': [((5-(17*x))/((1-(10*x))+(23*x**2)))] }
-
-
-
-def A164539():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x))/(1-(2*x)-(7*x**2)))] }
-
-
-
-def A164540():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A164542():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1-(8*x))+(8*x**2)))] }
-
-
-
-def A164543():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A164544():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/(1-(2*x)-(7*x**2)))] }
-
-
-
-def A164545():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A164546():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(8*x))+(8*x**2)))] }
-
-
-
-def A164547():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A164549():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(4*x)-(2*x**2)))] }
-
-
-
-def A164550():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(6*x))+(3*x**2)))] }
-
-
-
-def A164551():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(10*x))+(19*x**2)))] }
-
-
-
-def A164552():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(12*x))+(30*x**2)))] }
-
-
-
-def A164553():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(14*x))+(43*x**2)))] }
-
-
-
-def A164559():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/((1-x)*(1-(6*x))))] }
-
-
-
-def A164560():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/((1-x)*(1-(6*x**2))))] }
-
-
-
-def A164576():
- x = SR.var('x')
- return { 'ogf': [((-(x*(1+(10*x)+(7*x**2)+(6*x**3))))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A164577():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(11*x)+(13*x**2)+(17*x**3)+(34*x**4)+(11*x**5)+(6*x**6)+(3*x**7)))/((1+x+x**2)**3*(x-1)**4))] }
-
-
-
-def A164578():
- x = SR.var('x')
- return { 'ogf': [(((-10)-(13*x)-(22*x**2)-(3*x**3))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A164579():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(50*x)+(25*x**2)+(99*x**3)+(132*x**4)+(23*x**5)+(39*x**6)+(10*x**7)))/((1+x+x**2)**3*(x-1)**4))] }
-
-
-
-def A164581():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(5*x)-x**2))] }
-
-
-
-def A164582():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(7*x)))/((1-(5*x))+x**2))] }
-
-
-
-def A164583():
- x = SR.var('x')
- return { 'ogf': [((1+(24*x)+(16*x**2))/(1-(4*x))**3)] }
-
-
-
-def A164586():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(2*x**2)-x**3-sqrt(((1-(4*x**2)-(10*x**3)-(4*x**4))+x**6)))/(2*x*((x**4+(3*x**3)+(4*x**2)+x)-1)))] }
-
-
-
-def A164587():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)))/(1-(2*x**2)))] }
-
-
-
-def A164588():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A164589():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(2*x)-(7*x**2)))] }
-
-
-
-def A164591():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(8*x))+(8*x**2)))] }
-
-
-
-def A164592():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A164593():
- x = SR.var('x')
- return { 'ogf': [((5+(2*x))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A164594():
- x = SR.var('x')
- return { 'ogf': [((5-(8*x))/((1-(8*x))+(8*x**2)))] }
-
-
-
-def A164595():
- x = SR.var('x')
- return { 'ogf': [((5-(13*x))/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A164598():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-(12*x))+(34*x**2)))] }
-
-
-
-def A164599():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(14*x))+(47*x**2)))] }
-
-
-
-def A164600():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(18*x))+(79*x**2)))] }
-
-
-
-def A164602():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x))/(1-(2*x)-(7*x**2)))] }
-
-
-
-def A164603():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A164604():
- x = SR.var('x')
- return { 'ogf': [((1+(13*x))/((1-(6*x))+x**2))] }
-
-
-
-def A164605():
- x = SR.var('x')
- return { 'ogf': [((1+(12*x))/((1-(8*x))+(8*x**2)))] }
-
-
-
-def A164606():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x))/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A164607():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A164609():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(10*x))+(17*x**2)))] }
-
-
-
-def A164611():
- x = SR.var('x')
- return { 'ogf': [(((1+x+(2*x**2))-x**3)/((1-x)+x**2)**2)] }
-
-
-
-def A164619():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**14+x**13+(16*x**12)+(10*x**11)+(47*x**10))-(22*x**9))+(61*x**8)+(10*x**7)+(88*x**6)+(8*x**5)+(43*x**4))-(14*x**3))+(28*x**2)+(7*x)+4))/((x-1)**4*(x+1)**3*((x**2-x)+1)**3*(x**2+x+1)**2))] }
-
-
-
-def A164640():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)))/(1-(8*x**2)))] }
-
-
-
-def A164651():
- x = SR.var('x')
- return { 'ogf': [((((3*x**2)-(9*x))+2+(x*(1-x)*sqrt((1-(4*x)))))/(2*(x-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A164654():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(8*x)))/(1-(2*x**2)))] }
-
-
-
-def A164675():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)))/(1-(8*x**2)))] }
-
-
-
-def A164681():
- x = SR.var('x')
- return { 'ogf': [((x**7+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A164682():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(8*x)))/(1-(2*x**2)))] }
-
-
-
-def A164683():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)))/(1-(8*x**2)))] }
-
-
-
-def A164697():
- x = SR.var('x')
- return { 'ogf': [((x**8+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A164703():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)))/(1-(8*x**2)))] }
-
-
-
-def A164737():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(12*x)))/(1-(8*x**2)))] }
-
-
-
-def A164783():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(35*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A164784():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(24*x)))/((1-(7*x))+(6*x**2)))] }
-
-
-
-def A164785():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)))/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A164786():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(48*x)))/((1-(9*x))+(8*x**2)))] }
-
-
-
-def A164826():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-(12*x**2))+x+2))/((x**4-(12*x**2))+1))] }
-
-
-
-def A164827():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/(1-x-(10*x**2)))] }
-
-
-
-def A164828():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+(109*x**3))-(10*x**4)))/((1+x**2)*((1-(12*x**2))+x**4)))] }
-
-
-
-def A164845():
- x = SR.var('x')
- return { 'ogf': [(((3-x)+x**2)/(x-1)**4)] }
-
-
-
-def A164863():
- x = SR.var('x')
- return { 'ogf': [((((((((((16687*x**8)-(67113*x**7))+(88620*x**6))-(56993*x**5))+(20529*x**4))-(4353*x**3))+(539*x**2))-(36*x))+1)/(((9*x)-1)*((7*x)-1)*((6*x)-1)*((5*x)-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*(x-1)))] }
-
-
-
-def A164864():
- x = SR.var('x')
- return { 'ogf': [(((((((((((148329*x**9)-(613453*x**8))+(855652*x**7))-(596229*x**6))+(240065*x**5))-(59410*x**4))+(9177*x**3))-(862*x**2))+(45*x))-1)/(((10*x)-1)*((8*x)-1)*((7*x)-1)*((6*x)-1)*((5*x)-1)*((4*x)-1)*((3*x)-1)*((2*x)-1)*(x-1)))] }
-
-
-
-def A164870():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1)**2)/((((-1)+(6*x))-(10*x**2))+(6*x**3))))] }
-
-
-
-def A164871():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(13*x))+(63*x**2))-(148*x**3))+(177*x**4))-(98*x**5))+(18*x**6))/((((((1-(14*x))+(75*x**2))-(201*x**3))+(288*x**4))-(216*x**5))+(72*x**6)))] }
-
-
-
-def A164872():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((1584*x**11)-(14016*x**10))+(45432*x**9))-(79454*x**8))+(86562*x**7))-(62624*x**6))+(30887*x**5))-(10411*x**4))+(2352*x**3))-(339*x**2))+(28*x))-1)/((((((((((((7920*x**11)-(40116*x**10))+(96324*x**9))-(139728*x**8))+(133468*x**7))-(87278*x**6))+(39670*x**5))-(12495*x**4))+(2666*x**3))-(366*x**2))+(29*x))-1))] }
-
-
-
-def A164873():
- x = SR.var('x')
- return { 'ogf': [(((((((((((-1)-(244911168*x**14))+(51*x)+(424049816*x**13)+(16848*x**3))-(1189*x**2)-(162623*x**4))+(1135115*x**5))-(5933360*x**6))+(93180816*x**15)+(176551085*x**9)+(475936304*x**11)+(23718538*x**7))-(330046233*x**10))+(1620000*x**17))-(73376545*x**8)-(20032128*x**16)-(521745326*x**12))/((((((((((((((((((9720000*x**17)-(68563152*x**16))+(235662840*x**15))-(511522200*x**14))+(774005724*x**13))-(859429792*x**12))+(721925168*x**11))-(467470314*x**10))+(235918701*x**9))-(93247962*x**8))+(28849981*x**7))-(6944099*x**6))+(1283865*x**5))-(178422*x**4))+(17989*x**3))-(1239*x**2))+(52*x))-1))] }
-
-
-
-def A164897():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x)+(3*x**2))/(1-x)**3),
-((3+(2*x)+(3*x**2))/(1-x)**3)] }
-
-
-
-def A164900():
- x = SR.var('x')
- return { 'ogf': [(((-3)-(3*x)-(2*x**2)-(3*x**4)-x**5)/((x-1)**3*(1+x)**3))] }
-
-
-
-def A164904():
- x = SR.var('x')
- return { 'ogf': [(((((((((((148329*x**17)-(403200*x**16)-(210253*x**15))+(732960*x**14)+(122692*x**13))-(557864*x**12)-(38365*x**11))+(233100*x**10)+(6965*x**9))-(58674*x**8)-(736*x**7))+(9135*x**6)+(42*x**5))-(861*x**4)-x**3)+(45*x**2))-1)/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1)*((3*x**2)-1)*((5*x**2)-1)*((6*x**2)-1)*((7*x**2)-1)*((8*x**2)-1)*((10*x**2)-1)))] }
-
-
-
-def A164906():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1+(2*x))*(1-(2*x))))] }
-
-
-
-def A164907():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1+x)*(1-(3*x))))] }
-
-
-
-def A164908():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(4*x)))] }
-
-
-
-def A164916():
- x = SR.var('x')
- return { 'ogf': [((((1-(8*x)-(20*x**2)-(24*x**3))+(112*x**4))-(128*x**5)-(192*x**6)-(128*x**7))/(1-(16*x**4))**2)] }
-
-
-
-def A164933():
- x = SR.var('x')
- return { 'ogf': [((((((((((403200*x**9)-(478089*x**8))+(35157*x**7)+(202072*x**6))-(136061*x**5))+(42574*x**4))-(7538*x**3))+(774*x**2))-(43*x))+1)/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((10*x)-1)))] }
-
-
-
-def A164938():
- x = SR.var('x')
- return { 'ogf': [((3*(x**3+(2*x**2)+x))/(x-1)**6)] }
-
-
-
-def A164965():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1-x)*(1+x**3)))] }
-
-
-
-def A164985():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(27*x**2)+(243*x**3)+(486*x**4)+(729*x**5))/(1-(81*x**3))**2)] }
-
-
-
-def A164990():
- x = SR.var('x')
- return { 'ogf': [(((x*(1-x)**2)/(1-(2*x))**2)-(x**3/(1-(2*x))/sqrt((1-(4*x**2)))))] }
-
-
-
-def A165130():
- x = SR.var('x')
- return { 'ogf': [((x*(31-(28*x)))/((1-x)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A165133():
- x = SR.var('x')
- return { 'ogf': [((3*((10-(39*x))+(28*x**2)))/((1-x)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A165147():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(3*x))*(1-(7*x))))] }
-
-
-
-def A165148():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))*(1-(8*x))))] }
-
-
-
-def A165149():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(5*x))*(1-(9*x))))] }
-
-
-
-def A165150():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(6*x))*(1-(10*x))))] }
-
-
-
-def A165151():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(7*x))*(1-(11*x))))] }
-
-
-
-def A165152():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(8*x))*(1-(12*x))))] }
-
-
-
-def A165157():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-x**2-x**3))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A165187():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(17*x)+(33*x**2)+(9*x**3)))/(x-1)**7))] }
-
-
-
-def A165188():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**4*(1+x)**3*(1+x+x**2))),
-(x/((1-x**2)**3*(1-x**3)))] }
-
-
-
-def A165189():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)**5*(1+x)**3*((1-x)+x**2)*(1+x+x**2)))] }
-
-
-
-def A165190():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**4)*(1-x**5)))] }
-
-
-
-def A165192():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1-x)+x**3))] }
-
-
-
-def A165201():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x)-(2*x**2))+((1-x)*sqrt((1-(4*x)))))/(2*(1-(4*x)-x**2)))] }
-
-
-
-def A165206():
- x = SR.var('x')
- return { 'ogf': [((((1-(9*x))+(4*x**2))-x**3)/((1-(3*x))+x**2)**2)] }
-
-
-
-def A165207():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(2*x**2)))/((1-x)*(1+x**2)))] }
-
-
-
-def A165220():
- x = SR.var('x')
- return { 'ogf': [((x*(91+(250*x)+(43*x**2)))/(1-x)**4)] }
-
-
-
-def A165222():
- x = SR.var('x')
- return { 'ogf': [(((34-(139*x))+(108*x**2))/((1-x)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A165224():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(49*x**2)))] }
-
-
-
-def A165225():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(10*x))+(5*x**2)))] }
-
-
-
-def A165229():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(12*x))+(6*x**2)))] }
-
-
-
-def A165230():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(14*x))+(7*x**2)))] }
-
-
-
-def A165231():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(16*x))+(8*x**2)))] }
-
-
-
-def A165232():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(18*x))+(9*x**2)))] }
-
-
-
-def A165246():
- x = SR.var('x')
- return { 'ogf': [(-((x*((60*x)-7))/((x-1)*((10*x)-1))))] }
-
-
-
-def A165247():
- x = SR.var('x')
- return { 'ogf': [((x*(9-(80*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A165259():
- x = SR.var('x')
- return { 'ogf': [((1-(36*x))/((1-(16*x))*(1-(81*x))))] }
-
-
-
-def A165281():
- x = SR.var('x')
- return { 'ogf': [(((((251-(1274*x))+(2616*x**2))-(2774*x**3))+(1901*x**4))/(x-1)**6)] }
-
-
-
-def A165283():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x))/(1-(16*x))**2)] }
-
-
-
-def A165310():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(7*x))+(9*x**2)))] }
-
-
-
-def A165311():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(9*x))+(16*x**2)))] }
-
-
-
-def A165312():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1-(11*x))+(25*x**2)))] }
-
-
-
-def A165314():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(13*x))+(36*x**2)))] }
-
-
-
-def A165322():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x))/((1-(15*x))+(49*x**2)))] }
-
-
-
-def A165323():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(17*x))+(64*x**2)))] }
-
-
-
-def A165324():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x))/((1-(19*x))+(81*x**2)))] }
-
-
-
-def A165326():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1+x))] }
-
-
-
-def A165351():
- x = SR.var('x')
- return { 'ogf': [((3*(1+x+x**2)*x)/((x-1)**2*(1+x)**2))] }
-
-
-
-def A165355():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(5*x**2)+x**3)/((x-1)**2*(1+x)**2))] }
-
-
-
-def A165367():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(2*x**2)+x**3)/((1-x)**2*(1+x)**2))] }
-
-
-
-def A165402():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A165405():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1+x)-(6*x**2)))] }
-
-
-
-def A165443():
- x = SR.var('x')
- return { 'ogf': [((1-(16*81*x))/((1-(16**2*x))*(1-(81**2*x))))] }
-
-
-
-def A165458():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1+x)-(12*x**2)))] }
-
-
-
-def A165470():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1+x)-(20*x**2)))] }
-
-
-
-def A165491():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1+x)-(30*x**2)))] }
-
-
-
-def A165505():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1+x)-(42*x**2)))] }
-
-
-
-def A165506():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/((1+x)-(56*x**2)))] }
-
-
-
-def A165516():
- x = SR.var('x')
- return { 'ogf': [((x*(((4+(60*x))-(95*x**2))+x**4))/((1-x)*((1-(10*x))+x**2)*(1+(10*x)+x**2)))] }
-
-
-
-def A165517():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+x**2)-(9*x)-5))/((x-1)*((x**4-(10*x**2))+1)))] }
-
-
-
-def A165518():
- x = SR.var('x')
- return { 'ogf': [((4*x*((x**2-(34*x))+25))/((1-x)*((x**2-(34*x))+1)))] }
-
-
-
-def A165521():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**3*(((1-(3*x))+(2*x**2))-x**3))/(((((((1-(7*x))+(19*x**2))-(28*x**3))+(23*x**4))-(12*x**5))+(4*x**6))-x**7))] }
-
-
-
-def A165522():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**4*(((1-(3*x))+(2*x**2))-x**3)**2*(((((((1-(7*x))+(19*x**2))-(28*x**3))+(23*x**4))-(12*x**5))+(4*x**6))-x**7))/((((((((((((((((((x**18-(10*x**17))+(61*x**16))-(273*x**15))+(957*x**14))-(2697*x**13))+(6189*x**12))-(11622*x**11))+(17876*x**10))-(22474*x**9))+(22992*x**8))-(18999*x**7))+(12536*x**6))-(6488*x**5))+(2564*x**4))-(743*x**3))+(148*x**2))-(18*x))+1))] }
-
-
-
-def A165523():
- x = SR.var('x')
- return { 'ogf': [(((((((((x**7-(4*x**6))+(12*x**5))-(23*x**4))+(28*x**3))-(19*x**2))+(7*x))-1)*((((((((((((((((((x**18-(10*x**17))+(61*x**16))-(273*x**15))+(957*x**14))-(2697*x**13))+(6189*x**12))-(11622*x**11))+(17876*x**10))-(22474*x**9))+(22992*x**8))-(18999*x**7))+(12536*x**6))-(6488*x**5))+(2564*x**4))-(743*x**3))+(148*x**2))-(18*x))+1)*(((x**3-(2*x**2))+(3*x))-1)**2*(x-1)**5)/(((((((((((((((((((((1+(63561*x**32))-(294604*x**31)-(378989*x**5))+(656*x**2))-(37*x)-(224*x**35)-x**37)+(20*x**36))-(11762*x**33))+(1818*x**34)+(60594*x**4)+(2.259800395E9*x**14)+(13432485*x**28))-(4243006*x**29)-(37986829*x**27)-(1480312985*x**13))+(1190714*x**30)+(3.761486169E9*x**16))-(4.128383734E9*x**17))+(4.08138776E9*x**18))-(7789502*x**7))+(1894854*x**6))-(79043750*x**9)-(7434*x**3))+(200616320*x**10))-(3.079970285E9*x**15)-(3.640807867E9*x**19))+(2.934146785E9*x**20)+(861927311*x**12))-(443695596*x**11))+(26875022*x**8)+(452088473*x**24)+(96347460*x**26))-(839470131*x**23)-(219815232*x**25)-(2137896384*x**21))+(1408787953*x**22)))] }
-
-
-
-def A165524():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(11*x)-(413*x**7))+(217*x**8)+(554*x**6))-(2*x**11))+(357*x**4))-(83*x**9)-(519*x**5))+(20*x**10)+(56*x**2))-(172*x**3))/(1-x)**12)] }
-
-
-
-def A165526():
- x = SR.var('x')
- return { 'ogf': [((((((((((((4*x**10)-(127*x**9))+(692*x**8))-(1657*x**7))+(2305*x**6))-(2045*x**5))+(1196*x**4))-(461*x**3))+(113*x**2))-(16*x))+1)/((x-1)**2*((2*x)-1)**6*((x**2-(3*x))+1)))] }
-
-
-
-def A165527():
- x = SR.var('x')
- return { 'ogf': [(((((((((x-(11*x**2))+(51*x**3))-(127*x**4))+(186*x**5))-(165*x**6))+(87*x**7))-(23*x**8))+(3*x**9))/((1-(3*x))*(1-x)**4*((1-(3*x))+x**2)**2))] }
-
-
-
-def A165528():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(12*x))+(59*x**2))-(152*x**3))+(218*x**4))-(168*x**5))+(58*x**6))-(6*x**7))/((1-x)*(1-(2*x))**4*((1-(4*x))+(2*x**2))))] }
-
-
-
-def A165529():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(13*x))+(69*x**2))-(191*x**3))+(294*x**4))-(252*x**5))+(116*x**6))-(23*x**7))/((1-x)**2*(1-(3*x))**2*((1-(3*x))+x**2)**2))] }
-
-
-
-def A165530():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(3*x))**2)/((1-(4*x))+x**2)/(1-(2*x))**2)] }
-
-
-
-def A165534():
- x = SR.var('x')
- return { 'ogf': [(-((((8*x**4)-(7*x**3))+x**2+(sqrt(((-(4*x))+1))*((((4*x**4)-(9*x**3))+(9*x**2))-(2*x))))/(((((12*x**4)-(31*x**3))+(27*x**2)+(sqrt(((-(4*x))+1))*(((((4*x**4)-(13*x**3))+(15*x**2))-(7*x))+1)))-(9*x))+1)))] }
-
-
-
-def A165540():
- x = SR.var('x')
- return { 'ogf': [((((((2-(10*x))+(9*x**2)+(7*x**3))-(4*x**4))*sqrt((1-(4*x))))-((((2-(16*x))+(41*x**2))-(39*x**3))+(12*x**4)))/((1-(4*x))*((1-(3*x))+x**2)*(((1-x)*sqrt((1-(4*x))))+(1-(3*x)))))] }
-
-
-
-def A165553():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1+(2*x))-(3*x**2)))] }
-
-
-
-def A165563():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(2*x)-(16*x**2)-(6*x**3))+x**4)/(x-1)**5)] }
-
-
-
-def A165568():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(6*x)+(16*x**2)+(2*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A165622():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1+(3*x))-(4*x**2)))] }
-
-
-
-def A165625():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/((1+(4*x))-(5*x**2)))] }
-
-
-
-def A165638():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x))/((1+(5*x))-(6*x**2)))] }
-
-
-
-def A165639():
- x = SR.var('x')
- return { 'ogf': [((1+(13*x))/((1+(6*x))-(7*x**2)))] }
-
-
-
-def A165640():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**7-x**4-x**2-1))/((x-1)**2*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A165665():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+1)/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A165676():
- x = SR.var('x')
- return { 'ogf': [((((((0*x**5)-(6*x**4))+(26*x**3))-(46*x**2))+(50*x))/(x-1)**4)] }
-
-
-
-def A165677():
- x = SR.var('x')
- return { 'ogf': [(((((((0*x**6)-(24*x**5))+(126*x**4))-(274*x**3))+(326*x**2))-(274*x))/(x-1)**5)] }
-
-
-
-def A165678():
- x = SR.var('x')
- return { 'ogf': [((((((((0*x**7)-(120*x**6))+(744*x**5))-(1956*x**4))+(2844*x**3))-(2556*x**2))+(1764*x))/(x-1)**6)] }
-
-
-
-def A165679():
- x = SR.var('x')
- return { 'ogf': [(((((((((0*x**8)-(720*x**7))+(5160*x**6))-(16008*x**5))+(28092*x**4))-(30708*x**3))+(22212*x**2))-(13068*x))/(x-1)**7)] }
-
-
-
-def A165684():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(x**6-x-1))/((1-x**2)*(1-x**3)*(1-x**5)*(1-x**6))))] }
-
-
-
-def A165686():
- x = SR.var('x')
- return { 'ogf': [(-((x**10*((x**7+x**6)-x**2-x-1))/((1-x**2)*(1-x**3)*(1-x**5)*(1-x**6))))] }
-
-
-
-def A165716():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**4)-(2*x**3))+x**2+(2*x))-1)/(((((2*x**5)+(11*x**4))-(4*x**3))+(6*x**2)+(2*x))-1))] }
-
-
-
-def A165717():
- x = SR.var('x')
- return { 'ogf': [((x*(((-6)-(3*x))+x**3))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A165718():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)-(2*x))+x**2+x**3))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A165719():
- x = SR.var('x')
- return { 'ogf': [((x*(((-14)-(3*x))+x**3))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A165720():
- x = SR.var('x')
- return { 'ogf': [((x*(((-6)-(2*x))+(2*x**2)+x**3))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A165721():
- x = SR.var('x')
- return { 'ogf': [((x*(((-4)-(2*x)-x**3)+x**5))/((x**2+1)**2*(x-1)**3))] }
-
-
-
-def A165734():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+(5*x)))/((1-x)*(1+x)))] }
-
-
-
-def A165746():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-(4*x))+(3*x**2)))] }
-
-
-
-def A165747():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-x)**2)] }
-
-
-
-def A165748():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x))/((1+(7*x))-(8*x**2)))] }
-
-
-
-def A165749():
- x = SR.var('x')
- return { 'ogf': [((1+(17*x))/((1+(8*x))-(9*x**2)))] }
-
-
-
-def A165750():
- x = SR.var('x')
- return { 'ogf': [((1+(19*x))/((1+(9*x))-(10*x**2)))] }
-
-
-
-def A165751():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A165752():
- x = SR.var('x')
- return { 'ogf': [((1-(9*x))/((1-(5*x))+(4*x**2)))] }
-
-
-
-def A165755():
- x = SR.var('x')
- return { 'ogf': [((1-(11*x))/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A165758():
- x = SR.var('x')
- return { 'ogf': [((1-(13*x))/((1-(7*x))+(6*x**2)))] }
-
-
-
-def A165759():
- x = SR.var('x')
- return { 'ogf': [((1-(15*x))/((1-(8*x))+(7*x**2)))] }
-
-
-
-def A165760():
- x = SR.var('x')
- return { 'ogf': [((1-(17*x))/((1-(9*x))+(8*x**2)))] }
-
-
-
-def A165777():
- x = SR.var('x')
- return { 'ogf': [((x**10+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A165791():
- x = SR.var('x')
- return { 'ogf': [(((((((2*x**8)-(5*x**7))+(2*x**6))-x**5-(19*x**4)-(15*x**3))+(14*x**2)+(3*x))-1)/((((((9*x**9)-(15*x**8)-(11*x**7))+(24*x**6))-(17*x**5)-(65*x**4)-(25*x**3))+(21*x**2)+(4*x))-1))] }
-
-
-
-def A165799():
- x = SR.var('x')
- return { 'ogf': [(-((((6*x**3)+x)-1)/((((4*x**9)+(16*x**7)+(22*x**6)+(3*x**5))-x**4-(9*x**3)-x**2-x)+1)))] }
-
-
-
-def A165800():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(50*x)))] }
-
-
-
-def A165804():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**6+x**5+x**4+x**3+x**2+x+1))/((x-1)*((8*x**7)-1)))] }
-
-
-
-def A165807():
- x = SR.var('x')
- return { 'ogf': [((x**10+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A165808():
- x = SR.var('x')
- return { 'ogf': [((x*((403+(2967*x)+(1047*x**2))-x**3))/(1-x)**4)] }
-
-
-
-def A165809():
- x = SR.var('x')
- return { 'ogf': [((3*x*(361+(1264*x)+(235*x**2)))/(1-x)**4)] }
-
-
-
-def A165879():
- x = SR.var('x')
- return { 'ogf': [((x**10+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A165900():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(2*x))-1)/(1-x)**3)] }
-
-
-
-def A165910():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x)+x**2)-(2*x**3)))/((1-x**2-x)*(1+x)**2*((x**2-(3*x))+1)**2))] }
-
-
-
-def A165935():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(236*x))+(1446*x**2))-(236*x**3))+x**4))/(1+x)**6)] }
-
-
-
-def A165988():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(4*x)+x**2))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A165989():
- x = SR.var('x')
- return { 'ogf': [((x*((534*x**2)+(125*x)+534))/((x-1)**2*(x+1)))] }
-
-
-
-def A165998():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+x**2)/(1-x**2)**2)] }
-
-
-
-def A166022():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x-(2*x**2))+(3*x**3)))/((x-1)*((2*x)-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A166023():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/(1-(6*x**2)))] }
-
-
-
-def A166025():
- x = SR.var('x')
- return { 'ogf': [((6+(11*x))/(1-x-x**2))] }
-
-
-
-def A166027():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x))/(1-(6*x**2)))] }
-
-
-
-def A166033():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(20*x))+(10*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166035():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1+x)-(12*x**2)))] }
-
-
-
-def A166036():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1+x)-(20*x**2)))] }
-
-
-
-def A166060():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(5*x))+(6*x**2)))] }
-
-
-
-def A166067():
- x = SR.var('x')
- return { 'ogf': [((1+(68*x))/(1-x-x**2))] }
-
-
-
-def A166075():
- x = SR.var('x')
- return { 'ogf': [((x**10+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A166106():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**5+(3*x**4)+(2*x**3))-x**2-x)+1))/((x**2+x)-1)**2)] }
-
-
-
-def A166114():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1+(3*x))-(4*x**2)))] }
-
-
-
-def A166117():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*x)/(((x**3-(2*x**2))+x)-1)))] }
-
-
-
-def A166118():
- x = SR.var('x')
- return { 'ogf': [((x*(15+(2*x)))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A166122():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1+(4*x))-(5*x**2)))] }
-
-
-
-def A166132():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(23*x)))/((x-1)*((4*x)-1)*((9*x)-1))))] }
-
-
-
-def A166136():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9-(15*x))+(7*x**2)))/(x-1)**3))] }
-
-
-
-def A166137():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(8*x))+(4*x**2)))/(x-1)**3)] }
-
-
-
-def A166144():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(20*x))-(10*x**2)))/(1-x)**3)] }
-
-
-
-def A166146():
- x = SR.var('x')
- return { 'ogf': [(((6*x**2)-(12*x)-1)/(x-1)**3)] }
-
-
-
-def A166147():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(14*x))-(7*x**2)))/(1-x)**3)] }
-
-
-
-def A166148():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(16*x))-(8*x**2)))/(1-x)**3)] }
-
-
-
-def A166149():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1+x)-(30*x**2)))] }
-
-
-
-def A166150():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(18*x))-(9*x**2)))/(1-x)**3)] }
-
-
-
-def A166152():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1+x)-(42*x**2)))] }
-
-
-
-def A166153():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x))/((1+x)-(56*x**2)))] }
-
-
-
-def A166154():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(10*x))+(5*x**2)))/(x-1)**3)] }
-
-
-
-def A166157():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1+x)-(72*x**2)))] }
-
-
-
-def A166228():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(6*x))+x**2)))/(2*x*(1+x)))] }
-
-
-
-def A166249():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(3*x**3))-(2*x**2))/((1-(2*x))*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A166290():
- x = SR.var('x')
- return { 'ogf': [((((x-1)*(x+2))/(2*x**2))+(((2-(3*x)-(2*x**2)-(2*x**3))+x**4)/(2*x**2*sqrt(((1+x+x**2)*((1-(3*x))+x**2))))))] }
-
-
-
-def A166304():
- x = SR.var('x')
- return { 'ogf': [((4+(5*x)+(8*x**2)+x**3)/((x-1)**2*(1+x)**2))] }
-
-
-
-def A166336():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(7*x**2))-(4*x**3))+x**4)/((1-x)*((1-(3*x))+x**2)**2))] }
-
-
-
-def A166377():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**11-x**12)/(((1-(12*x))+(77*x**11))-(66*x**12)))] }
-
-
-
-def A166442():
- x = SR.var('x')
- return { 'ogf': [((x**11+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A166445():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2+x**4)/((1-x)*(1+x**2)**2))] }
-
-
-
-def A166446():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x**2)+x**4))] }
-
-
-
-def A166450():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)))/(1-(3*x**2)))] }
-
-
-
-def A166464():
- x = SR.var('x')
- return { 'ogf': [(((1+x+(7*x**2))-x**3)/(1-x)**4)] }
-
-
-
-def A166465():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/(1-(3*x**2)))] }
-
-
-
-def A166468():
- x = SR.var('x')
- return { 'ogf': [((x**12+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A166481():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)))/(1-(3*x**2)))] }
-
-
-
-def A166482():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(4*x**2))-x**3)/((((1-(7*x))+(13*x**2))-(7*x**3))+x**4))] }
-
-
-
-def A166486():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+x**3)/(1-x**4))] }
-
-
-
-def A166514():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-x**2)+x**3))/((1+x)**2*(1-x)**2*(1+x**2)))] }
-
-
-
-def A166515():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-x**2)+x**3))/((1+x)**2*(1-x)**3*(1+x**2)))] }
-
-
-
-def A166516():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(2*x)+x**2)-x**3)/((x-1)*(1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A166517():
- x = SR.var('x')
- return { 'ogf': [(((2-x)+(2*x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A166519():
- x = SR.var('x')
- return { 'ogf': [(((3-(2*x))+(3*x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A166520():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(8*x))+(4*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166521():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(10*x))+(5*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166522():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(12*x))+(6*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166523():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(14*x))+(7*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166524():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(16*x))+(8*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166525():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(18*x))+(9*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166526():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(22*x))-(11*x**2)))/((x-1)**2*(1+x)))] }
-
-
-
-def A166536():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x**2))+x**3)/(((1-(3*x))+(3*x**3))-x**4))] }
-
-
-
-def A166539():
- x = SR.var('x')
- return { 'ogf': [((x*(2-(3*x*(x-2))))/((x-1)**2*(x+1)))] }
-
-
-
-def A166540():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((4*x**4)+(35*x**3))-(69*x**2))+(197*x)+193))/(x-1)**7))] }
-
-
-
-def A166542():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-2)-(8*x))+(4*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166544():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-2)-(10*x))+(5*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166545():
- x = SR.var('x')
- return { 'ogf': [((13*x)/((1-x)**2*(1+x)))] }
-
-
-
-def A166552():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(1-(3*x**2)))] }
-
-
-
-def A166577():
- x = SR.var('x')
- return { 'ogf': [(((3*x**2)+(6*x)+1)/((2*x)+1))] }
-
-
-
-def A166578():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2)-x**3)/((1-(2*x)-x**3)+(2*x**4)))] }
-
-
-
-def A166587():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-sqrt(((1+(2*x))-(3*x**2))))/(2*x)),
-(((1+(3*x))-sqrt(((1+(2*x))-(3*x**2))))/(2*x))] }
-
-
-
-def A166588():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-sqrt((1-(4*x**2))))/(2*x*(1-x)))] }
-
-
-
-def A166592():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/((1-x**2)+x**4))] }
-
-
-
-def A166593():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/((1-x)*((1-x**2)+x**4)))] }
-
-
-
-def A166598():
- x = SR.var('x')
- return { 'ogf': [((5*x)/((1+x)*(x-1)**2))] }
-
-
-
-def A166621():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-5)-(10*x))+(5*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A166639():
- x = SR.var('x')
- return { 'ogf': [(((7-(2*x))+(7*x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A166694():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+x**2)-sqrt(((((1-(10*x))+(19*x**2))-(10*x**3))+x**4)))/(2*x))] }
-
-
-
-def A166696():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+x**2)-sqrt(((((1-(14*x))+(27*x**2))-(14*x**3))+x**4)))/(4*x))] }
-
-
-
-def A166697():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+x**2)-sqrt(((((1-(14*x))+(27*x**2))-(14*x**3))+x**4)))/(4*x*(1-x)))] }
-
-
-
-def A166711():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-x**2)+x**3))/((1-x)**2*(1+x+x**2)**2))] }
-
-
-
-def A166725():
- x = SR.var('x')
- return { 'ogf': [((1+(25*x))/(1-(25*x))**2)] }
-
-
-
-def A166752():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(2*x**2)-(4*x**3))/((1-(5*x**2))+(4*x**4)))] }
-
-
-
-def A166753():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(2*x**2)-(4*x**3))/((1-x)*((1-(5*x**2))+(4*x**4))))] }
-
-
-
-def A166754():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(4*x**2))/((1+x)*((1-x)**2*(1-(2*x)))))] }
-
-
-
-def A166805():
- x = SR.var('x')
- return { 'ogf': [((x*(((3-(2*x)-(2*x**2))+(3*x**3))-x**4))/(1-x)**5)] }
-
-
-
-def A166867():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(2*x**2)))/((1-x-(2*x**2))*(1-(2*x)-x**2)))] }
-
-
-
-def A166868():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x-(2*x**2))*(1-(2*x)-x**2)))] }
-
-
-
-def A166871():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+(2*x)+(3*x**2))-x**3-(2*x**4))+(2*x**5)+x**6)-x**8))/((x-1)**2*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A166873():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(22*x))-(11*x**2)))/(1-x)**3)] }
-
-
-
-def A166876():
- x = SR.var('x')
- return { 'ogf': [((x*((-1983)+(1982*x)+(1982*x**2)))/((1-x)*((x**2+x)-1)))] }
-
-
-
-def A166911():
- x = SR.var('x')
- return { 'ogf': [(((3+x+(5*x**2))-x**3)/(1-x)**4)] }
-
-
-
-def A166912():
- x = SR.var('x')
- return { 'ogf': [((((106+(5849*x))-(46436*x**2))+(40256*x**3))/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A166913():
- x = SR.var('x')
- return { 'ogf': [((((357+(6953*x))-(51812*x**2))+(44352*x**3))/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A166914():
- x = SR.var('x')
- return { 'ogf': [((21-(80*x))/((1-(4*x))*(1-(16*x))))] }
-
-
-
-def A166915():
- x = SR.var('x')
- return { 'ogf': [(((399-(2684*x))+(2240*x**2))/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A166916():
- x = SR.var('x')
- return { 'ogf': [(((357-(1972*x))+(1600*x**2))/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A166917():
- x = SR.var('x')
- return { 'ogf': [((85-(336*x))/((1-(4*x))*(1-(16*x))))] }
-
-
-
-def A166920():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/((1-x)*(1-(2*x))*(1+x)))] }
-
-
-
-def A166926():
- x = SR.var('x')
- return { 'ogf': [(1+(2*x)+(4*x**2))] }
-
-
-
-def A166927():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))*(1-(16*x))))] }
-
-
-
-def A166941():
- x = SR.var('x')
- return { 'ogf': [((2*(((3+(2*x)+(12*x**2))-(6*x**3))+x**4))/(1-x)**5)] }
-
-
-
-def A166942():
- x = SR.var('x')
- return { 'ogf': [(((((2+(15*x)+(16*x**2))-(14*x**3))+(6*x**4))-x**5)/(1-x)**6)] }
-
-
-
-def A166943():
- x = SR.var('x')
- return { 'ogf': [((((((5+(212*x)+(65*x**2))-(80*x**3))+(55*x**4))-(20*x**5))+(3*x**6))/(1-x)**7)] }
-
-
-
-def A166956():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x)-1))/((1-x)*(1-(2*x))*(1+x)))] }
-
-
-
-def A166963():
- x = SR.var('x')
- return { 'ogf': [(((-x**3)+(2*x**2)+1)/((x**5-x**4-x**3-(2*x))+1))] }
-
-
-
-def A166965():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(4*x))*(1-(16*x))))] }
-
-
-
-def A166977():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/((1+x)*(1-(2*x))))] }
-
-
-
-def A166978():
- x = SR.var('x')
- return { 'ogf': [(-((((5*x)-1)*((3*x)-1))/((x-1)*((2*x)-1)*(1+x))))] }
-
-
-
-def A166984():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x))*(1-(16*x))))] }
-
-
-
-def A167022():
- x = SR.var('x')
- return { 'ogf': [sqrt((1-(2*x)-(3*x**2))),
-sqrt((1-(2*x)-(3*x**2)))] }
-
-
-
-def A167030():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x)+x**2)/((x-1)*((-1)+(2*x))*(1+x)))] }
-
-
-
-def A167031():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A167032():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A167033():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A167058():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((((x**6+(45*x**5))-(793*x**4))+(793*x**2))-(45*x)-1))/((((((((x**8-(270*x**7))+(10529*x**6))-(95310*x**5))+(177156*x**4))-(95310*x**3))+(10529*x**2))-(270*x))+1)))] }
-
-
-
-def A167059():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(((((((((((x**14-(3710*x**12))+(104832*x**11))-(997954*x**10))+(3633840*x**9))-(4759203*x**8))+(4759203*x**6))-(3633840*x**5))+(997954*x**4))-(104832*x**3))+(3710*x**2))-1))/((((((((((((((((x**16-(504*x**15))+(48706*x**14))-(1765008*x**13))+(29021617*x**12))-(239655024*x**11))+(1039298722*x**10))-(2.447629128E9*x**9))+(3.242171236E9*x**8))-(2.447629128E9*x**7))+(1039298722*x**6))-(239655024*x**5))+(29021617*x**4))-(1765008*x**3))+(48706*x**2))-(504*x))+1)))] }
-
-
-
-def A167060():
- x = SR.var('x')
- return { 'ogf': [(-((20*x*(((((x**7+(64*x**6))-(2160*x**5))+(4273*x**4)+(4273*x**3))-(2160*x**2))+(64*x)+1))/(((((((((x**9-(720*x**8))+(43920*x**7))-(624783*x**6))+(2247840*x**5))-(2247840*x**4))+(624783*x**3))-(43920*x**2))+(720*x))-1)))] }
-
-
-
-def A167061():
- x = SR.var('x')
- return { 'ogf': [(-((40*x*((((((((x**10+(24*x**9))-(7104*x**8))+(167016*x**7))-(378475*x**6))+(378475*x**4))-(167016*x**3))+(7104*x**2))-(24*x)-1))/((((((((((((x**12-(1152*x**11))+(138048*x**10))-(5263416*x**9))+(72792384*x**8))-(279916416*x**7))+(429599666*x**6))-(279916416*x**5))+(72792384*x**4))-(5263416*x**3))+(138048*x**2))-(1152*x))+1)))] }
-
-
-
-def A167062():
- x = SR.var('x')
- return { 'ogf': [(-((16*x*((((((((x**10+(21*x**9))-(5145*x**8))+(78288*x**7))-(175246*x**6))+(175246*x**4))-(78288*x**3))+(5145*x**2))-(21*x)-1))/((((((((((((x**12-(735*x**11))+(80115*x**10))-(2269596*x**9))+(23630145*x**8))-(89290005*x**7))+(139636406*x**6))-(89290005*x**5))+(23630145*x**4))-(2269596*x**3))+(80115*x**2))-(735*x))+1)))] }
-
-
-
-def A167063():
- x = SR.var('x')
- return { 'ogf': [(-((21*x*(((((((((((x**14-(5373*x**12))+(196420*x**11))-(2311184*x**10))+(8452500*x**9))-(10863790*x**8))+(10863790*x**6))-(8452500*x**5))+(2311184*x**4))-(196420*x**3))+(5373*x**2))-1))/((((((((((((((((x**16-(805*x**15))+(94300*x**14))-(4128845*x**13))+(82955561*x**12))-(801676960*x**11))+(3.65954495E9*x**10))-(8.72668139E9*x**9))+(1.1584112776E10*x**8))-(8.72668139E9*x**7))+(3.65954495E9*x**6))-(801676960*x**5))+(82955561*x**4))-(4128845*x**3))+(94300*x**2))-(805*x))+1)))] }
-
-
-
-def A167064():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*((((((((x**10+(21*x**9))-(3264*x**8))+(37401*x**7))-(74299*x**6))+(74299*x**4))-(37401*x**3))+(3264*x**2))-(21*x)-1))/((((((((((((x**12-(504*x**11))+(40152*x**10))-(937188*x**9))+(8104008*x**8))-(27431208*x**7))+(40609478*x**6))-(27431208*x**5))+(8104008*x**4))-(937188*x**3))+(40152*x**2))-(504*x))+1)))] }
-
-
-
-def A167065():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(((((((((((x**14-(3711*x**12))+(105264*x**11))-(1019095*x**10))+(3723456*x**9))-(4971063*x**8))+(4971063*x**6))-(3723456*x**5))+(1019095*x**4))-(105264*x**3))+(3711*x**2))-1))/((((((((((((((((x**16-(516*x**15))+(51460*x**14))-(1809612*x**13))+(29405308*x**12))-(244066452*x**11))+(1071197628*x**10))-(2.57375382E9*x**9))+(3.447217942E9*x**8))-(2.57375382E9*x**7))+(1071197628*x**6))-(244066452*x**5))+(29405308*x**4))-(1809612*x**3))+(51460*x**2))-(516*x))+1)))] }
-
-
-
-def A167066():
- x = SR.var('x')
- return { 'ogf': [(-((24*x*(((((((((((x**14-(5278*x**12))+(201600*x**11))-(2458194*x**10))+(8663760*x**9))-(10786195*x**8))+(10786195*x**6))-(8663760*x**5))+(2458194*x**4))-(201600*x**3))+(5278*x**2))-1))/((((((((((((((((x**16-(840*x**15))+(95522*x**14))-(4231920*x**13))+(87627601*x**12))-(863951760*x**11))+(3.862082882E9*x**10))-(9.00456396E9*x**9))+(1.1846119204E10*x**8))-(9.00456396E9*x**7))+(3.862082882E9*x**6))-(863951760*x**5))+(87627601*x**4))-(4231920*x**3))+(95522*x**2))-(840*x))+1)))] }
-
-
-
-def A167067():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((((((((((x**14-(2408*x**12))+(54264*x**11))-(439553*x**10))+(1500658*x**9))-(1911656*x**8))+(1911656*x**6))-(1500658*x**5))+(439553*x**4))-(54264*x**3))+(2408*x**2))-1))/((((((((((((((((x**16-(323*x**15))+(24404*x**14))-(723520*x**13))+(9950948*x**12))-(71523505*x**11))+(283937931*x**10))-(637842312*x**9))+(832457728*x**8))-(637842312*x**7))+(283937931*x**6))-(71523505*x**5))+(9950948*x**4))-(723520*x**3))+(24404*x**2))-(323*x))+1)))] }
-
-
-
-def A167068():
- x = SR.var('x')
- return { 'ogf': [(-((11*x*(((((((((((x**14-(3600*x**12))+(110200*x**11))-(1112601*x**10))+(3855898*x**9))-(4841800*x**8))+(4841800*x**6))-(3855898*x**5))+(1112601*x**4))-(110200*x**3))+(3600*x**2))-1))/((((((((((((((((x**16-(551*x**15))+(51500*x**14))-(1873400*x**13))+(31993500*x**12))-(271314053*x**11))+(1157139603*x**10))-(2.669595E9*x**9))+(3.5074468E9*x**8))-(2.669595E9*x**7))+(1157139603*x**6))-(271314053*x**5))+(31993500*x**4))-(1873400*x**3))+(51500*x**2))-(551*x))+1)))] }
-
-
-
-def A167069():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((((((((((x**14-(2385*x**12))+(54940*x**11))-(451104*x**10))+(1542340*x**9))-(2024890*x**8))+(2024890*x**6))-(1542340*x**5))+(451104*x**4))-(54940*x**3))+(2385*x**2))-1))/((((((((((((((((x**16-(335*x**15))+(26224*x**14))-(744035*x**13))+(10084457*x**12))-(72968360*x**11))+(295849710*x**10))-(685799270*x**9))+(909474816*x**8))-(685799270*x**7))+(295849710*x**6))-(72968360*x**5))+(10084457*x**4))-(744035*x**3))+(26224*x**2))-(335*x))+1)))] }
-
-
-
-def A167070():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((x**14-(1425*x**12))+(26532*x**11))-(180448*x**10))+(545916*x**9))-(661242*x**8))+(661242*x**6))-(545916*x**5))+(180448*x**4))-(26532*x**3))+(1425*x**2))-1))/((((((((((((((((x**16-(201*x**15))+(11104*x**14))-(259893*x**13))+(3001225*x**12))-(18824856*x**11))+(67848270*x**10))-(144802410*x**9))+(186068896*x**8))-(144802410*x**7))+(67848270*x**6))-(18824856*x**5))+(3001225*x**4))-(259893*x**3))+(11104*x**2))-(201*x))+1)))] }
-
-
-
-def A167071():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((((((((((x**14-(2331*x**12))+(56416*x**11))-(467115*x**10))+(1546624*x**9))-(1949983*x**8))+(1949983*x**6))-(1546624*x**5))+(467115*x**4))-(56416*x**3))+(2331*x**2))-1))/((((((((((((((((x**16-(344*x**15))+(25540*x**14))-(745448*x**13))+(10445708*x**12))-(76194968*x**11))+(303860988*x**10))-(687124520*x**9))+(899525622*x**8))-(687124520*x**7))+(303860988*x**6))-(76194968*x**5))+(10445708*x**4))-(745448*x**3))+(25540*x**2))-(344*x))+1)))] }
-
-
-
-def A167072():
- x = SR.var('x')
- return { 'ogf': [(-((12*x*((((((((x**10+(35*x**9))-(2385*x**8))+(26040*x**7))-(54030*x**6))+(54030*x**4))-(26040*x**3))+(2385*x**2))-(35*x)-1))/((((((((((((x**12-(525*x**11))+(32415*x**10))-(696920*x**9))+(5936265*x**8))-(19827675*x**7))+(29313582*x**6))-(19827675*x**5))+(5936265*x**4))-(696920*x**3))+(32415*x**2))-(525*x))+1)))] }
-
-
-
-def A167120():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2))+x**3)/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A167121():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)+x**3)/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A167122():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**3)/((1-x)*(1-(4*x))*(1-(16*x))))] }
-
-
-
-def A167149():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9997*x)))/(1-x)**3)] }
-
-
-
-def A167166():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(11*x**2)+(13*x**4)+(7*x**6)+(9*x**8)+(3*x**10)+(5*x**12)+(15*x**14)))/((x-1)*(1+x)*(1+x**2)*(1+x**4)*(1+x**8))))] }
-
-
-
-def A167167():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)+(2*x**2))/((1+x)*(1-(2*x))))] }
-
-
-
-def A167190():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-17594)-(60931*x)-(13132*x**2))+x**3))/(x-1)**4))] }
-
-
-
-def A167191():
- x = SR.var('x')
- return { 'ogf': [((24*x*(111+(413*x)+(96*x**2)))/(x-1)**4)] }
-
-
-
-def A167193():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(2*x))+x**2)/((x-1)*(1+(2*x))*(1+x)))] }
-
-
-
-def A167205():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(5*x**2)-(3*x**3))/((1+x)*(1-x)*(1+(3*x))*(1-(3*x))))] }
-
-
-
-def A167213():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(((x*(1-x**20))/(1-x))+((x**2*(1-x**40))/(1-x**2))+((x**3*(1-x**60))/(1-x**3))+x**25+x**50)))] }
-
-
-
-def A167270():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x**3+x**2)/((1+x)*((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A167291():
- x = SR.var('x')
- return { 'ogf': [(((-2)-(6*x**2))/((x-1)*((4*x**2)+1)))] }
-
-
-
-def A167373():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((3*x)+1))/(1+x+x**2))] }
-
-
-
-def A167375():
- x = SR.var('x')
- return { 'ogf': [(((3*x**2)+1)/((1-(3*x))+x**2))] }
-
-
-
-def A167385():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/((x-1)*((x**3+x**2)-1)))] }
-
-
-
-def A167386():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)))/(1+x)**4)] }
-
-
-
-def A167387():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)))/(1+x)**5)] }
-
-
-
-def A167421():
- x = SR.var('x')
- return { 'ogf': [((((x+(2*x**2)+(4*x**3)+(8*x**4))-(5*x**5))+(11*x**6)+1)/((1-x)*(1+x)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A167423():
- x = SR.var('x')
- return { 'ogf': [((((1-(7*x))+(6*x**2))-x**3)/((((1-(6*x))+(11*x**2))-(6*x**3))+x**4))] }
-
-
-
-def A167425():
- x = SR.var('x')
- return { 'ogf': [((((x+(2*x**2)+(4*x**3)+(8*x**4))-(10*x**5))+(7*x**6)+(13*x**7)+1)/((1-x)*(x**2+1)*((x**4-x**2)+1)))] }
-
-
-
-def A167433():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(4*x**2))/((1-x)+(2*x**2)))] }
-
-
-
-def A167434():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(4*x**2))/((1-x**2)+(2*x**3)))] }
-
-
-
-def A167440():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((256*x**2)+(320*x)+1))/(((2*x)-1)*((8*x)-1)*((32*x)-1))))] }
-
-
-
-def A167463():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)+(6*x**5)+(7*x**6)+(8*x**7)+(9*x**8)+(10*x**9)+(11*x**10)+(12*x**11)+(13*x**12)+(14*x**13)))/((x-1)*(1+x**4+x**3+x**2+x)*(1+x+x**2)*((((((1-x)+x**3)-x**4)+x**5)-x**7)+x**8))))] }
-
-
-
-def A167465():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x**2)+(5*x**4)+(7*x**6)+(9*x**8)+(11*x**10)+(13*x**12)+(15*x**14)))/((x-1)*(1+x)*(1+x**2)*(1+x**4)*(1+x**8))))] }
-
-
-
-def A167467():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-23)-(98*x)-(30*x**2))+x**3))/(x-1)**4))] }
-
-
-
-def A167469():
- x = SR.var('x')
- return { 'ogf': [((3*x*(2+(3*x)))/(1-x)**3)] }
-
-
-
-def A167481():
- x = SR.var('x')
- return { 'ogf': [(1/((1+(2*x))*sqrt((1-(4*x)))))] }
-
-
-
-def A167487():
- x = SR.var('x')
- return { 'ogf': [(((8-(14*x))+(7*x**2))/(1-x)**3)] }
-
-
-
-def A167498():
- x = SR.var('x')
- return { 'ogf': [((6+(54*x)+(66*x**2)+(2*x**3))/(x-1)**4)] }
-
-
-
-def A167499():
- x = SR.var('x')
- return { 'ogf': [(((6-(10*x))+(5*x**2))/(1-x)**3)] }
-
-
-
-def A167533():
- x = SR.var('x')
- return { 'ogf': [((12+(47*x)+(12*x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A167534():
- x = SR.var('x')
- return { 'ogf': [((9+(61*x)+(9*x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A167541():
- x = SR.var('x')
- return { 'ogf': [((x**6*(2-(3*x)))/(x-1)**4)] }
-
-
-
-def A167543():
- x = SR.var('x')
- return { 'ogf': [((x**8*((-2)+(3*x)))/(1-x)**5)] }
-
-
-
-def A167544():
- x = SR.var('x')
- return { 'ogf': [((x**4*((-2)+(3*x)))/(1-x)**3)] }
-
-
-
-def A167547():
- x = SR.var('x')
- return { 'ogf': [((6+(24*x)+(4*x**2)+(8*x**3))/(1-x)**4)] }
-
-
-
-def A167548():
- x = SR.var('x')
- return { 'ogf': [((24+(120*x)+(0*x**2)+(48*x**3)+(24*x**4))/(1-x)**5)] }
-
-
-
-def A167549():
- x = SR.var('x')
- return { 'ogf': [((((120+(720*x))-(120*x**2))+(384*x**3)+(72*x**4)+(144*x**5))/(1-x)**6)] }
-
-
-
-def A167554():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(3*x))-2)/(x-1)**4)] }
-
-
-
-def A167555():
- x = SR.var('x')
- return { 'ogf': [((x**3+(9*x**2)+(2*x)+2)/(x-1)**6)] }
-
-
-
-def A167561():
- x = SR.var('x')
- return { 'ogf': [(((((0*x**3)+(16*x**2))-(16*x))+24)/(1-x)**4)] }
-
-
-
-def A167562():
- x = SR.var('x')
- return { 'ogf': [((((((24*x**4)-(48*x**3))+(144*x**2))-(120*x))+120)/(1-x)**5)] }
-
-
-
-def A167563():
- x = SR.var('x')
- return { 'ogf': [((((((432*x**4)-(864*x**3))+(1392*x**2))-(960*x))+720)/(1-x)**6)] }
-
-
-
-def A167566():
- x = SR.var('x')
- return { 'ogf': [(((1*x**2)+(4*x)+2)/(1-x)**6)] }
-
-
-
-def A167567():
- x = SR.var('x')
- return { 'ogf': [(((1*x**3)+(12*x**2)+(14*x)+0)/(1-x)**8)] }
-
-
-
-def A167573():
- x = SR.var('x')
- return { 'ogf': [(((3*x**2)+(14*x)+23)/(1-x)**3)] }
-
-
-
-def A167574():
- x = SR.var('x')
- return { 'ogf': [(((15*x**3)+(81*x**2)+(73*x)+167)/(1-x)**4)] }
-
-
-
-def A167575():
- x = SR.var('x')
- return { 'ogf': [(((105*x**4)+(660*x**3)+(414*x**2)+(804*x)+1473)/(1-x)**5)] }
-
-
-
-def A167581():
- x = SR.var('x')
- return { 'ogf': [((((4*x**2)+(8*x))-1)/(1-(2*x))**4)] }
-
-
-
-def A167582():
- x = SR.var('x')
- return { 'ogf': [(((8*x**3)+(84*x**2)+(62*x)+3)/(1-(2*x))**6)] }
-
-
-
-def A167585():
- x = SR.var('x')
- return { 'ogf': [(((9*x**2)+(2*x)+13)/(1-x)**3)] }
-
-
-
-def A167587():
- x = SR.var('x')
- return { 'ogf': [((((525*x**4)-(300*x**3))+(774*x**2)+(132*x)+789)/(1-x)**5)] }
-
-
-
-def A167592():
- x = SR.var('x')
- return { 'ogf': [(((8*x)-2)/(1-(2*x))**4)] }
-
-
-
-def A167593():
- x = SR.var('x')
- return { 'ogf': [(((52*x**2)+(12*x)+9)/(1-(2*x))**6)] }
-
-
-
-def A167601():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x)-(40*x**2)-(192*x**3)))] }
-
-
-
-def A167616():
- x = SR.var('x')
- return { 'ogf': [((x**6*(3+(2*x)))/((1-x)*(1-x-x**2)))] }
-
-
-
-def A167617():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(3*x)+x**2))/(((2*x)+1)*(1+x)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A167747():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/(1-(6*x)))] }
-
-
-
-def A167762():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((2*x)-1)*((3*x**2)-1))),
-(x**2/((1-(2*x)-(3*x**2))+(6*x**3)))] }
-
-
-
-def A167784():
- x = SR.var('x')
- return { 'ogf': [((x-1)**2/(((2*x)-1)*((3*x**2)-1)))] }
-
-
-
-def A167808():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+x+x**2)-x**3)+x**4))/(((x**2+x)-1)*((x**4-x**3)+(2*x**2)+x+1))))] }
-
-
-
-def A167817():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(3*x**2)+(3*x**3))/(1-x**4))] }
-
-
-
-def A167821():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-(3*x))+x**2+(2*x**3)))] }
-
-
-
-def A167826():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**6)/(((2*x)-1)*((x**2+x)-1)*((x**3+x**2+x)-1))))] }
-
-
-
-def A167858():
- x = SR.var('x')
- return { 'ogf': [(3+(14*x)+(36*x**2)+(36*x**3)+(12*x**4))] }
-
-
-
-def A167875():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1-x)**4)] }
-
-
-
-def A167876():
- x = SR.var('x')
- return { 'ogf': [((1+x)*(1+(2*x)+(2*x**2)))] }
-
-
-
-def A167889():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((3*x)-1)*((3*x)+1)*((4*x)-1)))] }
-
-
-
-def A167891():
- x = SR.var('x')
- return { 'ogf': [(1+(4*x)+(2*x**2))] }
-
-
-
-def A167910():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(3*x))*(1-(2*x))*(1+(2*x))))] }
-
-
-
-def A167936():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x))/(((2*x)-1)*((3*x**2)-1)))] }
-
-
-
-def A167963():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(26*x)+(156*x**2)+(146*x**3)+(31*x**4)))/(1-x)**7)] }
-
-
-
-def A167993():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((3*x)-1)*((3*x**2)-1)))] }
-
-
-
-def A168029():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(57*x)+(603*x**2)+(1198*x**3)+(603*x**4)+(57*x**5)+x**6))/(1-x)**8)] }
-
-
-
-def A168037():
- x = SR.var('x')
- return { 'ogf': [((-(x*(1+(2*x)+(8*x**3)+(7*x**4)+(4*x**6)+(5*x**7)+(5*x**9)+(4*x**10)+(7*x**12)+(8*x**13)+(2*x**15)+x**16)))/((x-1)*(1+x+x**2)*(1+x**3+x**6)*(1+x)*((1-x)+x**2)*((1-x**3)+x**6)))] }
-
-
-
-def A168052():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1+x)**2*((1-x)+x**2)))] }
-
-
-
-def A168059():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+(6*x**2)+x**3))/((1-x)**3*(1+x)**3))] }
-
-
-
-def A168067():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(120*x)+(2157*x**2)+(7792*x**3)+(7827*x**4)+(2136*x**5)+(127*x**6)))/(1-x)**9)] }
-
-
-
-def A168077():
- x = SR.var('x')
- return { 'ogf': [((-(x*(1+x+(6*x**2)+x**3+x**4)))/((x-1)**3*(1+x)**3))] }
-
-
-
-def A168092():
- x = SR.var('x')
- return { 'ogf': [((2+x+x**2+x**3)/(1-x))] }
-
-
-
-def A168102():
- x = SR.var('x')
- return { 'ogf': [((((x**4+x**3+x**2)-(2*x))+6)/(x-1)**2)] }
-
-
-
-def A168116():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(247*x)+(7318*x**2)+(44089*x**3)+(78130*x**4)+(44089*x**5)+(7318*x**6)+(247*x**7)+x**8))/(x-1)**10)] }
-
-
-
-def A168118():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(502*x)+(23938*x**2)+(227554*x**3)+(655240*x**4)+(655114*x**5)+(227638*x**6)+(23902*x**7)+(511*x**8)))/(1-x)**11)] }
-
-
-
-def A168119():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(1013*x)+(76341*x**2)+(1101684*x**3)+(4869162*x**4)+(7861998*x**5)+(4869162*x**6)+(1101684*x**7)+(76341*x**8)+(1013*x**9)+x**10))/(1-x)**12)] }
-
-
-
-def A168122():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(26*x)+(126*x**2)+(26*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A168123():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(58*x)+(598*x**2)+(1208*x**3)+(593*x**4)+(62*x**5)))/(1-x)**8)] }
-
-
-
-def A168181():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**7))/((1-x)*(1-x**8)))] }
-
-
-
-def A168182():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(1+x**2)*(1+x**4))/((x-1)*(1+x+x**2)*(x**6+x**3+1))))] }
-
-
-
-def A168192():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(4*x)+x**2)*(1+(28*x)+x**2))/(1-x)**7)] }
-
-
-
-def A168193():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A168194():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(64*x)+(586*x**2)+(1208*x**3)+(605*x**4)+(56*x**5)))/(1-x)**8)] }
-
-
-
-def A168195():
- x = SR.var('x')
- return { 'ogf': [((x*((5+(2*x**2))-(5*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168197():
- x = SR.var('x')
- return { 'ogf': [((x**2*(7-(4*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168198():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(5*x))-(3*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168199():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x)*(1+(2*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168200():
- x = SR.var('x')
- return { 'ogf': [((x*(4-x))/((1-x-x**2)+x**3))] }
-
-
-
-def A168202():
- x = SR.var('x')
- return { 'ogf': [((x*((5-(3*x))+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168203():
- x = SR.var('x')
- return { 'ogf': [((x**2*(9-(5*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168204():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(7*x))-(4*x**2)))/((x-1)**2*(1+x)))] }
-
-
-
-def A168205():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(5*x))-(3*x**2)))/(((-1)+x)**2*(1+x)))] }
-
-
-
-def A168206():
- x = SR.var('x')
- return { 'ogf': [((x**2*(11-(6*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168207():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(12*x))-(9*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168209():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(5*x))-(3*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168210():
- x = SR.var('x')
- return { 'ogf': [((x**2*(13-(7*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168211():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((-15)+(8*x)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A168212():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-4)-(7*x))+(4*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A168213():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-5)-(9*x))+(5*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A168223():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((x**2-x)+1))/((x-1)**2*(x+1)**2*(x**2+1)*(x**2+x+1)**2)))] }
-
-
-
-def A168230():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4-(3*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168233():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A168236():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168251():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((-1)-(4*x))+(6*x**2))-(4*x**3))+(23*x**4)+(36*x**5))-(212*x**6)-(44*x**7))+(336*x**8)+(16*x**9)+(64*x**10)))/((x-1)**3*((2*x)+1)**3*((2*x)-1)**3*(1+x)**3)))] }
-
-
-
-def A168273():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1+x)*(1-x)**2))] }
-
-
-
-def A168277():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168280():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x**2))/((1-x)**2*(1+x)))] }
-
-
-
-def A168282():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(5*x))-x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A168284():
- x = SR.var('x')
- return { 'ogf': [((5*x**2)/((1+x)*(x-1)**2))] }
-
-
-
-def A168286():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1+(3*x))-x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A168298():
- x = SR.var('x')
- return { 'ogf': [(-(((((4*x**3)-(10*x**2))+(8*x))-1)/((x-1)*((2*x)-1)**3)))] }
-
-
-
-def A168299():
- x = SR.var('x')
- return { 'ogf': [(((((1-(9*x))+(87*x**2))-(117*x**3))+(54*x**4))/((1-x)*((3*x)-1)**4))] }
-
-
-
-def A168300():
- x = SR.var('x')
- return { 'ogf': [((x*(5+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A168301():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(6*x))-x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A168302():
- x = SR.var('x')
- return { 'ogf': [(((x**4+(23*x**3)+(40*x**2))-(2*x)-8)/(x-1)**8)] }
-
-
-
-def A168303():
- x = SR.var('x')
- return { 'ogf': [((x**5+(53*x**4)+(260*x**3)+(236*x**2)+(68*x)+24)/(x-1)**10)] }
-
-
-
-def A168304():
- x = SR.var('x')
- return { 'ogf': [((x**4+(32*x**3)+(136*x**2)+(128*x)+24)/(x-1)**10)] }
-
-
-
-def A168305():
- x = SR.var('x')
- return { 'ogf': [((((16*x**4)+(576*x**3)+(1112*x**2)+(192*x))-15)/((2*x)-1)**8)] }
-
-
-
-def A168306():
- x = SR.var('x')
- return { 'ogf': [(((32*x**5)+(3728*x**4)+(20400*x**3)+(20664*x**2)+(4434*x)+105)/((2*x)-1)**10)] }
-
-
-
-def A168307():
- x = SR.var('x')
- return { 'ogf': [((((320*x**3)+(560*x**2)+(192*x))-60)/(1-(2*x))**8)] }
-
-
-
-def A168308():
- x = SR.var('x')
- return { 'ogf': [(((1936*x**4)+(9696*x**3)+(9320*x**2)+(1896*x)+525)/(1-(2*x))**10)] }
-
-
-
-def A168309():
- x = SR.var('x')
- return { 'ogf': [((x*(4-(3*x)))/((1-x)*(1+x)))] }
-
-
-
-def A168321():
- x = SR.var('x')
- return { 'ogf': [((x**2*(8-(7*x)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168326():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(2*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168328():
- x = SR.var('x')
- return { 'ogf': [((6*x**2)/((1+x)*(1-x)**2))] }
-
-
-
-def A168329():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A168330():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(2*x)))/((1-x)*(1+x)))] }
-
-
-
-def A168331():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-3)-(7*x))+(3*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A168332():
- x = SR.var('x')
- return { 'ogf': [((x*(6+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168333():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(7*x))-(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168336():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168337():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(7*x))-x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168361():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x))/((1-x)*(1+x)))] }
-
-
-
-def A168364():
- x = SR.var('x')
- return { 'ogf': [((x+(72*x**2)+(603*x**3)+(1168*x**4)+(603*x**5)+(72*x**6)+x**7)/(1-x)**8)] }
-
-
-
-def A168374():
- x = SR.var('x')
- return { 'ogf': [((7*x**2)/((1+x)*(1-x)**2))] }
-
-
-
-def A168376():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168378():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(8*x))-(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168379():
- x = SR.var('x')
- return { 'ogf': [((x*(7+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168380():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x**2))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A168381():
- x = SR.var('x')
- return { 'ogf': [((x*((2+(8*x))-(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168384():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168388():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x**2)+(2*x))*(((x**3+x**2)-x)+1))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A168390():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(8*x))-x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168392():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168397():
- x = SR.var('x')
- return { 'ogf': [((8*x**2)/((1+x)*(x-1)**2))] }
-
-
-
-def A168398():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168399():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(9*x**2))/((1-x)*(1+x+x**2)))] }
-
-
-
-def A168400():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+(7*x**2)+(5*x**3)+1)/((1-x)*(1+x**2)))] }
-
-
-
-def A168401():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(9*x))-(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168409():
- x = SR.var('x')
- return { 'ogf': [((x*(8+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168410():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((-1)-(3*x))+x**2))/((1+x)*(x-1)**2)))] }
-
-
-
-def A168411():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168413():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-2)-(9*x))+(2*x**2)))/((1+x)*(x-1)**2)))] }
-
-
-
-def A168414():
- x = SR.var('x')
- return { 'ogf': [((3*x*(2+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168415():
- x = SR.var('x')
- return { 'ogf': [((8-(15*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A168416():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(9*x))-x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168418():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168419():
- x = SR.var('x')
- return { 'ogf': [((9*x**2)/((1+x)*(x-1)**2))] }
-
-
-
-def A168420():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(10*x))-(4*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168429():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(5*x**2)+(9*x**3)+(3*x**4))/((1-x)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A168430():
- x = SR.var('x')
- return { 'ogf': [((((1+(3*x))-x**2)+(10*x**3))/((1-x)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A168437():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(10*x))-(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168456():
- x = SR.var('x')
- return { 'ogf': [((2*x*(4+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168457():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1+(5*x))-x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A168458():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(3*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168459():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(10*x))-x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A168460():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3+(2*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168461():
- x = SR.var('x')
- return { 'ogf': [((10*x**2)/((1+x)*(x-1)**2))] }
-
-
-
-def A168463():
- x = SR.var('x')
- return { 'ogf': [((x*((5+(11*x))-(5*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A168465():
- x = SR.var('x')
- return { 'ogf': [((x*((7+(6*x))-(2*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168489():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(4*x)+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A168490():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt(((1-(2*x))*((1-(10*x))+(24*x**2)))))/(4*x*(1-(2*x))))] }
-
-
-
-def A168491():
- x = SR.var('x')
- return { 'ogf': [((sqrt((1+(4*x)))-1)/(2*x))] }
-
-
-
-def A168492():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt(((1-(2*x))*((1-(14*x))+(48*x**2)))))/(6*x*(1-(2*x))))] }
-
-
-
-def A168494():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt((((1-(10*x))+(25*x**2))-(12*x**3))))/(6*x*(1-x)))] }
-
-
-
-def A168503():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((((1-(12*x))+(36*x**2))-(24*x**3))))/(6*x*(1-x)))] }
-
-
-
-def A168505():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-sqrt(((1-(2*x))+x**2+(4*x**3))))/(2*x*(1-x)))] }
-
-
-
-def A168506():
- x = SR.var('x')
- return { 'ogf': [((1/2)*(1-sqrt(((1-(4*x))+(4*x*sqrt((1-(4*x))))))))] }
-
-
-
-def A168522():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(98*x))+(2*x**2)))] }
-
-
-
-def A168538():
- x = SR.var('x')
- return { 'ogf': [((6*(x-2)*((x**2-(2*x))+2))/(x-1)**5)] }
-
-
-
-def A168547():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(11*x**2)+(5*x**3))/(x-1)**4)] }
-
-
-
-def A168559():
- x = SR.var('x')
- return { 'ogf': [((x*((4-(3*x))+x**2))/(1-x)**4)] }
-
-
-
-def A168566():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((-8)+(5*x))-(4*x**2))+x**3))/(x-1)**5)] }
-
-
-
-def A168569():
- x = SR.var('x')
- return { 'ogf': [((9*x)/(((3*x)-1)*(x-1)))] }
-
-
-
-def A168571():
- x = SR.var('x')
- return { 'ogf': [((25*x)/(((5*x)-1)*(x-1)))] }
-
-
-
-def A168572():
- x = SR.var('x')
- return { 'ogf': [((49*x**2)/((1-x)*(1-(7*x))))] }
-
-
-
-def A168574():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(11*x**2)+x**3)/(x-1)**4)] }
-
-
-
-def A168576():
- x = SR.var('x')
- return { 'ogf': [((((((-16)+(163135*x))-(120938010*x**2))+(5.861575E9*x**3))-(1.4641E10*x**4))/((x-1)*((100*x)-1)*((1000*x)-1)*((10*x)-1)*((10000*x)-1)))] }
-
-
-
-def A168579():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(16*x**2)))] }
-
-
-
-def A168582():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**4+(2*x**2)+(2*x**3))/((1+x)*(x-1)**4))] }
-
-
-
-def A168589():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1+x)*(1+(3*x))))] }
-
-
-
-def A168604():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)*(1-(2*x))))] }
-
-
-
-def A168605():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1-(4*x))+(7*x**2))-(2*x**3)))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A168606():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((1-(6*x))+(15*x**2))-(8*x**3)))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A168607():
- x = SR.var('x')
- return { 'ogf': [((3-(7*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A168609():
- x = SR.var('x')
- return { 'ogf': [((5-(13*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A168610():
- x = SR.var('x')
- return { 'ogf': [((2*(3-(8*x)))/((1-x)*(1-(3*x))))] }
-
-
-
-def A168611():
- x = SR.var('x')
- return { 'ogf': [(((11*x)-3)/((1-x)*(1-(3*x))))] }
-
-
-
-def A168613():
- x = SR.var('x')
- return { 'ogf': [((2*((7*x)-2))/((1-x)*(1-(3*x))))] }
-
-
-
-def A168614():
- x = SR.var('x')
- return { 'ogf': [((6-(11*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A168615():
- x = SR.var('x')
- return { 'ogf': [(1+((2*x*(1+(2*x)))/(1+(3*x)+(3*x**2))))] }
-
-
-
-def A168616():
- x = SR.var('x')
- return { 'ogf': [(((9*x)-4)/((x-1)*((2*x)-1)))] }
-
-
-
-def A168617():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5-(3*x)))/(((1-(4*x))+(5*x**2))-(2*x**3)))] }
-
-
-
-def A168637():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(2*x))+x**2))/((1-x)*((x**3+x**2)-1)))] }
-
-
-
-def A168642():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))**2/((1+x)*(1-(2*x))))] }
-
-
-
-def A168648():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+(3*x)))/((1+x)*(1-(2*x))))] }
-
-
-
-def A168664():
- x = SR.var('x')
- return { 'ogf': [((x+(8241*x**2)+(2268843*x**3)+(99203675*x**4)+(1285873650*x**5)+(6.421633938E9*x**6)+(1.3985577438E10*x**7)+(1.3985598654E10*x**8)+(6.421628925E9*x**9)+(1285868525*x**10)+(99207111*x**11)+(2268471*x**12)+(8128*x**13))/(1-x)**15)] }
-
-
-
-def A168668():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(3*x)))/(1-x)**3)] }
-
-
-
-def A168670():
- x = SR.var('x')
- return { 'ogf': [((x*((19+(4*x))-(12*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A168671():
- x = SR.var('x')
- return { 'ogf': [((x*((27+(9*x))-(23*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168672():
- x = SR.var('x')
- return { 'ogf': [((x*((47+(6*x))-(36*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A168673():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(((1-(3*x))+(3*x**2))-(2*x**3)))] }
-
-
-
-def A168674():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-2)+x))/((1-x)*((x**2+x)-1)))] }
-
-
-
-def A168675():
- x = SR.var('x')
- return { 'ogf': [((x*((x*((x*((x*((x*((x*((x*((128*x)+5281))+38454))+78095))+49780))+9327))+374))+1))/(x-1)**10)] }
-
-
-
-def A168680():
- x = SR.var('x')
- return { 'ogf': [((x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)/((((((((((((((((x**16-(2*x**15))+x**14)-(2*x**13))+x**12)-(2*x**11))+x**10)-(2*x**9))+x**8)-(2*x**7))+x**6)-(2*x**5))+x**4)-(2*x**3))+x**2)-(2*x))+1))] }
-
-
-
-def A168681():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A168682():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A168683():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A168684():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A168685():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A168686():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A168687():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A168688():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A168689():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A168690():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A168691():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A168692():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A168693():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A168694():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A168695():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A168696():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A168697():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A168698():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A168699():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A168700():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A168701():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A168702():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A168703():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A168704():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A168705():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A168706():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A168707():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A168708():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A168709():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A168710():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A168711():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A168712():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A168713():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A168714():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A168715():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A168716():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A168717():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A168718():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A168719():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A168720():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A168721():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A168722():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A168723():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A168724():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A168725():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A168726():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A168727():
- x = SR.var('x')
- return { 'ogf': [((x**17+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A168728():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/((x**18-x**17-x**16-x**15-x**14-x**13-x**12-x**11-x**10-x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x)+1))] }
-
-
-
-def A168729():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A168730():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A168731():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A168732():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A168733():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A168734():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A168735():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A168736():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A168737():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A168738():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A168739():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A168740():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A168741():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A168742():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A168743():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A168744():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A168745():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A168746():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A168747():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A168748():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A168749():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A168750():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A168751():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A168752():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A168753():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A168754():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A168755():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A168756():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A168757():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A168758():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A168759():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A168760():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A168761():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A168762():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A168763():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A168764():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A168765():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A168766():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A168767():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A168768():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A168769():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A168770():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A168771():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A168772():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A168773():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A168774():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A168775():
- x = SR.var('x')
- return { 'ogf': [((x**18+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A168776():
- x = SR.var('x')
- return { 'ogf': [((x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)/((((((((((((((((((x**18-(2*x**17))+x**16)-(2*x**15))+x**14)-(2*x**13))+x**12)-(2*x**11))+x**10)-(2*x**9))+x**8)-(2*x**7))+x**6)-(2*x**5))+x**4)-(2*x**3))+x**2)-(2*x))+1))] }
-
-
-
-def A168777():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A168778():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A168779():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A168780():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A168781():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A168782():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A168783():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A168784():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A168785():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A168786():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A168787():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A168788():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A168789():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A168790():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A168791():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A168792():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A168793():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A168794():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A168795():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A168796():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A168797():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A168798():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A168799():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A168800():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A168801():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A168802():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A168803():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A168804():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A168805():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A168806():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A168807():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A168808():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A168809():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A168810():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A168811():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A168812():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A168813():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A168814():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A168815():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A168816():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A168817():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A168818():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A168819():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A168820():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A168821():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A168822():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A168823():
- x = SR.var('x')
- return { 'ogf': [((x**19+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A168824():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/((x**20-x**19-x**18-x**17-x**16-x**15-x**14-x**13-x**12-x**11-x**10-x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x)+1))] }
-
-
-
-def A168825():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A168826():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A168827():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A168828():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A168829():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A168830():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A168831():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A168832():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A168833():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A168834():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A168835():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A168836():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A168837():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A168838():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A168839():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A168840():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A168841():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A168842():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A168843():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A168844():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A168845():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A168846():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A168847():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A168848():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A168849():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A168850():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A168851():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A168852():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A168853():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A168854():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A168855():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A168856():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A168857():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A168858():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A168859():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A168860():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A168861():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A168862():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A168863():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A168864():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A168865():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A168866():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A168867():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A168868():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A168869():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A168870():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A168871():
- x = SR.var('x')
- return { 'ogf': [((x**20+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A168872():
- x = SR.var('x')
- return { 'ogf': [((x**20+x**19+x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)/((((((((((((((((((((x**20-(2*x**19))+x**18)-(2*x**17))+x**16)-(2*x**15))+x**14)-(2*x**13))+x**12)-(2*x**11))+x**10)-(2*x**9))+x**8)-(2*x**7))+x**6)-(2*x**5))+x**4)-(2*x**3))+x**2)-(2*x))+1))] }
-
-
-
-def A168873():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A168874():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A168875():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A168876():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A168877():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A168878():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A168879():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A168880():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A168881():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A168882():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A168883():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A168884():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A168885():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A168886():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A168887():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A168888():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A168889():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A168890():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A168891():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A168892():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A168893():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A168894():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A168895():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A168896():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A168897():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A168898():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A168899():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A168900():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A168901():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A168902():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A168903():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A168904():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A168905():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A168906():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A168907():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A168908():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A168909():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A168910():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A168911():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A168912():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A168913():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A168914():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A168915():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A168916():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A168917():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A168918():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A168919():
- x = SR.var('x')
- return { 'ogf': [((x**21+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A168920():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/((x**22-x**21-x**20-x**19-x**18-x**17-x**16-x**15-x**14-x**13-x**12-x**11-x**10-x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x)+1))] }
-
-
-
-def A168921():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A168922():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A168923():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A168924():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A168925():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A168926():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A168927():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A168928():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A168929():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A168930():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A168931():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A168932():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A168933():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A168934():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A168935():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A168936():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A168937():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A168938():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A168939():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A168940():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A168941():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A168942():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A168943():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A168944():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A168945():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A168946():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A168947():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A168948():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A168949():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A168950():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A168951():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A168952():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A168953():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A168954():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A168955():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A168956():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A168957():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A168958():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A168959():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A168960():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A168961():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A168962():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A168963():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A168964():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A168965():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A168966():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A168967():
- x = SR.var('x')
- return { 'ogf': [((x**22+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A168968():
- x = SR.var('x')
- return { 'ogf': [((x**22+x**21+x**20+x**19+x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)/((((((((((((((((((((((x**22-(2*x**21))+x**20)-(2*x**19))+x**18)-(2*x**17))+x**16)-(2*x**15))+x**14)-(2*x**13))+x**12)-(2*x**11))+x**10)-(2*x**9))+x**8)-(2*x**7))+x**6)-(2*x**5))+x**4)-(2*x**3))+x**2)-(2*x))+1))] }
-
-
-
-def A168969():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A168970():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A168971():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A168972():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A168973():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A168974():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A168975():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A168976():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A168977():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A168978():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A168979():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A168980():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A168981():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A168982():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A168983():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A168984():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A168985():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A168986():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A168987():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A168988():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A168989():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A168990():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A168991():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A168992():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A168993():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A168994():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A168995():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A168996():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A168997():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A168998():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A168999():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169000():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169001():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169002():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169003():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169004():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169005():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169006():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169007():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169008():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169009():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169010():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169011():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169012():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169013():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169014():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169015():
- x = SR.var('x')
- return { 'ogf': [((x**23+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169016():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/((x**24-x**23-x**22-x**21-x**20-x**19-x**18-x**17-x**16-x**15-x**14-x**13-x**12-x**11-x**10-x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x)+1))] }
-
-
-
-def A169017():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169018():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169019():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169020():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169021():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169022():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169023():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169024():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169025():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169026():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169027():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169028():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169029():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169030():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169031():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169032():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169033():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169034():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169035():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169036():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169037():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169038():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169039():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169040():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**24)-(25*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A169041():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169042():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**24)-(27*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A169043():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169044():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169045():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169046():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169047():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169048():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169049():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169050():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169051():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169052():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169053():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169054():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169055():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169056():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169057():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169058():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169059():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169060():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169061():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169062():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169063():
- x = SR.var('x')
- return { 'ogf': [((x**24+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169064():
- x = SR.var('x')
- return { 'ogf': [((x**24+x**23+x**22+x**21+x**20+x**19+x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)/((((((((((((((((((((((((x**24-(2*x**23))+x**22)-(2*x**21))+x**20)-(2*x**19))+x**18)-(2*x**17))+x**16)-(2*x**15))+x**14)-(2*x**13))+x**12)-(2*x**11))+x**10)-(2*x**9))+x**8)-(2*x**7))+x**6)-(2*x**5))+x**4)-(2*x**3))+x**2)-(2*x))+1))] }
-
-
-
-def A169065():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**25)-(2*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169066():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**25)-(3*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169067():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**25)-(4*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169068():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169069():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**25)-(6*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169070():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**25)-(7*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169071():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**25)-(8*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169072():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**25)-(9*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169073():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**25)-(10*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169074():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**25)-(11*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169075():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**25)-(12*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169076():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**25)-(13*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169077():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**25)-(14*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169078():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**25)-(15*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169079():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**25)-(16*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169080():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**25)-(17*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169081():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169082():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**25)-(19*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169083():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**25)-(20*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169084():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169085():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**25)-(22*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169086():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169087():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**25)-(24*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169088():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**25)-(25*x**24)-(25*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A169089():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**25)-(26*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169090():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**25)-(27*x**24)-(27*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A169091():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169092():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**25)-(29*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169093():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**25)-(30*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169094():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**25)-(31*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169095():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**25)-(32*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169096():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**25)-(33*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169097():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**25)-(34*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169098():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**25)-(35*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169099():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**25)-(36*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169100():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**25)-(37*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169101():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**25)-(38*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169102():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**25)-(39*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169103():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**25)-(40*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169104():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**25)-(41*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169105():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**25)-(42*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169106():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**25)-(43*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169107():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169108():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**25)-(45*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169109():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**25)-(46*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169110():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**25)-(47*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169111():
- x = SR.var('x')
- return { 'ogf': [((x**25+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**25)-(48*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169112():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/((x**26-x**25-x**24-x**23-x**22-x**21-x**20-x**19-x**18-x**17-x**16-x**15-x**14-x**13-x**12-x**11-x**10-x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x)+1))] }
-
-
-
-def A169113():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**26)-(2*x**25)-(2*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169114():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**26)-(3*x**25)-(3*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169115():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**26)-(4*x**25)-(4*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169116():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**26)-(5*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169117():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**26)-(6*x**25)-(6*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169118():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**26)-(7*x**25)-(7*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169119():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**26)-(8*x**25)-(8*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169120():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**26)-(9*x**25)-(9*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169121():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**26)-(10*x**25)-(10*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169122():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**26)-(11*x**25)-(11*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169123():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**26)-(12*x**25)-(12*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169124():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**26)-(13*x**25)-(13*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169125():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**26)-(14*x**25)-(14*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169126():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**26)-(15*x**25)-(15*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169127():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**26)-(16*x**25)-(16*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169128():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**26)-(17*x**25)-(17*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169129():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**26)-(18*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169130():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**26)-(19*x**25)-(19*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169131():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**26)-(20*x**25)-(20*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169132():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**26)-(21*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169133():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**26)-(22*x**25)-(22*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169134():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**26)-(23*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169135():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**26)-(24*x**25)-(24*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169136():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**26)-(25*x**25)-(25*x**24)-(25*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A169137():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**26)-(26*x**25)-(26*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169139():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**26)-(28*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169140():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**26)-(29*x**25)-(29*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169141():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**26)-(30*x**25)-(30*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169142():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**26)-(31*x**25)-(31*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169143():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**26)-(32*x**25)-(32*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169144():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**26)-(33*x**25)-(33*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169145():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**26)-(34*x**25)-(34*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169146():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**26)-(35*x**25)-(35*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169147():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**26)-(36*x**25)-(36*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169148():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**26)-(37*x**25)-(37*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169149():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**26)-(38*x**25)-(38*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169150():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**26)-(39*x**25)-(39*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169151():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**26)-(40*x**25)-(40*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169152():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**26)-(41*x**25)-(41*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169153():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**26)-(42*x**25)-(42*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169154():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**26)-(43*x**25)-(43*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169155():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**26)-(44*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169156():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**26)-(45*x**25)-(45*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169157():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**26)-(46*x**25)-(46*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169158():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**26)-(47*x**25)-(47*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169159():
- x = SR.var('x')
- return { 'ogf': [((x**26+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**26)-(48*x**25)-(48*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169160():
- x = SR.var('x')
- return { 'ogf': [((x**26+x**25+x**24+x**23+x**22+x**21+x**20+x**19+x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)/((((((((((((((((((((((((((x**26-(2*x**25))+x**24)-(2*x**23))+x**22)-(2*x**21))+x**20)-(2*x**19))+x**18)-(2*x**17))+x**16)-(2*x**15))+x**14)-(2*x**13))+x**12)-(2*x**11))+x**10)-(2*x**9))+x**8)-(2*x**7))+x**6)-(2*x**5))+x**4)-(2*x**3))+x**2)-(2*x))+1))] }
-
-
-
-def A169161():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**27)-(2*x**26)-(2*x**25)-(2*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169162():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**27)-(3*x**26)-(3*x**25)-(3*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169163():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**27)-(4*x**26)-(4*x**25)-(4*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169164():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**27)-(5*x**26)-(5*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169165():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**27)-(6*x**26)-(6*x**25)-(6*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169166():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**27)-(7*x**26)-(7*x**25)-(7*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169167():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**27)-(8*x**26)-(8*x**25)-(8*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169168():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**27)-(9*x**26)-(9*x**25)-(9*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169169():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**27)-(10*x**26)-(10*x**25)-(10*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169170():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**27)-(11*x**26)-(11*x**25)-(11*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169171():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**27)-(12*x**26)-(12*x**25)-(12*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169172():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**27)-(13*x**26)-(13*x**25)-(13*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169173():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**27)-(14*x**26)-(14*x**25)-(14*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169174():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**27)-(15*x**26)-(15*x**25)-(15*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169175():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**27)-(16*x**26)-(16*x**25)-(16*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169176():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**27)-(17*x**26)-(17*x**25)-(17*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169177():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**27)-(18*x**26)-(18*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169178():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**27)-(19*x**26)-(19*x**25)-(19*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169179():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**27)-(20*x**26)-(20*x**25)-(20*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169180():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**27)-(21*x**26)-(21*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169181():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**27)-(22*x**26)-(22*x**25)-(22*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169182():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**27)-(23*x**26)-(23*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169183():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**27)-(24*x**26)-(24*x**25)-(24*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169184():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**27)-(25*x**26)-(25*x**25)-(25*x**24)-(25*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A169185():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**27)-(26*x**26)-(26*x**25)-(26*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169186():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**27)-(27*x**26)-(27*x**25)-(27*x**24)-(27*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A169187():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**27)-(28*x**26)-(28*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169188():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**27)-(29*x**26)-(29*x**25)-(29*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169189():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**27)-(30*x**26)-(30*x**25)-(30*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169190():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**27)-(31*x**26)-(31*x**25)-(31*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169191():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**27)-(32*x**26)-(32*x**25)-(32*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169192():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**27)-(33*x**26)-(33*x**25)-(33*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169193():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**27)-(34*x**26)-(34*x**25)-(34*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169194():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**27)-(35*x**26)-(35*x**25)-(35*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169195():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**27)-(36*x**26)-(36*x**25)-(36*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169196():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**27)-(37*x**26)-(37*x**25)-(37*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169197():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**27)-(38*x**26)-(38*x**25)-(38*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169198():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**27)-(39*x**26)-(39*x**25)-(39*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169199():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**27)-(40*x**26)-(40*x**25)-(40*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169200():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**27)-(41*x**26)-(41*x**25)-(41*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169201():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**27)-(42*x**26)-(42*x**25)-(42*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169202():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**27)-(43*x**26)-(43*x**25)-(43*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169203():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**27)-(44*x**26)-(44*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169204():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**27)-(45*x**26)-(45*x**25)-(45*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169205():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**27)-(46*x**26)-(46*x**25)-(46*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169206():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**27)-(47*x**26)-(47*x**25)-(47*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169207():
- x = SR.var('x')
- return { 'ogf': [((x**27+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**27)-(48*x**26)-(48*x**25)-(48*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169208():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/((x**28-x**27-x**26-x**25-x**24-x**23-x**22-x**21-x**20-x**19-x**18-x**17-x**16-x**15-x**14-x**13-x**12-x**11-x**10-x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x)+1))] }
-
-
-
-def A169209():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**28)-(2*x**27)-(2*x**26)-(2*x**25)-(2*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169210():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**28)-(3*x**27)-(3*x**26)-(3*x**25)-(3*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169211():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**28)-(4*x**27)-(4*x**26)-(4*x**25)-(4*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169212():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**28)-(5*x**27)-(5*x**26)-(5*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169213():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**28)-(6*x**27)-(6*x**26)-(6*x**25)-(6*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169214():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**28)-(7*x**27)-(7*x**26)-(7*x**25)-(7*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169215():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**28)-(8*x**27)-(8*x**26)-(8*x**25)-(8*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169216():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**28)-(9*x**27)-(9*x**26)-(9*x**25)-(9*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169217():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**28)-(10*x**27)-(10*x**26)-(10*x**25)-(10*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169218():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**28)-(11*x**27)-(11*x**26)-(11*x**25)-(11*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169219():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**28)-(12*x**27)-(12*x**26)-(12*x**25)-(12*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169220():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**28)-(13*x**27)-(13*x**26)-(13*x**25)-(13*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169221():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**28)-(14*x**27)-(14*x**26)-(14*x**25)-(14*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169222():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**28)-(15*x**27)-(15*x**26)-(15*x**25)-(15*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169223():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**28)-(16*x**27)-(16*x**26)-(16*x**25)-(16*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169224():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**28)-(17*x**27)-(17*x**26)-(17*x**25)-(17*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169225():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**28)-(18*x**27)-(18*x**26)-(18*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169226():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**28)-(19*x**27)-(19*x**26)-(19*x**25)-(19*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169227():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**28)-(20*x**27)-(20*x**26)-(20*x**25)-(20*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169228():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**28)-(21*x**27)-(21*x**26)-(21*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169229():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**28)-(22*x**27)-(22*x**26)-(22*x**25)-(22*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169230():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**28)-(23*x**27)-(23*x**26)-(23*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169231():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**28)-(24*x**27)-(24*x**26)-(24*x**25)-(24*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169232():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**28)-(25*x**27)-(25*x**26)-(25*x**25)-(25*x**24)-(25*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A169233():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**28)-(26*x**27)-(26*x**26)-(26*x**25)-(26*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169234():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**28)-(27*x**27)-(27*x**26)-(27*x**25)-(27*x**24)-(27*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A169235():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**28)-(28*x**27)-(28*x**26)-(28*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169236():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**28)-(29*x**27)-(29*x**26)-(29*x**25)-(29*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169237():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**28)-(30*x**27)-(30*x**26)-(30*x**25)-(30*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169238():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**28)-(31*x**27)-(31*x**26)-(31*x**25)-(31*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169239():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**28)-(32*x**27)-(32*x**26)-(32*x**25)-(32*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169240():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**28)-(33*x**27)-(33*x**26)-(33*x**25)-(33*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169241():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**28)-(34*x**27)-(34*x**26)-(34*x**25)-(34*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169242():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**28)-(35*x**27)-(35*x**26)-(35*x**25)-(35*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169243():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**28)-(36*x**27)-(36*x**26)-(36*x**25)-(36*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169244():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**28)-(37*x**27)-(37*x**26)-(37*x**25)-(37*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169245():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**28)-(38*x**27)-(38*x**26)-(38*x**25)-(38*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169246():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**28)-(39*x**27)-(39*x**26)-(39*x**25)-(39*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169247():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**28)-(40*x**27)-(40*x**26)-(40*x**25)-(40*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169248():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**28)-(41*x**27)-(41*x**26)-(41*x**25)-(41*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169249():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**28)-(42*x**27)-(42*x**26)-(42*x**25)-(42*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169250():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**28)-(43*x**27)-(43*x**26)-(43*x**25)-(43*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169251():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**28)-(44*x**27)-(44*x**26)-(44*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169252():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**28)-(45*x**27)-(45*x**26)-(45*x**25)-(45*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169253():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**28)-(46*x**27)-(46*x**26)-(46*x**25)-(46*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169254():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**28)-(47*x**27)-(47*x**26)-(47*x**25)-(47*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169255():
- x = SR.var('x')
- return { 'ogf': [((x**28+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**28)-(48*x**27)-(48*x**26)-(48*x**25)-(48*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169256():
- x = SR.var('x')
- return { 'ogf': [((x**28+x**27+x**26+x**25+x**24+x**23+x**22+x**21+x**20+x**19+x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)/((((((((((((((((((((((((((((x**28-(2*x**27))+x**26)-(2*x**25))+x**24)-(2*x**23))+x**22)-(2*x**21))+x**20)-(2*x**19))+x**18)-(2*x**17))+x**16)-(2*x**15))+x**14)-(2*x**13))+x**12)-(2*x**11))+x**10)-(2*x**9))+x**8)-(2*x**7))+x**6)-(2*x**5))+x**4)-(2*x**3))+x**2)-(2*x))+1))] }
-
-
-
-def A169257():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**29)-(2*x**28)-(2*x**27)-(2*x**26)-(2*x**25)-(2*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169258():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**29)-(3*x**28)-(3*x**27)-(3*x**26)-(3*x**25)-(3*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169259():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**29)-(4*x**28)-(4*x**27)-(4*x**26)-(4*x**25)-(4*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169260():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**29)-(5*x**28)-(5*x**27)-(5*x**26)-(5*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169261():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**29)-(6*x**28)-(6*x**27)-(6*x**26)-(6*x**25)-(6*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169262():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**29)-(7*x**28)-(7*x**27)-(7*x**26)-(7*x**25)-(7*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169263():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**29)-(8*x**28)-(8*x**27)-(8*x**26)-(8*x**25)-(8*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169264():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**29)-(9*x**28)-(9*x**27)-(9*x**26)-(9*x**25)-(9*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169265():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**29)-(10*x**28)-(10*x**27)-(10*x**26)-(10*x**25)-(10*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169266():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**29)-(11*x**28)-(11*x**27)-(11*x**26)-(11*x**25)-(11*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169267():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**29)-(12*x**28)-(12*x**27)-(12*x**26)-(12*x**25)-(12*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169268():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**29)-(13*x**28)-(13*x**27)-(13*x**26)-(13*x**25)-(13*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169269():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**29)-(14*x**28)-(14*x**27)-(14*x**26)-(14*x**25)-(14*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169270():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**29)-(15*x**28)-(15*x**27)-(15*x**26)-(15*x**25)-(15*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169271():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**29)-(16*x**28)-(16*x**27)-(16*x**26)-(16*x**25)-(16*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169272():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**29)-(17*x**28)-(17*x**27)-(17*x**26)-(17*x**25)-(17*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169273():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**29)-(18*x**28)-(18*x**27)-(18*x**26)-(18*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169274():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**29)-(19*x**28)-(19*x**27)-(19*x**26)-(19*x**25)-(19*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169275():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**29)-(20*x**28)-(20*x**27)-(20*x**26)-(20*x**25)-(20*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169276():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**29)-(21*x**28)-(21*x**27)-(21*x**26)-(21*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169277():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**29)-(22*x**28)-(22*x**27)-(22*x**26)-(22*x**25)-(22*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169278():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**29)-(23*x**28)-(23*x**27)-(23*x**26)-(23*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169279():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**29)-(24*x**28)-(24*x**27)-(24*x**26)-(24*x**25)-(24*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169280():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**29)-(25*x**28)-(25*x**27)-(25*x**26)-(25*x**25)-(25*x**24)-(25*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A169281():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**29)-(26*x**28)-(26*x**27)-(26*x**26)-(26*x**25)-(26*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169282():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**29)-(27*x**28)-(27*x**27)-(27*x**26)-(27*x**25)-(27*x**24)-(27*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A169283():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**29)-(28*x**28)-(28*x**27)-(28*x**26)-(28*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169284():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**29)-(29*x**28)-(29*x**27)-(29*x**26)-(29*x**25)-(29*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169285():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**29)-(30*x**28)-(30*x**27)-(30*x**26)-(30*x**25)-(30*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169286():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**29)-(31*x**28)-(31*x**27)-(31*x**26)-(31*x**25)-(31*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169287():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**29)-(32*x**28)-(32*x**27)-(32*x**26)-(32*x**25)-(32*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169288():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**29)-(33*x**28)-(33*x**27)-(33*x**26)-(33*x**25)-(33*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169289():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**29)-(34*x**28)-(34*x**27)-(34*x**26)-(34*x**25)-(34*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169290():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**29)-(35*x**28)-(35*x**27)-(35*x**26)-(35*x**25)-(35*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169291():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**29)-(36*x**28)-(36*x**27)-(36*x**26)-(36*x**25)-(36*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169292():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**29)-(37*x**28)-(37*x**27)-(37*x**26)-(37*x**25)-(37*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169293():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**29)-(38*x**28)-(38*x**27)-(38*x**26)-(38*x**25)-(38*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169294():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**29)-(39*x**28)-(39*x**27)-(39*x**26)-(39*x**25)-(39*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169295():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**29)-(40*x**28)-(40*x**27)-(40*x**26)-(40*x**25)-(40*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169296():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**29)-(41*x**28)-(41*x**27)-(41*x**26)-(41*x**25)-(41*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169297():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**29)-(42*x**28)-(42*x**27)-(42*x**26)-(42*x**25)-(42*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169298():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**29)-(43*x**28)-(43*x**27)-(43*x**26)-(43*x**25)-(43*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169299():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**29)-(44*x**28)-(44*x**27)-(44*x**26)-(44*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169300():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**29)-(45*x**28)-(45*x**27)-(45*x**26)-(45*x**25)-(45*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169301():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**29)-(46*x**28)-(46*x**27)-(46*x**26)-(46*x**25)-(46*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169302():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**29)-(47*x**28)-(47*x**27)-(47*x**26)-(47*x**25)-(47*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169303():
- x = SR.var('x')
- return { 'ogf': [((x**29+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**29)-(48*x**28)-(48*x**27)-(48*x**26)-(48*x**25)-(48*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169304():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/((x**30-x**29-x**28-x**27-x**26-x**25-x**24-x**23-x**22-x**21-x**20-x**19-x**18-x**17-x**16-x**15-x**14-x**13-x**12-x**11-x**10-x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x)+1))] }
-
-
-
-def A169305():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**30)-(2*x**29)-(2*x**28)-(2*x**27)-(2*x**26)-(2*x**25)-(2*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169306():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**30)-(3*x**29)-(3*x**28)-(3*x**27)-(3*x**26)-(3*x**25)-(3*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169307():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**30)-(4*x**29)-(4*x**28)-(4*x**27)-(4*x**26)-(4*x**25)-(4*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169308():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**30)-(5*x**29)-(5*x**28)-(5*x**27)-(5*x**26)-(5*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169309():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**30)-(6*x**29)-(6*x**28)-(6*x**27)-(6*x**26)-(6*x**25)-(6*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169310():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**30)-(7*x**29)-(7*x**28)-(7*x**27)-(7*x**26)-(7*x**25)-(7*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169311():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**30)-(8*x**29)-(8*x**28)-(8*x**27)-(8*x**26)-(8*x**25)-(8*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169312():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**30)-(9*x**29)-(9*x**28)-(9*x**27)-(9*x**26)-(9*x**25)-(9*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169313():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**30)-(10*x**29)-(10*x**28)-(10*x**27)-(10*x**26)-(10*x**25)-(10*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169314():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**30)-(11*x**29)-(11*x**28)-(11*x**27)-(11*x**26)-(11*x**25)-(11*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169315():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**30)-(12*x**29)-(12*x**28)-(12*x**27)-(12*x**26)-(12*x**25)-(12*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169316():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**30)-(13*x**29)-(13*x**28)-(13*x**27)-(13*x**26)-(13*x**25)-(13*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169317():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**30)-(14*x**29)-(14*x**28)-(14*x**27)-(14*x**26)-(14*x**25)-(14*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169318():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**30)-(15*x**29)-(15*x**28)-(15*x**27)-(15*x**26)-(15*x**25)-(15*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169319():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**30)-(16*x**29)-(16*x**28)-(16*x**27)-(16*x**26)-(16*x**25)-(16*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169320():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**30)-(17*x**29)-(17*x**28)-(17*x**27)-(17*x**26)-(17*x**25)-(17*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169321():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**30)-(18*x**29)-(18*x**28)-(18*x**27)-(18*x**26)-(18*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169322():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**30)-(19*x**29)-(19*x**28)-(19*x**27)-(19*x**26)-(19*x**25)-(19*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169323():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**30)-(20*x**29)-(20*x**28)-(20*x**27)-(20*x**26)-(20*x**25)-(20*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169324():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**30)-(21*x**29)-(21*x**28)-(21*x**27)-(21*x**26)-(21*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169325():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**30)-(22*x**29)-(22*x**28)-(22*x**27)-(22*x**26)-(22*x**25)-(22*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169326():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**30)-(23*x**29)-(23*x**28)-(23*x**27)-(23*x**26)-(23*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169327():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**30)-(24*x**29)-(24*x**28)-(24*x**27)-(24*x**26)-(24*x**25)-(24*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169328():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**30)-(25*x**29)-(25*x**28)-(25*x**27)-(25*x**26)-(25*x**25)-(25*x**24)-(25*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A169329():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**30)-(26*x**29)-(26*x**28)-(26*x**27)-(26*x**26)-(26*x**25)-(26*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169330():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**30)-(27*x**29)-(27*x**28)-(27*x**27)-(27*x**26)-(27*x**25)-(27*x**24)-(27*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A169331():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**30)-(28*x**29)-(28*x**28)-(28*x**27)-(28*x**26)-(28*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169332():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**30)-(29*x**29)-(29*x**28)-(29*x**27)-(29*x**26)-(29*x**25)-(29*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169333():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**30)-(30*x**29)-(30*x**28)-(30*x**27)-(30*x**26)-(30*x**25)-(30*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169334():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**30)-(31*x**29)-(31*x**28)-(31*x**27)-(31*x**26)-(31*x**25)-(31*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169335():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**30)-(32*x**29)-(32*x**28)-(32*x**27)-(32*x**26)-(32*x**25)-(32*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169336():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**30)-(33*x**29)-(33*x**28)-(33*x**27)-(33*x**26)-(33*x**25)-(33*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169337():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**30)-(34*x**29)-(34*x**28)-(34*x**27)-(34*x**26)-(34*x**25)-(34*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169338():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**30)-(35*x**29)-(35*x**28)-(35*x**27)-(35*x**26)-(35*x**25)-(35*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169339():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**30)-(36*x**29)-(36*x**28)-(36*x**27)-(36*x**26)-(36*x**25)-(36*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169340():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**30)-(37*x**29)-(37*x**28)-(37*x**27)-(37*x**26)-(37*x**25)-(37*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169341():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**30)-(38*x**29)-(38*x**28)-(38*x**27)-(38*x**26)-(38*x**25)-(38*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169342():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**30)-(39*x**29)-(39*x**28)-(39*x**27)-(39*x**26)-(39*x**25)-(39*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169343():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**30)-(40*x**29)-(40*x**28)-(40*x**27)-(40*x**26)-(40*x**25)-(40*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169344():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**30)-(41*x**29)-(41*x**28)-(41*x**27)-(41*x**26)-(41*x**25)-(41*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169345():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**30)-(42*x**29)-(42*x**28)-(42*x**27)-(42*x**26)-(42*x**25)-(42*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169346():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**30)-(43*x**29)-(43*x**28)-(43*x**27)-(43*x**26)-(43*x**25)-(43*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169347():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**30)-(44*x**29)-(44*x**28)-(44*x**27)-(44*x**26)-(44*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169348():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**30)-(45*x**29)-(45*x**28)-(45*x**27)-(45*x**26)-(45*x**25)-(45*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169349():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**30)-(46*x**29)-(46*x**28)-(46*x**27)-(46*x**26)-(46*x**25)-(46*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169350():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**30)-(47*x**29)-(47*x**28)-(47*x**27)-(47*x**26)-(47*x**25)-(47*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169351():
- x = SR.var('x')
- return { 'ogf': [((x**30+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**30)-(48*x**29)-(48*x**28)-(48*x**27)-(48*x**26)-(48*x**25)-(48*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169352():
- x = SR.var('x')
- return { 'ogf': [((x**30+x**29+x**28+x**27+x**26+x**25+x**24+x**23+x**22+x**21+x**20+x**19+x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)/((((((((((((((((((((((((((((((x**30-(2*x**29))+x**28)-(2*x**27))+x**26)-(2*x**25))+x**24)-(2*x**23))+x**22)-(2*x**21))+x**20)-(2*x**19))+x**18)-(2*x**17))+x**16)-(2*x**15))+x**14)-(2*x**13))+x**12)-(2*x**11))+x**10)-(2*x**9))+x**8)-(2*x**7))+x**6)-(2*x**5))+x**4)-(2*x**3))+x**2)-(2*x))+1))] }
-
-
-
-def A169353():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**31)-(2*x**30)-(2*x**29)-(2*x**28)-(2*x**27)-(2*x**26)-(2*x**25)-(2*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169354():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**31)-(3*x**30)-(3*x**29)-(3*x**28)-(3*x**27)-(3*x**26)-(3*x**25)-(3*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169355():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**31)-(4*x**30)-(4*x**29)-(4*x**28)-(4*x**27)-(4*x**26)-(4*x**25)-(4*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169356():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**31)-(5*x**30)-(5*x**29)-(5*x**28)-(5*x**27)-(5*x**26)-(5*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169357():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**31)-(6*x**30)-(6*x**29)-(6*x**28)-(6*x**27)-(6*x**26)-(6*x**25)-(6*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169358():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**31)-(7*x**30)-(7*x**29)-(7*x**28)-(7*x**27)-(7*x**26)-(7*x**25)-(7*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169359():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**31)-(8*x**30)-(8*x**29)-(8*x**28)-(8*x**27)-(8*x**26)-(8*x**25)-(8*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169360():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**31)-(9*x**30)-(9*x**29)-(9*x**28)-(9*x**27)-(9*x**26)-(9*x**25)-(9*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169361():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**31)-(10*x**30)-(10*x**29)-(10*x**28)-(10*x**27)-(10*x**26)-(10*x**25)-(10*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169362():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**31)-(11*x**30)-(11*x**29)-(11*x**28)-(11*x**27)-(11*x**26)-(11*x**25)-(11*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169363():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**31)-(12*x**30)-(12*x**29)-(12*x**28)-(12*x**27)-(12*x**26)-(12*x**25)-(12*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169364():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**31)-(13*x**30)-(13*x**29)-(13*x**28)-(13*x**27)-(13*x**26)-(13*x**25)-(13*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169365():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**31)-(14*x**30)-(14*x**29)-(14*x**28)-(14*x**27)-(14*x**26)-(14*x**25)-(14*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169366():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**31)-(15*x**30)-(15*x**29)-(15*x**28)-(15*x**27)-(15*x**26)-(15*x**25)-(15*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169367():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**31)-(16*x**30)-(16*x**29)-(16*x**28)-(16*x**27)-(16*x**26)-(16*x**25)-(16*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169368():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**31)-(17*x**30)-(17*x**29)-(17*x**28)-(17*x**27)-(17*x**26)-(17*x**25)-(17*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169369():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**31)-(18*x**30)-(18*x**29)-(18*x**28)-(18*x**27)-(18*x**26)-(18*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169370():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**31)-(19*x**30)-(19*x**29)-(19*x**28)-(19*x**27)-(19*x**26)-(19*x**25)-(19*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169371():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**31)-(20*x**30)-(20*x**29)-(20*x**28)-(20*x**27)-(20*x**26)-(20*x**25)-(20*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169372():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**31)-(21*x**30)-(21*x**29)-(21*x**28)-(21*x**27)-(21*x**26)-(21*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169373():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**31)-(22*x**30)-(22*x**29)-(22*x**28)-(22*x**27)-(22*x**26)-(22*x**25)-(22*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169374():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**31)-(23*x**30)-(23*x**29)-(23*x**28)-(23*x**27)-(23*x**26)-(23*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169375():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**31)-(24*x**30)-(24*x**29)-(24*x**28)-(24*x**27)-(24*x**26)-(24*x**25)-(24*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169376():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((325*x**31)-(25*x**30)-(25*x**29)-(25*x**28)-(25*x**27)-(25*x**26)-(25*x**25)-(25*x**24)-(25*x**23)-(25*x**22)-(25*x**21)-(25*x**20)-(25*x**19)-(25*x**18)-(25*x**17)-(25*x**16)-(25*x**15)-(25*x**14)-(25*x**13)-(25*x**12)-(25*x**11)-(25*x**10)-(25*x**9)-(25*x**8)-(25*x**7)-(25*x**6)-(25*x**5)-(25*x**4)-(25*x**3)-(25*x**2)-(25*x))+1))] }
-
-
-
-def A169377():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**31)-(26*x**30)-(26*x**29)-(26*x**28)-(26*x**27)-(26*x**26)-(26*x**25)-(26*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169378():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**31)-(27*x**30)-(27*x**29)-(27*x**28)-(27*x**27)-(27*x**26)-(27*x**25)-(27*x**24)-(27*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A169379():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**31)-(28*x**30)-(28*x**29)-(28*x**28)-(28*x**27)-(28*x**26)-(28*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169380():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**31)-(29*x**30)-(29*x**29)-(29*x**28)-(29*x**27)-(29*x**26)-(29*x**25)-(29*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169381():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**31)-(30*x**30)-(30*x**29)-(30*x**28)-(30*x**27)-(30*x**26)-(30*x**25)-(30*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169382():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**31)-(31*x**30)-(31*x**29)-(31*x**28)-(31*x**27)-(31*x**26)-(31*x**25)-(31*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169383():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**31)-(32*x**30)-(32*x**29)-(32*x**28)-(32*x**27)-(32*x**26)-(32*x**25)-(32*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169384():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**31)-(33*x**30)-(33*x**29)-(33*x**28)-(33*x**27)-(33*x**26)-(33*x**25)-(33*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169385():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**31)-(34*x**30)-(34*x**29)-(34*x**28)-(34*x**27)-(34*x**26)-(34*x**25)-(34*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169386():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**31)-(35*x**30)-(35*x**29)-(35*x**28)-(35*x**27)-(35*x**26)-(35*x**25)-(35*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169387():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**31)-(36*x**30)-(36*x**29)-(36*x**28)-(36*x**27)-(36*x**26)-(36*x**25)-(36*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169388():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**31)-(37*x**30)-(37*x**29)-(37*x**28)-(37*x**27)-(37*x**26)-(37*x**25)-(37*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169389():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**31)-(38*x**30)-(38*x**29)-(38*x**28)-(38*x**27)-(38*x**26)-(38*x**25)-(38*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169390():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**31)-(39*x**30)-(39*x**29)-(39*x**28)-(39*x**27)-(39*x**26)-(39*x**25)-(39*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169391():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**31)-(40*x**30)-(40*x**29)-(40*x**28)-(40*x**27)-(40*x**26)-(40*x**25)-(40*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169392():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**31)-(41*x**30)-(41*x**29)-(41*x**28)-(41*x**27)-(41*x**26)-(41*x**25)-(41*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169393():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**31)-(42*x**30)-(42*x**29)-(42*x**28)-(42*x**27)-(42*x**26)-(42*x**25)-(42*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169394():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**31)-(43*x**30)-(43*x**29)-(43*x**28)-(43*x**27)-(43*x**26)-(43*x**25)-(43*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169395():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**31)-(44*x**30)-(44*x**29)-(44*x**28)-(44*x**27)-(44*x**26)-(44*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169396():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**31)-(45*x**30)-(45*x**29)-(45*x**28)-(45*x**27)-(45*x**26)-(45*x**25)-(45*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169397():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**31)-(46*x**30)-(46*x**29)-(46*x**28)-(46*x**27)-(46*x**26)-(46*x**25)-(46*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169398():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**31)-(47*x**30)-(47*x**29)-(47*x**28)-(47*x**27)-(47*x**26)-(47*x**25)-(47*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169399():
- x = SR.var('x')
- return { 'ogf': [((x**31+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**31)-(48*x**30)-(48*x**29)-(48*x**28)-(48*x**27)-(48*x**26)-(48*x**25)-(48*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169400():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/((x**32-x**31-x**30-x**29-x**28-x**27-x**26-x**25-x**24-x**23-x**22-x**21-x**20-x**19-x**18-x**17-x**16-x**15-x**14-x**13-x**12-x**11-x**10-x**9-x**8-x**7-x**6-x**5-x**4-x**3-x**2-x)+1))] }
-
-
-
-def A169401():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((3*x**32)-(2*x**31)-(2*x**30)-(2*x**29)-(2*x**28)-(2*x**27)-(2*x**26)-(2*x**25)-(2*x**24)-(2*x**23)-(2*x**22)-(2*x**21)-(2*x**20)-(2*x**19)-(2*x**18)-(2*x**17)-(2*x**16)-(2*x**15)-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-(2*x**3)-(2*x**2)-(2*x))+1))] }
-
-
-
-def A169402():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((6*x**32)-(3*x**31)-(3*x**30)-(3*x**29)-(3*x**28)-(3*x**27)-(3*x**26)-(3*x**25)-(3*x**24)-(3*x**23)-(3*x**22)-(3*x**21)-(3*x**20)-(3*x**19)-(3*x**18)-(3*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-(3*x**13)-(3*x**12)-(3*x**11)-(3*x**10)-(3*x**9)-(3*x**8)-(3*x**7)-(3*x**6)-(3*x**5)-(3*x**4)-(3*x**3)-(3*x**2)-(3*x))+1))] }
-
-
-
-def A169403():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((10*x**32)-(4*x**31)-(4*x**30)-(4*x**29)-(4*x**28)-(4*x**27)-(4*x**26)-(4*x**25)-(4*x**24)-(4*x**23)-(4*x**22)-(4*x**21)-(4*x**20)-(4*x**19)-(4*x**18)-(4*x**17)-(4*x**16)-(4*x**15)-(4*x**14)-(4*x**13)-(4*x**12)-(4*x**11)-(4*x**10)-(4*x**9)-(4*x**8)-(4*x**7)-(4*x**6)-(4*x**5)-(4*x**4)-(4*x**3)-(4*x**2)-(4*x))+1))] }
-
-
-
-def A169404():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**32)-(5*x**31)-(5*x**30)-(5*x**29)-(5*x**28)-(5*x**27)-(5*x**26)-(5*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169405():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((21*x**32)-(6*x**31)-(6*x**30)-(6*x**29)-(6*x**28)-(6*x**27)-(6*x**26)-(6*x**25)-(6*x**24)-(6*x**23)-(6*x**22)-(6*x**21)-(6*x**20)-(6*x**19)-(6*x**18)-(6*x**17)-(6*x**16)-(6*x**15)-(6*x**14)-(6*x**13)-(6*x**12)-(6*x**11)-(6*x**10)-(6*x**9)-(6*x**8)-(6*x**7)-(6*x**6)-(6*x**5)-(6*x**4)-(6*x**3)-(6*x**2)-(6*x))+1))] }
-
-
-
-def A169406():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((28*x**32)-(7*x**31)-(7*x**30)-(7*x**29)-(7*x**28)-(7*x**27)-(7*x**26)-(7*x**25)-(7*x**24)-(7*x**23)-(7*x**22)-(7*x**21)-(7*x**20)-(7*x**19)-(7*x**18)-(7*x**17)-(7*x**16)-(7*x**15)-(7*x**14)-(7*x**13)-(7*x**12)-(7*x**11)-(7*x**10)-(7*x**9)-(7*x**8)-(7*x**7)-(7*x**6)-(7*x**5)-(7*x**4)-(7*x**3)-(7*x**2)-(7*x))+1))] }
-
-
-
-def A169407():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((36*x**32)-(8*x**31)-(8*x**30)-(8*x**29)-(8*x**28)-(8*x**27)-(8*x**26)-(8*x**25)-(8*x**24)-(8*x**23)-(8*x**22)-(8*x**21)-(8*x**20)-(8*x**19)-(8*x**18)-(8*x**17)-(8*x**16)-(8*x**15)-(8*x**14)-(8*x**13)-(8*x**12)-(8*x**11)-(8*x**10)-(8*x**9)-(8*x**8)-(8*x**7)-(8*x**6)-(8*x**5)-(8*x**4)-(8*x**3)-(8*x**2)-(8*x))+1))] }
-
-
-
-def A169408():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((45*x**32)-(9*x**31)-(9*x**30)-(9*x**29)-(9*x**28)-(9*x**27)-(9*x**26)-(9*x**25)-(9*x**24)-(9*x**23)-(9*x**22)-(9*x**21)-(9*x**20)-(9*x**19)-(9*x**18)-(9*x**17)-(9*x**16)-(9*x**15)-(9*x**14)-(9*x**13)-(9*x**12)-(9*x**11)-(9*x**10)-(9*x**9)-(9*x**8)-(9*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2)-(9*x))+1))] }
-
-
-
-def A169409():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((55*x**32)-(10*x**31)-(10*x**30)-(10*x**29)-(10*x**28)-(10*x**27)-(10*x**26)-(10*x**25)-(10*x**24)-(10*x**23)-(10*x**22)-(10*x**21)-(10*x**20)-(10*x**19)-(10*x**18)-(10*x**17)-(10*x**16)-(10*x**15)-(10*x**14)-(10*x**13)-(10*x**12)-(10*x**11)-(10*x**10)-(10*x**9)-(10*x**8)-(10*x**7)-(10*x**6)-(10*x**5)-(10*x**4)-(10*x**3)-(10*x**2)-(10*x))+1))] }
-
-
-
-def A169410():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((66*x**32)-(11*x**31)-(11*x**30)-(11*x**29)-(11*x**28)-(11*x**27)-(11*x**26)-(11*x**25)-(11*x**24)-(11*x**23)-(11*x**22)-(11*x**21)-(11*x**20)-(11*x**19)-(11*x**18)-(11*x**17)-(11*x**16)-(11*x**15)-(11*x**14)-(11*x**13)-(11*x**12)-(11*x**11)-(11*x**10)-(11*x**9)-(11*x**8)-(11*x**7)-(11*x**6)-(11*x**5)-(11*x**4)-(11*x**3)-(11*x**2)-(11*x))+1))] }
-
-
-
-def A169411():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((78*x**32)-(12*x**31)-(12*x**30)-(12*x**29)-(12*x**28)-(12*x**27)-(12*x**26)-(12*x**25)-(12*x**24)-(12*x**23)-(12*x**22)-(12*x**21)-(12*x**20)-(12*x**19)-(12*x**18)-(12*x**17)-(12*x**16)-(12*x**15)-(12*x**14)-(12*x**13)-(12*x**12)-(12*x**11)-(12*x**10)-(12*x**9)-(12*x**8)-(12*x**7)-(12*x**6)-(12*x**5)-(12*x**4)-(12*x**3)-(12*x**2)-(12*x))+1))] }
-
-
-
-def A169412():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((91*x**32)-(13*x**31)-(13*x**30)-(13*x**29)-(13*x**28)-(13*x**27)-(13*x**26)-(13*x**25)-(13*x**24)-(13*x**23)-(13*x**22)-(13*x**21)-(13*x**20)-(13*x**19)-(13*x**18)-(13*x**17)-(13*x**16)-(13*x**15)-(13*x**14)-(13*x**13)-(13*x**12)-(13*x**11)-(13*x**10)-(13*x**9)-(13*x**8)-(13*x**7)-(13*x**6)-(13*x**5)-(13*x**4)-(13*x**3)-(13*x**2)-(13*x))+1))] }
-
-
-
-def A169413():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((105*x**32)-(14*x**31)-(14*x**30)-(14*x**29)-(14*x**28)-(14*x**27)-(14*x**26)-(14*x**25)-(14*x**24)-(14*x**23)-(14*x**22)-(14*x**21)-(14*x**20)-(14*x**19)-(14*x**18)-(14*x**17)-(14*x**16)-(14*x**15)-(14*x**14)-(14*x**13)-(14*x**12)-(14*x**11)-(14*x**10)-(14*x**9)-(14*x**8)-(14*x**7)-(14*x**6)-(14*x**5)-(14*x**4)-(14*x**3)-(14*x**2)-(14*x))+1))] }
-
-
-
-def A169414():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((120*x**32)-(15*x**31)-(15*x**30)-(15*x**29)-(15*x**28)-(15*x**27)-(15*x**26)-(15*x**25)-(15*x**24)-(15*x**23)-(15*x**22)-(15*x**21)-(15*x**20)-(15*x**19)-(15*x**18)-(15*x**17)-(15*x**16)-(15*x**15)-(15*x**14)-(15*x**13)-(15*x**12)-(15*x**11)-(15*x**10)-(15*x**9)-(15*x**8)-(15*x**7)-(15*x**6)-(15*x**5)-(15*x**4)-(15*x**3)-(15*x**2)-(15*x))+1))] }
-
-
-
-def A169415():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((136*x**32)-(16*x**31)-(16*x**30)-(16*x**29)-(16*x**28)-(16*x**27)-(16*x**26)-(16*x**25)-(16*x**24)-(16*x**23)-(16*x**22)-(16*x**21)-(16*x**20)-(16*x**19)-(16*x**18)-(16*x**17)-(16*x**16)-(16*x**15)-(16*x**14)-(16*x**13)-(16*x**12)-(16*x**11)-(16*x**10)-(16*x**9)-(16*x**8)-(16*x**7)-(16*x**6)-(16*x**5)-(16*x**4)-(16*x**3)-(16*x**2)-(16*x))+1))] }
-
-
-
-def A169416():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((153*x**32)-(17*x**31)-(17*x**30)-(17*x**29)-(17*x**28)-(17*x**27)-(17*x**26)-(17*x**25)-(17*x**24)-(17*x**23)-(17*x**22)-(17*x**21)-(17*x**20)-(17*x**19)-(17*x**18)-(17*x**17)-(17*x**16)-(17*x**15)-(17*x**14)-(17*x**13)-(17*x**12)-(17*x**11)-(17*x**10)-(17*x**9)-(17*x**8)-(17*x**7)-(17*x**6)-(17*x**5)-(17*x**4)-(17*x**3)-(17*x**2)-(17*x))+1))] }
-
-
-
-def A169417():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**32)-(18*x**31)-(18*x**30)-(18*x**29)-(18*x**28)-(18*x**27)-(18*x**26)-(18*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A169418():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((190*x**32)-(19*x**31)-(19*x**30)-(19*x**29)-(19*x**28)-(19*x**27)-(19*x**26)-(19*x**25)-(19*x**24)-(19*x**23)-(19*x**22)-(19*x**21)-(19*x**20)-(19*x**19)-(19*x**18)-(19*x**17)-(19*x**16)-(19*x**15)-(19*x**14)-(19*x**13)-(19*x**12)-(19*x**11)-(19*x**10)-(19*x**9)-(19*x**8)-(19*x**7)-(19*x**6)-(19*x**5)-(19*x**4)-(19*x**3)-(19*x**2)-(19*x))+1))] }
-
-
-
-def A169419():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((210*x**32)-(20*x**31)-(20*x**30)-(20*x**29)-(20*x**28)-(20*x**27)-(20*x**26)-(20*x**25)-(20*x**24)-(20*x**23)-(20*x**22)-(20*x**21)-(20*x**20)-(20*x**19)-(20*x**18)-(20*x**17)-(20*x**16)-(20*x**15)-(20*x**14)-(20*x**13)-(20*x**12)-(20*x**11)-(20*x**10)-(20*x**9)-(20*x**8)-(20*x**7)-(20*x**6)-(20*x**5)-(20*x**4)-(20*x**3)-(20*x**2)-(20*x))+1))] }
-
-
-
-def A169420():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**32)-(21*x**31)-(21*x**30)-(21*x**29)-(21*x**28)-(21*x**27)-(21*x**26)-(21*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A169421():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((253*x**32)-(22*x**31)-(22*x**30)-(22*x**29)-(22*x**28)-(22*x**27)-(22*x**26)-(22*x**25)-(22*x**24)-(22*x**23)-(22*x**22)-(22*x**21)-(22*x**20)-(22*x**19)-(22*x**18)-(22*x**17)-(22*x**16)-(22*x**15)-(22*x**14)-(22*x**13)-(22*x**12)-(22*x**11)-(22*x**10)-(22*x**9)-(22*x**8)-(22*x**7)-(22*x**6)-(22*x**5)-(22*x**4)-(22*x**3)-(22*x**2)-(22*x))+1))] }
-
-
-
-def A169422():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**32)-(23*x**31)-(23*x**30)-(23*x**29)-(23*x**28)-(23*x**27)-(23*x**26)-(23*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169423():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((300*x**32)-(24*x**31)-(24*x**30)-(24*x**29)-(24*x**28)-(24*x**27)-(24*x**26)-(24*x**25)-(24*x**24)-(24*x**23)-(24*x**22)-(24*x**21)-(24*x**20)-(24*x**19)-(24*x**18)-(24*x**17)-(24*x**16)-(24*x**15)-(24*x**14)-(24*x**13)-(24*x**12)-(24*x**11)-(24*x**10)-(24*x**9)-(24*x**8)-(24*x**7)-(24*x**6)-(24*x**5)-(24*x**4)-(24*x**3)-(24*x**2)-(24*x))+1))] }
-
-
-
-def A169425():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((351*x**32)-(26*x**31)-(26*x**30)-(26*x**29)-(26*x**28)-(26*x**27)-(26*x**26)-(26*x**25)-(26*x**24)-(26*x**23)-(26*x**22)-(26*x**21)-(26*x**20)-(26*x**19)-(26*x**18)-(26*x**17)-(26*x**16)-(26*x**15)-(26*x**14)-(26*x**13)-(26*x**12)-(26*x**11)-(26*x**10)-(26*x**9)-(26*x**8)-(26*x**7)-(26*x**6)-(26*x**5)-(26*x**4)-(26*x**3)-(26*x**2)-(26*x))+1))] }
-
-
-
-def A169426():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((378*x**32)-(27*x**31)-(27*x**30)-(27*x**29)-(27*x**28)-(27*x**27)-(27*x**26)-(27*x**25)-(27*x**24)-(27*x**23)-(27*x**22)-(27*x**21)-(27*x**20)-(27*x**19)-(27*x**18)-(27*x**17)-(27*x**16)-(27*x**15)-(27*x**14)-(27*x**13)-(27*x**12)-(27*x**11)-(27*x**10)-(27*x**9)-(27*x**8)-(27*x**7)-(27*x**6)-(27*x**5)-(27*x**4)-(27*x**3)-(27*x**2)-(27*x))+1))] }
-
-
-
-def A169427():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**32)-(28*x**31)-(28*x**30)-(28*x**29)-(28*x**28)-(28*x**27)-(28*x**26)-(28*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A169428():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((435*x**32)-(29*x**31)-(29*x**30)-(29*x**29)-(29*x**28)-(29*x**27)-(29*x**26)-(29*x**25)-(29*x**24)-(29*x**23)-(29*x**22)-(29*x**21)-(29*x**20)-(29*x**19)-(29*x**18)-(29*x**17)-(29*x**16)-(29*x**15)-(29*x**14)-(29*x**13)-(29*x**12)-(29*x**11)-(29*x**10)-(29*x**9)-(29*x**8)-(29*x**7)-(29*x**6)-(29*x**5)-(29*x**4)-(29*x**3)-(29*x**2)-(29*x))+1))] }
-
-
-
-def A169429():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((465*x**32)-(30*x**31)-(30*x**30)-(30*x**29)-(30*x**28)-(30*x**27)-(30*x**26)-(30*x**25)-(30*x**24)-(30*x**23)-(30*x**22)-(30*x**21)-(30*x**20)-(30*x**19)-(30*x**18)-(30*x**17)-(30*x**16)-(30*x**15)-(30*x**14)-(30*x**13)-(30*x**12)-(30*x**11)-(30*x**10)-(30*x**9)-(30*x**8)-(30*x**7)-(30*x**6)-(30*x**5)-(30*x**4)-(30*x**3)-(30*x**2)-(30*x))+1))] }
-
-
-
-def A169430():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((496*x**32)-(31*x**31)-(31*x**30)-(31*x**29)-(31*x**28)-(31*x**27)-(31*x**26)-(31*x**25)-(31*x**24)-(31*x**23)-(31*x**22)-(31*x**21)-(31*x**20)-(31*x**19)-(31*x**18)-(31*x**17)-(31*x**16)-(31*x**15)-(31*x**14)-(31*x**13)-(31*x**12)-(31*x**11)-(31*x**10)-(31*x**9)-(31*x**8)-(31*x**7)-(31*x**6)-(31*x**5)-(31*x**4)-(31*x**3)-(31*x**2)-(31*x))+1))] }
-
-
-
-def A169431():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((528*x**32)-(32*x**31)-(32*x**30)-(32*x**29)-(32*x**28)-(32*x**27)-(32*x**26)-(32*x**25)-(32*x**24)-(32*x**23)-(32*x**22)-(32*x**21)-(32*x**20)-(32*x**19)-(32*x**18)-(32*x**17)-(32*x**16)-(32*x**15)-(32*x**14)-(32*x**13)-(32*x**12)-(32*x**11)-(32*x**10)-(32*x**9)-(32*x**8)-(32*x**7)-(32*x**6)-(32*x**5)-(32*x**4)-(32*x**3)-(32*x**2)-(32*x))+1))] }
-
-
-
-def A169432():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((561*x**32)-(33*x**31)-(33*x**30)-(33*x**29)-(33*x**28)-(33*x**27)-(33*x**26)-(33*x**25)-(33*x**24)-(33*x**23)-(33*x**22)-(33*x**21)-(33*x**20)-(33*x**19)-(33*x**18)-(33*x**17)-(33*x**16)-(33*x**15)-(33*x**14)-(33*x**13)-(33*x**12)-(33*x**11)-(33*x**10)-(33*x**9)-(33*x**8)-(33*x**7)-(33*x**6)-(33*x**5)-(33*x**4)-(33*x**3)-(33*x**2)-(33*x))+1))] }
-
-
-
-def A169433():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((595*x**32)-(34*x**31)-(34*x**30)-(34*x**29)-(34*x**28)-(34*x**27)-(34*x**26)-(34*x**25)-(34*x**24)-(34*x**23)-(34*x**22)-(34*x**21)-(34*x**20)-(34*x**19)-(34*x**18)-(34*x**17)-(34*x**16)-(34*x**15)-(34*x**14)-(34*x**13)-(34*x**12)-(34*x**11)-(34*x**10)-(34*x**9)-(34*x**8)-(34*x**7)-(34*x**6)-(34*x**5)-(34*x**4)-(34*x**3)-(34*x**2)-(34*x))+1))] }
-
-
-
-def A169434():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((630*x**32)-(35*x**31)-(35*x**30)-(35*x**29)-(35*x**28)-(35*x**27)-(35*x**26)-(35*x**25)-(35*x**24)-(35*x**23)-(35*x**22)-(35*x**21)-(35*x**20)-(35*x**19)-(35*x**18)-(35*x**17)-(35*x**16)-(35*x**15)-(35*x**14)-(35*x**13)-(35*x**12)-(35*x**11)-(35*x**10)-(35*x**9)-(35*x**8)-(35*x**7)-(35*x**6)-(35*x**5)-(35*x**4)-(35*x**3)-(35*x**2)-(35*x))+1))] }
-
-
-
-def A169435():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((666*x**32)-(36*x**31)-(36*x**30)-(36*x**29)-(36*x**28)-(36*x**27)-(36*x**26)-(36*x**25)-(36*x**24)-(36*x**23)-(36*x**22)-(36*x**21)-(36*x**20)-(36*x**19)-(36*x**18)-(36*x**17)-(36*x**16)-(36*x**15)-(36*x**14)-(36*x**13)-(36*x**12)-(36*x**11)-(36*x**10)-(36*x**9)-(36*x**8)-(36*x**7)-(36*x**6)-(36*x**5)-(36*x**4)-(36*x**3)-(36*x**2)-(36*x))+1))] }
-
-
-
-def A169436():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((703*x**32)-(37*x**31)-(37*x**30)-(37*x**29)-(37*x**28)-(37*x**27)-(37*x**26)-(37*x**25)-(37*x**24)-(37*x**23)-(37*x**22)-(37*x**21)-(37*x**20)-(37*x**19)-(37*x**18)-(37*x**17)-(37*x**16)-(37*x**15)-(37*x**14)-(37*x**13)-(37*x**12)-(37*x**11)-(37*x**10)-(37*x**9)-(37*x**8)-(37*x**7)-(37*x**6)-(37*x**5)-(37*x**4)-(37*x**3)-(37*x**2)-(37*x))+1))] }
-
-
-
-def A169437():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((741*x**32)-(38*x**31)-(38*x**30)-(38*x**29)-(38*x**28)-(38*x**27)-(38*x**26)-(38*x**25)-(38*x**24)-(38*x**23)-(38*x**22)-(38*x**21)-(38*x**20)-(38*x**19)-(38*x**18)-(38*x**17)-(38*x**16)-(38*x**15)-(38*x**14)-(38*x**13)-(38*x**12)-(38*x**11)-(38*x**10)-(38*x**9)-(38*x**8)-(38*x**7)-(38*x**6)-(38*x**5)-(38*x**4)-(38*x**3)-(38*x**2)-(38*x))+1))] }
-
-
-
-def A169438():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((780*x**32)-(39*x**31)-(39*x**30)-(39*x**29)-(39*x**28)-(39*x**27)-(39*x**26)-(39*x**25)-(39*x**24)-(39*x**23)-(39*x**22)-(39*x**21)-(39*x**20)-(39*x**19)-(39*x**18)-(39*x**17)-(39*x**16)-(39*x**15)-(39*x**14)-(39*x**13)-(39*x**12)-(39*x**11)-(39*x**10)-(39*x**9)-(39*x**8)-(39*x**7)-(39*x**6)-(39*x**5)-(39*x**4)-(39*x**3)-(39*x**2)-(39*x))+1))] }
-
-
-
-def A169439():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((820*x**32)-(40*x**31)-(40*x**30)-(40*x**29)-(40*x**28)-(40*x**27)-(40*x**26)-(40*x**25)-(40*x**24)-(40*x**23)-(40*x**22)-(40*x**21)-(40*x**20)-(40*x**19)-(40*x**18)-(40*x**17)-(40*x**16)-(40*x**15)-(40*x**14)-(40*x**13)-(40*x**12)-(40*x**11)-(40*x**10)-(40*x**9)-(40*x**8)-(40*x**7)-(40*x**6)-(40*x**5)-(40*x**4)-(40*x**3)-(40*x**2)-(40*x))+1))] }
-
-
-
-def A169440():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((861*x**32)-(41*x**31)-(41*x**30)-(41*x**29)-(41*x**28)-(41*x**27)-(41*x**26)-(41*x**25)-(41*x**24)-(41*x**23)-(41*x**22)-(41*x**21)-(41*x**20)-(41*x**19)-(41*x**18)-(41*x**17)-(41*x**16)-(41*x**15)-(41*x**14)-(41*x**13)-(41*x**12)-(41*x**11)-(41*x**10)-(41*x**9)-(41*x**8)-(41*x**7)-(41*x**6)-(41*x**5)-(41*x**4)-(41*x**3)-(41*x**2)-(41*x))+1))] }
-
-
-
-def A169441():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((903*x**32)-(42*x**31)-(42*x**30)-(42*x**29)-(42*x**28)-(42*x**27)-(42*x**26)-(42*x**25)-(42*x**24)-(42*x**23)-(42*x**22)-(42*x**21)-(42*x**20)-(42*x**19)-(42*x**18)-(42*x**17)-(42*x**16)-(42*x**15)-(42*x**14)-(42*x**13)-(42*x**12)-(42*x**11)-(42*x**10)-(42*x**9)-(42*x**8)-(42*x**7)-(42*x**6)-(42*x**5)-(42*x**4)-(42*x**3)-(42*x**2)-(42*x))+1))] }
-
-
-
-def A169442():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((946*x**32)-(43*x**31)-(43*x**30)-(43*x**29)-(43*x**28)-(43*x**27)-(43*x**26)-(43*x**25)-(43*x**24)-(43*x**23)-(43*x**22)-(43*x**21)-(43*x**20)-(43*x**19)-(43*x**18)-(43*x**17)-(43*x**16)-(43*x**15)-(43*x**14)-(43*x**13)-(43*x**12)-(43*x**11)-(43*x**10)-(43*x**9)-(43*x**8)-(43*x**7)-(43*x**6)-(43*x**5)-(43*x**4)-(43*x**3)-(43*x**2)-(43*x))+1))] }
-
-
-
-def A169443():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**32)-(44*x**31)-(44*x**30)-(44*x**29)-(44*x**28)-(44*x**27)-(44*x**26)-(44*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A169444():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1035*x**32)-(45*x**31)-(45*x**30)-(45*x**29)-(45*x**28)-(45*x**27)-(45*x**26)-(45*x**25)-(45*x**24)-(45*x**23)-(45*x**22)-(45*x**21)-(45*x**20)-(45*x**19)-(45*x**18)-(45*x**17)-(45*x**16)-(45*x**15)-(45*x**14)-(45*x**13)-(45*x**12)-(45*x**11)-(45*x**10)-(45*x**9)-(45*x**8)-(45*x**7)-(45*x**6)-(45*x**5)-(45*x**4)-(45*x**3)-(45*x**2)-(45*x))+1))] }
-
-
-
-def A169445():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1081*x**32)-(46*x**31)-(46*x**30)-(46*x**29)-(46*x**28)-(46*x**27)-(46*x**26)-(46*x**25)-(46*x**24)-(46*x**23)-(46*x**22)-(46*x**21)-(46*x**20)-(46*x**19)-(46*x**18)-(46*x**17)-(46*x**16)-(46*x**15)-(46*x**14)-(46*x**13)-(46*x**12)-(46*x**11)-(46*x**10)-(46*x**9)-(46*x**8)-(46*x**7)-(46*x**6)-(46*x**5)-(46*x**4)-(46*x**3)-(46*x**2)-(46*x))+1))] }
-
-
-
-def A169446():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1128*x**32)-(47*x**31)-(47*x**30)-(47*x**29)-(47*x**28)-(47*x**27)-(47*x**26)-(47*x**25)-(47*x**24)-(47*x**23)-(47*x**22)-(47*x**21)-(47*x**20)-(47*x**19)-(47*x**18)-(47*x**17)-(47*x**16)-(47*x**15)-(47*x**14)-(47*x**13)-(47*x**12)-(47*x**11)-(47*x**10)-(47*x**9)-(47*x**8)-(47*x**7)-(47*x**6)-(47*x**5)-(47*x**4)-(47*x**3)-(47*x**2)-(47*x))+1))] }
-
-
-
-def A169447():
- x = SR.var('x')
- return { 'ogf': [((x**32+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((1176*x**32)-(48*x**31)-(48*x**30)-(48*x**29)-(48*x**28)-(48*x**27)-(48*x**26)-(48*x**25)-(48*x**24)-(48*x**23)-(48*x**22)-(48*x**21)-(48*x**20)-(48*x**19)-(48*x**18)-(48*x**17)-(48*x**16)-(48*x**15)-(48*x**14)-(48*x**13)-(48*x**12)-(48*x**11)-(48*x**10)-(48*x**9)-(48*x**8)-(48*x**7)-(48*x**6)-(48*x**5)-(48*x**4)-(48*x**3)-(48*x**2)-(48*x))+1))] }
-
-
-
-def A169452():
- x = SR.var('x')
- return { 'ogf': [((x**33+(2*x**32)+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((15*x**33)-(5*x**32)-(5*x**31)-(5*x**30)-(5*x**29)-(5*x**28)-(5*x**27)-(5*x**26)-(5*x**25)-(5*x**24)-(5*x**23)-(5*x**22)-(5*x**21)-(5*x**20)-(5*x**19)-(5*x**18)-(5*x**17)-(5*x**16)-(5*x**15)-(5*x**14)-(5*x**13)-(5*x**12)-(5*x**11)-(5*x**10)-(5*x**9)-(5*x**8)-(5*x**7)-(5*x**6)-(5*x**5)-(5*x**4)-(5*x**3)-(5*x**2)-(5*x))+1))] }
-
-
-
-def A169566():
- x = SR.var('x')
- return { 'ogf': [((x**35+(2*x**34)+(2*x**33)+(2*x**32)+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((276*x**35)-(23*x**34)-(23*x**33)-(23*x**32)-(23*x**31)-(23*x**30)-(23*x**29)-(23*x**28)-(23*x**27)-(23*x**26)-(23*x**25)-(23*x**24)-(23*x**23)-(23*x**22)-(23*x**21)-(23*x**20)-(23*x**19)-(23*x**18)-(23*x**17)-(23*x**16)-(23*x**15)-(23*x**14)-(23*x**13)-(23*x**12)-(23*x**11)-(23*x**10)-(23*x**9)-(23*x**8)-(23*x**7)-(23*x**6)-(23*x**5)-(23*x**4)-(23*x**3)-(23*x**2)-(23*x))+1))] }
-
-
-
-def A169592():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+x**4)-x**5)+x**6)-x**2-(4*x**3))/((1-x)*((3*x**3)-1)*((x**4+x**2)-1)))] }
-
-
-
-def A169597():
- x = SR.var('x')
- return { 'ogf': [((x*((59+(13*x))-(53*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A169598():
- x = SR.var('x')
- return { 'ogf': [((x*((87+(8*x))-(72*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A169599():
- x = SR.var('x')
- return { 'ogf': [((x*((139+(10*x))-(120*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A169600():
- x = SR.var('x')
- return { 'ogf': [((x*((159+(21*x))-(149*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A169604():
- x = SR.var('x')
- return { 'ogf': [(3/(1-(6*x)))] }
-
-
-
-def A169607():
- x = SR.var('x')
- return { 'ogf': [((7*x*(1+x))/(x-1)**4)] }
-
-
-
-def A169609():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(3*x**2))/(1-x**3))] }
-
-
-
-def A169610():
- x = SR.var('x')
- return { 'ogf': [((x*((227+(25*x))-(215*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A169622():
- x = SR.var('x')
- return { 'ogf': [((x*((-5)+(4*x)+(4*x**2)))/((1-x)*((x**2+x)-1)))] }
-
-
-
-def A169630():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(2*x))+(4*x**2))-(2*x**3))+x**4))/((1+x)**2*((x**2-(3*x))+1)**2))] }
-
-
-
-def A169634():
- x = SR.var('x')
- return { 'ogf': [(3/(1-(7*x)))] }
-
-
-
-def A169642():
- x = SR.var('x')
- return { 'ogf': [(-((x*(3+(20*x)+(12*x**2)+(12*x**3)+x**4))/((x-1)**3*(1+x)**3)))] }
-
-
-
-def A169686():
- x = SR.var('x')
- return { 'ogf': [((30*x**2*((x**2-(9*x))+1))/(((x**2-(198*x))+1)*((x**2-(6*x))+1)))] }
-
-
-
-def A169718():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**5)*(1-x**10)*(1-x**25)*(1-x**50)*(1-x**100)))] }
-
-
-
-def A169720():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-x**2)/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A169721():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x)+(2*x**2))/(((1-(7*x))+(14*x**2))-(8*x**3)))] }
-
-
-
-def A169722():
- x = SR.var('x')
- return { 'ogf': [((1+(15*x)+(5*x**2))/(((1-(7*x))+(14*x**2))-(8*x**3)))] }
-
-
-
-def A169726():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x**2))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A169727():
- x = SR.var('x')
- return { 'ogf': [(-((1+(12*x)+(8*x**2))/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A169793():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)))**6] }
-
-
-
-def A169794():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)))**7] }
-
-
-
-def A169795():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)))**8] }
-
-
-
-def A169796():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)))**9] }
-
-
-
-def A169801():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+x)*(x**2+(8*x)+1))/(1-x)**7)] }
-
-
-
-def A169831():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-(2*x**2))/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A169832():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(11*x))-(4*x**2)))/((1-(2*x))*(1-x)**3))] }
-
-
-
-def A169833():
- x = SR.var('x')
- return { 'ogf': [((2*((1+(10*x)+(3*x**2))-(4*x**3)))/((1-(2*x))*(1-x)**4))] }
-
-
-
-def A169963():
- x = SR.var('x')
- return { 'ogf': [(-(((14*x)-5)/(((2*x)-1)*((10*x)-1))))] }
-
-
-
-def A169986():
- x = SR.var('x')
- return { 'ogf': [((((-x)+x**2+x**3+x**4)-1)/((1-x)*(1+x)*((x**2+x)-1)))] }
-
-
-
-def A169998():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1+x+(2*x**2)))] }
-
-
-
-def A170183():
- x = SR.var('x')
- return { 'ogf': [((x**39+(2*x**38)+(2*x**37)+(2*x**36)+(2*x**35)+(2*x**34)+(2*x**33)+(2*x**32)+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((406*x**39)-(28*x**38)-(28*x**37)-(28*x**36)-(28*x**35)-(28*x**34)-(28*x**33)-(28*x**32)-(28*x**31)-(28*x**30)-(28*x**29)-(28*x**28)-(28*x**27)-(28*x**26)-(28*x**25)-(28*x**24)-(28*x**23)-(28*x**22)-(28*x**21)-(28*x**20)-(28*x**19)-(28*x**18)-(28*x**17)-(28*x**16)-(28*x**15)-(28*x**14)-(28*x**13)-(28*x**12)-(28*x**11)-(28*x**10)-(28*x**9)-(28*x**8)-(28*x**7)-(28*x**6)-(28*x**5)-(28*x**4)-(28*x**3)-(28*x**2)-(28*x))+1))] }
-
-
-
-def A170365():
- x = SR.var('x')
- return { 'ogf': [((x**43+(2*x**42)+(2*x**41)+(2*x**40)+(2*x**39)+(2*x**38)+(2*x**37)+(2*x**36)+(2*x**35)+(2*x**34)+(2*x**33)+(2*x**32)+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((171*x**43)-(18*x**42)-(18*x**41)-(18*x**40)-(18*x**39)-(18*x**38)-(18*x**37)-(18*x**36)-(18*x**35)-(18*x**34)-(18*x**33)-(18*x**32)-(18*x**31)-(18*x**30)-(18*x**29)-(18*x**28)-(18*x**27)-(18*x**26)-(18*x**25)-(18*x**24)-(18*x**23)-(18*x**22)-(18*x**21)-(18*x**20)-(18*x**19)-(18*x**18)-(18*x**17)-(18*x**16)-(18*x**15)-(18*x**14)-(18*x**13)-(18*x**12)-(18*x**11)-(18*x**10)-(18*x**9)-(18*x**8)-(18*x**7)-(18*x**6)-(18*x**5)-(18*x**4)-(18*x**3)-(18*x**2)-(18*x))+1))] }
-
-
-
-def A170368():
- x = SR.var('x')
- return { 'ogf': [((x**43+(2*x**42)+(2*x**41)+(2*x**40)+(2*x**39)+(2*x**38)+(2*x**37)+(2*x**36)+(2*x**35)+(2*x**34)+(2*x**33)+(2*x**32)+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((231*x**43)-(21*x**42)-(21*x**41)-(21*x**40)-(21*x**39)-(21*x**38)-(21*x**37)-(21*x**36)-(21*x**35)-(21*x**34)-(21*x**33)-(21*x**32)-(21*x**31)-(21*x**30)-(21*x**29)-(21*x**28)-(21*x**27)-(21*x**26)-(21*x**25)-(21*x**24)-(21*x**23)-(21*x**22)-(21*x**21)-(21*x**20)-(21*x**19)-(21*x**18)-(21*x**17)-(21*x**16)-(21*x**15)-(21*x**14)-(21*x**13)-(21*x**12)-(21*x**11)-(21*x**10)-(21*x**9)-(21*x**8)-(21*x**7)-(21*x**6)-(21*x**5)-(21*x**4)-(21*x**3)-(21*x**2)-(21*x))+1))] }
-
-
-
-def A170679():
- x = SR.var('x')
- return { 'ogf': [((x**49+(2*x**48)+(2*x**47)+(2*x**46)+(2*x**45)+(2*x**44)+(2*x**43)+(2*x**42)+(2*x**41)+(2*x**40)+(2*x**39)+(2*x**38)+(2*x**37)+(2*x**36)+(2*x**35)+(2*x**34)+(2*x**33)+(2*x**32)+(2*x**31)+(2*x**30)+(2*x**29)+(2*x**28)+(2*x**27)+(2*x**26)+(2*x**25)+(2*x**24)+(2*x**23)+(2*x**22)+(2*x**21)+(2*x**20)+(2*x**19)+(2*x**18)+(2*x**17)+(2*x**16)+(2*x**15)+(2*x**14)+(2*x**13)+(2*x**12)+(2*x**11)+(2*x**10)+(2*x**9)+(2*x**8)+(2*x**7)+(2*x**6)+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1)/(((990*x**49)-(44*x**48)-(44*x**47)-(44*x**46)-(44*x**45)-(44*x**44)-(44*x**43)-(44*x**42)-(44*x**41)-(44*x**40)-(44*x**39)-(44*x**38)-(44*x**37)-(44*x**36)-(44*x**35)-(44*x**34)-(44*x**33)-(44*x**32)-(44*x**31)-(44*x**30)-(44*x**29)-(44*x**28)-(44*x**27)-(44*x**26)-(44*x**25)-(44*x**24)-(44*x**23)-(44*x**22)-(44*x**21)-(44*x**20)-(44*x**19)-(44*x**18)-(44*x**17)-(44*x**16)-(44*x**15)-(44*x**14)-(44*x**13)-(44*x**12)-(44*x**11)-(44*x**10)-(44*x**9)-(44*x**8)-(44*x**7)-(44*x**6)-(44*x**5)-(44*x**4)-(44*x**3)-(44*x**2)-(44*x))+1))] }
-
-
-
-def A170732():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(12*x)))] }
-
-
-
-def A170733():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(13*x)))] }
-
-
-
-def A170734():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(14*x)))] }
-
-
-
-def A170735():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(15*x)))] }
-
-
-
-def A170736():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(16*x)))] }
-
-
-
-def A170737():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(17*x)))] }
-
-
-
-def A170738():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(18*x)))] }
-
-
-
-def A170739():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(19*x)))] }
-
-
-
-def A170740():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(20*x)))] }
-
-
-
-def A170741():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(21*x)))] }
-
-
-
-def A170742():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(22*x)))] }
-
-
-
-def A170743():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(23*x)))] }
-
-
-
-def A170744():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(24*x)))] }
-
-
-
-def A170745():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(25*x)))] }
-
-
-
-def A170746():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(26*x)))] }
-
-
-
-def A170747():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(27*x)))] }
-
-
-
-def A170748():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(28*x)))] }
-
-
-
-def A170749():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(29*x)))] }
-
-
-
-def A170750():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(30*x)))] }
-
-
-
-def A170751():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(31*x)))] }
-
-
-
-def A170752():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(32*x)))] }
-
-
-
-def A170753():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(33*x)))] }
-
-
-
-def A170754():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(34*x)))] }
-
-
-
-def A170755():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(35*x)))] }
-
-
-
-def A170756():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(36*x)))] }
-
-
-
-def A170757():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(37*x)))] }
-
-
-
-def A170758():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(38*x)))] }
-
-
-
-def A170759():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(39*x)))] }
-
-
-
-def A170760():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(40*x)))] }
-
-
-
-def A170761():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(41*x)))] }
-
-
-
-def A170762():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(42*x)))] }
-
-
-
-def A170763():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(43*x)))] }
-
-
-
-def A170764():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(44*x)))] }
-
-
-
-def A170765():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(45*x)))] }
-
-
-
-def A170766():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(46*x)))] }
-
-
-
-def A170767():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(47*x)))] }
-
-
-
-def A170768():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(48*x)))] }
-
-
-
-def A170769():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(49*x)))] }
-
-
-
-def A170775():
- x = SR.var('x')
- return { 'ogf': [((x*((x*((x*((x*((x*((x*((x*((x*((x*((896*x)+74541))+1100004))+4878360))+7862124))+4859754))+1103484))+78096))+1140))+1))/(x-1)**12)] }
-
-
-
-def A170781():
- x = SR.var('x')
- return { 'ogf': [((x*((65408*x**15)+(63389457*x**14)+(7.43770683E9*x**13)+(2.36676646043E11*x**12)+(2.858645937996E12*x**11)+(1.5527826613305E13*x**10)+(4.1568611448626E13*x**9)+(5.7445190329275E13*x**8)+(4.1568611736744E13*x**7)+(1.5527826335083E13*x**6)+(2.858646034386E12*x**5)+(2.36676655017E11*x**4)+(7.43769262E9*x**3)+(63391563*x**2)+(65646*x)+1))/(x-1)**18)] }
-
-
-
-def A170797():
- x = SR.var('x')
- return { 'ogf': [((x*((15872*x**13)+(6890977*x**12)+(423932400*x**11)+(7.520863426E9*x**10)+(5.138908088E10*x**9)+(1.55692452591E11*x**8)+(2.23769408736E11*x**7)+(1.5569514582E11*x**6)+(5.1387918048E10*x**5)+(7.520366095E9*x**4)+(424158512*x**3)+(6933762*x**2)+(16880*x)+1))/(x-1)**16)] }
-
-
-
-def A170799():
- x = SR.var('x')
- return { 'ogf': [((x*((65024*x**15)+(63370125*x**14)+(7.43762895E9*x**13)+(2.36677103915E11*x**12)+(2.85864595722E12*x**11)+(1.5527824213413E13*x**10)+(4.156861486733E13*x**9)+(5.7445190329275E13*x**8)+(4.156860831804E13*x**7)+(1.5527828734975E13*x**6)+(2.858646015162E12*x**5)+(2.36676197145E11*x**4)+(7.4377705E9*x**3)+(63410895*x**2)+(66030*x)+1))/(x-1)**18)] }
-
-
-
-def A170800():
- x = SR.var('x')
- return { 'ogf': [((1/(x-1)**19)*((-x**18)-(131565*x**17)-(191239844*x**16)-(3.070170694E10*x**15)-(1.28751052464E12*x**14)-(2.0228672856392E13*x**13)-(1.4299853938546E14*x**12)-(5.03354978422188E14*x**11)-(9.3269283216497E14*x**10)-(9.3269283216497E14*x**9)-(5.03354978422188E14*x**8)-(1.4299853938546E14*x**7)-(2.0228672856392E13*x**6)-(1.28751052464E12*x**5)-(3.070170694E10*x**4)-(191239844*x**3)-(131565*x**2)-x))] }
-
-
-
-def A170831():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((x**4+(2*x**3))-x-1))/(((2*x**2)-1)*((2*x**3)-1))))] }
-
-
-
-def A170832():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*((x**4+(3*x**3))-x-1))/(((3*x**2)-1)*((3*x**3)-1))))] }
-
-
-
-def A170833():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*((x**4+(4*x**3))-x-1))/(((2*x)-1)*((2*x)+1)*((4*x**3)-1))))] }
-
-
-
-def A170834():
- x = SR.var('x')
- return { 'ogf': [(-((5*x**2*((x**4+(5*x**3))-x-1))/(((5*x**2)-1)*((5*x**3)-1))))] }
-
-
-
-def A170837():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)+(12*x**2)+1))/(x-1)**2)] }
-
-
-
-def A170930():
- x = SR.var('x')
- return { 'ogf': [((21*x)/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A170931():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(2*x)))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A170933():
- x = SR.var('x')
- return { 'ogf': [((7-(6*x)-(5*x**3))/((((1-(2*x))+x**2)-x**3)+x**4))] }
-
-
-
-def A170934():
- x = SR.var('x')
- return { 'ogf': [(-(((((3*x**3)-x**2)+(4*x))-4)/((x-1)*((x**3+x)-1))))] }
-
-
-
-def A170935():
- x = SR.var('x')
- return { 'ogf': [(1/((x**3-x**2-1)*((x**3+(2*x**2)+x)-1)))] }
-
-
-
-def A170938():
- x = SR.var('x')
- return { 'ogf': [((2*((2-(10*x))+(11*x**2)))/((1-x)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A170939():
- x = SR.var('x')
- return { 'ogf': [((2*((1-(5*x))+(7*x**2)))/((1-x)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A170940():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((-5)+(8*x)))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A170955():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(80*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A171064():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/((1-x-(7*x**2)-x**3)+x**4)))] }
-
-
-
-def A171065():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/((1-x-(8*x**2)-x**3)+x**4)))] }
-
-
-
-def A171066():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/((1-x-(9*x**2)-x**3)+x**4)))] }
-
-
-
-def A171067():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/((x**2+(3*x)+1)*((x**2-(4*x))+1))))] }
-
-
-
-def A171068():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/((1-x-(11*x**2)-x**3)+x**4)))] }
-
-
-
-def A171069():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/((1-x-(12*x**2)-x**3)+x**4)))] }
-
-
-
-def A171089():
- x = SR.var('x')
- return { 'ogf': [((2*(3-(4*x)-(2*x**2)))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A171108():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*(((-7)-(40*x))+(11*x**2)))/(x-1)**5)] }
-
-
-
-def A171141():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(27*x)+(8*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A171155():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1-x)/(1-(3*x)-x**2-x**3)))] }
-
-
-
-def A171160():
- x = SR.var('x')
- return { 'ogf': [(-((x+3)/((x+1)*((2*x)-1))))] }
-
-
-
-def A171182():
- x = SR.var('x')
- return { 'ogf': [((2+(2*x)+x**2)/((1+x)-x**3-x**4))] }
-
-
-
-def A171216():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-373)+(1024*x)))/(((1024*x)-1)*(x-1))))] }
-
-
-
-def A171218():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x**2))/((1+x)*(1-x)**4))] }
-
-
-
-def A171226():
- x = SR.var('x')
- return { 'ogf': [(-(((19-(1190*x))+(9190*x**2))/((x-1)*((100*x)-1)*((10*x)-1))))] }
-
-
-
-def A171231():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x**2))/((x-1)*((2*x)-1)*(1+x)))] }
-
-
-
-def A171237():
- x = SR.var('x')
- return { 'ogf': [(((2-x)+(2*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A171272():
- x = SR.var('x')
- return { 'ogf': [((1+x+(11*x**2)+(3*x**3))/(x-1)**4)] }
-
-
-
-def A171371():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-4)+(15*x)))/((-1)+(6*x)+(8*x**2)))] }
-
-
-
-def A171372():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(5*x**2)+(5*x**3)+(5*x**4))/((1-x)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A171373():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(4*x**2))+(6*x**3)+x**4)/((1-(2*x))*((((x**4-(2*x**3))+(4*x**2))-(3*x))+1)))] }
-
-
-
-def A171382():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x))/((1+x)*(1-(2*x))))] }
-
-
-
-def A171389():
- x = SR.var('x')
- return { 'ogf': [((20-(19*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A171390():
- x = SR.var('x')
- return { 'ogf': [((x*(36-(35*x)))/((1-(2*x))*(1-x)))] }
-
-
-
-def A171408():
- x = SR.var('x')
- return { 'ogf': [((4*((1-(2*x))+(2*x**2)))/((((1-(3*x))+(4*x**2))-(2*x**3))+x**4))] }
-
-
-
-def A171415():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(99*x))+x**2))] }
-
-
-
-def A171416():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-sqrt(((1-(6*x**2)-(4*x**3))+x**4)))/(2*x**2)),
-((2*(1+x))/((1-x**2)+sqrt(((1-(6*x**2)-(4*x**3))+x**4))))] }
-
-
-
-def A171452():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x)**3*(1+x+x**2)))] }
-
-
-
-def A171470():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))*(11-(20*x)))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171471():
- x = SR.var('x')
- return { 'ogf': [(((35-(20*x)-(248*x**2))+(224*x**3))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171472():
- x = SR.var('x')
- return { 'ogf': [((7-(12*x))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171473():
- x = SR.var('x')
- return { 'ogf': [(((35-(110*x))+(72*x**2))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171475():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171476():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171477():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171478():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171479():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171480():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171494():
- x = SR.var('x')
- return { 'ogf': [((2*(3+(2*x)))/(1-(2*x)))] }
-
-
-
-def A171495():
- x = SR.var('x')
- return { 'ogf': [((2*(3-x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A171496():
- x = SR.var('x')
- return { 'ogf': [((2*(3-(4*x)))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171497():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/(1-(2*x)))] }
-
-
-
-def A171498():
- x = SR.var('x')
- return { 'ogf': [((3-x)/((1-x)*(1-(3*x))))] }
-
-
-
-def A171499():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A171501():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/((1+(2*x))*(1-x)))] }
-
-
-
-def A171507():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(3*x)))/((1+x)*(1-(2*x))*(1-x)**2))] }
-
-
-
-def A171516():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A171522():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(4*x**6)+(16*x**5)+(190*x**4)+(64*x**3)+(180*x**2)+(16*x)+9))/((x-1)**5*(-(x+1)**5)))] }
-
-
-
-def A171552():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x**2)-(16*x**3))/((1-(2*x))*(1-(8*x**3))))] }
-
-
-
-def A171553():
- x = SR.var('x')
- return { 'ogf': [(-((((1910*x**2)-(1030*x))+11)/((x-1)*((10*x)-1)*((100*x)-1))))] }
-
-
-
-def A171556():
- x = SR.var('x')
- return { 'ogf': [(((3*(1-sqrt((1-(4*x)))))/(2*x))-(2/(1-x)))] }
-
-
-
-def A171557():
- x = SR.var('x')
- return { 'ogf': [((1-(18*x**2)-(81*x**3))/((1-(3*x))**2*(1+(3*x)+(9*x**2))))] }
-
-
-
-def A171559():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x))/(1-(2*x)))] }
-
-
-
-def A171590():
- x = SR.var('x')
- return { 'ogf': [(((1+(22*x))-(32*x**2))/((x-1)*((2*x)+1)*((4*x)-1)))] }
-
-
-
-def A171621():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((-5)-(3*x)-(6*x**2))+x**3+(3*x**4)))/((x-1)**3*(1+x)**3))] }
-
-
-
-def A171654():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(6*x)+(7*x**2)+(2*x**3)+(3*x**4)+(8*x**5)+(9*x**6)+(4*x**7)+(5*x**8)))/((x-1)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1))))] }
-
-
-
-def A171662():
- x = SR.var('x')
- return { 'ogf': [(-((x**6+x**4+x**3+x**2)/(((((x**8-(2*x**7))+x**6)-x**2)+(2*x))-1)))] }
-
-
-
-def A171663():
- x = SR.var('x')
- return { 'ogf': [(-((((20*x**4)-(16*x**3)-(6*x**2))+(4*x)+1)/((x-1)*((2*x)-1)*((2*x)+1)*((2*x**2)-1))))] }
-
-
-
-def A171677():
- x = SR.var('x')
- return { 'ogf': [(((-7)-(5*x)-(7*x**2)-(4*x**3)-(2*x**4)-(4*x**5)-x**6-(8*x**7)-x**8)/((x-1)*(1+x+x**2)*(x**6+x**3+1)))] }
-
-
-
-def A171681():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(14*x)-(31*x**2))+(22*x**3))-(2*x**4)))/((1+x)*((x**2-(3*x))+1)*((x**2-(18*x))+1)))] }
-
-
-
-def A171714():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(14*x**2)+(4*x**3)+x**4)/((1+x)*(1-x)**5))] }
-
-
-
-def A171733():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(2*x)-(4*x**2))+(2*x**3))-(18*x**4))+(2*x**5))-(4*x**6)-(2*x**7))+x**8)/((1+x)**4*((-1)+x)**5))] }
-
-
-
-def A171734():
- x = SR.var('x')
- return { 'ogf': [((2*((((1-x**2)+(12*x**3))-x**4)+x**6))/((x-1)**4*(1+x)**4))] }
-
-
-
-def A171753():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(8*x**2))/(((1-(9*x))+(25*x**2))-(21*x**3)))] }
-
-
-
-def A171769():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+x+2))/((x-1)**3*(x+1))))] }
-
-
-
-def A171842():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-x)*(1-(2*x)-x**2)))] }
-
-
-
-def A171856():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**3)/(((1-(2*x))+x**2)-x**3-x**4))] }
-
-
-
-def A171857():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**3)/(((1-(2*x))+x**2)-x**3-x**4))] }
-
-
-
-def A171858():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((1-x)+x**2+x**3))/(((1-(2*x))+x**3)-(2*x**4)-x**5))] }
-
-
-
-def A171891():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(8*x))-(8*x**2)))/(1-x)**2)] }
-
-
-
-def A171892():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(7*x))-(7*x**2)))/(1-x)**2)] }
-
-
-
-def A171965():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x**2))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x-1)**4))] }
-
-
-
-def A172011():
- x = SR.var('x')
- return { 'ogf': [((12*x)/(1-(2*x)-(2*x**2)))] }
-
-
-
-def A172043():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(7*x**2))/(1-x)**3)] }
-
-
-
-def A172044():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(14*x))+(5*x**2))/(x-1)**3)] }
-
-
-
-def A172045():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(12*x)+(5*x**2)))/(x-1)**5))] }
-
-
-
-def A172046():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x+1)*((x**2-x)+1))/((x-1)**4*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A172047():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(20*x)+(9*x**2)))/(x-1)**5))] }
-
-
-
-def A172051():
- x = SR.var('x')
- return { 'ogf': [(x**5/(1-x**6))] }
-
-
-
-def A172073():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(11*x)))/(1-x)**4)] }
-
-
-
-def A172075():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(24*x)+(11*x**2)))/(x-1)**5))] }
-
-
-
-def A172076():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(13*x)))/(1-x)**4)] }
-
-
-
-def A172077():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(28*x)+(13*x**2)))/(x-1)**5))] }
-
-
-
-def A172078():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)))/(1-x)**4)] }
-
-
-
-def A172080():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(32*x)+(15*x**2)))/(1-x)**5)] }
-
-
-
-def A172082():
- x = SR.var('x')
- return { 'ogf': [((x+(17*x**2))/(x-1)**4)] }
-
-
-
-def A172085():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(36*x)+(17*x**2)))/(1-x)**5)] }
-
-
-
-def A172117():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(19*x)))/(1-x)**4)] }
-
-
-
-def A172118():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(40*x)+(19*x**2)))/(x-1)**5))] }
-
-
-
-def A172123():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x+1)*(x+2))/(x-1)**5))] }
-
-
-
-def A172124():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((3*x**4)+(18*x**3)+(48*x**2)+(38*x)+13))/((x-1)**7*(x+1))))] }
-
-
-
-def A172127():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**3*((6*x**8)+(57*x**7)+(316*x**6)+(763*x**5)+(1056*x**4)+(791*x**3)+(316*x**2)+(53*x)+2))/((x-1)**9*(x+1)**3)))] }
-
-
-
-def A172129():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**4*((15*x**11)+(186*x**10)+(1593*x**9)+(6666*x**8)+(17522*x**7)+(28808*x**6)+(31334*x**5)+(22040*x**4)+(9871*x**3)+(2574*x**2)+(337*x)+14))/((x-1)**11*(x+1)**5)))] }
-
-
-
-def A172131():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x+1)*((x**2-x)+1)**2)/((x-1)**4*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A172132():
- x = SR.var('x')
- return { 'ogf': [((2*(((((12*x**4)-(39*x**3))+(37*x**2))-(20*x))+4))/(x-1)**5)] }
-
-
-
-def A172134():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((((((3*x**8)-(20*x**7))+(43*x**6))-(38*x**5))+(23*x**4))-(11*x**3)-(27*x**2)-(2*x)-1))/(x-1)**7)] }
-
-
-
-def A172135():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((((((48*x**12)-(312*x**11))+(690*x**10))-(390*x**9)-(1162*x**8))+(3606*x**7))-(5142*x**6))+(3099*x**5))-(345*x**4))+(1292*x**3)+(286*x**2)+(9*x)+1))/(x-1)**9))] }
-
-
-
-def A172136():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((((((((((74*x**15)-(518*x**14))+(1110*x**13)+(1046*x**12))-(11332*x**11))+(29950*x**10))-(42430*x**9))+(32476*x**8))-(11684*x**7)-(1000*x**6))+(15021*x**5))-(18443*x**4)-(6352*x**3)-(2878*x**2)-(159*x)-1))/(x-1)**11)] }
-
-
-
-def A172137():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((((4*x**4)-(8*x**3))+(4*x**2))-(3*x)-3))/(x-1)**5)] }
-
-
-
-def A172138():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((((((((4*x**10)-(23*x**9))+(45*x**8))-(33*x**7)-x**6)+(9*x**5)+(29*x**4))-(58*x**3))+(13*x**2))-(14*x)-1))/(x-1)**7)] }
-
-
-
-def A172139():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((((((((64*x**15)-(376*x**14))+(760*x**13))-(650*x**12))+(1478*x**11))-(6838*x**10))+(15166*x**9))-(17006*x**8))+(8858*x**7))-(462*x**6)-(2109*x**5))+(1333*x**4)+(1274*x**3)+(70*x**2)+(117*x)+1))/(1-x)**9)] }
-
-
-
-def A172140():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((((((((((((((((100*x**19)-(648*x**18))+(1450*x**17))-(2126*x**16))+(10452*x**15))-(43872*x**14))+(92798*x**13))-(100834*x**12))+(56460*x**11))-(61636*x**10))+(182288*x**9))-(303224*x**8))+(275038*x**7))-(128982*x**6))+(21681*x**5)+(1933*x**4))-(13072*x**3)-(2540*x**2)-(323*x)-63))/(x-1)**11)] }
-
-
-
-def A172141():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x**2+(2*x)+3)*((2*x**2)+x+1))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A172158():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5*(((((((((465*x**12)-(4432*x**11))+(14622*x**10))-(20892*x**9))+(36103*x**8))-(162056*x**7))+(376992*x**6))-(263140*x**5)-(287097*x**4))+(373248*x**3)+(243562*x**2)+(24776*x)+489))/(x-1)**13))] }
-
-
-
-def A172173():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**2)+1))/((x-1)*(x+1)*((x**2+x)-1)))] }
-
-
-
-def A172193():
- x = SR.var('x')
- return { 'ogf': [(((1+(34*x))-(25*x**2))/(1-x)**3)] }
-
-
-
-def A172200():
- x = SR.var('x')
- return { 'ogf': [((4*x**4*((2*x)-5))/(x-1)**5)] }
-
-
-
-def A172201():
- x = SR.var('x')
- return { 'ogf': [((4*x**5*(((x**7-(7*x**6))+(13*x**5)+(23*x**4))-(32*x**3)-(60*x**2)-(46*x)-12))/((x+1)**2*(x-1)**7))] }
-
-
-
-def A172202():
- x = SR.var('x')
- return { 'ogf': [((x**3*((17*x**2)+(2*x)+8))/(x-1)**4)] }
-
-
-
-def A172203():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((68*x**4)-(4*x**3))+(149*x**2)+(34*x)+9))/(x-1)**5))] }
-
-
-
-def A172204():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((259*x**6)-(204*x**5))+(1294*x**4)+(622*x**3)+(1035*x**2)+(104*x)+15))/(x-1)**6)] }
-
-
-
-def A172205():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*(((475*x**8)-(1015*x**7))+(4398*x**6)+(194*x**5)+(10875*x**4)+(5233*x**3)+(3012*x**2)+(148*x)+8))/(x-1)**7))] }
-
-
-
-def A172206():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((3387*x**10)-(13990*x**9))+(57102*x**8))-(55038*x**7))+(217860*x**6)+(137902*x**5)+(324486*x**4)+(120530*x**3)+(30546*x**2)+(734*x)+24))/(x-1)**8)] }
-
-
-
-def A172207():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**6)+(14*x**3)+(8*x**2)+(2*x)+1))/(x-1)**4)] }
-
-
-
-def A172208():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((2*x**12)-(2*x**11))+(4*x**10))-(24*x**9))+(50*x**8))-(10*x**7))+(41*x**6))-(23*x**5))+(152*x**4)+(35*x**3)+(26*x**2)+(4*x)+1))/(x-1)**5))] }
-
-
-
-def A172210():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((((2*x**20)-(4*x**19))+(8*x**18))-(12*x**17)-(48*x**16))+(140*x**15))-(158*x**14))+(208*x**13)+(134*x**12))-(932*x**11))+(1048*x**10))-(182*x**9))+(436*x**8)+(396*x**7))-(32*x**6))+(1288*x**5)+(668*x**4)+(72*x**3)+(86*x**2)+(6*x)+1))/(x-1)**6)] }
-
-
-
-def A172212():
- x = SR.var('x')
- return { 'ogf': [((x*(((((6*x**6)-(8*x**5))+(2*x**4)+(24*x**3))-(6*x**2))+(8*x)+1))/(x-1)**4)] }
-
-
-
-def A172213():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((16*x**9)-(20*x**8)-(40*x**7))+(172*x**6))-(81*x**5))+(41*x**4)+(142*x**3)+(14*x**2)+(11*x)+1))/(x-1)**5))] }
-
-
-
-def A172214():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((42*x**12)-(52*x**11)-(268*x**10))+(884*x**9))-(268*x**8)-(1188*x**7))+(2834*x**6))-(720*x**5))+(918*x**4)+(814*x**3)+(106*x**2)+(22*x)+1))/(x-1)**6)] }
-
-
-
-def A172215():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((104*x**15)-(116*x**14)-(1328*x**13))+(3992*x**12)+(806*x**11))-(16380*x**10))+(27343*x**9))-(4845*x**8)-(15537*x**7))+(38275*x**6))-(2753*x**5))+(11789*x**4)+(4910*x**3)+(344*x**2)+(51*x)+1))/(x-1)**7))] }
-
-
-
-def A172217():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((252*x**18)-(272*x**17)-(5134*x**16))+(14468*x**15)+(19721*x**14))-(132666*x**13))+(174233*x**12)+(119440*x**11))-(540473*x**10))+(654954*x**9))-(89133*x**8)-(93778*x**7))+(497782*x**6)+(56796*x**5)+(119468*x**4)+(26652*x**3)+(1162*x**2)+(70*x)+1))/(x-1)**8)] }
-
-
-
-def A172221():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((2*x**8)-(4*x**7))+(2*x**6))-(8*x**5))+(28*x**4))-(20*x**3))+(10*x**2)+(16*x)+1))/(x-1)**4)] }
-
-
-
-def A172222():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((4*x**12)-(6*x**11)-(2*x**10)-(52*x**9))+(160*x**8))-(88*x**7))+(2*x**6))-(195*x**5))+(473*x**4))-(172*x**3))+(66*x**2)+(65*x)+1))/(x-1)**5))] }
-
-
-
-def A172223():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((((((14*x**16)-(32*x**15))+(14*x**14))-(292*x**13))+(898*x**12))-(536*x**11))+(514*x**10))-(4232*x**9))+(7258*x**8))-(3296*x**7))+(266*x**6))-(2018*x**5))+(5148*x**4))-(1256*x**3))+(428*x**2)+(246*x)+1))/(x-1)**6)] }
-
-
-
-def A172224():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((((32*x**20)-(48*x**19)-(84*x**18)-(1004*x**17))+(3350*x**16))-(802*x**15))+(3364*x**14))-(32132*x**13))+(42540*x**12)+(3538*x**11)+(10674*x**10))-(126767*x**9))+(151663*x**8))-(20769*x**7)-(34421*x**6))+(9539*x**5)+(40807*x**4))-(6284*x**3))+(2542*x**2)+(917*x)+1))/(x-1)**7))] }
-
-
-
-def A172225():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((2*x**2)-(7*x)-1))/(x-1)**5)] }
-
-
-
-def A172226():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(((x**5-(9*x**4))+(22*x**3))-(2*x**2)-(61*x)-11))/(x-1)**7)] }
-
-
-
-def A172227():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((4*x**8)-(26*x**7))+(3*x**6)+(303*x**5))-(736*x**4))+(180*x**3)+(1595*x**2)+(351*x)+6))/(x-1)**9))] }
-
-
-
-def A172228():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((((6*x**11)-(26*x**10)-(93*x**9))+(527*x**8)+(490*x**7))-(6710*x**6))+(13630*x**5))-(3954*x**4)-(26364*x**3)-(7452*x**2)-(293*x)-1))/(x-1)**11)] }
-
-
-
-def A172229():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3*x**3)+(8*x**2)+(14*x)+2))/(x-1)**4)] }
-
-
-
-def A172230():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((4*x**5)+(12*x**4)+(67*x**3)+(120*x**2)+(51*x)+2))/(x-1)**5))] }
-
-
-
-def A172231():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5*x**7)+(8*x**6)+(129*x**5)+(512*x**4)+(1323*x**3)+(984*x**2)+(162*x)+2))/(x-1)**6)] }
-
-
-
-def A172232():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((3*x**9)-(5*x**8))+(100*x**7)+(354*x**6)+(2548*x**5)+(7572*x**4)+(9248*x**3)+(3262*x**2)+(245*x)+1))/(x-1)**7))] }
-
-
-
-def A172234():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((7*x**11)-(48*x**10))+(370*x**9)+(40*x**8)+(8541*x**7)+(45282*x**6)+(190420*x**5)+(329248*x**4)+(209261*x**3)+(38958*x**2)+(1462*x)+2))/(x-1)**8)] }
-
-
-
-def A172241():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(4*x)))/((1-x)*(1+x)*(1-(8*x))))] }
-
-
-
-def A172242():
- x = SR.var('x')
- return { 'ogf': [(-(x**10/((2*x)-1)**11))] }
-
-
-
-def A172261():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((((11814*x**12)-(80082*x**11))+(366204*x**10))-(759794*x**9))+(1916625*x**8))-(283007*x**7))+(5337480*x**6)+(4589514*x**5)+(4426668*x**4)+(1103339*x**3)+(146808*x**2)+(1622*x)+25))/(x-1)**9))] }
-
-
-
-def A172285():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/((1-(2*x))*(1+x)**2))] }
-
-
-
-def A172362():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(3*x))**11)] }
-
-
-
-def A172397():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-x**2)+x**3+x**8))] }
-
-
-
-def A172399():
- x = SR.var('x')
- return { 'ogf': [(x**7/((1-(2*x)-(2*x**2))+x**3+x**8))] }
-
-
-
-def A172416():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-x**3)/(((2*x)-1)*(x-1)*(1+x)**2))] }
-
-
-
-def A172423():
- x = SR.var('x')
- return { 'ogf': [(-((x*(9+(2*x)+(7*x**2)+(4*x**3)+(5*x**4)+(6*x**5)+(3*x**6)+(8*x**7)+x**8))/((x-1)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1))))] }
-
-
-
-def A172430():
- x = SR.var('x')
- return { 'ogf': [((2+x+(6*x**2)+(7*x**3)+(3*x**5)+(4*x**6)+(9*x**7)+(8*x**8)+(5*x**9))/((1-x)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)))] }
-
-
-
-def A172449():
- x = SR.var('x')
- return { 'ogf': [((x**8*(((((((((((((((((((((((-(72*x**31))+(360*x**30))-(360*x**29)-(1320*x**28))+(4208*x**27))-(9064*x**26))+(28358*x**25))-(65290*x**24))+(80160*x**23))-(41550*x**22)-(19482*x**21))+(62314*x**20))-(43912*x**19)-(81620*x**18))+(228424*x**17))-(261720*x**16))+(248114*x**15))-(336290*x**14))+(460564*x**13))-(453438*x**12))+(288474*x**11))-(135252*x**10))+(80270*x**9))-(85476*x**8))+(49676*x**7))-(23614*x**6)-(4768*x**5)-(1794*x**4)-(4344*x**3)-(1546*x**2)-(238*x)-92))/(x-1)**9)] }
-
-
-
-def A172481():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1+x)*(1-(2*x))**2))] }
-
-
-
-def A172482():
- x = SR.var('x')
- return { 'ogf': [(((x+3)*(1+x))/(x-1)**4)] }
-
-
-
-def A172485():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2)+(2*x**3))/(1+(3*x)+(6*x**2)+(6*x**3))),
-(x/(1+(x/(1-((2*x)/(1+((2*x)/(1-(x/(1+(3*x)))))))))))] }
-
-
-
-def A172510():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x))**5)] }
-
-
-
-def A172511():
- x = SR.var('x')
- return { 'ogf': [(((4/(1-x))+((1-(6*x))/((1-(7*x))+x**2))+((5-(10*x))/((1-(3*x))+x**2)))/10)] }
-
-
-
-def A172517():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**4*(x**3+(6*x**2)+(9*x)+8))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A172518():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**5*((9*x**6)+(94*x**5)+(199*x**4)+(388*x**3)+(151*x**2)+(94*x)+25))/((x-1)**7*(x+1)**5)))] }
-
-
-
-def A172519():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5*((287*x**22)+(5191*x**21)+(25616*x**20)+(105043*x**19)+(280800*x**18)+(651461*x**17)+(1186795*x**16)+(1925172*x**15)+(2611064*x**14)+(3190574*x**13)+(3337574*x**12)+(3161250*x**11)+(2574658*x**10)+(1891298*x**9)+(1175308*x**8)+(649556*x**7)+(291897*x**6)+(115771*x**5)+(34682*x**4)+(8835*x**3)+(1294*x**2)+(169*x)+25))/((x-1)**9*(x+1)**7*(x**2+1)**3*(x**2+x+1)**3)))] }
-
-
-
-def A172525():
- x = SR.var('x')
- return { 'ogf': [((111111111*x)/(x-1)**2)] }
-
-
-
-def A172529():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((((((16*x**7)-(71*x**6))+(121*x**5))-(98*x**4))+(40*x**3))-(9*x**2)-(4*x)-1))/(x-1)**5)] }
-
-
-
-def A172530():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*(((((((((50*x**9)-(398*x**8))+(1425*x**7))-(2989*x**6))+(3971*x**5))-(3325*x**4))+(1605*x**3))-(365*x**2))+(83*x)+3))/(x-1)**7))] }
-
-
-
-def A172531():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((((((((((192*x**13)-(1728*x**12))+(7452*x**11))-(21238*x**10))+(46658*x**9))-(84582*x**8))+(125397*x**7))-(144875*x**6))+(124920*x**5))-(79904*x**4))+(39969*x**3))-(15165*x**2))+(1452*x))-228))/(x-1)**9)] }
-
-
-
-def A172532():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*(((((((((((((((((648*x**16)-(10328*x**15))+(71820*x**14))-(295572*x**13))+(818512*x**12))-(1640088*x**11))+(2492742*x**10))-(2967118*x**9))+(2825821*x**8))-(2185007*x**7))+(1376780*x**6))-(677852*x**5))+(219349*x**4))-(32023*x**3))+(18016*x**2))-(644*x))+64))/(x-1)**11))] }
-
-
-
-def A172533():
- x = SR.var('x')
- return { 'ogf': [((4*x**4*((((((((((((((((((((240*x**21)-(3120*x**20))+(20470*x**19))-(105106*x**18))+(512024*x**17))-(2216597*x**16))+(7650408*x**15))-(20251702*x**14))+(41149629*x**13))-(64905350*x**12))+(80399423*x**11))-(78967736*x**10))+(61875645*x**9))-(38631940*x**8))+(19002633*x**7))-(7392461*x**6))+(2560624*x**5))-(840251*x**4)-(8486*x**3)-(14835*x**2))+(182*x))-14))/(x-1)**13)] }
-
-
-
-def A172965():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*(((((((((15*x**9)-(141*x**8))+(564*x**7))-(1276*x**6))+(1812*x**5))-(1652*x**4))+(908*x**3))-(272*x**2))+(99*x)+3))/(x-1)**7))] }
-
-
-
-def A172966():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((((((((((76*x**13)-(684*x**12))+(2856*x**11))-(7714*x**10))+(16164*x**9))-(29151*x**8))+(45506*x**7))-(57766*x**6))+(55629*x**5))-(39385*x**4))+(21484*x**3))-(8778*x**2))+(389*x))-306))/(x-1)**9)] }
-
-
-
-def A172967():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((((((((((((((468*x**16)-(7964*x**15))+(57164*x**14))-(238936*x**13))+(664383*x**12))-(1323653*x**11))+(1986964*x**10))-(2334676*x**9))+(2209082*x**8))-(1718662*x**7))+(1118210*x**6))-(595746*x**5))+(216519*x**4))-(38229*x**3))+(34186*x**2)+(922*x)+208))/(x-1)**11))] }
-
-
-
-def A173000():
- x = SR.var('x')
- return { 'ogf': [(-(1/((9*x)-1)**5))] }
-
-
-
-def A173033():
- x = SR.var('x')
- return { 'ogf': [(((4/(1-(2*x)))-(4/(1-x)))+1)] }
-
-
-
-def A173039():
- x = SR.var('x')
- return { 'ogf': [(((3+x+(3*x**2))-(14*x**3)-(6*x**4)-(30*x**5)-(21*x**6)-(3*x**7)-(5*x**8))/((x-1)**3*(1+x+x**2)**3))] }
-
-
-
-def A173041():
- x = SR.var('x')
- return { 'ogf': [((5-(32*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173044():
- x = SR.var('x')
- return { 'ogf': [((5*x*((((2+(15*x)+(16*x**2))-(14*x**3))+(6*x**4))-x**5))/(1-x)**6)] }
-
-
-
-def A173078():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)))/((x-1)*((2*x)-1)*(1+x)))] }
-
-
-
-def A173089():
- x = SR.var('x')
- return { 'ogf': [((x*((-26)-(24*x)))/(x-1)**3)] }
-
-
-
-def A173102():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+2)*((2*x)+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A173113():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(5*x))**11)] }
-
-
-
-def A173114():
- x = SR.var('x')
- return { 'ogf': [((((-x)-(2*x**2)-(4*x**3))+1)/((1-x)*(1-(2*x))*(1+x)))] }
-
-
-
-def A173115():
- x = SR.var('x')
- return { 'ogf': [(-((24*x*(1+x))/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A173116():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+(5*x)+(5*x**2)+x**3))/(1-x)**5)] }
-
-
-
-def A173121():
- x = SR.var('x')
- return { 'ogf': [((48*x**2*(1+x))/(1-x)**5)] }
-
-
-
-def A173125():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*((x**3+(3*x**2))-1))/(((2*x)-1)*(x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A173126():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-(2*x))*((x**2+x)-1)*(x**2-x-1)))] }
-
-
-
-def A173127():
- x = SR.var('x')
- return { 'ogf': [(-((3*(1-(39*x)))/((1-(38*x))+x**2)))] }
-
-
-
-def A173141():
- x = SR.var('x')
- return { 'ogf': [((x*((-50)-(48*x)))/(x-1)**3)] }
-
-
-
-def A173154():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**3)+x**4)/((1+x)*(x-1)**4))] }
-
-
-
-def A173155():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x))**6)] }
-
-
-
-def A173173():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2-x**3))/((1-x**3)*(1-x-x**2)))] }
-
-
-
-def A173187():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(9*x))**4)] }
-
-
-
-def A173193():
- x = SR.var('x')
- return { 'ogf': [(-((x*((50*x)-7))/((x-1)*((10*x)-1))))] }
-
-
-
-def A173196():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)**3*(1-x**2)))] }
-
-
-
-def A173197():
- x = SR.var('x')
- return { 'ogf': [(1-((x*(((-1)-(2*x))+(7*x**2)))/((x-1)*((2*x)-1)*(1+x))))] }
-
-
-
-def A173200():
- x = SR.var('x')
- return { 'ogf': [((x**2*(11+(26*x)+(11*x**2)))/(1-x)**4)] }
-
-
-
-def A173202():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5+(38*x)+(5*x**2)))/(1-x)**4)] }
-
-
-
-def A173205():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(98*x))+x**2))] }
-
-
-
-def A173214():
- x = SR.var('x')
- return { 'ogf': [((2*x**5*((((28*x**17)-(18*x**16)-(162*x**15)-(139*x**14))+(261*x**13)+(1268*x**12)+(2387*x**11)+(1220*x**10))-(5937*x**9)-(18637*x**8)-(30086*x**7)-(31557*x**6)-(23251*x**5)-(11716*x**4)-(3859*x**3)-(708*x**2)-(53*x)-1))/((x+1)**4*(x-1)**9*(x**2+x+1)**2))] }
-
-
-
-def A173234():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+(3*x**2))-(2*x**3))+(2*x**4))-x**5))/((1+x)*(x-1)**2*(x**2+1)**2))] }
-
-
-
-def A173237():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A173243():
- x = SR.var('x')
- return { 'ogf': [((x+1)**10/(((x**10+x**9)-x**7-x**6-x**5-x**4-x**3)+x+1))] }
-
-
-
-def A173244():
- x = SR.var('x')
- return { 'ogf': [((1-x**11)/(((1-x**2-x**3)+x**8+x**9)-x**11))] }
-
-
-
-def A173245():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1+x)**9)/(1-x**11))] }
-
-
-
-def A173247():
- x = SR.var('x')
- return { 'ogf': [((x**3-x**2-1)/(x+1)**3)] }
-
-
-
-def A173248():
- x = SR.var('x')
- return { 'ogf': [((x**4-x**3-1)/(x+1)**4)] }
-
-
-
-def A173262():
- x = SR.var('x')
- return { 'ogf': [((x*((-9)+(70*x)))/(((10*x)-1)*(1-x)))] }
-
-
-
-def A173267():
- x = SR.var('x')
- return { 'ogf': [((x*((-122)-(120*x)))/(x-1)**3)] }
-
-
-
-def A173275():
- x = SR.var('x')
- return { 'ogf': [((x*((-170)-(168*x)))/(x-1)**3)] }
-
-
-
-def A173276():
- x = SR.var('x')
- return { 'ogf': [((x**3+1)/((x**6-x**5-x)+1))] }
-
-
-
-def A173307():
- x = SR.var('x')
- return { 'ogf': [((26*x)/(1-x)**3)] }
-
-
-
-def A173308():
- x = SR.var('x')
- return { 'ogf': [((34*x)/(1-x)**3)] }
-
-
-
-def A173309():
- x = SR.var('x')
- return { 'ogf': [((38*x)/(1-x)**3)] }
-
-
-
-def A173315():
- x = SR.var('x')
- return { 'ogf': [(((5*x)+(12*x**2)+(14*x**3)+1)/(((2*x)+1)*((2*x**2)+(2*x)+1)))] }
-
-
-
-def A173388():
- x = SR.var('x')
- return { 'ogf': [(((x**7+1+x)-x**6)/(1-x**2-x**4))] }
-
-
-
-def A173391():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((3-(8*x))+x**2))/(((3*x)-1)*(x-1)**2)))] }
-
-
-
-def A173393():
- x = SR.var('x')
- return { 'ogf': [((2*x*((11-(72*x))+(6*x**2)))/((1-(12*x))*(x-1)**2))] }
-
-
-
-def A173429():
- x = SR.var('x')
- return { 'ogf': [(-(((36*x**30)+(124*x**29)+(496*x**28)+(1128*x**27)+(2632*x**26)+(4280*x**25)+(7160*x**24)+(9296*x**23)+(12936*x**22)+(14828*x**21)+(18828*x**20)+(20164*x**19)+(23820*x**18)+(23684*x**17)+(25460*x**16)+(22972*x**15)+(22412*x**14)+(18532*x**13)+(16820*x**12)+(12996*x**11)+(10912*x**10)+(7552*x**9)+(5428*x**8)+(3012*x**7)+(1652*x**6)+(604*x**5)+(204*x**4)+(28*x**3)+(4*x**2))/((x+1)**4*(x-1)**7*(x**2+1)*(x**2+x+1)*(x**8+x**6+x**4+x**2+1)**2)))] }
-
-
-
-def A173432():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+1))/((x-1)*(x+1)*((x**2-x)+1))))] }
-
-
-
-def A173433():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+x+x**4))/((x-1)*(1+x)*((x**2+x)-1)*((x**2-x)+1))))] }
-
-
-
-def A173436():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**4*(((((((((((((((((((((((2535*x**24)-(61497*x**23))+(627330*x**22))-(3849410*x**21))+(16791330*x**20))-(58053150*x**19))+(170691269*x**18))-(438580125*x**17))+(976505385*x**16))-(1844050487*x**15))+(2.900976825E9*x**14))-(3.760563305E9*x**13))+(3.99113369E9*x**12))-(3.45057447E9*x**11))+(2.418714751E9*x**10))-(1370750375*x**9))+(628081926*x**8))-(228075638*x**7))+(56855445*x**6))-(6423333*x**5))+(4868490*x**4)+(36682*x**3)+(20508*x**2))-(60*x))+4))/(x-1)**15))] }
-
-
-
-def A173495():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**3))/((1-x)*(1+x+x**2)*(1-x-x**2)))] }
-
-
-
-def A173521():
- x = SR.var('x')
- return { 'ogf': [((10*x*((200*x)-101))/((x-1)*((10*x)-1)*((100*x)-1)))] }
-
-
-
-def A173535():
- x = SR.var('x')
- return { 'ogf': [((1-(7*x))/((1-x)*(1-(12*x))))] }
-
-
-
-def A173536():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x**2+(6*x**3)+(4*x**4)+(22*x**5)+(25*x**6)+(4*x**7)+(9*x**8)))/((x-1)**3*(1+x+x**2)**3)))] }
-
-
-
-def A173546():
- x = SR.var('x')
- return { 'ogf': [(((72*x**2)/(1-x)**2)*((((x**5/((1-x)**3*(1-x**2)))-((2*x**5)/((1-x)*(1-x**2)**2))-(x**5/((1-x)**2*(1-x**3)))-((2*x**6)/((1-x)*(1-x**2)*(1-x**3)))-(x**6/(1-x**2)**3)-(x**7/((1-x**2)**2*(1-x**3))))+(x**5/((1-x)*(1-x**4)))+((2*x**5)/((1-x**2)*(1-x**3)))+((2*x**6)/((1-x**2)*(1-x**4)))+(x**6/(1-x**3)**2)+(x**7/((1-x**2)*(1-x**5)))+(x**7/((1-x**3)*(1-x**4)))+(x**8/((1-x**3)*(1-x**5))))-(x**5/(1-x**5))))] }
-
-
-
-def A173548():
- x = SR.var('x')
- return { 'ogf': [((x**2/(1-x)**2)*((((12*x**2)/(x-1)**2)-((36*x**3)/(x-1)**3)-((72*x**3)/((x-1)*(x**2-1)))-((36*x**3)/(x**3-1))-((72*x**4)/((x-1)**2*(x**2-1)))-((36*x**4)/((x-1)*(x**3-1)))-((72*x**4)/(x**2-1)**2))+((72*x**5)/((x-1)**3*(x**2-1)))+((72*x**5)/((x-1)**2*(x**3-1)))+((144*x**5)/((x-1)*(x**2-1)**2))+((72*x**5)/((x-1)*(x**4-1)))+((108*x**5)/((x**2-1)*(x**3-1)))+((72*x**5)/(x**5-1))+((144*x**6)/((x-1)*(x**2-1)*(x**3-1)))+((72*x**6)/(x**2-1)**3)+((144*x**6)/((x**2-1)*(x**4-1)))+((72*x**6)/(x**3-1)**2)+((72*x**7)/((x**2-1)**2*(x**3-1)))+((72*x**7)/((x**2-1)*(x**5-1)))+((72*x**7)/((x**3-1)*(x**4-1)))+((72*x**8)/((x**3-1)*(x**5-1)))))] }
-
-
-
-def A173549():
- x = SR.var('x')
- return { 'ogf': [((x**3/(1-x**3))*((((12*x**3)/((x-1)*(x**2-1)))-((108*x**5)/((x-1)*(x**2-1)**2))-((72*x**5)/((x-1)*(x**4-1)))-((72*x**5)/((x**3-1)*(x**2-1)))-((36*x**5)/(x**5-1)))+((72*x**7)/((x-1)*(x**2-1)**3))+((144*x**7)/((x-1)*(x**2-1)*(x**4-1)))+((72*x**7)/((x-1)*(x**6-1)))+((72*x**7)/((x**2-1)**2*(x**3-1)))+((72*x**7)/((x**2-1)*(x**5-1)))+((72*x**7)/(x**7-1))+((72*x**9)/((x-1)*(x**4-1)**2))+((144*x**9)/((x**2-1)*(x**3-1)*(x**4-1)))+((144*x**9)/((x**3-1)*(x**6-1)))+((72*x**9)/((x**4-1)*(x**5-1)))+((72*x**11)/((x**3-1)*(x**4-1)**2))+((72*x**11)/((x**3-1)*(x**8-1)))+((72*x**11)/((x**5-1)*(x**6-1)))+((72*x**13)/((x**5-1)*(x**8-1)))))] }
-
-
-
-def A173559():
- x = SR.var('x')
- return { 'ogf': [((((6*x)+(15*x**2)+(19*x**3))-1)/(((2*x)-1)*((2*x**2)+(2*x)+1)))] }
-
-
-
-def A173593():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)-(5*x))+(2*x**3)+(4*x**4)))/((1-x)*(1+x+x**2)*((2*x**2)-1)))] }
-
-
-
-def A173598():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(8*x)-(7*x**2)-(2*x**3)-(4*x**4)-(5*x**5))/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A173650():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-x**2)+(2*x)+1))/((1+x)*((1-x-(4*x**2))+(2*x**3))))] }
-
-
-
-def A173652():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1+(4*x))-x**2-(6*x**3))+x**4))/((1-x**2-x**3)*(((1-(8*x**2)-(2*x**3))+(9*x**4))-(2*x**5)-x**6)))] }
-
-
-
-def A173657():
- x = SR.var('x')
- return { 'ogf': [((((-4)+(17*x))-(17*x**2))/((x-1)*((3*x)-1)*((2*x)-1)))] }
-
-
-
-def A173686():
- x = SR.var('x')
- return { 'ogf': [((-(x*(2+(8*x)+(2*x**2)+(3*x**5)+(5*x**6)+(8*x**7)+(2*x**8))))/((x-1)*(x**2+1)*(1+x+x**2)*((x**4-x**2)+1)))] }
-
-
-
-def A173690():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*((x**2-x)+1))/((x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A173691():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x**4))/((1+x)*((1-x)+x**2)*(1+x+x**2)*(1-x)**4))] }
-
-
-
-def A173711():
- x = SR.var('x')
- return { 'ogf': [(x**6/((x+1)*(x**4+1)*(x-1)**2))] }
-
-
-
-def A173714():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**3))/((1-x-x**2)*(1-x**3)))] }
-
-
-
-def A173721():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*((x**2-x)+1)**2)/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A173723():
- x = SR.var('x')
- return { 'ogf': [((x**2/(1-x)**2)*((((x**5/((1-x)**3*(1-x**2)))-((2*x**5)/((1-x)*(1-x**2)**2))-(x**5/((1-x)**2*(1-x**3)))-((2*x**6)/((1-x)*(1-x**2)*(1-x**3)))-(x**6/(1-x**2)**3)-(x**7/((1-x**2)**2*(1-x**3))))+(x**5/((1-x)*(1-x**4)))+((2*x**5)/((1-x**2)*(1-x**3)))+((2*x**6)/((1-x**2)*(1-x**4)))+(x**6/(1-x**3)**2)+(x**7/((1-x**2)*(1-x**5)))+(x**7/((1-x**3)*(1-x**4)))+(x**8/((1-x**3)*(1-x**5))))-(x**5/(1-x**5))))] }
-
-
-
-def A173724():
- x = SR.var('x')
- return { 'ogf': [((((x**5/((1-x)**3*(1-x**2)))-((2*x**5)/((1-x)*(1-x**2)**2))-(x**5/((1-x)**2*(1-x**3)))-((2*x**6)/((1-x)*(1-x**2)*(1-x**3)))-(x**6/(1-x**2)**3)-(x**7/((1-x**2)**2*(1-x**3))))+(x**5/((1-x)*(1-x**4)))+((2*x**5)/((1-x**2)*(1-x**3)))+((2*x**6)/((1-x**2)*(1-x**4)))+(x**6/(1-x**3)**2)+(x**7/((1-x**2)*(1-x**5)))+(x**7/((1-x**3)*(1-x**4)))+(x**8/((1-x**3)*(1-x**5))))-(x**5/(1-x**5)))] }
-
-
-
-def A173725():
- x = SR.var('x')
- return { 'ogf': [((x**3/(1-x**3))*((x**7/((x-1)*(x**2-1)**3))+((2*x**7)/((x-1)*(x**2-1)*(x**4-1)))+(x**7/((x-1)*(x**6-1)))+(x**7/((x**2-1)**2*(x**3-1)))+(x**7/((x**2-1)*(x**5-1)))+(x**7/((x**3-1)*(x**4-1)))+(x**7/(x**7-1))+(x**9/((x-1)*(x**4-1)**2))+((2*x**9)/((x**2-1)*(x**3-1)*(x**4-1)))+((2*x**9)/((x**3-1)*(x**6-1)))+(x**9/((x**4-1)*(x**5-1)))+(x**11/((x**3-1)*(x**4-1)**2))+(x**11/((x**3-1)*(x**8-1)))+(x**11/((x**5-1)*(x**6-1)))+(x**13/((x**5-1)*(x**8-1)))))] }
-
-
-
-def A173727():
- x = SR.var('x')
- return { 'ogf': [(72*((x**5/((x-1)*(x**4-1)))+(x**5/((x-1)**2*(x**3-1)))+(x**5/((x-1)**3*(x**2-1)))+((2*x**5)/((x-1)*(x**2-1)**2))+((2*x**5)/((x**2-1)*(x**3-1)))+(x**5/(x**5-1))+((2*x**6)/((x-1)*(x**2-1)*(x**3-1)))+(x**6/(x**2-1)**3)+((2*x**6)/((x**2-1)*(x**4-1)))+(x**6/(x**3-1)**2)+(x**7/((x**2-1)*(x**5-1)))+(x**7/((x**2-1)**2*(x**3-1)))+(x**7/((x**3-1)*(x**4-1)))+(x**8/((x**3-1)*(x**5-1)))))] }
-
-
-
-def A173728():
- x = SR.var('x')
- return { 'ogf': [(72*((x**7/((x-1)*(x**2-1)**3))+((2*x**7)/((x-1)*(x**2-1)*(x**4-1)))+(x**7/((x-1)*(x**6-1)))+(x**7/((x**2-1)**2*(x**3-1)))+(x**7/((x**2-1)*(x**5-1)))+(x**7/((x**3-1)*(x**4-1)))+(x**7/(x**7-1))+(x**9/((x-1)*(x**4-1)**2))+((2*x**9)/((x**2-1)*(x**3-1)*(x**4-1)))+((2*x**9)/((x**3-1)*(x**6-1)))+(x**9/((x**4-1)*(x**5-1)))+(x**11/((x**3-1)*(x**4-1)**2))+(x**11/((x**3-1)*(x**8-1)))+(x**11/((x**5-1)*(x**6-1)))+(x**13/((x**5-1)*(x**8-1)))))] }
-
-
-
-def A173729():
- x = SR.var('x')
- return { 'ogf': [((x**2/(1-x)**2)*(((x**2/(x-1)**2)-(x**3/(x-1)**3)-((2*x**3)/((x-1)*(x**2-1)))-(x**3/(x**3-1))-((2*x**4)/((x-1)**2*(x**2-1)))-(x**4/((x-1)*(x**3-1)))-((2*x**4)/(x**2-1)**2))+(x**5/((x-1)**3*(x**2-1)))+(x**5/((x-1)**2*(x**3-1)))+((2*x**5)/((x-1)*(x**2-1)**2))+(x**5/((x-1)*(x**4-1)))+(x**5/((x**2-1)*(x**3-1)))+(x**5/(x**5-1))+((2*x**6)/((x-1)*(x**2-1)*(x**3-1)))+((2*x**6)/((x**2-1)*(x**4-1)))+(x**6/(x**2-1)**3)+(x**6/(x**3-1)**2)+(x**7/((x**3-1)*(x**4-1)))+(x**7/((x**2-1)*(x**5-1)))+(x**7/((x**2-1)**2*(x**3-1)))+(x**8/((x**3-1)*(x**5-1)))))] }
-
-
-
-def A173730():
- x = SR.var('x')
- return { 'ogf': [((x**3/(1-x**3))*(((((x**3/((x-1)*(x**2-1)))-((3*x**5)/((x-1)*(x**2-1)**2))-((2*x**5)/((x-1)*(x**4-1)))-((2*x**5)/((x**3-1)*(x**2-1)))-(x**5/(x**5-1)))+(x**7/((x-1)*(x**2-1)**3))+((2*x**7)/((x-1)*(x**2-1)*(x**4-1)))+(x**7/((x-1)*(x**6-1)))+(x**7/((x**2-1)**2*(x**3-1)))+(x**7/((x**2-1)*(x**5-1))))-(x**7/((x**3-1)*(x**4-1))))+(x**7/(x**7-1))+(x**9/((x-1)*(x**4-1)**2))+((2*x**9)/((x**2-1)*(x**3-1)*(x**4-1)))+((2*x**9)/((x**3-1)*(x**6-1)))+(x**9/((x**4-1)*(x**5-1)))+(x**11/((x**3-1)*(x**4-1)**2))+(x**11/((x**3-1)*(x**8-1)))+(x**11/((x**5-1)*(x**6-1)))+(x**13/((x**5-1)*(x**8-1)))))] }
-
-
-
-def A173731():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*((1-(3*x))+x**2)*((1-(7*x))+x**2)))] }
-
-
-
-def A173734():
- x = SR.var('x')
- return { 'ogf': [((x*(8-(70*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173735():
- x = SR.var('x')
- return { 'ogf': [((3-(29*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173736():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(40*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173737():
- x = SR.var('x')
- return { 'ogf': [((x*(6-(50*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173764():
- x = SR.var('x')
- return { 'ogf': [((x*(9-(60*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173766():
- x = SR.var('x')
- return { 'ogf': [((x*(7-(40*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173768():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(30*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A173770():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(10*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A173772():
- x = SR.var('x')
- return { 'ogf': [(-((x*((30*x)-7))/((x-1)*((10*x)-1))))] }
-
-
-
-def A173773():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((((2-x)+(7*x**2))-x**3)+(2*x**4)))/(1-x**3)**2)] }
-
-
-
-def A173776():
- x = SR.var('x')
- return { 'ogf': [((5-(46*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173782():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((((((((22500*x**16)-(382125*x**15))+(2723005*x**14))-(10917322*x**13))+(27938661*x**12))-(48873227*x**11))+(60780149*x**10))-(54895129*x**9))+(36368733*x**8))-(17776175*x**7))+(6499001*x**6))-(1854479*x**5))+(446565*x**4))-(94300*x**3))+(15732*x**2))-(1673*x))+80))/((1-x)*((x**2-(4*x))+1)*(((x**3-(6*x**2))+(5*x))-1)*((4*x)-1)*((5*x)-1)**2*(((3*x**2)-(5*x))+1)**2*(((5*x**2)-(5*x))+1)**2))] }
-
-
-
-def A173783():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((((((((((((((((((((((((((((((292626432*x**30)-(7.695378432E9*x**29))+(9.4084706304E10*x**28))-(7.12519981056E11*x**27))+(3.757888797696E12*x**26))-(1.471571807616E13*x**25))+(4.455605896896E13*x**24))-(1.07273952716256E14*x**23))+(2.09645023363168E14*x**22))-(3.37824014576768E14*x**21))+(4.54329405135504E14*x**20))-(5.1464368642592E14*x**19))+(4.9420341608216E14*x**18))-(4.03847150294172E14*x**17))+(2.81135354205764E14*x**16))-(1.6645372188348E14*x**15))+(8.345684480067E13*x**14))-(3.5182845104124E13*x**13))+(1.2345883162136E13*x**12))-(3.55772859462E12*x**11))+(8.27346101101E11*x**10))-(1.52042822189E11*x**9))+(2.172606519E10*x**8))-(2.499103126E9*x**7))+(289877178*x**6))-(45817212*x**5))+(7810422*x**4))-(1012942*x**3))+(86355*x**2))-(4311*x))+96))/((1-(2*x))*((x**2-(4*x))+1)*((4*x)-1)*((6*x)-1)**2*(((2*x**2)-(4*x))+1)*(((2*x**2)-(5*x))+1)*(((4*x**2)-(6*x))+1)**2*(((6*x**2)-(6*x))+1)**2*(((7*x**2)-(6*x))+1)**2*((((2*x**3)-(8*x**2))+(6*x))-1)*((((3*x**3)-(9*x**2))+(6*x))-1)**2))] }
-
-
-
-def A173785():
- x = SR.var('x')
- return { 'ogf': [((2*((((9*x**4)+(4*x**3)+(14*x**2))-(4*x))+1))/(1-x)**5)] }
-
-
-
-def A173802():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(20*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A173804():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(40*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173805():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(50*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173806():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(60*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173807():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(40*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173808():
- x = SR.var('x')
- return { 'ogf': [((x*(9-(20*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173809():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-2)+(3*x)+x**3)-(4*x**2)))/((1+x)*(x-1)**4)))] }
-
-
-
-def A173810():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(70*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173811():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(50*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173812():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(10*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173813():
- x = SR.var('x')
- return { 'ogf': [((x*(10+(80*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A173833():
- x = SR.var('x')
- return { 'ogf': [((x*((20*x)+7))/((x-1)*((10*x)-1)))] }
-
-
-
-def A173834():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(21*x**2))/((1-x)**2*(1-(10*x))))] }
-
-
-
-def A173835():
- x = SR.var('x')
- return { 'ogf': [((1-(19*x**2))/((1-x)**2*(1-(10*x))))] }
-
-
-
-def A173855():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x+1)*(((((2*x**4)-x**3)+(7*x**2))-x)+2))/((x-1)**2*(x**2+x+1)**2))] }
-
-
-
-def A173857():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x**2)-x**3))/(1-x**3))] }
-
-
-
-def A173858():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x**2)+x**3+x**4)-x**6))/(((1-x**2)+x**4)-x**6))] }
-
-
-
-def A173862():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**2))/((-1)+(2*x**3))))] }
-
-
-
-def A173873():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A173952():
- x = SR.var('x')
- return { 'ogf': [((32*x)/(((9*x)-1)*(x-1)))] }
-
-
-
-def A173960():
- x = SR.var('x')
- return { 'ogf': [((x*((21-(22*x))+(9*x**2)))/(1-x)**3)] }
-
-
-
-def A173961():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(20*x)+(20*x**2)+(4*x**3)))/((((1-(4*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A173962():
- x = SR.var('x')
- return { 'ogf': [((2*x*((7*x**2)+(10*x)+7))/(x-1)**4)] }
-
-
-
-def A173963():
- x = SR.var('x')
- return { 'ogf': [((4*x**3*(((x-2)*x)-5))/(x-1)**5)] }
-
-
-
-def A173965():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(((2*x**2)-x)+2))/(x-1)**4)] }
-
-
-
-def A173993():
- x = SR.var('x')
- return { 'ogf': [((((sqrt(((1-(2*x))*((1-(2*x)-(4*x**2))+(4*x**3))))-(2*x**2))+(4*x))-1)/(2*x*((1-(4*x))+(3*x**2))))] }
-
-
-
-def A174002():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(1-x)**6)] }
-
-
-
-def A174007():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-2)+(2*x**2)+x**3))/((x-1)**2*(1+x)**2)))] }
-
-
-
-def A174015():
- x = SR.var('x')
- return { 'ogf': [(((sqrt(((1-(2*x))+x**2+(4*x**3)))+(3*x))-1)/(2*x*(1-x)))] }
-
-
-
-def A174016():
- x = SR.var('x')
- return { 'ogf': [(((sqrt(((1-(4*x))+(4*x**2)+(8*x**3)))+(4*x))-1)/(2*x*(1-(2*x))))] }
-
-
-
-def A174018():
- x = SR.var('x')
- return { 'ogf': [((((12*x**2)/(x-1)**2)-((36*x**3)/(x-1)**3)-((72*x**3)/((x-1)*(x**2-1)))-((36*x**3)/(x**3-1))-((72*x**4)/((x-1)**2*(x**2-1)))-((36*x**4)/((x-1)*(x**3-1)))-((72*x**4)/(x**2-1)**2))+((72*x**5)/((x-1)**3*(x**2-1)))+((72*x**5)/((x-1)**2*(x**3-1)))+((144*x**5)/((x-1)*(x**2-1)**2))+((72*x**5)/((x-1)*(x**4-1)))+((108*x**5)/((x**2-1)*(x**3-1)))+((72*x**5)/(x**5-1))+((144*x**6)/((x-1)*(x**2-1)*(x**3-1)))+((72*x**6)/(x**2-1)**3)+((144*x**6)/((x**2-1)*(x**4-1)))+((72*x**6)/(x**3-1)**2)+((72*x**7)/((x**2-1)**2*(x**3-1)))+((72*x**7)/((x**2-1)*(x**5-1)))+((72*x**7)/((x**3-1)*(x**4-1)))+((72*x**8)/((x**3-1)*(x**5-1))))] }
-
-
-
-def A174019():
- x = SR.var('x')
- return { 'ogf': [(((x**2/(x-1)**2)-(x**3/(x-1)**3)-((2*x**3)/((x-1)*(x**2-1)))-(x**3/(x**3-1))-((2*x**4)/((x-1)**2*(x**2-1)))-(x**4/((x-1)*(x**3-1)))-((2*x**4)/(x**2-1)**2))+(x**5/((x-1)**3*(x**2-1)))+(x**5/((x-1)**2*(x**3-1)))+((2*x**5)/((x-1)*(x**2-1)**2))+(x**5/((x-1)*(x**4-1)))+(x**5/((x**2-1)*(x**3-1)))+(x**5/(x**5-1))+((2*x**6)/((x-1)*(x**2-1)*(x**3-1)))+((2*x**6)/((x**2-1)*(x**4-1)))+(x**6/(x**2-1)**3)+(x**6/(x**3-1)**2)+(x**7/((x**3-1)*(x**4-1)))+(x**7/((x**2-1)*(x**5-1)))+(x**7/((x**2-1)**2*(x**3-1)))+(x**8/((x**3-1)*(x**5-1))))] }
-
-
-
-def A174020():
- x = SR.var('x')
- return { 'ogf': [((((12*x**3)/((x-1)*(x**2-1)))-((108*x**5)/((x-1)*(x**2-1)**2))-((72*x**5)/((x-1)*(x**4-1)))-((72*x**5)/((x**3-1)*(x**2-1)))-((36*x**5)/(x**5-1)))+((72*x**7)/((x-1)*(x**2-1)**3))+((144*x**7)/((x-1)*(x**2-1)*(x**4-1)))+((72*x**7)/((x-1)*(x**6-1)))+((72*x**7)/((x**2-1)**2*(x**3-1)))+((72*x**7)/((x**2-1)*(x**5-1)))+((72*x**7)/(x**7-1))+((72*x**9)/((x-1)*(x**4-1)**2))+((144*x**9)/((x**2-1)*(x**3-1)*(x**4-1)))+((144*x**9)/((x**3-1)*(x**6-1)))+((72*x**9)/((x**4-1)*(x**5-1)))+((72*x**11)/((x**3-1)*(x**4-1)**2))+((72*x**11)/((x**3-1)*(x**8-1)))+((72*x**11)/((x**5-1)*(x**6-1)))+((72*x**13)/((x**5-1)*(x**8-1))))] }
-
-
-
-def A174029():
- x = SR.var('x')
- return { 'ogf': [((3+(18*x)+(15*x**2)+(9*x**3))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A174091():
- x = SR.var('x')
- return { 'ogf': [(((2-x)+x**3)/((1+x**2)*(x-1)**2))] }
-
-
-
-def A174107():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((((1-(5*x))+x**2)/((1-x)+x**2))))/(2*x))] }
-
-
-
-def A174114():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+(4*x**2)+x**3+x**4))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A174120():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**3+(4*x**2))-(4*x))+1))/((x-1)**4*((2*x)-1))))] }
-
-
-
-def A174132():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x))/((1+x)*(1-(3*x))))] }
-
-
-
-def A174138():
- x = SR.var('x')
- return { 'ogf': [((x*(5+x+x**2+x**3+x**4+(6*x**5)+x**6+x**7+x**8+x**9+(6*x**10)))/((1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A174141():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+(16*x**9)))/((1+x)*(1+x+x**2+x**3+x**4)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A174169():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(3*x**2))-sqrt(((((1-(2*x))+(3*x**2))-(6*x**3))+(9*x**4))))/(2*x**2))] }
-
-
-
-def A174171():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**2)-sqrt(((1-(2*x)-(7*x**2))+(4*x**3)+(4*x**4))))/(2*x**2))] }
-
-
-
-def A174195():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x)-(6*x**2))+(45*x**3))-(24*x**4)-((((1+x)-(4*x**2))+x**3)*(1-(4*x))**(3/2)))/(-(2*x**2*(1-(4*x))**(3/2))))] }
-
-
-
-def A174239():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**3)/((x-1)**2*(1+x)**2))] }
-
-
-
-def A174248():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**31+(3*x**30))-(2*x**29)-(7*x**28)-(25*x**27)-(78*x**26))+(23*x**25)+(116*x**24)+(217*x**23)+(604*x**22))-(21*x**21)-(556*x**20)-(649*x**19)-(1621*x**18)-(175*x**17))+(727*x**16)+(523*x**15)+(1707*x**14)+(236*x**13))-(470*x**12)-(143*x**11)-(749*x**10)-(133*x**9))+(166*x**8)+(15*x**7)+(126*x**6)+(27*x**5))-(23*x**4)-x**3-(6*x**2)-x)+1)/((((((((((x**35+(3*x**34))-(3*x**33)-(13*x**32)-(50*x**31)-(123*x**30))+(39*x**29)+(225*x**28)+(659*x**27)+(1476*x**26)+(60*x**25))-(1102*x**24)-(2600*x**23)-(6047*x**22)-(489*x**21))+(2786*x**20)+(3210*x**19)+(9566*x**18)+(1102*x**17))-(3349*x**16)-(1620*x**15)-(6885*x**14)-(1053*x**13))+(1970*x**12)+(414*x**11)+(2258*x**10)+(469*x**9))-(548*x**8)-(76*x**7)-(290*x**6)-(77*x**5))+(54*x**4)+(8*x**3)+(8*x**2)+(2*x))-1)))] }
-
-
-
-def A174257():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+(2*x)))/((1+x)*(1+x+x**2)*(x-1)**2))] }
-
-
-
-def A174312():
- x = SR.var('x')
- return { 'ogf': [((32*x)/(x-1)**2)] }
-
-
-
-def A174325():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((7*x**10)+(5*x**9)+(39*x**8)+(4*x**7)+(74*x**6)+(18*x**5)+(58*x**4)+(2*x**3)+(15*x**2)+x)-1))/((x-1)**3*(x+1)**3*(x**2+1)**3)))] }
-
-
-
-def A174333():
- x = SR.var('x')
- return { 'ogf': [((61*x*(1+x))/(1-x)**3)] }
-
-
-
-def A174334():
- x = SR.var('x')
- return { 'ogf': [((73*x*(1+x))/(1-x)**3)] }
-
-
-
-def A174337():
- x = SR.var('x')
- return { 'ogf': [((94*x*(1+x))/(1-x)**3)] }
-
-
-
-def A174338():
- x = SR.var('x')
- return { 'ogf': [((97*x*(1+x))/(1-x)**3)] }
-
-
-
-def A174371():
- x = SR.var('x')
- return { 'ogf': [(((49*x**2)+(22*x)+1)/(1-x)**3)] }
-
-
-
-def A174390():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-4)+x+(2*x**2)))/((x-1)**2*(1+x)**2)))] }
-
-
-
-def A174395():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4)/((x-1)*(x+1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A174399():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-sqrt(((1-(2*x)-(5*x**2))+(10*x**3)+x**4)))/(2*x**2))] }
-
-
-
-def A174469():
- x = SR.var('x')
- return { 'ogf': [((((((3*x**5)-(2*x**4))+x)-1)*x)/((x**5+x)-1))] }
-
-
-
-def A174474():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1-(4*x))+x**2))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A174500():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(2*x**3))-(4*x**2))+(2*x)+1))/((x-1)*(x+1)*((x**4-(4*x**2))+1))))] }
-
-
-
-def A174501():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(4*x**3))-(6*x**2))+(4*x)+1))/((x-1)*(x+1)*(x**2-(2*x)-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A174502():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+(6*x**3))-(8*x**2))+(6*x)+1)/((x-1)*(x+1)*((x**4-(8*x**2))+1))))] }
-
-
-
-def A174503():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+(8*x**3))-(10*x**2))+(8*x)+1)/((x-1)*(x+1)*((x**4-(10*x**2))+1))))] }
-
-
-
-def A174504():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**6-(2*x**5)-(2*x**4)-(2*x**3))+(6*x**2)+(2*x)+1))/((x-1)*(x**2+x+1)*((x**6-(6*x**3))+1))))] }
-
-
-
-def A174505():
- x = SR.var('x')
- return { 'ogf': [((((x**9-x**7-(5*x**6))+(2*x**5)+(3*x**4)+(6*x**3))-(3*x**2)-x-3)/((x-1)*(x**2+x+1)*((x**6-(3*x**3))+1)))] }
-
-
-
-def A174506():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**6-(4*x**5)-(4*x**4)-(2*x**3))+(20*x**2)+(4*x)+1))/((x-1)*((x**2-(3*x))+1)*(x**2+x+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A174507():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**6-(6*x**5)-(6*x**4)-(2*x**3))+(42*x**2)+(6*x)+1))/((x-1)*(x**2+x+1)*((x**6-(38*x**3))+1))))] }
-
-
-
-def A174508():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**6-(8*x**5)-(8*x**4)-(2*x**3))+(72*x**2)+(8*x)+1))/((x-1)*(x**2+x+1)*((x**6-(66*x**3))+1))))] }
-
-
-
-def A174509():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**6-(10*x**5)-(10*x**4)-(2*x**3))+(110*x**2)+(10*x)+1))/((x-1)*(x**2+x+1)*((x**6-(102*x**3))+1))))] }
-
-
-
-def A174510():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**6-(2*x**5)-(2*x**4)-(2*x**3))+(4*x**2)+(2*x)+1))/((x-1)*(x**2+x+1)*((x**6-(4*x**3))+1))))] }
-
-
-
-def A174542():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-x**2)+x+1))/((x-1)*((x**4+(4*x**2))-1)))] }
-
-
-
-def A174562():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(3*x)-(3*x**2))+x**3))/((-1)+x**2+x**4))] }
-
-
-
-def A174571():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-4)-x-(4*x**2)-x**3)+(4*x**4)+x**5+(4*x**6)))/((x-1)**2*(1+x)**2*(x**2+1)**2)))] }
-
-
-
-def A174592():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1+(8*x))-x**2))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A174595():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((4*x)+1)*(x**2+1))/((x-1)**3*(1+x)**3)))] }
-
-
-
-def A174618():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((1-x**2)+x**3))/(((x**4-x**2)+1)*((x**4+x**2)-1))))] }
-
-
-
-def A174619():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((x**3-x**2)+1))/(((x**4-x**2)+1)*((x**4+x**2)-1))))] }
-
-
-
-def A174634():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(3*x)-(9*x**2)))] }
-
-
-
-def A174642():
- x = SR.var('x')
- return { 'ogf': [(-((12*x**8*(x**3+1))/(x-1)**5))] }
-
-
-
-def A174644():
- x = SR.var('x')
- return { 'ogf': [((4*x**8*(((x**9+x**8+(7*x**7))-(6*x**6))+(5*x**5)+(10*x**4)+x**3+(6*x**2)+(4*x)+1))/(x-1)**6)] }
-
-
-
-def A174645():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**9*(((((((11*x**14)-(14*x**13))+(3*x**12)+(49*x**11))-(14*x**10)-(22*x**9))+(22*x**8)+(112*x**7)+(24*x**6))-(43*x**5))+(121*x**4)+(41*x**3)+(33*x**2)+(29*x)+8))/(x-1)**7))] }
-
-
-
-def A174646():
- x = SR.var('x')
- return { 'ogf': [((2*x**9*(((((((((((((((8*x**22)-(4*x**21)-(9*x**20))+(102*x**18))-(138*x**17))+(29*x**16)+(592*x**15))-(1610*x**14))+(2772*x**13))-(3091*x**12))+(3178*x**11))-(2049*x**10))+(1312*x**9))-(625*x**8))+(1438*x**7))-(449*x**6))+(388*x**5)+(403*x**4)+(148*x**3)+(82*x**2)+(42*x)+1))/(x-1)**8)] }
-
-
-
-def A174647():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**3*((((8*x**3)+(4*x**2))-(2*x))+1))/(((2*x)+1)*(((4*x**2)-(2*x))+1)**2)))] }
-
-
-
-def A174654():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)**2*(x+1)*(((x**3-(4*x**2))+(2*x))-1))/(((x**3-(2*x**2))+(4*x))-1)**3)] }
-
-
-
-def A174655():
- x = SR.var('x')
- return { 'ogf': [((x*((x**5-x**4)+(3*x**3)+(2*x**2)+(2*x)+1))/((x-1)**4*(x+1)))] }
-
-
-
-def A174679():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x**2+x**3+(6*x**4)+(4*x**5)+(22*x**6)+x**7+(25*x**8)+(4*x**9)+(9*x**10)))/((x-1)**3*(1+x)**3*(x**2+1)**3)))] }
-
-
-
-def A174685():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-75)-(169*x))+(435*x**2)+x**3))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1)))] }
-
-
-
-def A174698():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((((592*x**21)-(584*x**20)-(18100*x**19))+(49628*x**18)+(134264*x**17))-(735838*x**16))+(584418*x**15)+(2607764*x**14))-(7093608*x**13))+(5656936*x**12)+(5136811*x**11))-(13973779*x**10))+(14583702*x**9))-(1612610*x**8))+(2009820*x**7)+(6682287*x**6)+(1572406*x**5)+(1050447*x**4)+(138871*x**3)+(3716*x**2)+(72*x)+1))/(1-x)**9)] }
-
-
-
-def A174709():
- x = SR.var('x')
- return { 'ogf': [(-(x**6/((1+x)*((x**2-x)+1)*(1+x+x**2)*(x-1)**3)))] }
-
-
-
-def A174723():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/(x-1)**4)] }
-
-
-
-def A174737():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-x)+x**2))] }
-
-
-
-def A174745():
- x = SR.var('x')
- return { 'ogf': [((12*x**2)/((1-(110*x))+x**2))] }
-
-
-
-def A174746():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(1520*x)))/((1-(3040*x))+x**2))] }
-
-
-
-def A174748():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(23*x)))/((1-(46*x))+x**2))] }
-
-
-
-def A174749():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(35*x)))/((1-(70*x))+x**2))] }
-
-
-
-def A174750():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(37*x)))/((1-(74*x))+x**2))] }
-
-
-
-def A174751():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(25*x)))/((1-(50*x))+x**2))] }
-
-
-
-def A174752():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2049*x)))/((1-(4098*x))+x**2))] }
-
-
-
-def A174753():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3482*x)))/((1-(6964*x))+x**2))] }
-
-
-
-def A174754():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(24335*x)))/((1-(48670*x))+x**2))] }
-
-
-
-def A174755():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(48*x)))/((1-(96*x))+x**2))] }
-
-
-
-def A174756():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(50*x)))/((1-(100*x))+x**2))] }
-
-
-
-def A174757():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(66249*x)))/((1-(132498*x))+x**2))] }
-
-
-
-def A174758():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(89*x)))/((1-(178*x))+x**2))] }
-
-
-
-def A174759():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(151*x)))/((1-(302*x))+x**2))] }
-
-
-
-def A174760():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(19603*x)))/((1-(39206*x))+x**2))] }
-
-
-
-def A174761():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(530*x)))/((1-(1060*x))+x**2))] }
-
-
-
-def A174762():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(1766319049*x)))/((1-(3.532638098E9*x))+x**2))] }
-
-
-
-def A174763():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(63*x)))/((1-(126*x))+x**2))] }
-
-
-
-def A174765():
- x = SR.var('x')
- return { 'ogf': [((39*x**2)/((1-(340*x))+x**2))] }
-
-
-
-def A174766():
- x = SR.var('x')
- return { 'ogf': [((42*x**2)/((1-(394*x))+x**2))] }
-
-
-
-def A174767():
- x = SR.var('x')
- return { 'ogf': [((5*x**2)/((1-(48*x))+x**2))] }
-
-
-
-def A174768():
- x = SR.var('x')
- return { 'ogf': [((10*x**2)/((1-(102*x))+x**2))] }
-
-
-
-def A174769():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(9801*x)))/((1-(19602*x))+x**2))] }
-
-
-
-def A174770():
- x = SR.var('x')
- return { 'ogf': [((1820*x**2)/((1-(19602*x))+x**2))] }
-
-
-
-def A174771():
- x = SR.var('x')
- return { 'ogf': [((273*x**2)/((1-(3040*x))+x**2))] }
-
-
-
-def A174772():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1-(46*x))+x**2))] }
-
-
-
-def A174773():
- x = SR.var('x')
- return { 'ogf': [((6*x**2)/((1-(70*x))+x**2))] }
-
-
-
-def A174775():
- x = SR.var('x')
- return { 'ogf': [((12*x**2)/((1-(146*x))+x**2))] }
-
-
-
-def A174776():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1-(50*x))+x**2))] }
-
-
-
-def A174777():
- x = SR.var('x')
- return { 'ogf': [((6*x**2)/((1-(74*x))+x**2))] }
-
-
-
-def A174778():
- x = SR.var('x')
- return { 'ogf': [((320*x**2)/((1-(4098*x))+x**2))] }
-
-
-
-def A174779():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-(26*x))+x**2))] }
-
-
-
-def A174780():
- x = SR.var('x')
- return { 'ogf': [((531*x**2)/((1-(6964*x))+x**2))] }
-
-
-
-def A174784():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**3+x**4))/((1+x**2)*((x**4-x**2)+1)))] }
-
-
-
-def A174794():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(3*x**2)))/((-1)+x)**4)] }
-
-
-
-def A174808():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-sqrt(((1-(6*x)-(5*x**2))+(2*x**3)+x**4)))/(2*x*(1+x)))] }
-
-
-
-def A174810():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-sqrt(((1-(6*x)-(5*x**2))+(2*x**3)+x**4)))/(4*x*(1+x)))] }
-
-
-
-def A174814():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+(3*x)))/(1-x)**4)] }
-
-
-
-def A174850():
- x = SR.var('x')
- return { 'ogf': [((-(5*x*(1+(3*x)+(33*x**2)+(4*x**3)+(102*x**4)+(30*x**5)+(118*x**6)+(6*x**7)+(57*x**8)+(7*x**9)+(9*x**10))))/((x-1)**3*(1+x)**3*(x**2+1)**3))] }
-
-
-
-def A174851():
- x = SR.var('x')
- return { 'ogf': [((3588*x**2)/((1-(48670*x))+x**2))] }
-
-
-
-def A174853():
- x = SR.var('x')
- return { 'ogf': [((7*x**2)/((1-(96*x))+x**2))] }
-
-
-
-def A174855():
- x = SR.var('x')
- return { 'ogf': [((7*x**2)/((1-(100*x))+x**2))] }
-
-
-
-def A174871():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(4*x)+x**2+(3*x**3)+x**4+(4*x**5)+(4*x**6)))/((1+x)*((x**2-x)+1)*(1+x+x**2)*(x-1)**2))] }
-
-
-
-def A174927():
- x = SR.var('x')
- return { 'ogf': [((1+(64*x))/((1-x)*(1+x)))] }
-
-
-
-def A174928():
- x = SR.var('x')
- return { 'ogf': [((1+(64*x))/((1-x)**2*(1+x)))] }
-
-
-
-def A174929():
- x = SR.var('x')
- return { 'ogf': [((1+(64*x))/((1-x)**3*(1+x)))] }
-
-
-
-def A174959():
- x = SR.var('x')
- return { 'ogf': [((x**3*((2*x)-1))/((1-x)*(1-x-x**2)*(1-(2*x**2))))] }
-
-
-
-def A174971():
- x = SR.var('x')
- return { 'ogf': [(3/(1+x))] }
-
-
-
-def A174983():
- x = SR.var('x')
- return { 'ogf': [((9100*x**2)/((1-(132498*x))+x**2))] }
-
-
-
-def A174988():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((3*x)+1))/(((9*x**4)-(8*x**2))+1)))] }
-
-
-
-def A174994():
- x = SR.var('x')
- return { 'ogf': [(((-16)-(96*x**2)-(16*x**4))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A175014():
- x = SR.var('x')
- return { 'ogf': [((12*x**2)/((1-(178*x))+x**2))] }
-
-
-
-def A175015():
- x = SR.var('x')
- return { 'ogf': [((20*x**2)/((1-(302*x))+x**2))] }
-
-
-
-def A175016():
- x = SR.var('x')
- return { 'ogf': [((2574*x**2)/((1-(39206*x))+x**2))] }
-
-
-
-def A175049():
- x = SR.var('x')
- return { 'ogf': [((69*x**2)/((1-(1060*x))+x**2))] }
-
-
-
-def A175109():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(4*x)+1)*(x**2+(6*x)+1))/((1+x)*(x-1)**4))] }
-
-
-
-def A175110():
- x = SR.var('x')
- return { 'ogf': [((1+(36*x)+(118*x**2)+(36*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A175112():
- x = SR.var('x')
- return { 'ogf': [(((116*x)+(967*x**2)+(1672*x**3)+(967*x**4)+(116*x**5)+x**6+1)/((1+x)*(1-x)**5))] }
-
-
-
-def A175113():
- x = SR.var('x')
- return { 'ogf': [((1+(358*x)+(5279*x**2)+(11764*x**3)+(5279*x**4)+(358*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A175114():
- x = SR.var('x')
- return { 'ogf': [(((358*x)+(5279*x**2)+(11764*x**3)+(5279*x**4)+(358*x**5)+1+x**6)/(x-1)**6)] }
-
-
-
-def A175237():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+(20*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A175287():
- x = SR.var('x')
- return { 'ogf': [(((x**3-x**2)+x)/((((x**5-(3*x**4))+(2*x**3)+(2*x**2))-(3*x))+1))] }
-
-
-
-def A175378():
- x = SR.var('x')
- return { 'ogf': [((x**4*((2*x**2)-1))/((x**2-1)*((x**2+x)-1)*((((2*x**3)-(2*x**2))+(2*x))-1)))] }
-
-
-
-def A175395():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x))/(1+x)/((1-(3*x))+x**2))] }
-
-
-
-def A175485():
- x = SR.var('x')
- return { 'ogf': [((x**17+x**15+(5*x**14)+(7*x**13)+(6*x**12)+(52*x**11)+(13*x**10)+(32*x**9)+(53*x**8)+(36*x**7)+(17*x**6)+(91*x**5)+(11*x**4)+(15*x**3)+(14*x**2)+(5*x)+1)/(1-x**6)**3)] }
-
-
-
-def A175601():
- x = SR.var('x')
- return { 'ogf': [((7*x*(1+(80*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A175602():
- x = SR.var('x')
- return { 'ogf': [((8*x*(7+(20*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A175603():
- x = SR.var('x')
- return { 'ogf': [((40*x*(1+(8*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A175604():
- x = SR.var('x')
- return { 'ogf': [((8*x*(3+(60*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A175628():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((3*x**21)+x**20+x**19+(3*x**17))-(3*x**16)-(8*x**14)-(14*x**13)-(18*x**12)-(6*x**11)-(24*x**10)-(30*x**9)-(26*x**8)-(2*x**7)-(24*x**6)-(21*x**5)-(15*x**4)-(3*x**3)-(8*x**2)-(5*x)-3))/((x-1)**3*(x+1)**3*(x**2+1)**3*(x**4+1)**3))] }
-
-
-
-def A175629():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2+(2*x**3)+x**4))/(1+x+x**2+x**3+x**4+x**5+x**6))] }
-
-
-
-def A175633():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(127*x)))/((1-(254*x))+x**2))] }
-
-
-
-def A175654():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-(3*x)-x**2)+(6*x**3))),
-((1-x-x**2)/((1-(3*x)-x**2)+(6*x**3)))] }
-
-
-
-def A175655():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(5*x**2))/((1-(3*x)-x**2)+(6*x**3))),
-(((1+x)-(5*x**2))/((1-(3*x)-x**2)+(6*x**3)))] }
-
-
-
-def A175656():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/((1-(3*x))+(4*x**3)))] }
-
-
-
-def A175657():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(3*x**2))/((1-(3*x))+x**2+(2*x**3)))] }
-
-
-
-def A175658():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/((1-(4*x))+(3*x**2)+(2*x**3)))] }
-
-
-
-def A175659():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(7*x**2))/((1-(4*x))+x**2+(6*x**3)))] }
-
-
-
-def A175660():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(2*x**2))/((1-(3*x))+x**2+(2*x**3)))] }
-
-
-
-def A175672():
- x = SR.var('x')
- return { 'ogf': [((24*x**2)/((1-(254*x))+x**2))] }
-
-
-
-def A175676():
- x = SR.var('x')
- return { 'ogf': [(x**3/((x-1)**2*(1+x+x**2)**2))] }
-
-
-
-def A175707():
- x = SR.var('x')
- return { 'ogf': [((x**10+(8*x**9)+(51*x**8)+(136*x**7)+(252*x**6)+(300*x**5)+(252*x**4)+(136*x**3)+(51*x**2)+(8*x)+1)/((x**2+x+1)*(x+1)**4*(x-1)**12))] }
-
-
-
-def A175722():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1+x)-x**2)**2))] }
-
-
-
-def A175724():
- x = SR.var('x')
- return { 'ogf': [(x**4/((x+1)*(x**2+x+1)*((x**2-x)+1)*(x-1)**4))] }
-
-
-
-def A175772():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-x**9-x**17)+x**18)),
-(1/(((1-x**2)+x**4)*((1-x**4-x**5-x**6)+x**10)*((((1-x)+x**2)-x**3)+x**4)))] }
-
-
-
-def A175773():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-x)+x**2)*((((1-x**2-x**3)+x**5)-x**7-x**8)+x**10)))] }
-
-
-
-def A175774():
- x = SR.var('x')
- return { 'ogf': [((x*(35+(280*x)))/((1-(10*x))*(1-x)))] }
-
-
-
-def A175775():
- x = SR.var('x')
- return { 'ogf': [((x*(7*(7+(20*x))))/((1-(11*x))+(10*x**2)))] }
-
-
-
-def A175776():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x+1)*((x**2-x)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1))/((x-1)**4*(x**2+x+1)*(x**4+x**3+x**2+x+1)*((((((x**8-x**7)+x**5)-x**4)+x**3)-x)+1)))] }
-
-
-
-def A175805():
- x = SR.var('x')
- return { 'ogf': [(21/(1-(2*x)))] }
-
-
-
-def A175806():
- x = SR.var('x')
- return { 'ogf': [(27/(1-(2*x)))] }
-
-
-
-def A175812():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+1))/((x+1)*(x**2+x+1)*(x-1)**4))] }
-
-
-
-def A175828():
- x = SR.var('x')
- return { 'ogf': [((1+x+(11*x**2)+(9*x**3)+(2*x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A175831():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x**2)+x**4))/((1+x)*(1+x+x**2)*(x-1)**4))] }
-
-
-
-def A175833():
- x = SR.var('x')
- return { 'ogf': [((4+(7*x)+(11*x**2))/(1-x**3))] }
-
-
-
-def A175842():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((x**14-x**13)+x**11)-x**10)+x**9+x**5)-x**4)+x**3)-x)+1))/((x-1)**4*(x+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A175846():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1))/((x-1)**4*(x**2+x+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A175848():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**4-x**3)+x**2)-x)+1)*((x**4-x**2)+1))/((x-1)**4*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A175864():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((x**2-x)+1)*((x**4-x**2)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)*((x**6-x**3)+1))/((x-1)**4*(x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A175868():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-x**2)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1))/((x-1)**4*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A175869():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((x**2-x)+1)*((x**4-x**2)+1)*((x**6-x**3)+1)*((((((((((x**10-x**9)+x**8)-x**7)+x**6)-x**5)+x**4)-x**3)+x**2)-x)+1))/((x-1)**4*(x**22+x**21+x**20+x**19+x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A175870():
- x = SR.var('x')
- return { 'ogf': [((x*((x**6-x**3)+1))/((x-1)**4*(x+1)*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A175885():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A175886():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(11*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A175887():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(13*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A175899():
- x = SR.var('x')
- return { 'ogf': [((x*((-(2*x))-(3*x**2)-(8*x**3)))/((-1)+x**2+x**3+(2*x**4)))] }
-
-
-
-def A175934():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-sqrt((((x**4+(2*x**3))-x**2-(6*x))+1)))/(2*x))] }
-
-
-
-def A175939():
- x = SR.var('x')
- return { 'ogf': [(((((x**4+(2*x**3))-(5*x**2)-(10*x))+1)**(1/2)-x**2-(3*x)-1)/(2*x*(x-1)*(x+2)**2))] }
-
-
-
-def A175962():
- x = SR.var('x')
- return { 'ogf': [((((1-x)*((1+x)-(4*x**2)))-((1-x)**2*sqrt(((1-(12*x))+(16*x**2)))))/(2*x*(2-(3*x))**2))] }
-
-
-
-def A175971():
- x = SR.var('x')
- return { 'ogf': [(-((16*x*(x**8+x**7+(9*x**6)+(22*x**5)+(6*x**4)+(22*x**3)+(9*x**2)+x+1))/((x-1)**3*(x**2+x+1)**3)))] }
-
-
-
-def A175976():
- x = SR.var('x')
- return { 'ogf': [((((-2)+(10*x))-(17*x**2))/(((4*x)-1)*(x-1)**2))] }
-
-
-
-def A176006():
- x = SR.var('x')
- return { 'ogf': [((3-x-sqrt(((1-(6*x))+x**2)))/(2*(1-x)))] }
-
-
-
-def A176010():
- x = SR.var('x')
- return { 'ogf': [((x*(14+(69*x)+(14*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A176040():
- x = SR.var('x')
- return { 'ogf': [((3+x)/((1-x)*(1+x)))] }
-
-
-
-def A176059():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/((1-x)*(1+x)))] }
-
-
-
-def A176060():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+x**2))/(1-x)**5)] }
-
-
-
-def A176085():
- x = SR.var('x')
- return { 'ogf': [(((1-(sqrt((1-(4*x)))/x))*x**2)/(sqrt((1-(4*x)))*((x**2+(4*x))-1)))] }
-
-
-
-def A176126():
- x = SR.var('x')
- return { 'ogf': [((((((x**4-x**3)+(3*x**2))-x)+1)*((x**4-x**3-(2*x**2)-x)+1))/((x-1)**3*(x**2+1)**3))] }
-
-
-
-def A176145():
- x = SR.var('x')
- return { 'ogf': [((x**4*((1+(3*x**2))-x**3))/(1-x)**5)] }
-
-
-
-def A176177():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x))/((x-1)*((-1)+(3*x))**2)))] }
-
-
-
-def A176222():
- x = SR.var('x')
- return { 'ogf': [((x**4*((-3)+x))/((1+x)*(x-1)**3))] }
-
-
-
-def A176260():
- x = SR.var('x')
- return { 'ogf': [((5+x)/(1-x**2))] }
-
-
-
-def A176280():
- x = SR.var('x')
- return { 'ogf': [(sqrt((1-(4*x)))/(1-(4*x)-x**2))] }
-
-
-
-def A176281():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(4*x**2))/(((1-(8*x))+(16*x**2))-(8*x**3)))] }
-
-
-
-def A176288():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(14*x**2))-(8*x**3))/((1-(3*x))+(4*x**2))**2)] }
-
-
-
-def A176290():
- x = SR.var('x')
- return { 'ogf': [((((1-(8*x))+(4*x**2))-x**3)/((1-(5*x))+x**2)**2)] }
-
-
-
-def A176326():
- x = SR.var('x')
- return { 'ogf': [(((7+(9*x)+(11*x**2))-(8*x**3)-(7*x**4)-(14*x**5))/((x-1)**2*(1+x+x**2)**2))] }
-
-
-
-def A176355():
- x = SR.var('x')
- return { 'ogf': [((6+x)/(1-x**2))] }
-
-
-
-def A176364():
- x = SR.var('x')
- return { 'ogf': [((226153980*x**2)/((1-(3.532638098E9*x))+x**2))] }
-
-
-
-def A176367():
- x = SR.var('x')
- return { 'ogf': [((8*x**2)/((1-(126*x))+x**2))] }
-
-
-
-def A176368():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(129*x)))/((1-(258*x))+x**2))] }
-
-
-
-def A176369():
- x = SR.var('x')
- return { 'ogf': [((16*x**2)/((1-(258*x))+x**2))] }
-
-
-
-def A176370():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(65*x)))/((1-(130*x))+x**2))] }
-
-
-
-def A176372():
- x = SR.var('x')
- return { 'ogf': [((8*x**2)/((1-(130*x))+x**2))] }
-
-
-
-def A176373():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(48842*x)))/((1-(97684*x))+x**2))] }
-
-
-
-def A176374():
- x = SR.var('x')
- return { 'ogf': [((5967*x**2)/((1-(97684*x))+x**2))] }
-
-
-
-def A176375():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(7775*x)))/((1-(15550*x))+x**2))] }
-
-
-
-def A176376():
- x = SR.var('x')
- return { 'ogf': [((936*x**2)/((1-(15550*x))+x**2))] }
-
-
-
-def A176377():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(251*x)))/((1-(502*x))+x**2))] }
-
-
-
-def A176378():
- x = SR.var('x')
- return { 'ogf': [((30*x**2)/((1-(502*x))+x**2))] }
-
-
-
-def A176380():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3480*x)))/((1-(6960*x))+x**2))] }
-
-
-
-def A176381():
- x = SR.var('x')
- return { 'ogf': [((413*x**2)/((1-(6960*x))+x**2))] }
-
-
-
-def A176382():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2281249*x)))/((1-(4562498*x))+x**2))] }
-
-
-
-def A176384():
- x = SR.var('x')
- return { 'ogf': [((267000*x**2)/((1-(4562498*x))+x**2))] }
-
-
-
-def A176386():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3699*x)))/((1-(7398*x))+x**2))] }
-
-
-
-def A176387():
- x = SR.var('x')
- return { 'ogf': [((430*x**2)/((1-(7398*x))+x**2))] }
-
-
-
-def A176413():
- x = SR.var('x')
- return { 'ogf': [(19/(1-(3*x)))] }
-
-
-
-def A176415():
- x = SR.var('x')
- return { 'ogf': [((7+x)/(1-x**2))] }
-
-
-
-def A176447():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/((x-1)**2*(1+x)**2)),
-((x*(1-x)*(1-x**6))/((1-x**2)**3*(1-x**3)))] }
-
-
-
-def A176448():
- x = SR.var('x')
- return { 'ogf': [((5-(3*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A176449():
- x = SR.var('x')
- return { 'ogf': [((7-(5*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A176476():
- x = SR.var('x')
- return { 'ogf': [(x/((((1-(6*x))+(9*x**2))-(5*x**3))+x**4))] }
-
-
-
-def A176479():
- x = SR.var('x')
- return { 'ogf': [((1/4)-((x-3)/(4*sqrt(((x**2-(6*x))+1)))))] }
-
-
-
-def A176514():
- x = SR.var('x')
- return { 'ogf': [(((-3)-x-x**2-(3*x**3)-(2*x**4)-x**5)/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A176563():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2)/((1+x)*(1+x**2)))] }
-
-
-
-def A176632():
- x = SR.var('x')
- return { 'ogf': [((((77+(358*x))-(1868*x**2))+(1424*x**3))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A176633():
- x = SR.var('x')
- return { 'ogf': [(((83+(210*x))-(632*x**2))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A176634():
- x = SR.var('x')
- return { 'ogf': [(((89-(104*x)-(324*x**2))+(336*x**3))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A176635():
- x = SR.var('x')
- return { 'ogf': [((57-(100*x))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A176636():
- x = SR.var('x')
- return { 'ogf': [((57+(71*x))/((1-x)*(1+x)))] }
-
-
-
-def A176640():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-(4*x**2))+(4*x**3)))/((1-x)**2*(1+x)*(1-(2*x))**2*(1+(2*x))))] }
-
-
-
-def A176646():
- x = SR.var('x')
- return { 'ogf': [((30*x*(1+(20*x)+(25*x**2)+(2*x**3)))/(x-1)**6)] }
-
-
-
-def A176662():
- x = SR.var('x')
- return { 'ogf': [((((-(6*x**2))+(12*x**3)+2)-x)/(1-(2*x))**2)] }
-
-
-
-def A176672():
- x = SR.var('x')
- return { 'ogf': [((1+x+(7*x**2)+(5*x**3)+(11*x**4)+(2*x**5)+(5*x**6)+x**7)/((x-1)**2*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A176691():
- x = SR.var('x')
- return { 'ogf': [(((-2)+(3*x)+x**2)/(((2*x)-1)*(x-1)**2))] }
-
-
-
-def A176710():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x))/((-1)+(12*x**2)))] }
-
-
-
-def A176711():
- x = SR.var('x')
- return { 'ogf': [((3*((7+(60*x)+(50*x**2)+(12*x**3))-x**4))/(1-x)**5)] }
-
-
-
-def A176712():
- x = SR.var('x')
- return { 'ogf': [((3*(((95+(460*x))-(590*x**2))+(124*x**3)+(39*x**4)))/(1-x)**5)] }
-
-
-
-def A176743():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x)+(2*x**2)+(10*x**3)+x**4+x**5)-(2*x**7))/((x-1)**2*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A176758():
- x = SR.var('x')
- return { 'ogf': [((2*x**3)/(((2*x)-1)*(((2*x**2)+(2*x))-1)))] }
-
-
-
-def A176777():
- x = SR.var('x')
- return { 'ogf': [(((1-x-(5*x**2))+(7*x**3))/(((2*x)-1)*(x-1)**3))] }
-
-
-
-def A176780():
- x = SR.var('x')
- return { 'ogf': [((6*(1+x)**2)/(1-x)**5)] }
-
-
-
-def A176805():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((5*x)-2))/(((3*x)-1)*(x-1)**2))] }
-
-
-
-def A176848():
- x = SR.var('x')
- return { 'ogf': [(((x-1)**2*(x**2+x+1))/((x**4-(2*x**3)-x)+1))] }
-
-
-
-def A176886():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**4*((90*x**15)+(1332*x**14)+(15417*x**13)+(93042*x**12)+(372376*x**11)+(983864*x**10)+(1834807*x**9)+(2423054*x**8)+(2310242*x**7)+(1568260*x**6)+(748519*x**5)+(239742*x**4)+(48236*x**3)+(5264*x**2)+(233*x)+2))/((x-1)**13*(x+1)**7)))] }
-
-
-
-def A176889():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-(2*x**2))+(2*x**3)+x**4))/(1-x**2)**3)] }
-
-
-
-def A176895():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(2*x**2)-(4*x**3))/((x-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A176900():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(4*x**2))/((1-(2*x))+(4*x**2))**2)] }
-
-
-
-def A176916():
- x = SR.var('x')
- return { 'ogf': [(((-2)+(3*x)+(19*x**2))/(((5*x)-1)*(x-1)**2))] }
-
-
-
-def A176961():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((x-1)*((2*x)+1)*((2*x)-1)))] }
-
-
-
-def A176963():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(8*x**2)))/((x-1)*((4*x)-1)*((4*x)+1)))] }
-
-
-
-def A176965():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x**2))-x))/((x-1)*((2*x)+1)*((2*x)-1)))] }
-
-
-
-def A176971():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x**3/(1+x))))] }
-
-
-
-def A176972():
- x = SR.var('x')
- return { 'ogf': [(((-2)+(3*x)+(41*x**2))/(((7*x)-1)*(x-1)**2))] }
-
-
-
-def A176981():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(x**2/(1-((2*x)/(1-(x/(1+x))))))))] }
-
-
-
-def A177002():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(4*x**2)-(2*x**3))/((x-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A177010():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**2+((1+x)*sqrt(((1-(6*x))+x**2))))/2)] }
-
-
-
-def A177019():
- x = SR.var('x')
- return { 'ogf': [(((7-(446*x))+(1330*x**2))/((1-x)*(1-(10*x))*(1-(100*x))))] }
-
-
-
-def A177044():
- x = SR.var('x')
- return { 'ogf': [((x*(38+(27*x)+(38*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A177046():
- x = SR.var('x')
- return { 'ogf': [((x*(16+(95*x)+(16*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A177058():
- x = SR.var('x')
- return { 'ogf': [(((3-(11*x))+(13*x**2)+x**3)/(1-x)**4)] }
-
-
-
-def A177059():
- x = SR.var('x')
- return { 'ogf': [((6+(38*x)+(6*x**2))/(1-x)**3)] }
-
-
-
-def A177065():
- x = SR.var('x')
- return { 'ogf': [((15+(98*x)+(15*x**2))/(1-x)**3)] }
-
-
-
-def A177069():
- x = SR.var('x')
- return { 'ogf': [((((1-(11*x))+(2091*x**2)+(130021*x**3)+(524976*x**4))-(14501046*x**5)-(91394082*x**6)-(163229406*x**7)-(104915271*x**8)-(24085951*x**9)-(1676905*x**10)-(22407*x**11)-(10*x**12))/((1-x)**12*(1-(11*x))))] }
-
-
-
-def A177071():
- x = SR.var('x')
- return { 'ogf': [(-((2*(x+6)*((6*x)+1))/(x-1)**3))] }
-
-
-
-def A177072():
- x = SR.var('x')
- return { 'ogf': [((2*(7+(67*x)+(7*x**2)))/(1-x)**3)] }
-
-
-
-def A177073():
- x = SR.var('x')
- return { 'ogf': [(-((2*((x*((10*x)+61))+10))/(x-1)**3))] }
-
-
-
-def A177074():
- x = SR.var('x')
- return { 'ogf': [((15*x*(1+(8*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177075():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+(38*x**2)+(62*x**3)+(25*x**4)+x**5)/(1-x)**6)] }
-
-
-
-def A177080():
- x = SR.var('x')
- return { 'ogf': [((15*x*(1+(20*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177090():
- x = SR.var('x')
- return { 'ogf': [((12*x**2)/(((100*x)-1)*(x-1)))] }
-
-
-
-def A177095():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(63*x)))/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A177096():
- x = SR.var('x')
- return { 'ogf': [((10*x*(4+(5*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177097():
- x = SR.var('x')
- return { 'ogf': [((30*x*(1+(8*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177098():
- x = SR.var('x')
- return { 'ogf': [((18*x*(1+(20*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177099():
- x = SR.var('x')
- return { 'ogf': [((x*((-(79*x))-83))/(x-1)**3)] }
-
-
-
-def A177100():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x+1)*((((x**4-x**3)+x**2)-x)+1))/((x-1)**4*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A177107():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+(20*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177108():
- x = SR.var('x')
- return { 'ogf': [((4*x*(7+(20*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177109():
- x = SR.var('x')
- return { 'ogf': [((20*x*(1+(8*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177112():
- x = SR.var('x')
- return { 'ogf': [((12*x*(1+(20*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177114():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(80*x)))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A177154():
- x = SR.var('x')
- return { 'ogf': [((2*x*(4+(3*x)+(2*x**2)+x**3))/(1-x**5))] }
-
-
-
-def A177176():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x)*((x**2-x)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1))/((x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A177187():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1-(8*x**2))+x**4))] }
-
-
-
-def A177189():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((1-x)+x**2+x**4)-x**3))/((1+x)*(1+x**2)*(1+x**4)*(x-1)**4))] }
-
-
-
-def A177205():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x)*((((((((((((x**12-(2*x**11))+(2*x**10))-x**9)+x**8)-x**7)+x**6)-x**5)+x**4)-x**3)+(2*x**2))-(2*x))+1))/((x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A177206():
- x = SR.var('x')
- return { 'ogf': [(-((((((3*x**4)-(13*x**3))+(21*x**2))-(15*x))+6)/(x-1)**5))] }
-
-
-
-def A177239():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1+x)*(x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A177332():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x+1)*((x**2-x)+1)*((x**4-x**2)+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1)*((((x**10-x**6)+x**5)-x**4)+1))/((x-1)**4*(x**28+x**27+x**26+x**25+x**24+x**23+x**22+x**21+x**20+x**19+x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A177337():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((1-x)+x**3)-x**4)+x**5)-x**6)+x**7)-x**9)+x**10))/((1+x)*(1+x+x**2)*((x**2-x)+1)*(x**6+x**3+1)*((x**6-x**3)+1)*(x-1)**4))] }
-
-
-
-def A177339():
- x = SR.var('x')
- return { 'ogf': [((x**5*((1-x**2)+x**4))/((1+x)*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**4))] }
-
-
-
-def A177342():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+x**2+x**3))/(1-x)**4)] }
-
-
-
-def A177369():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-(4*x**2))/((1-(3*x)-(4*x**2))+(4*x**3))),
-(((1+(4*x))-(4*x**2))/((1-(3*x)-(4*x**2))+(4*x**3)))] }
-
-
-
-def A177371():
- x = SR.var('x')
- return { 'ogf': [((((1+(12*x))-(24*x**2))+(8*x**4))/(((1-(8*x))+(4*x**2)+(4*x**3))*((1+(2*x))-(2*x**2))))] }
-
-
-
-def A177420():
- x = SR.var('x')
- return { 'ogf': [(((((((221+(1428*x))-(2300*x**2))+(24993*x**3)+(223335*x**4)+(2415633*x**5)+(20941524*x**6))-(28157325*x**7))+(2146570770*x**8))-(3.999357024E9*x**9)-(390079584*x**10))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177421():
- x = SR.var('x')
- return { 'ogf': [(((((((629+(2182*x))-(11030*x**2))+(125276*x**3)+(678456*x**4)+(7763712*x**5)+(22853574*x**6)+(64054092*x**7)+(3.818545836E9*x**8))-(1.4897917296E10*x**9))+(1.488463896E10*x**10))-(3.9007344E9*x**11))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177422():
- x = SR.var('x')
- return { 'ogf': [((((((((221+(612*x))-(1187*x**2))+(37195*x**3)+(216865*x**4)+(4612228*x**5))-(6056532*x**6))+(71320925*x**7)+(1082968138*x**8))-(2.429408504E9*x**9))+(20966400*x**10))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177423():
- x = SR.var('x')
- return { 'ogf': [(((((((753-(228*x))+(1020*x**2)+(97128*x**3)+(517164*x**4)+(9133668*x**5))-(31930858*x**6))+(497474728*x**7))-(28023638*x**8)-(3.587820988E9*x**9))+(3.014752848E9*x**10)+(125798400*x**11))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177468():
- x = SR.var('x')
- return { 'ogf': [(((1+x+(12*x**2))-(8*x**3))/(((1-(5*x)-(30*x**2))+(69*x**3)+(31*x**4))-(22*x**5)))] }
-
-
-
-def A177469():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+(38*x**2))-(72*x**3)-(8*x**4))+(30*x**5))/((((1-(8*x)-(66*x**2))+(280*x**3)+(178*x**4))-(532*x**5)-(84*x**6))+(108*x**7)))] }
-
-
-
-def A177485():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**3+x**5)/(((1-x**2)+x**3)*(1-x-x**3)))] }
-
-
-
-def A177499():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x)+(4*x**2)+(16*x**3))/(1-x**4))] }
-
-
-
-def A177682():
- x = SR.var('x')
- return { 'ogf': [((((179+(318*x)+(4020*x**2)+(88388*x**3))-(352284*x**4))+(259376*x**5))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177683():
- x = SR.var('x')
- return { 'ogf': [(((191+(441*x)+(6167*x**2)+(50734*x**3))-(116584*x**4))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177684():
- x = SR.var('x')
- return { 'ogf': [((3*(((211+(126*x)+(7080*x**2)+(5914*x**3))-(86148*x**4))+(72816*x**5)))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177685():
- x = SR.var('x')
- return { 'ogf': [(((603+(1113*x)+(35272*x**2))-(60952*x**3)-(21856*x**4))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177702():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2))/(1-x**3))] }
-
-
-
-def A177704():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+(2*x**3))/(1-x**4))] }
-
-
-
-def A177706():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+(2*x**4))/(1-x**5))] }
-
-
-
-def A177727():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x))/((x-1)*(x**2+(3*x)+1)*((x**2-(7*x))+1)))] }
-
-
-
-def A177728():
- x = SR.var('x')
- return { 'ogf': [(-(((14*x)+1)/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)*((16*x)-1))))] }
-
-
-
-def A177730():
- x = SR.var('x')
- return { 'ogf': [(((6*x)+1)/((x-1)*((2*x)-1)*((4*x)-1)*((8*x)-1)))] }
-
-
-
-def A177747():
- x = SR.var('x')
- return { 'ogf': [(1/((x+1)**4*(x-1)**6))] }
-
-
-
-def A177755():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x**5+(8*x**4)+(14*x**3)+(18*x**2)+(5*x)+2))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A177756():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((3*x**8)+(58*x**7)+(160*x**6)+(518*x**5)+(442*x**4)+(518*x**3)+(160*x**2)+(58*x)+3))/((x-1)**7*(x+1)**5)))] }
-
-
-
-def A177757():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**4*((3*x**11)+(122*x**10)+(401*x**9)+(2508*x**8)+(3316*x**7)+(7780*x**6)+(5172*x**5)+(5236*x**4)+(1609*x**3)+(666*x**2)+(59*x)+8))/((x-1)**9*(x+1)**7)))] }
-
-
-
-def A177758():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**5*((5*x**14)+(406*x**13)+(1333*x**12)+(14880*x**11)+(24307*x**10)+(97498*x**9)+(95187*x**8)+(175328*x**7)+(100307*x**6)+(93018*x**5)+(28147*x**4)+(12832*x**3)+(1589*x**2)+(278*x)+5))/((x-1)**11*(x+1)**9)))] }
-
-
-
-def A177759():
- x = SR.var('x')
- return { 'ogf': [(-((48*x**6*((15*x**17)+(2386*x**16)+(6778*x**15)+(133898*x**14)+(235216*x**13)+(1520054*x**12)+(1844806*x**11)+(5402462*x**10)+(4378450*x**9)+(6819710*x**8)+(3509350*x**7)+(3079094*x**6)+(926032*x**5)+(445642*x**4)+(65754*x**3)+(14946*x**2)+(639*x)+48))/((x-1)**13*(x+1)**11)))] }
-
-
-
-def A177769():
- x = SR.var('x')
- return { 'ogf': [((111*x)/(x-1)**2)] }
-
-
-
-def A177787():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(3*x))+(2*x**2)))/(x-1)**4)] }
-
-
-
-def A177790():
- x = SR.var('x')
- return { 'ogf': [(1+((((1-x)**2*sqrt(((1+x+x**2)*((1-(3*x))+x**2))))-(((1-(3*x))+x**2)*(1+x**2)))/(x**2*((1-(3*x))+x**2))))] }
-
-
-
-def A177795():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**2*x**2)/((1-(2*x))*(((1-(2*x))+x**3)-x**4)))] }
-
-
-
-def A177843():
- x = SR.var('x')
- return { 'ogf': [((((775+(3494*x))-(2002*x**2)-(30932*x**3))+(28656*x**4))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177844():
- x = SR.var('x')
- return { 'ogf': [((((279+(2322*x))-(5736*x**2))+(704*x**3))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177845():
- x = SR.var('x')
- return { 'ogf': [((((775+(3494*x))-(17360*x**2))+(13088*x**3))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177846():
- x = SR.var('x')
- return { 'ogf': [(((837+(2874*x))-(8504*x**2))/((1-(2*x))*(1-(4*x))))] }
-
-
-
-def A177849():
- x = SR.var('x')
- return { 'ogf': [(((1/(1-x**10)/(1-x**25))+x**5+x**15)*(1+x+x**2+x**3+x**4))] }
-
-
-
-def A177881():
- x = SR.var('x')
- return { 'ogf': [(x**2/((x-1)*((3*x)-1)*(x**2+1)))] }
-
-
-
-def A177883():
- x = SR.var('x')
- return { 'ogf': [(((-4)-(5*x)-(7*x**2)-(2*x**3)-x**4-(8*x**5))/((x-1)*(1+x)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A177890():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)))/(1-x)**4)] }
-
-
-
-def A177898():
- x = SR.var('x')
- return { 'ogf': [((((5-(3*x))*x)+1)/((x-1)**2*(x+1)))] }
-
-
-
-def A178072():
- x = SR.var('x')
- return { 'ogf': [(2/(1+(2*x)+x**2+sqrt(((1-(4*x))+(6*x**2)+x**4))))] }
-
-
-
-def A178073():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+x**2+x**3))/(1-x)**5)] }
-
-
-
-def A178074():
- x = SR.var('x')
- return { 'ogf': [(2/((1-x)+(2*x**2)+sqrt((1+(2*x)+(5*x**2)+(4*x**4)))))] }
-
-
-
-def A178115():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+x**2)-x**3)/(1+(3*x**2)+x**4))] }
-
-
-
-def A178134():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(6*x**2)-(10*x**3)-(5*x**4))+(5*x**5)))/((x-1)*(1+x)*(((5*x**2)+x)-1)*(((5*x**4)+x**2)-1))))] }
-
-
-
-def A178140():
- x = SR.var('x')
- return { 'ogf': [(-((48*x**7*((105*x**20)+(32558*x**19)+(69284*x**18)+(2532234*x**17)+(4270573*x**16)+(43976860*x**15)+(59687712*x**14)+(262529316*x**13)+(264238506*x**12)+(619225992*x**11)+(438942840*x**10)+(606753672*x**9)+(289183146*x**8)+(243462436*x**7)+(72876832*x**6)+(36501660*x**5)+(6031853*x**4)+(1631114*x**3)+(110244*x**2)+(12078*x)+105))/((x-1)**15*(x+1)**13)))] }
-
-
-
-def A178142():
- x = SR.var('x')
- return { 'ogf': [(-((x*(2+(5*x)+(5*x**2)))/((x-1)*(1+x)*(1+x+x**2))))] }
-
-
-
-def A178143():
- x = SR.var('x')
- return { 'ogf': [(-((x*(4+(13*x)+(13*x**2)))/((x-1)*(1+x)*(1+x+x**2))))] }
-
-
-
-def A178144():
- x = SR.var('x')
- return { 'ogf': [((-(x*(2+(7*x)+(12*x**2)+(17*x**3)+(22*x**4)+(10*x**6)+(20*x**5))))/((x-1)*(1+x)*(1+x+x**2)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A178146():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((3*x**6)+(6*x**5)+(7*x**4)+(6*x**3)+(5*x**2)+(3*x)+1))/((x-1)*(x+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A178147():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(4+(17*x)+(30*x**2)+(55*x**3)+(80*x**4)+(38*x**6)+(76*x**5)))/((x-1)*(1+x)*(1+x+x**2)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A178205():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(10*x**3)))] }
-
-
-
-def A178208():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+x)*(1+(13*x)+x**2))/(1-x)**7)] }
-
-
-
-def A178218():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(3*x))-(3*x**2))+x**3))/((1-x)**3*(1+x)))] }
-
-
-
-def A178222():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1+x)*(1-(3*x))*(1-x)**2))] }
-
-
-
-def A178242():
- x = SR.var('x')
- return { 'ogf': [((x*((((-3)+(2*x))-(3*x**2)-(3*x**3))+x**7))/((x-1)**3*(x**2+1)**3))] }
-
-
-
-def A178312():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)))/((1+x)**3*(1-x)**4))] }
-
-
-
-def A178320():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((x**5-x**4-(2*x**3))+(2*x**2)+(2*x))-1)))] }
-
-
-
-def A178370():
- x = SR.var('x')
- return { 'ogf': [((((((((-7)-(4*x))+(7*x**2))-(46*x**3))+(9*x**4))-(8*x**5)-(4*x**6)-(2*x**7))+x**8)/((x-1)**3*(x**2+1)**3))] }
-
-
-
-def A178372():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**10*(((((((((((((((((((((72*x**29)-(244*x**28))+(40*x**27)+(1379*x**26))-(3400*x**25))+(4619*x**24))-(6525*x**23))+(10407*x**22))-(8879*x**21)-(901*x**20))+(4213*x**19)+(10475*x**18))-(33273*x**17))+(60823*x**16))-(90147*x**15))+(109862*x**14))-(106589*x**13))+(92686*x**12))-(68408*x**11))+(45714*x**10))-(16426*x**9))+(999*x**8)+(9801*x**7))-(1850*x**6))+(2355*x**5)+(1922*x**4)+(826*x**3)+(461*x**2)+(132*x)+16))/(x-1)**9))] }
-
-
-
-def A178381():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(3*x**2)-(2*x**3))+x**4)/((1-(5*x**2))+(5*x**4))),
-(1/(1-(x/(1-(x/(1+(x/(1+(x/(1-(x/(1-(x/(1+(x/(1+x))))))))))))))))] }
-
-
-
-def A178397():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**2)-x)/((x-1)*((7*x)-1)*(x**2+1))))] }
-
-
-
-def A178409():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*(((((((((4*x**13)-(17*x**12))+(3*x**11))-(469*x**10))+(4084*x**9))-(10233*x**8)-(3482*x**7))+(66494*x**6))-(125152*x**5))+(35457*x**4)+(265655*x**3)+(93655*x**2)+(6584*x)+57))/(x-1)**13))] }
-
-
-
-def A178410():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((8*x**13)-(112*x**12))+(870*x**11))-(2812*x**10))+(15019*x**9)+(41114*x**8)+(494109*x**7)+(2357839*x**6)+(5805509*x**5)+(5762254*x**4)+(2079065*x**3)+(219995*x**2)+(4356*x)+2))/(x-1)**9))] }
-
-
-
-def A178419():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((36*x**13)+(28*x**12)+(32*x**11)+(21*x**10)+(17*x**9)+(14*x**8)+(13*x**7)+(12*x**6)+(5*x**5)+(2*x**4))-x**3-(3*x**2)-(2*x)-1))/((x-1)*((4*x**3)-1))))] }
-
-
-
-def A178420():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1+x)*(1-(2*x))*(1-x)**2))] }
-
-
-
-def A178441():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-(2*x)-(3*x**2))+(3*x**3)+(3*x**4))-(3*x**5)-x**6)+x**7))] }
-
-
-
-def A178452():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-(2*x))*(1+x**2)*(1-x)**2))] }
-
-
-
-def A178455():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/(((2*x)-1)*(1+x+x**2)*(x-1)**2)))] }
-
-
-
-def A178457():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(x**6+x**3+x**2+1))/((x-1)**2*((2*x)-1)*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A178459():
- x = SR.var('x')
- return { 'ogf': [(-(x**5/((x-1)**2*((2*x)-1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A178460():
- x = SR.var('x')
- return { 'ogf': [(-(x**7/(((2*x)-1)*(x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A178499():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*(((((((((((((200*x**18)-(1540*x**17))+(2602*x**16)+(15442*x**15))-(98586*x**14))+(256698*x**13))-(336146*x**12))+(70977*x**11)+(587107*x**10))-(1302115*x**9))+(1569905*x**8))-(1100786*x**7))+(367130*x**6))-(212358*x**5))+(247682*x**4)+(212463*x**3)+(48293*x**2)+(5587*x)+85))/(x-1)**13))] }
-
-
-
-def A178508():
- x = SR.var('x')
- return { 'ogf': [((x*((10*x**2)+(13*x**3)+(31*x**4)+(49*x**5)+(60*x**6)+(27*x**7)+1+(7*x)))/(1-(10*x**6)))] }
-
-
-
-def A178510():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(121*x))+(2100*x**2)))] }
-
-
-
-def A178513():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(80*x))*(1-x)))] }
-
-
-
-def A178521():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+3))/((x**2+x)-1)**2)] }
-
-
-
-def A178523():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-x)*(1-x-x**2)**2))] }
-
-
-
-def A178525():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3-x)+x**2))/((1-x)*(1-x-x**2)**2))] }
-
-
-
-def A178543():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((3*x)-1)*(x**2+1))))] }
-
-
-
-def A178577():
- x = SR.var('x')
- return { 'ogf': [((((-x**3)-(2*x**2))+x)/((x-1)*(x+1)*((5*x)-1)*((x**2-x)+1)))] }
-
-
-
-def A178578():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-x**2-sqrt((((x**4+(2*x**3)+(7*x**2))-(6*x))+1)))/(2*x**3))] }
-
-
-
-def A178671():
- x = SR.var('x')
- return { 'ogf': [((4*((-1)+(6*x)))/(((5*x)-1)*(x-1)))] }
-
-
-
-def A178672():
- x = SR.var('x')
- return { 'ogf': [((30*x**2)/(((6*x)-1)*(x-1)))] }
-
-
-
-def A178674():
- x = SR.var('x')
- return { 'ogf': [((4-(10*x))/(((3*x)-1)*(x-1)))] }
-
-
-
-def A178675():
- x = SR.var('x')
- return { 'ogf': [((5-(17*x))/(((4*x)-1)*(x-1)))] }
-
-
-
-def A178676():
- x = SR.var('x')
- return { 'ogf': [((6-(26*x))/(((5*x)-1)*(x-1)))] }
-
-
-
-def A178681():
- x = SR.var('x')
- return { 'ogf': [((7-(37*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A178690():
- x = SR.var('x')
- return { 'ogf': [(-((12*x**3*(((20*x**2)-(18*x))+3))/((x-1)*((2*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A178703():
- x = SR.var('x')
- return { 'ogf': [(x**2/((x-1)*((3*x)-1)*((x**2-x)+1)))] }
-
-
-
-def A178704():
- x = SR.var('x')
- return { 'ogf': [((((-(2*x**4))+x**3)-x**2)/(((3*x)-1)*(x+1)*((x**2-x)+1)*(x-1)**2))] }
-
-
-
-def A178706():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x))/(((3*x)-1)*(x**2+1)*(x-1)**2)))] }
-
-
-
-def A178710():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(2+x))/(((4*x)-1)*(1+x+x**2)*(x-1)**2)))] }
-
-
-
-def A178711():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((2*x**2)-x)+3))/((x-1)**2*(x+1)*((5*x)-1)*((x**2-x)+1))))] }
-
-
-
-def A178719():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((1+x)*((6*x)-1)*(x-1)**2)))] }
-
-
-
-def A178730():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((x+1)*((7*x)-1)*(x-1)**2)))] }
-
-
-
-def A178742():
- x = SR.var('x')
- return { 'ogf': [(-(x**4/(((2*x)-1)*(1+x)*((x**2-x)+1)*(x-1)**2)))] }
-
-
-
-def A178744():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+(3*x)))/(((4*x)-1)*(1+x+x**2)*(x-1)**2)))] }
-
-
-
-def A178750():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(2+x+x**2))/(((5*x)-1)*(1+x)*((x**2-x)+1)*(x-1)**2)))] }
-
-
-
-def A178759():
- x = SR.var('x')
- return { 'ogf': [((6*x**3*(((11*x**2)-(12*x))+3))/((x-1)**2*((2*x)-1)**2*((3*x)-1)**2))] }
-
-
-
-def A178765():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(17*x)-x**2))] }
-
-
-
-def A178766():
- x = SR.var('x')
- return { 'ogf': [(((x**5+x**4)-(2*x**2)-x)/(((-x**4)+(3*x**2))-1))] }
-
-
-
-def A178767():
- x = SR.var('x')
- return { 'ogf': [((((2*x**14)+(3*x**12)+x**11+(4*x**10)+(7*x**9)+(5*x**7))-(7*x**6)-(5*x**5)-(4*x**4)-(3*x**3)-(2*x**2)-x)/(((-x**12)+(18*x**6))-1))] }
-
-
-
-def A178769():
- x = SR.var('x')
- return { 'ogf': [((2-(15*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A178778():
- x = SR.var('x')
- return { 'ogf': [((((6*x**3)-(4*x**2)-(2*x))+1)/((x-1)**2*((3*x)-1)*((3*x**2)-1)))] }
-
-
-
-def A178789():
- x = SR.var('x')
- return { 'ogf': [((3-(9*x))/((1-(5*x))+(4*x**2)))] }
-
-
-
-def A178804():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**3))/((1+x**2)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A178826():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(5+(3*x)))/(((7*x)-1)*(1+x+x**2)*(x-1)**2)))] }
-
-
-
-def A178827():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((x+1)*((8*x)-1)*(x-1)**2)))] }
-
-
-
-def A178828():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/(((3*x)-1)*(x**2+1)*(x-1)**2)))] }
-
-
-
-def A178829():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x))/((1-(7*x))*(1+x**2)*(1-x)**2))] }
-
-
-
-def A178869():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((-(10*x**2))+(9*x))-1)))] }
-
-
-
-def A178872():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((4*x)-1)*(x**2+x+1))))] }
-
-
-
-def A178873():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**2)-x)/((x-1)*((5*x)-1)*((x**2-x)+1))))] }
-
-
-
-def A178874():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)-x)/((x+1)*((5*x)-1)*(x-1)**2))] }
-
-
-
-def A178875():
- x = SR.var('x')
- return { 'ogf': [((x**3-(2*x**2))/(((4*x)-1)*(x**2+x+1)*(x-1)**2))] }
-
-
-
-def A178885():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((((256*x**11)-(512*x**10))+(384*x**9))-(192*x**8))+(64*x**7))-1))/((x-1)*((((4*x**3)-(4*x**2))+(2*x))-1))))] }
-
-
-
-def A178906():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(111*x))+(100*x**2)))] }
-
-
-
-def A178915():
- x = SR.var('x')
- return { 'ogf': [((3-(3*x**3))+(1/(x-1)**2))] }
-
-
-
-def A178934():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(4*x**2))-(6*x**3)-(2*x**4))+x**5)/((1-(3*x))*(1-(4*x))*(1-x**4)))] }
-
-
-
-def A178935():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x-(3*x**2))+(4*x**3))-(7*x**4)))/(((((1-(7*x))+(12*x**2))-x**4)+(7*x**5))-(12*x**6)))] }
-
-
-
-def A178936():
- x = SR.var('x')
- return { 'ogf': [((((((1-(3*x))+(2*x**2))-(3*x**3))+(2*x**4))-x**5)/(((((1-(5*x))+(6*x**2))-x**4)+(5*x**5))-(6*x**6)))] }
-
-
-
-def A178946():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)+x**4+x**3))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A178967():
- x = SR.var('x')
- return { 'ogf': [((2*x**7*(((((-124)-(3784*x)-(44667*x**2)-(310723*x**3)-(1509124*x**4)-(5621180*x**5)-(16954312*x**6)-(42976662*x**7)-(93896850*x**8)-(180088868*x**9)-(307206501*x**10)-(470650261*x**11)-(652017897*x**12)-(820670989*x**13)-(941074901*x**14)-(984212615*x**15)-(938015444*x**16)-(812413066*x**17)-(635893628*x**18)-(445615046*x**19)-(275100707*x**20)-(145295581*x**21)-(61597137*x**22)-(17181649*x**23))+(704005*x**24)+(4589289*x**25)+(3324134*x**26)+(1424132*x**27)+(316332*x**28))-(58210*x**29)-(91844*x**30)-(47684*x**31)-(15863*x**32)-(3119*x**33))+(490*x**34)+(982*x**35)+(632*x**36)+(260*x**37)+(126*x**38)+(54*x**39)))/(((-1)+x)**11*(1+x)**6*(1+x**2)**2*(1+x+x**2)**4*(1+x+x**2+x**3+x**4)**2))] }
-
-
-
-def A178972():
- x = SR.var('x')
- return { 'ogf': [((4*x**6*((((8*x**6)-(7*x**5)-(30*x**4))+(23*x**3)+(44*x**2))-(26*x)-36))/((x-1)**5*(x+1)**3))] }
-
-
-
-def A178973():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**7*(((((36*x**11)-(47*x**10)-(178*x**9))+(228*x**8)+(354*x**7))-(419*x**6)-(356*x**5))+(297*x**4)+(182*x**3)+(178*x**2)+(538*x)+147))/((x-1)**7*(x+1)**5)))] }
-
-
-
-def A178974():
- x = SR.var('x')
- return { 'ogf': [((2*x**7*((((((162*x**30)-(350*x**29)-(1488*x**28)-(718*x**27))+(2389*x**26)+(6635*x**25)+(6157*x**24))-(3372*x**23)-(15873*x**22)-(22215*x**21)-(8561*x**20))+(23622*x**19)+(55919*x**18)+(38469*x**17))-(91949*x**16)-(461696*x**15)-(1076702*x**14)-(1978832*x**13)-(2858196*x**12)-(3576618*x**11)-(3727323*x**10)-(3419559*x**9)-(2634463*x**8)-(1782420*x**7)-(988307*x**6)-(472291*x**5)-(171451*x**4)-(53262*x**3)-(10265*x**2)-(1713*x)-49))/((x-1)**9*(x+1)**7*(x**2+1)**3*(x**2+x+1)**3))] }
-
-
-
-def A178975():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**8*((((((1176*x**64)+(5556*x**63)+(15132*x**62)+(28428*x**61)+(39340*x**60)+(30066*x**59))-(16046*x**58)-(97562*x**57)-(191158*x**56)-(227584*x**55)-(150082*x**54))+(56017*x**53)+(289119*x**52)+(339896*x**51)+(45336*x**50))-(611255*x**49)-(1380704*x**48)-(2278261*x**47)-(3764650*x**46)-(7542849*x**45)-(7704482*x**44))+(18495516*x**43)+(165924351*x**42)+(637466559*x**41)+(1903273538*x**40)+(4.724140916E9*x**39)+(1.0422040024E10*x**38)+(2.0690172375E10*x**37)+(3.7875420877E10*x**36)+(6.423879648E10*x**35)+(1.0219097807E11*x**34)+(1.52823563437E11*x**33)+(2.16401077492E11*x**32)+(2.90462738417E11*x**31)+(3.71272897408E11*x**30)+(4.52086367452E11*x**29)+(5.26060962825E11*x**28)+(5.84865148004E11*x**27)+(6.22627590675E11*x**26)+(6.3425989755E11*x**25)+(6.19201117902E11*x**24)+(5.78669435625E11*x**23)+(5.18210895306E11*x**22)+(4.43951015905E11*x**21)+(3.64069798686E11*x**20)+(2.851274626E11*x**19)+(2.13313173667E11*x**18)+(1.51952471981E11*x**17)+(1.0306204786E11*x**16)+(6.625157916E10*x**15)+(4.0354587182E10*x**14)+(2.3135311545E10*x**13)+(1.2479773177E10*x**12)+(6.269223018E9*x**11)+(2.933204824E9*x**10)+(1256492269*x**9)+(493760966*x**8)+(172473531*x**7)+(54013568*x**6)+(14176791*x**5)+(3222186*x**4)+(525572*x**3)+(74355*x**2)+(4605*x)+320))/((x-1)**11*(x+1)**9*(x**2+1)**5*((x**2-x)+1)**3*(x**2+x+1)**5*(x**4+x**3+x**2+x+1)**3)))] }
-
-
-
-def A178977():
- x = SR.var('x')
- return { 'ogf': [((((-5)-(5*x))+x**2)/(x-1)**3)] }
-
-
-
-def A178982():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/((x**2+x+1)*((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A178987():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(4*x)))/((2*x)-1)**3))] }
-
-
-
-def A179001():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(1+x**4+x**3))/((1+x)*(x**2+1)*((x**2+x)-1)*(x**4+1)*(x-1)**2)))] }
-
-
-
-def A179006():
- x = SR.var('x')
- return { 'ogf': [(-(x**5/((x**2+x+1)*((x**2-x)+1)*((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A179018():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+x**2)-1))/((x**2+x+1)*((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A179023():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(2*x**3)))/((x-1)**2*((x**2+x)-1)**2)))] }
-
-
-
-def A179041():
- x = SR.var('x')
- return { 'ogf': [(((x**9+x**8+x**4+x**3)-x)/((x+1)*(x**2+1)*((x**2+x)-1)*(x-1)**2*(x**4+1)))] }
-
-
-
-def A179042():
- x = SR.var('x')
- return { 'ogf': [(((x**7+x**6+x**4+x**3)-x)/((x+1)*(x**2+x+1)*((x**2-x)+1)*((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A179053():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+x**2+x**3+x**4+x**5+x**7+x**9+x**10))/((1+x)*((x**2+x)-1)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A179058():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**3*(x+1)*(x**2+(8*x)+1))/(x-1)**7))] }
-
-
-
-def A179059():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**4*(x**4+(16*x**3)+(36*x**2)+(16*x)+1))/(x-1)**9))] }
-
-
-
-def A179060():
- x = SR.var('x')
- return { 'ogf': [(-((120*x**5*(x+1)*(x**4+(24*x**3)+(76*x**2)+(24*x)+1))/(x-1)**11))] }
-
-
-
-def A179061():
- x = SR.var('x')
- return { 'ogf': [(-((720*x**6*(x**6+(36*x**5)+(225*x**4)+(400*x**3)+(225*x**2)+(36*x)+1))/(x-1)**13))] }
-
-
-
-def A179062():
- x = SR.var('x')
- return { 'ogf': [(-((5040*x**7*(x+1)*(x**6+(48*x**5)+(393*x**4)+(832*x**3)+(393*x**2)+(48*x)+1))/(x-1)**15))] }
-
-
-
-def A179063():
- x = SR.var('x')
- return { 'ogf': [(-((40320*x**8*(x**8+(64*x**7)+(784*x**6)+(3136*x**5)+(4900*x**4)+(3136*x**3)+(784*x**2)+(64*x)+1))/(x-1)**17))] }
-
-
-
-def A179064():
- x = SR.var('x')
- return { 'ogf': [(-((362880*x**9*(x+1)*(x**8+(80*x**7)+(1216*x**6)+(5840*x**5)+(10036*x**4)+(5840*x**3)+(1216*x**2)+(80*x)+1))/(x-1)**19))] }
-
-
-
-def A179070():
- x = SR.var('x')
- return { 'ogf': [(x-((x**2*(1+(2*x**2)))/((-1)+x+x**3)))] }
-
-
-
-def A179088():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(6*x)+(26*x**2)+(6*x**3)+(3*x**4)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A179094():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((5+(13*x)+(10*x**2))-(6*x**3))+x**4+x**5))/((1-x)**4*(1+x)**2))] }
-
-
-
-def A179096():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+x**3+(15*x**2)))/(x-1)**6)] }
-
-
-
-def A179097():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(14*x)+(35*x**2)+(7*x**3)))/(1-x)**7)] }
-
-
-
-def A179098():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+(70*x**2)+(28*x**3)+x**4))/(1-x)**8)] }
-
-
-
-def A179099():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(27*x)+(126*x**2)+(84*x**3)+(9*x**4)))/(1-x)**9)] }
-
-
-
-def A179111():
- x = SR.var('x')
- return { 'ogf': [(-(x**6/((1+x)*((x**2+x)-1)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2)))] }
-
-
-
-def A179123():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((4*x**4)-(5*x**3)-(36*x**2))+(5*x)+5))/((x-1)*((x**4-(8*x**2))+1))))] }
-
-
-
-def A179131():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**6)+(5*x**5)+(5*x**4))-(47*x**3)-(25*x**2)-(5*x)-1)/(((x**2-(3*x))+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A179132():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**6)+(6*x**5)+(7*x**4))-(18*x**3)-(14*x**2)-(3*x)-1)/(((x**2-(3*x))+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A179133():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+(4*x**4)+(10*x**3))-(5*x**2)-(4*x)-2)/(((x**2-(3*x))+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A179134():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**5)+(4*x**4)+(5*x**3))-(10*x**2)-(4*x)-1)/(((x**2-(3*x))+1)*(x**4+(3*x**3)+(8*x**2)+(3*x)+1))))] }
-
-
-
-def A179135():
- x = SR.var('x')
- return { 'ogf': [((3-(10*x))/((1-(15*x))+(25*x**2)))] }
-
-
-
-def A179167():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**3-(6*x**2))+(11*x))-3))/((x-1)*((x**2-(4*x))+1)))] }
-
-
-
-def A179190():
- x = SR.var('x')
- return { 'ogf': [(2-(1-(4*x)-(4*x**2))**(1/2))] }
-
-
-
-def A179191():
- x = SR.var('x')
- return { 'ogf': [((1/2)*((-1)+(1-(4*x)-(4*x**2))**(-(1/2))))] }
-
-
-
-def A179237():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(4*x))/((-1)+(6*x)+x**2))] }
-
-
-
-def A179238():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x)+(3*x**2))-x**3)+x**4))/(1-(6*x**3)-x**6))] }
-
-
-
-def A179257():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**5-(4*x**4))+(7*x**3))-(8*x**2))+(4*x))-1))/(x-1)**6))] }
-
-
-
-def A179259():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((-1)-(2*x)-(8*x**2))+(2*x**3)))/(x-1)**4))] }
-
-
-
-def A179272():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x**2))+x**3)/((1+x)*(x-1)**3))] }
-
-
-
-def A179297():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-(2*x)))/(1-x)**4)] }
-
-
-
-def A179298():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)*(x**2+(4*x)+1))/(x-1)**5)] }
-
-
-
-def A179337():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(30*x)+(62*x**2)+(30*x**3)+(5*x**4)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A179338():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(90*x)+(38*x**2)+(90*x**3)+(1*x**4)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A179339():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(210*x)+(218*x**2)+(210*x**3)+(11*x**4)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A179344():
- x = SR.var('x')
- return { 'ogf': [(-(((((-1)+x**2+(2*x**3)+(4*x**4)+(7*x**5)+(12*x**6)+(17*x**7)+(6*x**8)+(28*x**9))-(4*x**10)-(4*x**11)-(2*x**12)-(6*x**13)-(4*x**15)-(8*x**16)-(2*x**17)-(10*x**18))+x**20+x**22+x**25+x**27)/((((1-x-(2*x**2)-(4*x**3)-(8*x**4)-(15*x**5)-(29*x**6)-(54*x**7)-(92*x**8)-(120*x**9))+(11*x**10)+(19*x**11)+(28*x**12)+(28*x**13)+(11*x**15)+(35*x**16)+(68*x**17)+(68*x**18))-(5*x**20)-(11*x**21)-(10*x**22)-(5*x**25)-(15*x**26)-(14*x**27))+x**30+x**31+x**35+x**36)))] }
-
-
-
-def A179349():
- x = SR.var('x')
- return { 'ogf': [(-(((((1-x**2-(2*x**3)-(4*x**4)-(8*x**5)-(14*x**6)-(24*x**7)-(34*x**8)-(12*x**9)-(56*x**10))+(11*x**11)+(16*x**12)+(19*x**13)+(12*x**14)+(28*x**15)+(8*x**17)+(16*x**18)+(4*x**19)+(20*x**20))-(5*x**22)-(8*x**23)-(3*x**24)-(10*x**25)-(2*x**28)-(2*x**30))+x**33+x**35)/((((((-1)+x+(2*x**2)+(4*x**3)+(8*x**4)+(16*x**5)+(30*x**6)+(58*x**7)+(108*x**8)+(184*x**9)+(240*x**10))-(26*x**11)-(48*x**12)-(82*x**13)-(120*x**14)-(120*x**15)-(22*x**17)-(70*x**18)-(136*x**19)-(136*x**20))+(16*x**22)+(46*x**23)+(78*x**24)+(68*x**25)+(10*x**28)+(30*x**29)+(28*x**30))-(6*x**33)-(16*x**34)-(14*x**35)-(2*x**39)-(2*x**40))+x**44+x**45)))] }
-
-
-
-def A179355():
- x = SR.var('x')
- return { 'ogf': [(-(((((1-x**2-(2*x**3)-(4*x**4)-(8*x**5)-(15*x**6)-(28*x**7)-(49*x**8)-(70*x**9)-(28*x**10)-(120*x**11))+(11*x**12)+(16*x**13)+(19*x**14)+(12*x**15)+(28*x**16)+(11*x**18)+(32*x**19)+(51*x**20)+(20*x**21)+(68*x**22))-(5*x**24)-(8*x**25)-(3*x**26)-(10*x**27)-(5*x**30)-(12*x**31)-(3*x**32)-(14*x**33))+x**36+x**38+x**42+x**44)/((((((-1)+x+(2*x**2)+(4*x**3)+(8*x**4)+(16*x**5)+(31*x**6)+(61*x**7)+(118*x**8)+(220*x**9)+(376*x**10)+(496*x**11))-(26*x**12)-(48*x**13)-(82*x**14)-(120*x**15)-(120*x**16)-(26*x**18)-(92*x**19)-(222*x**20)-(392*x**21)-(392*x**22))+(16*x**24)+(46*x**25)+(78*x**26)+(68*x**27)+(16*x**30)+(66*x**31)+(138*x**32)+(124*x**33))-(6*x**36)-(16*x**37)-(14*x**38)-(6*x**42)-(20*x**43)-(18*x**44))+x**48+x**49+x**54+x**55)))] }
-
-
-
-def A179362():
- x = SR.var('x')
- return { 'ogf': [(-(((((((-1)+x**2+(2*x**3)+(4*x**4)+(8*x**5)+(16*x**6)+(30*x**7)+(56*x**8)+(98*x**9)+(140*x**10)+(56*x**11)+(240*x**12))-(26*x**13)-(44*x**14)-(68*x**15)-(82*x**16)-(56*x**17)-(120*x**18)-(22*x**20)-(64*x**21)-(102*x**22)-(40*x**23)-(136*x**24))+(16*x**26)+(40*x**27)+(54*x**28)+(30*x**29)+(68*x**30)+(10*x**33)+(24*x**34)+(6*x**35)+(28*x**36))-(6*x**39)-(12*x**40)-(4*x**41)-(14*x**42)-(2*x**46)-(2*x**48))+x**52+x**54)/((((((1-x-(2*x**2)-(4*x**3)-(8*x**4)-(16*x**5)-(32*x**6)-(62*x**7)-(122*x**8)-(236*x**9)-(440*x**10)-(752*x**11)-(992*x**12))+(57*x**13)+(109*x**14)+(200*x**15)+(340*x**16)+(496*x**17)+(496*x**18)+(52*x**20)+(184*x**21)+(444*x**22)+(784*x**23)+(784*x**24))-(42*x**26)-(138*x**27)-(300*x**28)-(460*x**29)-(392*x**30)-(32*x**33)-(132*x**34)-(276*x**35)-(248*x**36))+(22*x**39)+(82*x**40)+(152*x**41)+(124*x**42)+(12*x**46)+(40*x**47)+(36*x**48))-(7*x**52)-(21*x**53)-(18*x**54)-(2*x**59)-(2*x**60))+x**65+x**66)))] }
-
-
-
-def A179370():
- x = SR.var('x')
- return { 'ogf': [((x*(16+(7*x)+(108*x**2)+(7*x**3)+(16*x**4)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A179403():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*(x-2)*(((5*x**2)-(13*x))+14))/(x-1)**5)] }
-
-
-
-def A179404():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**4*(((((12*x**6)-(67*x**5))+(140*x**4))-(112*x**3)-(21*x**2))+(66*x)+12))/(x-1)**7))] }
-
-
-
-def A179424():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((160*x**9)-(963*x**8))+(2054*x**7))-(1308*x**6)-(963*x**5)-(375*x**4))+(5288*x**3))-(5094*x**2)-(467*x)-12))/(x-1)**9)] }
-
-
-
-def A179425():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5*(((((((((260*x**11)-(1932*x**10))+(6567*x**9))-(16223*x**8))+(38507*x**7))-(77869*x**6))+(102208*x**5))-(61576*x**4)-(15301*x**3))+(33059*x**2)+(7415*x)+5))/(x-1)**11))] }
-
-
-
-def A179426():
- x = SR.var('x')
- return { 'ogf': [((4*x**6*((((((((((426*x**13)-(4263*x**12))+(22311*x**11))-(82449*x**10))+(220918*x**9))-(391803*x**8))+(369356*x**7)+(10716*x**6))-(382230*x**5))+(163719*x**4)+(387689*x**3))-(390831*x**2)-(87230*x)-2649))/(x-1)**13)] }
-
-
-
-def A179427():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**6*(((((((((((((1379*x**16)-(18219*x**15))+(124755*x**14))-(553765*x**13))+(1657983*x**12))-(3369984*x**11))+(4870575*x**10))-(6400905*x**9))+(10992208*x**8))-(19069951*x**7))+(21246441*x**6))-(8631071*x**5)-(7797385*x**4))+(8273322*x**3)+(2866693*x**2)+(131389*x)+855))/(x-1)**15))] }
-
-
-
-def A179428():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((((((((((((17728*x**19)-(301964*x**18))+(2573500*x**17))-(13833040*x**16))+(51521058*x**15))-(143708688*x**14))+(325486412*x**13))-(629393865*x**12))+(996601251*x**11))-(1090603627*x**10))+(426710617*x**9)+(807953488*x**8))-(1328885640*x**7))+(262625618*x**6)+(1106513030*x**5))-(875387697*x**4)-(386005021*x**3)-(30462955*x**2)-(338119*x)-486))/(x-1)**17)] }
-
-
-
-def A179436():
- x = SR.var('x')
- return { 'ogf': [((((-7)-(4*x))+(2*x**2))/(x-1)**3)] }
-
-
-
-def A179571():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-31)+(89*x))-(83*x**2))+(26*x**3)))/(((2*x)-1)*(x-1)**3)))] }
-
-
-
-def A179572():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((-146)+(776*x))-(1620*x**2))+(1677*x**3))-(868*x**4))+(180*x**5)))/(((2*x)-1)**2*(x-1)**4)))] }
-
-
-
-def A179573():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((1289-(13187*x))+(58154*x**2))-(144731*x**3))+(222774*x**4))-(217511*x**5))+(131690*x**6))-(45220*x**7))+(6744*x**8)))/(((-1)+(3*x))*((2*x)-1)**3*(x-1)**5)))] }
-
-
-
-def A179579():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-37)+(112*x))-(110*x**2))+(36*x**3)))/(((2*x)-1)*(x-1)**3)))] }
-
-
-
-def A179580():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((-219)+(1218*x))-(2658*x**2))+(2866*x**3))-(1536*x**4))+(328*x**5)))/(((2*x)-1)**2*(x-1)**4)))] }
-
-
-
-def A179581():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((1823-(19427*x))+(89014*x**2))-(229394*x**3))+(364170*x**4))-(365192*x**5))+(226176*x**6))-(79168*x**7))+(12000*x**8)))/(((-1)+(3*x))*((2*x)-1)**3*(x-1)**5)))] }
-
-
-
-def A179582():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((-13831)+(222572*x))-(1606581*x**2))+(6869968*x**3))-(19343578*x**4))+(37665466*x**5))-(51764756*x**6))+(50222224*x**7))-(33717440*x**8))+(14922528*x**9))-(3919680*x**10))+(463104*x**11)))/(((-1)+(3*x))**2*((2*x)-1)**4*(x-1)**6)))] }
-
-
-
-def A179596():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-(11*x**2)-(6*x**3))),
-((1+x)/(1-(2*x)-(11*x**2)-(6*x**3)))] }
-
-
-
-def A179597():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(2*x**2))/(1-(2*x)-(11*x**2)-(6*x**3))),
-((1+(5*x)+(2*x**2))/(1-(2*x)-(11*x**2)-(6*x**3)))] }
-
-
-
-def A179598():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(3*x)-(8*x**2))),
-((1+(2*x))/(1-(3*x)-(8*x**2)))] }
-
-
-
-def A179599():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(3*x)-(8*x**2))),
-((1+(4*x))/(1-(3*x)-(8*x**2)))] }
-
-
-
-def A179600():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-(10*x**2)-(4*x**3))),
-((1+x)/(1-(2*x)-(10*x**2)-(4*x**3)))] }
-
-
-
-def A179601():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(2*x)-(10*x**2)-(4*x**3))),
-(((-1)-(4*x))/(((2*x)+1)*(((2*x**2)+(4*x))-1)))] }
-
-
-
-def A179602():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(3*x)-(7*x**2))),
-((1+(2*x))/(1-(3*x)-(7*x**2)))] }
-
-
-
-def A179603():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(3*x)-(7*x**2))),
-((1+(3*x))/(1-(3*x)-(7*x**2)))] }
-
-
-
-def A179604():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-(9*x**2)-(2*x**3))),
-(((-1)-x)/(((2*x)+1)*((x**2+(4*x))-1)))] }
-
-
-
-def A179605():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-(2*x**2))/(1-(2*x)-(9*x**2)-(2*x**3))),
-((((-1)-(3*x))+(2*x**2))/(((2*x)+1)*((x**2+(4*x))-1)))] }
-
-
-
-def A179606():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(3*x)-(5*x**2))),
-((1+x)/(1-(3*x)-(5*x**2)))] }
-
-
-
-def A179607():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(4*x**2))/(1-(2*x)-(8*x**2))),
-(((1+(2*x))-(4*x**2))/(1-(2*x)-(8*x**2)))] }
-
-
-
-def A179608():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(4*x**2)-(2*x))+(8*x**3)))] }
-
-
-
-def A179609():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(12*x**2))/((1-(2*x)-(4*x**2))+(8*x**3)))] }
-
-
-
-def A179610():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x)-(5*x**2))+(4*x**3))),
-(1/((x**2-x-1)*((4*x)-1)))] }
-
-
-
-def A179611():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(2*x)-(8*x**2)-(4*x**3))),
-((1+(2*x))/(1-(2*x)-(8*x**2)-(4*x**3)))] }
-
-
-
-def A179648():
- x = SR.var('x')
- return { 'ogf': [((1/(2*x))*(1-sqrt(((1-(2*x**2))/((1+(4*x))-(2*x**2))))))] }
-
-
-
-def A179682():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((1+(4*x))-x**2))/(1-x)**3)] }
-
-
-
-def A179708():
- x = SR.var('x')
- return { 'ogf': [((256*x**9*((((((31-(788*x))+(8096*x**2))-(43132*x**3))+(126072*x**4))-(192672*x**5))+(120960*x**6)))/((1-(2*x))**5*(1-(4*x))**4*(1-(6*x))**3*(1-(8*x))**2*(1-(10*x))))] }
-
-
-
-def A179709():
- x = SR.var('x')
- return { 'ogf': [(-((512*x**11*(((((((((((2090188800*x**10)-(5.07534336E9*x**9))+(5.480510976E9*x**8))-(3.456747648E9*x**7))+(1407037152*x**6))-(385459712*x**5))+(71872912*x**4))-(8997896*x**3))+(723346*x**2))-(33704*x))+691))/(((12*x)-1)*((10*x)-1)**2*((8*x)-1)**3*((6*x)-1)**4*((4*x)-1)**5*((2*x)-1)**6)))] }
-
-
-
-def A179710():
- x = SR.var('x')
- return { 'ogf': [(-((2048*x**13*((((((((((((((((2.64868724736E14*x**15)-(8.918393683968E14*x**14))+(1.38728967929856E15*x**13))-(1.320505755697152E15*x**12))+(8.59006229078016E14*x**11))-(4.04049277108224E14*x**10))+(1.41829511625984E14*x**9))-(3.7804275799552E13*x**8))+(7.710418349056E12*x**7))-(1.202843456128E12*x**6))+(1.42319143104E11*x**5))-(1.2540195936E10*x**4))+(796479552*x**3))-(34424192*x**2))+(905327*x))-10922))/(((14*x)-1)*((12*x)-1)**2*((10*x)-1)**3*((8*x)-1)**4*((6*x)-1)**5*((4*x)-1)**6*((2*x)-1)**7)))] }
-
-
-
-def A179741():
- x = SR.var('x')
- return { 'ogf': [(-((1-(18*x)-(7*x**2))/(1-x)**3))] }
-
-
-
-def A179744():
- x = SR.var('x')
- return { 'ogf': [(1-((x*((2-(4*x))+(3*x**2)))/(((2*x)-1)*(x-1)**2)))] }
-
-
-
-def A179783():
- x = SR.var('x')
- return { 'ogf': [((((1+(10*x**2))-(4*x**3))+x**4)/((1+x)*(1-x)**4))] }
-
-
-
-def A179805():
- x = SR.var('x')
- return { 'ogf': [((((2*x)+1)*(((3*x**2)-x)+1))/(x-1)**2)] }
-
-
-
-def A179808():
- x = SR.var('x')
- return { 'ogf': [(-(((((-x)-(2*x**2)-(2*x**3))+(4*x**4))*x**3)/((((1-(2*x))+x**2)-(2*x**3)-(2*x**4))+(4*x**5))))] }
-
-
-
-def A179809():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(((((((((((((((1+(21*x**2)+(168*x**4)+(194*x**6))-(1199*x**8)-(4271*x**10))+(5670*x**12)+(4584*x**14)+(33296*x**16))-(65600*x**18))+(62592*x**20))-(246656*x**22))+(485376*x**24))-(470272*x**26))+(946688*x**28))-(806912*x**30))+(679936*x**32))-(1900544*x**34))+(393216*x**36))-(1048576*x**38))+(2097152*x**40)))/((x-1)*(1+x)*((2*x**2)-1)*((2*x**2)+x+1)*(((2*x**2)-x)+1)*((2*x**3)+x+1)*(((2*x**3)+x)-1)*((4*x**3)+(2*x**2)+1)*((4*x**3)-(2*x**2)-1)*(((4*x**3)-(4*x**2))+x+1)*(((4*x**3)+(4*x**2)+x)-1)*(((((128*x**12)-(64*x**10))+(40*x**8))-(28*x**6))+(14*x**4)+x**2+1)*((2*x**4)+x**2+1))))] }
-
-
-
-def A179819():
- x = SR.var('x')
- return { 'ogf': [((5*x*(2+(2*x)+x**2))/((1+x+x**2)*(x-1)**2))] }
-
-
-
-def A179820():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(3*x))+x**2+(2*x**3)))/((x-1)**2*(1+x)**2)))] }
-
-
-
-def A179824():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+(7*x)+(4*x**2)))/(1-x)**5)] }
-
-
-
-def A179850():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**3))/(1-x**5))] }
-
-
-
-def A179894():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+1)*(x**3+x**2+1))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A179903():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*(((x**3-(4*x**2))+(2*x))-1))/(x-1)**4))] }
-
-
-
-def A179904():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(((1-(2*x))+(3*x**2))-x**3))/(1-x)**4)] }
-
-
-
-def A179905():
- x = SR.var('x')
- return { 'ogf': [(1-((x*(x-4)*(((3*x**2)-x)+1))/(x-1)**4))] }
-
-
-
-def A179934():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((4+(5*x))-(13*x**2)-x**3)+x**4))/((x-1)*((x**4-(10*x**2))+1))))] }
-
-
-
-def A179980():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((10*x)-1)*(1+x)**2)))] }
-
-
-
-def A179986():
- x = SR.var('x')
- return { 'ogf': [((x*(6+x))/(1-x)**3)] }
-
-
-
-def A179991():
- x = SR.var('x')
- return { 'ogf': [((x*(x-2)*((x**2-x)+1))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A179992():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**4-(4*x**3))+(6*x**2))-(3*x))+2))/((1-x-x**2)*(1-x)**3))] }
-
-
-
-def A179994():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+x**2))/((1-(11*x**2))+(8*x**4)))] }
-
-
-
-def A179995():
- x = SR.var('x')
- return { 'ogf': [((1+(27*x)+(93*x**2)+(118*x**3)+(93*x**4)+(27*x**5)+x**6)/(1-x)**6)] }
-
-
-
-def A180002():
- x = SR.var('x')
- return { 'ogf': [((((4+(4*x)+(16*x**2))-(133*x**3)-(16*x**4)-(4*x**5))+(3*x**6))/((1-x)*((1-(38*x**3))+x**6)))] }
-
-
-
-def A180003():
- x = SR.var('x')
- return { 'ogf': [((((1+x+(5*x**2))-(32*x**3))+(5*x**4)+x**5+x**6)/((1-x)*((1-(38*x**3))+x**6)))] }
-
-
-
-def A180028():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(6*x)-(3*x**2))),
-((1+(3*x))/(1-(6*x)-(3*x**2)))] }
-
-
-
-def A180029():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(6*x)-(2*x**2))),
-((1+(2*x))/(1-(6*x)-(2*x**2)))] }
-
-
-
-def A180030():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(5*x)-(8*x**2)))] }
-
-
-
-def A180031():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(1-(5*x)-(8*x**2)))] }
-
-
-
-def A180032():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(5*x)-(7*x**2))),
-((1+x)/(1-(5*x)-(7*x**2)))] }
-
-
-
-def A180033():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(5*x)-(5*x**2))),
-((1+x)/(1-(5*x)-(5*x**2)))] }
-
-
-
-def A180034():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(6*x))+(2*x**2))),
-((1-(2*x))/((1-(6*x))+(2*x**2)))] }
-
-
-
-def A180035():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(5*x)-(3*x**2))),
-((1+x)/(1-(5*x)-(3*x**2)))] }
-
-
-
-def A180036():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-(5*x)-(3*x**2))),
-((1-(2*x))/(1-(5*x)-(3*x**2)))] }
-
-
-
-def A180037():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(5*x)-(2*x**2))),
-((1+x)/(1-(5*x)-(2*x**2)))] }
-
-
-
-def A180038():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(5*x)-(2*x**2))),
-((1-(3*x))/(1-(5*x)-(2*x**2)))] }
-
-
-
-def A180046():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((2*x**2)+1))/((((-1)+x)-x**2)+x**3+x**4)))] }
-
-
-
-def A180053():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(900*x)))/(1-(1001*x)))] }
-
-
-
-def A180067():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*(((((((((((((((((56520*x**22)-(1215064*x**21))+(12642984*x**20))-(82438064*x**19))+(378510176*x**18))-(1315100032*x**17))+(3.593010018E9*x**16))-(7.742517098E9*x**15))+(1.2798616135E10*x**14))-(1.5614945085E10*x**13))+(1.4742135008E10*x**12))-(1.7197088896E10*x**11))+(3.3440162097E10*x**10))-(5.5183782403E10*x**9))+(5.0601858342E10*x**8))-(7.24904245E9*x**7)-(3.2800069391E10*x**6))+(2.3010354469E10*x**5)+(1.4572795412E10*x**4)+(1637985772*x**3)+(41216559*x**2)+(80563*x)+28))/(x-1)**19))] }
-
-
-
-def A180140():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/(1-(3*x)-(5*x**2))),
-((1+x+x**2)/(1-(3*x)-(5*x**2)))] }
-
-
-
-def A180141():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(2*x**2))/(1-(3*x)-(6*x**2))),
-(((1+x)-(2*x**2))/(1-(3*x)-(6*x**2)))] }
-
-
-
-def A180142():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/(1-(3*x)-(3*x**2))),
-(((1+x)-x**2)/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A180143():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-(4*x))+x**2+(2*x**3))),
-((1+x**2)/((1-(4*x))+x**2+(2*x**3)))] }
-
-
-
-def A180144():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((1-(4*x))+x**2+(2*x**3))),
-((1-(2*x**2))/((1-(4*x))+x**2+(2*x**3)))] }
-
-
-
-def A180145():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x**2))/((1-(4*x)-(3*x**2))+(6*x**3))),
-((1-(3*x**2))/((1-(4*x)-(3*x**2))+(6*x**3)))] }
-
-
-
-def A180146():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x)-(3*x**2))+(6*x**3))),
-(1/((1-(4*x)-(3*x**2))+(6*x**3)))] }
-
-
-
-def A180147():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-(4*x)-(3*x**2))+(6*x**3))),
-((1+(3*x))/((1-(4*x)-(3*x**2))+(6*x**3)))] }
-
-
-
-def A180148():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(1-(3*x)-x**2))] }
-
-
-
-def A180167():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(6*x)-(6*x**2)))] }
-
-
-
-def A180168():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(2*x)-(5*x**2)))] }
-
-
-
-def A180222():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(4*x)-(8*x**2)))] }
-
-
-
-def A180223():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(9*x)))/(1-x)**3)] }
-
-
-
-def A180226():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(4*x)-(10*x**2)))] }
-
-
-
-def A180232():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(15*x)))/(1-x)**3)] }
-
-
-
-def A180250():
- x = SR.var('x')
- return { 'ogf': [(x**2/(1-(5*x)-(10*x**2)))] }
-
-
-
-def A180274():
- x = SR.var('x')
- return { 'ogf': [(((70+(106*x)+(158*x**2)+(182*x**3)+(274*x**4)+(430*x**5))-(50*x**6)-(38*x**7)-(34*x**8)-(34*x**9)-(38*x**10)-(50*x**11))/((1-(10*x**6))+x**12))] }
-
-
-
-def A180291():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1+(3*x))-(3*x**2))+x**3))/(1-x)**3)] }
-
-
-
-def A180319():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((2+(7*x))-x**2))/(1-x)**3)] }
-
-
-
-def A180324():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x)*(1+(3*x)))/(1-x)**5)] }
-
-
-
-def A180343():
- x = SR.var('x')
- return { 'ogf': [(((-4)+(6*x)+x**2+(2*x**3)+(9*x**4))/((x-1)*((2*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A180355():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+x+(16*x**2)+x**3+x**4))/(x-1)**6)] }
-
-
-
-def A180356():
- x = SR.var('x')
- return { 'ogf': [((x*(((-7)-(27*x)-(362*x**2)-(242*x**3)-(87*x**4))+(5*x**5)))/(x-1)**7)] }
-
-
-
-def A180358():
- x = SR.var('x')
- return { 'ogf': [((x*(((-9)-(191*x)-(4461*x**2)-(15339*x**3)-(15899*x**4)-(4125*x**5)-(303*x**6))+(7*x**7)))/(x-1)**9)] }
-
-
-
-def A180359():
- x = SR.var('x')
- return { 'ogf': [((10*x*(1+(43*x)+(1486*x**2)+(8773*x**3)+(15682*x**4)+(8773*x**5)+(1486*x**6)+(43*x**7)+x**8))/(x-1)**10)] }
-
-
-
-def A180399():
- x = SR.var('x')
- return { 'ogf': [((1/3)*(1-(1-(9*x)-(9*x**2))**(1/3)))] }
-
-
-
-def A180400():
- x = SR.var('x')
- return { 'ogf': [(1-(9*x)-(9*x**2))**(-(1/3))] }
-
-
-
-def A180413():
- x = SR.var('x')
- return { 'ogf': [((144*x**2)/(1-x)**4)] }
-
-
-
-def A180415():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-x)+1))/(x-1)**4)] }
-
-
-
-def A180483():
- x = SR.var('x')
- return { 'ogf': [(((((-3)-(3*x))+(25*x**2)+(3*x**3))-(2*x**4))/((x-1)*((x**4-(10*x**2))+1)))] }
-
-
-
-def A180488():
- x = SR.var('x')
- return { 'ogf': [(x**2/((x-1)*(((x**4-(2*x**3))+(2*x**2)+(2*x))-1)))] }
-
-
-
-def A180509():
- x = SR.var('x')
- return { 'ogf': [(((((-6)-(6*x)-(14*x**2)-(78*x**3))+(605*x**4)+(78*x**5)+(14*x**6)+(6*x**7))-(5*x**8))/((x-1)*((x**8-(110*x**4))+1)))] }
-
-
-
-def A180510():
- x = SR.var('x')
- return { 'ogf': [((x**5+(2*x**4)+x**3+(2*x**2)+x)/(((x**6+x**5)-(2*x**4)-(5*x**3)-(2*x**2))+x+1))] }
-
-
-
-def A180516():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+x+1))/((x-1)*((4*x**3)-1)))] }
-
-
-
-def A180567():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((((x**7-(2*x**6)-(6*x**5))+(6*x**4)+(6*x**3))-(8*x**2))+(3*x))-2))/((x+1)**2*((x**2-(3*x))+1)**2*((x**2+x)-1)**2)))] }
-
-
-
-def A180569():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(9*x))-(4*x**2)))/(1-x)**4)] }
-
-
-
-def A180571():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((58-(96*x))+(63*x**2))-(16*x**3)))/(1-x)**4)] }
-
-
-
-def A180574():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((5*x**2)-(2*x)-9)*(((2*x**3)-(3*x**2))+3))/((x-1)**4*(x+1)**2)))] }
-
-
-
-def A180576():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((27*x**5)-(50*x**4)-(35*x**3))+(110*x**2))-(10*x)-69))/((x-1)**4*(x+1)**2)))] }
-
-
-
-def A180577():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*((7*x)+3))/(x-1)**3))] }
-
-
-
-def A180578():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*((7*x)+3))/(x-1)**3))] }
-
-
-
-def A180579():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((11*x)+5))/(x-1)**3))] }
-
-
-
-def A180582():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(((((6*x**6)-(14*x**5)-(2*x**4)-(24*x**3))+(16*x**2))-(2*x))+1))/((((12*x**7)+(32*x**6)+(36*x**5)+(28*x**4))-(10*x**3)-(9*x))+1))] }
-
-
-
-def A180583():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((16*x**12)-(16*x**11))+(8*x**10))-(192*x**9))+(588*x**8)+(1996*x**7)+(700*x**6))-(474*x**5)-(400*x**4)-(42*x**3))+(24*x**2))-(5*x))+1))/(((((16*x**12)-(128*x**11)-(496*x**10)-(2040*x**9)-(3724*x**8)-(2064*x**7))+(196*x**6)+(772*x**5)+(440*x**4)+(112*x**3))-(18*x**2)-(12*x))+1))] }
-
-
-
-def A180593():
- x = SR.var('x')
- return { 'ogf': [((-(3*(1+(2*x)+(3*x**2))))/((-1)+x**3))] }
-
-
-
-def A180594():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**8)+(5*x**7)+x**6+(6*x**5)+(2*x**4)+(7*x**3)+(3*x**2)+(8*x)+4))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A180595():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**8)+(4*x**7)+(8*x**6)+(3*x**5)+(7*x**4)+(2*x**3)+(6*x**2)+x+5))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A180598():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**8)+x**7+(2*x**6)+(3*x**5)+(4*x**4)+(5*x**3)+(6*x**2)+(7*x)+8))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A180599():
- x = SR.var('x')
- return { 'ogf': [((9*x)/(1-x))] }
-
-
-
-def A180664():
- x = SR.var('x')
- return { 'ogf': [((((2*x)+(2*x**2))-x**3)/((1-(3*x)-x**4)+(3*x**3)))] }
-
-
-
-def A180665():
- x = SR.var('x')
- return { 'ogf': [((-x)/((x-1)*(x+1)**2*((x**2-(3*x))+1)))] }
-
-
-
-def A180666():
- x = SR.var('x')
- return { 'ogf': [((-x)/(((x**2-(3*x))+1)*(x-1)*(x+1)**2*(x**2+1)))] }
-
-
-
-def A180667():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((41+(1408*x)+(1425*x**2))-(218*x**3))+(44*x**4)))/(x-1)**5))] }
-
-
-
-def A180668():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)**2)/((1-x)**2*(1-x-x**2-x**3)))] }
-
-
-
-def A180669():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)**3)/((1-x)**3*(1-x-x**2-x**3)))] }
-
-
-
-def A180670():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)**4)/((1-x)**4*(1-x-x**2-x**3)))] }
-
-
-
-def A180671():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(3*x)))/((1-x)*(1-x-x**2)))] }
-
-
-
-def A180675():
- x = SR.var('x')
- return { 'ogf': [((1-(10*x)-(7*x**2))/(((1-(11*x))+(3*x**2))-x**3))] }
-
-
-
-def A180676():
- x = SR.var('x')
- return { 'ogf': [((1-(19*x)-(13*x**2)-(17*x**3))/((((1-(20*x))+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A180677():
- x = SR.var('x')
- return { 'ogf': [((((1-(6*x))+(12*x**2))-(8*x**3))/((((1-(9*x))+(24*x**2))-(32*x**3))+(16*x**4)))] }
-
-
-
-def A180678():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(4*x**2))/(((1-(6*x))+(11*x**2))-(8*x**3)))] }
-
-
-
-def A180713():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(2*x)+(5*x**2)+x**3))/((1-x)*(1-x**4)))] }
-
-
-
-def A180762():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+x+(2*x**2)))/((1-(3*x)-x**2)+(2*x**4)))] }
-
-
-
-def A180844():
- x = SR.var('x')
- return { 'ogf': [(x/(((27*x)-1)*((2*x)-1)))] }
-
-
-
-def A180845():
- x = SR.var('x')
- return { 'ogf': [(x/(((16*x)-1)*((3*x)-1)))] }
-
-
-
-def A180846():
- x = SR.var('x')
- return { 'ogf': [(x/(((81*x)-1)*((2*x)-1)))] }
-
-
-
-def A180847():
- x = SR.var('x')
- return { 'ogf': [(x/(((27*x)-1)*((4*x)-1)))] }
-
-
-
-def A180853():
- x = SR.var('x')
- return { 'ogf': [(((-4)-(6*x)-(9*x**2)-(7*x**3)-(5*x**4))/((x-1)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A180857():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((6*x**5)-(11*x**4)-(8*x**3))+(24*x**2))-(2*x)-21))/((x-1)**4*(x+1)**2)))] }
-
-
-
-def A180861():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((8-(14*x**2))+(6*x**3)+(7*x**4))-(4*x**5)))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A180863():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((6*x**2)-(19*x))+21))/(x-1)**3))] }
-
-
-
-def A180919():
- x = SR.var('x')
- return { 'ogf': [(((1+(730*x))-(729*x**2))/(1-x)**3)] }
-
-
-
-def A180920():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(30*x))+1))/((x-1)*((x**2-(62*x))+1))))] }
-
-
-
-def A180921():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((x**2-(1826*x))+1))/(((x**2-(3842*x))+1)*((x**2-(62*x))+1)))] }
-
-
-
-def A180926():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((x-1)*((x**2-(62*x))+1))))] }
-
-
-
-def A180958():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1+x)*(((x**3+(2*x**2))-(3*x))+1)))] }
-
-
-
-def A180964():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(5*x**3))/((1-x)**2*(1+x+x**2)))] }
-
-
-
-def A180965():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x**2))-x**3)/((1-(2*x)-(2*x**3))+x**4))] }
-
-
-
-def A180970():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x)+(8*x**2)+(3*x**3))-(6*x**4)-(3*x**5)-(4*x**6))+(2*x**7)+x**8)/((1-x-(2*x**2)-(2*x**4))+x**5+x**6))] }
-
-
-
-def A181037():
- x = SR.var('x')
- return { 'ogf': [((-1)+(((1-x)*(1+x)*((((-1)+(6*x**2))-x**3-(10*x**4))+x**5+(3*x**6)))/((((((-1)+x+(9*x**2))-(7*x**3)-(24*x**4))+(16*x**5)+(20*x**6))-(11*x**7)-(3*x**8))+x**9)))] }
-
-
-
-def A181099():
- x = SR.var('x')
- return { 'ogf': [((x*(((((3+(3*x))-(5*x**2))+(3*x**3)+(3*x**4))-(5*x**5))+(3*x**6)+(3*x**7)+x**8))/((1+x+x**2)*(x**6+x**3+1)*(x-1)**2))] }
-
-
-
-def A181140():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x**3+x**2+x+1))/(1-(2*x*(x**3+x**2+x+1))))] }
-
-
-
-def A181282():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x)-(3*sqrt((1-(8*x)))))/(8*x))] }
-
-
-
-def A181286():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x))/((1-x)**3*(1-x**3))),
-((x**2*(1+x))/((1+x+x**2)*(1-x)**4))] }
-
-
-
-def A181287():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*(x**2+1))/((x-1)*((5*x**4)-1)))] }
-
-
-
-def A181288():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+x**3+x**2+x+1))/((x-1)*((6*x**5)-1)))] }
-
-
-
-def A181290():
- x = SR.var('x')
- return { 'ogf': [((x*(2-x)*(1-x)**2)/((1-(4*x))+(2*x**2))**2)] }
-
-
-
-def A181294():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x)**3)/((1-(4*x))+(2*x**2))**2)] }
-
-
-
-def A181296():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x)**2)/((1+x)*((1-(4*x))+(2*x**2))**2))] }
-
-
-
-def A181298():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x)**2*((1+x)-x**2))/((1+x)*((1-(4*x))+(2*x**2))**2))] }
-
-
-
-def A181300():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x)**3)/((1+x)*((1-(4*x))+(2*x**2))**2))] }
-
-
-
-def A181301():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x)**2)/((1-(3*x)-x**2)+x**3))] }
-
-
-
-def A181303():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*((x**2-x)+1)*(x**2+x+1))/((x-1)*((7*x**6)-1)))] }
-
-
-
-def A181305():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((1+x)*((1-(4*x))+(2*x**2))**2))] }
-
-
-
-def A181306():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1-x)**2)/((1-(2*x)-(2*x**2))+(2*x**3)))] }
-
-
-
-def A181318():
- x = SR.var('x')
- return { 'ogf': [((-(x*(1+x+(9*x**2)+x**3+(22*x**4)+(6*x**5)+(22*x**6)+x**7+(9*x**8)+x**9+x**10)))/((x-1)**3*(1+x)**3*(x**2+1)**3))] }
-
-
-
-def A181326():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x)**2)/((1+x)*((1-(4*x))+(2*x**2)))**2)] }
-
-
-
-def A181328():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x)**2*(3-x**2))/((1+x)*((1-(4*x))+(2*x**2)))**2)] }
-
-
-
-def A181329():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)**2/((1-(2*x)-(2*x**2))+x**4))] }
-
-
-
-def A181337():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2)*(1-x)**2)/((1+x)*((1-(4*x))+(2*x**2))**2))] }
-
-
-
-def A181342():
- x = SR.var('x')
- return { 'ogf': [((1+(21*x)+(66*x**2)+(46*x**3)+(6*x**4))/(1-x)**5)] }
-
-
-
-def A181343():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(46*x)+(66*x**2)+(21*x**3)+x**4))/(1-x)**5)] }
-
-
-
-def A181367():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1-x)**3)/((1-(2*x))*((1-(4*x))+(2*x**2))))] }
-
-
-
-def A181369():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x)**6)/((1-(4*x))+(2*x**2))**2)] }
-
-
-
-def A181389():
- x = SR.var('x')
- return { 'ogf': [((-(2*((((-1)+x+x**2)-(7*x**3))+(2*x**4))))/((-1)+x)**2)] }
-
-
-
-def A181390():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(9*x**2)))/((-1)+x)**2)] }
-
-
-
-def A181394():
- x = SR.var('x')
- return { 'ogf': [(-((((((((4*x**6)-(4*x**5))+(4*x**4))-(24*x**3))+(4*x**2)+(2*x))-2)*x)/(((((((x**8+(4*x**7))-(2*x**6)-(4*x**5))+(23*x**4))-(28*x**3))+(22*x**2))-(8*x))+1)))] }
-
-
-
-def A181402():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(63*x**2)+(48*x**3)))/(1-x))] }
-
-
-
-def A181404():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(4*x)))/(1-x))] }
-
-
-
-def A181407():
- x = SR.var('x')
- return { 'ogf': [((((-3)+(15*x))-(20*x**2))/((2*x)-1)**3)] }
-
-
-
-def A181427():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((1+(5*x)+(2*x**2)+(14*x**3))-(3*x**4))+(5*x**5)))/(1-x**2)**4)] }
-
-
-
-def A181430():
- x = SR.var('x')
- return { 'ogf': [(((6*x)+(21*x**2)+(20*x**3)+(4*x**4))/((-1)+x)**6)] }
-
-
-
-def A181433():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(14*x**2)+(3*x**3)+x**4))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A181442():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-x)+(8*x**2))-x**3-x**4)/((x-1)*((x**4-(10*x**2))+1)))] }
-
-
-
-def A181443():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-x-(3*x**2)-(17*x**3))+(98*x**4))-(17*x**5)-(3*x**6)-x**7-x**8)/((x-1)*((x**8-(110*x**4))+1)))] }
-
-
-
-def A181475():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(66*x**2)+(2*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A181482():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1+(2*x)+(2*x**3)+x**4)-(3*x**2)))/((1+x+x**2)**2*(x-1)**3)))] }
-
-
-
-def A181509():
- x = SR.var('x')
- return { 'ogf': [((2*x*((22*x**2)+x**4+1))/(1-x)**3)] }
-
-
-
-def A181510():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3-x**2))/(1-x)**3)] }
-
-
-
-def A181532():
- x = SR.var('x')
- return { 'ogf': [(x/(1-x-x**2-x**4))] }
-
-
-
-def A181553():
- x = SR.var('x')
- return { 'ogf': [(((9600*x**2)-(196*x))+1)**(-(1/2))] }
-
-
-
-def A181586():
- x = SR.var('x')
- return { 'ogf': [((x**2*((-1)+x))/(((2*x)-1)*(1+x)*(x**2+1)))] }
-
-
-
-def A181617():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(1+(2*x)))/(1-x)**4)] }
-
-
-
-def A181635():
- x = SR.var('x')
- return { 'ogf': [((((1296*x**3)-(216*x**2))+(36*x))/(((1296*x**4)-(216*x**3)-(6*x))+1))] }
-
-
-
-def A181640():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x))/((1+x+x**2+x**3+x**4)*(1-x)**4))] }
-
-
-
-def A181641():
- x = SR.var('x')
- return { 'ogf': [(sqrt((1-(4*x)))/(1+x))] }
-
-
-
-def A181655():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-x**3)+x**4)/((1-x**2)*(1-(3*x**2))))] }
-
-
-
-def A181658():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+x**3)/((1-(3*x**2))+x**4+x**6))] }
-
-
-
-def A181668():
- x = SR.var('x')
- return { 'ogf': [(-((x*(5+(2*x**3)+(8*x**6)+(2*x**9)))/((x-1)*(1+x)*(x**2+1)*((x**2-x)+1)*((x**4-x**2)+1))))] }
-
-
-
-def A181679():
- x = SR.var('x')
- return { 'ogf': [((x*((-(119*x))-123))/(x-1)**3)] }
-
-
-
-def A181688():
- x = SR.var('x')
- return { 'ogf': [((x**2-x)/(((x**4-(2*x**3))+(2*x**2)+(2*x))-1))] }
-
-
-
-def A181689():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x**2)-(2*x**4)))/(1-(11*x**2)-(2*x**6)))] }
-
-
-
-def A181716():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/(1-(2*x**2)-x**3))] }
-
-
-
-def A181718():
- x = SR.var('x')
- return { 'ogf': [((6*x*((-2)+(35*x)))/((x-1)*((100*x)-1)*((10*x)-1)))] }
-
-
-
-def A181762():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-8)-x)+(2*x**2)))/((x-1)**2*(1+x)**2)))] }
-
-
-
-def A181768():
- x = SR.var('x')
- return { 'ogf': [((3/2)-((1/2)*sqrt(((1-(5*x))/(1-x)))))] }
-
-
-
-def A181773():
- x = SR.var('x')
- return { 'ogf': [((48*x**2*(x+1))/(x-1)**4)] }
-
-
-
-def A181888():
- x = SR.var('x')
- return { 'ogf': [((x**3*(9+x))/(1-x)**7)] }
-
-
-
-def A181890():
- x = SR.var('x')
- return { 'ogf': [(((5+(12*x))-x**2)/(1-x)**3)] }
-
-
-
-def A181900():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(6*x**2)+(8*x**3)+x**4))/((1-x)**3*(1+x)**3))] }
-
-
-
-def A181914():
- x = SR.var('x')
- return { 'ogf': [((2-sqrt((2+(16*x)+(2*sqrt((1-(16*x)))))))/(8*x))] }
-
-
-
-def A181961():
- x = SR.var('x')
- return { 'ogf': [((((1+(6*x))-(14*x**2))+x**4)/(((1-(12*x))+(3*x**2)+(25*x**3)+(2*x**4))-x**5))] }
-
-
-
-def A181963():
- x = SR.var('x')
- return { 'ogf': [(((14083-(29326*x))+(15293*x**2))/(1-x)**3)] }
-
-
-
-def A181968():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(57*x)+(213*x**2)+(55*x**3))/(1-x)**4)] }
-
-
-
-def A181969():
- x = SR.var('x')
- return { 'ogf': [(((1373-(3022*x))+(1681*x**2))/(1-x)**3)] }
-
-
-
-def A181973():
- x = SR.var('x')
- return { 'ogf': [(((1447-(3178*x))+(1763*x**2))/(1-x)**3)] }
-
-
-
-def A181975():
- x = SR.var('x')
- return { 'ogf': [((2+x+x**2+x**3+x**4)/((1-x)*(1+x**4)))] }
-
-
-
-def A181982():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x)**3)/(1+x**2+x**4))] }
-
-
-
-def A181983():
- x = SR.var('x')
- return { 'ogf': [(x/(1+x)**2)] }
-
-
-
-def A181984():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/(((1-(3*x))+(2*x**2))-x**3)),
-(1/(1-((2*x)/(1-(x/(2+(x/(1-((2*x)/(1+x))))))))))] }
-
-
-
-def A181989():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-x**2)/((x**3-(5*x**2)-(7*x))+1))] }
-
-
-
-def A181995():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+(5*x)+(2*x**2)))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A182014():
- x = SR.var('x')
- return { 'ogf': [((((x**4+(6*x**3))-(24*x**2))+(12*x)+1)/(((((-x**5)-(5*x**4))+(44*x**3))-(8*x**2)-(17*x))+1))] }
-
-
-
-def A182019():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**7+(4*x**6))-(79*x**5))+(60*x**4)+(154*x**3))-(143*x**2))+(18*x)+1)/((((((x**8+(5*x**7))-(109*x**6))+(187*x**5)+(334*x**4))-(317*x**3)-(65*x**2))+(29*x))-1)))] }
-
-
-
-def A182027():
- x = SR.var('x')
- return { 'ogf': [(1+x+(x*sqrt(((1+(2*x))/(1-(2*x))))))] }
-
-
-
-def A182041():
- x = SR.var('x')
- return { 'ogf': [(((((-(11*x**6))+(27*x**5)+(130*x**4))-(70*x**3)-(220*x**2)-(43*x))+11)/(((x**3-(5*x**2)-(7*x))+1)*((x**4-(3*x**3)-x**2)+(3*x)+1)))] }
-
-
-
-def A182054():
- x = SR.var('x')
- return { 'ogf': [((((6*x**2)-(11*x)-8)*(((2*x**3)-(5*x**2)-(4*x))+1))/((((4*x**5)-(13*x**4))+(3*x**3)+(15*x**2)+(3*x))-1))] }
-
-
-
-def A182077():
- x = SR.var('x')
- return { 'ogf': [((((-(4*x**4))+(23*x**3))-(12*x**2)-(37*x)-13)/((((4*x**5)-(13*x**4))+(3*x**3)+(15*x**2)+(3*x))-1))] }
-
-
-
-def A182079():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**4+x**3+x**2+1))/((x-1)**3*(x+1)**2*((x**2-x)+1)*(x**2+x+1))))] }
-
-
-
-def A182086():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**5)*(1-x**10)*(1-x**50)*(1-x**100)*(1-x**200)*(1-x**500)))] }
-
-
-
-def A182097():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**2-x**3)),
-(1/(1-x**2-x**3))] }
-
-
-
-def A182122():
- x = SR.var('x')
- return { 'ogf': [((2*x)+sqrt((1+(4*x**2))))] }
-
-
-
-def A182130():
- x = SR.var('x')
- return { 'ogf': [(((((-(28*x**4))-(55*x**3))+(89*x**2)+(29*x))-27)/(((((28*x**5)+(42*x**4))-(109*x**3))+(17*x**2)+(13*x))-1))] }
-
-
-
-def A182141():
- x = SR.var('x')
- return { 'ogf': [((((((((((((979776*x**18)-(75600*x**17)-(12197940*x**16))+(5916552*x**15)+(35833019*x**14))-(19220271*x**13)-(44070216*x**12))+(23310438*x**11)+(26177559*x**10))-(13274349*x**9)-(7520073*x**8))+(3654387*x**7)+(940365*x**6))-(451464*x**5)-(43362*x**4))+(24495*x**3)+(25*x**2))-(468*x))+27)/((x-1)*(x+1)*(((3*x**3)-(5*x**2)-(5*x))+1)*(((36*x**4)-x**3-(20*x**2)-x)+1)*((((36*x**4)+x**3)-(20*x**2))+x+1)*(((((28*x**5)+(42*x**4))-(109*x**3))+(17*x**2)+(13*x))-1)))] }
-
-
-
-def A182143():
- x = SR.var('x')
- return { 'ogf': [((x**2-(2*x)-1)/((x+1)*((x**2+(2*x))-1)))] }
-
-
-
-def A182189():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-x**2)/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A182190():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A182191():
- x = SR.var('x')
- return { 'ogf': [(-((1-(12*x)-x**2)/((1-x)*((1-(6*x))+x**2))))] }
-
-
-
-def A182228():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)-(3*x**2)))] }
-
-
-
-def A182260():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)+x**2))/((1-x)**4*(1+x)))] }
-
-
-
-def A182323():
- x = SR.var('x')
- return { 'ogf': [((25+(47*x)+(25*x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A182349():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**4*(1-(2*x))**5))] }
-
-
-
-def A182401():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-sqrt(((1-(10*x))+(21*x**2))))/(2*x**2))] }
-
-
-
-def A182415():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**2))/((1-x)*(1-x-x**2)))] }
-
-
-
-def A182428():
- x = SR.var('x')
- return { 'ogf': [((4*x*(9-(10*x)))/(1-x)**3)] }
-
-
-
-def A182435():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A182453():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(2*x**2)+(2*x**3))/((1-x)**3*(1-(3*x))))] }
-
-
-
-def A182460():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/((1-x)*(1-(16*x))))] }
-
-
-
-def A182461():
- x = SR.var('x')
- return { 'ogf': [(-((8*(x-2))/(((2*x**2)-(3*x))+1)))] }
-
-
-
-def A182462():
- x = SR.var('x')
- return { 'ogf': [(-((10*(x-2))/(((2*x**2)-(3*x))+1)))] }
-
-
-
-def A182464():
- x = SR.var('x')
- return { 'ogf': [(-((12*(x-2))/(((2*x**2)-(3*x))+1)))] }
-
-
-
-def A182465():
- x = SR.var('x')
- return { 'ogf': [(-((14*(x-2))/(((2*x**2)-(3*x))+1)))] }
-
-
-
-def A182466():
- x = SR.var('x')
- return { 'ogf': [(-((16*(x-2))/(((2*x**2)-(3*x))+1)))] }
-
-
-
-def A182467():
- x = SR.var('x')
- return { 'ogf': [(-((18*(x-2))/(((2*x**2)-(3*x))+1)))] }
-
-
-
-def A182480():
- x = SR.var('x')
- return { 'ogf': [((x**6*(((2+(3*x))-(2*x**2))+(8*x**3)))/(((1-x)+x**3)-x**4))] }
-
-
-
-def A182486():
- x = SR.var('x')
- return { 'ogf': [((2*(2+x))/(4-x-(x*sqrt((1-(4*x)))))),
-(((4-x)+(x*sqrt((1-(4*x)))))/(2*((2-(2*x))+x**2)))] }
-
-
-
-def A182492():
- x = SR.var('x')
- return { 'ogf': [(1-x-((1-sqrt((1+(4*x**4))))/(2*x)))] }
-
-
-
-def A182512():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(((16*x)-1)*(x-1)))] }
-
-
-
-def A182522():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/(1-(3*x**2)))] }
-
-
-
-def A182555():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x)-sqrt((1-(4*x**2))))/(2*(1-(2*x))**2))] }
-
-
-
-def A182568():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5)/((1+x)*(x**2+1)*(x-1)**3)))] }
-
-
-
-def A182754():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(21*x)))/((-1)+(77*x**2))))] }
-
-
-
-def A182788():
- x = SR.var('x')
- return { 'ogf': [((6*x**3*(1+(25*x)+(67*x**2)+(27*x**3)))/(1-x)**7)] }
-
-
-
-def A182789():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**3*((3267*x**7)+(51359*x**6)+(195679*x**5)+(241075*x**4)+(100425*x**3)+(12653*x**2)+(341*x)+1))/(x-1)**11))] }
-
-
-
-def A182866():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(28+(209*x)+(249*x**2)+(53*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A182868():
- x = SR.var('x')
- return { 'ogf': [(-((1-(7*x)-(2*x**2))/(1-x)**3))] }
-
-
-
-def A182879():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x**2))-x**3))/(((1-(3*x))+x**2)*(1+x+x**2))**(3/2))] }
-
-
-
-def A182883():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((((1-(2*x**2))+x**4)-(4*x**3))))] }
-
-
-
-def A182895():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1+x+x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A182959():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x)**2)/((1-(2*x))+sqrt((1-(8*x)))))] }
-
-
-
-def A183041():
- x = SR.var('x')
- return { 'ogf': [((((((2*x**5)-(2*x**4))+x**3)-x**2-x)+3)/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A183042():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x**13-x**9-(3*x**7)-x**6-(4*x**2)-(3*x)-3))/((x-1)**3*(x+1)*(x**2+1)*(x**2+x+1)**2))] }
-
-
-
-def A183044():
- x = SR.var('x')
- return { 'ogf': [((x*(((((2*x**10)+(2*x**9))-(2*x**8)-(4*x**7)-(5*x**6)-x**5)+x**4)-(2*x**3)-(5*x**2)-(7*x)-5))/((x-1)**3*(x+1)**2*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A183046():
- x = SR.var('x')
- return { 'ogf': [((x*(((((4*x**8)+(2*x**7))-(8*x**6)-(7*x**5))+(5*x**3))-(3*x**2)-(12*x)-7))/((x-1)**3*(x+1)**2*(x**2+x+1)))] }
-
-
-
-def A183047():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((2*x**8)+(2*x**7))-(4*x**6)-(5*x**5)-(2*x**4)-x**3-(5*x**2)-(8*x)-5))/((x-1)**4*(x+1)**2*(x**2+x+1))))] }
-
-
-
-def A183048():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((2*x**8)+(2*x**7))-(4*x**6)-(5*x**5)-(2*x**4)-x**3-(5*x**2)-(8*x)-5))/((x-1)**3*(x+1)**2*(x**2+x+1)))] }
-
-
-
-def A183050():
- x = SR.var('x')
- return { 'ogf': [((x*((((((2*x**12)-(2*x**11))+(2*x**10))-(4*x**9))+(2*x**8))-x**7-x**6-(4*x**4)-(4*x**2)-x-3))/((x-1)**3*(x**2+1)*(x**2+x+1)**2))] }
-
-
-
-def A183052():
- x = SR.var('x')
- return { 'ogf': [((4*x*((((((2*x**12)-(2*x**11))+(2*x**10))-(4*x**9))+(2*x**8))-x**7-x**6-(4*x**4)-(4*x**2)-x-3))/((x-1)**3*(x**2+1)*(x**2+x+1)**2))] }
-
-
-
-def A183053():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((((((2*x**12)-(2*x**11))+(2*x**10))-(4*x**9))+(2*x**8))-x**7-x**6-(4*x**4)-(4*x**2)-x-3))/((x-1)**4*(x**2+1)*(x**2+x+1)**2)))] }
-
-
-
-def A183111():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(4*x**3)+x**2))/(((3*x)-1)*(((2*x**3)+x**2)-1))))] }
-
-
-
-def A183112():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2-(4*x**3)))/((1-x)*(1-(3*x))*(1-x**2-(2*x**3))))] }
-
-
-
-def A183113():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x))*(1+x)**2)/((1-(3*x))*(1-x**2-(2*x**3))))] }
-
-
-
-def A183114():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)-1)*(1+x)**2)/((x-1)*((3*x)-1)*(((2*x**3)+x**2)-1)))] }
-
-
-
-def A183115():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x**2)-(4*x**3)))/((1-(3*x))*(1-x**2-(2*x**3))))] }
-
-
-
-def A183118():
- x = SR.var('x')
- return { 'ogf': [((x*(((-(2*x**4))-(4*x**3)-(3*x**2))+1))/((((-(6*x**5))+(5*x**4)+(2*x**3)+(2*x**2))-(4*x))+1))] }
-
-
-
-def A183119():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(3*x**2)))/((1+x)*((3*x)-1)*(x-1)**2))] }
-
-
-
-def A183120():
- x = SR.var('x')
- return { 'ogf': [((x*(((((3*x**2)-x**3-(2*x**4))+(4*x**5))-1)+x))/((1+x)*((3*x)-1)*(x-1)**2))] }
-
-
-
-def A183121():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x+(3*x**2))-x**3-(2*x**4))+(4*x**5))-1))/((1+x)*((3*x)-1)*(x-1)**3)))] }
-
-
-
-def A183122():
- x = SR.var('x')
- return { 'ogf': [((x+(3*x**2)+(7*x**3))-((x**4*((-19)+(4*x)+(25*x**2)))/((x-1)*((3*x)-1)*(1+x))))] }
-
-
-
-def A183123():
- x = SR.var('x')
- return { 'ogf': [((x*(((4*x**5)+(2*x**4)+(2*x**3)+(3*x**2))-1))/((x-1)**2*(x+1)*((3*x)-1)))] }
-
-
-
-def A183124():
- x = SR.var('x')
- return { 'ogf': [((((((-(4*x**8))-(2*x**6))+x**4)-(3*x**3)-x**2)+x)/((((-(3*x**4))+(4*x**3)+(2*x**2))-(4*x))+1))] }
-
-
-
-def A183125():
- x = SR.var('x')
- return { 'ogf': [((((((-(4*x**8))-(2*x**6))+x**4)-(3*x**3)-x**2)+x)/(((((3*x**5)-(7*x**4))+(2*x**3)+(6*x**2))-(5*x))+1))] }
-
-
-
-def A183155():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(3*x))-(4*x**2))/(((2*x)-1)*(x-1)**2))] }
-
-
-
-def A183156():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(6*x**2))-(2*x**3))/(((2*x)-1)*(x-1)**3))] }
-
-
-
-def A183159():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-(3*x**4))+(10*x**3))/(((2*x)-1)*((2*x)+1)*(x-1)**3))] }
-
-
-
-def A183207():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-x-(5*x**2)-x**3))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A183304():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/(1-(2*x)-x**3))] }
-
-
-
-def A183324():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)-x)+x**3)-x**2))/((((1-(2*x))+x**2)-(2*x**3))+x**4)))] }
-
-
-
-def A183494():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-(2*x**2)))/(1-(2*x))/(1-(2*x**3)))] }
-
-
-
-def A183527():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((((((((-(61*x**124))-(56*x**118))+(53*x**117)+(3*x**116))-x**115)+(2*x**114))-(65*x**113)-(58*x**112))+(57*x**111))-(56*x**110)-x**109-(57*x**108))+(54*x**106)+(3*x**105)+(58*x**104))-(52*x**102))+(50*x**101))-(55*x**100))+(56*x**95))-(53*x**94)-(3*x**93))+x**92)-(2*x**91))+(2*x**90)+x**87)-x**86)+(41*x**84))-(51*x**83)-(66*x**82)-(58*x**81)-(52*x**79))+(4*x**78))-(58*x**77)-x**74-x**73-x**72-(54*x**71)-(6*x**70)-(59*x**69)-x**68-(58*x**67)-(2*x**66)-x**65-(2*x**64)-(56*x**63)-(4*x**62)-x**61-(58*x**60)-(2*x**59)-(59*x**58)-x**57-x**56-(2*x**55)-x**54-x**53-(54*x**52)-(6*x**51)-(59*x**50)-x**49-(58*x**48)-(2*x**47)-x**46-(2*x**45)-(56*x**44)-(4*x**43)-x**42-(58*x**41)-(2*x**40)-x**39-(58*x**38)-(2*x**37)-x**36-(2*x**35)-x**34-(55*x**33)-(5*x**32)-(59*x**31)-x**30-(2*x**29)-(56*x**28)-(4*x**27)-x**26-(58*x**25)-(2*x**24)-x**23-(58*x**22)-(3*x**21)-x**20-(2*x**19)-(56*x**18)-(4*x**17)-(59*x**16)-x**15-(2*x**14)-x**13-x**12-(42*x**11)-(3*x**10)-x**9-x**8-x**7-(6*x**6)-(6*x**5)-x**4-x**3-x**2-x)/(((-x**74)+x**73+x)-1))] }
-
-
-
-def A183873():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*(x**4-x**3-1))/((x-1)**3*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A184005():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x)+x**2)-x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A184017():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*(((((x**8-x**7)+x**5)-x**4-x**3)+x**2)-1))/((x-1)**3*(x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A184052():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(3*x))-(2*x**2)-(5*x**3)-(4*x**5))+(10*x**4))/(((2*x)-1)*((2*x**2)-1)*(x-1)**3))] }
-
-
-
-def A184096():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x))-(2*x**2))*(1+(2*x**2)))/(1-x)/(1+x)/(1-(2*x))/(1+(2*x))/(1-(2*x**2)))] }
-
-
-
-def A184223():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((2*x)+1)*((6*x)-5))/(((6*x**3)-(3*x**2)-(3*x))+1)))] }
-
-
-
-def A184327():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(11*x))-(5*x**2))+x**3))/((1-x)*(1+x)*((1-(6*x))+x**2)))] }
-
-
-
-def A184334():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)/((1-x)+x**2)),
-(1/(1-((2*x)/(1+(x/(1-(x/(1+x))))))))] }
-
-
-
-def A184337():
- x = SR.var('x')
- return { 'ogf': [((9*x*((-9)+(20*x)))/((x-1)*((100*x)-1)*((10*x)-1)))] }
-
-
-
-def A184418():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)**2/(1-x**2)**2)] }
-
-
-
-def A184533():
- x = SR.var('x')
- return { 'ogf': [((((-2)-(2*x)-x**2-(2*x**3))+x**4)/(((-1)+x)**3*(1+x)))] }
-
-
-
-def A184534():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**6-(2*x**5))+x**4)-x**2-x-1))/((x-1)**3*(x+1)))] }
-
-
-
-def A184536():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-(4*x**3))+(10*x**2)+(12*x)+5))/(x-1)**4)] }
-
-
-
-def A184538():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((x**6-(3*x**5))+(3*x**4)+(6*x**2)+(3*x)+2))/((x-1)**4*(x**2+x+1)))] }
-
-
-
-def A184549():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x**3)+(6*x**2)+(11*x)+6))/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A184628():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4-(4*x**3))+(7*x**2)+2))/(x-1)**4)] }
-
-
-
-def A184637():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(((x**5-(2*x**4))+x**3)-(2*x**2)-2))/((x-1)**3*(x**2+x+1)))] }
-
-
-
-def A184750():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((9*x**2)-(25*x))+19))/(1-x)**3)] }
-
-
-
-def A184880():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((((4*x**3)+(3*x**2))-x-1)*((((4*x**3)-(5*x**2))+(3*x))-1)))] }
-
-
-
-def A184881():
- x = SR.var('x')
- return { 'ogf': [((((8*x)+1)-sqrt((1+(4*x)))**3)/(2*x))] }
-
-
-
-def A184882():
- x = SR.var('x')
- return { 'ogf': [(((1-(10*x))+x**2)/(1-x)**3)] }
-
-
-
-def A184884():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/(((1-x-(2*x**2)-(2*x**3))+x**4)-x**5))] }
-
-
-
-def A184985():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)*x**2)/(1-x)**2)] }
-
-
-
-def A185019():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(17*x)))/(1-x)**3)] }
-
-
-
-def A185039():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(8*x)+(5*x**2)))/((x+1)**2*(1-x)**3))] }
-
-
-
-def A185048():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**7+x**6)-x**5)+x**4+x**3+x**2+x+1))/((x-1)**2*(x+1)**2*(x**2+1)))] }
-
-
-
-def A185049():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**5+x**4+(3*x**3)+(2*x**2)+x+1))/((x-1)*(x+1)*(x**2+1))))] }
-
-
-
-def A185087():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**2)-sqrt(((1-(2*x)-(3*x**2))+(4*x**3))))/(2*x**4))] }
-
-
-
-def A185089():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+x**2)-sqrt(((1-(2*x)-(5*x**2))+(6*x**3)+x**4)))/(4*(x**2*(1-x))))] }
-
-
-
-def A185098():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((((8*x**6)-(36*x**5))+(22*x**4)+(67*x**3))-(82*x**2)-(20*x))+23))/((x-1)**3*((2*x)-1)*((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A185138():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((3*x**8)+x**7+(5*x**6)+(3*x**5)+(12*x**4)+(3*x**3)+(3*x**2)+x+1))/((x-1)**3*(x+1)**3*(x**2+1)**3)))] }
-
-
-
-def A185170():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+(2*x**4))-x**5)+(3*x**6))/((1-x)**2*(1-x**5)))] }
-
-
-
-def A185265():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**4+x**3+1))/((x**5+x**4+x**2+x)-1)))] }
-
-
-
-def A185270():
- x = SR.var('x')
- return { 'ogf': [(-((648*x*(x+1)*(x**4+(56*x**3)+(246*x**2)+(56*x)+1))/(x-1)**7))] }
-
-
-
-def A185273():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(5*x**2)+(6*x**3)+x**4))/((1-x)*(1+x)*((1-x)+x**2)*(1+x+x**2)))] }
-
-
-
-def A185276():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2)*(1-x**6))/(1+x**10))] }
-
-
-
-def A185277():
- x = SR.var('x')
- return { 'ogf': [((((1-(9*x))+(538*x**2)+(9970*x**3))-(43028*x**4)-(638168*x**5)-(1317266*x**6)-(779618*x**7)-(130925*x**8)-(4527*x**9)-(8*x**10))/((1-x)**10*(1-(9*x))))] }
-
-
-
-def A185292():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x**3))**4] }
-
-
-
-def A185346():
- x = SR.var('x')
- return { 'ogf': [(((-8)+(17*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A185355():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(7*x)+(2*x**2)))/(1-x)**5)] }
-
-
-
-def A185394():
- x = SR.var('x')
- return { 'ogf': [((x**2*((152+(51*x)+(376*x**2))-(88*x**3)-(17*x**4)-(88*x**5)))/((1-x)*((1-(6*x**3))+x**6)))] }
-
-
-
-def A185395():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x**3))**3] }
-
-
-
-def A185437():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*(x**3-x-1))/(x-1))] }
-
-
-
-def A185438():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(11*x**2))/(x-1)**3)] }
-
-
-
-def A185452():
- x = SR.var('x')
- return { 'ogf': [((x*(3+x+(2*x**2)))/(1-x**2)**2)] }
-
-
-
-def A185453():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+(8*x**2)+(4*x**3)+(2*x**4)))/((x-1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A185669():
- x = SR.var('x')
- return { 'ogf': [(((-2)-(3*x)-(3*x**2))/(x-1)**3)] }
-
-
-
-def A185688():
- x = SR.var('x')
- return { 'ogf': [((x*(((2+(3*x**2)+(8*x**3)+(24*x**5)+(24*x**7)+(8*x**9))-(4*x**6))+(6*x**8)+(3*x**10)))/((x-1)**2*(1+x)**3*(x**2+1)**3))] }
-
-
-
-def A185727():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(5*x**2)+(2*x**3)+(8*x**4)+x**5+(7*x**6)+(2*x**7)+(4*x**8)+x**9+x**10))/((x-1)**2*(1+x)**2*(1+x+x**2)**2*((x**2-x)+1)**2))] }
-
-
-
-def A185771():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-81)-(315*x)-(2170*x**2)-(7476*x**3)-(11880*x**4)-(21720*x**5))+(25200*x**6)+(177120*x**7)+(155520*x**8)))/((((24*x**3)+(24*x**2)+(3*x))-1)*((576*x**6)-(72*x**4)-(24*x**2)-1))))] }
-
-
-
-def A185787():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+(3*x)+1))/(1-x)**4)] }
-
-
-
-def A185788():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(4*x)+x**2))/(x-1)**4)] }
-
-
-
-def A185828():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+(3*x**2))-(2*x**3)))/(1+x+x**2)/((1-(3*x))+x**2))] }
-
-
-
-def A185918():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((13*x)-1))/(x-1)**3))] }
-
-
-
-def A185939():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+5)*((2*x)+1))/(x-1)**3))] }
-
-
-
-def A185940():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((12-(35*x))+(24*x**2)))/((((-1)+(6*x))-(11*x**2))+(6*x**3))))] }
-
-
-
-def A185950():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x)-(4*x**2))/(x-1)**3)] }
-
-
-
-def A185963():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(2*x))+(3*x**2))-x**3))] }
-
-
-
-def A185964():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-x)+(2*x**3))-x**4))] }
-
-
-
-def A186025():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(3*x**2))-x**3)/(((1-(4*x))+(4*x**2))-x**3))] }
-
-
-
-def A186029():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(2*x)))/(1-x)**3)] }
-
-
-
-def A186030():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(8*x)))/(1-x)**3)] }
-
-
-
-def A186041():
- x = SR.var('x')
- return { 'ogf': [((x*(x**57+x**56+x**55+x**54+(3*x**53)+(3*x**52)+(2*x**51)+x**50+(3*x**49)+x**48+(2*x**47)+(3*x**46)+(2*x**45)+x**44+(2*x**43)+x**42+(3*x**41)+x**40+(2*x**39)+(3*x**38)+x**37+(2*x**36)+(2*x**35)+x**34+(2*x**33)+x**32+x**31+(2*x**30)+(3*x**29)+(3*x**28)+(2*x**27)+x**26+x**25+(2*x**24)+x**23+(2*x**22)+(2*x**21)+x**20+(3*x**19)+(2*x**18)+x**17+(3*x**16)+x**15+(2*x**14)+x**13+(2*x**12)+(3*x**11)+(2*x**10)+x**9+(3*x**8)+x**7+(2*x**6)+(3*x**5)+(3*x**4)+x**3+x**2+x+2))/((x-1)**2*(x**2+x+1)*(x**18+x**17+x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*((((((((((((((((((((((((x**36-x**35)+x**33)-x**32)+x**30)-x**29)+x**27)-x**26)+x**24)-x**23)+x**21)-x**20)+x**18)-x**16)+x**15)-x**13)+x**12)-x**10)+x**9)-x**7)+x**6)-x**4)+x**3)-x)+1)))] }
-
-
-
-def A186042():
- x = SR.var('x')
- return { 'ogf': [((x*(x**21+x**19+x**17+x**16+x**15+x**13+x**11+x**10+x**8+x**7+x**6+x**4+x**3+x**2+1))/((x-1)**2*((((((((((x**10-x**9)+x**8)-x**7)+x**6)-x**5)+x**4)-x**3)+x**2)-x)+1)*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A186101():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2*(1+x**2))/(1-x**3)**2)] }
-
-
-
-def A186111():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**3*(1-x**3))/(1-x**4)**2),
-((x*(1+x+x**2)*(1-x)**2)/((1+x)**2*(1+x**2)**2)),
-(((1/(1+x))-(1/(1+x)**2)-(1/(1+x**2)))+(1/(1+x**2)**2))] }
-
-
-
-def A186113():
- x = SR.var('x')
- return { 'ogf': [((6+(7*x))/(x-1)**2)] }
-
-
-
-def A186181():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2)**2/(1-x**4))] }
-
-
-
-def A186187():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**4*((1-x)+x**2)**2)/(1-x**8))] }
-
-
-
-def A186194():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-1)+(45*x)))/((x-1)*((100*x)-1)*((10*x)-1)))] }
-
-
-
-def A186235():
- x = SR.var('x')
- return { 'ogf': [((x**4*(10+(8*x)+(9*x**2)+x**3))/((1+x)**3*(1-x)**4))] }
-
-
-
-def A186244():
- x = SR.var('x')
- return { 'ogf': [(x**2/((3*x)-1)/(((2*x**2)+(2*x))-1))] }
-
-
-
-def A186272():
- x = SR.var('x')
- return { 'ogf': [((x+x**2)-((x**3*(1+x)*((x**2+(3*x))-2))/(((x**2+x)-1)*((x**3+x**2+x)-1))))] }
-
-
-
-def A186314():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(3*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A186338():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((((1-(10*x))+(25*x**2))-(16*x**3)))+(3*x))-1)/(2*x*((2*x)-1)))] }
-
-
-
-def A186341():
- x = SR.var('x')
- return { 'ogf': [((1-x-(3*x**2)-sqrt(((((1-(3*x)-(7*x**2))+(19*x**3)+(15*x**4))-(25*x**5)-(16*x**6))/(1-x))))/(2*(x**2*(1-x-(2*x**2)))))] }
-
-
-
-def A186349():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+x**2)-x**3)+x**4)-x**5))/((1+x)*(1+x**2)*(1-x)**3))] }
-
-
-
-def A186421():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**3)+x**4))/((1+x**2)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A186422():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+(2*x**3)+(2*x)+1)/((x-1)*(x+1)**2*(x**2+1))))] }
-
-
-
-def A186423():
- x = SR.var('x')
- return { 'ogf': [((-(x*(1+(2*x)+(2*x**3)+x**4)))/((x**2+1)*(1+x)**2*(x-1)**3))] }
-
-
-
-def A186424():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(2*x)-(6*x**2)-(2*x**3)-x**4)/((1+x)**2*(x-1)**3))] }
-
-
-
-def A186438():
- x = SR.var('x')
- return { 'ogf': [((2*x*((5*x**6)+x**5+(4*x**4)+(5*x**3)+(4*x**2)+x+5))/((x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A186439():
- x = SR.var('x')
- return { 'ogf': [((2*x*((19*x**2)+(12*x)+19)*(x**4+x**3+x**2+x+1))/((x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A186446():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(7*x))+(2*x**2)))] }
-
-
-
-def A186620():
- x = SR.var('x')
- return { 'ogf': [(-((x*(12+(13*x)))/((-1)+x+x**2)))] }
-
-
-
-def A186646():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(2*x**3)+(3*x**4)+(2*x**5)+x**6))/((x-1)**2*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A186679():
- x = SR.var('x')
- return { 'ogf': [((x*((-3)+x))/(((1+x)-x**2)*(1+x**2)))] }
-
-
-
-def A186680():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(30*x)+(30*x**2)+(2*x**3)))/(1-x))] }
-
-
-
-def A186682():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(17*x)+(5*x**2)))/(1-x))] }
-
-
-
-def A186707():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(10*x)-(20*x**2)-(10*x**3)-x**4)/((1+x)*(x-1)**5))] }
-
-
-
-def A186731():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x**3))**2] }
-
-
-
-def A186809():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)**2)/(1+x**2+x**4))] }
-
-
-
-def A186813():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x**3))/((1-x)*(1+x**2))**2),
-((x*(1-x**2)**3*(1-x**6))/((1-x)**3*(1-x**3)*(1-x**4)**2))] }
-
-
-
-def A186828():
- x = SR.var('x')
- return { 'ogf': [(((((1+x)-(3*x**2))+x**3)-((1+x**2)*sqrt(((1-(6*x))+x**2))))/(4*x*((1-x)+x**2+x**3)))] }
-
-
-
-def A186830():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(8*x))-(3*x**2)))/(1-x-x**2-x**3))] }
-
-
-
-def A186862():
- x = SR.var('x')
- return { 'ogf': [((8*x**2*(3+(11*x)))/(1-x)**3)] }
-
-
-
-def A186863():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((6+(106*x)+(87*x**2))-(15*x**3)))/(1-x)**3)] }
-
-
-
-def A186942():
- x = SR.var('x')
- return { 'ogf': [((((1-(6*x))+(16*x**2))-(8*x**3))/((1-(2*x))**2*((1-(5*x))+(4*x**2))))] }
-
-
-
-def A186947():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(12*x**2))/((1-(2*x))**2*(1-(4*x))))] }
-
-
-
-def A186948():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(7*x**2))/((1-x)**2*(1-(3*x))))] }
-
-
-
-def A186949():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(4*x**2))/(1-(2*x)))] }
-
-
-
-def A186950():
- x = SR.var('x')
- return { 'ogf': [(((479-(1004*x))+(527*x**2))/(1-x)**3)] }
-
-
-
-def A186966():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**2*(3+(25*x)+(30*x**2)+(9*x**3)))/((1+x)*(x-1)**5)))] }
-
-
-
-def A187035():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-x)+x**2)*(1+x)**2))] }
-
-
-
-def A187065():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1-x**2)+x**3))/((1-x**2-(2*x**4))+x**6))] }
-
-
-
-def A187066():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)+x**3)/((1-x**2-(2*x**4))+x**6))] }
-
-
-
-def A187067():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**4))/((1-x**2-(2*x**4))+x**6))] }
-
-
-
-def A187068():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x**2))+x**5)/((1-(2*x**2)-x**4)+x**6))] }
-
-
-
-def A187069():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x**2)+x**3)-x**4))/((1-(2*x**2)-x**4)+x**6))] }
-
-
-
-def A187070():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x)-x**2))/((1-(2*x**2)-x**4)+x**6))] }
-
-
-
-def A187074():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**4)*(1+x**3+x**6))/(1-x**12))] }
-
-
-
-def A187077():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)**3)/((((1-(7*x))+(13*x**2))-(10*x**3))+(2*x**4))))] }
-
-
-
-def A187078():
- x = SR.var('x')
- return { 'ogf': [((38-(37*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A187093():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)+(2*x)+x**3)-(4*x**2)))/((x**2+1)*(x-1)**3))] }
-
-
-
-def A187107():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((7*x**2)+(8*x))-8))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A187179():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((6*x**2)+(7*x))-7))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A187190():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(2+(17*x)+(5*x**2)))/(1-x)**5)] }
-
-
-
-def A187191():
- x = SR.var('x')
- return { 'ogf': [((8*x**2*(1+(30*x)+(75*x**2)+(14*x**3)))/(1-x)**6)] }
-
-
-
-def A187192():
- x = SR.var('x')
- return { 'ogf': [((48*x**3*(15+(99*x)+(112*x**2)+(14*x**3)))/(1-x)**7)] }
-
-
-
-def A187193():
- x = SR.var('x')
- return { 'ogf': [((96*x**3*(15+(306*x)+(812*x**2)+(503*x**3)+(44*x**4)))/(1-x)**8)] }
-
-
-
-def A187194():
- x = SR.var('x')
- return { 'ogf': [(-((96*x**3*((287*x**5)+(4491*x**4)+(11886*x**3)+(8776*x**2)+(1416*x)+24))/(x-1)**9))] }
-
-
-
-def A187195():
- x = SR.var('x')
- return { 'ogf': [((72*x**3*((2599*x**6)+(52838*x**5)+(213575*x**4)+(272580*x**3)+(96205*x**2)+(7286*x)+37))/(x-1)**10)] }
-
-
-
-def A187239():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**5*((630*x**18)+(10620*x**17)+(153525*x**16)+(1211058*x**15)+(6621390*x**14)+(24647178*x**13)+(66958554*x**12)+(133891418*x**11)+(202680754*x**10)+(232634698*x**9)+(204008900*x**8)+(135332502*x**7)+(67245306*x**6)+(24326718*x**5)+(6174582*x**4)+(1024222*x**3)+(99344*x**2)+(4466*x)+55))/((x-1)**15*(x+1)**9)))] }
-
-
-
-def A187240():
- x = SR.var('x')
- return { 'ogf': [(-((16*x**5*((2520*x**22)+(47160*x**21)+(808884*x**20)+(7825113*x**19)+(54648810*x**18)+(265795497*x**17)+(965510650*x**16)+(2.638742416E9*x**15)+(5.598377728E9*x**14)+(9.28007052E9*x**13)+(1.21894414E10*x**12)+(1.2689244954E10*x**11)+(1.04996757E10*x**10)+(6.853251794E9*x**9)+(3.50120034E9*x**8)+(1373620536*x**7)+(404231224*x**6)+(85610168*x**5)+(12313860*x**4)+(1085765*x**3)+(49362*x**2)+(797*x)+2))/((x-1)**17*(x+1)**11)))] }
-
-
-
-def A187241():
- x = SR.var('x')
- return { 'ogf': [(-((64*x**6*((5670*x**25)+(116100*x**24)+(2282283*x**23)+(25883910*x**22)+(220244661*x**21)+(1330673229*x**20)+(6.121839129E9*x**19)+(2.1511823232E10*x**18)+(5.9645434477E10*x**17)+(1.31494649245E11*x**16)+(2.34424379246E11*x**15)+(3.39339084372E11*x**14)+(4.01937236082E11*x**13)+(3.89328811002E11*x**12)+(3.08645316626E11*x**11)+(1.99052247464E11*x**10)+(1.0378057048E11*x**9)+(4.3151321222E10*x**8)+(1.4078209111E10*x**7)+(3.50831759E9*x**6)+(644755881*x**5)+(82579449*x**4)+(6782181*x**3)+(308200*x**2)+(5933*x)+25))/((x-1)**19*(x+1)**13)))] }
-
-
-
-def A187242():
- x = SR.var('x')
- return { 'ogf': [(-((32*x**6*((113400*x**29)+(2518560*x**28)+(55426428*x**27)+(713122128*x**26)+(7.133734665E9*x**25)+(5.1575533686E10*x**24)+(2.89157705424E11*x**23)+(1.253334719652E12*x**22)+(4.339842816598E12*x**21)+(1.2089938835312E13*x**20)+(2.7595185140132E13*x**19)+(5.1899069651452E13*x**18)+(8.1237872407883E13*x**17)+(1.06097483667238E14*x**16)+(1.16126611566624E14*x**15)+(1.0641782445796E14*x**14)+(8.1632991696988E13*x**13)+(5.2161861060464E13*x**12)+(2.7621327391332E13*x**11)+(1.1998025297736E13*x**10)+(4.224689442543E12*x**9)+(1.183463783138E12*x**8)+(2.57650398544E11*x**7)+(4.2074808244E10*x**6)+(4.911799606E9*x**5)+(379785344*x**4)+(17289788*x**3)+(373804*x**2)+(2525*x)+2))/((x-1)**21*(x+1)**15)))] }
-
-
-
-def A187243():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**5)*(1-x**10)))] }
-
-
-
-def A187272():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)*(1+(2*x)))/(1-(2*x**2))**2)] }
-
-
-
-def A187273():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x+1)*((3*x)+1))/((3*x**2)-1)**2)] }
-
-
-
-def A187274():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x+1)*((4*x)+1))/(((2*x)-1)**2*((2*x)+1)**2))] }
-
-
-
-def A187275():
- x = SR.var('x')
- return { 'ogf': [((5*x*(x+1)*((5*x)+1))/((5*x**2)-1)**2)] }
-
-
-
-def A187277():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-(12*x)-1))/(x-1)**4))] }
-
-
-
-def A187287():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((2+(3*x))-x**2))/(1-x)**3)] }
-
-
-
-def A187297():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((2+(3*x))-x**2))/(1-x)**3)] }
-
-
-
-def A187306():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2))))/(2*x**2*(1+x)))] }
-
-
-
-def A187307():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)-x**3)/((1-x)+x**2)**2)] }
-
-
-
-def A187321():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x**2)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A187324():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(2*x**2)+x**3+x**4))/((1+x)*(x**2+1)*(1+x+x**2)*(x-1)**2))] }
-
-
-
-def A187325():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x**4)+(3*x**3)+(3*x**2)+(2*x)+1)*((2*x**4)+x**3+(2*x**2)+x+1))/((1+x)*(1+x+x**2)*(x**4+x**3+x**2+x+1)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A187326():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x+(3*x**2)))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A187333():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+x+x**2+(2*x**3)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A187336():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5*x**4)+(2*x**3)+(2*x**2)+(3*x)+3))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A187337():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*((2*x**5)+x**4+x**3+x**2+x+1))/((x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A187340():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x**2))-x**3)/((1-x)+x**2)**2)] }
-
-
-
-def A187378():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((2+(14*x)+(12*x**2))-x**3))/(1-x)**3)] }
-
-
-
-def A187379():
- x = SR.var('x')
- return { 'ogf': [((x**3*((40+(68*x)+(43*x**2))-(13*x**3)))/(1-x)**3)] }
-
-
-
-def A187430():
- x = SR.var('x')
- return { 'ogf': [((1/(2*x))-(((1+(1-(4*x))**(1/2))*((2+(2*(1-(4*x))**(1/2))+(12*x))**(1/2)-2))/(8*x**2)))] }
-
-
-
-def A187468():
- x = SR.var('x')
- return { 'ogf': [((x*(((32*x**3)-(4*x))+1))/(((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A187495():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((1-x**3)+x**4)-x**6-x**7)+x**8))/((1-x**3-(3*x**6))+(2*x**9)+x**12))] }
-
-
-
-def A187496():
- x = SR.var('x')
- return { 'ogf': [(((((1-x**3)+x**4)-x**6-x**7)+x**8)/((1-x**3-(3*x**6))+(2*x**9)+x**12))] }
-
-
-
-def A187497():
- x = SR.var('x')
- return { 'ogf': [((x*((((((1+x**2)-x**3)+x**4)-x**5-x**6)+x**9)-x**10))/((1-x**3-(3*x**6))+(2*x**9)+x**12))] }
-
-
-
-def A187498():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x)*(x**6+(3*x**4)+(2*x**2)+1))/((1+x+x**2)*((x**9+(3*x**6))-1))))] }
-
-
-
-def A187499():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((1-(2*x**3))+x**4+x**5)-x**7))/((1-(3*x**3))+(3*x**9)))] }
-
-
-
-def A187500():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(2*x**3))+x**5)-x**6)+x**7)-x**8)+x**9)-x**11)/((1-(3*x**3))+(3*x**9)))] }
-
-
-
-def A187501():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(2*x**3))+x**4+x**5)-x**7))/((1-(3*x**3))+(3*x**9)))] }
-
-
-
-def A187502():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1+x+x**2)-(2*x**3)-x**4-x**5-x**7)+x**9))/((1-(3*x**3))+(3*x**9)))] }
-
-
-
-def A187503():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((1+x+x**2)-x**3)+x**5)-x**6))/((1-(2*x**3)-(3*x**6))+x**9+x**12))] }
-
-
-
-def A187504():
- x = SR.var('x')
- return { 'ogf': [((((((1-(2*x**3))+x**4+x**5)-x**6)+x**9)-x**10)/((1-(2*x**3)-(3*x**6))+x**9+x**12))] }
-
-
-
-def A187505():
- x = SR.var('x')
- return { 'ogf': [((x*((((((1+x**2)-x**3)+x**4)-(2*x**6))+x**7)-x**8))/((1-(2*x**3)-(3*x**6))+x**9+x**12))] }
-
-
-
-def A187506():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((1+x+x**2)-x**3)+x**5)-x**6))/((1-(2*x**3)-(3*x**6))+x**9+x**12))] }
-
-
-
-def A187508():
- x = SR.var('x')
- return { 'ogf': [((x**2*((6+(13*x))-x**2))/(1-x)**3)] }
-
-
-
-def A187509():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2+(30*x)+(13*x**2))-(3*x**3)))/(1-x)**3)] }
-
-
-
-def A187510():
- x = SR.var('x')
- return { 'ogf': [((x**3*((40+(64*x)+(3*x**2))-(5*x**3)))/(1-x)**3)] }
-
-
-
-def A187532():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(16*x**2)+(7*x**3)+(9*x**4)+(17*x**5)+(11*x**6)+(6*x**7)+(5*x**8))/((1-x)*(1+x+x**2)*(1+x**3+x**6)))] }
-
-
-
-def A187541():
- x = SR.var('x')
- return { 'ogf': [((x*(4+x+(12*x**2)+(16*x**3)+(12*x**4)+x**5+(4*x**6)))/(1-x**4)**2)] }
-
-
-
-def A187560():
- x = SR.var('x')
- return { 'ogf': [(((-2)+x+(4*x**2))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A187587():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5+(69*x)+(49*x**2))-(7*x**3)))/(1-x)**3)] }
-
-
-
-def A187588():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((53+(130*x)+(34*x**2))-(15*x**3)))/(1-x)**3)] }
-
-
-
-def A187601():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+x**2)-x**3)+x**4+x**5+x**6))/((1-x)**2*(1+x)**2*((1-x)+x**2)**2))] }
-
-
-
-def A187620():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(78*x**2)-(267*x**3)-(337*x**4)-(36*x**5)-(8*x**6))+x**7+(6*x))/((1+x)*(x-1)**7))] }
-
-
-
-def A187673():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(5*x)-(3*x**2))/(x-1)**5)] }
-
-
-
-def A187693():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(4*x))-(3*x**2)))/((1-x)**2*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A187695():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+x)*(((1+(12*x))-(31*x**2))+(12*x**2)))/((1-x)**2*(1-(2*x))**2*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A187715():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(5*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A187734():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(2*x**3))/((1-(7*x**2)-(2*x**3))+(4*x**4)))] }
-
-
-
-def A187753():
- x = SR.var('x')
- return { 'ogf': [((((((x**9-x**8)+x**7)-(4*x**6))+x**5)-(3*x**4)-x**3-(2*x**2)-1)/(((((x**19-x**18-x**16)+(2*x**12)+x**10)-x**9-(2*x**7))+x**3+x)-1))] }
-
-
-
-def A187756():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(14*x)+x**2))/(1-x)**5)] }
-
-
-
-def A187890():
- x = SR.var('x')
- return { 'ogf': [((-(x**2*((-4)+(5*x))))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A187915():
- x = SR.var('x')
- return { 'ogf': [((x*((3+x)-x**2-x**3))/((x**2+(2*x))-1)**2)] }
-
-
-
-def A187917():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x)+3))/((x**2+(2*x))-1)**2)] }
-
-
-
-def A187919():
- x = SR.var('x')
- return { 'ogf': [((x*((6*x**2)+(8*x)+3))/(((x**2+(2*x))-1)*(((9*x**2)+(6*x))-1)))] }
-
-
-
-def A188050():
- x = SR.var('x')
- return { 'ogf': [((20*x*(1+x))/(1-x)**4)] }
-
-
-
-def A188067():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**3+(2*x**2)+x+1))/((x-1)*(x+1))**4)] }
-
-
-
-def A188124():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(2+(4*x)+(5*x**2)+(5*x**3)+(4*x**4)+x**5+(2*x**6)))/((x**2+1)*(1+x+x**2)*(1+x)**2*(x-1)**5)))] }
-
-
-
-def A188126():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((21+(34*x)+(61*x**2)+(111*x**3)+(152*x**4)+(206*x**5)+(217*x**6)+(240*x**7)+(212*x**8)+(172*x**9)+(120*x**10)+(77*x**11)+(36*x**12)+(9*x**13)+(11*x**14))-x**15)+(4*x**16)+(4*x**18))-(8*x**20))+(4*x**21)))/(((x**2-x)+1)*(x**4+x**3+x**2+x+1)*(x**2+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**7)))] }
-
-
-
-def A188127():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((-137)-(210*x)-(3284*x**12)-(869*x**3)-(1398*x**4)-(2142*x**5)-(2816*x**6)-(3546*x**7)-(4084*x**8)-(4269*x**10)-(3951*x**11)-(2644*x**13)-(1892*x**14)-(1202*x**15)-(768*x**16)-(389*x**17)-(202*x**18)-(87*x**19)-(5*x**20))+(20*x**21))-(26*x**22))+(32*x**23)+(5*x**24)+(29*x**25))-(9*x**26)-(57*x**27))+(31*x**28))-(4356*x**9)-(430*x**2)))/(((x**2-x)+1)*(x**5-1)*(x**7-1)*(x**2+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**6)))] }
-
-
-
-def A188128():
- x = SR.var('x')
- return { 'ogf': [(((4-(6*x)-(6*x**2))+x**3)/((1+x)*((1-(3*x))+x**3)))] }
-
-
-
-def A188129():
- x = SR.var('x')
- return { 'ogf': [(-((((34*x**2)-(39*x))+8)/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A188134():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(2*x)+(12*x**2)+x**3+(12*x**4)+(2*x**5)+(4*x**6)))/(1-x**4)**2)] }
-
-
-
-def A188135():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((7*x)+1))/(x-1)**3))] }
-
-
-
-def A188146():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+x**2+(3*x**3)+x**4)/((x-1)**2*(1+x+x**2)**2))] }
-
-
-
-def A188161():
- x = SR.var('x')
- return { 'ogf': [((5-(14*x))/((1-(4*x))*(1-x)))] }
-
-
-
-def A188162():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-x-(19*x**2))+(32*x**3))-(24*x**4))+(8*x**5)))/((x-1)*((4*x)-1)*(1+x)*((2*x)-1)**3))] }
-
-
-
-def A188165():
- x = SR.var('x')
- return { 'ogf': [((10-(19*x))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A188167():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(6*x**2)+(8*x**3)+(6*x**4)+x**5+(2*x**6)))/(1-x**4)**2)] }
-
-
-
-def A188168():
- x = SR.var('x')
- return { 'ogf': [(((4*x)-1)/(((5*x**2)+(5*x))-1))] }
-
-
-
-def A188182():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((-5)+(3*x))-(3*x**2))+(3*x**3))-(3*x**4))+x**5))/((1+x+x**2)*(x-1)**4)))] }
-
-
-
-def A188183():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((12+(8*x)+(9*x**2)+(7*x**3)+(2*x**4)+(7*x**5)+(2*x**6)+(3*x**7))-(2*x**8)-(5*x**9))+(3*x**10)))/((x**2+1)*(1+x+x**2)*(1+x)**2*(x-1)**5)))] }
-
-
-
-def A188184():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((-32)+(2*x))-(9*x**2)-(19*x**3)-(28*x**4))+x**5+(5*x**6))-(17*x**7))+x**8+(10*x**9)+(13*x**10))-(23*x**11))+(8*x**12)))/((1+x)*(1+x+x**2)*(x**4+x**3+x**2+x+1)*(x-1)**6)))] }
-
-
-
-def A188185():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((94+(101*x)+(156*x**2)+(282*x**3)+(347*x**4)+(463*x**5)+(423*x**6)+(497*x**7)+(393*x**8)+(285*x**9)+(180*x**10)+(99*x**11)+(17*x**12))-(25*x**13))+(47*x**14))-(19*x**15))+(25*x**16)+(4*x**17)+(22*x**18))-(7*x**19)-(44*x**20))+(24*x**21)))/(((x**2-x)+1)*(x**4+x**3+x**2+x+1)*(x**2+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**7)))] }
-
-
-
-def A188186():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((-289)-(43*x)-(278*x**2)-(274*x**3)-(841*x**4)-(615*x**5)-(598*x**6)-(412*x**7)-(715*x**8)-(363*x**9)-(163*x**10)-(72*x**11)-(98*x**12)-(200*x**13))+(217*x**14))-(5*x**15)-(49*x**16)-(253*x**17))+(221*x**18)+(23*x**19)+(108*x**20))-(206*x**21))+(73*x**22)))/((1+x)*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*(1+x+x**2)**2*(x-1)**8)))] }
-
-
-
-def A188223():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+x**3)/(1-x-x**2-x**4-x**5))] }
-
-
-
-def A188312():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-sqrt(((1-(4*x)-(6*x**2))+x**4)))/(2*x*(1+x)))] }
-
-
-
-def A188314():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-sqrt(((1-(4*x)-(6*x**2))+x**4)))/(2*x))] }
-
-
-
-def A188335():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((20+(3*x))-(3*x**2)-(2*x**3)-(9*x**4))+(14*x**5)+(2*x**6)+(7*x**7))-(4*x**8)-(12*x**9))+(7*x**10)))/((x**2+1)*(1+x+x**2)*(1+x)**2*(x-1)**5)))] }
-
-
-
-def A188336():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((-197)-(30*x))+(20*x**2))-(29*x**3))+(33*x**4))-(37*x**5)-(64*x**6)-(157*x**7))+(5*x**8)+(27*x**9)+(84*x**10)+(24*x**11)+(67*x**12))-(46*x**13)-(130*x**14))+(78*x**15)))/((1+x+x**2)*(x**4+x**3+x**2+x+1)*(x**2+1)*(1+x)**2*(x-1)**6)))] }
-
-
-
-def A188337():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((((((((490+(84*x))-(9*x**2))+(170*x**3)+(75*x**4)+(308*x**5))-(67*x**6))+(585*x**7)+(274*x**8)+(36*x**9))-(8*x**10)-(95*x**11)-(302*x**12)-(273*x**13))+(345*x**14))-(126*x**15))+(216*x**16)+(63*x**17)+(165*x**18))-(120*x**19)-(327*x**20))+(198*x**21)))/(((x**2-x)+1)*(x**4+x**3+x**2+x+1)*(x**2+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**7)))] }
-
-
-
-def A188338():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((-5142)-(916*x)-(2609*x**3)-(2265*x**4)-(5656*x**5)-(2529*x**6)-(5176*x**7)-(6633*x**8)-(5259*x**9)-(2576*x**10))+(3400*x**12))-(110*x**13))+(1064*x**14)+(3324*x**15))-(2452*x**16)-(1012*x**17)-(2864*x**18)-(1943*x**19))+(601*x**20)+(1598*x**21))-(1297*x**22))+(2352*x**23)+(675*x**24)+(1715*x**25))-(1323*x**26)-(3484*x**27))+(2132*x**28))-(2108*x**11)-(163*x**2)))/(((x**2-x)+1)*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*(x**2+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**8)))] }
-
-
-
-def A188377():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((7-(6*x))+(7*x**2))-(2*x**3)))/(1-x)**4)] }
-
-
-
-def A188378():
- x = SR.var('x')
- return { 'ogf': [(((-2)+(3*x))/((x-1)*((x**2-(3*x))+1)))] }
-
-
-
-def A188379():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**10+(2*x**9)+(2*x**7)+(4*x**6))-(2*x**5)-(8*x**4)-(13*x**3)-(2*x**2))+(6*x)+6)*x**3)/((((x**14+(2*x**13)+(2*x**11)+(4*x**10))-(2*x**9)-(10*x**8)-(16*x**7)-(2*x**6))+(8*x**5)+(10*x**4)+(2*x**2)+(2*x))-1)))] }
-
-
-
-def A188386():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((11+(13*x)+(14*x**2))-(2*x**3)-x**4)+x**5))/((x-1)**3*(1+x)**3)))] }
-
-
-
-def A188444():
- x = SR.var('x')
- return { 'ogf': [((((1+x+x**2)-(3*x**3)-(6*x**4)-(6*x**5)-(3*x**6))+x**7+x**8+x**9)/(1+x**4)**3)] }
-
-
-
-def A188460():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**3-((1-x)*sqrt((((x**2-(3*x))+1)*(x**2+x+1)))))/(2*x**5))] }
-
-
-
-def A188464():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+x**2)-x**3-((1-x)*sqrt(((1-(4*x))+(2*x**2)+x**4))))/(2*x**4))] }
-
-
-
-def A188475():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(5*x**2))-x**3)/(1-x)**4)] }
-
-
-
-def A188480():
- x = SR.var('x')
- return { 'ogf': [((((1+(5*x))-x**2-(6*x**3))+(3*x**4))/(1-x)**5)] }
-
-
-
-def A188482():
- x = SR.var('x')
- return { 'ogf': [(((2-(7*x)-(4*x**2))+(x*sqrt((1-(4*x)))))/((2-(14*x))+(16*x**2)+(30*x**3)+(8*x**4)))] }
-
-
-
-def A188491():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3+x**2)-1)*(x**3+(2*x**2)+x+1))/(((x**13+(3*x**12)+(3*x**11)+(5*x**10)+(9*x**9)+(7*x**8))-(3*x**7)-(19*x**6)-(21*x**5)-(13*x**4)-(3*x**3)-(3*x**2)-x)+1)))] }
-
-
-
-def A188492():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x**2+(2*x)+1))/(((x**13+(3*x**12)+(3*x**11)+(5*x**10)+(9*x**9)+(7*x**8))-(3*x**7)-(19*x**6)-(21*x**5)-(13*x**4)-(3*x**3)-(3*x**2)-x)+1))] }
-
-
-
-def A188493():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**10+(2*x**9)+(2*x**7)+(4*x**6))-(2*x**5)-(6*x**4)-(9*x**3)-(2*x**2))+(2*x)+2)*x**2)/((((x**14+(2*x**13)+(2*x**11)+(4*x**10))-(2*x**9)-(10*x**8)-(16*x**7)-(2*x**6))+(8*x**5)+(10*x**4)+(2*x**2)+(2*x))-1)))] }
-
-
-
-def A188494():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**6+x**5)-x**4-x**3-x**2)+x+1))/(((x**13+(3*x**12)+(3*x**11)+(5*x**10)+(9*x**9)+(7*x**8))-(3*x**7)-(19*x**6)-(21*x**5)-(13*x**4)-(3*x**3)-(3*x**2)-x)+1))] }
-
-
-
-def A188495():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(((x**6+x**5)-x**4-x**3-x**2-x)+1))/((x-1)*(((x**13+(3*x**12)+(3*x**11)+(5*x**10)+(9*x**9)+(7*x**8))-(3*x**7)-(19*x**6)-(21*x**5)-(13*x**4)-(3*x**3)-(3*x**2)-x)+1))))] }
-
-
-
-def A188496():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x)+2))/(((x**13+(3*x**12)+(3*x**11)+(5*x**10)+(9*x**9)+(7*x**8))-(3*x**7)-(19*x**6)-(21*x**5)-(13*x**4)-(3*x**3)-(3*x**2)-x)+1))] }
-
-
-
-def A188497():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((x**9+(2*x**8))-(2*x**4)-(2*x**3)-(5*x**2))+2))/((x-1)*(((x**13+(3*x**12)+(3*x**11)+(5*x**10)+(9*x**9)+(7*x**8))-(3*x**7)-(19*x**6)-(21*x**5)-(13*x**4)-(3*x**3)-(3*x**2)-x)+1))))] }
-
-
-
-def A188498():
- x = SR.var('x')
- return { 'ogf': [(-((((x**10+(2*x**9)+x**8)-(2*x**6)-(2*x**5)-(2*x**4)-(3*x**3))+x)/((((x**14+(2*x**13)+(2*x**11)+(4*x**10))-(2*x**9)-(10*x**8)-(16*x**7)-(2*x**6))+(8*x**5)+(10*x**4)+(2*x**2)+(2*x))-1)))] }
-
-
-
-def A188510():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**4)**2)/((1-x**2)*(1-x**8))),
-(x/(1-(x**2/(1+((2*x**2)/(1-x**2))))))] }
-
-
-
-def A188517():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((-7)+(79*x**2))-(36*x**3)-(269*x**4))+(199*x**5)+(422*x**6))-(446*x**7)-(410*x**8))+(468*x**9)+(269*x**10))-(264*x**11)-(109*x**12))+(84*x**13)+(23*x**14))-(14*x**15)-(2*x**16))+x**17))/((x-1)*((x**2-(3*x))+1)*(x**2-x-1)*((x**3-(2*x**2)-x)+1)*(((x**4+x**3)-(3*x**2)-(3*x))+1)*(1+x)**2*((x**2+x)-1)**2)))] }
-
-
-
-def A188530():
- x = SR.var('x')
- return { 'ogf': [((x*(((-2)-(7*x))+(12*x**2)))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A188551():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x**2)*((x**2-x)+1)*(x**3-x-1))/((x**4+x**3+x**2+x+1)**2*(x-1)**3))] }
-
-
-
-def A188554():
- x = SR.var('x')
- return { 'ogf': [((x*(((4-(9*x))+(8*x**2))-(2*x**3)))/(1-x)**4)] }
-
-
-
-def A188571():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**2)-(2*x))+1))/((((8*x**4)-(16*x**3))+(4*x**2)+(4*x))-1)))] }
-
-
-
-def A188572():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(2*x)))/((((-1)+(4*x)+(4*x**2))-(16*x**3))+(8*x**4)))] }
-
-
-
-def A188578():
- x = SR.var('x')
- return { 'ogf': [(((1-x**3)*(1-x**5)*(1-x**6))/(1-x**15)),
-(((1-x)**2*(1+x)*(1+x+x**2)*((1-x)+x**2))/((((((1-x)+x**3)-x**4)+x**5)-x**7)+x**8))] }
-
-
-
-def A188580():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+x**4)/(1-(4*x)-(4*x**2)-(4*x**3)-(4*x**4)))] }
-
-
-
-def A188599():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(6*x))+(25*x**2)))] }
-
-
-
-def A188622():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x))*sqrt((1-(4*x)))))] }
-
-
-
-def A188626():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(2*x**2)+x**3))/(((2*x)-1)**2*(x-1)**2))] }
-
-
-
-def A188652():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-1)-(3*x))+x**2+x**3))/((x-1)**2*(1+x)**3)))] }
-
-
-
-def A188653():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(3*x))+x**2+x**3))/((x-1)*(1+x)**3))] }
-
-
-
-def A188667():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*(x**2-(2*x)-1))/(x-1)**5)] }
-
-
-
-def A188696():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((((1-(26*x))+x**2)-(26*x**3))+(2*x**4)))] }
-
-
-
-def A188697():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/((((1-(26*x))+(2*x**2))-(52*x**3))+(4*x**4)))] }
-
-
-
-def A188707():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(4*x)))/((1-(5*x))+(3*x**2)))] }
-
-
-
-def A188714():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3)/(1-(3*x)-(3*x**2)-(3*x**3)))] }
-
-
-
-def A188716():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))+(11*x**2))-(8*x**3))/((1-x)**2*(1-(2*x))**2))] }
-
-
-
-def A188765():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+(2*x**3)+(3*x**4)+(2*x**5)+x**6)/(1-x-x**2-x**4-(2*x**5)-(2*x**6)-x**7))] }
-
-
-
-def A188778():
- x = SR.var('x')
- return { 'ogf': [((4*x**3*(7+(10*x)+(5*x**2)))/((1-x)**5*(1+x)))] }
-
-
-
-def A188779():
- x = SR.var('x')
- return { 'ogf': [((8*x**3*(3+(29*x)+(63*x**2)+(43*x**3)+(14*x**4)))/((1-x)**6*(1+x)**2))] }
-
-
-
-def A188780():
- x = SR.var('x')
- return { 'ogf': [((8*x**3*(1+(69*x)+(394*x**2)+(790*x**3)+(829*x**4)+(357*x**5)+(84*x**6)))/((1-x)**7*(1+x)**3))] }
-
-
-
-def A188781():
- x = SR.var('x')
- return { 'ogf': [((8*x**4*(105+(1558*x)+(6383*x**2)+(13396*x**3)+(14367*x**4)+(9654*x**5)+(2937*x**6)+(528*x**7)))/((1-x)**8*(1+x)**4))] }
-
-
-
-def A188782():
- x = SR.var('x')
- return { 'ogf': [((16*x**4*(49+(2335*x)+(18119*x**2)+(65761*x**3)+(125593*x**4)+(154411*x**5)+(109333*x**6)+(52763*x**7)+(12090*x**8)+(1722*x**9)))/((1-x)**9*(1+x)**5))] }
-
-
-
-def A188783():
- x = SR.var('x')
- return { 'ogf': [((8*x**4*(48+(10841*x)+(164036*x**2)+(980511*x**3)+(2981932*x**4)+(5786766*x**5)+(6924788*x**6)+(5849090*x**7)+(3007252*x**8)+(1111577*x**9)+(201048*x**10)+(23391*x**11)))/((1-x)**10*(1+x)**6))] }
-
-
-
-def A188899():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((x**2-(5*x))+1))/((((x**4-(11*x**3))+(25*x**2))-(11*x))+1))] }
-
-
-
-def A188947():
- x = SR.var('x')
- return { 'ogf': [((-(x*((((-2)+(3*x))-(8*x**2))+x**3)))/(x-1)**4)] }
-
-
-
-def A189003():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(1+x)*(((x**4+x**3)-(6*x**2))+x+1))/(((((-x**8)+(15*x**6))-(32*x**4))+(15*x**2))-1))] }
-
-
-
-def A189004():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**14-x**13-(35*x**12))+(277*x**10)+(49*x**9))-(727*x**8)-(112*x**7))+(727*x**6)+(49*x**5))-(277*x**4))+(35*x**2))-x-1)/((((((((x**16-(56*x**14))+(672*x**12))-(2632*x**10))+(4094*x**8))-(2632*x**6))+(672*x**4))-(56*x**2))+1)))] }
-
-
-
-def A189005():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((((((x**30+x**29)-(154*x**28))+(6777*x**26))-(1440*x**25)-(123961*x**24))+(26752*x**23)+(1132714*x**22))-(185889*x**21)-(5684515*x**20))+(574750*x**19)+(16401668*x**18))-(708928*x**17)-(27757938*x**16))+(27757938*x**14)+(708928*x**13))-(16401668*x**12)-(574750*x**11))+(5684515*x**10)+(185889*x**9))-(1132714*x**8)-(26752*x**7))+(123961*x**6)+(1440*x**5))-(6777*x**4))+(154*x**2))-x-1)/((((((((((((((((x**32-(209*x**30))+(11936*x**28))-(274208*x**26))+(3112032*x**24))-(19456019*x**22))+(70651107*x**20))-(152325888*x**18))+(196664896*x**16))-(152325888*x**14))+(70651107*x**12))-(19456019*x**10))+(3112032*x**8))-(274208*x**6))+(11936*x**4))-(209*x**2))+1)))] }
-
-
-
-def A189050():
- x = SR.var('x')
- return { 'ogf': [(-((x*(3+x+x**2+x**3))/((-1)+(2*x**2)+x**4)))] }
-
-
-
-def A189052():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1-x))/((1+x)*(1-(2*x))**3))] }
-
-
-
-def A189053():
- x = SR.var('x')
- return { 'ogf': [(sqrt((1-(4*x**2)))/((((16*x**4)+(sqrt((1-(4*x**2)))*((4*x**3)-x)))-(8*x**2))+1))] }
-
-
-
-def A189101():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x+x**2+x**3+x**4+x**6+x**7)))] }
-
-
-
-def A189145():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1-(2*x))+(4*x**2)+x**3+(3*x**5)+x**7)-(6*x**4)-(3*x**6)))/((x-1)*(1+x)*((x**2-(3*x))+1)*(x**4+(3*x**2)+1))))] }
-
-
-
-def A189146():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((((((((((((((((((((((((1-(8*x)-(53*x**2))+(336*x**3)+(134*x**4)+(2846*x**5)+(19852*x**6))-(260036*x**7))+(6880*x**8)+(1292304*x**9))-(4702832*x**10))+(63471872*x**11))-(41560704*x**12)-(709453568*x**13))+(1351929600*x**14))-(3.128104192E9*x**15)-(659457024*x**16))+(7.0691011072E10*x**17))-(1.06136367104E11*x**18)-(1.32922614784E11*x**19))+(3.18303350784E11*x**20))-(2.065904152576E12*x**21))+(3.225670889472E12*x**22)+(1.0372375166976E13*x**23))-(1.1884683280384E13*x**24))+(8.21650128896E11*x**25))-(7.0221817905152E13*x**26)-(1.22303538593792E14*x**27))+(4.155696545792E14*x**28)+(3.88617697755136E14*x**29))-(4.57567875104768E14*x**30))+(1.22123978801152E14*x**31))-(1.34229549645824E14*x**32)-(7.331344765943808E15*x**33)-(2.581369716736E15*x**34))+(2.8061409178812416E16*x**35)+(3.07433725493248E15*x**36))-(2.7158215842070528E16*x**37))+(1.691690175823872E16*x**38))-(8.637373579526144E15*x**39)-(4.249072349216768E16*x**40)-(2.00005314030862336E17*x**41))+(1.76918825432776704E17*x**42)+(7.0572514606055424E17*x**43))-(3.6230983463416627E17*x**44)-(1.00731812754279629E18*x**45))+(2.22508717868843008E17*x**46)+(1.43913537643321754E18*x**47))-(1.22504946738895258E18*x**48)-(2.73971909362712576E17*x**49))+(2.01099797110928179E18*x**50))-(2.0117720272952361E18*x**51))+(1.45522562959409152E17*x**52)+(5.348024557502464E17*x**53)+(2.251799813685248E16*x**54))-(2.8823037615171174E17*x**55))+(1.44115188075855872E17*x**56))/((((((((((((((((((((((((((((((((((((((((-1)+(9*x)+(48*x**2))-(371*x**3))+(173*x**4))-(4636*x**5)-(21700*x**6))+(321034*x**7))-(261016*x**8)-(939316*x**9))+(8804712*x**10))-(89239632*x**11))+(89709648*x**12)+(830637056*x**13))-(2.499914752E9*x**14))+(6.390654336E9*x**15))-(987233536*x**16)-(9.849586688E10*x**17))+(2.27291122176E11*x**18))-(2.2499119616E10*x**19)-(5.74642074624E11*x**20))+(4.090433287168E12*x**21))-(8.71099964416E12*x**22)-(9.262792159232E12*x**23))+(3.3961426997248E13*x**24))-(5.9705619185664E13*x**25))+(1.64268932415488E14*x**26)+(2.06996041138176E14*x**27))-(9.59952477028352E14*x**28))+(1.48261211865088E14*x**29)+(2.25201818959872E14*x**30))-(5.2876546408448E14*x**31))+(2.794884482203648E15*x**32)+(3.264721555816448E15*x**33)+(9.397359024799744E15*x**34))-(3.2363504358916096E16*x**35)-(1.4560459025809408E16*x**36))+(4.1205664512475136E16*x**37))-(6.5070379105779712E16*x**38))+(1.17763114509795328E17*x**39))-(2.6803976066301952E16*x**40))+(1.32124530591137792E17*x**41)+(2.36469835482005504E17*x**42))-(1.30875868922563789E18*x**43))+(3.8229868114922701E17*x**44)+(1.68878650090638541E18*x**45))-(1.09276722345122202E18*x**46)-(1.77451940825373082E18*x**47))+(3.7816712876890522E18*x**48))-(2.1169996881199104E17*x**49)-(6.4144013028638065E18*x**50))+(3.7378469532291564E18*x**51)+(2.5109678984915845E18*x**52)+(7.4056066372573594E17*x**53))-(4.4157794346367713E18*x**54))+(2.5085049924453663E18*x**55)+(5.4043195528445952E16*x**56))-(1.15292150460684698E18*x**57))+(5.7646075230342349E17*x**58))))] }
-
-
-
-def A189176():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))+(4*x**2))-((1-(5*x))*sqrt((1-(4*x)))))/(2*x*(1-(4*x))))] }
-
-
-
-def A189177():
- x = SR.var('x')
- return { 'ogf': [(((2-(9*x))+(3*x**2)+(4*x**3)+((x+(3*x**2))*sqrt((1-(4*x)))))/(2*(1-(4*x))*((1-x)+x**3)))] }
-
-
-
-def A189182():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((((((((1-(114*x)-(8404*x**2))+(452720*x**3)+(17538672*x**4))-(555155552*x**5)-(1.4506192288E10*x**6))+(2.97522132352E11*x**7)+(5.81095524736E12*x**8))-(7.7927468499968E13*x**9)-(1.23082740069888E15*x**10))+(1.0139196103077888E16*x**11)+(1.4956662813646848E17*x**12))-(5.5735828170781082E17*x**13)-(1.0843389941491864E19*x**14)-(5.3100406422409052E18*x**15))+(4.5598664637708186E20*x**16)+(2.047404517133439E21*x**17))-(9.189873733410208E21*x**18)-(8.826801259605063E22*x**19)-(6.448621366095174E21*x**20))+(1.37870397572857E24*x**21)+(3.0882769686547074E24*x**22))-(2.4706287119596696E24*x**23)-(2.87678834209115E25*x**24)-(8.651475918321242E25*x**25)-(7.221153146611954E25*x**26)-(5.126726629359348E25*x**27)-(2.1896219676555563E26*x**28))+(2.4519362353181074E27*x**29)+(7.612818543369497E27*x**30)+(6.898474527655796E27*x**31)+(1.7613827920282094E27*x**32))-(4.476361109374939E28*x**33)-(4.850182262120324E28*x**34)-(1.3094996240823569E28*x**35)-(4.0738215697505865E28*x**36))+(9.774800426738104E28*x**37))-(2.3263335095947805E28*x**38)-(1.5538212753033718E29*x**39)-(3.925980101963057E28*x**40))+(9.865284739060108E28*x**41)+(1.61478541720282E29*x**42)+(1.0419871425349186E29*x**43)+(4.039829944177699E28*x**44)+(7.35036957998393E27*x**45))-(2.3233990515836095E28*x**46)-(2.9533799958373726E28*x**47)-(7.832192715239216E27*x**48))+(8.643826389423046E26*x**49)+(2.994153011663885E26*x**50)+(1.3505968141007185E26*x**51))/((((((((((((((((((((-1)+(114*x)+(9317*x**2))-(508866*x**3)-(20910348*x**4))+(704525664*x**5)+(1.9358697488E10*x**6))-(4.28304917728E11*x**7)-(8.87960109424E12*x**8))+(1.2985333214272E14*x**9)+(2.190323609648896E15*x**10))-(2.057417231854848E16*x**11)-(3.146061623995735E17*x**12))+(1.59803791111925043E18*x**13)+(2.7684023072295866E19*x**14))-(3.2346791780760007E19*x**15)-(1.4996847173244053E21*x**16)-(3.695155586595908E21*x**17))+(4.658369766872244E22*x**18)+(2.9021956252173257E23*x**19))-(5.9390548060306935E23*x**20)-(8.401632685478568E24*x**21)-(6.539590799133706E24*x**22))+(9.634812615565276E25*x**23)+(2.6441746314691224E26*x**24)+(1.2682495240626E25*x**25))-(1.7442384288700588E27*x**26)-(5.693069153240876E27*x**27)-(4.5644343825398624E27*x**28)-(7.943580772549846E27*x**29)-(3.1586327988680905E28*x**30))+(1.4376615398215484E29*x**31)+(5.116237932916408E29*x**32)+(5.5117859332235766E29*x**33)+(2.0285480235124137E29*x**34))-(2.9059576483880005E30*x**35)-(3.155337356481894E30*x**36)-(1.0428224583061882E30*x**37)-(2.453052645713081E30*x**38))+(6.77872145654617E30*x**39))-(1.5043061348130894E30*x**40)-(1.0352521978401585E31*x**41)-(3.0165653826170026E30*x**42))+(6.150339155711868E30*x**43)+(1.0412506380362097E31*x**44)+(6.806793406325596E30*x**45)+(2.7217243522751526E30*x**46)+(5.695263465860616E29*x**47))-(1.4775177480513412E30*x**48)-(1.9127610631298752E30*x**49)-(5.0815607424902666E29*x**50))+(5.406680555307938E28*x**51)+(1.9155126199747275E28*x**52)+(8.773476904398268E27*x**53))))] }
-
-
-
-def A189234():
- x = SR.var('x')
- return { 'ogf': [(((5-(4*x)-(12*x**2))+(6*x**3)+(3*x**4))/(((1-x-(4*x**2))+(3*x**3)+(3*x**4))-x**5))] }
-
-
-
-def A189235():
- x = SR.var('x')
- return { 'ogf': [((((5-(16*x))+(6*x**2)+(10*x**3))-(2*x**4))/(((1-(4*x))+(2*x**2)+(5*x**3))-(2*x**4)-x**5))] }
-
-
-
-def A189236():
- x = SR.var('x')
- return { 'ogf': [(((5-(8*x)-(15*x**2))+(4*x**3)+(4*x**4))/((1-(2*x)-(5*x**2))+(2*x**3)+(4*x**4)+x**5))] }
-
-
-
-def A189237():
- x = SR.var('x')
- return { 'ogf': [(((5-(12*x)-(9*x**2))+(8*x**3)+x**4)/(((1-(3*x)-(3*x**2))+(4*x**3)+x**4)-x**5))] }
-
-
-
-def A189315():
- x = SR.var('x')
- return { 'ogf': [((5*((1-(3*x))+x**2))/((1-(5*x))+(5*x**2)))] }
-
-
-
-def A189316():
- x = SR.var('x')
- return { 'ogf': [((5*(1-x-x**2))/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A189317():
- x = SR.var('x')
- return { 'ogf': [((5*((1-(6*x))+x**2))/((1-(10*x))+(5*x**2)))] }
-
-
-
-def A189318():
- x = SR.var('x')
- return { 'ogf': [((5*(1-(2*x)))/((1-(3*x)-(2*x**2))+(4*x**3)))] }
-
-
-
-def A189334():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+x**2)/((1-(10*x))+(5*x**2)))] }
-
-
-
-def A189345():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(1+(116*x)+(606*x**2)+(116*x**3)+x**4))/(1-x)**9)] }
-
-
-
-def A189390():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-sqrt((1-(4*x**2))))+1)/(2*((2*x)-1)**2))] }
-
-
-
-def A189391():
- x = SR.var('x')
- return { 'ogf': [((((2*x)+sqrt((1-(4*x**2))))-1)/(2*((2*x)-1)**2))] }
-
-
-
-def A189426():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(2*x)-x**2)+x**3)**2)] }
-
-
-
-def A189427():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-x)*((1-(2*x)-x**2)+x**3)**2))] }
-
-
-
-def A189442():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*(x**4-(2*x)-1)*(1+x)**2)/(x**4+1)**2)] }
-
-
-
-def A189600():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x**2+x**3+x**4+x**5+x**6+x**7))/((x**2+1)*((x**6+x**5+x**2+x)-1))))] }
-
-
-
-def A189604():
- x = SR.var('x')
- return { 'ogf': [((x+(3*x**2))/(1-(3*x)-(2*x**2)))] }
-
-
-
-def A189732():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(1-x-(5*x**2)))] }
-
-
-
-def A189734():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/(1-(2*x)-(5*x**2)))] }
-
-
-
-def A189737():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1-(2*x)))/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A189738():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(5*x)))/(1-(3*x)-(4*x**2)))] }
-
-
-
-def A189739():
- x = SR.var('x')
- return { 'ogf': [((x*(3-(4*x)))/(1-(3*x)-(5*x**2)))] }
-
-
-
-def A189740():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**3)+x**2)-1))/((x-1)*((x**4+x**3+x**2+x)-1))))] }
-
-
-
-def A189741():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-(7*x)))/(1-(4*x)-(2*x**2)))] }
-
-
-
-def A189742():
- x = SR.var('x')
- return { 'ogf': [((x*(4-(13*x)))/(1-(4*x)-(3*x**2)))] }
-
-
-
-def A189743():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1-(3*x)))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A189744():
- x = SR.var('x')
- return { 'ogf': [((x*(4-(11*x)))/(1-(4*x)-(5*x**2)))] }
-
-
-
-def A189745():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(24*x)))/(1-(5*x)-x**2))] }
-
-
-
-def A189746():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(23*x)))/(1-(5*x)-(2*x**2)))] }
-
-
-
-def A189747():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(22*x)))/(1-(5*x)-(3*x**2)))] }
-
-
-
-def A189748():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(21*x)))/(1-(5*x)-(4*x**2)))] }
-
-
-
-def A189749():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1-(4*x)))/(1-(5*x)-(5*x**2)))] }
-
-
-
-def A189761():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**8+x**7)-x**6-(2*x**5)-(3*x**4)-(2*x**3))+(2*x)+1))/((x**2-x-1)*((x**2+x)-1)))] }
-
-
-
-def A189789():
- x = SR.var('x')
- return { 'ogf': [((1152*x**8*((35*x**23)+(21178*x**22)+(27889*x**21)+(2133348*x**20)+(3081175*x**19)+(51948910*x**18)+(72476645*x**17)+(469213640*x**16)+(538879520*x**15)+(1803221880*x**14)+(1580004720*x**13)+(3.146148264E9*x**12)+(2014875632*x**11)+(2.544618104E9*x**10)+(1144092320*x**9)+(933224520*x**8)+(278242005*x**7)+(143723790*x**6)+(25756935*x**5)+(7854820*x**4)+(693025*x**3)+(104538*x**2)+(2579*x)+128))/((1-x)**17*(x+1)**15))] }
-
-
-
-def A189800():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(2*x*(3+(4*x)))))] }
-
-
-
-def A189801():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(6*x)+(9*x**2))))] }
-
-
-
-def A189826():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((2-(19*x))+(89*x**2))-(235*x**3))+(329*x**4))-(210*x**5))+(36*x**6)))/(((3*x)-1)**2*((2*x)-1)**2*(x-1)**3)))] }
-
-
-
-def A189834():
- x = SR.var('x')
- return { 'ogf': [((((-9)+(17*x))-(10*x**2))/(x-1)**3)] }
-
-
-
-def A189887():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**6+x**5+x**4)-x**3)+(2*x**2))-x)+1))/((x-1)**2*(x**2+1)))] }
-
-
-
-def A189889():
- x = SR.var('x')
- return { 'ogf': [((x*((((-x**7)+x**6+x**5+(3*x**3))-x**2)+1))/((((((-x**7)+x**6+x**5)-x**4)+x**3)-x**2-x)+1))] }
-
-
-
-def A189890():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-2)+(4*x))-(6*x**2))+x**3))/(x-1)**4))] }
-
-
-
-def A189894():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(2+(17*x)+(14*x**2)))/((1+x)*(x-1)**5)))] }
-
-
-
-def A189976():
- x = SR.var('x')
- return { 'ogf': [(-(x**8/((x-1)**5*(x+1)**4)))] }
-
-
-
-def A189980():
- x = SR.var('x')
- return { 'ogf': [(x**10/((x-1)**6*(x+1)**5))] }
-
-
-
-def A190005():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(6*x)+(10*x**2))))] }
-
-
-
-def A190018():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**16+(2*x**15)+(4*x**14)+(5*x**13)+(3*x**12)+x**11)-(4*x**10)-(7*x**9)-(10*x**8)-(12*x**7)-(14*x**6)-(14*x**5)-(12*x**4)-(10*x**3)-(6*x**2)-(3*x)-1))/((x+1)*(x**2+1)*(x**4+1)*((x**4+x**2)-1)*(x**4-x**2-1))))] }
-
-
-
-def A190048():
- x = SR.var('x')
- return { 'ogf': [((8+(6*x))/(1-x)**5)] }
-
-
-
-def A190049():
- x = SR.var('x')
- return { 'ogf': [((16+(24*x)+(2*x**2))/(x-1)**6)] }
-
-
-
-def A190050():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((3*x**2)-(3*x))+1))/(1-(2*x))**3)] }
-
-
-
-def A190051():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((((10*x**4)-(20*x**3))+(16*x**2))-(6*x))+1))/(1-(2*x))**5)] }
-
-
-
-def A190062():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/((1-x)*(1-x-x**2)**2))] }
-
-
-
-def A190089():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/(1-(5*x)-(2*x**2)-x**3))] }
-
-
-
-def A190090():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**4)/(((1-(2*x)-(2*x**2)-(6*x**3))+(3*x**4))-x**6))] }
-
-
-
-def A190139():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(2*x)-x**2-x**3-x**4))] }
-
-
-
-def A190140():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-x**2-(3*x**3)))] }
-
-
-
-def A190153():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/(1-(5*x)-(2*x**2)-x**3))] }
-
-
-
-def A190154():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+x+x**3)-x**4)+(2*x**2))/((((x**3-(3*x**2))+(4*x))-1)*(x**3+(3*x**2)+(2*x)+1)))] }
-
-
-
-def A190156():
- x = SR.var('x')
- return { 'ogf': [((1-x-(3*x**2)-sqrt(((1-(2*x)-(5*x**2))+(2*x**3)+x**4)))/(2*x**3*(1+(2*x))))] }
-
-
-
-def A190166():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-x)+x**2)*sqrt(((1+x+x**2)*((1-(3*x))+x**2)))))] }
-
-
-
-def A190169():
- x = SR.var('x')
- return { 'ogf': [((((((1-(2*x))+x**2)-(2*x**3))+x**4)/(2*x*((1-x)+x**2)*sqrt(((1+x+x**2)*((1-(3*x))+x**2)))))-(1/(2*x)))] }
-
-
-
-def A190173():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x)-x**2))/((1-x)*(1+x)*(1-x-x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A190176():
- x = SR.var('x')
- return { 'ogf': [((((((-32)+(62*x))-(118*x**2))+(58*x**3))-(18*x**4))/(x-1)**5)] }
-
-
-
-def A190254():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(3*x)+sqrt((1-(2*x)-(3*x**2)-(4*x**3))))/(2*x*(1-(3*x)-x**2)))] }
-
-
-
-def A190277():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)-(2*x**2)))/((1-(3*x)-x**2)+(3*x**3)+(2*x**4)))] }
-
-
-
-def A190322():
- x = SR.var('x')
- return { 'ogf': [(-((x*((15*x**3)-(8*x**2)-(8*x)-1))/((x-1)**2*(x**2+x+1))))] }
-
-
-
-def A190331():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(8*x)+(2*x**2))))] }
-
-
-
-def A190395():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*(((3*x**5)-(7*x**4))+(4*x**3)+(17*x**2)+(12*x)+1))/(x-1)**7))] }
-
-
-
-def A190396():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((2*x**9)-(22*x**8))+(50*x**7)+(78*x**6))-(89*x**5)-(245*x**4))+(1224*x**3)+(612*x**2)+(69*x)+1))/(x-1)**9))] }
-
-
-
-def A190397():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((((((8*x**12)-(60*x**11))+(75*x**10)+(24*x**9)+(441*x**8))-(1948*x**7)-(893*x**6))+(4122*x**5))-(8491*x**4)-(15988*x**3)-(6822*x**2)-(694*x)-14))/((x-1)**11*(x+1)))] }
-
-
-
-def A190398():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*(((((3*x**8)-(17*x**7))+(37*x**6))-(35*x**5))+(11*x**4)+(19*x**2)+(11*x)+1))/(x-1)**7))] }
-
-
-
-def A190399():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((((80*x**14)-(444*x**13))+(768*x**12)+(108*x**11))-(1824*x**10))+(1600*x**9)+(1025*x**8))-(1200*x**7))+(708*x**6)+(1772*x**5)+(7254*x**4)+(2788*x**3)+(756*x**2)+(48*x)+1))/((x-1)**9*(x+1)**3)))] }
-
-
-
-def A190400():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*((((((((144*x**18)-(874*x**17))+(1356*x**16)+(2195*x**15))-(8778*x**14))+(4282*x**13)+(16170*x**12))-(23696*x**11)-(5686*x**10))+(36079*x**9))-(33008*x**8)-(33909*x**7)-(13310*x**6)-(61448*x**5)-(197358*x**4)-(109070*x**3)-(50114*x**2)-(6327*x)-488))/((x-1)**11*(x+1)**5))] }
-
-
-
-def A190401():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**4*(((((((((128*x**24)-(768*x**23)-(8*x**22))+(9258*x**21))-(17442*x**20)-(25593*x**19))+(103542*x**18))-(19695*x**17)-(252858*x**16))+(225766*x**15)+(297416*x**14))-(465166*x**13)-(63474*x**12))+(488076*x**11)+(515008*x**10)+(582376*x**9)+(2358586*x**8)+(2976026*x**7)+(6280504*x**6)+(4731396*x**5)+(2785972*x**4)+(664045*x**3)+(111570*x**2)+(4199*x)+96))/((x-1)**13*(x+1)**7)))] }
-
-
-
-def A190441():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(4*x)-(39*x**2)))] }
-
-
-
-def A190510():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(8*x)+(4*x**2))))] }
-
-
-
-def A190512():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1-(2*x)-x**3))] }
-
-
-
-def A190525():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)+x**3)/(((1-(2*x)-x**2)+x**3)-x**4))] }
-
-
-
-def A190531():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((-2)+(19*x))-(73*x**2))+(145*x**3))-(153*x**4))+(68*x**5)))/((x-1)**2*((3*x)-1)**2*((2*x)-1)**2)))] }
-
-
-
-def A190540():
- x = SR.var('x')
- return { 'ogf': [((5*x)/((1-(2*x))*(1-(7*x))))] }
-
-
-
-def A190541():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(3*x))*(1-(7*x))))] }
-
-
-
-def A190543():
- x = SR.var('x')
- return { 'ogf': [((5*x)/((1-(3*x))*(1-(8*x))))] }
-
-
-
-def A190560():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(8*x)+(6*x**2))))] }
-
-
-
-def A190567():
- x = SR.var('x')
- return { 'ogf': [((311+x+(76*x**2)+x**3+(311*x**4))/(1-x**4))] }
-
-
-
-def A190569():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(2*x**2))/((1-(2*x))*(1+x**2)))] }
-
-
-
-def A190570():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-(2*x**2))+(2*x**3)))/(((1-(2*x)-x**2)+(2*x**3))-(2*x**4)))] }
-
-
-
-def A190571():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-(2*x**3))+(2*x**4)))/(((1-(2*x)-x**2)+(2*x**4))-(2*x**5)))] }
-
-
-
-def A190576():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(6*x))+(5*x**2)))/(x-1)**3)] }
-
-
-
-def A190577():
- x = SR.var('x')
- return { 'ogf': [((3*x*((((5*x**3)-(25*x**2))+(47*x))-35))/(x-1)**5)] }
-
-
-
-def A190579():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((((((8*x**18)-(59*x**17))+(110*x**16)+(71*x**15)+(473*x**14))-(3017*x**13)-(5401*x**12))+(23838*x**11))-(2727*x**10)-(119474*x**9)-(45545*x**8)-(20157*x**7)-(571677*x**6)-(1006961*x**5)-(689547*x**4)-(199704*x**3)-(20861*x**2)-(489*x)-1))/((x-1)**13*(x+1)**3))] }
-
-
-
-def A190586():
- x = SR.var('x')
- return { 'ogf': [((1/(2*x*((1-(2*x)-x**2)+x**3)*(1-(2*x)-(2*x**3))))*(((1-(2*x))*(1-x)*sqrt(((1-x-x**3)**2-(4*x**4))))-((1+x)*(((((1-(7*x))+(14*x**2))-(11*x**3))+(10*x**4))-(4*x**5)))))] }
-
-
-
-def A190587():
- x = SR.var('x')
- return { 'ogf': [(((((((1-x)*sqrt(((1-x-x**3)**2-(4*x**4))))-1)+(3*x))-x**2)+x**3+x**4)/(x*(1-(2*x)-(2*x**3))))] }
-
-
-
-def A190636():
- x = SR.var('x')
- return { 'ogf': [((x**7+(90*x**6)+(891*x**5)+(1816*x**4)+(891*x**3)+(90*x**2)+x)/(x-1)**8)] }
-
-
-
-def A190666():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(3*x))-x**2)+((((1-(6*x))+(6*x**2))-x**3)/sqrt(((x**2-(6*x))+1))))/(2*x**3))] }
-
-
-
-def A190716():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x)+(4*x**2))-(2*x**3))+(3*x**4)))/(1-x**2)**3)] }
-
-
-
-def A190717():
- x = SR.var('x')
- return { 'ogf': [(1/((x-1)**4*(x**2+x+1)**3))] }
-
-
-
-def A190718():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**3*(1+x**2)**3*(x-1)**4))] }
-
-
-
-def A190719():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(2*x**2)+(2*x**3)+x**4+(3*x**5)+x**6))/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A190724():
- x = SR.var('x')
- return { 'ogf': [(((1-(7*x))+sqrt(((1-(6*x))+x**2)))/((2-(12*x))*sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A190725():
- x = SR.var('x')
- return { 'ogf': [(((3+(3*x))-sqrt(((1-(6*x))+x**2)))/(2*(1+(3*x)+x**2)*sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A190730():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-3)+(2*x)+(4*x**2)))/(((2*x)-1)**2*(x-1)**2)))] }
-
-
-
-def A190736():
- x = SR.var('x')
- return { 'ogf': [((4-(5*x)-(2*x**2)-((2+x)*sqrt(((1-(8*x))+(4*x**2)))))/(2*((1-x)+(2*x**2)+x**3)))] }
-
-
-
-def A190737():
- x = SR.var('x')
- return { 'ogf': [((1-x-(2*x**2)-sqrt(((1-(6*x))+(5*x**2))))/(2*x*((1-(2*x))+x**2+x**3)))] }
-
-
-
-def A190759():
- x = SR.var('x')
- return { 'ogf': [((((((((20*x**12)+(40*x**11)+(18*x**10)+(52*x**9)+(35*x**8))-(26*x**7))+(34*x**6))-(4*x**5)-(21*x**4))+(2*x**3)+(9*x**2))-1)/((((((((((-(80*x**14))-(160*x**13))+(308*x**12))-(88*x**11)-(2*x**10))+(396*x**9))-(453*x**8)-(10*x**7))+(190*x**6))-(12*x**5)-(57*x**4))+(2*x**3)+(13*x**2))-1))] }
-
-
-
-def A190780():
- x = SR.var('x')
- return { 'ogf': [((((-131072)+(1765502*x))-(43513950*x**2)-(649478930*x**3)-(1.370190043E10*x**4)-(1.95088344234E11*x**5)-(1.536270678326E12*x**6)-(6.27776348233E12*x**7)-(1.290011757255E13*x**8)-(1.289693121223E13*x**9)-(6.280312570586E12*x**10)-(1.534648531254E12*x**11)-(1.9589941777E11*x**12)-(1.338994907E10*x**13)-(738607890*x**14)-(25688158*x**15)-(462722*x**16))/(x-1)**17)] }
-
-
-
-def A190785():
- x = SR.var('x')
- return { 'ogf': [((2+x+(2*x**2)+(2*x**3)+(2*x**4)+(2*x**5)+x**6)/((x**6+x**5+x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A190787():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(4*x)+(5*x**2)))/(1-(4*x**2)))] }
-
-
-
-def A190816():
- x = SR.var('x')
- return { 'ogf': [((((-(10*x**2))+x)-1)/(x-1)**3)] }
-
-
-
-def A190871():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(11*x))+(11*x**2)))] }
-
-
-
-def A190872():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(11*x))+(9*x**2)))] }
-
-
-
-def A190873():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(12*x))+(12*x**2)))] }
-
-
-
-def A190912():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2-(2*x**3)-(3*x**4)))/((x-1)*((x**5+x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A190913():
- x = SR.var('x')
- return { 'ogf': [((5-(3*x**2)-(6*x**3))/(((x**2+x)-1)*(x**3-x**2-x-1)))] }
-
-
-
-def A190943():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(8*x)-(27*x**2)))] }
-
-
-
-def A190949():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(6*x)+x**2))/(((1+(4*x))-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A190953():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(8*x)+(10*x**2))))] }
-
-
-
-def A190954():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(10*x)+(4*x**2))))] }
-
-
-
-def A190955():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(10*x)+(5*x**2))))] }
-
-
-
-def A190956():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(10*x)+(6*x**2))))] }
-
-
-
-def A190957():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(10*x)+(8*x**2))))] }
-
-
-
-def A190958():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x))+(10*x**2)))] }
-
-
-
-def A190959():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))+(5*x**2)))] }
-
-
-
-def A190960():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))+(6*x**2)))] }
-
-
-
-def A190961():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))+(7*x**2)))] }
-
-
-
-def A190962():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))+(8*x**2)))] }
-
-
-
-def A190963():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))+(9*x**2)))] }
-
-
-
-def A190964():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(3*x))+(10*x**2)))] }
-
-
-
-def A190965():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))+(6*x**2)))] }
-
-
-
-def A190966():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))+(8*x**2)))] }
-
-
-
-def A190967():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))+(9*x**2)))] }
-
-
-
-def A190968():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(4*x))+(10*x**2)))] }
-
-
-
-def A190969():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))+(8*x**2)))] }
-
-
-
-def A190970():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))+(9*x**2)))] }
-
-
-
-def A190971():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(5*x))+(10*x**2)))] }
-
-
-
-def A190972():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(7*x))+(3*x**2)))] }
-
-
-
-def A190973():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(7*x))+(4*x**2)))] }
-
-
-
-def A190974():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(7*x))+(5*x**2)))] }
-
-
-
-def A190975():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(2*x**2)))] }
-
-
-
-def A190976():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(3*x**2)))] }
-
-
-
-def A190977():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(5*x**2)))] }
-
-
-
-def A190978():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(8*x))+(6*x**2)))] }
-
-
-
-def A190980():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))+(3*x**2)))] }
-
-
-
-def A190981():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))+(4*x**2)))] }
-
-
-
-def A190982():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))+(5*x**2)))] }
-
-
-
-def A190983():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))+(6*x**2)))] }
-
-
-
-def A190984():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(9*x))+(7*x**2)))] }
-
-
-
-def A190985():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(3*x**2)))] }
-
-
-
-def A190986():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(4*x**2)))] }
-
-
-
-def A190987():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(5*x**2)))] }
-
-
-
-def A190988():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(6*x**2)))] }
-
-
-
-def A190989():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(7*x**2)))] }
-
-
-
-def A190990():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(10*x))+(8*x**2)))] }
-
-
-
-def A190994():
- x = SR.var('x')
- return { 'ogf': [((27-(25*x))/(1-x-x**2))] }
-
-
-
-def A190995():
- x = SR.var('x')
- return { 'ogf': [((9-(2*x))/(1-x-x**2))] }
-
-
-
-def A190996():
- x = SR.var('x')
- return { 'ogf': [((10-(3*x))/(1-x-x**2))] }
-
-
-
-def A191007():
- x = SR.var('x')
- return { 'ogf': [(3/((1+x)*(1-(2*x))**2))] }
-
-
-
-def A191012():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x**4)+(32*x**3)+(66*x**2)+(16*x)+1))/(1-x)**6)] }
-
-
-
-def A191014():
- x = SR.var('x')
- return { 'ogf': [(-(x/((-1)+(10*x)+(2*x**2))))] }
-
-
-
-def A191272():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(5*x)))/(1-(3*x)-(3*x**2)-(4*x**3)))] }
-
-
-
-def A191275():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)**2*((1-x)+x**2)*(1+x+x**2))/((1-x)**2*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A191276():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**2)*(((1+(2*x))-(2*x**2))+(2*x**3)+x**4))/((1-x)**2*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A191303():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((52029+(56580*x)+(30010*x**2))-(8636*x**3))+(1729*x**4)))/(x-1)**5))] }
-
-
-
-def A191307():
- x = SR.var('x')
- return { 'ogf': [((((1-x-x**2)*sqrt((1-(4*x**2))))-((1-(2*x))*((1+x)-x**2)))/(2*x**3*(1-x)*(1-(2*x))))] }
-
-
-
-def A191317():
- x = SR.var('x')
- return { 'ogf': [(((((sqrt((1-(2*x**2)-(3*x**4)))-1)+(2*x))-x**2)+(2*x**3))/(2*x*(((1-(2*x))+x**2)-x**3)))] }
-
-
-
-def A191341():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((11-(26*x))+(24*x**2)))/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A191349():
- x = SR.var('x')
- return { 'ogf': [sqrt((((1-(2*x))+x**2+x**3+sqrt(((((1-(4*x))+(6*x**2))-(6*x**3)-(11*x**4)-(2*x**5))+x**6)))/(2*((((1-(4*x))+(6*x**2))-(6*x**3)-(11*x**4)-(2*x**5))+x**6))))] }
-
-
-
-def A191354():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((1-(2*x)-(3*x**2)-(4*x**3))))] }
-
-
-
-def A191370():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(5*x**3))/(((2*x)-1)*(1+x)*((x**2-x)+1)))] }
-
-
-
-def A191393():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x**2))/((1-(2*x))+x**2+(2*x**3)+((1-x**2)*sqrt((1-(4*x**2))))))] }
-
-
-
-def A191413():
- x = SR.var('x')
- return { 'ogf': [((((13-(12*x))*x)-7)/(x-1)**3)] }
-
-
-
-def A191466():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(5*x))*(1-(9*x))))] }
-
-
-
-def A191467():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(7*x))*(1-(9*x))))] }
-
-
-
-def A191468():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(5*x))*(1-(8*x))))] }
-
-
-
-def A191484():
- x = SR.var('x')
- return { 'ogf': [(((16*x**4)+(41*x**3)+(51*x**2)+(11*x)+1)/((1-x)**6*(1+x)))] }
-
-
-
-def A191489():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(10*x)+1)*(x**4+(16*x**3)+(26*x**2)+(16*x)+1))/((1+x)*(1-x)**7))] }
-
-
-
-def A191494():
- x = SR.var('x')
- return { 'ogf': [((1+(57*x)+(666*x**2)+(1786*x**3)+(1821*x**4)+(645*x**5)+(64*x**6))/((1+x)*(x-1)**8))] }
-
-
-
-def A191495():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(120*x)-(2284*x**2)-(9928*x**3)-(15654*x**4)-(9928*x**5)-(2284*x**6)-(120*x**7)-x**8)/((1+x)*(x-1)**9))] }
-
-
-
-def A191496():
- x = SR.var('x')
- return { 'ogf': [((1+(247*x)+(7573*x**2)+(51379*x**3)+(122275*x**4)+(122149*x**5)+(51463*x**6)+(7537*x**7)+(256*x**8))/((1+x)*(1-x)**10))] }
-
-
-
-def A191519():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(2*x)-x**2)+sqrt((1-(2*x**2)-(3*x**4)))))] }
-
-
-
-def A191567():
- x = SR.var('x')
- return { 'ogf': [((x*(((-6)-(4*x)-(30*x**2)-(3*x**3)-(52*x**4)-(12*x**5)-(36*x**6)-x**7-(6*x**8))+(2*x**10)))/((x-1)**3*(1+x)**3*(x**2+1)**3))] }
-
-
-
-def A191584():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-x-(4*x**2))+(3*x**3)+(3*x**4)))] }
-
-
-
-def A191585():
- x = SR.var('x')
- return { 'ogf': [(((2-(11*x))+(12*x**2)+((2-(9*x))*sqrt((1-(4*x)))))/(2*(1-(4*x))*(2-(6*x)-(9*x**2))))] }
-
-
-
-def A191593():
- x = SR.var('x')
- return { 'ogf': [((1+(30*x)+(39*x**2)+(2*x**3))/(x-1)**4)] }
-
-
-
-def A191596():
- x = SR.var('x')
- return { 'ogf': [((1+x)**4/(1-x)**7)] }
-
-
-
-def A191605():
- x = SR.var('x')
- return { 'ogf': [((1/((1-(2*x)-(2*x**2))+(2*x**3)))*(((1+x)-x**3)+(x*(1-x)*sqrt(((1-x**4)/(1-(2*x)-x**2))))))] }
-
-
-
-def A191649():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((((x**4+(2*x**3))-x**2-(6*x))+1)))] }
-
-
-
-def A191680():
- x = SR.var('x')
- return { 'ogf': [((x*(256+(7537*x)+(51463*x**2)+(122149*x**3)+(122275*x**4)+(51379*x**5)+(7573*x**6)+(247*x**7)+x**8))/((1+x)*(x-1)**10))] }
-
-
-
-def A191681():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((x-1)*((9*x)-1)))] }
-
-
-
-def A191697():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(2+(3*x)))/(1-(2*x**2)-(2*x**3)))] }
-
-
-
-def A191721():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+x**3)/((1-x)*((1-(4*x)-x**2)+x**3)))] }
-
-
-
-def A191759():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(5*x**2)+(9*x**3)+x**4))/(1-x**5))] }
-
-
-
-def A191760():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(7*x**2)+(4*x**3)+(9*x**4)+(4*x**5)+(7*x**6)+(9*x**7)+x**8))/((1-x)*(1+x+x**2)*(1+x**3+x**6)))] }
-
-
-
-def A191761():
- x = SR.var('x')
- return { 'ogf': [(((4*x)+(6*x**2)+(6*x**3)+(4*x**4)+(0*x**5))/(1-x**5)),
-(-((2*x*(1+x)*((2*x**2)+x+2))/((x-1)*(1+x+x**2+x**3+x**4))))] }
-
-
-
-def A191762():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(7*x)+(9*x**2)+x**3+x**4+(9*x**5)+(7*x**6)+(4*x**7)+(9*x**8)))/(1-x**9))] }
-
-
-
-def A191797():
- x = SR.var('x')
- return { 'ogf': [(x**3/(((1-(3*x)-x**2)+(5*x**3)+x**4)-x**5))] }
-
-
-
-def A191821():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((((-1)+(6*x))-(19*x**2))+(31*x**3))-(22*x**4))+(4*x**5)))/(((2*x)-1)**3*(x-1)**3)))] }
-
-
-
-def A191869():
- x = SR.var('x')
- return { 'ogf': [(((x**3*(1+x+x**2+x**3+x**4))*((((1-x)+x**2)-x**3)+x**4))/(1-x-x**3-x**5-x**7-x**9-x**11))] }
-
-
-
-def A191899():
- x = SR.var('x')
- return { 'ogf': [(-((16*x*((8*x**6)+(141*x**5)+(624*x**4)+(974*x**3)+(624*x**2)+(141*x)+8))/((x-1)**9*(x+1))))] }
-
-
-
-def A191900():
- x = SR.var('x')
- return { 'ogf': [((x*(64+(645*x)+(1821*x**2)+(1786*x**3)+(666*x**4)+(57*x**5)+x**6))/((1+x)*(x-1)**8))] }
-
-
-
-def A191901():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(8+(43*x)+(78*x**2)+(43*x**3)+(8*x**4)))/((1+x)*(x-1)**7)))] }
-
-
-
-def A191902():
- x = SR.var('x')
- return { 'ogf': [((x*(16+(41*x)+(51*x**2)+(11*x**3)+x**4))/((1+x)*(x-1)**6))] }
-
-
-
-def A191903():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+x+x**2))/((1+x)*(1-x)**5))] }
-
-
-
-def A191967():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(6*x**2)+(2*x**3)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A191968():
- x = SR.var('x')
- return { 'ogf': [((x*(29+x))/((1-(47*x))+x**2))] }
-
-
-
-def A191993():
- x = SR.var('x')
- return { 'ogf': [(((((x-1)*((4*x)-1))+((1-(4*x))*((3*x)-1)**2)**(1/2))/(2*((4*x)-1)*((3*x)-1)))-1)] }
-
-
-
-def A192019():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**4-(3*x**2))+(4*x)+1))/((x+1)**2*((x**2-(3*x))+1)**2*((x**2+x)-1)**2))] }
-
-
-
-def A192021():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A192023():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(6*x))+(3*x**2)))/(x-1)**4))] }
-
-
-
-def A192025():
- x = SR.var('x')
- return { 'ogf': [((x*((4+(13*x))-(8*x**2)))/(1-x)**4)] }
-
-
-
-def A192033():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+x+1))/((x-1)*((2*x)-1)*(x+1)))] }
-
-
-
-def A192069():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((1-(2*x))+(4*x**2))-(3*x**3))+x**4))/((x-1)*((x**2+x)-1)**5))] }
-
-
-
-def A192080():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*((1-x)+x**2)*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A192090():
- x = SR.var('x')
- return { 'ogf': [((-13)+(3*x)+(3*x**2)+(2*x**3)+((((((((14-(12*x))+(10*x**2)+(10*x**4))-(104*x**5))+(114*x**6))-(80*x**7))+(34*x**8)+(12*x**9))-(2*x**10))/(((((((1-x-x**2-x**3)+x**4)-(7*x**5))+(7*x**6))-x**7)+x**8+x**9+x**10)-x**11)))] }
-
-
-
-def A192107():
- x = SR.var('x')
- return { 'ogf': [((25*x)/(((5*x)-1)*((50*x)-1)))] }
-
-
-
-def A192142():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3-(2*x))+(5*x**2)+x**4))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192143():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(3*x))+(15*x**2))-(12*x**3))+(6*x**4)))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192144():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((6-(3*x))+(11*x**2))-(3*x**3)))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192145():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(3*x))+(12*x**2))-(9*x**3))+(4*x**4)))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192146():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((5-(3*x))+(8*x**2))-(2*x**3)))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192232():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2+x)-1))/(((x**4+x**3)-(3*x**2)-x)+1)))] }
-
-
-
-def A192234():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(2*x))-x**2))/((1-(2*x)-(2*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A192235():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3-x)*(1+x))/((1-(2*x)-(2*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A192236():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(2*x)-(2*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A192237():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(2*x)-(2*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A192243():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)))/(((1-(3*x))+(3*x**3))-x**4))] }
-
-
-
-def A192244():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(3*x))+(6*x**2))-(3*x**3)))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192245():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3-(3*x))+(2*x**2)))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192246():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(4*x))+(12*x**2))-(12*x**3))+(5*x**4)))/(1-x)/(1-x-x**2)**4)] }
-
-
-
-def A192247():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x)*((2-(2*x))+(3*x**2)))/(1-x)/(1-x-x**2)**4)] }
-
-
-
-def A192248():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((-1)+(5*x))-(20*x**2))+(30*x**3))-(25*x**4))+(8*x**5)))/((x-1)*((x**2+x)-1)**5)))] }
-
-
-
-def A192249():
- x = SR.var('x')
- return { 'ogf': [((5*x**2*((((1-(2*x))+(4*x**2))-(3*x**3))+x**4))/((x-1)*((x**2+x)-1)**5))] }
-
-
-
-def A192254():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(3*x))+(9*x**2))-(6*x**3))+(2*x**4)))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192255():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((4-(3*x))+(5*x**2))-x**3))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192256():
- x = SR.var('x')
- return { 'ogf': [((x*((((((1-(4*x))+(29*x**2))-(36*x**3))+(43*x**4))-(16*x**5))+(2*x**6)))/(1-x)/(1-x-x**2)**4)] }
-
-
-
-def A192257():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((8-(5*x))+(36*x**2))-(19*x**3))+(12*x**4))-x**5))/(1-x)/(1-x-x**2)**4)] }
-
-
-
-def A192299():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1-(3*x))+(7*x**2))-(3*x**3))+(3*x**4))-x**5))/(1-x)/(1-x-x**2)**3)] }
-
-
-
-def A192304():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(2*x))+(4*x**2))-x**3))/(((1-(3*x))+x**2+(3*x**3))-x**4-x**5))] }
-
-
-
-def A192305():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1-(2*x))+(2*x**2)))/((1-x)*(1-x-x**2)**2))] }
-
-
-
-def A192306():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2-x))/((1-x)*(1-x-x**2)**2))] }
-
-
-
-def A192307():
- x = SR.var('x')
- return { 'ogf': [((3*x*((1-(2*x))+(2*x**2)))/(1-x)/(1-x-x**2)**2)] }
-
-
-
-def A192308():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*(2-x))/(1-x)/(1-x-x**2)**2)] }
-
-
-
-def A192309():
- x = SR.var('x')
- return { 'ogf': [((x*(((2-(4*x))+(6*x**2))-x**3))/(((1-(3*x))+x**2+(3*x**3))-x**4-x**5))] }
-
-
-
-def A192310():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5-(2*x))+x**2))/(1-x)/(1-x-x**2)**2)] }
-
-
-
-def A192311():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(2*x))+(6*x**2))-(2*x**3)))/(((1-(3*x))+x**2+(3*x**3))-x**4-x**5))] }
-
-
-
-def A192312():
- x = SR.var('x')
- return { 'ogf': [((x**2*((4-x)+(2*x**2)))/(1-x)/(1-x-x**2)**2)] }
-
-
-
-def A192313():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((x**2-(3*x))+1))/(((x**4+(6*x**3)+x**2)-(4*x))+1))] }
-
-
-
-def A192328():
- x = SR.var('x')
- return { 'ogf': [((3*(9+(40*x)+(102*x**2)+(40*x**3)+(9*x**4)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A192333():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(2*x)+(2*x**2)+(2*x**3)+(7*x**4)))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A192337():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**2+x)-1))/(((x**4+(6*x**3)+x**2)-(4*x))+1)))] }
-
-
-
-def A192338():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)-(3*x**2)-(2*x))+1))/(((x**2+(2*x))-1)*(((4*x**2)+(2*x))-1)))] }
-
-
-
-def A192339():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*((2*x)-1))/(((x**2+(2*x))-1)*(((4*x**2)+(2*x))-1))))] }
-
-
-
-def A192344():
- x = SR.var('x')
- return { 'ogf': [(-((((5*x**2)+(2*x))-1)/((((9*x**4)+(6*x**3))-(10*x**2)-(2*x))+1)))] }
-
-
-
-def A192345():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3*x**2)+1))/((((9*x**4)+(6*x**3))-(10*x**2)-(2*x))+1))] }
-
-
-
-def A192346():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((3*x)-1))/(((x**4+(2*x**3))-(6*x**2)-(2*x))+1)))] }
-
-
-
-def A192347():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+1))/(((x**4+(2*x**3))-(6*x**2)-(2*x))+1))] }
-
-
-
-def A192348():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((4*x**2)+(2*x))-1))/((((4*x**4)+(4*x**3))-(8*x**2)-(2*x))+1)))] }
-
-
-
-def A192349():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x**2)+1))/((((4*x**4)+(4*x**3))-(8*x**2)-(2*x))+1))] }
-
-
-
-def A192350():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((6*x**2)+(2*x))-1))/((((16*x**4)+(8*x**3))-(12*x**2)-(2*x))+1)))] }
-
-
-
-def A192351():
- x = SR.var('x')
- return { 'ogf': [((x**2*((4*x**2)+1))/((((16*x**4)+(8*x**3))-(12*x**2)-(2*x))+1))] }
-
-
-
-def A192352():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3-x**2-(2*x))+1))/(((x**2-(3*x))+1)*(x**2-x-1))))] }
-
-
-
-def A192353():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-(4*x**2)-(2*x))+1))/((x**2+(3*x)+1)*(((5*x**2)-(5*x))+1)))] }
-
-
-
-def A192354():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((3*x**2)-x)+1))/((x**2+(3*x)+1)*(((5*x**2)-(5*x))+1)))] }
-
-
-
-def A192355():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)-(5*x**2)-(2*x))+1))/((x-1)*((3*x)+1)*((4*x)-1)))] }
-
-
-
-def A192356():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1-x)+(2*x**2)))/((x-1)*((3*x)+1)*((4*x)-1)))] }
-
-
-
-def A192357():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-(9*x**2)-(2*x))+1))/(((5*x**2)+(5*x)+1)*(((11*x**2)-(7*x))+1)))] }
-
-
-
-def A192358():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((8*x**2)-x)+1))/(((5*x**2)+(5*x)+1)*(((11*x**2)-(7*x))+1)))] }
-
-
-
-def A192370():
- x = SR.var('x')
- return { 'ogf': [((20*x)/(((4*x)-1)*((40*x)-1)))] }
-
-
-
-def A192373():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((3*x)-1))/((((9*x**4)+(6*x**3))-(10*x**2)-(2*x))+1)))] }
-
-
-
-def A192374():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((((9*x**4)+(6*x**3))-(10*x**2)-(2*x))+1))] }
-
-
-
-def A192376():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)**2)/((x+1)**2*((x**2-(4*x))+1)))] }
-
-
-
-def A192377():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((x+1)**2*((x**2-(4*x))+1)))] }
-
-
-
-def A192379():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2+(2*x))-1))/(((x**4+(2*x**3))-(6*x**2)-(2*x))+1)))] }
-
-
-
-def A192380():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(((x**4+(2*x**3))-(6*x**2)-(2*x))+1))] }
-
-
-
-def A192382():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/(((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A192383():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**2)+(2*x))-1))/((((4*x**4)+(4*x**3))-(8*x**2)-(2*x))+1)))] }
-
-
-
-def A192384():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((((4*x**4)+(4*x**3))-(8*x**2)-(2*x))+1))] }
-
-
-
-def A192386():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((4*x**2)+(2*x))-1))/((((16*x**4)+(8*x**3))-(12*x**2)-(2*x))+1)))] }
-
-
-
-def A192387():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((((16*x**4)+(8*x**3))-(12*x**2)-(2*x))+1))] }
-
-
-
-def A192389():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**2)-x)+1))/((x-1)**3*((x**2+x)-1)))] }
-
-
-
-def A192395():
- x = SR.var('x')
- return { 'ogf': [((-x**3)/((((2*x**2)-x)+1)*((x**2+x)-1)))] }
-
-
-
-def A192398():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(29*x))+(7*x**2))-x**3)/(x-1)**5)] }
-
-
-
-def A192417():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((((x**6+(2*x**5)+x**4)-(2*x**3)-(2*x**2)-(4*x))+1)))] }
-
-
-
-def A192418():
- x = SR.var('x')
- return { 'ogf': [((4*x*((3*x**2)+(8*x)+1))/(x-1)**4)] }
-
-
-
-def A192421():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**2)+(2*x))-2)/(((x**4+x**3)-(3*x**2)-x)+1)))] }
-
-
-
-def A192422():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1))/(((x**4+x**3)-(3*x**2)-x)+1))] }
-
-
-
-def A192423():
- x = SR.var('x')
- return { 'ogf': [(-((2*(x+1)*((2*x)-1))/((x**2-x-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A192425():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1))/((x**2-x-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A192426():
- x = SR.var('x')
- return { 'ogf': [(-((((5*x**2)+(2*x))-2)/((((4*x**4)+(2*x**3))-(5*x**2)-x)+1)))] }
-
-
-
-def A192427():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+1))/((((4*x**4)+(2*x**3))-(5*x**2)-x)+1))] }
-
-
-
-def A192428():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**3)+(7*x**2)+x)-1)/((((9*x**4)+(6*x**3))-(10*x**2)-(2*x))+1)))] }
-
-
-
-def A192430():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+(5*x**2)+x)-1)/(((x**4+(2*x**3))-(6*x**2)-(2*x))+1)))] }
-
-
-
-def A192447():
- x = SR.var('x')
- return { 'ogf': [((2*x*((x**2-x)+1))/((1-x)**3*(1+x**2)))] }
-
-
-
-def A192464():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((3*x**4)-(7*x**3)-x**2)+(6*x))-2))/((x-1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A192465():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x)-1)*((8*x**2)-3))/((x-1)*(x+1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A192466():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((x**2-(3*x))+1))/((x-1)*(x+1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A192467():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(3*x))+1))/((x-1)*(x+1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A192468():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((81*x**4)-(87*x**3)-x**2)+(20*x))-4))/((x-1)*(((3*x**2)+x)-1)*(((9*x**2)-(7*x))+1))))] }
-
-
-
-def A192469():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x-1)*((3*x)-1))/((((3*x**2)+x)-1)*(((9*x**2)-(7*x))+1))))] }
-
-
-
-def A192470():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((3*x)-1))/((((3*x**2)+x)-1)*(((9*x**2)-(7*x))+1))))] }
-
-
-
-def A192471():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1)*((x**3-(3*x**2)-x)+2))/((x-1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A192472():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((3*x**4)-(8*x**3)-x**2)+(8*x))-3))/((x-1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A192474():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((2*x**4)-(2*x**3)-(9*x**2))+(11*x))-3))/((x-1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A192475():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3-(3*x**2)-(3*x))+2))/(((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A192491():
- x = SR.var('x')
- return { 'ogf': [((24*x*((2*x**2)+(6*x)+1))/(x-1)**4)] }
-
-
-
-def A192616():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+x**3)-(3*x**2)-x)+1))/((((x**6+x**5)-(4*x**4)-x**3)+(4*x**2)+x)-1)))] }
-
-
-
-def A192617():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**2+x)-1))/((((x**6+x**5)-(4*x**4)-x**3)+(4*x**2)+x)-1))] }
-
-
-
-def A192651():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/((((x**6+x**5)-(4*x**4)-x**3)+(4*x**2)+x)-1)))] }
-
-
-
-def A192727():
- x = SR.var('x')
- return { 'ogf': [(-(x**4/((x-1)*(1+x)*((2*x**2)-1)*((x**2+x)-1))))] }
-
-
-
-def A192735():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*((2*x**4)+(4*x**3)+(2*x**2)+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A192736():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**5)+(2*x**4)+(6*x**3)+(5*x**2)+(2*x)+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A192742():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-3)-(6*x))+(3*x**2)+(4*x**3)))/((1-(3*x)-(3*x**2))+x**3+x**4)))] }
-
-
-
-def A192746():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-x**2)/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A192747():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((-1)-(3*x))+x**2))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192748():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+x+x**2))/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192749():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)))/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192750():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-x**2)/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A192751():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-(4*x)-1))/((x-1)**2*((x**2+x)-1)))] }
-
-
-
-def A192752():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x))-(2*x**2))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A192753():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(5*x))+(2*x**2)))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192754():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A192755():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(4*x)))/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192756():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+x**2))/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192758():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((1+x)*(x**2+1)*((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192759():
- x = SR.var('x')
- return { 'ogf': [(-(x/(((x**2+x)-1)*(x**4+x**3+x**2+x+1)*(x-1)**2)))] }
-
-
-
-def A192760():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-x)+x**2))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192761():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)-(2*x)-1))/((x-1)**2*((x**2+x)-1)))] }
-
-
-
-def A192762():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)-(3*x)-1))/((x-1)**2*((x**2+x)-1)))] }
-
-
-
-def A192772():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-x-1)*((x**2+(2*x))-1))/((((x**6+x**5)-(5*x**4)-x**3)+(5*x**2)+x)-1)))] }
-
-
-
-def A192773():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**2+x)-1))/((((x**6+x**5)-(5*x**4)-x**3)+(5*x**2)+x)-1))] }
-
-
-
-def A192774():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/((((x**6+x**5)-(5*x**4)-x**3)+(5*x**2)+x)-1)))] }
-
-
-
-def A192777():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((1-(5*x**2))+x**4)-x)+x**3))/((x**2-x-1)*(((x**4+(2*x**3))-(3*x**2)-(2*x))+1))))] }
-
-
-
-def A192778():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**2+x)-1))/((x**2-x-1)*(((x**4+(2*x**3))-(3*x**2)-(2*x))+1)))] }
-
-
-
-def A192779():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/((x**2-x-1)*(((x**4+(2*x**3))-(3*x**2)-(2*x))+1))))] }
-
-
-
-def A192780():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x)*((x**2+x)-1))/((((-1)+x+(3*x**2))-x**3-(3*x**4))+x**5+x**6)))] }
-
-
-
-def A192781():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**2+x)-1))/((((x**6+x**5)-(3*x**4)-x**3)+(3*x**2)+x)-1))] }
-
-
-
-def A192782():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/((((x**6+x**5)-(3*x**4)-x**3)+(3*x**2)+x)-1)))] }
-
-
-
-def A192790():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(16*x)+(10*x**2)))/(x-1)**4)] }
-
-
-
-def A192791():
- x = SR.var('x')
- return { 'ogf': [((8*x*(((4*x**2)-(6*x))+5))/(x-1)**4)] }
-
-
-
-def A192793():
- x = SR.var('x')
- return { 'ogf': [((36*x*(((3*x**2)-(2*x))+3))/(x-1)**4)] }
-
-
-
-def A192796():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((5*x)+7))/(1-x)**4)] }
-
-
-
-def A192797():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((1+x)-x**2)+x**3+x**4))/((1-x)**4*(1+x)**2))] }
-
-
-
-def A192798():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x+1)*((x**2+x)-1))/((((x**6+x**5)-(3*x**4))+(3*x**2)+x)-1)))] }
-
-
-
-def A192799():
- x = SR.var('x')
- return { 'ogf': [((x**2*((x**2+x)-1))/((((x**6+x**5)-(3*x**4))+(3*x**2)+x)-1))] }
-
-
-
-def A192800():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/((((x**6+x**5)-(3*x**4))+(3*x**2)+x)-1)))] }
-
-
-
-def A192801():
- x = SR.var('x')
- return { 'ogf': [(-((((5*x**2)-(5*x))+1)/((((11*x**3)-(15*x**2))+(7*x))-1)))] }
-
-
-
-def A192802():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)-1))/((((11*x**3)-(15*x**2))+(7*x))-1))] }
-
-
-
-def A192803():
- x = SR.var('x')
- return { 'ogf': [(-(x**2/((((11*x**3)-(15*x**2))+(7*x))-1)))] }
-
-
-
-def A192804():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((x-1)*((x**3+x**2+x)-1)))] }
-
-
-
-def A192805():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((2*x)-1))/((x-1)*((x**3+(2*x**2)+x)-1))))] }
-
-
-
-def A192806():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(6*x))-(2*x**2))/((((-1)+(7*x))-(5*x**2))+x**3))] }
-
-
-
-def A192807():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1))/(((x**3-(5*x**2))+(7*x))-1))] }
-
-
-
-def A192808():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(4*x)))/(((1-(7*x))+(12*x**2))-(8*x**3)))] }
-
-
-
-def A192809():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(((1-(7*x))+(12*x**2))-(8*x**3)))] }
-
-
-
-def A192810():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x)))/(((1-(7*x))+(12*x**2))-(8*x**3)))] }
-
-
-
-def A192811():
- x = SR.var('x')
- return { 'ogf': [(x**2/(((1-(7*x))+(12*x**2))-(8*x**3)))] }
-
-
-
-def A192812():
- x = SR.var('x')
- return { 'ogf': [((((((-3)+(8*x))-(4*x**2))+x**4)-x**6-(2*x**3))/((x-1)*((x**3+x**2)-1)*(((x**3-x**2)+(2*x))-1)))] }
-
-
-
-def A192813():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((x**4+(2*x**3))-x**2)+x)-1))/((((x**3-x**2)+(2*x))-1)*((x**3+x**2)-1))))] }
-
-
-
-def A192814():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(4*x)+x**2)/((((-1)+(5*x))-(3*x**2))+(7*x**3)))] }
-
-
-
-def A192827():
- x = SR.var('x')
- return { 'ogf': [(-((11*x*((5*x)+1))/(x-1)**3))] }
-
-
-
-def A192828():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(((12+(38*x)+(22*x**2)+(15*x**3))-(8*x**4))+x**5))/(1-x)**6)] }
-
-
-
-def A192829():
- x = SR.var('x')
- return { 'ogf': [((6*x**2*(((60+(864*x)+(2416*x**2)+(1613*x**3)+(44*x**4)+(50*x**5))-(8*x**6))+x**7))/(1-x)**8)] }
-
-
-
-def A192832():
- x = SR.var('x')
- return { 'ogf': [((48*x**2*(1+(6*x)+(3*x**2)))/(1-x)**6)] }
-
-
-
-def A192833():
- x = SR.var('x')
- return { 'ogf': [((12*x*(x**4+x**2+(2*x)+2))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A192834():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*((((12*x**4)-(2*x**3))+(25*x**2))-(4*x)-1))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((6*x)-1)))] }
-
-
-
-def A192836():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((7*x**5)-(14*x**4)-(14*x**3))+(24*x**2))-x-14))/((x-1)**4*(x+1)**2)))] }
-
-
-
-def A192838():
- x = SR.var('x')
- return { 'ogf': [((12*x*(x+2)*((x**3-x**2)+x+1))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A192839():
- x = SR.var('x')
- return { 'ogf': [((48*x**2*(1+x)*(1+(9*x)))/(1-x)**6)] }
-
-
-
-def A192845():
- x = SR.var('x')
- return { 'ogf': [((4*x*((1+(10*x))-(5*x**2)))/(1-x)**4)] }
-
-
-
-def A192846():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x**4+(2*x**3)+(14*x)+7))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A192848():
- x = SR.var('x')
- return { 'ogf': [(-((12*x*(x**2-(4*x)-1))/(x-1)**4))] }
-
-
-
-def A192849():
- x = SR.var('x')
- return { 'ogf': [((24*x**3*((4*x)+1))/(x-1)**6)] }
-
-
-
-def A192850():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x**4+(2*x**3)+(46*x)+23))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A192858():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x)*(x-1)**2)/((x**2-(3*x))+1)**2)] }
-
-
-
-def A192872():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)-1)*((x**2-x)+1))/((x-1)*(1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A192873():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-x)+1))/((x-1)*(x+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A192874():
- x = SR.var('x')
- return { 'ogf': [((((x**2-x)+1)*(((4*x**2)+x)-1))/((x-1)*(x**2-x-1)*(((4*x**2)+(2*x))-1)))] }
-
-
-
-def A192875():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)+1)*((x**2-x)+1))/((x-1)*(x**2-x-1)*(((4*x**2)+(2*x))-1))))] }
-
-
-
-def A192876():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+(4*x**2))/((x-1)*(x**2-x-1)*(((4*x**2)+(2*x))-1)))] }
-
-
-
-def A192877():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)))/((x-1)*(((4*x**2)+(2*x))-1)*(x**2-x-1))))] }
-
-
-
-def A192878():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x**2)-(6*x))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A192879():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A192880():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((x**2+(3*x))-1))/((1-(2*x)-(7*x**2)-(2*x**3))+x**4)))] }
-
-
-
-def A192882():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((1-(2*x)-(7*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A192883():
- x = SR.var('x')
- return { 'ogf': [(((2+x**2)-(4*x))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A192886():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((1-(2*x)-(2*x**2))+(4*x**3)+(2*x**4))-(5*x**5))+(3*x**6))-x**7))/(((1-(6*x))+(12*x**2))-(8*x**3)))] }
-
-
-
-def A192904():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(2*x)-x**2))/(1-(3*x)-x**3-x**4))] }
-
-
-
-def A192905():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+x))/(1-(3*x)-x**3-x**4))] }
-
-
-
-def A192906():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2)/(1-(3*x)-x**3-x**4))] }
-
-
-
-def A192907():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x))/((-1)+(3*x)+x**3+x**4)))] }
-
-
-
-def A192908():
- x = SR.var('x')
- return { 'ogf': [(1+((x*((-1)+x+x**2))/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A192909():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**2+(2*x))-1))/((x-1)*((x**4+x**3+(3*x))-1))))] }
-
-
-
-def A192910():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((x**2-x)+1))/((x-1)*((x**4+x**3+(3*x))-1)))] }
-
-
-
-def A192911():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(((2*x**2)+(2*x))-1))/(((x**6-x**5)+(2*x**4)+(5*x**3)+(4*x**2)+x)-1))] }
-
-
-
-def A192912():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1-x**2)+(2*x**3))-x))/((((-1)+x+(4*x**2)+(5*x**3)+(2*x**4))-x**5)+x**6)))] }
-
-
-
-def A192913():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(x-2))/((((-1)+x+(4*x**2)+(5*x**3)+(2*x**4))-x**5)+x**6))] }
-
-
-
-def A192914():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x**2))-(2*x))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A192916():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x**2))-(2*x))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A192917():
- x = SR.var('x')
- return { 'ogf': [((-(x*((-5)+(4*x))))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A192919():
- x = SR.var('x')
- return { 'ogf': [(((3+(2*x**2))-(6*x))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A192920():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(2*x)))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A192921():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(1+(2*x)))/((1+x)*((x**2-(3*x))+1))))] }
-
-
-
-def A192922():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2-(2*x))+(3*x**3))/((1-(2*x)-(2*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A192923():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(2*x**2)))/((1-(2*x)-(2*x**2))+(3*x**3)+x**4)))] }
-
-
-
-def A192928():
- x = SR.var('x')
- return { 'ogf': [((-(1/2))*((1/((x**4+x)-1))+((1+x+x**4)/((x**8+x**2)-1))))] }
-
-
-
-def A192932():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((-4)-(5*x))+(9*x**2))-(8*x**3))+(9*x**4)))/((x**3-x-1)*(((x**3-x**2)+(2*x))-1))))] }
-
-
-
-def A192937():
- x = SR.var('x')
- return { 'ogf': [((x*((100-(201*x))+(100*x**2)))/((1-(100*x))*(1-x)**2))] }
-
-
-
-def A192951():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A192952():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-x)+(3*x**2)))/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192953():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-x)+(2*x**2)))/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192954():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(2*x))-(4*x**2))+x**3)/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192955():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(2*x))-(4*x**2))+x**3))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192956():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(6*x**2))+(2*x**3)+(3*x))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192957():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(3*x))-(6*x**2))+(2*x**3)))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192958():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(4*x))-(8*x**2))+(3*x**3))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192959():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(8*x**2))+(3*x**3)+(4*x)))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192960():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((x**2-x)+1))/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192961():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((x**2-x)+1))/(((x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A192962():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)+x)-(3*x**2))+x**3))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192963():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+x)-(3*x**2))+x**3))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192964():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(5*x**2))+x**3+(3*x))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192965():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(3*x))-(5*x**2))+x**3))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192966():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(2*x))-(3*x**2))+x**3))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192967():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(4*x**2))+x**3+(3*x))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192968():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(3*x))-(4*x**2))+x**3))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192969():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x+x**3)-(2*x**2))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192970():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+x)-(2*x**2))+x**3))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192971():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+x)-(5*x**2))+x**3)/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192972():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+x)-(5*x**2))+x**3))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192973():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x**2)))/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A192974():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/(((x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A192975():
- x = SR.var('x')
- return { 'ogf': [(((((-1)+(2*x))-(7*x**2))+(2*x**3))/(((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A192976():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(2*x))-(7*x**2))+(2*x**3)))/(((x**2+x)-1)*(x-1)**3)))] }
-
-
-
-def A192978():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(((x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A192979():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**2)-(2*x))+1)/((x-1)**2*((x**2+x)-1))))] }
-
-
-
-def A192980():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(3*x**2)))/(((x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A192981():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x**2)-(3*x))+1)/((x-1)**2*((x**2+x)-1))))] }
-
-
-
-def A192982():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(3*x))+(4*x**2)))/(((x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A193004():
- x = SR.var('x')
- return { 'ogf': [(((((x**4-(3*x**3))+(10*x**2))-(3*x))+1)/((x-1)**3*((x**2+x)-1)))] }
-
-
-
-def A193005():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((1-(3*x))+(10*x**2))-(3*x**3))+x**4))/(((x**2+x)-1)*(x-1)**4)))] }
-
-
-
-def A193006():
- x = SR.var('x')
- return { 'ogf': [((((((2*x**4)-(6*x**3))+(13*x**2))-(4*x))+1)/((x-1)**3*((x**2+x)-1)))] }
-
-
-
-def A193007():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((2*x**4)-(6*x**3))+(13*x**2))-(4*x))+1))/((x-1)**4*((x**2+x)-1))))] }
-
-
-
-def A193008():
- x = SR.var('x')
- return { 'ogf': [((((7*x**2)-(2*x))+1)/((x-1)**3*((x**2+x)-1)))] }
-
-
-
-def A193041():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((7*x**2)-(2*x))+1))/((x-1)**4*((x**2+x)-1))))] }
-
-
-
-def A193044():
- x = SR.var('x')
- return { 'ogf': [(((((1+(7*x**2))-(4*x**3))+x**4)-(4*x))/(((x**2+x)-1)*(x-1)**3))] }
-
-
-
-def A193045():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((1-(4*x))+(7*x**2))-(4*x**3))+x**4))/(((x**2+x)-1)*(x-1)**4)))] }
-
-
-
-def A193046():
- x = SR.var('x')
- return { 'ogf': [((((x**5-(6*x**4)-x**3-(21*x**2))+(4*x))-1)/((x-1)**4*((x**2+x)-1)))] }
-
-
-
-def A193047():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-1)+(4*x))-(21*x**2)-x**3-(6*x**4))+x**5))/(((x**2+x)-1)*(x-1)**5)))] }
-
-
-
-def A193048():
- x = SR.var('x')
- return { 'ogf': [((((x**2-x)+1)*((((x**4-(5*x**3))+(9*x**2))-(5*x))+1))/((x-1)**5*((x**2+x)-1)))] }
-
-
-
-def A193049():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-x)+1)*((((x**4-(5*x**3))+(9*x**2))-(5*x))+1))/(((x**2+x)-1)*(x-1)**6)))] }
-
-
-
-def A193053():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x)+(3*x**2))-x**3)/((1+x)**2*(1-x)**3))] }
-
-
-
-def A193068():
- x = SR.var('x')
- return { 'ogf': [((2*x*((6-(3*x))+x**2))/(x-1)**4)] }
-
-
-
-def A193090():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(3*x**2)+(4*x**3)+(8*x**4)+(6*x**5)+(7*x**6)+(2*x**7)+(9*x**8)))/((1-x)*(1+x+x**2)*(1+x**3+x**6)))] }
-
-
-
-def A193108():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(4*x)+(5*x**4)+(6*x**5)+(4*x**6)+(5*x**8)+(6*x**10)+(4*x**11)+(5*x**12)+(6*x**15)+(9*x**16)))/((x-1)*(1+x**4+x**3+x**2+x)*(1+x)*((((1-x)+x**2)-x**3)+x**4)*(1+x**2)*((((x**8-x**6)+x**4)-x**2)+1))))] }
-
-
-
-def A193146():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-x-x**2)+x**3)-x**4)+x**6)),
-(1/((((1-x-x**2)+x**3)-x**4)+x**6))] }
-
-
-
-def A193147():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-(2*x**3)-x**5)),
-(1/(1-x-(2*x**3)-x**5))] }
-
-
-
-def A193218():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+(16*x)+1))/(1-x)**4)] }
-
-
-
-def A193228():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+(34*x)+1))/(x-1)**4)] }
-
-
-
-def A193248():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+(88*x)+1))/(x-1)**4)] }
-
-
-
-def A193249():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(148*x)+x**2))/(1-x)**4)] }
-
-
-
-def A193250():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+(46*x)+1))/(x-1)**4)] }
-
-
-
-def A193251():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**2+(118*x)+1))/(x-1)**4)] }
-
-
-
-def A193252():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(70*x)+x**2))/(1-x)**4)] }
-
-
-
-def A193253():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(179*x)+(179*x**2)+x**3))/(1-x)**4)] }
-
-
-
-def A193260():
- x = SR.var('x')
- return { 'ogf': [(x+x**2)] }
-
-
-
-def A193356():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2))/(1-x**2)**2)] }
-
-
-
-def A193410():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(6*x))+(18*x**2)))] }
-
-
-
-def A193418():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2+x)-1))/((((((3*x**6)-(4*x**5))+x**4)-(3*x**2))+(4*x))-1))] }
-
-
-
-def A193448():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(1+(8*x)+x**2))/(x-1)**3))] }
-
-
-
-def A193449():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)))/(((2*x**2)+x)-1)**2)] }
-
-
-
-def A193475():
- x = SR.var('x')
- return { 'ogf': [(((16*x)+2)/(((64*x**2)-(20*x))+1))] }
-
-
-
-def A193519():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-(5*x))+(5*x**2)+(3*x**3)))] }
-
-
-
-def A193530():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x**5-(3*x**3))+(2*x**2)+(2*x))/((x-1)*((x**2+(2*x))-1)*((x**4+(2*x**2))-1)))] }
-
-
-
-def A193575():
- x = SR.var('x')
- return { 'ogf': [((x**2*(19+(56*x)+(12*x**2)+(2*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A193577():
- x = SR.var('x')
- return { 'ogf': [(5/(1-(7*x)))] }
-
-
-
-def A193579():
- x = SR.var('x')
- return { 'ogf': [((3*(3-(10*x)))/((1-x)*(1-(4*x))))] }
-
-
-
-def A193608():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x)*((5-x)+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A193618():
- x = SR.var('x')
- return { 'ogf': [((2*(sqrt((1+(64*x**2)))+(8*x)))/(sqrt((1+(64*x**2)))+1))**(1/4)] }
-
-
-
-def A193619():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1+(64*x**2)))+1)*(sqrt((1+(64*x**2)))-(8*x)))/2)**(1/4)] }
-
-
-
-def A193641():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+x**2))/((-1)+(2*x)+x**3)))] }
-
-
-
-def A193642():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(3*x)+x**2))/((-1)+(2*x)+(2*x**2)+x**3)))] }
-
-
-
-def A193643():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(5*x)+x**2))/((1+x)*((x**2+(3*x))-1))))] }
-
-
-
-def A193646():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(11*x)+x**2))/((-1)+(2*x)+(10*x**2)+x**3)))] }
-
-
-
-def A193647():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(13*x)+x**2))/((-1)+(2*x)+(12*x**2)+x**3)))] }
-
-
-
-def A193649():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*((2*x)-1))/((x-1)*(((4*x**2)+x)-1))))] }
-
-
-
-def A193652():
- x = SR.var('x')
- return { 'ogf': [((-(x*(((-1)-(2*x))+(2*x**2))))/((x-1)*((2*x)+1)*((2*x)-1)*(1+x)))] }
-
-
-
-def A193653():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2)/((1-(4*x))+x**2+(2*x**3)))] }
-
-
-
-def A193654():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(2*x))+(4*x**2)+(4*x**3))-(8*x**5))/((1+x)*((2*x)+1)*(x-1)**2*((2*x)-1)**3))] }
-
-
-
-def A193655():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(2*x))+(3*x**2)+(9*x**3))-(8*x**4)-(4*x**5))/((1+x)*((2*x)+1)*(x-1)**2*((2*x)-1)**3))] }
-
-
-
-def A193656():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(((5*x)-1)*((4*x)-1)))] }
-
-
-
-def A193661():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(8*x))-(13*x**2))/((x-1)*((3*x)-1)*((7*x)-1)))] }
-
-
-
-def A193663():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/((1-(2*x)-(6*x**2))+(7*x**3)+x**4))] }
-
-
-
-def A193669():
- x = SR.var('x')
- return { 'ogf': [((1-x**4)/((1-x)+x**8)),
-(-(((x-1)*(1+x)*(x**2+1))/(((x**2-x)+1)*(((x**6+x**5)-x**3-x**2)+1))))] }
-
-
-
-def A193690():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)**2*(1-x**4))/((1-x)**2*(1-x**6)))] }
-
-
-
-def A193695():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-x-(2*x**2)-(2*x**3)-x**4))/((-1)+(2*x)+x**2+x**4+x**5))] }
-
-
-
-def A193744():
- x = SR.var('x')
- return { 'ogf': [((3-x**2)/(1-x**2-x**3)/(1-x))] }
-
-
-
-def A193764():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((((((x**18-(2*x**17))+x**16)-x**13)+(2*x**12))-(3*x**11))+(2*x**10)+x**9)-(2*x**8))+(2*x**6))-x**5-(2*x**4)-(2*x**2)-(2*x)-2))/((x-1)**3*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A193765():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((((((x**18-(2*x**17))+x**16)-x**13)+(2*x**12))-(3*x**11))+(2*x**10)+x**9)-(2*x**8))+x**6)-(2*x**4)-(2*x**2)-x-3))/((x-1)**3*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A193766():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+(2*x**2)+(2*x**3)+x**4))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A193767():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**10-(2*x**9))+x**8+x**7)-x**6-x**5)+(2*x**4))-x**3-x-2))/(x-1)**2))] }
-
-
-
-def A193768():
- x = SR.var('x')
- return { 'ogf': [((x*((((((x**10-(2*x**9))+x**8+x**7)-x**6-x**5)+(2*x**4))-x**3-x)+2))/(x-1)**2)] }
-
-
-
-def A193771():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-x**3)+x**6))] }
-
-
-
-def A193828():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((x**2-x)+1)*(x**2+(4*x)+1))/((x-1)**3*(x**2+1)**2)))] }
-
-
-
-def A193866():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(5*x)+(12*x**2)+x**3))/(((1-x-(2*x**2))+(2*x**3)+x**4)-x**5))] }
-
-
-
-def A193867():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+1)*(x**2+(6*x)+1))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A193868():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+x+(4*x**2)+x**3+x**4))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A193884():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-x)+x**4)),
-(((1+x)*(1-x))/((1-x)+x**4))] }
-
-
-
-def A193885():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((1-x)+x**2))/((((1-(3*x))+(3*x**2))-x**3)+x**4))] }
-
-
-
-def A193911():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/(((-1)+x)**3*(((-1)-x)+(2*x**2)+(2*x**3))))] }
-
-
-
-def A193912():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x)**4*(1+x)*(1-(2*x**2))))] }
-
-
-
-def A193941():
- x = SR.var('x')
- return { 'ogf': [((1+x**3)/(1-x-x**6)),
-(((1+x)*((1-x)+x**2))/(1-x-x**6))] }
-
-
-
-def A193942():
- x = SR.var('x')
- return { 'ogf': [((1+x**4)/(1-x-x**8)),
-((1+x**4)/(1-x-x**8))] }
-
-
-
-def A193981():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(2+(11*x)+(17*x**2)))/(((-1)+x)**7*(1+x))))] }
-
-
-
-def A193982():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*(18+(125*x)+(267*x**2)+(279*x**3)+(151*x**4)))/(((-1)+x)**9*(1+x)**3)))] }
-
-
-
-def A193983():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**7*(2+(80*x)+(625*x**2)+(2244*x**3)+(4898*x**4)+(7197*x**5)+(7237*x**6)+(5030*x**7)+(2294*x**8)+(633*x**9)))/(((-1)+x)**11*(1+x)**5*(1+x+x**2))))] }
-
-
-
-def A193984():
- x = SR.var('x')
- return { 'ogf': [(-((x**9*(166+(4404*x)+(39567*x**2)+(205744*x**3)+(734283*x**4)+(1960827*x**5)+(4120441*x**6)+(7036145*x**7)+(9956248*x**8)+(11823233*x**9)+(11839707*x**10)+(10002936*x**11)+(7077533*x**12)+(4145811*x**13)+(1957821*x**14)+(721991*x**15)+(191674*x**16)+(31709*x**17)))/(((-1)+x)**13*(1+x)**7*(1+x**2)*(1+x+x**2)**3)))] }
-
-
-
-def A194073():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(2*x))-x**2)+x**3))/((1+x)*(x-1)**3)))] }
-
-
-
-def A194197():
- x = SR.var('x')
- return { 'ogf': [(((3331*x**5)+(161052*x**4)+(578757*x**3)+(317007*x**2)+(19852*x)+1)/(x-1)**6)] }
-
-
-
-def A194272():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**3))/((1-x)**2*(1-x**6)))] }
-
-
-
-def A194273():
- x = SR.var('x')
- return { 'ogf': [(x/(((((1-(3*x))+(3*x**2))-(3*x**4))+(3*x**5))-x**6))] }
-
-
-
-def A194274():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((1+x**2)*(1-x)**3))] }
-
-
-
-def A194275():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(3*x)-x**2)/(((-1)+x)**3*(1+x+x**2)))] }
-
-
-
-def A194350():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+(5*x**3)))/(1-(10*x**4)))] }
-
-
-
-def A194431():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(16*x))+x**2))/(x-1)**3)] }
-
-
-
-def A194454():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(11*x)))/(1-x)**3)] }
-
-
-
-def A194455():
- x = SR.var('x')
- return { 'ogf': [((2-(2*x)-(3*x**2))/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A194493():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5*((18*x**5)+(40*x**4)+(51*x**3)+(42*x**2)+(23*x)+6))/((x-1)**7*(x+1)**3*(x**2+x+1))))] }
-
-
-
-def A194494():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**6*((287*x**18)+(1545*x**17)+(4929*x**16)+(11689*x**15)+(22673*x**14)+(36995*x**13)+(51875*x**12)+(63203*x**11)+(67465*x**10)+(63168*x**9)+(51807*x**8)+(36900*x**7)+(22544*x**6)+(11587*x**5)+(4879*x**4)+(1606*x**3)+(385*x**2)+(59*x)+4))/((x-1)**9*(x+1)**5*(x**2+1)*(x**2+x+1)**3*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A194585():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1100*x**2)+(12823*x)+1092))/((x-1)**2*(x+1)))] }
-
-
-
-def A194599():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(6*x)+(5*x**2)+(8*x**3)+(5*x**4)+(6*x**5)+x**6+(3*x**8)))/((x-1)*(1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1))))] }
-
-
-
-def A194605():
- x = SR.var('x')
- return { 'ogf': [((8*x**3*((260+(1131*x)+(750*x**2)+(335*x**3)+(75*x**4))-(30*x**5)-x**6))/(1-x)**9)] }
-
-
-
-def A194628():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**13+x**8+x**7)-x**6-x**2-x)+1))/(((3*x**7)-x**6-(2*x))+1))] }
-
-
-
-def A194629():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**15+x**9+x**8)-x**7-x**2-x)+1))/(((3*x**8)-x**7-(2*x))+1))] }
-
-
-
-def A194633():
- x = SR.var('x')
- return { 'ogf': [((x*((x**2+x)-1)*((x**13-x**12-x**2-x)+1))/((x-1)*((((3*x**13)+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3)-x**2-(2*x))+1)))] }
-
-
-
-def A194642():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((4*x**13)+(3*x**12)+(7*x**11)+(6*x**10)+(5*x**8))-(5*x**6))+(5*x**4)+(4*x**3)+(8*x**2)+(7*x)+1))/((x-1)*(x**2+1)*(x**4+x**3+x**2+x+1)*((((x**8-x**6)+x**4)-x**2)+1))))] }
-
-
-
-def A194644():
- x = SR.var('x')
- return { 'ogf': [(-((2*((3-(12*x))+(10*x**2)))/(((-1)+(3*x))*((1-(3*x))+x**2))))] }
-
-
-
-def A194645():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((7-(68*x))+(229*x**2))-(308*x**3))+(134*x**4)))/(((-1)+x)*((-1)+(3*x))*((-1)+(4*x))*((1-(4*x))+(2*x**2)))))] }
-
-
-
-def A194646():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((((((((((-17)+(453*x))-(5251*x**2))+(34737*x**3))-(144635*x**4))+(394423*x**5))-(711101*x**6))+(836705*x**7))-(620007*x**8))+(270365*x**9))-(61055*x**10))+(5335*x**11)))/(((-1)+x)*((-1)+(4*x))*((-1)+(5*x))*((1-(4*x))+x**2)*((1-(5*x))+(3*x**2))*((1-(5*x))+(5*x**2))*((((-1)+(5*x))-(6*x**2))+x**3))))] }
-
-
-
-def A194647():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((((((((((((((((((((7089408*x**21)-(132938496*x**20))+(1125112128*x**19))-(5.717239392E9*x**18))+(1.9578445344E10*x**17))-(4.8082847384E10*x**16))+(8.8003026752E10*x**15))-(1.23138008952E11*x**14))+(1.3407200656E11*x**13))-(1.1499185349E11*x**12))+(7.8336556962E10*x**11))-(4.2596878318E10*x**10))+(1.8524447581E10*x**9))-(6.435525481E9*x**8))+(1778018953*x**7))-(387290192*x**6))+(65568715*x**5))-(8436954*x**4))+(796245*x**3))-(51918*x**2))+(2088*x))-39))/((x-1)*((2*x)-1)*((4*x)-1)*((6*x)-1)*((x**2-(4*x))+1)*(((2*x**2)-(5*x))+1)*(((2*x**2)-(4*x))+1)*(((4*x**2)-(6*x))+1)*(((6*x**2)-(6*x))+1)*(((7*x**2)-(6*x))+1)*((((2*x**3)-(8*x**2))+(6*x))-1)*((((3*x**3)-(9*x**2))+(6*x))-1))))] }
-
-
-
-def A194650():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((4*x**4)-(19*x**3))+(35*x**2))-(23*x)-9))/(x-1)**5)] }
-
-
-
-def A194651():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((((15*x**6)-(89*x**5))+(196*x**4))-(140*x**3)-(119*x**2))+(169*x)+88))/(x-1)**7))] }
-
-
-
-def A194652():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((((54*x**9)-(384*x**8))+(1052*x**7))-(1263*x**6))+(657*x**5))-(1434*x**4))+(4154*x**3))-(3567*x**2)-(917*x)-32))/(x-1)**9)] }
-
-
-
-def A194653():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(((((((((185*x**11)-(1635*x**10))+(6336*x**9))-(15496*x**8))+(32185*x**7))-(62315*x**6))+(86237*x**5))-(49559*x**4)-(35522*x**3))+(49422*x**2)+(19747*x)+655))/(x-1)**11))] }
-
-
-
-def A194654():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((622*x**14)-(6966*x**13))+(37088*x**12))-(130876*x**11))+(344918*x**10))-(655255*x**9))+(737997*x**8))-(153262*x**7)-(639936*x**6))+(251910*x**5)+(1132096*x**4))-(1113158*x**3)-(443028*x**2)-(27305*x)-125))/(x-1)**13)] }
-
-
-
-def A194716():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(31*x)+(47*x**2)+(5*x**3)))/(x-1)**4)] }
-
-
-
-def A194717():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(121*x)+(561*x**2)+(311*x**3)+(14*x**4)))/(x-1)**5))] }
-
-
-
-def A194718():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(456*x)+(5184*x**2)+(8102*x**3)+(2055*x**4)+(42*x**5)))/(x-1)**6)] }
-
-
-
-def A194719():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(1709*x)+(42582*x**2)+(146714*x**3)+(104077*x**4)+(13665*x**5)+(132*x**6)))/(x-1)**7))] }
-
-
-
-def A194720():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6427*x)+(329881*x**2)+(2198375*x**3)+(3329195*x**4)+(1251089*x**5)+(91803*x**6)+(429*x**7)))/(x-1)**8)] }
-
-
-
-def A194721():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(24301*x)+(2481083*x**2)+(29532493*x**3)+(82769773*x**4)+(66140687*x**5)+(14462017*x**6)+(624055*x**7)+(1430*x**8)))/(x-1)**9))] }
-
-
-
-def A194722():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(92368*x)+(18396110*x**2)+(371157402*x**3)+(1763669368*x**4)+(2.567824154E9*x**5)+(1206169122*x**6)+(163325950*x**7)+(4293143*x**8)+(4862*x**9)))/(x-1)**10)] }
-
-
-
-def A194723():
- x = SR.var('x')
- return { 'ogf': [((2/3)+(4/(3*(1+(3*sqrt((1-(8*x))))))))] }
-
-
-
-def A194724():
- x = SR.var('x')
- return { 'ogf': [((3/4)+(3/(2*(2+(4*sqrt((1-(12*x))))))))] }
-
-
-
-def A194725():
- x = SR.var('x')
- return { 'ogf': [((4/5)+(8/(5*(3+(5*sqrt((1-(16*x))))))))] }
-
-
-
-def A194726():
- x = SR.var('x')
- return { 'ogf': [((5/6)+(5/(3*(4+(6*sqrt((1-(20*x))))))))] }
-
-
-
-def A194727():
- x = SR.var('x')
- return { 'ogf': [((6/7)+(12/(7*(5+(7*sqrt((1-(24*x))))))))] }
-
-
-
-def A194728():
- x = SR.var('x')
- return { 'ogf': [((7/8)+(7/(4*(6+(8*sqrt((1-(28*x))))))))] }
-
-
-
-def A194729():
- x = SR.var('x')
- return { 'ogf': [((8/9)+(16/(9*(7+(9*sqrt((1-(32*x))))))))] }
-
-
-
-def A194730():
- x = SR.var('x')
- return { 'ogf': [((9/10)+(9/(5*(8+(10*sqrt((1-(36*x))))))))] }
-
-
-
-def A194788():
- x = SR.var('x')
- return { 'ogf': [((2*x**5*((((((((((1930*x**15)-(20052*x**14))+(87663*x**13))-(265681*x**12))+(816798*x**11))-(2117376*x**10))+(2865281*x**9)+(557737*x**8))-(6577818*x**7))+(3848604*x**6)+(8828017*x**5))-(9464319*x**4)-(6316750*x**3)-(868616*x**2)-(23937*x)-121))/(x-1)**15)] }
-
-
-
-def A194825():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(6*x**2)+x**3+(3*x**4)+(3*x**5)+x**6+(6*x**7)+(9*x**8)))/((1-x)*(1+x+x**2)*(1+x**3+x**6)))] }
-
-
-
-def A194826():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(9*x)+(4*x**2)+(6*x**3)+(5*x**4))-(5*x**6)-(5*x**8))+(6*x**10)+(9*x**11)+(9*x**12)+(6*x**13)))/((1-x)*(1+x**2)*(1+x+x**2+x**3+x**4)*((((1-x**2)+x**4)-x**6)+x**8)))] }
-
-
-
-def A194952():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**3*((((-8)+(19*x)+(32*x**2))-(65*x**3)-(34*x**4))+(48*x**5)))/((x-1)*((3*x)-1)*((2*x)+1)*(1+x)*((-1)+(2*x))**2)))] }
-
-
-
-def A195013():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/(1-x**2)**2)] }
-
-
-
-def A195015():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(4*x)))/((1+x)*(1-x)**3))] }
-
-
-
-def A195016():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(3*x)))/((1+x)*(1-x)**3))] }
-
-
-
-def A195018():
- x = SR.var('x')
- return { 'ogf': [(-((x*(7+(13*x)))/(x-1)**3))] }
-
-
-
-def A195019():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(4*x)))/((x-1)**2*(1+x)**2))] }
-
-
-
-def A195020():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(4*x)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A195021():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(25*x)))/(1-x)**3)] }
-
-
-
-def A195023():
- x = SR.var('x')
- return { 'ogf': [((2*x*(5+(9*x)))/(1-x)**3)] }
-
-
-
-def A195024():
- x = SR.var('x')
- return { 'ogf': [((x*(13+(15*x)))/(1-x)**3)] }
-
-
-
-def A195025():
- x = SR.var('x')
- return { 'ogf': [((x*(17+(11*x)))/(1-x)**3)] }
-
-
-
-def A195026():
- x = SR.var('x')
- return { 'ogf': [((7*x*(3+x))/(1-x)**3)] }
-
-
-
-def A195027():
- x = SR.var('x')
- return { 'ogf': [((4*x*(6+x))/(1-x)**3)] }
-
-
-
-def A195028():
- x = SR.var('x')
- return { 'ogf': [((x*(27+x))/(1-x)**3)] }
-
-
-
-def A195029():
- x = SR.var('x')
- return { 'ogf': [((3+(21*x)+(4*x**2))/(1-x)**3)] }
-
-
-
-def A195030():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x)+(30*x**3))-(2*x**4)))/(1-x)**3)] }
-
-
-
-def A195031():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(12*x)))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A195032():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(12*x)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A195033():
- x = SR.var('x')
- return { 'ogf': [((x*(21+(20*x)))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A195034():
- x = SR.var('x')
- return { 'ogf': [((x*(21+(20*x)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A195035():
- x = SR.var('x')
- return { 'ogf': [((x*(15+(8*x)))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A195036():
- x = SR.var('x')
- return { 'ogf': [((x*(15+(8*x)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A195038():
- x = SR.var('x')
- return { 'ogf': [(-((41*x)/(x-1)**3))] }
-
-
-
-def A195041():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(5*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195042():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(7*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195043():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(9*x)+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A195045():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(11*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195046():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(x*(13+x))))/(((-1)+x)**3*(1+x))))] }
-
-
-
-def A195047():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(15*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195048():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(17*x)+x**2))/((1-x)**3*(1+x)))] }
-
-
-
-def A195049():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(19*x)+x**2))/((1-x)**3*(1+x)))] }
-
-
-
-def A195058():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(21*x)+x**2))/((1-x)**3*(1+x)))] }
-
-
-
-def A195060():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((1+x**2+x**3)-x**4)+x**5+x**7)-(2*x**8))+x**11+(2*x**9))-(2*x**10)))/((1+x)*(x**4+1)*(x**2+1)**2*(x-1)**3)))] }
-
-
-
-def A195084():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(2*x**2)))/((1-x)*(1+x)**2))] }
-
-
-
-def A195116():
- x = SR.var('x')
- return { 'ogf': [((((12-(119*x))+(341*x**2))-(294*x**3))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(6*x))))] }
-
-
-
-def A195140():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+x**2))/((x-1)**2*(x+1)**2))] }
-
-
-
-def A195142():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(8*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195143():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(10*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195145():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(12*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195146():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(14*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195147():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(16*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195148():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(18*x)+x**2))/((1+x)*(1-x)**3))] }
-
-
-
-def A195149():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(20*x)+x**2))/((1+x)*(x-1)**3)))] }
-
-
-
-def A195156():
- x = SR.var('x')
- return { 'ogf': [((5*x)/((1-x)*(1-(16*x))))] }
-
-
-
-def A195158():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(22*x)+x**2))/((1-x)**3*(1+x)))] }
-
-
-
-def A195159():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+x**2))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A195160():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A195161():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+x**2))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A195162():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A195163():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(997*x)))/(1-x)**3)] }
-
-
-
-def A195197():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((3+(8*x))-(5*x**3)-(4*x**4))+x**5)-(5*x**6))+x**9+(2*x**10)+x**11)-(3*x**2)-(5*x**8)))/((1+x)*((x**2-x)+1)*((x**4+x**2)-1)*(x-1)**2*(1+x+x**2)**2)))] }
-
-
-
-def A195241():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(19*x**3))-(3*x**4))/(1-x)**3)] }
-
-
-
-def A195309():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(7*x**2)+(9*x**3)+x**4))/((x-1)**4*(1+x)**4))] }
-
-
-
-def A195312():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+x**2))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A195313():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A195314():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(26*x)+x**2))/(x-1)**3))] }
-
-
-
-def A195315():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(30*x)+x**2))/(x-1)**3))] }
-
-
-
-def A195316():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(34*x)+x**2))/(x-1)**3))] }
-
-
-
-def A195320():
- x = SR.var('x')
- return { 'ogf': [(-((7*x*(1+(3*x)))/(x-1)**3))] }
-
-
-
-def A195321():
- x = SR.var('x')
- return { 'ogf': [((18*x*(1+x))/(1-x)**3)] }
-
-
-
-def A195323():
- x = SR.var('x')
- return { 'ogf': [((22*x*(1+x))/(1-x)**3)] }
-
-
-
-def A195339():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(3*x)-(3*x**2)-x**3)))] }
-
-
-
-def A195350():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-x**2)/((1-x)*(1-(3*x)-(3*x**2)-x**3)))] }
-
-
-
-def A195460():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(12*x))-(16*x**2)))/((1-x)*(1-(2*x))*(1-(4*x))))] }
-
-
-
-def A195463():
- x = SR.var('x')
- return { 'ogf': [((11-(32*x))/((1-(5*x))+(4*x**2)))] }
-
-
-
-def A195464():
- x = SR.var('x')
- return { 'ogf': [((((-13)+(134*x))-(256*x**2))/((((-1)+(21*x))-(84*x**2))+(64*x**3)))] }
-
-
-
-def A195499():
- x = SR.var('x')
- return { 'ogf': [((x*(3-x))/((1-(3*x)-(3*x**2))+x**3))] }
-
-
-
-def A195503():
- x = SR.var('x')
- return { 'ogf': [((x*(4-x))/((1-(4*x))+x**2))] }
-
-
-
-def A195531():
- x = SR.var('x')
- return { 'ogf': [((x*((5+(2*x))-x**2))/((1+x)*((1-(4*x))+x**2)))] }
-
-
-
-def A195547():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(4*x)+(12*x**2))-(2*x**3))+(12*x**4)+(4*x**5)+x**6))/((1-(17*x**3)-(17*x**6))+x**9))] }
-
-
-
-def A195548():
- x = SR.var('x')
- return { 'ogf': [((x*((((3+(5*x)+(8*x**2))-(12*x**3))+(20*x**4)+x**6)-x**7))/((1-(17*x**3)-(17*x**6))+x**9))] }
-
-
-
-def A195549():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(5*x)+(13*x**2))-x**3-x**4-x**5))/(((1-(3*x))+x**2)*(1+(3*x)+(8*x**2)+(3*x**3)+x**4)))] }
-
-
-
-def A195590():
- x = SR.var('x')
- return { 'ogf': [(-((1+(3*x))/((x-1)*((2*x)-1)**2)))] }
-
-
-
-def A195591():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(7*x**2))/((x-1)**2*((2*x)-1)**2))] }
-
-
-
-def A195592():
- x = SR.var('x')
- return { 'ogf': [(-((1+(25*x)+(51*x**2)+(11*x**3))/((x-1)**3*((2*x)-1)**2)))] }
-
-
-
-def A195593():
- x = SR.var('x')
- return { 'ogf': [((1+(56*x)+(246*x**2)+(156*x**3)+(11*x**4))/((x-1)**4*((2*x)-1)**2))] }
-
-
-
-def A195594():
- x = SR.var('x')
- return { 'ogf': [(-((1+(119*x)+(984*x**2)+(1352*x**3)+(307*x**4)+(9*x**5))/((x-1)**5*((2*x)-1)**2)))] }
-
-
-
-def A195595():
- x = SR.var('x')
- return { 'ogf': [((1+(246*x)+(3543*x**2)+(9080*x**3)+(4915*x**4)+(442*x**5)+(15*x**6))/((x-1)**6*((2*x)-1)**2))] }
-
-
-
-def A195605():
- x = SR.var('x')
- return { 'ogf': [(((2+(3*x)+(4*x**2))-x**3)/((1+x)*(1-x)**3))] }
-
-
-
-def A195657():
- x = SR.var('x')
- return { 'ogf': [(-((1+(501*x)+(11957*x**2)+(52145*x**3)+(55651*x**4)+(13919*x**5)+(695*x**6)+(27*x**7))/((x-1)**7*((2*x)-1)**2)))] }
-
-
-
-def A195658():
- x = SR.var('x')
- return { 'ogf': [((1+(1012*x)+(38698*x**2)+(270088*x**3)+(503686*x**4)+(270112*x**5)+(37900*x**6)+(1516*x**7)+(25*x**8))/((x-1)**8*((2*x)-1)**2))] }
-
-
-
-def A195659():
- x = SR.var('x')
- return { 'ogf': [(-((1+(2035*x)+(121804*x**2)+(1302988*x**3)+(3919832*x**4)+(3822444*x**5)+(1204400*x**6)+(113216*x**7)+(3167*x**8)+(13*x**9))/((x-1)**9*((2*x)-1)**2)))] }
-
-
-
-def A195660():
- x = SR.var('x')
- return { 'ogf': [((1+(4082*x)+(376245*x**2)+(5977500*x**3)+(27440106*x**4)+(43897316*x**5)+(25742850*x**6)+(5340248*x**7)+(353057*x**8)+(5622*x**9)+(23*x**10))/((x-1)**10*((2*x)-1)**2))] }
-
-
-
-def A195661():
- x = SR.var('x')
- return { 'ogf': [(-((1+(8177*x)+(1147469*x**2)+(26442685*x**3)+(177917014*x**4)+(436010362*x**5)+(423443926*x**6)+(163698250*x**7)+(23613841*x**8)+(1078869*x**9)+(9965*x**10)+(41*x**11))/((x-1)**11*((2*x)-1)**2)))] }
-
-
-
-def A195744():
- x = SR.var('x')
- return { 'ogf': [((31-(32*x))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A195818():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(10*x)+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A195824():
- x = SR.var('x')
- return { 'ogf': [((24*x*(1+x))/(1-x)**3)] }
-
-
-
-def A195855():
- x = SR.var('x')
- return { 'ogf': [((((352*x**3)-(367*x**2))+(94*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A195856():
- x = SR.var('x')
- return { 'ogf': [((((432*x**3)-(449*x**2))+(115*x)+1)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A195859():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(127+(2136*x)+(7827*x**2)+(7792*x**3)+(2157*x**4)+(120*x**5)+x**6))/(x-1)**9))] }
-
-
-
-def A195878():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(12*x)+x**2))/((1-(16*x**2))+x**4))] }
-
-
-
-def A195904():
- x = SR.var('x')
- return { 'ogf': [(x/(((2*x**7)-x**6-(2*x))+1))] }
-
-
-
-def A195917():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**2*(1+(4*x)+x**2))/((x-1)*((x**2-(16*x))+1)*(x**2+(16*x)+1))))] }
-
-
-
-def A195938():
- x = SR.var('x')
- return { 'ogf': [(((1+x**4)*x**2)/(1-x**4)**2)] }
-
-
-
-def A196081():
- x = SR.var('x')
- return { 'ogf': [((((10+x**2)-(9*x**4))+x**5)/((x**2+1)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A196221():
- x = SR.var('x')
- return { 'ogf': [(-(1/((9*x)-1)**11))] }
-
-
-
-def A196279():
- x = SR.var('x')
- return { 'ogf': [((x*((((((-2)+x)-(2*x**3))+x**4)-(2*x**6))+x**7+x**9+x**2+x**5+x**8))/((1+x)*(x**4+x**3+x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x-1)**2))] }
-
-
-
-def A196280():
- x = SR.var('x')
- return { 'ogf': [(1/((8*x)-1)**10)] }
-
-
-
-def A196288():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+(120*x)+(2157*x**2)+(7792*x**3)+(7827*x**4)+(2136*x**5)+(127*x**6)))/(x-1)**9))] }
-
-
-
-def A196289():
- x = SR.var('x')
- return { 'ogf': [((30*x**2*(17+(486*x)+(2943*x**2)+(5204*x**3)+(2943*x**4)+(486*x**5)+(17*x**6)))/(x-1)**10)] }
-
-
-
-def A196290():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(247*x)+(7318*x**2)+(44089*x**3)+(78130*x**4)+(44089*x**5)+(7318*x**6)+(247*x**7)+x**8))/(x-1)**10)] }
-
-
-
-def A196382():
- x = SR.var('x')
- return { 'ogf': [((x**3*(2-x))/((1-x)*(1-x-x**3)))] }
-
-
-
-def A196410():
- x = SR.var('x')
- return { 'ogf': [((x**5*(5-(8*x)))/((2*x)-1)**2)] }
-
-
-
-def A196423():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)**2)/((-1)+x+x**2+(3*x**3)+x**4)))] }
-
-
-
-def A196468():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-11)+(2*x)+(10*x**2)))/((x-1)*(((4*x**2)+(4*x))-1))))] }
-
-
-
-def A196472():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+x+x**2))/((x-1)*(((3*x**2)+(3*x))-1))))] }
-
-
-
-def A196506():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((5+(15*x))-(5*x**2))+x**3))/(x-1)**5))] }
-
-
-
-def A196507():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((-5)-(5*x))+x**2))/(x-1)**4))] }
-
-
-
-def A196508():
- x = SR.var('x')
- return { 'ogf': [((4*x*((1-(2*x))+(2*x**2)))/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A196513():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((14+(84*x))-(21*x**2))+(4*x**3)))/(x-1)**5))] }
-
-
-
-def A196514():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((x-1)*((2*x)-1)**3))] }
-
-
-
-def A196537():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*(x**2+(3*x)+1))/((-1)+x+x**2+(3*x**3)+x**4))] }
-
-
-
-def A196570():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((2+x)-(2*x**2)-x**3)+x**4))/((1+x)*((((2*x**5)-(4*x**4))+(2*x**2)+(2*x))-1))))] }
-
-
-
-def A196593():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(4*x))+(8*x**2))-(6*x**3))+(4*x**4)))/((1-x)**4*(1-(2*x))))] }
-
-
-
-def A196789():
- x = SR.var('x')
- return { 'ogf': [(((11*x**5)+(165*x**4)+(462*x**3)+(330*x**2)+(55*x)+1)/(1-x)**11)] }
-
-
-
-def A196791():
- x = SR.var('x')
- return { 'ogf': [((1-(11*x))/((1-x)*(1-(12*x))))] }
-
-
-
-def A196792():
- x = SR.var('x')
- return { 'ogf': [((1-(12*x))/((1-x)*(1-(13*x))))] }
-
-
-
-def A196810():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(2+(17*x)+(96*x**2)+(384*x**3)+(1203*x**4)+(3100*x**5)+(6917*x**6)+(13670*x**7)+(24466*x**8)+(39974*x**9)+(60206*x**10)+(83709*x**11)+(107667*x**12)+(128088*x**13)+(141070*x**14)+(143882*x**15)+(136037*x**16)+(119239*x**17)+(96892*x**18)+(72808*x**19)+(50428*x**20)+(31926*x**21)+(18321*x**22)+(9388*x**23)+(4223*x**24)+(1622*x**25)+(514*x**26)+(127*x**27)+(22*x**28)+(2*x**29)))/(((-1)+x)**5*(1+x)**3*(1+x**2)**3*(1+x+x**2)**3*(1+x+x**2+x**3+x**4)**3)))] }
-
-
-
-def A196864():
- x = SR.var('x')
- return { 'ogf': [((2*(sqrt((1+(4*3**4*x**2)))+(2*3**2*x)))/(sqrt((1+(4*3**4*x**2)))+1))**(1/6)] }
-
-
-
-def A196865():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1+(4*3**4*x**2)))+(2*3**2*x))*(sqrt((1+(4*3**4*x**2)))+1))/2)**(1/6)] }
-
-
-
-def A196866():
- x = SR.var('x')
- return { 'ogf': [((2*(sqrt((1+(4*4**4*x**2)))+(2*4**2*x)))/(sqrt((1+(4*4**4*x**2)))+1))**(1/8)] }
-
-
-
-def A196867():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((1+(4*4**4*x**2)))+(2*4**2*x))*(sqrt((1+(4*4**4*x**2)))+1))/2)**(1/8)] }
-
-
-
-def A196875():
- x = SR.var('x')
- return { 'ogf': [(((((x**5-(3*x**4))+(2*x))-1)*x)/(((x**4+x**3+x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A196876():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)+(2*x))-(6*x**7))+(4*x**8)))/(((x**7+x**6+x**5+x**4+x**3+x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A197049():
- x = SR.var('x')
- return { 'ogf': [((2*x)-((2*x**2*(1+x)*((2*x**3)-x**2-x-2))/((1-x-x**2-(3*x**3))+x**4+x**5)))] }
-
-
-
-def A197083():
- x = SR.var('x')
- return { 'ogf': [((x**4+(19*x**3)+(36*x**2)+(10*x))/(x-1)**6)] }
-
-
-
-def A197189():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(3*x)-(5*x**2)))] }
-
-
-
-def A197193():
- x = SR.var('x')
- return { 'ogf': [(-(1/((7*x)-1)**11))] }
-
-
-
-def A197194():
- x = SR.var('x')
- return { 'ogf': [(1/((9*x)-1)**10)] }
-
-
-
-def A197321():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(8*x))**11)] }
-
-
-
-def A197424():
- x = SR.var('x')
- return { 'ogf': [(((((-4)-(16*x))+(15*x**2)+(5*x**3))-x**4)/((x-1)*(x**2+(3*x)+1)*((x**2-(7*x))+1)))] }
-
-
-
-def A197602():
- x = SR.var('x')
- return { 'ogf': [((x*((((((8-(17*x))+(25*x**2))-(14*x**3))+(6*x**4))-(3*x**5))+x**6))/(1-x)**4)] }
-
-
-
-def A197603():
- x = SR.var('x')
- return { 'ogf': [((x*(((((16-(41*x))+(88*x**2))-(59*x**3))+(21*x**4))-x**6))/(1-x)**5)] }
-
-
-
-def A197604():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((((((((32-(95*x))+(309*x**2))-(265*x**3))+(191*x**4))-(62*x**5))+(16*x**6))-(13*x**7))+(11*x**8))-(5*x**9))+(5*x**11))-(10*x**12))+(10*x**13))-(5*x**14))+x**15))/(1-x)**6)] }
-
-
-
-def A197605():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((64-(204*x))+(1007*x**2))-(821*x**3))+(1017*x**4))-(455*x**5))+(125*x**6))-(15*x**7))+(3*x**8))-x**9))/(1-x)**7)] }
-
-
-
-def A197649():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/((x**2-(3*x))+1)**2)] }
-
-
-
-def A197652():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(9*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A197903():
- x = SR.var('x')
- return { 'ogf': [((((((x**6-x**5-(17*x**4))+(53*x**3))-(84*x**2))+(40*x))-16)/(x-1)**5)] }
-
-
-
-def A197916():
- x = SR.var('x')
- return { 'ogf': [((-(x*(((-1)-(5*x)-x**2)+(5*x**3))))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A198017():
- x = SR.var('x')
- return { 'ogf': [(((1+(7*x))-x**2)/(1-x)**3)] }
-
-
-
-def A198080():
- x = SR.var('x')
- return { 'ogf': [(-((4*x)/(((27*x)-1)*(x-1)**2)))] }
-
-
-
-def A198148():
- x = SR.var('x')
- return { 'ogf': [((x*(((-3)-x-(6*x**2))+x**4))/((x-1)**3*(1+x)**3))] }
-
-
-
-def A198274():
- x = SR.var('x')
- return { 'ogf': [((12-(11*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A198275():
- x = SR.var('x')
- return { 'ogf': [((16-(15*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A198276():
- x = SR.var('x')
- return { 'ogf': [((18-(17*x))/(((2*x)-1)*(x-1)))] }
-
-
-
-def A198294():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((49*x**17)+(3*x**16)+(33*x**15)+(8*x**14)+(31*x**13)+(8*x**12)+(33*x**11)+(3*x**10)+(49*x**9))-(231*x**8)-(13*x**7)-(131*x**6)-(28*x**5)-(93*x**4)-(20*x**3)-(67*x**2)-(5*x)-63))/((x-1)*((x**18-(6*x**9))+1)))] }
-
-
-
-def A198306():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((10*x**2)-(5*x)-7))/((x-1)*((5*x**2)-1))))] }
-
-
-
-def A198307():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((6*x**2)-(3*x)-4))/((x-1)*((6*x**2)-1))))] }
-
-
-
-def A198308():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((14*x**2)-(7*x)-9))/((x-1)*((7*x**2)-1))))] }
-
-
-
-def A198309():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((8*x**2)-(4*x)-5))/((x-1)*((8*x**2)-1))))] }
-
-
-
-def A198310():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((18*x**2)-(9*x)-11))/((x-1)*((3*x)-1)*((3*x)+1))))] }
-
-
-
-def A198392():
- x = SR.var('x')
- return { 'ogf': [(((2+(2*x)+(4*x**2)+(2*x**3))-x**4)/((1+x)**2*(1-x)**3))] }
-
-
-
-def A198396():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(37*x**2))/((1-(6*x))*(1-x)**2))] }
-
-
-
-def A198397():
- x = SR.var('x')
- return { 'ogf': [(((1-(9*x))+(50*x**2))/((1-(7*x))*(1-x)**2))] }
-
-
-
-def A198398():
- x = SR.var('x')
- return { 'ogf': [(((1-(10*x))+(65*x**2))/((1-(8*x))*(1-x)**2))] }
-
-
-
-def A198399():
- x = SR.var('x')
- return { 'ogf': [(((1-(11*x))+(82*x**2))/((1-(9*x))*(1-x)**2))] }
-
-
-
-def A198400():
- x = SR.var('x')
- return { 'ogf': [(((1-(12*x))+(101*x**2))/((1-(10*x))*(1-x)**2))] }
-
-
-
-def A198401():
- x = SR.var('x')
- return { 'ogf': [(-((((((9*x**9)+(1966*x**8)+(34133*x**7)+(120575*x**6)+(109459*x**5)+(18599*x**4))-(2233*x**3)-(275*x**2))+(8*x))-1)/((x-1)**9*((8*x)-1))))] }
-
-
-
-def A198402():
- x = SR.var('x')
- return { 'ogf': [((5*x*((625*x**4)+(3250*x**3)+(1650*x**2)+(130*x)+1))/((5*x)-1)**6)] }
-
-
-
-def A198403():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((6*x)+1)*((1296*x**4)+(12096*x**3)+(8856*x**2)+(336*x)+1))/((6*x)-1)**7))] }
-
-
-
-def A198404():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*((8*x)+1)*((262144*x**6)+(8060928*x**5)+(16576512*x**4)+(5924864*x**3)+(259008*x**2)+(1968*x)+1))/((8*x)-1)**9))] }
-
-
-
-def A198410():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((7-(54*x))+(63*x**2)))/((x-1)*((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A198412():
- x = SR.var('x')
- return { 'ogf': [((19*x)/(((729*x)-1)*((64*x)-1)))] }
-
-
-
-def A198442():
- x = SR.var('x')
- return { 'ogf': [((x**3*((-2)+x))/((1+x)*(x-1)**3))] }
-
-
-
-def A198473():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2+(4*x**3)+x**4+(4*x**5)+x**6))/((1+x**2+x**4)*(1-x**2)**2))] }
-
-
-
-def A198478():
- x = SR.var('x')
- return { 'ogf': [((9*x*((43046721*x**8)+(2.401050438E9*x**7)+(7.763290128E9*x**6)+(5.210129466E9*x**5)+(1024762590*x**4)+(64322586*x**3)+(1183248*x**2)+(4518*x)+1))/((9*x)-1)**10)] }
-
-
-
-def A198479():
- x = SR.var('x')
- return { 'ogf': [(-((10*x*((10*x)+1)*((100000000*x**8)+(1.012E10*x**7)+(4.6828E10*x**6)+(4.08364E10*x**5)+(9.0199E9*x**4)+(408364000*x**3)+(4682800*x**2)+(10120*x)+1))/((10*x)-1)**11))] }
-
-
-
-def A198480():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A198633():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/(1-(2*x)))] }
-
-
-
-def A198635():
- x = SR.var('x')
- return { 'ogf': [(((5-(12*x))+(3*x**2))/((1-(4*x))+(3*x**2)))] }
-
-
-
-def A198643():
- x = SR.var('x')
- return { 'ogf': [((4-(2*x))/(((3*x)-1)*(x-1)))] }
-
-
-
-def A198644():
- x = SR.var('x')
- return { 'ogf': [((7-(5*x))/(((3*x)-1)*(x-1)))] }
-
-
-
-def A198645():
- x = SR.var('x')
- return { 'ogf': [((9-(7*x))/(((3*x)-1)*(x-1)))] }
-
-
-
-def A198646():
- x = SR.var('x')
- return { 'ogf': [((10-(8*x))/(((3*x)-1)*(x-1)))] }
-
-
-
-def A198647():
- x = SR.var('x')
- return { 'ogf': [((2+(4*x))/(((7*x)-1)*(x-1)))] }
-
-
-
-def A198686():
- x = SR.var('x')
- return { 'ogf': [((3+(3*x))/(((7*x)-1)*(x-1)))] }
-
-
-
-def A198687():
- x = SR.var('x')
- return { 'ogf': [((4+(2*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A198688():
- x = SR.var('x')
- return { 'ogf': [((5+x)/(((7*x)-1)*(x-1)))] }
-
-
-
-def A198689():
- x = SR.var('x')
- return { 'ogf': [((7-x)/(((7*x)-1)*(x-1)))] }
-
-
-
-def A198690():
- x = SR.var('x')
- return { 'ogf': [((8-(2*x))/(((7*x)-1)*(x-1)))] }
-
-
-
-def A198691():
- x = SR.var('x')
- return { 'ogf': [((9-(3*x))/(((7*x)-1)*(x-1)))] }
-
-
-
-def A198692():
- x = SR.var('x')
- return { 'ogf': [((10-(4*x))/(((7*x)-1)*(x-1)))] }
-
-
-
-def A198693():
- x = SR.var('x')
- return { 'ogf': [((2+x)/(((4*x)-1)*(x-1)))] }
-
-
-
-def A198694():
- x = SR.var('x')
- return { 'ogf': [((6-(3*x))/(((4*x)-1)*(x-1)))] }
-
-
-
-def A198695():
- x = SR.var('x')
- return { 'ogf': [((10-(7*x))/(((4*x)-1)*(x-1)))] }
-
-
-
-def A198698():
- x = SR.var('x')
- return { 'ogf': [((2+(7*x))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A198699():
- x = SR.var('x')
- return { 'ogf': [((6+(3*x))/(((10*x)-1)*(x-1)))] }
-
-
-
-def A198700():
- x = SR.var('x')
- return { 'ogf': [((10-x)/(((10*x)-1)*(x-1)))] }
-
-
-
-def A198762():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x))/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A198763():
- x = SR.var('x')
- return { 'ogf': [((3+x)/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A198764():
- x = SR.var('x')
- return { 'ogf': [((5-x)/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A198765():
- x = SR.var('x')
- return { 'ogf': [((2*(3-x))/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A198766():
- x = SR.var('x')
- return { 'ogf': [((3-x)/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A198767():
- x = SR.var('x')
- return { 'ogf': [((7-(3*x))/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A198768():
- x = SR.var('x')
- return { 'ogf': [((8-(4*x))/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A198769():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(((5*x**2)-(6*x))+1))] }
-
-
-
-def A198770():
- x = SR.var('x')
- return { 'ogf': [((2*(5-(3*x)))/((1-(6*x))+(5*x**2)))] }
-
-
-
-def A198771():
- x = SR.var('x')
- return { 'ogf': [((5-(3*x))/(((5*x)-1)*(x-1)))] }
-
-
-
-def A198794():
- x = SR.var('x')
- return { 'ogf': [((4+x)/(((6*x)-1)*(x-1)))] }
-
-
-
-def A198795():
- x = SR.var('x')
- return { 'ogf': [((6-x)/(((6*x)-1)*(x-1)))] }
-
-
-
-def A198796():
- x = SR.var('x')
- return { 'ogf': [((2+(3*x))/(((6*x)-1)*(x-1)))] }
-
-
-
-def A198797():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/(((6*x)-1)*(x-1)))] }
-
-
-
-def A198833():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(7*x**2)+(3*x**3)+x**4))/(1-x)**7)] }
-
-
-
-def A198834():
- x = SR.var('x')
- return { 'ogf': [((2*x**3)/(1-x-x**2))] }
-
-
-
-def A198847():
- x = SR.var('x')
- return { 'ogf': [((9-(4*x))/(((6*x)-1)*(x-1)))] }
-
-
-
-def A198849():
- x = SR.var('x')
- return { 'ogf': [((2-x)/(((6*x)-1)*(x-1)))] }
-
-
-
-def A198850():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(((8*x)-1)*(x-1)))] }
-
-
-
-def A198851():
- x = SR.var('x')
- return { 'ogf': [(((5*x)+2)/(((8*x**2)-(9*x))+1))] }
-
-
-
-def A198852():
- x = SR.var('x')
- return { 'ogf': [((3+(4*x))/(((8*x)-1)*(x-1)))] }
-
-
-
-def A198853():
- x = SR.var('x')
- return { 'ogf': [((4+(3*x))/(((8*x)-1)*(x-1)))] }
-
-
-
-def A198854():
- x = SR.var('x')
- return { 'ogf': [((5+(2*x))/(((8*x)-1)*(x-1)))] }
-
-
-
-def A198855():
- x = SR.var('x')
- return { 'ogf': [((6+x)/(((8*x)-1)*(x-1)))] }
-
-
-
-def A198856():
- x = SR.var('x')
- return { 'ogf': [((8-x)/((1-x)*(1-(8*x))))] }
-
-
-
-def A198857():
- x = SR.var('x')
- return { 'ogf': [((9-(2*x))/(((8*x)-1)*(x-1)))] }
-
-
-
-def A198858():
- x = SR.var('x')
- return { 'ogf': [((10-(3*x))/(((8*x)-1)*(x-1)))] }
-
-
-
-def A198859():
- x = SR.var('x')
- return { 'ogf': [(((7*x)+1)/(((9*x**2)-(10*x))+1))] }
-
-
-
-def A198862():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(3*x))/((1-x)+x**4))] }
-
-
-
-def A198943():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(8*x)+(33*x**2)+(8*x**3)+x**4))/((1-(38*x**3))+x**6))] }
-
-
-
-def A198947():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(8*x)+x**2))/((1-(20*x**2))+x**4))] }
-
-
-
-def A198949():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(22*x)+x**2))/((1-(20*x**2))+x**4))] }
-
-
-
-def A198960():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(3*x)))/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A198961():
- x = SR.var('x')
- return { 'ogf': [((3+(5*x))/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A198962():
- x = SR.var('x')
- return { 'ogf': [((4+(4*x))/(((9*x)-1)*(x-1)))] }
-
-
-
-def A198963():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+5)/(((9*x**2)-(10*x))+1))] }
-
-
-
-def A198964():
- x = SR.var('x')
- return { 'ogf': [((3+x)/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A198965():
- x = SR.var('x')
- return { 'ogf': [((2*(3+x))/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A198966():
- x = SR.var('x')
- return { 'ogf': [((7+x)/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A198967():
- x = SR.var('x')
- return { 'ogf': [((9-x)/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A198968():
- x = SR.var('x')
- return { 'ogf': [((2*(5-x))/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A198969():
- x = SR.var('x')
- return { 'ogf': [((5-x)/((1-(10*x))+(9*x**2)))] }
-
-
-
-def A198970():
- x = SR.var('x')
- return { 'ogf': [((3*(1+(2*x)))/((1-(11*x))+(10*x**2)))] }
-
-
-
-def A198971():
- x = SR.var('x')
- return { 'ogf': [((4+(5*x))/((1-(11*x))+(10*x**2)))] }
-
-
-
-def A198972():
- x = SR.var('x')
- return { 'ogf': [((2+x)/((1-(11*x))+(10*x**2)))] }
-
-
-
-def A198973():
- x = SR.var('x')
- return { 'ogf': [((7+(2*x))/((1-(11*x))+(10*x**2)))] }
-
-
-
-def A198974():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199018():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199019():
- x = SR.var('x')
- return { 'ogf': [((2+(8*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199020():
- x = SR.var('x')
- return { 'ogf': [((3+(7*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199021():
- x = SR.var('x')
- return { 'ogf': [((2+(3*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199022():
- x = SR.var('x')
- return { 'ogf': [((4+(6*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199023():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199024():
- x = SR.var('x')
- return { 'ogf': [((5*(1+x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199025():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199026():
- x = SR.var('x')
- return { 'ogf': [((2*(3+(2*x)))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199027():
- x = SR.var('x')
- return { 'ogf': [((7+(3*x))/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199028():
- x = SR.var('x')
- return { 'ogf': [((4+x)/((1-(12*x))+(11*x**2)))] }
-
-
-
-def A199029():
- x = SR.var('x')
- return { 'ogf': [((2*(4+x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199030():
- x = SR.var('x')
- return { 'ogf': [((9+x)/((1-x)*(1-(11*x))))] }
-
-
-
-def A199031():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x))/((1-x)*(1-(12*x))))] }
-
-
-
-def A199032():
- x = SR.var('x')
- return { 'ogf': [((2+(9*x))/((1-x)*(1-(12*x))))] }
-
-
-
-def A199085():
- x = SR.var('x')
- return { 'ogf': [(((((x**6-(2*x**4)-x**2)+x)-1)*x)/(((((x**5-(2*x**4))+x**3)-x**2)+(2*x))-1))] }
-
-
-
-def A199106():
- x = SR.var('x')
- return { 'ogf': [((3+(8*x))/((1-x)*(1-(12*x))))] }
-
-
-
-def A199107():
- x = SR.var('x')
- return { 'ogf': [((4+(7*x))/((1-x)*(1-(12*x))))] }
-
-
-
-def A199108():
- x = SR.var('x')
- return { 'ogf': [((5-(7*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A199109():
- x = SR.var('x')
- return { 'ogf': [((4-(5*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A199110():
- x = SR.var('x')
- return { 'ogf': [((2*(4-(5*x)))/((1-x)*(1-(3*x))))] }
-
-
-
-def A199111():
- x = SR.var('x')
- return { 'ogf': [((9-(11*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A199112():
- x = SR.var('x')
- return { 'ogf': [((11-(13*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A199113():
- x = SR.var('x')
- return { 'ogf': [((6-(7*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A199114():
- x = SR.var('x')
- return { 'ogf': [((2*(6-(7*x)))/((1-x)*(1-(3*x))))] }
-
-
-
-def A199115():
- x = SR.var('x')
- return { 'ogf': [((3*(2-(3*x)))/((1-x)*(1-(4*x))))] }
-
-
-
-def A199116():
- x = SR.var('x')
- return { 'ogf': [((7-(10*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A199207():
- x = SR.var('x')
- return { 'ogf': [((8-(11*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A199208():
- x = SR.var('x')
- return { 'ogf': [((10-(13*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A199209():
- x = SR.var('x')
- return { 'ogf': [((11-(14*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A199210():
- x = SR.var('x')
- return { 'ogf': [((4-(5*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A199211():
- x = SR.var('x')
- return { 'ogf': [((3*(4-(5*x)))/((1-x)*(1-(4*x))))] }
-
-
-
-def A199212():
- x = SR.var('x')
- return { 'ogf': [((3-(7*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199213():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(2*x)))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199214():
- x = SR.var('x')
- return { 'ogf': [((4*(1-(2*x)))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199215():
- x = SR.var('x')
- return { 'ogf': [((5-(9*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199216():
- x = SR.var('x')
- return { 'ogf': [((7-(11*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199264():
- x = SR.var('x')
- return { 'ogf': [((((-9)+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8)-(8*x**9))/((x-1)*(1+x)*((x**2-x)+1)*((x**6-x**3)+1)))] }
-
-
-
-def A199299():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-(6*x))**2)] }
-
-
-
-def A199300():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/(1-(7*x))**2)] }
-
-
-
-def A199301():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-(8*x))**2)] }
-
-
-
-def A199308():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199309():
- x = SR.var('x')
- return { 'ogf': [((4-(6*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199310():
- x = SR.var('x')
- return { 'ogf': [((8-(12*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199311():
- x = SR.var('x')
- return { 'ogf': [((9-(13*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199312():
- x = SR.var('x')
- return { 'ogf': [((5-(7*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199313():
- x = SR.var('x')
- return { 'ogf': [((2*(5-(7*x)))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199314():
- x = SR.var('x')
- return { 'ogf': [((3-(4*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199315():
- x = SR.var('x')
- return { 'ogf': [((2*(3-(4*x)))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199316():
- x = SR.var('x')
- return { 'ogf': [((4*(3-(4*x)))/((1-x)*(1-(5*x))))] }
-
-
-
-def A199317():
- x = SR.var('x')
- return { 'ogf': [((3-(8*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199318():
- x = SR.var('x')
- return { 'ogf': [((4-(9*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199319():
- x = SR.var('x')
- return { 'ogf': [((5*(1-(2*x)))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199320():
- x = SR.var('x')
- return { 'ogf': [((6-(11*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199321():
- x = SR.var('x')
- return { 'ogf': [((8-(13*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199336():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(4*x)+x**2))/((1-(8*x**2))+x**4))] }
-
-
-
-def A199338():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(10*x)+x**2))/((1-(8*x**2))+x**4))] }
-
-
-
-def A199394():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3+(17*x**2)+(35*x)+11))/(x-1)**5))] }
-
-
-
-def A199398():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x)+(6*x**2))-(2*x**3))+x**4))/((1-x**2)*(1-x**4)))] }
-
-
-
-def A199402():
- x = SR.var('x')
- return { 'ogf': [((3*(((2*x**3)-x**2)+1)*x)/(((4*x**6)-x**4-(4*x**2))+1))] }
-
-
-
-def A199403():
- x = SR.var('x')
- return { 'ogf': [(((((3*x**2)-(2*x))+1)*x)/(((2*x**5)-x**4-(2*x))+1))] }
-
-
-
-def A199404():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(5*x)+x**2))/((1-(11*x**2))+x**4))] }
-
-
-
-def A199405():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(13*x)+x**2))/(((1+(3*x))-x**2)*(1-(3*x)-x**2)))] }
-
-
-
-def A199406():
- x = SR.var('x')
- return { 'ogf': [(-((x*((76*x**10)+(10016*x**9)+(212772*x**8)+(1380453*x**7)+(3384939*x**6)+(3388593*x**5)+(1380279*x**4)+(211623*x**3)+(10317*x**2)+(131*x)+1))/(x-1)**13))] }
-
-
-
-def A199411():
- x = SR.var('x')
- return { 'ogf': [((9-(14*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199412():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199413():
- x = SR.var('x')
- return { 'ogf': [((5*(2-(3*x)))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199414():
- x = SR.var('x')
- return { 'ogf': [((11-(16*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199415():
- x = SR.var('x')
- return { 'ogf': [((12-(17*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A199416():
- x = SR.var('x')
- return { 'ogf': [((3*(1-(3*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199417():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199418():
- x = SR.var('x')
- return { 'ogf': [((2*(2-(5*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199419():
- x = SR.var('x')
- return { 'ogf': [((5-(11*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199420():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(2*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199421():
- x = SR.var('x')
- return { 'ogf': [((3*(1-(2*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199422():
- x = SR.var('x')
- return { 'ogf': [((6*(1-(2*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199483():
- x = SR.var('x')
- return { 'ogf': [((7-(13*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199484():
- x = SR.var('x')
- return { 'ogf': [((3-(5*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199485():
- x = SR.var('x')
- return { 'ogf': [((3*(3-(5*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199486():
- x = SR.var('x')
- return { 'ogf': [((5-(8*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199487():
- x = SR.var('x')
- return { 'ogf': [((2*(5-(8*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199488():
- x = SR.var('x')
- return { 'ogf': [((11-(17*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199489():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199490():
- x = SR.var('x')
- return { 'ogf': [((2*(2-(3*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199491():
- x = SR.var('x')
- return { 'ogf': [((3*(2-(3*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199492():
- x = SR.var('x')
- return { 'ogf': [((6*(2-(3*x)))/((1-x)*(1-(7*x))))] }
-
-
-
-def A199493():
- x = SR.var('x')
- return { 'ogf': [((3-(10*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199494():
- x = SR.var('x')
- return { 'ogf': [((4-(11*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199552():
- x = SR.var('x')
- return { 'ogf': [((5-(12*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199553():
- x = SR.var('x')
- return { 'ogf': [((6-(13*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199554():
- x = SR.var('x')
- return { 'ogf': [((7*(1-(2*x)))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199555():
- x = SR.var('x')
- return { 'ogf': [((8-(15*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199556():
- x = SR.var('x')
- return { 'ogf': [((10-(17*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199557():
- x = SR.var('x')
- return { 'ogf': [((11-(18*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199558():
- x = SR.var('x')
- return { 'ogf': [((12-(19*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A199559():
- x = SR.var('x')
- return { 'ogf': [((3-(11*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199560():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(3*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199561():
- x = SR.var('x')
- return { 'ogf': [((4*(1-(3*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199562():
- x = SR.var('x')
- return { 'ogf': [((5-(13*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199563():
- x = SR.var('x')
- return { 'ogf': [((2*(3-(7*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199564():
- x = SR.var('x')
- return { 'ogf': [((7-(15*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199565():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(2*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199566():
- x = SR.var('x')
- return { 'ogf': [((4*(1-(2*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199567():
- x = SR.var('x')
- return { 'ogf': [((8*(1-(2*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199594():
- x = SR.var('x')
- return { 'ogf': [((2*x**4)-((x**5*(((-3)-(2*x)-(2*x**2))+(2*x**4)))/((1-x-x**2-x**3)+x**5)))] }
-
-
-
-def A199677():
- x = SR.var('x')
- return { 'ogf': [((9-(17*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199678():
- x = SR.var('x')
- return { 'ogf': [((11-(19*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199679():
- x = SR.var('x')
- return { 'ogf': [((3-(5*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199680():
- x = SR.var('x')
- return { 'ogf': [((2*(3-(5*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199681():
- x = SR.var('x')
- return { 'ogf': [((4*(3-(5*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A199682():
- x = SR.var('x')
- return { 'ogf': [((3*(1-(4*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199683():
- x = SR.var('x')
- return { 'ogf': [((4-(13*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199684():
- x = SR.var('x')
- return { 'ogf': [((5-(14*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199685():
- x = SR.var('x')
- return { 'ogf': [((3*(2-(5*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199686():
- x = SR.var('x')
- return { 'ogf': [((7-(16*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199687():
- x = SR.var('x')
- return { 'ogf': [((8-(17*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199688():
- x = SR.var('x')
- return { 'ogf': [((3*(1-(2*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199689():
- x = SR.var('x')
- return { 'ogf': [((9*(1-(2*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199690():
- x = SR.var('x')
- return { 'ogf': [((4-(7*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199691():
- x = SR.var('x')
- return { 'ogf': [((3*(4-(7*x)))/((1-x)*(1-(10*x))))] }
-
-
-
-def A199710():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(14*x**2))+(13*x**3))/((1-(28*x**2))+(169*x**4)))] }
-
-
-
-def A199744():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x+(2*x**2)+(2*x**3)+x**4))] }
-
-
-
-def A199750():
- x = SR.var('x')
- return { 'ogf': [((3-(13*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199751():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199752():
- x = SR.var('x')
- return { 'ogf': [((2*(2-(7*x)))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199753():
- x = SR.var('x')
- return { 'ogf': [((5*(1-(3*x)))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199754():
- x = SR.var('x')
- return { 'ogf': [((3-(8*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199755():
- x = SR.var('x')
- return { 'ogf': [((2*(3-(8*x)))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199756():
- x = SR.var('x')
- return { 'ogf': [((7-(17*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199757():
- x = SR.var('x')
- return { 'ogf': [((4-(9*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199758():
- x = SR.var('x')
- return { 'ogf': [((2*(4-(9*x)))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199759():
- x = SR.var('x')
- return { 'ogf': [((9-(19*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199760():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199761():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(2*x)))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199762():
- x = SR.var('x')
- return { 'ogf': [((5*(1-(2*x)))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199763():
- x = SR.var('x')
- return { 'ogf': [((10*(1-(2*x)))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199764():
- x = SR.var('x')
- return { 'ogf': [((11-(21*x))/((1-x)*(1-(11*x))))] }
-
-
-
-def A199771():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2+x**3))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A199772():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**4+(5*x**3)+(30*x**2)+(5*x)+1))/((x**6-(66*x**3))+1)))] }
-
-
-
-def A199773():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**4+(15*x**3)+(88*x**2)+(15*x)+1))/((x**6-(66*x**3))+1))] }
-
-
-
-def A199774():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3*x**4)+(5*x**3)+(32*x**2)+(5*x)+3))/((x**6-(66*x**3))+1))] }
-
-
-
-def A199798():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((13*x**5)+(21*x**4)+(132*x**3))-(21*x**2)-(13*x)-4))/((x**6-(66*x**3))+1)))] }
-
-
-
-def A199802():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-(2*x))+(2*x**2))-x**3)+x**4))] }
-
-
-
-def A199803():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+x)-x**2-x**3)+x**4))] }
-
-
-
-def A199804():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x+x**3))] }
-
-
-
-def A199805():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+x+(5*x**2))-x**3)+x**4))] }
-
-
-
-def A199833():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+(6*x)+x**2))/(x-1)**4)] }
-
-
-
-def A199834():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(2+(47*x)+(58*x**2)+(8*x**3)))/(x-1)**5))] }
-
-
-
-def A199835():
- x = SR.var('x')
- return { 'ogf': [((2*x*(5+(183*x)+(575*x**2)+(281*x**3)+(12*x**4)))/(x-1)**6)] }
-
-
-
-def A199925():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+x)*(1+x**2))/((1-x-x**2-x**3)+x**5))] }
-
-
-
-def A199926():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1-x**2-x**3))/((1-x-x**2-x**3)+x**5))] }
-
-
-
-def A199927():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-x**2)/(((1+x+(5*x**2))-x**3)+x**4))] }
-
-
-
-def A199928():
- x = SR.var('x')
- return { 'ogf': [((2+x+x**2)/(((1+x+(5*x**2))-x**3)+x**4))] }
-
-
-
-def A199935():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((-2)+x))/((x-1)*((x**2-x)+1)*((x**2+x)-1))))] }
-
-
-
-def A200047():
- x = SR.var('x')
- return { 'ogf': [(((x-1)**2*x**2)/((1-(2*x))+x**4+x**5))] }
-
-
-
-def A200067():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x)*(1+x**2))/((1+x+x**2)**2*(x-1)**4))] }
-
-
-
-def A200069():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(4*x)-(13*x**2)))] }
-
-
-
-def A200182():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**4)-(5*x**3))+(2*x**2)+3))/((x-1)**3*(x**2+x+1))))] }
-
-
-
-def A200218():
- x = SR.var('x')
- return { 'ogf': [((297*x*(1+(14882*x)+x**2))/((x-1)*(x**2+(1860498*x)+1)))] }
-
-
-
-def A200220():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2-x**3)+x**4)/(((1-(3*x**2)-(4*x**3))+x**4+x**5)-x**6))] }
-
-
-
-def A200258():
- x = SR.var('x')
- return { 'ogf': [((4*x*(8+x))/((1-(47*x))+x**2))] }
-
-
-
-def A200310():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+x**3+x**4+x**5))/((x-1)*((2*x**2)-1)*(1+x+x**2)*((x**2-x)+1)))] }
-
-
-
-def A200316():
- x = SR.var('x')
- return { 'ogf': [((x*((((((2*x**5)-(4*x**4))+(5*x**3))-(9*x**2))+(5*x))-1))/((x-1)**3*(((2*x**2)-(4*x))+1)))] }
-
-
-
-def A200376():
- x = SR.var('x')
- return { 'ogf': [((1/sqrt(((1-(10*x**2))+(x**4/(1-(8*x**2))))))+(x/(1-(9*x**2))))] }
-
-
-
-def A200407():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**4+(10*x**3)+(141*x**2)+(10*x)+1))/((x**6-(340*x**3))+1)))] }
-
-
-
-def A200408():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3-(7*x**2))+(13*x)+1))/((x-1)*(x+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A200409():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**4+(38*x**3)+(533*x**2)+(38*x)+1))/((x**6-(340*x**3))+1))] }
-
-
-
-def A200441():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(33*x))+x**2))] }
-
-
-
-def A200442():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(31*x))+x**2))] }
-
-
-
-def A200535():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2)**2*(1+x**3))/((1-x)*(1-x**2)))] }
-
-
-
-def A200537():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*(1+(4*x**2))*(1+(4*x**3)))/(1-(2*x**2))**2)] }
-
-
-
-def A200541():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-x**3)/(((1-x-(4*x**2)-(5*x**3)-(2*x**4))+x**5)-x**6))] }
-
-
-
-def A200543():
- x = SR.var('x')
- return { 'ogf': [((1-x-(3*x**2)-x**3)/((1-(3*x)-x**2-x**3)*((1+x+x**2)-x**3)))] }
-
-
-
-def A200672():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/((x-1)*((2*x**3)-1)))] }
-
-
-
-def A200674():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((2*x)-1))/((x-1)*((6*x)-1)*((3*x)-1)))] }
-
-
-
-def A200676():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**2)-(5*x))+1)/(((x**3-(3*x**2))+(5*x))-1)))] }
-
-
-
-def A200678():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+x**2))/((x-1)*((2*x**4)-1)))] }
-
-
-
-def A200715():
- x = SR.var('x')
- return { 'ogf': [((((-(3*x**2))+x)-1)/(((x**3-(3*x**2))+x)-1))] }
-
-
-
-def A200724():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(35*x))+x**2))] }
-
-
-
-def A200739():
- x = SR.var('x')
- return { 'ogf': [((((-x**2)+(5*x))-1)/(((x**3-x**2)+(5*x))-1))] }
-
-
-
-def A200752():
- x = SR.var('x')
- return { 'ogf': [((((-x**2)+(3*x))-1)/(((x**3-x**2)+(3*x))-1))] }
-
-
-
-def A200759():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((4-(10*x))+(5*x**2)+(4*x**3))-(3*x**4)-(3*x**6))+x**9+(2*x**7))-x**8))/((x-1)*((x**3+x**2+x)-1)*(((((x**6-x**5)+(2*x**4))-x**3-(2*x**2))+(3*x))-1))))] }
-
-
-
-def A200764():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((5+(9*x)+(8*x**2)+(7*x**3)+(4*x**4)+(4*x**5))-x**6-(2*x**7))+x**8))/((1+x+x**2)*(1+x)**2*(x-1)**5)))] }
-
-
-
-def A200765():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-6)-(26*x)-(66*x**2)-(123*x**3)-(180*x**4)-(228*x**5)-(246*x**6)-(250*x**7)-(240*x**8)-(222*x**9)-(184*x**10)-(129*x**11)-(69*x**12)-(21*x**13)-(2*x**14)-x**15-(2*x**16)-x**17)+x**18))/((x**2+1)*(x**4+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**6)))] }
-
-
-
-def A200781():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(5*x))+(10*x**3))-(5*x**4)))] }
-
-
-
-def A200782():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-(6*x))+(20*x**3))-(15*x**4))+x**6))] }
-
-
-
-def A200783():
- x = SR.var('x')
- return { 'ogf': [(1/(((((1-(7*x))+(35*x**3))-(35*x**4))+(7*x**6))-x**7))] }
-
-
-
-def A200859():
- x = SR.var('x')
- return { 'ogf': [(-((2-(15*x))/((1+x)*(1-(3*x))*(1-(5*x)))))] }
-
-
-
-def A200862():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2))/((1-(2*x)-(5*x**2))+(9*x**3)))] }
-
-
-
-def A200864():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1-(3*x))*(1-(5*x))))] }
-
-
-
-def A200936():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((((((11+(84*x)+(904*x**2))-(2868*x**3))+(492*x**5))-(12*x**7))+(2266*x**4))-(440*x**6))+(11*x**8)))/((x-1)*(x**2+(6*x)+1)*((1-(6*x))+x**2)*((x**2+(2*x))-1)*(x**2-(2*x)-1))))] }
-
-
-
-def A200943():
- x = SR.var('x')
- return { 'ogf': [((x+(7*x**2))-((x**3*(3+(9*x)+(13*x**2)+x**4+(9*x**3)))/((1+x+x**2)*(1+x)**2*(x-1)**5)))] }
-
-
-
-def A200975():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1+x+x**5)-x**4))/((1+x)*(x**2+1)*(x-1)**3)))] }
-
-
-
-def A200993():
- x = SR.var('x')
- return { 'ogf': [(-((10*x)/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A200998():
- x = SR.var('x')
- return { 'ogf': [((21*x)/(((1-(195*x))+(195*x**2))-x**3))] }
-
-
-
-def A201003():
- x = SR.var('x')
- return { 'ogf': [(-((36*x)/((x-1)*((x**2-(322*x))+1))))] }
-
-
-
-def A201004():
- x = SR.var('x')
- return { 'ogf': [(-((45*x)/((x-1)*((x**2-(322*x))+1))))] }
-
-
-
-def A201008():
- x = SR.var('x')
- return { 'ogf': [((55*x)/((1-x)*((1-(482*x))+x**2)))] }
-
-
-
-def A201106():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(8*x)+x**2))/(x-1)**6)] }
-
-
-
-def A201157():
- x = SR.var('x')
- return { 'ogf': [((5*x**2)/((x**2-(3*x))+1))] }
-
-
-
-def A201163():
- x = SR.var('x')
- return { 'ogf': [(1+x+((1+(3*x)+x**2)/(1+x)**3))] }
-
-
-
-def A201164():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x)*(1+sqrt((1-(4*x)))))/(2*(1-x-x**2))))] }
-
-
-
-def A201225():
- x = SR.var('x')
- return { 'ogf': [((20*(((((-305)-(11254*x))+(7424*x**2))-(346*x**3))+x**4))/(((-1)+x)*((1-(322*x))+x**2)*((1-(18*x))+x**2)))] }
-
-
-
-def A201227():
- x = SR.var('x')
- return { 'ogf': [((3375*(((-65)-(118*x))+(7*x**2)))/(((-1)+x)*((1-(18*x))+x**2)))] }
-
-
-
-def A201236():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((((2*x**5)-(9*x**4))+(15*x**3))-(9*x**2)-(4*x)-1))/(x-1)**5)] }
-
-
-
-def A201237():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*(((((3*x**7)-(15*x**6))+(25*x**5))-(7*x**4)-(17*x**3)-(15*x**2))+(83*x)+3))/(x-1)**7))] }
-
-
-
-def A201238():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((((8*x**9)-(54*x**8))+(189*x**7))-(551*x**6))+(1404*x**5))-(2552*x**4))+(2685*x**3))-(783*x**2)-(1798*x)-228))/(x-1)**9)] }
-
-
-
-def A201239():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((((((((10*x**12)-(110*x**11))+(685*x**10))-(2771*x**9))+(6946*x**8))-(9350*x**7))+(1710*x**6)+(15214*x**5))-(21392*x**4))+(656*x**3)+(33177*x**2)+(5337*x)+128))/(x-1)**11))] }
-
-
-
-def A201240():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*((((((((((((6*x**15)-(103*x**14))+(873*x**13))-(4241*x**12))+(12757*x**11))-(26112*x**10))+(45344*x**9))-(90774*x**8))+(189180*x**7))-(293907*x**6))+(260273*x**5))-(25077*x**4)-(315215*x**3)-(82430*x**2)-(3186*x)-28))/(x-1)**13)] }
-
-
-
-def A201241():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*(((((((((((((7*x**18)-(177*x**17))+(1965*x**16))-(12491*x**15))+(53736*x**14))-(175854*x**13))+(461641*x**12))-(942615*x**11))+(1320318*x**10))-(788656*x**9)-(1206129*x**8))+(3443471*x**7))-(3128600*x**6)-(552570*x**5))+(7435235*x**4)+(2548291*x**3)+(188955*x**2)+(2105*x)+8))/(x-1)**15))] }
-
-
-
-def A201242():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((((((((((((16*x**21)-(566*x**20))+(8182*x**19))-(67700*x**18))+(377824*x**17))-(1531112*x**16))+(4601788*x**15))-(10205035*x**14))+(16637339*x**13))-(21628151*x**12))+(32135719*x**11))-(68863352*x**10))+(138461546*x**9))-(189569712*x**8))+(133644570*x**7)+(20663373*x**6))-(378949513*x**5)-(174710713*x**4)-(19400947*x**3)-(520438*x**2)-(1516*x)-2))/(x-1)**17)] }
-
-
-
-def A201243():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x+1)*(x**2-(2*x)-2))/(x-1)**5)] }
-
-
-
-def A201244():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*(((x**5+(3*x**4))-(24*x**3))+(24*x**2)+(37*x)+19))/(x-1)**7))] }
-
-
-
-def A201245():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((2*x**8)-(55*x**7))+(230*x**6))-(254*x**5)-(225*x**4))+(173*x**3)+(1380*x**2)+(400*x)+29))/(x-1)**9))] }
-
-
-
-def A201246():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((((((((11*x**11)-(135*x**10))+(549*x**9))-(993*x**8))+(1172*x**7))-(2968*x**6))+(7085*x**5))-(4715*x**4)-(10613*x**3)-(4183*x**2)-(324*x)-6))/(x-1)**11)] }
-
-
-
-def A201247():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*(((((((((41*x**14)-(502*x**13))+(2506*x**12))-(7605*x**11))+(18870*x**10))-(41305*x**9))+(60117*x**8))-(21366*x**7)-(73987*x**6))+(52960*x**5)+(237560*x**4)+(93891*x**3)+(11196*x**2)+(263*x)+1))/(x-1)**13))] }
-
-
-
-def A201248():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*((((((((((((125*x**16)-(1785*x**15))+(11715*x**14))-(50121*x**13))+(158605*x**12))-(367485*x**11))+(570175*x**10))-(533381*x**9))+(460395*x**8))-(1262515*x**7))+(2731225*x**6))-(1795227*x**5)-(5484089*x**4)-(2685639*x**3)-(383115*x**2)-(17415*x)-108))/(x-1)**15)] }
-
-
-
-def A201279():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(5+x))/(1-x)**3)] }
-
-
-
-def A201369():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(((((((((((((14882*x**18)-(180784*x**17))+(1061244*x**16))-(4500406*x**15))+(15038864*x**14))-(34328850*x**13))+(40903004*x**12))-(8667835*x**11))+(23857551*x**10))-(260744627*x**9))+(545801251*x**8))-(276255996*x**7)-(467674682*x**6))+(484515328*x**5)+(391528458*x**4)+(65572237*x**3)+(2957401*x**2)+(21333*x)+27))/(x-1)**17))] }
-
-
-
-def A201455():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1+x)*(1-(4*x))))] }
-
-
-
-def A201458():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))**2*((1-(2*x))+(2*x**2))*((1-(3*x))+(3*x**2))))] }
-
-
-
-def A201507():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*((((((((((5*x**16)-(31*x**15))+(193*x**14))-(1683*x**13))+(5093*x**12)+(12431*x**11))-(111239*x**10))+(214181*x**9)+(187845*x**8))-(1518841*x**7))+(2546483*x**6))-(775465*x**5)-(6212549*x**4)-(2702167*x**3)-(286637*x**2)-(6249*x)-10))/(x-1)**15)] }
-
-
-
-def A201508():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((((((((((12*x**19)-(122*x**18))+(1130*x**17))-(6776*x**16))+(11180*x**15)+(33894*x**14)+(82772*x**13))-(1938093*x**12))+(7575029*x**11))-(10487057*x**10)-(11993287*x**9))+(70715064*x**8))-(109013258*x**7))+(41757444*x**6)+(331980470*x**5)+(173609451*x**4)+(25561181*x**3)+(1022241*x**2)+(7123*x)+2))/(x-1)**17))] }
-
-
-
-def A201510():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((((((14*x**21)-(226*x**20))+(2514*x**19))-(15414*x**18))+(54363*x**17))-(241813*x**16))+(1440666*x**15))-(4412622*x**14)-(2699713*x**13))+(64333547*x**12))-(202456488*x**11))+(209746960*x**10)+(407620979*x**9))-(1743413585*x**8))+(2.469587594E9*x**7))-(1465834094*x**6)-(9.995512037E9*x**5)-(6.126508561E9*x**4)-(1179686478*x**3)-(74030494*x**2)-(1198134*x)-2578))/(x-1)**19)] }
-
-
-
-def A201547():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(((((((((((((((((18*x**23)-(854*x**22))+(15942*x**21))-(168082*x**20))+(1174353*x**19))-(5878707*x**18))+(22139332*x**17))-(65539648*x**16))+(159915785*x**15))-(334575275*x**14))+(598795512*x**13))-(842713520*x**12))+(703597341*x**11)+(289921121*x**10))-(2021527454*x**9))+(3.16617157E9*x**8))-(1944444195*x**7)-(501647511*x**6))+(1.1035282966E10*x**5)+(6.335694166E9*x**4)+(1000714522*x**3)+(45821802*x**2)+(476166*x)+250))/(x-1)**19))] }
-
-
-
-def A201548():
- x = SR.var('x')
- return { 'ogf': [((2*x**5*((((((((((((((((((((10*x**26)-(615*x**25))+(14637*x**24))-(193410*x**23))+(1669110*x**22))-(10270682*x**21))+(47718030*x**20))-(174153546*x**19))+(511148331*x**18))-(1213451007*x**17))+(2.302816572E9*x**16))-(3.418379599E9*x**15))+(4.006461091E9*x**14))-(4.626995415E9*x**13))+(8.410419611E9*x**12))-(1.9068629603E10*x**11))+(3.3871890471E10*x**10))-(3.9181017568E10*x**9))+(1.8018811352E10*x**8))-(5.120263515E9*x**7)-(1.78499919965E11*x**6)-(1.23414145507E11*x**5)-(2.5801931589E10*x**4)-(1825246983*x**3)-(37482424*x**2)-(154182*x)-5))/(x-1)**21)] }
-
-
-
-def A201629():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(((-1)+x)**2*(1+x**2)))] }
-
-
-
-def A201630():
- x = SR.var('x')
- return { 'ogf': [((2+(5*x))/((1+x)*(1-(2*x))))] }
-
-
-
-def A201632():
- x = SR.var('x')
- return { 'ogf': [(((((35*x)+(48*x**2))-(70*x**3))+(3*x**5))/((1-x)*((1-(34*x**2))+x**4)))] }
-
-
-
-def A201645():
- x = SR.var('x')
- return { 'ogf': [(x/sqrt(((1+x**2)-(2*x*sqrt((1+(4*x**2)))))))] }
-
-
-
-def A201771():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((((((((((54764*x**21)-(805588*x**20))+(6061268*x**19))-(31485512*x**18))+(117971558*x**17))-(312791986*x**16))+(620038858*x**15))-(1193322246*x**14))+(2.685590901E9*x**13))-(4.918483903E9*x**12))+(3.82455888E9*x**11)+(5.110355848E9*x**10))-(1.3987162841E10*x**9))+(5.213745395E9*x**8)+(1.5789867458E10*x**7))-(1.4255103822E10*x**6)-(1.3342741937E10*x**5)-(2.791816301E9*x**4)-(174938304*x**3)-(2814508*x**2)-(3581*x)-1))/(x-1)**19)] }
-
-
-
-def A201837():
- x = SR.var('x')
- return { 'ogf': [(1/(1+(x**2*(1+x)**2)))] }
-
-
-
-def A201838():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1+(x**2*(1+x)**2)))] }
-
-
-
-def A201864():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+x))/((1-x)*(1+x+x**2)*(1-x-x**2)))] }
-
-
-
-def A201865():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))*(1+(7*x))))] }
-
-
-
-def A201916():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((73*x**53)+(116*x**52)+(100*x**51)+(171*x**50)+(104*x**49)+(184*x**48)+(57*x**47)+(92*x**46)+(55*x**45)+(80*x**44)+(88*x**43)+(53*x**42)+(139*x**41)+(113*x**40)+(139*x**39)+(53*x**38)+(88*x**37)+(80*x**36)+(55*x**35)+(92*x**34)+(57*x**33)+(184*x**32)+(104*x**31)+(171*x**30)+(100*x**29)+(116*x**28)+(73*x**27))-(363*x**26)-(568*x**25)-(480*x**24)-(797*x**23)-(468*x**22)-(792*x**21)-(235*x**20)-(368*x**19)-(213*x**18)-(300*x**17)-(316*x**16)-(183*x**15)-(453*x**14)-(339*x**13)-(381*x**12)-(135*x**11)-(212*x**10)-(180*x**9)-(117*x**8)-(184*x**7)-(107*x**6)-(312*x**5)-(156*x**4)-(229*x**3)-(120*x**2)-(128*x)-75))/((x-1)*((x**54-(6*x**27))+1)))] }
-
-
-
-def A201920():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((((((((((((1+x+(2*x**2)+(4*x**3)+(8*x**4)+(16*x**5)+(32*x**6))-(61*x**7))+(3*x**8)+(6*x**9)+(12*x**10)+(24*x**11)+(48*x**12))-(29*x**13)-(58*x**14))+(9*x**15)+(18*x**16)+(36*x**17))-(53*x**18))+(19*x**19)+(38*x**20))-(49*x**21))+(27*x**22)+(54*x**23))-(17*x**24)-(34*x**25))+(57*x**26))-(11*x**27)-(22*x**28)-(44*x**29))+(37*x**30))-(51*x**31))+(23*x**32)+(46*x**33))-(33*x**34))+(59*x**35))-(7*x**36)-(14*x**37)-(28*x**38)-(56*x**39))+(13*x**40)+(26*x**41)+(52*x**42))-(21*x**43)-(42*x**44))+(41*x**45))-(43*x**46))+(39*x**47))-(47*x**48))+(31*x**49)+(63*x**50))/((1-x)*(1+x**2)*((((((((((((((((((((((((1-x**2)+x**4)-x**6)+x**8)-x**10)+x**12)-x**14)+x**16)-x**18)+x**20)-x**22)+x**24)-x**26)+x**28)-x**30)+x**32)-x**34)+x**36)-x**38)+x**40)-x**42)+x**44)-x**46)+x**48)))] }
-
-
-
-def A202018():
- x = SR.var('x')
- return { 'ogf': [(-((((41*x**2)-(80*x))+41)/(x-1)**3))] }
-
-
-
-def A202107():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+(72*x)+(603*x**2)+(1168*x**3)+(603*x**4)+(72*x**5)+x**6))/(x-1)**9))] }
-
-
-
-def A202109():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(54*x)+(405*x**2)+(760*x**3)+(405*x**4)+(54*x**5)+x**6))/(x-1)**10)] }
-
-
-
-def A202141():
- x = SR.var('x')
- return { 'ogf': [(((5-(13*x))+(34*x**2))/(1-x)**3)] }
-
-
-
-def A202155():
- x = SR.var('x')
- return { 'ogf': [((18*x*(1+x))/((1-(1298*x))+x**2))] }
-
-
-
-def A202156():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1-x))/((1-(1298*x))+x**2))] }
-
-
-
-def A202206():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(3*x)-(3*x**2)))] }
-
-
-
-def A202207():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(((1-(3*x))+x**2)-x**3))] }
-
-
-
-def A202255():
- x = SR.var('x')
- return { 'ogf': [(-((x*(15+(92*x)+(275*x**2)+(573*x**3)+(911*x**4)+(1196*x**5)+(1305*x**6)+(1198*x**7)+(913*x**8)+(574*x**9)+(275*x**10)+(91*x**11)+(13*x**12)+x**14))/((1+x+x**2)*(x**4+x**3+x**2+x+1)*(x**2+1)*(1+x)**2*(x-1)**5)))] }
-
-
-
-def A202256():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-33)-(387*x)-(1937*x**2)-(6123*x**3)-(14061*x**4)-(25460*x**5)-(37953*x**6)-(47841*x**7)-(51602*x**8)-(47844*x**9)-(37956*x**10)-(25461*x**11)-(14061*x**12)-(6120*x**13)-(1935*x**14)-(387*x**15)-(35*x**16)-x**17)+x**18))/((x**2+1)*(x**4+x**3+x**2+x+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**6)))] }
-
-
-
-def A202280():
- x = SR.var('x')
- return { 'ogf': [((140634693*x**2)/((1-(3.45629608E9*x))+x**2))] }
-
-
-
-def A202299():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1-(34*x))+x**2))] }
-
-
-
-def A202303():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x+1)*(((x**16+(3*x**15)+(13*x**14)+(12*x**13)+(312*x**12))-(168*x**11))+(204*x**10)+(202*x**9)+(426*x**8)+(202*x**7)+(204*x**6)+(120*x**5)+(24*x**4)+(12*x**3)+(13*x**2)+(3*x)+1))/((x-1)*(x**6+x**5+x**4+x**3+x**2+x+1)*((x**14-(1442*x**7))+1))))] }
-
-
-
-def A202391():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x-5))/((x-1)*((1-(6*x))+x**2)))] }
-
-
-
-def A202462():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)-(2*x**2))+x**3))/((1+x)*((x**2-(3*x))+1)*((x**2+x)-1)*(x-1)**2))] }
-
-
-
-def A202481():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-x**2-x**3)+x**4)/(1-(2*x))**4)] }
-
-
-
-def A202563():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2773*x)+(126*x**2)))/((1-x)*((1-(9602*x))+x**2)))] }
-
-
-
-def A202564():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-(9*x)))/((1-x)*((1-(98*x))+x**2)))] }
-
-
-
-def A202565():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(43*x))+(6*x**2)))/((1-x)*((1-(98*x))+x**2)))] }
-
-
-
-def A202606():
- x = SR.var('x')
- return { 'ogf': [(((1-(109*x))+(955*x**2))/((1-x)*(1-(10*x))*(1-(100*x))))] }
-
-
-
-def A202637():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(2+(3*x)+(2*x**2)))/((1-(16*x**2))+x**4))] }
-
-
-
-def A202638():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(3*x)+x**2))/((1-(16*x**2))+x**4))] }
-
-
-
-def A202654():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((17*x**3)+(69*x**2)+(31*x)+3))/(x-1)**7))] }
-
-
-
-def A202655():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((151*x**6)+(1022*x**5)+(2233*x**4)+(2132*x**3)+(1001*x**2)+(174*x)+7))/((x-1)**9*(x+1)**2)))] }
-
-
-
-def A202656():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*((1899*x**9)+(16515*x**8)+(60512*x**7)+(116784*x**6)+(137646*x**5)+(98222*x**4)+(41688*x**3)+(9608*x**2)+(943*x)+23))/((x-1)**11*(x+1)**4)))] }
-
-
-
-def A202657():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*((31709*x**16)+(377288*x**15)+(2265487*x**14)+(8441426*x**13)+(22166758*x**12)+(43217858*x**11)+(64805639*x**10)+(75943200*x**9)+(70077016*x**8)+(50738668*x**7)+(28477437*x**6)+(12074418*x**5)+(3711058*x**4)+(771370*x**3)+(96173*x**2)+(5692*x)+83))/((x-1)**13*(x+1)**6*(x**2+x+1)**2)))] }
-
-
-
-def A202803():
- x = SR.var('x')
- return { 'ogf': [((2*x*(3+(2*x)))/(1-x)**3)] }
-
-
-
-def A202963():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+(8*x**2)))/(((1-(2*x))+(2*x**3))-x**4))] }
-
-
-
-def A203073():
- x = SR.var('x')
- return { 'ogf': [((4-(4*x)-(20*x**2))/((1-(19*x))+(2*x**2)+(78*x**3)))] }
-
-
-
-def A203094():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(6*x**2)+(5*x**4)+x**6))/((((((((-1)+(4*x))-(6*x**2))+(10*x**3))-(5*x**4))+(6*x**5))-x**6)+x**7)))] }
-
-
-
-def A203134():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(385*x)+(10*x**2)))/((1-x)*((1-(1154*x))+x**2)))] }
-
-
-
-def A203135():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(7*x)-(2*x**2)))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A203136():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(15*x))+(2*x**2)))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A203150():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/((1-(4*x**2))+(4*x**4)))] }
-
-
-
-def A203160():
- x = SR.var('x')
- return { 'ogf': [((x*((36*x**4)+(16*x**3)+(11*x**2)+(5*x)+1))/((6*x**3)-1)**2)] }
-
-
-
-def A203161():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)+1)*((3*x**3)+(8*x**2)+x+1))/((6*x**3)-1)**2)] }
-
-
-
-def A203163():
- x = SR.var('x')
- return { 'ogf': [((x*((36*x**6)+(28*x**5)+(26*x**4)+(50*x**3)+(11*x**2)+(3*x)+1))/((24*x**4)-1)**2)] }
-
-
-
-def A203164():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(14*x**2)+(50*x**3)+(176*x**4)+(80*x**5)+(64*x**6)))/((-1)+(24*x**4))**2)] }
-
-
-
-def A203165():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(19*x**2)+(50*x**3)+(126*x**4)+(432*x**5)+(144*x**6)))/(((-1)+(24*x**4)))**2)] }
-
-
-
-def A203166():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(11*x**2)+(50*x**3)+(274*x**4)+(154*x**5)+(188*x**6)+(324*x**7)+(576*x**8)))/(((-1)+(120*x**5)))**2)] }
-
-
-
-def A203175():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x**2))/((-1)+x+(2*x**3))))] }
-
-
-
-def A203184():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x**2)*(x**6+(6*x**4)+(9*x**2)+1))/((((((((((-1)+(5*x))-(10*x**2))+(20*x**3))-(15*x**4))+(21*x**5))-(7*x**6))+(8*x**7))-x**8)+x**9)))] }
-
-
-
-def A203230():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/((-1)+(3*x**2))**2)] }
-
-
-
-def A203231():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(9*x**2)))/((-1)+(3*x**2))**2)] }
-
-
-
-def A203232():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((4*x)+1))/((-1)+(6*x**2))**2)] }
-
-
-
-def A203233():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(9*x**2)))/((-1)+(6*x**2))**2)] }
-
-
-
-def A203234():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(7*x**3)+(5*x**4)+(3*x**5)+x**6))/((-1)+(2*x**4))**2)] }
-
-
-
-def A203235():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(10*x**3)+(7*x**4)+(4*x**5)+x**6))/((-1)+(3*x**4))**2)] }
-
-
-
-def A203241():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A203242():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((4*x**2)+(2*x))-3))/((x-1)**3*((2*x)-1)**2*((4*x)-1))))] }
-
-
-
-def A203243():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2)/((x-1)*((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A203244():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2)/((x-1)*((4*x)-1)*((16*x)-1))))] }
-
-
-
-def A203245():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3-x**2-(3*x)-2))/((x-1)*(x+1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A203298():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**5-x**4-(3*x**3))+(3*x**2)+(4*x)+2))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A203299():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+2)*((x**4-x**3-(3*x**2))+(3*x)+2))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A203408():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(539*x)+(807548*x**2)+(10633*x**3)+(27*x**4)))/((1-x)*((1-(1442*x))+x**2)*(1+(1442*x)+x**2)))] }
-
-
-
-def A203409():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(14*x))-(382*x**2)-(62*x**3)-(3*x**4)))/((1-x)*((1-(38*x))+x**2)*(1+(38*x)+x**2)))] }
-
-
-
-def A203410():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(11*x))-(604*x**2))+(49*x**3)+(3*x**4)))/((1-x)*((1-(38*x))+x**2)*(1+(38*x)+x**2)))] }
-
-
-
-def A203464():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(5*x)+(47*x**2)+(5*x**3)+(4*x**4)))/((1-x)**2*(1+x+x**2+x**3)))] }
-
-
-
-def A203551():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/(1-x)**4)] }
-
-
-
-def A203552():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)))/(1-x)**4)] }
-
-
-
-def A203624():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16770*x)+(85*x**2)))/((1-x)*((1-(37634*x))+x**2)))] }
-
-
-
-def A203625():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(60*x)-(5*x**2)))/((1-x)*((1-(194*x))+x**2)))] }
-
-
-
-def A203626():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(78*x))+(5*x**2)))/((1-x)*((1-(194*x))+x**2)))] }
-
-
-
-def A203627():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(406348*x)+(451*x**2)))/((1-x)*((1-(806402*x))+x**2)))] }
-
-
-
-def A203628():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(310*x)-(11*x**2)))/((1-x)*((1-(898*x))+x**2)))] }
-
-
-
-def A203629():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(348*x))+(11*x**2)))/((1-x)*((1-(898*x))+x**2)))] }
-
-
-
-def A203719():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x**9+(9*x**8)+(64*x**7)+(16*x**6)+(118*x**5)+(118*x**4)+(64*x**3)+(16*x**2)+(9*x)+1))/((x-1)*(x+1)*(x**2-(4*x)-1)*(x**2+1)*((x**2+(4*x))-1)*(x**4+(18*x**2)+1))))] }
-
-
-
-def A203803():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+x)-x**2)**3*(1-(4*x)-x**2)))] }
-
-
-
-def A203804():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**6*(1+(3*x)+x**2)**4*((1-(7*x))+x**2)))] }
-
-
-
-def A203805():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-x**2)**10*((1+(4*x))-x**2)**5*(1-(11*x)-x**2)))] }
-
-
-
-def A203806():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**20*((1-(3*x))+x**2)**15*(1+(7*x)+x**2)**6*((1-(18*x))+x**2)))] }
-
-
-
-def A203807():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+x)-x**2)**35*(1-(4*x)-x**2)**21*((1+(11*x))-x**2)**7*(1-(29*x)-x**2)))] }
-
-
-
-def A203976():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+x**2))/(((x**2+x)-1)*(x**2-x-1)))] }
-
-
-
-def A204061():
- x = SR.var('x')
- return { 'ogf': [(1/(sqrt((1+x))*((1-(6*x))+x**2)**(1/4)))] }
-
-
-
-def A204062():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**2*((1-(6*x))+x**2)))] }
-
-
-
-def A204089():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(2*x)))/((1-(4*x))+(2*x**2))),
-(((x-1)*((2*x)-1))/((1-(4*x))+(2*x**2)))] }
-
-
-
-def A204090():
- x = SR.var('x')
- return { 'ogf': [(((((-(4*x**3))+(10*x**2))-(5*x))+1)/((1-x)*(1-(2*x))*((1-(4*x))+(2*x**2))))] }
-
-
-
-def A204091():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(2*x)))/((1-(5*x))+(2*x**2)))] }
-
-
-
-def A204092():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))+(12*x**2))-(4*x**3))/((1-x)*(1-(2*x))*((1-(5*x))+(2*x**2))))] }
-
-
-
-def A204185():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*((3*x)+2))/((x-1)**5*(x+1))))] }
-
-
-
-def A204200():
- x = SR.var('x')
- return { 'ogf': [((-1)+(1/(1-x-(x**3/(1-(3*x))))))] }
-
-
-
-def A204221():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-x)+1)*(x**4+(8*x**3)+(12*x**2)+(8*x)+1))/((1+x)**2*(x**2+1)**2*(x-1)**3)))] }
-
-
-
-def A204238():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-2))/((4*x)+1)**2))] }
-
-
-
-def A204240():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x)-1))/((5*x)+1)**2))] }
-
-
-
-def A204418():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1-x**3))] }
-
-
-
-def A204419():
- x = SR.var('x')
- return { 'ogf': [((1.81938015856416E15*x**2)/((1-(6.4376241658269696E16*x))+x**2))] }
-
-
-
-def A204467():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)+1)*(x**2+(4*x)+1))/((x+1)*(x-1)**3)))] }
-
-
-
-def A204468():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x**4)+(9*x**3)+(12*x**2)+(5*x)+1))/((x**2+x+1)*(x-1)**4))] }
-
-
-
-def A204469():
- x = SR.var('x')
- return { 'ogf': [(-(((12*x**10)+(390*x**9)+(1821*x**8)+(4057*x**7)+(6070*x**6)+(6651*x**5)+(5374*x**4)+(3123*x**3)+(1112*x**2)+(139*x)+1)/((x**2+x+1)*(x**2+1)*(x+1)**2*(x-1)**5)))] }
-
-
-
-def A204470():
- x = SR.var('x')
- return { 'ogf': [((x*((32*x**9)+(352*x**8)+(979*x**7)+(1370*x**6)+(1425*x**5)+(1394*x**4)+(1072*x**3)+(449*x**2)+(54*x)+1))/((x+1)*(x**4+x**3+x**2+x+1)*(x-1)**6))] }
-
-
-
-def A204471():
- x = SR.var('x')
- return { 'ogf': [(-(((94*x**21)+(18950*x**20)+(265472*x**19)+(1391863*x**18)+(4387222*x**17)+(10120300*x**16)+(18809933*x**15)+(29668549*x**14)+(40847915*x**13)+(49820911*x**12)+(54281003*x**11)+(53032087*x**10)+(46410392*x**9)+(36173353*x**8)+(24844747*x**7)+(14749481*x**6)+(7293277*x**5)+(2809833*x**4)+(741117*x**3)+(101368*x**2)+(3368*x)+1)/(((x**2-x)+1)*(x**4+x**3+x**2+x+1)*(x**2+1)*(x**2+x+1)**2*(x+1)**3*(x-1)**7)))] }
-
-
-
-def A204472():
- x = SR.var('x')
- return { 'ogf': [((x*((289*x**20)+(11190*x**19)+(91493*x**18)+(352388*x**17)+(898356*x**16)+(1737191*x**15)+(2761013*x**14)+(3796426*x**13)+(4655081*x**12)+(5159765*x**11)+(5190716*x**10)+(4740985*x**9)+(3917109*x**8)+(2893806*x**7)+(1858105*x**6)+(988551*x**5)+(403560*x**4)+(111720*x**3)+(15477*x**2)+(522*x)+1))/((x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*(x**2+x+1)**2*(x-1)**8))] }
-
-
-
-def A204473():
- x = SR.var('x')
- return { 'ogf': [(-(((910*x**30)+(1040804*x**29)+(38021156*x**28)+(382272336*x**27)+(1924406509*x**26)+(6.310497232E9*x**25)+(1.5598550757E10*x**24)+(3.1691324994E10*x**23)+(5.5644068089E10*x**22)+(8.7101380417E10*x**21)+(1.24235349095E11*x**20)+(1.63834246902E11*x**19)+(2.01423850605E11*x**18)+(2.3197243436E11*x**17)+(2.50948109605E11*x**16)+(2.55267409282E11*x**15)+(2.44185313288E11*x**14)+(2.19577712922E11*x**13)+(1.85287461384E11*x**12)+(1.46192435862E11*x**11)+(1.07203950569E11*x**10)+(7.2278724244E10*x**9)+(4.4015118309E10*x**8)+(2.3603015876E10*x**7)+(1.0732396387E10*x**6)+(3.881615945E9*x**5)+(1000947039*x**4)+(152795052*x**3)+(9570989*x**2)+(94254*x)+1)/((x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*(x**4+1)*(x**2+1)**2*(x+1)**4*(x-1)**9)))] }
-
-
-
-def A204474():
- x = SR.var('x')
- return { 'ogf': [(((2934*x**31)+(348266*x**30)+(6597024*x**29)+(49734090*x**28)+(217728951*x**27)+(667463008*x**26)+(1585348242*x**25)+(3.103463874E9*x**24)+(5.228487221E9*x**23)+(7.832917054E9*x**22)+(1.0700328447E10*x**21)+(1.3574603633E10*x**20)+(1.617289219E10*x**19)+(1.8185529447E10*x**18)+(1.9316679453E10*x**17)+(1.9372433191E10*x**16)+(1.8342644114E10*x**15)+(1.6405735056E10*x**14)+(1.3851791136E10*x**13)+(1.0991882803E10*x**12)+(8.111849599E9*x**11)+(5.470428985E9*x**10)+(3.289797304E9*x**9)+(1708913237*x**8)+(735273835*x**7)+(246947710*x**6)+(58833425*x**5)+(8344142*x**4)+(496184*x**3)+(5444*x**2)+x)/((x**2+1)*(x**6+x**3+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*(x+1)**2*(x**2+x+1)**3*(x-1)**10))] }
-
-
-
-def A204502():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+x+1)*((x**3-x)+1))/(x-1)**2)] }
-
-
-
-def A204503():
- x = SR.var('x')
- return { 'ogf': [((x**2*((7*x**6)-(12*x**5)-(11*x**4)-x-1))/(x-1)**3)] }
-
-
-
-def A204504():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+(4*x)+x**2+(4*x**3)))/(((1-(35*x**2))+(35*x**4))-x**6))] }
-
-
-
-def A204512():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1+(2*x)))/((1-(6*x**2))+x**4))] }
-
-
-
-def A204513():
- x = SR.var('x')
- return { 'ogf': [((x**4+(9*x**5)+(36*x**6)+(34*x**7)+(9*x**8)+(36*x**9)+x**10)/(((1-(255*x**3))+(255*x**6))-x**9))] }
-
-
-
-def A204514():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(2*x**3))-(3*x**4)-(6*x**5))/((1-(6*x**2))+x**4))] }
-
-
-
-def A204516():
- x = SR.var('x')
- return { 'ogf': [(((x+(2*x**2)+(3*x**3))-(8*x**4)-(16*x**5)-(3*x**6))/((1-(16*x**3))+x**6))] }
-
-
-
-def A204517():
- x = SR.var('x')
- return { 'ogf': [((x**4+(3*x**5)+(6*x**6)+x**7)/((1-(16*x**3))+x**6))] }
-
-
-
-def A204518():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*(((3*x**4)+(7*x**3))-(2*x**2)-x-1))/((x**6-(10*x**3))+1)))] }
-
-
-
-def A204519():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**3+(4*x**2)+(2*x)+1))/((x**6-(10*x**3))+1))] }
-
-
-
-def A204520():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*(((3*x**6)+(4*x**5)+(14*x**4))-(5*x**3)-(2*x**2)-x-1))/((x**4-(4*x**2)-1)*((x**4+(4*x**2))-1))))] }
-
-
-
-def A204521():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x**5+(3*x**4)+(8*x**3)+(4*x**2)+(3*x)+1))/((x**4-(4*x**2)-1)*((x**4+(4*x**2))-1)))] }
-
-
-
-def A204542():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(7*x**2)+(3*x**3)+x**4))/((1-x)*(1-x**4)))] }
-
-
-
-def A204555():
- x = SR.var('x')
- return { 'ogf': [(((((1+x)-x**2)+x**3+(4*x**4)+(2*x**5))-x**6)/((1+x)**3*(x-1)**4))] }
-
-
-
-def A204556():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)+(12*x**3)+(3*x**4)+(3*x**5)))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A204557():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(3*x)-(14*x**2)-(6*x**3)-x**4)+x**5))/((1+x)**3*(x-1)**4)))] }
-
-
-
-def A204558():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**6+(4*x**5)+(31*x**4)+(24*x**3)+(31*x**2)+(4*x)+1))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A204573():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x**6+(16*x**5)+(4*x**4)+(22*x**3)+(16*x**2)+(4*x)+1))/((x-1)*(x**2+x+1)*((x**6-(98*x**3))+1))))] }
-
-
-
-def A204671():
- x = SR.var('x')
- return { 'ogf': [((x**6-(5*x**5)-(4*x**4)-(3*x**3)-(4*x**2)-x-1)/((x-1)*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A204675():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(15*x)))/(1-x)**3)] }
-
-
-
-def A204688():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2+x**4+(2*x**5))-x**6)/(1-x**6))] }
-
-
-
-def A204689():
- x = SR.var('x')
- return { 'ogf': [(((1+x+(3*x**3))-x**4)/(1-x**4))] }
-
-
-
-def A204693():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(4*x)-(2*x**37)-(6*x**2)-(4*x**22)-(4*x**24)-(4*x**25)-(6*x**26)-x**28-x**29-(3*x**30)-(6*x**40)-(2*x**31)-(6*x**32)-x**33-x**35-x**17-(5*x**18)-x**19-x**21-x**23-x**38-(2*x**39)-(2*x**36)-(4*x**3)-(3*x**4)-x**5-x**7-x**8-(4*x**9)-(2*x**10)-x**11-(6*x**12)-x**14-(2*x**15)-(5*x**16))/((x-1)*(1+x**6+x**5+x**4+x**3+x**2+x)*(1+x+x**2)*((((((((1-x)+x**3)-x**4)+x**6)-x**8)+x**9)-x**11)+x**12)*(1+x)*((((((1-x)+x**2)-x**3)+x**4)-x**5)+x**6)*((1-x)+x**2)*(((((1+x)-x**3-x**4)+x**6)-x**8-x**9)+x**11+x**12)))] }
-
-
-
-def A204696():
- x = SR.var('x')
- return { 'ogf': [((((32*x**7)/(1-(2*x)))+(16*x**5)+(24*x**6))/(1-(2*x**2)))] }
-
-
-
-def A204734():
- x = SR.var('x')
- return { 'ogf': [((x*(((15-(17*x)-(27*x**2))+(50*x**3))-(20*x**4)))/((1-x)**3*(1-x-(4*x**2))))] }
-
-
-
-def A204765():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((119*x**5)+x**4+(119*x**3))-(497*x**2)-(3*x)-217))/((x-1)*((x**6-(6*x**3))+1)))] }
-
-
-
-def A204766():
- x = SR.var('x')
- return { 'ogf': [((x*(13+(141*x)+(13*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A204769():
- x = SR.var('x')
- return { 'ogf': [((x*(46+(59*x)+(46*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A204877():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(27*x)+(3*x**2)+(9*x**3)))/((1-x)**2*(1+x)**2))] }
-
-
-
-def A205184():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(8*x)+(3*x**2)+x**3+(3*x**4))-x**5)+x**6+(9*x**7)))/((1-x)*(1+x)*(1+x**2)*((1-(sqrt(3)*x))+x**2)*(1+(sqrt(3)*x)+x**2)))] }
-
-
-
-def A205185():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+x**2))/((1-x)*(1+x)*((1-x)+x**2)))] }
-
-
-
-def A205219():
- x = SR.var('x')
- return { 'ogf': [((4*x*(2+(3*x)))/(1-x-(4*x**2)))] }
-
-
-
-def A205494():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((1+(4*x))-(31*x**2)-(67*x**3))+(348*x**4)+(418*x**5))-(1893*x**6)-(1084*x**7))+(4326*x**8)+(4295*x**9))-(7680*x**10)-(9172*x**11))+(9104*x**12)+(11627*x**13))-(5483*x**14)-(10773*x**15))+(1108*x**16)+(7255*x**17)+(315*x**18))-(3085*x**19)-(228*x**20))+(669*x**21)+(102*x**22))-(23*x**23)-(45*x**24)-(16*x**25))+(11*x**26)+(2*x**27))-x**28)/((1-x)**5*(1-x-x**2)**4*((1-(2*x)-x**2)+x**3)**3*((1-(2*x)-(3*x**2))+x**3+x**4)**2*(((1-(3*x)-(3*x**2))+(4*x**3)+x**4)-x**5)))] }
-
-
-
-def A205579():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2+x**9+x**10)-x**12)/(1-x**2-x**3))] }
-
-
-
-def A205644():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((23*x**17)+(9*x**16)+(91*x**15)+(17*x**14)+(7*x**13)+(17*x**12)+(91*x**11)+(9*x**10)+(23*x**9))-(113*x**8)-(43*x**7)-(377*x**6)-(55*x**5)-(21*x**4)-(47*x**3)-(169*x**2)-(11*x)-25))/((x-1)*((x**18-(6*x**9))+1)))] }
-
-
-
-def A205646():
- x = SR.var('x')
- return { 'ogf': [(-(((49*x)-17)/((x-1)*((3*x)-1))))] }
-
-
-
-def A205650():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(8*x**2)+(6*x**3)+x**4+(9*x**5)+(8*x**6)+(3*x**7)+x**8+(3*x**9)+(8*x**10)+(9*x**11)))/(1-x**12))] }
-
-
-
-def A205651():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(5*x**2)+(4*x**3)+(9*x**4)))/((1-x)*(1+x)*((1-x)+x**2)*(1+x+x**2)))] }
-
-
-
-def A205672():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((69*x**17)+(15*x**16)+(36*x**15)+(21*x**14)+(47*x**13)+(21*x**12)+(36*x**11)+(15*x**10)+(69*x**9))-(327*x**8)-(65*x**7)-(144*x**6)-(75*x**5)-(141*x**4)-(51*x**3)-(72*x**2)-(25*x)-87))/((x-1)*((x**18-(6*x**9))+1)))] }
-
-
-
-def A206012():
- x = SR.var('x')
- return { 'ogf': [(((((((x**15-x**13)+x**12)-(2*x**10)-(2*x**9))+(2*x**8))-x**7-(3*x**6)-(4*x**5))+(3*x**4)+x**3+x**2+x+1)/((x**15-(3*x**10)-(6*x**5))+1))] }
-
-
-
-def A206268():
- x = SR.var('x')
- return { 'ogf': [((((2*x**3)-(2*x**2)-x)+1)/(((x**4+(2*x**3))-x**2-(2*x))+1))] }
-
-
-
-def A206278():
- x = SR.var('x')
- return { 'ogf': [((128*x**5*((32*x**2)-1))/(((2*x)-1)*((2*x)+1)*((4*x)-1)*((4*x)+1)*((8*x)-1)))] }
-
-
-
-def A206282():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-x**2-(2*x**3)-(3*x**4)-x**5-x**6-x**7))/((1+(2*x**3))-(2*x**6)-x**9))] }
-
-
-
-def A206351():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(5*x)))/(((1-(8*x))+(8*x**2))-x**3))] }
-
-
-
-def A206374():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-(5*x))+(4*x**2)))] }
-
-
-
-def A206399():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(39*x)+x**2))/(1-x)**3)] }
-
-
-
-def A206417():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+3))/((x-1)*((x**2+x)-1)))] }
-
-
-
-def A206426():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((17*x**17)+(27*x**16)+(12*x**15)+(13*x**14)+(23*x**13)+(13*x**12)+(12*x**11)+(27*x**10)+(17*x**9))-(83*x**8)-(121*x**7)-(48*x**6)-(47*x**5)-(69*x**4)-(31*x**3)-(24*x**2)-(41*x)-19))/((x-1)*((x**18-(6*x**9))+1)))] }
-
-
-
-def A206481():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((1-(3*x))+(10*x**2))-(3*x**3))+x**4))/((1-x)**4*(1+x**2)))] }
-
-
-
-def A206525():
- x = SR.var('x')
- return { 'ogf': [((x*(51+(11*x)+(51*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A206526():
- x = SR.var('x')
- return { 'ogf': [((x*(31+(75*x)+(31*x**2)))/((1+x)*(x-1)**2))] }
-
-
-
-def A206565():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(37*x))+x**2))] }
-
-
-
-def A206568():
- x = SR.var('x')
- return { 'ogf': [(((-(4*x**8))-(6*x**7)-(9*x**6)-(4*x**5)-(5*x**4)-(6*x**3)-x**2-x-1)/(((64*x**12)+(69*x**9)+(21*x**6))-x**3-1))] }
-
-
-
-def A206603():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x**2))))/(2*((2*x)-1)**2))] }
-
-
-
-def A206604():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+((1-sqrt((1-(4*x**2))))/((2*x)-1)**2))] }
-
-
-
-def A206625():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-x**2)*(1+x**3))/((1-(2*x**2)-(2*x**4)-(2*x**6))+x**8))] }
-
-
-
-def A206723():
- x = SR.var('x')
- return { 'ogf': [(-((7*x*(1+x))/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A206727():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3-(2*x**2))+x**4))/((((-1)+(3*x))-(2*x**3))+x**5)))] }
-
-
-
-def A206776():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/(1-(3*x)-(2*x**2)))] }
-
-
-
-def A206790():
- x = SR.var('x')
- return { 'ogf': [(-((x*(4+x**2))/((((-1)+(4*x))-x**2)+x**3)))] }
-
-
-
-def A206806():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((2*x**2)+x+1))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A206808():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**2+(10*x)+7))/(x-1)**5))] }
-
-
-
-def A206809():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+(10*x)+7))/(x-1)**6)] }
-
-
-
-def A206810():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**3+(25*x**2)+(55*x)+15))/(x-1)**6)] }
-
-
-
-def A206811():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**3+(25*x**2)+(55*x)+15))/(x-1)**7))] }
-
-
-
-def A206901():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(4*x**2))/(((1-(7*x))+(10*x**2))-(3*x**3)))] }
-
-
-
-def A206902():
- x = SR.var('x')
- return { 'ogf': [((((1-(4*x))+(3*x**2))-x**3)/(((1-(6*x))+(7*x**2))-(3*x**3)))] }
-
-
-
-def A206917():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**2)+(3*x)+1))/((8*x**2)-1)))] }
-
-
-
-def A206918():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(4*x**2)))/((x-1)*((8*x**2)-1)))] }
-
-
-
-def A206927():
- x = SR.var('x')
- return { 'ogf': [((x*((2+x**2+x**4+x**5)-(2*x**6)))/((x-1)*((2*x)-1)*(1+x)*((x**2-x)+1)*(1+x+x**2))),
-((x*((2+x**2+x**4+x**5)-(2*x**6)))/((1-(2*x))*(1-x**6)))] }
-
-
-
-def A206947():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x)*x**3)/(((1-(3*x))+x**2)*((1-(5*x))+(5*x**2))))] }
-
-
-
-def A206948():
- x = SR.var('x')
- return { 'ogf': [((x**3*((2-(3*x))+(2*x**2)))/(((1-(6*x))+(6*x**2))*(((1-(5*x))+(4*x**2))-x**3)))] }
-
-
-
-def A206949():
- x = SR.var('x')
- return { 'ogf': [((3*(1-x)*x**3)/((1-(3*x))*(((1-(6*x))+(9*x**2))-(3*x**3))))] }
-
-
-
-def A206950():
- x = SR.var('x')
- return { 'ogf': [(((((3*x**3)-(6*x**4))+(7*x**5))-(3*x**6))/(((((-1)+(7*x))-(10*x**2))+(3*x**3))*((((-1)+(6*x))-(7*x**2))+(3*x**3))))] }
-
-
-
-def A206981():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((-1)-(2*x))+x**2))/((1+x)*((x**2-(3*x))+1))))] }
-
-
-
-def A207021():
- x = SR.var('x')
- return { 'ogf': [((13*x*(((1+(8*x))-(7*x**2))+(2*x**3)))/(1-x)**5)] }
-
-
-
-def A207022():
- x = SR.var('x')
- return { 'ogf': [((18*x*(((1+(13*x))-(5*x**2))+(2*x**3)))/(1-x)**5)] }
-
-
-
-def A207023():
- x = SR.var('x')
- return { 'ogf': [((25*x*((((1+(19*x))-(14*x**2))+(7*x**3))-(2*x**4)))/(1-x)**6)] }
-
-
-
-def A207058():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((95*x**5)+(73*x**4)+(95*x**3))-(425*x**2)-(219*x)-145))/((x-1)*((x**6-(6*x**3))+1)))] }
-
-
-
-def A207059():
- x = SR.var('x')
- return { 'ogf': [((x*(((85*x**9)+(48*x**8)+(23*x**7)+(48*x**6)+(85*x**5))-(391*x**4)-(176*x**3)-(69*x**2)-(112*x)-119))/((x-1)*((x**10-(6*x**5))+1)))] }
-
-
-
-def A207060():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((161*x**5)+(79*x**4)+(161*x**3))-(707*x**2)-(237*x)-259))/((x-1)*((x**6-(6*x**3))+1)))] }
-
-
-
-def A207061():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((76*x**5)+(281*x**4)+(76*x**3))-(364*x**2)-(843*x)-92))/((x-1)*((x**6-(6*x**3))+1)))] }
-
-
-
-def A207075():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((180*x**5)+(119*x**4)+(180*x**3))-(800*x**2)-(357*x)-280))/((x-1)*((x**6-(6*x**3))+1)))] }
-
-
-
-def A207076():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((135*x**5)+(217*x**4)+(135*x**3))-(625*x**2)-(651*x)-185))/((x-1)*((x**6-(6*x**3))+1)))] }
-
-
-
-def A207077():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((77*x**17)+(75*x**16)+(61*x**15)+(12*x**14)+(47*x**13)+(12*x**12)+(61*x**11)+(75*x**10)+(77*x**9))-(371*x**8)-(325*x**7)-(227*x**6)-(40*x**5)-(141*x**4)-(32*x**3)-(139*x**2)-(125*x)-91))/((x-1)*((x**18-(6*x**9))+1)))] }
-
-
-
-def A207078():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((31*x**17)+(89*x**16)+(76*x**15)+(23*x**14)+(73*x**13)+(23*x**12)+(76*x**11)+(89*x**10)+(31*x**9))-(153*x**8)-(411*x**7)-(304*x**6)-(81*x**5)-(219*x**4)-(57*x**3)-(152*x**2)-(123*x)-33))/((x-1)*((x**18-(6*x**9))+1)))] }
-
-
-
-def A207262():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1-(4*x)))/((1-x)*(1-(16*x))))] }
-
-
-
-def A207361():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+(5*x)+1))/(x-1)**6)] }
-
-
-
-def A207832():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(18*x))+x**2))] }
-
-
-
-def A208034():
- x = SR.var('x')
- return { 'ogf': [(sqrt((1+x))/((1-(6*x))+x**2)**(1/4))] }
-
-
-
-def A208131():
- x = SR.var('x')
- return { 'ogf': [(-(((6*x**2)+(3*x)+1)/((12*x**3)-1)))] }
-
-
-
-def A208145():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((12+(120*x)+x**23)-(2*x**22)-(10*x**21))+(22*x**20)+(44*x**19))-(110*x**18)-(110*x**17))+(330*x**16)+(165*x**15))-(660*x**14)-(132*x**13))+(924*x**12)+(25*x**11))-(794*x**10))+(818*x**9)+(2110*x**8)+(2960*x**7)+(3070*x**6)+(3910*x**5)+(2310*x**4)+(1281*x**3)+(348*x**2)))/((1+x)**11*(x-1)**13)))] }
-
-
-
-def A208176():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**3)-(5*x**2))+1)/(((x**4-(3*x**3))+(3*x))-1)))] }
-
-
-
-def A208215():
- x = SR.var('x')
- return { 'ogf': [(1+((2*x*((2-(13*x))+(16*x**2)))/(((1-(15*x))+(55*x**2))-(51*x**3))))] }
-
-
-
-def A208354():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x-1)**2)/((x**2+x)-1)**2)] }
-
-
-
-def A208481():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-(3*x)-x**3-x**4))] }
-
-
-
-def A208658():
- x = SR.var('x')
- return { 'ogf': [((x**2*((4-(7*x))+(2*x**2)))/((1-x)**2*(1-(2*x))**2))] }
-
-
-
-def A208674():
- x = SR.var('x')
- return { 'ogf': [(-(((((4*x**4)+(2*x**3)+(6*x**2))-(4*x))+1)/((((4*x**5)-(2*x**4)-(14*x**3)-x**2)+(5*x))-1)))] }
-
-
-
-def A208736():
- x = SR.var('x')
- return { 'ogf': [(((x**3-(3*x**4))+(3*x**5))/((((1-(8*x))+(21*x**2))-(20*x**3))+(5*x**4)))] }
-
-
-
-def A208742():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**21+(2*x**20)+x**19+x**18+x**17)-(2*x**16)-(6*x**15)-(4*x**14)-(3*x**13)-(3*x**12)-(9*x**11)-(12*x**10)-(3*x**9)-(6*x**8)-(6*x**7)-(2*x**6))+(6*x**5)+(8*x**4)+(4*x**3)+(2*x**2)+(2*x)+2))/(((x**2+x)-1)*(x**10-(4*x**5)-1)*((x**10+x**5)-1))))] }
-
-
-
-def A208880():
- x = SR.var('x')
- return { 'ogf': [(-((((((11*x**6)-(10*x**5)-(22*x**4))+(24*x**3)+(2*x**2))-(2*x))+1)/(((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A208900():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(4*x))+(4*x**3)))/((1-x)*(1-(2*x**2))*(1-(2*x))))] }
-
-
-
-def A208901():
- x = SR.var('x')
- return { 'ogf': [((4*x**2)/((1-(2*x)-(2*x**2))+(4*x**3)))] }
-
-
-
-def A208950():
- x = SR.var('x')
- return { 'ogf': [((x**2+x**3+(5*x**4)+(5*x**5)+(31*x**6)+(10*x**7)+(22*x**8)+(10*x**9)+(31*x**10)+(5*x**11)+(5*x**12)+x**13+x**14)/((1-x)**4*(1+x)**4*(1+(4*x**2)+(6*x**4)+(4*x**6)+x**8))),
-((1+x**12+(x*(1+x**10))+(5*x**2*(1+x**8))+(5*x**3*(1+x**7))+(31*x**4*(1+x**4))+(10*x**5*(1+x**2))+(22*x**6))/(1-x**4)**4)] }
-
-
-
-def A208954():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(1+x)*((2*x**2)+(11*x)+2))/(x-1)**7))] }
-
-
-
-def A209084():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(1-(2*x)-(4*x**2)))] }
-
-
-
-def A209200():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))**(-(1/2))*(1-(8*x))**(-(1/4)))] }
-
-
-
-def A209230():
- x = SR.var('x')
- return { 'ogf': [(((1-x-x**2)*(1-x)**2)/(((1-(4*x))+(4*x**2))-(2*x**4)))] }
-
-
-
-def A209262():
- x = SR.var('x')
- return { 'ogf': [(-(((4*x**4)+(29*x**3)+(57*x**2)+(5*x)+1)/(x-1)**5))] }
-
-
-
-def A209263():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x)+(182*x**2)+(302*x**3)+(105*x**4)+x**5)/(x-1)**6)] }
-
-
-
-def A209264():
- x = SR.var('x')
- return { 'ogf': [(-(((5*x**6)+(238*x**5)+(1615*x**4)+(1932*x**3)+(515*x**2)+(14*x)+1)/(x-1)**7))] }
-
-
-
-def A209265():
- x = SR.var('x')
- return { 'ogf': [((1+(20*x)+(1341*x**2)+(9754*x**3)+(16595*x**4)+(6960*x**5)+(607*x**6)+(2*x**7))/(x-1)**8)] }
-
-
-
-def A209267():
- x = SR.var('x')
- return { 'ogf': [(-(((6*x**8)+(1371*x**7)+(27991*x**6)+(115317*x**5)+(131793*x**4)+(42757*x**3)+(3297*x**2)+(27*x)+1)/(x-1)**9))] }
-
-
-
-def A209275():
- x = SR.var('x')
- return { 'ogf': [(((3*x**9)+(3153*x**8)+(104852*x**7)+(706780*x**6)+(1389234*x**5)+(883142*x**4)+(170932*x**3)+(7788*x**2)+(35*x)+1)/(x-1)**10)] }
-
-
-
-def A209294():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)+(2*x**2)))/(1-x)**3)] }
-
-
-
-def A209350():
- x = SR.var('x')
- return { 'ogf': [(-((((((3*x**6)-(5*x**5)-(2*x**4))+(5*x**3)+x**2)-(2*x))+1)/((x+1)*(x-1)**3)))] }
-
-
-
-def A209358():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))**(-(1/4))*(1-(8*x))**(-(1/8)))] }
-
-
-
-def A209359():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x))*(1+(20*x)+(4*x**2)))/((1-x)*(1-(2*x))**5))] }
-
-
-
-def A209398():
- x = SR.var('x')
- return { 'ogf': [(((2*x**3)+(1*x**4))/((((1-(3*x))+(2*x**2))-x**3)+x**4+(2*x**5)))] }
-
-
-
-def A209399():
- x = SR.var('x')
- return { 'ogf': [((((4*x**4)+(2*x**5))-x**6-(2*x**7)-x**8)/(((((1-(3*x))+(1*x**2)+(3*x**3))-(3*x**4))+x**5+x**6+(3*x**7))-x**8-(2*x**9)))] }
-
-
-
-def A209400():
- x = SR.var('x')
- return { 'ogf': [(((2*x**4)+x**5)/((((1-(3*x))+x**2+(2*x**3))-x**4)+x**5+(2*x**6)))] }
-
-
-
-def A209404():
- x = SR.var('x')
- return { 'ogf': [(-((x-1)/((2*x)-1)**8))] }
-
-
-
-def A209408():
- x = SR.var('x')
- return { 'ogf': [((x**5*((8+(4*x))-(2*x**2)-(3*x**3)-(2*x**4)-x**5-x**6-x**7-(2*x**8)-x**9))/((1-x)*(1+x)*(1-(2*x))*(1+x**2)*(1-x-x**2)*(1+(3*x**4)+x**8)))] }
-
-
-
-def A209409():
- x = SR.var('x')
- return { 'ogf': [((x**5*((4+(3*x))-(2*x**3)-x**4))/((1-(2*x))*(1-x-x**2-x**3)*((1+x**2+x**4)-x**6)))] }
-
-
-
-def A209410():
- x = SR.var('x')
- return { 'ogf': [(((1+(1*x)+(2*x**2)+(2*x**3)+(4*x**4)+(2*x**5))-(1*x**6)-(2*x**7)-x**8)/(((-1)+x+x**2+x**3)*(((-1)-x**2-x**4)+x**6)))] }
-
-
-
-def A209528():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((72*x**9)-(312*x**8))+(546*x**7))-(492*x**6))+(325*x**5))-(202*x**4))+(109*x**3))-(43*x**2))+(10*x))-1)/((x-1)**3*((2*x)-1)**2*((3*x)-1))))] }
-
-
-
-def A209721():
- x = SR.var('x')
- return { 'ogf': [((x*((3+x)-(5*x**2)))/((1-x)*(1-(2*x**2))))] }
-
-
-
-def A209888():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*((x**2-x)+1))/((((x**5-(2*x**4))+x**3)-(2*x))+1))] }
-
-
-
-def A209890():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(6*x)))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A209891():
- x = SR.var('x')
- return { 'ogf': [((2*x*((17+(4*x))-(36*x**2)))/((1-(8*x)-(4*x**2))+(16*x**3)))] }
-
-
-
-def A209971():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-1)+(2*x)))/(((x**2+(2*x))-1)*(x-1)**2))] }
-
-
-
-def A210003():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+1)/(((x**5-x**4)+(2*x))-1)))] }
-
-
-
-def A210021():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+x**3+1)/((((x**5+x**4)-x**3)+(2*x))-1)))] }
-
-
-
-def A210031():
- x = SR.var('x')
- return { 'ogf': [(-((x**5+1)/(((x**6-x**5)+(2*x))-1)))] }
-
-
-
-def A210045():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x))**2)/((1-(3*x)-(2*x**2))*(1-(4*x)-(4*x**2))))] }
-
-
-
-def A210064():
- x = SR.var('x')
- return { 'ogf': [((x/(2*(1-(4*x))**2))+((x-1)/(2*(1-(4*x))**(3/2)))+(1/(2-(8*x))))] }
-
-
-
-def A210209():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((x**12-x**11)+(2*x**10))-x**9-(2*x**8)-x**7-(6*x**6))+x**5)-(2*x**4))+x**3+(2*x**2)+x+1))/(((x**14-(3*x**10)-x**8)+x**6+(3*x**4))-1)))] }
-
-
-
-def A210369():
- x = SR.var('x')
- return { 'ogf': [(-((x**7+(9*x**6)+(27*x**5)+(83*x**4)+(59*x**3)+(51*x**2)+(9*x)+1)/((x-1)**5*(x+1)**4)))] }
-
-
-
-def A210370():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((3*x**5)+(17*x**4)+(16*x**3)+(28*x**2)+(5*x)+3))/((x-1)**5*(x+1)**4)))] }
-
-
-
-def A210427():
- x = SR.var('x')
- return { 'ogf': [((x*((12*x**2)+(6*x**3)+x**4+1+(6*x)))/(x-1)**6)] }
-
-
-
-def A210428():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**4+(8*x**3)+(20*x**2)+(8*x)+1))/(x-1)**7))] }
-
-
-
-def A210429():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)**2*(x**4+(10*x**3)+(36*x**2)+(10*x)+1))/(x-1)**8)] }
-
-
-
-def A210430():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**6+(15*x**5)+(90*x**4)+(170*x**3)+(90*x**2)+(15*x)+1))/(x-1)**9))] }
-
-
-
-def A210431():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(20*x**7)+(179*x**6)+(630*x**5)+(960*x**4)+(630*x**3)+(179*x**2)+(20*x)+1))/(x-1)**10)] }
-
-
-
-def A210432():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**8+(24*x**7)+(265*x**6)+(1132*x**5)+(1904*x**4)+(1132*x**3)+(265*x**2)+(24*x)+1))/(x-1)**11))] }
-
-
-
-def A210433():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**3+x**2+(3*x)+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A210440():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(1-x)**4)] }
-
-
-
-def A210448():
- x = SR.var('x')
- return { 'ogf': [((3*x)/(((3*x)-1)*((2*x)-1)))] }
-
-
-
-def A210460():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-x-(2*x**2)-(2*x**3)-x**4))] }
-
-
-
-def A210464():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((2*x**5)-(4*x**4)-(2*x**3))+(8*x**2))-(3*x)-4))/((x-1)**4*(x+1)**2)))] }
-
-
-
-def A210474():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((1+(3*x))-sqrt((((9*x**2)-(10*x))+1))))/(8*x))] }
-
-
-
-def A210496():
- x = SR.var('x')
- return { 'ogf': [((((1-x**2)*sqrt(((1-x)*(1-x-(4*x**2)))))-(((((1-(3*x)-(2*x**2))+(14*x**3))-(15*x**4))+(3*x**5))/(1-x)**2))/(2*x**2*((1-(3*x))+x**2)))] }
-
-
-
-def A210569():
- x = SR.var('x')
- return { 'ogf': [((4*x**4)/(1-x)**6)] }
-
-
-
-def A210626():
- x = SR.var('x')
- return { 'ogf': [(((3449-(7178*x))+(3737*x**2))/(1-x)**3)] }
-
-
-
-def A210628():
- x = SR.var('x')
- return { 'ogf': [(1-((2*x)/(1+sqrt((1-(4*x**2))))))] }
-
-
-
-def A210631():
- x = SR.var('x')
- return { 'ogf': [(x**12/((1-x)*(1-x**2)**2*(1-x**3)*(1-x**4)))] }
-
-
-
-def A210632():
- x = SR.var('x')
- return { 'ogf': [(x**30/((x-1)**10*(x+1)**6*((x**2-x)+1)*(x**2+1)**2*(x**2+x+1)**3*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A210633():
- x = SR.var('x')
- return { 'ogf': [(x**18/((1-x)**2*(1-x**2)**3*(1-x**3)**2*(1-x**4)))] }
-
-
-
-def A210634():
- x = SR.var('x')
- return { 'ogf': [(x**12/((1-x)**3*(1-x**2)**3*(1-x**3)))] }
-
-
-
-def A210645():
- x = SR.var('x')
- return { 'ogf': [((84*x*(1+x))/(1-x)**3)] }
-
-
-
-def A210673():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1)**2)/((x-1)**2*((x**2+x)-1))))] }
-
-
-
-def A210675():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**2)-(4*x)-1))/((x-1)**2*((x**2+x)-1)))] }
-
-
-
-def A210677():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(4*x**2))-(2*x**3))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A210678():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(5*x**2))-(3*x**3))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A210687():
- x = SR.var('x')
- return { 'ogf': [((x**3*((2*x**11)+(6*x**10)+(68*x**9)+(167*x**8)+(302*x**7)+(417*x**6)+(479*x**5)+(439*x**4)+(334*x**3)+(199*x**2)+(88*x)+16))/((x-1)**4*(x+1)*(x**2+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A210695():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A210699():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(62*x)+(315*x**2)+(877*x**3)+(872*x**4)+(351*x**5)+(40*x**6)+(2*x**7)))/(1-x)**9)] }
-
-
-
-def A210728():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(3*x**2))-(2*x**3))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A210729():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(4*x**2))-(3*x**3))/((1-x-x**2)*(1-x)**2))] }
-
-
-
-def A210730():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4-(3*x)))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A210731():
- x = SR.var('x')
- return { 'ogf': [((x**2*(5-(4*x)))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A210736():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((-1)+(2*x)+sqrt((1-(4*x**2)))))] }
-
-
-
-def A210766():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(3*x)+(57*x**2)+(262*x**3)+(582*x**4)+(321*x**5)+(34*x**6)))/(1-x)**9)] }
-
-
-
-def A210977():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(2*x)+(2*x**2)))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A210978():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**2)+(4*x)+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A210981():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(6*x)+(2*x**2)))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A210982():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(7*x)+(2*x**2)))/((1+x)**2*(x-1)**3)))] }
-
-
-
-def A211010():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((2*x**2)+1))/((x-1)*(x**2+1))))] }
-
-
-
-def A211013():
- x = SR.var('x')
- return { 'ogf': [((x*(10+x))/(1-x)**3)] }
-
-
-
-def A211164():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**4)-x**3-(3*x**2))+x+1)/(((-(4*x**4))+(4*x**2))-1)))] }
-
-
-
-def A211216():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+x**2)*((1-(5*x))+(5*x**2)))/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5)),
-(1/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-(x/(1-x))))))))))))))))))] }
-
-
-
-def A211221():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2))/(1-(3*x**2)))] }
-
-
-
-def A211379():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*(x**2-x-3))/((x-1)**4*(x+1)**2)))] }
-
-
-
-def A211380():
- x = SR.var('x')
- return { 'ogf': [((x**4*((2*x**5)-(3*x**4)-(7*x**3)-x**2-(2*x)-1))/((x-1)**5*(x+1)**2))] }
-
-
-
-def A211381():
- x = SR.var('x')
- return { 'ogf': [((x**7*((2*x**2)-(3*x)-7))/((x-1)**5*(x+1)**2))] }
-
-
-
-def A211390():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**12-x**11)+x**8)-x**7)+(2*x**4))-(2*x**3)-(2*x)-2))/((x-1)**2*(x+1)*(x**2+1))))] }
-
-
-
-def A211412():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(50*x**2)+(40*x)+5))/(x-1)**5))] }
-
-
-
-def A211438():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(8*x**2)+(2*x**3)+x**4)/((1-x)**3*(1+x)**2))] }
-
-
-
-def A211441():
- x = SR.var('x')
- return { 'ogf': [((3*x*((1+(2*x))-x**2))/(1-x)**3)] }
-
-
-
-def A211481():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**4)+(5*x**3)+(4*x**2)+(2*x)+1)/((x-1)**3*(x+1)*(x**2+x+1))))] }
-
-
-
-def A211524():
- x = SR.var('x')
- return { 'ogf': [(x**8/((1-x)*(1-x**3)*(1-x**5)))] }
-
-
-
-def A211534():
- x = SR.var('x')
- return { 'ogf': [(-(x**6/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A211539():
- x = SR.var('x')
- return { 'ogf': [((x**3+(2*x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A211605():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((((((((((-x**56)+x**55+x**54+x**53)-x**52-(2*x**50))+(2*x**49)+(3*x**48)+(3*x**47))-(4*x**46))+x**43)-(3*x**41))+(2*x**40)+(4*x**39)+(3*x**38)+(3*x**37)+(5*x**36)+(2*x**35))-(3*x**34))+x**31)-(2*x**29))+x**28+(5*x**27)+(2*x**26)+(3*x**25)+(4*x**24)+(2*x**23))-(3*x**22))+x**19)-(2*x**17))+x**16+(4*x**15)+(2*x**14)+(4*x**13)+(5*x**12)+(3*x**11))-(4*x**10))+x**7)-x**6-(2*x**5))+x**4+(5*x**3)+(3*x**2)+(2*x)+1)*x)/(((((((-x**57)+x**54)-x**51)+x**48+x**9)-x**6)+x**3)-1)))] }
-
-
-
-def A211607():
- x = SR.var('x')
- return { 'ogf': [(-((((13987*x**2)-(24518*x))+10753)/(x-1)**3))] }
-
-
-
-def A211615():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+x+x**2))/(1-x)**3)] }
-
-
-
-def A211681():
- x = SR.var('x')
- return { 'ogf': [(((2*x*(1+x**10))+(3*x**2*(1+x**3+x**5+x**6))+(5*x**3*(1+x**6))+(7*x**4*(1+x**2)))/((1-(10*x**4))*(1-x**8)))] }
-
-
-
-def A211773():
- x = SR.var('x')
- return { 'ogf': [(((1259-(2624*x))+(1369*x**2))/(1-x)**3)] }
-
-
-
-def A211775():
- x = SR.var('x')
- return { 'ogf': [(((5419-(11048*x))+(5633*x**2))/(1-x)**3)] }
-
-
-
-def A211784():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(8*x**2)+(6*x**3)+x**4))/((1-x)**3*(1+(2*x)+(2*x**2)+x**3)))] }
-
-
-
-def A211786():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(6*x**2)+(2*x**3)))/((1+x)*(1-x)**4))] }
-
-
-
-def A211858():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**17)+(3*x**16)+(5*x**15)+(5*x**14)+(4*x**13)+(2*x**11)+(2*x**9)+(3*x**8)+(5*x**7)+(5*x**6)+(6*x**5)+(6*x**4)+(5*x**3)+(4*x**2)+(2*x)+1)/(((x**2-x)+1)*(x**4+x**3+x**2+x+1)*(x**2+1)*(x+1)**2*(x**2+x+1)**2*(x-1)**3)))] }
-
-
-
-def A211866():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)))/((1-x)*(1-(9*x))))] }
-
-
-
-def A211894():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))**(2/3)/((1-x)*(1-(4*x)))**(1/3))] }
-
-
-
-def A211895():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(4*x))**3)/((1-(2*x))**3*(1-(8*x))))**(1/9)] }
-
-
-
-def A211896():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))**4*(1+(8*x))**4)/((1-x)*(1-(4*x))**6*(1-(16*x))))**(1/27)] }
-
-
-
-def A212069():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-x)+(6*x**2))-x**3)+x**4))/((1+x+x**2)*(x-1)**4))] }
-
-
-
-def A212088():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+(5*x**3)+(15*x**2)+(8*x)+7))/((x**2+x+1)*(1-x)**5))] }
-
-
-
-def A212089():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x**4)+(8*x**3)+(15*x**2)+(5*x)))/((x**2+x+1)*((-x)+1)**5))] }
-
-
-
-def A212090():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(11*x)+(10*x**2)+x**3))/(x-1)**5))] }
-
-
-
-def A212145():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(11*x**3)+(22*x**2)+(12*x)+1))/((x-1)**5*(x+1))))] }
-
-
-
-def A212205():
- x = SR.var('x')
- return { 'ogf': [((((((1+(2*x))*sqrt(((1-(6*x**2))+x**4)))-1)+(5*x**2))-(2*x**3))/(2*x*(1-(6*x**2))))] }
-
-
-
-def A212242():
- x = SR.var('x')
- return { 'ogf': [(((((((((1-(3*x))+(53*x**2))-(51*x**3))+(120*x**4))-(51*x**5))+(53*x**6))-(3*x**7))+x**8)/((x**4+x**3+x**2+x+1)*(x-1)**6))] }
-
-
-
-def A212246():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+x))/(1-x)**5)] }
-
-
-
-def A212247():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(3*x**2)))/((1+x)*(1-x)**4))] }
-
-
-
-def A212249():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(21*x**2)+(17*x**3)+(11*x**4)+x**5))/((1+x+x**2)*(1-x)**5))] }
-
-
-
-def A212250():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+(2*x)+(6*x**2)+x**3))/((1+x+x**2)*(1-x)**5))] }
-
-
-
-def A212254():
- x = SR.var('x')
- return { 'ogf': [((x**3*((3*x**2)+(2*x)+1))/((x-1)**4*(x+1)*(x**2+x+1)))] }
-
-
-
-def A212262():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*(1+(2*x)))/((1-(3*x))*(1-x-x**2)))] }
-
-
-
-def A212272():
- x = SR.var('x')
- return { 'ogf': [((x*(((2-x)+(2*x**2))-(9*x**3)))/((1-x-x**2)*(1-x)**4))] }
-
-
-
-def A212323():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/((1-(3*x))*(1-x-x**2)))] }
-
-
-
-def A212325():
- x = SR.var('x')
- return { 'ogf': [((((-167)+(338*x))-(169*x**2))/(1-x)**3)] }
-
-
-
-def A212330():
- x = SR.var('x')
- return { 'ogf': [((x**5*(1-x)**2*((((((4-(14*x))+(8*x**2)+(11*x**3))-(6*x**4)-(2*x**5))+(2*x**6)+(5*x**7))-(2*x**8))+x**9))/(1-(2*x))**4)] }
-
-
-
-def A212331():
- x = SR.var('x')
- return { 'ogf': [((5*x*(3-(2*x)))/(1-x)**3)] }
-
-
-
-def A212335():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(21*x))+x**2)))] }
-
-
-
-def A212336():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-(22*x))+x**2)))] }
-
-
-
-def A212337():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**2*(1-(3*x))**2))] }
-
-
-
-def A212339():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((4*x**2)+(4*x)+5))/(((2*x)-1)**3*(x**2+x+1)**3)))] }
-
-
-
-def A212340():
- x = SR.var('x')
- return { 'ogf': [(-(1/((-1)+x+x**2+(2*x**3)+(5*x**4))))] }
-
-
-
-def A212341():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*((25*x**3)+(20*x**2)+(14*x)+14))/(((5*x**4)+(2*x**3)+x**2+x)-1)**3))] }
-
-
-
-def A212342():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+(2*x**2)+x**3)-x**4)/(1-x)**3)] }
-
-
-
-def A212346():
- x = SR.var('x')
- return { 'ogf': [((((((((2*x**6)-(5*x**5))+(3*x**4))-x**3)+(4*x**2))-(3*x))+1)/(x-1)**4)] }
-
-
-
-def A212347():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5*(((2*x**2)-(7*x))+7))/(x-1)**5))] }
-
-
-
-def A212393():
- x = SR.var('x')
- return { 'ogf': [((((((((1-(4*x))+(7*x**2))-(5*x**3))+(4*x**4))-(6*x**5))+(21*x**6)+(18*x**7))-(5*x**8))/(1-x)**5)] }
-
-
-
-def A212415():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(2*x)))/(1-x)**5)] }
-
-
-
-def A212427():
- x = SR.var('x')
- return { 'ogf': [((x*(17-(16*x)))/(1-x)**3)] }
-
-
-
-def A212428():
- x = SR.var('x')
- return { 'ogf': [((x*(18-(17*x)))/(1-x)**3)] }
-
-
-
-def A212442():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+(2*x))-x**2)**3*(1-(14*x)-x**2)))] }
-
-
-
-def A212500():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(4*x))+(3*x**2)+(4*x**3)))/((1-(10*x**2))+(5*x**4))))] }
-
-
-
-def A212501():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(3*x)))/(1-x)**5)] }
-
-
-
-def A212503():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2)*(1+(6*x)+(22*x**2)+(6*x**3)+x**4))/((1+x)**3*(1-x)**5))] }
-
-
-
-def A212504():
- x = SR.var('x')
- return { 'ogf': [((x**3*(7+(10*x)+(14*x**2)+(4*x**3)+x**4))/((x+1)**3*(1-x)**5))] }
-
-
-
-def A212505():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+(2*x)+3)*((3*x**2)+(2*x)+1))/((x+1)**3*(1-x)**5))] }
-
-
-
-def A212506():
- x = SR.var('x')
- return { 'ogf': [((x*((14*x)+(30*x**2)+(42*x**3)+(17*x**4)+(4*x**5)+1))/((x+1)**3*(1-x)**5))] }
-
-
-
-def A212507():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x))*(1+(7*x)+(7*x**2)+(3*x**3)))/((1+x)**2*(1-x)**5))] }
-
-
-
-def A212560():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(5*x)))/(1-x)**5)] }
-
-
-
-def A212561():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**3+x**2+(3*x)+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A212567():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(5*x)+(7*x**2)+(13*x**3)+(12*x**4)+(5*x**5)+x**6+x**7))/((1+x)**2*(1-x)**4*(1+x+x**2)**2))] }
-
-
-
-def A212568():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(16*x**3)+(12*x**4))/((((1-(4*x))+(5*x**2))-(5*x**4))+(4*x**5)+x**6))] }
-
-
-
-def A212570():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(4*x**3)+(10*x**2)+(4*x)+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A212574():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+(5*x)+(10*x**2)+(2*x**3)+x**4+x**5))/((1+x)**2*(x-1)**5)))] }
-
-
-
-def A212575():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**2)+(15*x**3)+(32*x**4)+(44*x**5)+(32*x**6)+(15*x**7)+(4*x**8)+x**9)/((((1-(2*x**2)-(2*x**3))+x**4+(4*x**5)+x**6)-(2*x**7)-(2*x**8))+x**10))] }
-
-
-
-def A212576():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2)+(6*x**3)+(12*x**4)+(21*x**5)+(22*x**6)+(21*x**7)+(12*x**8)+(6*x**9)+(2*x**10)+x**11)/((((1-x**2-(2*x**3)-x**4)+(2*x**5)+(2*x**6)+(2*x**7))-x**8-(2*x**9)-x**10)+x**12))] }
-
-
-
-def A212577():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2)+(10*x**3)+(14*x**4)+(10*x**5)+(2*x**6)+x**7)/(((((((1-(2*x))+x**2)-(2*x**3))+(4*x**4))-(2*x**5))+x**6)-(2*x**7)-x**8))] }
-
-
-
-def A212578():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2)+(4*x**3)+(2*x**4)+x**5)/((((1-(2*x)-x**2)+(4*x**3))-x**4-(2*x**5))+x**6))] }
-
-
-
-def A212579():
- x = SR.var('x')
- return { 'ogf': [((x+(7*x**2)+(21*x**3)+(34*x**4)+(39*x**5)+(25*x**6)+(7*x**7))/((((1-x-(2*x**2))+x**3+(2*x**4)+x**5)-(2*x**6)-x**7)+x**8))] }
-
-
-
-def A212584():
- x = SR.var('x')
- return { 'ogf': [(((1+x**3)-x**5)/((((1-x-x**2)+x**3)-x**4)+x**6))] }
-
-
-
-def A212585():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-x-(2*x**3))+(3*x**5))-(2*x**7))+x**8)/(((-1)+x**2)**2*((-1)+x+x**4)))] }
-
-
-
-def A212586():
- x = SR.var('x')
- return { 'ogf': [(((1+x**2+x**3)-x**5)/((((1-(2*x)-x**2)+(2*x**3))-x**4)+x**6))] }
-
-
-
-def A212587():
- x = SR.var('x')
- return { 'ogf': [((((((-1)-(2*x)-(2*x**2)-(2*x**3))+(2*x**4))-(2*x**5)-(2*x**6)-(2*x**7))+(3*x**8))/(((-1)+x**2)**2*((-1)+(2*x)+x**4)))] }
-
-
-
-def A212588():
- x = SR.var('x')
- return { 'ogf': [(((1+x**3)-x**4)/((((1-(2*x))+x**3)-x**4)+x**5))] }
-
-
-
-def A212589():
- x = SR.var('x')
- return { 'ogf': [(-(((((1+x**2+x**3)-(3*x**4))+(2*x**5)+x**6)-x**7)/(((-1)+x)**2*((-1)+x+x**2+x**4))))] }
-
-
-
-def A212592():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(6*x))-(10*x**2)-(20*x**3))+(5*x**4)+(6*x**5)))/(((1-(21*x**2))+(35*x**4))-(7*x**6)))] }
-
-
-
-def A212593():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+(8*x))-(21*x**2)-(56*x**3))+(35*x**4)+(56*x**5))-(7*x**6)-(8*x**7)))/((1-(3*x**2))*(((1-(33*x**2))+(27*x**4))-(3*x**6))))] }
-
-
-
-def A212594():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+(10*x))-(36*x**2)-(120*x**3))+(126*x**4)+(252*x**5))-(84*x**6)-(120*x**7))+(9*x**8)+(10*x**9)))/(((((1-(55*x**2))+(330*x**4))-(462*x**6))+(165*x**8))-(11*x**10)))] }
-
-
-
-def A212596():
- x = SR.var('x')
- return { 'ogf': [(-((12*((12*x)-1))/(((8*x)-1)*((20*x)-1))))] }
-
-
-
-def A212656():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(6*x**2))/(1-x)**3)] }
-
-
-
-def A212670():
- x = SR.var('x')
- return { 'ogf': [((x*(((27+(453*x)+(558*x**2))-(22*x**3))+(7*x**4)+x**5))/(1-x)**6)] }
-
-
-
-def A212673():
- x = SR.var('x')
- return { 'ogf': [(((8*x**2)+(14*x**3)+(8*x**4))/(((((1-(4*x))+(5*x**2))-(5*x**4))+(4*x**5))-x**6))] }
-
-
-
-def A212676():
- x = SR.var('x')
- return { 'ogf': [((x**2+(7*x**3)+(4*x**4)+x**5)/((((1-(2*x)-x**2)+(4*x**3))-x**4-(2*x**5))+x**6))] }
-
-
-
-def A212677():
- x = SR.var('x')
- return { 'ogf': [((x**2+(4*x**3)+(3*x**4)+(2*x**5))/((((((1-(3*x))+(3*x**2))-(2*x**3))+(3*x**4))-(3*x**5))+x**6))] }
-
-
-
-def A212678():
- x = SR.var('x')
- return { 'ogf': [(((5*x**4)+(9*x**5)+(9*x**6)+(6*x**7)+(2*x**8))/((((1-x-x**2-x**3)+(2*x**4)+(2*x**5))-x**6-x**7-x**8)+x**9))] }
-
-
-
-def A212679():
- x = SR.var('x')
- return { 'ogf': [((x+(6*x**2)+(16*x**3)+(10*x**4)+(3*x**5))/((((1-(2*x)-x**2)+(4*x**3))-x**4-(2*x**5))+x**6))] }
-
-
-
-def A212681():
- x = SR.var('x')
- return { 'ogf': [(((4*x**2)+(12*x**3)+(20*x**4)+(10*x**5)+(2*x**6))/(((((1-(3*x))+x**2+(5*x**3))-(5*x**4)-x**5)+(3*x**6))-x**7))] }
-
-
-
-def A212682():
- x = SR.var('x')
- return { 'ogf': [(((x+(9*x**2)+(22*x**3)+(14*x**4)+(3*x**5))-x**6)/(((((1-(3*x))+x**2+(5*x**3))-(5*x**4)-x**5)+(3*x**6))-x**7))] }
-
-
-
-def A212683():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(2*x**3)+(2*x**4))/((((1-(3*x))+(2*x**2)+(2*x**3))-(3*x**4))+x**5))] }
-
-
-
-def A212684():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x)+(3*x**2))-x**3))/((1+x)*(1-x)**4))] }
-
-
-
-def A212685():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+x**3+x**4)/((((1-(3*x))+(2*x**2)+(2*x**3))-(3*x**4))+x**5))] }
-
-
-
-def A212686():
- x = SR.var('x')
- return { 'ogf': [(((4*x**2)+(4*x**4))/((((1-(2*x)-x**2)+(4*x**3))-x**4-(2*x**5))+x**6))] }
-
-
-
-def A212687():
- x = SR.var('x')
- return { 'ogf': [((x+(9*x**2)+(32*x**3)+(28*x**4)+(13*x**5)+x**6)/(((((1-(3*x))+x**2+(5*x**3))-(5*x**4)-x**5)+(3*x**6))-x**7))] }
-
-
-
-def A212688():
- x = SR.var('x')
- return { 'ogf': [(((4*x**2)+(2*x**3)+(6*x**4))/(((((1-(3*x))+x**2+(5*x**3))-(5*x**4)-x**5)+(3*x**6))-x**7))] }
-
-
-
-def A212689():
- x = SR.var('x')
- return { 'ogf': [(((6*x**3)+(2*x**4)+(4*x**5))/(((((1-(3*x))+x**2+(5*x**3))-(5*x**4)-x**5)+(3*x**6))-x**7))] }
-
-
-
-def A212690():
- x = SR.var('x')
- return { 'ogf': [((x+(13*x**2)+(28*x**3)+(32*x**4)+(9*x**5)+x**6)/(((((1-(3*x))+x**2+(5*x**3))-(5*x**4)-x**5)+(3*x**6))-x**7))] }
-
-
-
-def A212691():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(1+(3*x)+(6*x**2)+x**4+(3*x**3)))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A212692():
- x = SR.var('x')
- return { 'ogf': [(((6*x**2)+(4*x**3))/((((1-(3*x))+(2*x**2)+(2*x**3))-(3*x**4))+x**5))] }
-
-
-
-def A212696():
- x = SR.var('x')
- return { 'ogf': [(((12-(4/sqrt((1-(4*x)))))/(8*sqrt(((12*x)+(2*sqrt((1-(4*x))))+2))))+(1/(2*sqrt((1-(4*x))))))] }
-
-
-
-def A212697():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((3*x)-1)**2)] }
-
-
-
-def A212698():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((4*x)-1)**2)] }
-
-
-
-def A212700():
- x = SR.var('x')
- return { 'ogf': [((5*x)/((6*x)-1)**2)] }
-
-
-
-def A212704():
- x = SR.var('x')
- return { 'ogf': [((9*x)/((10*x)-1)**2)] }
-
-
-
-def A212705():
- x = SR.var('x')
- return { 'ogf': [((2*x*((27+(1394*x)+(7273*x**2)+(7308*x**3)+(1373*x**4)+(34*x**5))-x**6))/(1-x)**8)] }
-
-
-
-def A212714():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(2*x**3)+(2*x**4))/(((((1-(4*x))+(5*x**2))-(5*x**4))+(4*x**5))-x**6))] }
-
-
-
-def A212740():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x**2)*(x**4+(10*x**2)+1))/((1+x)**3*(x-1)**5)))] }
-
-
-
-def A212741():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(13*x)-(47*x**2)-(57*x**3)-(47*x**4)-(3*x**5)-x**6)+x**7)/((1+x)**3*(x-1)**5))] }
-
-
-
-def A212742():
- x = SR.var('x')
- return { 'ogf': [(-(((1+x**2)*(x**4+(10*x**2)+1))/((1+x)**3*(x-1)**5)))] }
-
-
-
-def A212744():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)*(x**4+(6*x**3)+(16*x**2)+(6*x)+1))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A212745():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(x**8+(6*x**7)+(13*x**6)+(40*x**5)+(18*x**4)+(40*x**3)+(13*x**2)+(6*x)+1))/((1+x+x**2)**3*(1-x)**4))] }
-
-
-
-def A212746():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x)+(61*x**2)+(104*x**3)+(115*x**4)+(50*x**5)+(15*x**6))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A212747():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x**2)+x**4)/((1-x)**4*(1+x**2)))] }
-
-
-
-def A212748():
- x = SR.var('x')
- return { 'ogf': [((((1+(3*x)+(10*x**2))-(6*x**3)-(3*x**4))+(3*x**5))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A212749():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(12*x)-(40*x**2)-(60*x**3)-(37*x**4)-(12*x**5))/((1+x)**3*(x-1)**5))] }
-
-
-
-def A212750():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(12*x)-(42*x**2)-(50*x**3)-(37*x**4)-(6*x**5))/((1+x)**3*(x-1)**5))] }
-
-
-
-def A212751():
- x = SR.var('x')
- return { 'ogf': [((((-1)-(12*x)-(40*x**2)-(36*x**3)-(25*x**4))+(12*x**5))/((1+x)**3*(x-1)**5))] }
-
-
-
-def A212752():
- x = SR.var('x')
- return { 'ogf': [(-((x*(14+(43*x)+(68*x**2)+(46*x**3)+(14*x**4)+x**5))/((1+x)**3*(x-1)**5)))] }
-
-
-
-def A212753():
- x = SR.var('x')
- return { 'ogf': [(-((x*(12+(21*x)+(12*x**2)+x**3))/((1+x)*(x-1)**5)))] }
-
-
-
-def A212754():
- x = SR.var('x')
- return { 'ogf': [(-((x*(8+(21*x)+(12*x**2)+x**3))/((1+x)*(x-1)**5)))] }
-
-
-
-def A212755():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-(5*x))+(3*x**2))-x**3)/(x-1)**5)] }
-
-
-
-def A212756():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(25*x**2)+(61*x**3)+(108*x**4)+(133*x**5)+(125*x**6)+(87*x**7)+(46*x**8)+(15*x**9)+(3*x**10))/((1+x)**3*(1+x+x**2)**3*(x-1)**4))] }
-
-
-
-def A212757():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(13*x**2)+(40*x**3)+(68*x**4)+(52*x**5)+(43*x**6)+(38*x**7)+(19*x**8))/((1+x)**2*(1+x+x**2)**3*(x-1)**4))] }
-
-
-
-def A212758():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(12*x**2)+(34*x**3)+(40*x**4)+(18*x**5)+(19*x**6)+(7*x**7))/((1+x+x**2)**3*(1-x)**4))] }
-
-
-
-def A212759():
- x = SR.var('x')
- return { 'ogf': [((1+x+(18*x**2)+(21*x**4)+x**5+(2*x**6)+(4*x**3))/((1+x)**4*(1-x)**5))] }
-
-
-
-def A212760():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(6*x**2)+(2*x**3)+x**4)/((1+x)**3*(1-x)**4))] }
-
-
-
-def A212761():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(5*x)+(6*x**2)+(9*x**3)+(2*x**4)+x**5))/((1+x)**4*(1-x)**5))] }
-
-
-
-def A212762():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(2*x)+(9*x**2)+(6*x**3)+(5*x**4)+x**5))/((1+x)**4*(1-x)**5))] }
-
-
-
-def A212763():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x+(21*x**2)+(4*x**3)+(18*x**4)+x**5+x**6))/((1+x)**4*(1-x)**5))] }
-
-
-
-def A212764():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(4*x**2)+(10*x**3)+x**4+x**5))/((1+x)**4*(1-x)**5))] }
-
-
-
-def A212765():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(10*x**2)+(7*x**4)+x**5+(4*x**3)))/((1+x)**4*(1-x)**5))] }
-
-
-
-def A212766():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(2+(5*x)+(10*x**2)+(5*x**3)+(2*x**4)))/((1+x)**3*(x-1)**5)))] }
-
-
-
-def A212767():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x**2)+(2*x**3)+x**4)/((1+x)**3*(1-x)**4))] }
-
-
-
-def A212772():
- x = SR.var('x')
- return { 'ogf': [(((((1-(2*x))+(2*x**3))-(2*x**4))+(3*x**5))/((1+x+x**2+x**3)*(1-x)**4))] }
-
-
-
-def A212776():
- x = SR.var('x')
- return { 'ogf': [(-((x*(11+(16*x)+(17*x**2)+(9*x**3)))/((-1)+x+(2*x**2)+(3*x**3)+(2*x**4))))] }
-
-
-
-def A212804():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(1-x-x**2))] }
-
-
-
-def A212831():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)+x**4))/((x**2+1)*(x-1)**2*(1+x)**2))] }
-
-
-
-def A212897():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(6*x**3)+(14*x**4)+(2*x**6))/(((((1-(5*x))+(10*x**2))-(10*x**3))+(5*x**4))-x**5))] }
-
-
-
-def A212898():
- x = SR.var('x')
- return { 'ogf': [((((1+(12*x)+(23*x**2)+(22*x**3)+(16*x**4)+(14*x**5))-(2*x**6))+(2*x**7)+(2*x**8))/(1-x)**4)] }
-
-
-
-def A212899():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**3)+(6*x**4)+(2*x**5)+(16*x**6))-(4*x**7))+(2*x**9))/(((((1-(5*x))+(10*x**2))-(10*x**3))+(5*x**4))-x**5))] }
-
-
-
-def A212902():
- x = SR.var('x')
- return { 'ogf': [(((2*x**2)+(10*x**3)+(14*x**4)+(14*x**5)+(8*x**6)+(4*x**7))/(((((1-(2*x)-x**2)+(3*x**3)+x**4)-x**5-(3*x**6))+x**7+(2*x**8))-x**9))] }
-
-
-
-def A212903():
- x = SR.var('x')
- return { 'ogf': [((((1+(6*x)+(18*x**2)+(19*x**3)+(11*x**4))-(2*x**5)-(2*x**6))+x**7)/(((((1-(2*x)-x**2)+(3*x**3)+x**4)-x**5-(3*x**6))+x**7+(2*x**8))-x**9))] }
-
-
-
-def A212979():
- x = SR.var('x')
- return { 'ogf': [(((((((1-x)+x**2+(5*x**3))-(3*x**4))+(5*x**5)+x**6)-x**7)+x**8)/(((((((((1-(2*x))+(2*x**2))-(2*x**3))+x**4)-x**5)+(2*x**6))-(2*x**7))+(2*x**8))-x**9))] }
-
-
-
-def A213029():
- x = SR.var('x')
- return { 'ogf': [((x**2+x**3+(2*x**4)+(3*x**5)+(3*x**6))/((((1+x)-x**2-(3*x**3)-(2*x**4))+(2*x**5)+(3*x**6)+x**7)-x**8-x**9))] }
-
-
-
-def A213030():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(2*x)+(3*x**3)))/((1-x)**3*(1+x+x**2)**2))] }
-
-
-
-def A213031():
- x = SR.var('x')
- return { 'ogf': [((x**2+(2*x**3)+(7*x**4)+(16*x**5)+(26*x**6)+(22*x**7)+(19*x**8)+(14*x**9)+(7*x**10))/(((((1+(2*x))-(5*x**3)-(7*x**4))+(9*x**6)+(9*x**7))-(7*x**9)-(5*x**10))+(2*x**12)+x**13))] }
-
-
-
-def A213032():
- x = SR.var('x')
- return { 'ogf': [((x**3+x**4+(3*x**6)+(2*x**8)+(2*x**9)+x**10)/(((1-x-(2*x**6))+(2*x**7)+x**12)-x**13))] }
-
-
-
-def A213033():
- x = SR.var('x')
- return { 'ogf': [(((3*x**3)+(8*x**4)+(7*x**5)+(25*x**6)+(24*x**7)+(21*x**8)+(32*x**9)+(38*x**10)+(15*x**11)+(22*x**12)+(13*x**13)+(5*x**14)+(2*x**15)+x**16)/((((((((1-x**2-x**3)+x**5)-(2*x**6))+(2*x**8)+(2*x**9))-(2*x**11))+x**12)-x**14-x**15)+x**17))] }
-
-
-
-def A213034():
- x = SR.var('x')
- return { 'ogf': [(((4*x**3)+(2*x**4)+x**5+(7*x**6)+x**7+(2*x**8)+x**9)/(((((1-x-x**3)+x**4)-x**6)+x**7+x**9)-x**10))] }
-
-
-
-def A213035():
- x = SR.var('x')
- return { 'ogf': [((x+(3*x**2)+(4*x**3)+(5*x**4)+(3*x**5))/((1-x)**3*(1+x+x**2)**2))] }
-
-
-
-def A213037():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+(3*x**2))-x**3))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A213041():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x**2))/((1-x)**3*(1+x)))] }
-
-
-
-def A213042():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**2)**2*(1-x**3)**2))] }
-
-
-
-def A213043():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**2*((1-(2*x))+x**3)))] }
-
-
-
-def A213044():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-x**2)*(1-x**3)**2))] }
-
-
-
-def A213045():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+x+x**2))/(((-1)+x)**4*(1+x)))] }
-
-
-
-def A213046():
- x = SR.var('x')
- return { 'ogf': [(((-2)+x)/(((-1)+x)**2*((-1)+(2*x**2)+x**3)))] }
-
-
-
-def A213071():
- x = SR.var('x')
- return { 'ogf': [((3*x*(187+(3863*x)+(3593*x**2)+(133*x**3)))/(x-1)**4)] }
-
-
-
-def A213090():
- x = SR.var('x')
- return { 'ogf': [(1+((1-(3*x)-(2*x**2)-((1-x-(2*x**2))*sqrt((1-(4*x)))))/(1-(3*x)-(((1-x)+(2*x**2))*sqrt((1-(4*x)))))))] }
-
-
-
-def A213163():
- x = SR.var('x')
- return { 'ogf': [(x**4/(((((1-(7*x))+(17*x**2))-(17*x**3))+(7*x**4))-x**5))] }
-
-
-
-def A213222():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((3+x)-(3*x**2))+x**3))/((1+x)*(1-x)**2))] }
-
-
-
-def A213223():
- x = SR.var('x')
- return { 'ogf': [(((1+(8*x))-(99*x**2))/((1-x)**2*(1-(10*x))))] }
-
-
-
-def A213243():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+x+1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)))] }
-
-
-
-def A213244():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**6)+(12*x**5)+(14*x**4)+(3*x**3)+(7*x**2)+(3*x)+1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)*(x**2+1)*((4*x**2)+1)))] }
-
-
-
-def A213245():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**4)+(6*x**3)+x**2+(3*x)+1))/((x-1)*((2*x)-1)*(x**2+x+1)*((4*x**2)+(2*x)+1)))] }
-
-
-
-def A213246():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**2)-x)+1)*((16*x**8)+(16*x**7)+(28*x**6)+(16*x**5)+(25*x**4)+(8*x**3)+(7*x**2)+(2*x)+1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)*((x**2-x)+1)*(x**2+x+1)*(((4*x**2)-(2*x))+1)*((4*x**2)+(2*x)+1)))] }
-
-
-
-def A213247():
- x = SR.var('x')
- return { 'ogf': [((x*((512*x**18)+(768*x**17)+(896*x**16)+(960*x**15)+(992*x**14)+(1008*x**13)+(1016*x**12)+(1020*x**11)+(1022*x**10)+(93*x**9)+(511*x**8)+(255*x**7)+(127*x**6)+(63*x**5)+(31*x**4)+(15*x**3)+(7*x**2)+(3*x)+1))/(((1024*x**20)-(1025*x**10))+1))] }
-
-
-
-def A213248():
- x = SR.var('x')
- return { 'ogf': [((x*((2048*x**22)+(3072*x**21)+(3584*x**20)+(3840*x**19)+(3968*x**18)+(4032*x**17)+(4064*x**16)+(4080*x**15)+(4088*x**14)+(4092*x**13)+(4094*x**12)+(315*x**11)+(2047*x**10)+(1023*x**9)+(511*x**8)+(255*x**7)+(127*x**6)+(63*x**5)+(31*x**4)+(15*x**3)+(7*x**2)+(3*x)+1))/(((4096*x**24)-(4097*x**12))+1))] }
-
-
-
-def A213283():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2+(18*x**3)))/(1-x)**5)] }
-
-
-
-def A213284():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(8*x)+(5*x**2)+(22*x**3)+(84*x**4)))/(1-x)**6)] }
-
-
-
-def A213285():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(20*x))-(3*x**2))+(89*x**3)+(106*x**4)+(507*x**5)))/(1-x)**7)] }
-
-
-
-def A213286():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(38*x)+(27*x**2)+(101*x**3)+(610*x**4)+(693*x**5)+(3570*x**6)))/(1-x)**8)] }
-
-
-
-def A213287():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(82*x)+(86*x**2)+(266*x**3)+(1273*x**4)+(4234*x**5)+(5880*x**6)+(28498*x**7)))/(1-x)**9)] }
-
-
-
-def A213288():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(152*x)+(499*x**2))-(290*x**3))+(6224*x**4)+(6496*x**5)+(41203*x**6)+(52034*x**7)+(256561*x**8)))/(1-x)**10)] }
-
-
-
-def A213289():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(312*x)+(1670*x**2))-(1255*x**3))+(15327*x**4)+(38264*x**5)+(81248*x**6)+(406785*x**7)+(520730*x**8)+(2565718*x**9)))/(1-x)**11)] }
-
-
-
-def A213299():
- x = SR.var('x')
- return { 'ogf': [(((2*x*(1+x**10))+(3*x**2*(1+x**3+x**5+x**6))+(5*x**3*(1+x**6))+(7*x**4*(1+x**2)))/((1-x)*(1-(10*x**4))*(1-x**8)))] }
-
-
-
-def A213380():
- x = SR.var('x')
- return { 'ogf': [(-((132*x**12)/(x-1)**13))] }
-
-
-
-def A213389():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**3)+x**5)/((1-x)**4*(1+x)**2))] }
-
-
-
-def A213390():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x)+(10*x**2)+(2*x**3)+x**4)-x**5)/((1-x)**4*(1+x)**2))] }
-
-
-
-def A213391():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**4)+x**7)/((1-x)**4*(1+x+x**2)**2))] }
-
-
-
-def A213392():
- x = SR.var('x')
- return { 'ogf': [(-((((-1)-(5*x)-x**6-(12*x**2)-(16*x**3)-(8*x**4)-(6*x**5))+x**7)/((x**2+x+1)**2*(x-1)**4)))] }
-
-
-
-def A213393():
- x = SR.var('x')
- return { 'ogf': [((6*x*(x**2+1)*(x+1)**2)/((x**2+x+1)**2*(x-1)**4))] }
-
-
-
-def A213395():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(9*x**2)+(10*x**3)+(6*x**4)+x**5)/((1-x)**3*(1+x)**2*(1+x+x**2)))] }
-
-
-
-def A213396():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+x**2))/((1-x)**4*(1+x+x**2)))] }
-
-
-
-def A213397():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(6*x**2)+(2*x**3)+x**4)/((1-x)**4*(1+x+x**2)))] }
-
-
-
-def A213398():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+(2*x**2))-x**3)/((1-x)**3*(1+x)))] }
-
-
-
-def A213400():
- x = SR.var('x')
- return { 'ogf': [((((2*x**3)+(6*x**4)+(15*x**5)+(13*x**6)+(4*x**7))-x**8-x**9)/((((1-(2*x**2)-(2*x**3))+x**4+(4*x**5)+x**6)-(2*x**7)-(2*x**8))+x**10))] }
-
-
-
-def A213421():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(4*x))+(7*x**2)))] }
-
-
-
-def A213432():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4)/((2*x)-1)**5))] }
-
-
-
-def A213436():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(9*x**2)))/(1-x)**5)] }
-
-
-
-def A213472():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)*(((((((((1+(3*x))-(4*x**2))+(10*x**3))-(5*x**4))+(5*x**6))-(5*x**8))+(10*x**9))-(4*x**10))+(3*x**11)+x**12))/((1-x)*(1+x**2)*(1+x+x**2+x**3+x**4)*((((1-x**2)+x**4)-x**6)+x**8)))] }
-
-
-
-def A213484():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)+x**3+x**4)/((1-x)**3*(1+x**2)))] }
-
-
-
-def A213485():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(4*x)+(2*x**2)+x**3+x**4))/((1-x)**4*(1+x**2)))] }
-
-
-
-def A213486():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-x)**4*(1+x**2)))] }
-
-
-
-def A213487():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+(4*x**3)+x**4)/((1-x)**4*(1+x**2)))] }
-
-
-
-def A213488():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(2*x**2)+x**3+x**4))/((1-x)**4*(1+x**2)))] }
-
-
-
-def A213490():
- x = SR.var('x')
- return { 'ogf': [(((12*x**5)+(26*x**6)+(42*x**7)+(30*x**8)+(34*x**9))/((((1-x-x**2)+(2*x**5))-x**8-x**9)+x**10))] }
-
-
-
-def A213491():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(26*x**2)+(55*x**3)+(89*x**4)+(106*x**5)+(98*x**6)+(63*x**7)+(34*x**8))/(((1-x**2-x**3-x**4)+x**5+x**6+x**7)-x**9))] }
-
-
-
-def A213492():
- x = SR.var('x')
- return { 'ogf': [((2*x*(2+(5*x)+(6*x**2)+(3*x**3)+(2*x**4)))/(((-1)+x)**4*(1+x)*(1+x+x**2)))] }
-
-
-
-def A213493():
- x = SR.var('x')
- return { 'ogf': [((12*(x**6+(3*x**7)+(3*x**8)+(5*x**9)))/((((1-x-x**2)+(2*x**5))-x**8-x**9)+x**10))] }
-
-
-
-def A213494():
- x = SR.var('x')
- return { 'ogf': [((x**6+(3*x**7)+(3*x**8)+(5*x**9))/((((1-x-x**2)+(2*x**5))-x**8-x**9)+x**10))] }
-
-
-
-def A213495():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(4*x**2)+(3*x**3)+(3*x**4))/(((1-x-x**2)+x**4+x**5)-x**6))] }
-
-
-
-def A213506():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-x**2)*(1-x**3)**2*(1-x**4)))] }
-
-
-
-def A213546():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(19*x)+(35*x**2)+(9*x**3)))/(1-x)**6)] }
-
-
-
-def A213547():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(5*x**2)+x**3))/(1-x)**7)] }
-
-
-
-def A213549():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(3*x**2)))/(1-x)**5)] }
-
-
-
-def A213552():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(9*x)+(6*x**2)))/(1-x)**6)] }
-
-
-
-def A213554():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(37*x)+(91*x**2)+(27*x**3)))/(1-x)**6)] }
-
-
-
-def A213556():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(13*x)+(19*x**2)+(3*x**3)))/(1-x)**6)] }
-
-
-
-def A213559():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(83*x)+(666*x**2)+(1106*x**3)+(421*x**4)+(27*x**5)))/(1-x)**8)] }
-
-
-
-def A213560():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)+(56*x**2)+(56*x**3)+(15*x**4)+x**5))/(1-x)**9)] }
-
-
-
-def A213562():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(16*x**2)+(3*x**3)))/(1-x)**6)] }
-
-
-
-def A213563():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**2)))/(1-x)**7)] }
-
-
-
-def A213565():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(15*x)+(16*x**2)))/(1-x)**6)] }
-
-
-
-def A213569():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x)-(4*x**2)))/(((2*x)-1)**2*(x-1)**2))] }
-
-
-
-def A213574():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(8*x))-(27*x**2))+(10*x**3)+(16*x**4)))/((1-(3*x))+(2*x**2))**3)] }
-
-
-
-def A213575():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/((1-(2*x))*(1-x)**4))] }
-
-
-
-def A213577():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-x)+(3*x**2))-(2*x**3)))/(((1-(3*x))+x**2)*(1-x-x**2)**2))] }
-
-
-
-def A213578():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/((1-(2*x))+x**3)**2)] }
-
-
-
-def A213585():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-(2*x**2)-(4*x**3)-(2*x**4)))/((1-(2*x))+x**3)**2)] }
-
-
-
-def A213586():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+x**2))/((1-x-x**2)*(1-x)**3))] }
-
-
-
-def A213588():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x))-(3*x**2))+x**3))/((1+x)*((1-(3*x))+x**2)**2))] }
-
-
-
-def A213589():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**2)))/(1-x-x**2)**3)] }
-
-
-
-def A213604():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(7*x**2)+(4*x**3)+(6*x**4)+(4*x**5)+(7*x**6)+(6*x**7))/((x-1)**2*(1+x+x**2+x**3+x**4+x**5+x**6+x**7)))] }
-
-
-
-def A213659():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-11)+(36*x)))/(((4*x)-1)*((3*x)-1))))] }
-
-
-
-def A213663():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-7)+(8*x)+(7*x**2)+(6*x**3)))/(((2*x)-1)*((x**3+x**2+x)-1))))] }
-
-
-
-def A213665():
- x = SR.var('x')
- return { 'ogf': [((x**3*(13+(10*x)+(7*x**2)))/(1-x-x**2-x**3))] }
-
-
-
-def A213667():
- x = SR.var('x')
- return { 'ogf': [(((1+x)/(1-(2*x)-x**2))-(1/(1-x))-x)] }
-
-
-
-def A213688():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(4*x)-x**2))/((1-x)*((1+(2*x))-x**2)*(1-(14*x)-x**2)))] }
-
-
-
-def A213785():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2-x))/((1-x)*((1-(6*x))+x**2)*(1-(2*x)-x**2)))] }
-
-
-
-def A213787():
- x = SR.var('x')
- return { 'ogf': [((((x**4+(2*x**3))-(4*x**2)-(5*x)-2)*x**3)/((x+1)*(x**2-x-1)*((x**2+(4*x))-1)*((x**2-(3*x))+1)*((x**2+x)-1)))] }
-
-
-
-def A213788():
- x = SR.var('x')
- return { 'ogf': [(((((x**4+(2*x**3))-(23*x**2))+(4*x)+10)*x**3)/((x-1)*((x**2+(14*x))-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)*((x**2-(6*x))+1)))] }
-
-
-
-def A213801():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-4)-(5*x)-(3*x**2)-(7*x**3)-x**5-(2*x**6))+x**7))/((x**2+1)*(1+x)**2*(x-1)**4)))] }
-
-
-
-def A213802():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((18+(97*x)+(258*x**2)+(380*x**3)+(266*x**4)+(86*x**5)+(22*x**6)+(4*x**7))-(4*x**8))+x**9))/((1+x)**3*(x-1)**7)))] }
-
-
-
-def A213807():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**6-(19*x**5))+(4*x**4)+(53*x**3)+(7*x**2))-(8*x)-6)*x**2)/((x-1)*(x+1)*(x**2-x-1)*((x**2+x)-1)*((x**2+(4*x))-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A213810():
- x = SR.var('x')
- return { 'ogf': [((((-(15047*x**2))+(29600*x))-14561)/(x-1)**3)] }
-
-
-
-def A213827():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(11*x)+(5*x**2)))/(1-x)**5)] }
-
-
-
-def A213929():
- x = SR.var('x')
- return { 'ogf': [(((1/x)+1+x)**2*((1/x**2)+1+x**2)*((1/x**5)+1+x**5)*((1/x**10)+1+x**10)**2*((1/x**20)+1+x**20)*((1/x**50)+1+x**50))] }
-
-
-
-def A213933():
- x = SR.var('x')
- return { 'ogf': [((x*((1+x+(3*x**2)+(2*x**4))-(2*x**9)))/(1-(3*x**3)))] }
-
-
-
-def A213967():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x**2)+x**3))/((1-(2*x))+x**4))] }
-
-
-
-def A214066():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(4*x)+(3*x**2)+(5*x**3)))/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A214068():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(2*x**2)+(3*x**3)))/((1-x-x**4)+x**5))] }
-
-
-
-def A214085():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(23*x)+(153*x**2)+(161*x**3)+(22*x**4)))/(1-x)**7)] }
-
-
-
-def A214091():
- x = SR.var('x')
- return { 'ogf': [(((-3)+(10*x))/(((3*x)-1)*((2*x)-1)))] }
-
-
-
-def A214102():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**2)-1)*(((8*x**3)-(8*x**2)-(23*x))+9))/((x-1)*((2*x)-1)*(1+x)*(((2*x**2)-(5*x))+1)*((2*x**2)+(4*x)+1))))] }
-
-
-
-def A214107():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x)-1)*((9*x)-4))/((x-1)*(((73*x**2)-(34*x))+1))))] }
-
-
-
-def A214108():
- x = SR.var('x')
- return { 'ogf': [(-((10*x*((-1)+x))/((1-(68*x))+(66*x**2))))] }
-
-
-
-def A214109():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((31-(1206*x))+(5144*x**2)+(5174*x**3))-(42107*x**4))+(28260*x**5)))/((x-1)*(((((40625*x**5)-(49231*x**4)-(6174*x**3))+(5570*x**2))-(199*x))+1))))] }
-
-
-
-def A214113():
- x = SR.var('x')
- return { 'ogf': [(-((x*((7*x)+4)*((3*x)-1))/((x-1)*((3*x)+1)*((7*x)-1)*(1+x))))] }
-
-
-
-def A214135():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(17*x)))/(((32*x)-1)*((2*x)-1))))] }
-
-
-
-def A214136():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((4-(259*x))+(2161*x**2))-(4226*x**3))+(1880*x**4)))/((x-1)*(((780*x**2)-(121*x))+1)*(((4*x**2)-(7*x))+1))))] }
-
-
-
-def A214137():
- x = SR.var('x')
- return { 'ogf': [(-((x*((11-(1029*x))+(6743*x**2)))/(((6*x)-1)*(((2552*x**2)-(367*x))+1))))] }
-
-
-
-def A214260():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x))/(1-(2*x)-x**3))] }
-
-
-
-def A214286():
- x = SR.var('x')
- return { 'ogf': [((x**6*(1+x**2+x**5+x**6+x**7+x**9+x**10))/((x-1)*(1+x)*(x**2+1)*((x**2+x)-1)*(x**4+1)*(x**8+1)))] }
-
-
-
-def A214297():
- x = SR.var('x')
- return { 'ogf': [(-(((((1-(2*x))+(4*x**2))-(8*x**3))+(3*x**4))/((1-x)**2*(1-x**4))))] }
-
-
-
-def A214345():
- x = SR.var('x')
- return { 'ogf': [((((x**3-(3*x**2))+(3*x))-5)/((x-1)**3*(x+1)))] }
-
-
-
-def A214392():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+x**3+(3*x**4)+(2*x**5)+x**6))/(1-x**4)**2)] }
-
-
-
-def A214393():
- x = SR.var('x')
- return { 'ogf': [((((13-(9*x))+(19*x**2))-(7*x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A214446():
- x = SR.var('x')
- return { 'ogf': [((2*x*((-1)+(3*x)+x**2))/(x-1)**4)] }
-
-
-
-def A214493():
- x = SR.var('x')
- return { 'ogf': [((((17-(11*x))+(19*x**2))-(7*x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A214525():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(7*x**2)))/((((1-(7*x))+(23*x**2))-(49*x**3))+(49*x**4)))] }
-
-
-
-def A214541():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2+(11*x)+(8*x**2)+(3*x**3)+(4*x**5))-x**7-(2*x**8))+x**9))/((1+x)*(1+x+x**2)**2*(x-1)**5)))] }
-
-
-
-def A214580():
- x = SR.var('x')
- return { 'ogf': [((3*x*(14+(801*x)+(3936*x**2)+(3482*x**3)+(530*x**4)+(5*x**5)))/(1-x)**7)] }
-
-
-
-def A214596():
- x = SR.var('x')
- return { 'ogf': [((-(x*(((2+(23*x)+(56*x**2)+(84*x**3)+(86*x**4)+(87*x**5)+(60*x**6)+(23*x**7))-(2*x**9))+x**11)))/((1+x+x**2)**2*(1+x)**3*(x-1)**5))] }
-
-
-
-def A214616():
- x = SR.var('x')
- return { 'ogf': [(-((x*(9+(26*x)+(5*x**2)))/(x-1)**7))] }
-
-
-
-def A214630():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**9)+(3*x**8)+(6*x**7)+(2*x**6)+(6*x**5)+(6*x**4)+(2*x**3))-1)/((x-1)**3*(x+1)**3*(x**2+1)**3)))] }
-
-
-
-def A214649():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+sqrt(((1-(2*x))+(5*x**2))))/(2*x))] }
-
-
-
-def A214659():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(10*x)+(3*x**2)))/(x-1)**4)] }
-
-
-
-def A214663():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2-(3*x**3)-x**4))] }
-
-
-
-def A214675():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(12*x)+(5*x**2)))/(1-x)**3)] }
-
-
-
-def A214683():
- x = SR.var('x')
- return { 'ogf': [(-((1+x+x**2)/((1+x)-(2*x**2)-x**3)))] }
-
-
-
-def A214684():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**5)+x**4+(3*x**3)+(2*x**2)+x+1))/((x-1)*(x+1)*((x**2-x)+1)*(x**2+x+1))))] }
-
-
-
-def A214699():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(3*x**2))+x**3))] }
-
-
-
-def A214727():
- x = SR.var('x')
- return { 'ogf': [((x**2-x-1)/((x**3+x**2+x)-1))] }
-
-
-
-def A214731():
- x = SR.var('x')
- return { 'ogf': [(-((x*(2-(7*x)-x**3))/(1-x)**4))] }
-
-
-
-def A214732():
- x = SR.var('x')
- return { 'ogf': [(((1021-(2002*x))+(1031*x**2))/(1-x)**3)] }
-
-
-
-def A214733():
- x = SR.var('x')
- return { 'ogf': [(x/(1+x+(3*x**2)))] }
-
-
-
-def A214772():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**6)*(1-x**9)*(1-x**20)))] }
-
-
-
-def A214774():
- x = SR.var('x')
- return { 'ogf': [((1+x)**2*(1+x**2)*(1+x**5)*(1+x**10)**2*(1+x**20)*(1+x**50))] }
-
-
-
-def A214777():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((((((((((x**22-x**21)+x**17)-x**16)+x**15)-x**14)+x**13)-x**12)+x**11)-x**10)+x**9+x**8)-(2*x**7))+x**6+x**5+(3*x))-6))/(x-1)**2))] }
-
-
-
-def A214779():
- x = SR.var('x')
- return { 'ogf': [(-(((1-x)+x**2)/((1-(3*x**2))+x**3)))] }
-
-
-
-def A214825():
- x = SR.var('x')
- return { 'ogf': [((x**2-(2*x)-1)/((x**3+x**2+x)-1))] }
-
-
-
-def A214826():
- x = SR.var('x')
- return { 'ogf': [((x**2-(3*x)-1)/((x**3+x**2+x)-1))] }
-
-
-
-def A214827():
- x = SR.var('x')
- return { 'ogf': [((x**2-(4*x)-1)/((x**3+x**2+x)-1))] }
-
-
-
-def A214828():
- x = SR.var('x')
- return { 'ogf': [((x**2-(5*x)-1)/((x**3+x**2+x)-1))] }
-
-
-
-def A214829():
- x = SR.var('x')
- return { 'ogf': [((x**2-(6*x)-1)/((x**3+x**2+x)-1))] }
-
-
-
-def A214830():
- x = SR.var('x')
- return { 'ogf': [((x**2-(7*x)-1)/((x**3+x**2+x)-1))] }
-
-
-
-def A214831():
- x = SR.var('x')
- return { 'ogf': [((x**2-(8*x)-1)/((x**3+x**2+x)-1))] }
-
-
-
-def A214838():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((x**4+x**3)-(14*x**2))+x+1))/((x-1)*((x**2-(6*x))+1)*(x**2+(6*x)+1))))] }
-
-
-
-def A214855():
- x = SR.var('x')
- return { 'ogf': [(-((610*x**2)/((x**2+(1364*x))-1)))] }
-
-
-
-def A214863():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(4*x)+x**2))/((1+x)*(x-1)**2))] }
-
-
-
-def A214864():
- x = SR.var('x')
- return { 'ogf': [((x*(10+x+(3*x**2)+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A214865():
- x = SR.var('x')
- return { 'ogf': [((x*(9+(2*x)+(2*x**2)+(2*x**3)+x**4))/((1+x)*(x**2+1)*(x-1)**2))] }
-
-
-
-def A214899():
- x = SR.var('x')
- return { 'ogf': [(((x**2+x)-2)/((x**3+x**2+x)-1))] }
-
-
-
-def A214927():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*(x+1))/((x**4+x**2)-1)))] }
-
-
-
-def A214931():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-(6*x**2))+x**3+x**4))/((((1-(7*x))+(12*x**2))-(7*x**3))+(3*x**4)+(2*x**5)))] }
-
-
-
-def A214951():
- x = SR.var('x')
- return { 'ogf': [((2-x-x**2)/(1-(3*x)-(6*x**2)-x**3))] }
-
-
-
-def A214954():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+x**2)/(1-(3*x)-(6*x**2)-x**3))] }
-
-
-
-def A214982():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1))/((x-1)*((x**2-(7*x))+1)*(x**2+(3*x)+1))))] }
-
-
-
-def A214992():
- x = SR.var('x')
- return { 'ogf': [(((7+(5*x))-x**2)/((1-(6*x)-(6*x**2))+x**3))] }
-
-
-
-def A214993():
- x = SR.var('x')
- return { 'ogf': [((11-(11*x)-x**2)/((1-(12*x))+(10*x**2)+x**3))] }
-
-
-
-def A214994():
- x = SR.var('x')
- return { 'ogf': [((12-(10*x)-x**2)/((1-(12*x))+(10*x**2)+x**3))] }
-
-
-
-def A214995():
- x = SR.var('x')
- return { 'ogf': [(((18+(16*x))-x**2)/((1-(17*x)-(17*x**2))+x**3))] }
-
-
-
-def A214996():
- x = SR.var('x')
- return { 'ogf': [(((3+(2*x))-(2*x**2))/((1-(3*x)-(2*x**2))+(2*x**3)))] }
-
-
-
-def A214997():
- x = SR.var('x')
- return { 'ogf': [(((4+x)-(2*x**2))/((1-(3*x)-(2*x**2))+(2*x**3)))] }
-
-
-
-def A214998():
- x = SR.var('x')
- return { 'ogf': [(((4+(2*x))-x**2)/((1-(3*x)-(3*x**2))+x**3))] }
-
-
-
-def A215006():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x**2))+x**3+x**4))/((1+x)*(1-x)**2*(1-x-x**2)))] }
-
-
-
-def A215007():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(2*x**2))/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A215008():
- x = SR.var('x')
- return { 'ogf': [((x-(2*x**2))/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A215076():
- x = SR.var('x')
- return { 'ogf': [(((-3)+(6*x)+(4*x**2))/((-1)+(3*x)+(4*x**2)+x**3))] }
-
-
-
-def A215082():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+1)*(x**3+x+1))/(((x**2-x)+1)*(x**2+x+1)*((x**4+x**2)-1)**2))] }
-
-
-
-def A215095():
- x = SR.var('x')
- return { 'ogf': [((x+(2*x**2))/(1-x-x**2-x**3-(2*x**4)))] }
-
-
-
-def A215097():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**2)+x**3)/(((-1)+x)**4*(1+x**2)))] }
-
-
-
-def A215098():
- x = SR.var('x')
- return { 'ogf': [((((x-x**2)+(3*x**3))-x**4)/(((((1-(3*x))+(4*x**2))-(4*x**3))+(3*x**4))-x**5))] }
-
-
-
-def A215100():
- x = SR.var('x')
- return { 'ogf': [((2-x-x**2)/(1-(3*x)-(4*x**2)-x**3))] }
-
-
-
-def A215108():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((2*x)+1))/((x**2+x+1)*((x**2+x)-1)**2))] }
-
-
-
-def A215112():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/(((-1)-(2*x))+x**2+x**3))] }
-
-
-
-def A215139():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((((6*x**4)+x**3)-(12*x**2)-x)+5))/((((-1)+(7*x**2))-(14*x**4))+(7*x**6))))] }
-
-
-
-def A215143():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(7*x**2))/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A215147():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**6-x**5-(2*x**4))+(2*x**3))-x-1))/((x-1)**4*(x+1)**3)))] }
-
-
-
-def A215149():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(6*x))+(5*x**2)))/(((2*x)-1)**2*(x-1)**2))] }
-
-
-
-def A215171():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)**6*(1+(6*x)+x**2)**4*((1-(34*x))+x**2)))] }
-
-
-
-def A215175():
- x = SR.var('x')
- return { 'ogf': [((((((1-x**3)+(4*x**4))-(2*x**5)-(8*x**6)-(2*x**7))+(3*x**8))-(2*x**9)-x**11-(2*x**2))/((x**2+1)*(x**4+1)*(x-1)**3*(1+x)**3))] }
-
-
-
-def A215205():
- x = SR.var('x')
- return { 'ogf': [((((((-1)+x)-(3*x**2)-(3*x**4))+x**3+x**5)-x**6)/((x-1)*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A215255():
- x = SR.var('x')
- return { 'ogf': [((((x**17+x**14+x**12+(5*x**11)+(2*x**10))-x**9)+(3*x**8)+(3*x**7)+(6*x**5)+(4*x**4)+(3*x**3)+(2*x**2)+x+1)/(1-(10*x**6)-(6*x**12)-x**18))] }
-
-
-
-def A215404():
- x = SR.var('x')
- return { 'ogf': [(x**2/((1-(4*x))+(3*x**2)+x**3))] }
-
-
-
-def A215415():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(3*x))+x**2))/((x**2+1)*(x-1)**2)))] }
-
-
-
-def A215448():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)*(x-1))/((1-(3*x))+x**3))] }
-
-
-
-def A215455():
- x = SR.var('x')
- return { 'ogf': [(((3-(12*x))+(9*x**2))/(((1-(6*x))+(9*x**2))-x**3))] }
-
-
-
-def A215458():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+(2*x**2)))/((x-1)*((2*x)-1)*(((2*x**2)-x)+1))))] }
-
-
-
-def A215465():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(1+x))/(((x**2-(7*x))+1)*((x**2-(3*x))+1))))] }
-
-
-
-def A215484():
- x = SR.var('x')
- return { 'ogf': [((9*x**2)/(1-(21*x**2)-(7*x**3)))] }
-
-
-
-def A215492():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+(6*x**2))/(1-(21*x**2)-(7*x**3)))] }
-
-
-
-def A215493():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A215494():
- x = SR.var('x')
- return { 'ogf': [(((7-(28*x))+(21*x**2))/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A215500():
- x = SR.var('x')
- return { 'ogf': [((2*(2-x)*(1+x)*(1-(2*x)))/(((1-(3*x))+x**2)*((1+x)-x**2)))] }
-
-
-
-def A215502():
- x = SR.var('x')
- return { 'ogf': [(((4-(3*x)-(12*x**2))+(2*x**3))/((1-x)*(1+(2*x))*(1-(2*x)-(2*x**2))))] }
-
-
-
-def A215503():
- x = SR.var('x')
- return { 'ogf': [((((7-(6*x)-(45*x**2))+(20*x**3)+(51*x**4))-(2*x**5)-(5*x**6))/((1+x)*((1+(2*x))-x**2)*(((1-(4*x))+(2*x**2)+(4*x**3))-x**4)))] }
-
-
-
-def A215510():
- x = SR.var('x')
- return { 'ogf': [(((7*x)-(14*x**2))/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A215512():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2)/(((1-(5*x))+(6*x**2))-x**3))] }
-
-
-
-def A215543():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**3)-(8*x**2))+(28*x)+5)*x)/(x-1)**4)] }
-
-
-
-def A215544():
- x = SR.var('x')
- return { 'ogf': [((((3*x**4)-(15*x**3)-(25*x**2)-(205*x)-14)*x)/(x-1)**5)] }
-
-
-
-def A215545():
- x = SR.var('x')
- return { 'ogf': [(((((4*x**5)-(24*x**4))+(256*x**3)+(1461*x**2)+(1386*x)+42)*x)/(x-1)**6)] }
-
-
-
-def A215546():
- x = SR.var('x')
- return { 'ogf': [((((5*x**6)-(35*x**5)-(609*x**4)-(11921*x**3)-(24892*x**2)-(9072*x)-132)*x)/(x-1)**7)] }
-
-
-
-def A215547():
- x = SR.var('x')
- return { 'ogf': [(((((6*x**7)-(48*x**6))+(2808*x**5)+(83196*x**4)+(355384*x**3)+(323184*x**2)+(58584*x)+429)*x)/(x-1)**8)] }
-
-
-
-def A215548():
- x = SR.var('x')
- return { 'ogf': [((((7*x**8)-(63*x**7)-(9615*x**6)-(572643*x**5)-(4331133*x**4)-(7786221*x**3)-(3699621*x**2)-(376497*x)-1430)*x)/(x-1)**9)] }
-
-
-
-def A215549():
- x = SR.var('x')
- return { 'ogf': [(((((8*x**9)-(80*x**8))+(37540*x**7)+(3833365*x**6)+(48377194*x**5)+(151114390*x**4)+(142200850*x**3)+(39434230*x**2)+(2418130*x)+4862)*x)/(x-1)**10)] }
-
-
-
-def A215550():
- x = SR.var('x')
- return { 'ogf': [((((9*x**10)-(99*x**9)-(140503*x**8)-(25387417*x**7)-(510202946*x**6)-(2.566871318E9*x**5)-(4.166581331E9*x**4)-(2.313217577E9*x**3)-(402028913*x**2)-(15553109*x)-16796)*x)/(x-1)**11)] }
-
-
-
-def A215560():
- x = SR.var('x')
- return { 'ogf': [((3-(6*x)-(46*x**2))/(1-(3*x)-(46*x**2)-x**3))] }
-
-
-
-def A215569():
- x = SR.var('x')
- return { 'ogf': [(((14*x)+(7*x**2))/(1-(3*x)-(46*x**2)-x**3))] }
-
-
-
-def A215572():
- x = SR.var('x')
- return { 'ogf': [((2-x-x**2)/(1-(3*x)-(46*x**2)-x**3))] }
-
-
-
-def A215575():
- x = SR.var('x')
- return { 'ogf': [(((3-(14*x))+(7*x**2))/((1-(7*x))+(7*x**2)+(7*x**3)))] }
-
-
-
-def A215580():
- x = SR.var('x')
- return { 'ogf': [((((-2)+x)-(2*x**2))/((x-1)*(1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A215595():
- x = SR.var('x')
- return { 'ogf': [(-(x/((((-1)+(52*x))-(677*x**2))+(26*x**3))))] }
-
-
-
-def A215602():
- x = SR.var('x')
- return { 'ogf': [(((2-x)+(2*x**2))/((1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A215626():
- x = SR.var('x')
- return { 'ogf': [((((((x**6-(7*x**5))+(15*x**4))-(4*x**3)-(19*x**2))+(14*x)+1)*x)/(x-1)**8)] }
-
-
-
-def A215627():
- x = SR.var('x')
- return { 'ogf': [(((((((5*x**6)-(28*x**5))+(53*x**4))-(27*x**3)-(24*x**2))+(21*x)+1)*x)/(1-x)**9)] }
-
-
-
-def A215628():
- x = SR.var('x')
- return { 'ogf': [(-((((((((4*x**7)-(34*x**6))+(110*x**5))-(161*x**4))+(83*x**3)+(30*x**2))-(32*x)-1)*x)/(x-1)**10))] }
-
-
-
-def A215634():
- x = SR.var('x')
- return { 'ogf': [((3+(12*x)+(9*x**2))/(1+(6*x)+(9*x**2)+(3*x**3)))] }
-
-
-
-def A215635():
- x = SR.var('x')
- return { 'ogf': [((3+(30*x)+(108*x**2)+(168*x**3)+(105*x**4)+(18*x**5))/(1+(12*x)+(54*x**2)+(112*x**3)+(105*x**4)+(36*x**5)+(2*x**6)))] }
-
-
-
-def A215636():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**3))-(12*x**4)-(9*x**5))/(1+(12*x)+(54*x**2)+(112*x**3)+(105*x**4)+(36*x**5)+(2*x**6)))] }
-
-
-
-def A215664():
- x = SR.var('x')
- return { 'ogf': [((3*(1-x**2))/((1-(3*x**2))+x**3))] }
-
-
-
-def A215665():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(1+x))/((1-(3*x**2))+x**3)))] }
-
-
-
-def A215666():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(1-(2*x)))/((1-(3*x**2))+x**3)))] }
-
-
-
-def A215687():
- x = SR.var('x')
- return { 'ogf': [((2*(((3*x**3)-(10*x**2))+(47*x)+8)*x)/(1-x)**5)] }
-
-
-
-def A215688():
- x = SR.var('x')
- return { 'ogf': [((4*(((8*x**6)-(41*x**5))+(105*x**4)+(181*x**3)+(1925*x**2)+(1419*x)+48)*x)/(1-x)**7)] }
-
-
-
-def A215694():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(3*x**2))/(((1-(5*x))+(6*x**2))-x**3))] }
-
-
-
-def A215695():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(4*x**2))/(((1-(5*x))+(6*x**2))-x**3))] }
-
-
-
-def A215721():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((6*x**13)-(2*x**12))+(8*x**10))-(2*x**9)-(2*x**8))+(2*x**7)+(3*x**5)+(6*x**4)+(6*x**3)+(4*x**2)+(4*x)+1))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A215773():
- x = SR.var('x')
- return { 'ogf': [((((8*x**2)+(4*x)+3)*x)/(1-x)**7)] }
-
-
-
-def A215774():
- x = SR.var('x')
- return { 'ogf': [((((43*x**3)+(31*x**2)+(19*x)+12)*x)/(1-x)**9)] }
-
-
-
-def A215794():
- x = SR.var('x')
- return { 'ogf': [(-(((1+(10*x))-(7*x**2))/(((1-(21*x))+(35*x**2))-(7*x**3))))] }
-
-
-
-def A215814():
- x = SR.var('x')
- return { 'ogf': [(((2481403-(4963298*x))+(2602927*x**2))/(1-x)**3)] }
-
-
-
-def A215817():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)-1)*(((((6*x**4)-(40*x**3))+(58*x**2))-(24*x))+3))/((((((x**6-(24*x**5))+(86*x**4))-(104*x**3))+(53*x**2))-(12*x))+1)))] }
-
-
-
-def A215828():
- x = SR.var('x')
- return { 'ogf': [((((((x**8-(5*x**7))+(25*x**6)+(6*x**5))-(22*x**4))+(62*x**3))-(3*x**2)-x-3)/((x**9+(25*x**6)+(31*x**3))-1))] }
-
-
-
-def A215831():
- x = SR.var('x')
- return { 'ogf': [(((((((3*x**8)-(11*x**7))+(35*x**6))-(30*x**5)-(26*x**4)-(22*x**3)-(9*x**2))+x)-1)/((x**9+(105*x**6))-(33*x**3)-1))] }
-
-
-
-def A215862():
- x = SR.var('x')
- return { 'ogf': [(((x-4)*x)/(x-1)**5)] }
-
-
-
-def A215863():
- x = SR.var('x')
- return { 'ogf': [((((6*x**2)-(2*x)-19)*x)/(x-1)**7)] }
-
-
-
-def A215864():
- x = SR.var('x')
- return { 'ogf': [(((((7*x**3)+(59*x**2))-(34*x)-137)*x)/(x-1)**9)] }
-
-
-
-def A215865():
- x = SR.var('x')
- return { 'ogf': [(((((194*x**4)-(713*x**3)-(5*x**2))+(113*x)+1356)*x)/(1-x)**11)] }
-
-
-
-def A215877():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1)**2*((x**2-(4*x))+1))/((((((x**6-(24*x**5))+(86*x**4))-(104*x**3))+(53*x**2))-(12*x))+1)))] }
-
-
-
-def A215878():
- x = SR.var('x')
- return { 'ogf': [(-((10*x*((3*x**2)+(2*x)+1))/((x**2+1)*((6*x**2)-1))))] }
-
-
-
-def A215898():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+(3*x**2)+(3*x**4))-x**5)+x**6)/((1-x)*(1+x+x**2+x**3)**2))] }
-
-
-
-def A215917():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x+2))/((1+(3*x))-x**3))] }
-
-
-
-def A215919():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(1-x))/((1+(3*x))-x**3)))] }
-
-
-
-def A215928():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x/(1-(x/(1-(x/(1+x))))))))] }
-
-
-
-def A215936():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(x/(1+(x/(1+(x/(1+x))))))))] }
-
-
-
-def A215945():
- x = SR.var('x')
- return { 'ogf': [(-((3*(1+x)**2)/(((1-(33*x))+(27*x**2))-(3*x**3))))] }
-
-
-
-def A215948():
- x = SR.var('x')
- return { 'ogf': [((3*((1-(22*x))+(9*x**2)))/(((1-(33*x))+(27*x**2))-(3*x**3)))] }
-
-
-
-def A215960():
- x = SR.var('x')
- return { 'ogf': [((2*(1093+(30318*x)+(129879*x**2)+(129844*x**3)+(30339*x**4)+(1086*x**5)+x**6))/(1-x)**7)] }
-
-
-
-def A215973():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-1)+sqrt((((1-(8*x))+(12*x**2))-(4*x**3))))/(2*x*(x-1)))] }
-
-
-
-def A216034():
- x = SR.var('x')
- return { 'ogf': [(((((1+x+(11*x**2))-(70*x**3))+(10*x**4))-(26*x**5)-(11*x**6)-(3*x**7)-x**8)/((1-(105*x**3)-(33*x**6))+x**9))] }
-
-
-
-def A216073():
- x = SR.var('x')
- return { 'ogf': [((x+(7*x**2)+(7*x**3)+x**4)/((1-(10*x**2))+x**4))] }
-
-
-
-def A216100():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x)+(21*x**2)+(31*x**3)+(41*x**4)+(51*x**5)+(61*x**6)+(71*x**7)+(81*x**8)+(91*x**9))/((1-x)*(1+x)*((((1-x)+x**2)-x**3)+x**4)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A216106():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((16*x**2)-(67*x)-24))/(x-1)**4))] }
-
-
-
-def A216107():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((34*x**3)-(71*x**2))+(220*x)+42))/(x-1)**5))] }
-
-
-
-def A216108():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*((5*x**2)-(10*x)-3))/(x-1)**4))] }
-
-
-
-def A216109():
- x = SR.var('x')
- return { 'ogf': [(-((3*(((33*x**3)-(88*x**2))+(89*x)+14))/(x-1)**5))] }
-
-
-
-def A216110():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*(x**2-(10*x)-3))/(x-1)**4))] }
-
-
-
-def A216111():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((9*x**3)-(4*x**2))+(89*x)+14))/(x-1)**5))] }
-
-
-
-def A216112():
- x = SR.var('x')
- return { 'ogf': [((9*x*(x+3)*((3*x)+1))/(x-1)**4)] }
-
-
-
-def A216113():
- x = SR.var('x')
- return { 'ogf': [((3*x*((3*x**3)-(92*x**2)-(89*x)-14))/(x-1)**5)] }
-
-
-
-def A216114():
- x = SR.var('x')
- return { 'ogf': [(-((100*x*((7*x**2)-(14*x)-5))/(x-1)**4))] }
-
-
-
-def A216115():
- x = SR.var('x')
- return { 'ogf': [(-((20*x*(((98*x**3)-(265*x**2))+(296*x)+51))/(x-1)**5))] }
-
-
-
-def A216122():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((((2112*x**4)+(10912*x**3))-(126044*x**2))+(14464*x)+15783))/((x-1)*((2*x)-1)**2*((4*x)-1)**2)))] }
-
-
-
-def A216123():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((((81408*x**6)+(1294464*x**5)+(4778592*x**4)+(5101816*x**3))-(6182940*x**2))+(879018*x)+219113))/((x-1)*((2*x)-1)**3*((4*x)-1)**3)))] }
-
-
-
-def A216126():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1+(5*x)+(25*x**2)+(125*x**3)+(624*x**4)+(1120*x**5)+(1600*x**6)))/((1-x)*(1+x)*(1+x**2)))] }
-
-
-
-def A216134():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-x**2-x**3))/((1-x)*((1+(2*x))-x**2)*(1-(2*x)-x**2)))] }
-
-
-
-def A216162():
- x = SR.var('x')
- return { 'ogf': [((((((((-1)-x**3)+(5*x**4))-(3*x**5)-(2*x**6))+x**7)-(2*x**8))+x**9)/((x-1)*(1+x)*(x**4-(2*x**2)-1)*((x**4+(2*x**2))-1)))] }
-
-
-
-def A216164():
- x = SR.var('x')
- return { 'ogf': [((4*x*(((125*x**4)+(25*x**3)+(5*x**2)+(9*x))-1))/((10*x)-1))] }
-
-
-
-def A216172():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-x)**5*(1+x+x**2)))] }
-
-
-
-def A216173():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)))/((1-x)**5*(1+x+x**2)))] }
-
-
-
-def A216175():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(4*x**2)+(3*x**3)))/((1+x)*(1+x+x**2)*(1-x)**5))] }
-
-
-
-def A216178():
- x = SR.var('x')
- return { 'ogf': [((((-4)-x)+(3*x**3))/((x-1)*(1+x)*(1+x**2)))] }
-
-
-
-def A216212():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-x**2-(2*x**3))+x**4)/((1-(5*x**2))+(5*x**4)))] }
-
-
-
-def A216241():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**2*(1+x)**2*(1+(2*x)))/((1-(2*x**2))*((1-(4*x**2))+x**4)))] }
-
-
-
-def A216243():
- x = SR.var('x')
- return { 'ogf': [(((-4)+(7*x)+x**2)/((x-1)*(1+x)*((x**2-(3*x))+1)))] }
-
-
-
-def A216257():
- x = SR.var('x')
- return { 'ogf': [(((86861-(195982*x))+(110801*x**2))/(1-x)**3)] }
-
-
-
-def A216263():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*((1-(4*x))+x**2)))] }
-
-
-
-def A216271():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(((1-(6*x))+(9*x**2))-(2*x**3)))] }
-
-
-
-def A216316():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(8*x))*(1+x)**2)**(1/3))] }
-
-
-
-def A216317():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(8*x))*(1+x)**2)**(1/6))] }
-
-
-
-def A216318():
- x = SR.var('x')
- return { 'ogf': [((16*x*(1+sqrt((1-(4*x)))+(((5+(3*sqrt((1-(4*x)))))-(2*x))*((-1)+x)*x)))/((1+sqrt((1-(4*x))))**5*sqrt((1-(4*x)))))] }
-
-
-
-def A216357():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(16*x))*(1+(4*x))**2)**(1/4))] }
-
-
-
-def A216358():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(32*x))*((1+(11*x))-x**2)**2)**(1/5))] }
-
-
-
-def A216414():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(6*x)+(4*x**2)+x**3))/((x-1)*(1+x)**4))] }
-
-
-
-def A216434():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt(((1-(2*x))**2-(4*x**3*(2-x)))))/(2*x**3*(2-x)))] }
-
-
-
-def A216450():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**2)+(20*x)+3)/(x**3-(3*x**2)-(10*x)-1)))] }
-
-
-
-def A216454():
- x = SR.var('x')
- return { 'ogf': [(2/((1-(3*x))+sqrt(((1-(3*x))**2-(4*x**3*(3-x))))))] }
-
-
-
-def A216486():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x**2))+(2*x**3)+x**4))/((((1+x)-(5*x**2)-(4*x**3))+(6*x**4)+(3*x**5))-x**6))] }
-
-
-
-def A216508():
- x = SR.var('x')
- return { 'ogf': [(-(((((((91*x**5)-(364*x**4))+(468*x**3))-(260*x**2))+(65*x))-6)/(((((((13*x**6)-(91*x**5))+(182*x**4))-(156*x**3))+(65*x**2))-(13*x))+1)))] }
-
-
-
-def A216540():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((2*x)-1)*((3*x)-1))/(((((((13*x**6)-(91*x**5))+(182*x**4))-(156*x**3))+(65*x**2))-(13*x))+1)))] }
-
-
-
-def A216541():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((((1-(2*x))+sqrt((1-(4*x)-(16*x**2))))/2)))/x)] }
-
-
-
-def A216588():
- x = SR.var('x')
- return { 'ogf': [(((((((((-(48*x**2))-(2*x)-(17/3))+((1-x)/(x**2+1))+(1/(6*((2*x)+1)))+((x+1)/(x**2-(2*x)-1)))-(1/(x-1)**2))+((8-(4*x**2))/(((2*x**4)-x**2)+1))+(((-16)+(62*x))/((x**2-(4*x))+1)**2))-(2/3/(x+1)))+(1/(x+1)**2)+((17+(3*x))/((x**2-(4*x))+1))+(((-2)-(4*x))/((2*x**2)-(4*x)-1))+(2/3/(x-1)))-(1/(6*((2*x)-1))))+((1-x)/((x**2+(2*x))-1))+(((-2)+(4*x))/(((2*x**2)+(4*x))-1))+(16/3/((3*x**2)-1))+((2*x)/(x**2+1)**2))] }
-
-
-
-def A216597():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((13*x**4)-(26*x**3))+(22*x**2))-(8*x))+1))/(((((((13*x**6)-(91*x**5))+(182*x**4))-(156*x**3))+(65*x**2))-(13*x))+1)))] }
-
-
-
-def A216604():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-x)**2-(4*x**3*(1-x)))))/(2*x**3*(1-x)))] }
-
-
-
-def A216605():
- x = SR.var('x')
- return { 'ogf': [((((6+(5*x))-(20*x**2)-(12*x**3))+(12*x**4)+(3*x**5))/((((1+x)-(5*x**2)-(4*x**3))+(6*x**4)+(3*x**5))-x**6))] }
-
-
-
-def A216676():
- x = SR.var('x')
- return { 'ogf': [(((((-1)-x-(3*x**2)-(8*x**3)-(3*x**4))+(8*x**5))-(9*x**7)-x**6)/((x-1)*(1+x)*(x**2+1)*((x**4-x**2)+1)))] }
-
-
-
-def A216702():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(16*x))**(3/4))] }
-
-
-
-def A216710():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+x**2)**2/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5))] }
-
-
-
-def A216714():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*(((-1)-x)+x**2))/(((2*x)-1)*((x**3+x**2)-1))))] }
-
-
-
-def A216755():
- x = SR.var('x')
- return { 'ogf': [((x*((((-1)-x-(5*x**2)-(9*x**3)-x**4-(7*x**5)-(2*x**6)-(2*x**8))+(7*x**9))-x**10-(5*x**12)-(8*x**13)-x**14-(9*x**15)))/((x-1)*(1+x)*(x**2+1)*(x**4+1)*((x**8-x**4)+1)))] }
-
-
-
-def A216757():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*(1-x))/(((1-(6*x))+(9*x**2))-(3*x**3))))] }
-
-
-
-def A216801():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((52*x**5)-(520*x**4))+(689*x**3))-(299*x**2))+(48*x))-2))/(((((((13*x**6)-(91*x**5))+(182*x**4))-(156*x**3))+(65*x**2))-(13*x))+1)))] }
-
-
-
-def A216844():
- x = SR.var('x')
- return { 'ogf': [((2*((1-x-(3*x**2))+(5*x**3)))/((1+x)*(1-x)**3))] }
-
-
-
-def A216852():
- x = SR.var('x')
- return { 'ogf': [((9*((1-x-(3*x**2))+(5*x**3)))/((1+x)*(1-x)**3))] }
-
-
-
-def A216853():
- x = SR.var('x')
- return { 'ogf': [(-((((7-(19*x))+(11*x**2))-(17*x**3))/((1+x)*(1-x)**3)))] }
-
-
-
-def A216861():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((26*x**4)-(84*x**3))+(57*x**2))-(17*x))+2))/(((((((13*x**6)-(91*x**5))+(182*x**4))-(156*x**3))+(65*x**2))-(13*x))+1)))] }
-
-
-
-def A216865():
- x = SR.var('x')
- return { 'ogf': [((8*((1-x-(3*x**2))+(5*x**3)))/((1+x)*(1-x)**3))] }
-
-
-
-def A216871():
- x = SR.var('x')
- return { 'ogf': [(-((4*(((1-(3*x))+(3*x**2))-(5*x**3)))/((1+x)*(1-x)**3)))] }
-
-
-
-def A216875():
- x = SR.var('x')
- return { 'ogf': [((10*((1-x-(3*x**2))+(5*x**3)))/((1+x)*(1-x)**3))] }
-
-
-
-def A216876():
- x = SR.var('x')
- return { 'ogf': [(-((5*(((1-(3*x))+(3*x**2))-(5*x**3)))/((1+x)*(1-x)**3)))] }
-
-
-
-def A216949():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x))+(7*x**2))/(((1-(7*x))+(11*x**2))-x**3))] }
-
-
-
-def A216972():
- x = SR.var('x')
- return { 'ogf': [((((x+(2*x**2)+(3*x**3)+(4*x**4)+(3*x**5))-(2*x**6))+x**7)/((1-(2*x**4))+x**8))] }
-
-
-
-def A217052():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(8*x**2))/(1-(3*x)-(24*x**2)-x**3))] }
-
-
-
-def A217053():
- x = SR.var('x')
- return { 'ogf': [((2-x-x**2)/(1-(3*x)-(24*x**2)-x**3))] }
-
-
-
-def A217069():
- x = SR.var('x')
- return { 'ogf': [((x*(2+x))/(1-(3*x)-(24*x**2)-x**3))] }
-
-
-
-def A217094():
- x = SR.var('x')
- return { 'ogf': [((((189*x**2)-(38*x))+2)/((1-x)*(1-(9*x))*(1-(10*x))))] }
-
-
-
-def A217100():
- x = SR.var('x')
- return { 'ogf': [((x*((((((1+(2*x)+x**2+(2*x**3))-(6*x**4))+x**5+(14*x**6)+x**8+x**11)-x**12-x**13-(2*x**15))+(7*x**16))-(14*x**18)))/((1-(2*x**2))*(1-x**3)*(1+x**3)*(1+x**6)))] }
-
-
-
-def A217123():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**7-(2*x**6)-x**5)+(2*x**4))-x**3)+x)-2))/((x-1)**3*(x+1)*(x**2+1)))] }
-
-
-
-def A217193():
- x = SR.var('x')
- return { 'ogf': [((((((((4*x**8)-(23*x**7))+(53*x**6))-(60*x**5))+(32*x**4)+(49*x**3)+(77*x**2))-(18*x))+6)/(1-x)**7)] }
-
-
-
-def A217200():
- x = SR.var('x')
- return { 'ogf': [(((((x**5-(3*x**4))+(3*x**3)+(13*x**2))-(4*x))+2)/(1-x)**5)] }
-
-
-
-def A217233():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/((1+x)*((1-(4*x))+x**2)))] }
-
-
-
-def A217274():
- x = SR.var('x')
- return { 'ogf': [(x/(((1-(7*x))+(14*x**2))-(7*x**3)))] }
-
-
-
-def A217282():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-sqrt(((((1-x-(2*x**2)-(2*x**3))+x**4)-x**5)/(1-x))))/(2*x**3))] }
-
-
-
-def A217312():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x))/((2-x-(3*x**2))+(x*sqrt((1-(2*x)-(3*x**2))))))] }
-
-
-
-def A217331():
- x = SR.var('x')
- return { 'ogf': [((x*((38*x**7)+(1753*x**6)+(11244*x**5)+(19535*x**4)+(10810*x**3)+(1887*x**2)+(92*x)+1))/(x-1)**10)] }
-
-
-
-def A217333():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt(((((1-(4*x))+(4*x**2))-(4*x**3))+(4*x**4))))/(2*x**3))] }
-
-
-
-def A217336():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(22*x**2))+(2*x**3)+(9*x**4)+x**5)/(((1-(33*x**2))+(27*x**4))-(3*x**6)))] }
-
-
-
-def A217338():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**14+(8530*x**13)+(5244373*x**12)+(441307760*x**11)+(1.0231414811E10*x**10)+(8.7532894238E10*x**9)+(3.13403397135E11*x**8)+(4.84445834304E11*x**7)+(3.13403397135E11*x**6)+(8.7532894238E10*x**5)+(1.0231414811E10*x**4)+(441307760*x**3)+(5244373*x**2)+(8530*x)+1))/(x-1)**17))] }
-
-
-
-def A217366():
- x = SR.var('x')
- return { 'ogf': [((x*((7+(2*x)+(6*x**2))-x**3-(5*x**4)))/(1-x**2)**3)] }
-
-
-
-def A217367():
- x = SR.var('x')
- return { 'ogf': [((x*((((2+(3*x)+(6*x**4))-(6*x**5))+(4*x**6))-(3*x**7)))/(((1-x)+x**2)-x**3)**3)] }
-
-
-
-def A217441():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(6+x+(6*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A217444():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(5*x**2)+(12*x**3)+(3*x**4)+(2*x**5)+x**6))/(((1-(10*x**3))+(17*x**6))-x**9))] }
-
-
-
-def A217482():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**4*(x**4+(3*x**3)+(7*x**2)+(3*x)+1))/((x-1)**7*(x+1)**5)))] }
-
-
-
-def A217515():
- x = SR.var('x')
- return { 'ogf': [((x**2*(6+(4*x)+(3*x**2)))/(1-x**3))] }
-
-
-
-def A217516():
- x = SR.var('x')
- return { 'ogf': [((x**2*(7+(8*x)+(5*x**2)+(4*x**3)+(2*x**4)))/(1-x**4))] }
-
-
-
-def A217517():
- x = SR.var('x')
- return { 'ogf': [((x**2*(20+(20*x)+(10*x**2)+(6*x**3)+(5*x**4)))/(1-x**5))] }
-
-
-
-def A217518():
- x = SR.var('x')
- return { 'ogf': [((x**2*(13+(7*x)+(7*x**2)+(12*x**3)+(7*x**4)+(6*x**5)))/(1-x**6))] }
-
-
-
-def A217526():
- x = SR.var('x')
- return { 'ogf': [(((1-x-sqrt((1-(2*x)-(3*x**2))))/2)-(x**2/((1-x)*(1-x**2))))] }
-
-
-
-def A217527():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(((6*x**2)-(3*x))+1))/((2*x)-1)**3))] }
-
-
-
-def A217528():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((4*x**3)-(10*x**2))+(5*x))-1))/((x-1)*((2*x)-1)**3)))] }
-
-
-
-def A217529():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((44*x**2)-(52*x))+23))/((2*x)-1)**3))] }
-
-
-
-def A217530():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((11*x**3)-(25*x**2))+(8*x))-6))/(x-1)**5)] }
-
-
-
-def A217562():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x+x**2+x**3+x**4))/((1+x)*(1+x**2)*(x-1)**2))] }
-
-
-
-def A217571():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x))-x**2-x**3))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A217574():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**2*(x+1)*(x**4+(116*x**3)+(606*x**2)+(116*x)+1))/(x-1)**9))] }
-
-
-
-def A217585():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**3)-(2*x**2)-(3*x)-1))/(x-1)**2))] }
-
-
-
-def A217602():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((2*x**10)+(3*x**8))-(8*x**7)-(2*x**6)-(4*x**5))+(2*x**4))-(4*x**3)-(4*x**2)-1))/((x-1)**2*(x+1)*(x**2+1)**2*(x**4+1))))] }
-
-
-
-def A217631():
- x = SR.var('x')
- return { 'ogf': [(((2*x)+(4*x**2)+(4*x**3))/(1-x-(3*x**2)-(2*x**3)))] }
-
-
-
-def A217661():
- x = SR.var('x')
- return { 'ogf': [((1-x)/sqrt(((((1-(4*x))+(4*x**2))-(4*x**3))+(4*x**4))))] }
-
-
-
-def A217664():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/sqrt(((((1-(6*x))+(11*x**2))-(10*x**3))+(9*x**4))))] }
-
-
-
-def A217665():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/sqrt(((((1-(8*x))+(20*x**2))-(20*x**3))+(16*x**4)))),
-((1-(3*x))/sqrt(((1-(4*x))*(((1-(4*x))+(4*x**2))-(4*x**3)))))] }
-
-
-
-def A217666():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/sqrt(((((1-(10*x))+(31*x**2))-(34*x**3))+(25*x**4))))] }
-
-
-
-def A217694():
- x = SR.var('x')
- return { 'ogf': [((1+x**3)/((1-x-x**2-(2*x**4))+(2*x**5)+x**6+x**7+x**8))] }
-
-
-
-def A217711():
- x = SR.var('x')
- return { 'ogf': [(((1/2)*(((((32*x**4)-(88*x**3))+(52*x**2)+(sqrt(((-(4*x))+1))*((((36*x**3)-(34*x**2))+(10*x))-1)))-(12*x))+1))/((((64*x**4)-(48*x**3))+(12*x**2))-x))] }
-
-
-
-def A217730():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((1+x)-x**2))/((1-(4*x**2))+(2*x**4)))] }
-
-
-
-def A217733():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x-(3*x**2))+(2*x**3)+x**4))] }
-
-
-
-def A217758():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+x**2))/(((1-(35*x))+(35*x**2))-x**3))] }
-
-
-
-def A217775():
- x = SR.var('x')
- return { 'ogf': [((2*((13-(17*x))+(7*x**2)))/(1-x)**3)] }
-
-
-
-def A217776():
- x = SR.var('x')
- return { 'ogf': [((4*((17-(26*x))+(11*x**2)))/(1-x)**3)] }
-
-
-
-def A217777():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(2*x))*(1-x))/((1-(5*x**2))+(5*x**4)))] }
-
-
-
-def A217778():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))+(7*x**2))-(3*x**3))/((((1-(8*x))+(21*x**2))-(20*x**3))+(5*x**4)))] }
-
-
-
-def A217787():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-(4*x**3)-(3*x**4)-(2*x**5))/((1-(5*x**3))+x**6))] }
-
-
-
-def A217789():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(10*x))-x**2)+x**3))/(1-x))] }
-
-
-
-def A217855():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A217873():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x**2))/(x-1)**4)] }
-
-
-
-def A217893():
- x = SR.var('x')
- return { 'ogf': [(((((-17)+(47*x))-(33*x**2))+(53*x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A217894():
- x = SR.var('x')
- return { 'ogf': [(((((-23)+(63*x))-(27*x**2))+(37*x**3))/((1+x)*(1-x)**3))] }
-
-
-
-def A217947():
- x = SR.var('x')
- return { 'ogf': [((((11-(18*x))+(12*x**2))-(3*x**3))/(1-x)**5)] }
-
-
-
-def A217949():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3+x**2+2)*(x**6+(2*x**5)+x**4+(4*x**3)+(4*x**2)+2))/((((x**5+(3*x**2))-(2*x))+1)*((x**5+(2*x**4)+x**2+(2*x))-1))))] }
-
-
-
-def A217975():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x-1)*(x**2+(3*x)+1))/((x**2-(2*x)-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A217988():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(6*x**2))-(2*x**3)-(2*x**4))+(2*x**5))/((1-(2*x))**2*((1-(2*x))+(2*x**2))))] }
-
-
-
-def A218009():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(2*x))+(2*x**2))-(2*x**3))+(2*x**4)))/((1-(2*x))**2*((1-(2*x))+(2*x**2))))] }
-
-
-
-def A218034():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+x**2)-(12*x**3))/((1+x)*(1-(3*x))))] }
-
-
-
-def A218045():
- x = SR.var('x')
- return { 'ogf': [(((2+(2*sqrt((1-(8*x)))))-((1+sqrt((1-(8*x))))*sqrt((2+(2*sqrt((1-(8*x))))+(8*x)))))/8)] }
-
-
-
-def A218130():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**2*(9+(53*x)+(47*x**2)+(11*x**3)))/(x-1)**7))] }
-
-
-
-def A218131():
- x = SR.var('x')
- return { 'ogf': [(-((240*x**2*(x+1)*(x**4+(17*x**3)+(48*x**2)+(17*x)+1))/(x-1)**9))] }
-
-
-
-def A218132():
- x = SR.var('x')
- return { 'ogf': [((504*x**2*(x**6+(29*x**5)+(175*x**4)+(310*x**3)+(175*x**2)+(29*x)+1))/(x-1)**10)] }
-
-
-
-def A218133():
- x = SR.var('x')
- return { 'ogf': [(-((30*(x+1)*x**2*((35*x**6)+(1556*x**5)+(13619*x**4)+(30064*x**3)+(13609*x**2)+(1564*x)+33))/(x-1)**11))] }
-
-
-
-def A218134():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-(4*x)-(2*x**2)-(4*x**3))+x**4))] }
-
-
-
-def A218135():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x**2))/((1-x-(8*x**2)-(4*x**3))+(16*x**4)))] }
-
-
-
-def A218136():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x**2))/((1-(9*x)-(8*x**2)-(36*x**3))+(16*x**4)))] }
-
-
-
-def A218155():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((x**3+(4*x**2))-x)+2))/((x-1)**2*(x**2+1)))] }
-
-
-
-def A218184():
- x = SR.var('x')
- return { 'ogf': [(((((1-(8*x))**(1/2)-2)*((3-(4*x)-(2*(1-(8*x))**(1/2)))**(1/2)-3))/2)-1-(3*x))] }
-
-
-
-def A218185():
- x = SR.var('x')
- return { 'ogf': [((((-1)-sqrt((1-(8*x))))+(sqrt((1-(8*x)))*sqrt((1-(4*x))))+sqrt((1-(4*x)))+(4*x))/4)] }
-
-
-
-def A218321():
- x = SR.var('x')
- return { 'ogf': [(((sqrt((((x**4+(4*x**3)+(2*x**2))-(8*x))+1))+x**2+1)-sqrt((2*(((x**4+(2*x**3))-(6*x**2)-(4*x))+1+((x**2+1)*sqrt((((x**4+(4*x**3)+(2*x**2))-(8*x))+1)))))))/(4*x**2))] }
-
-
-
-def A218328():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(151*x)+(271*x**2)+(25*x**3)))/(1-x)**4)] }
-
-
-
-def A218329():
- x = SR.var('x')
- return { 'ogf': [((2*x*(5+(12*x)+(23*x**2)+(78*x**3)+(41*x**4)+(33*x**5)+(29*x**6)+(3*x**7)))/((1-x)**4*(1+x+x**2)**3))] }
-
-
-
-def A218332():
- x = SR.var('x')
- return { 'ogf': [(((((((((x**15-(3*x**13)-x**12-(7*x**11)-(9*x**10))+(6*x**9)+(3*x**8))-x**7)+(12*x**6))-(3*x**5)-(3*x**4))+x**3)-(3*x**2))+1)/((x-1)**4*(x+1)**4*(x**2+1)**4))] }
-
-
-
-def A218376():
- x = SR.var('x')
- return { 'ogf': [((x+(26*x**2)+(66*x**3)+(26*x**4)+x**5)/((1-(5*x))*(1-x)**6))] }
-
-
-
-def A218395():
- x = SR.var('x')
- return { 'ogf': [(((11+(77*x))-(77*x**2)-(11*x**3))/((1-(20*x**2))+x**4))] }
-
-
-
-def A218438():
- x = SR.var('x')
- return { 'ogf': [(1/(((1+x**2)-x**3)**2*(1-x-(2*x**2)-x**3)))] }
-
-
-
-def A218440():
- x = SR.var('x')
- return { 'ogf': [((((10-(5*x))+(14*x**2))-x**3)/((((1-(14*x))+(6*x**2))-(14*x**3))+x**4))] }
-
-
-
-def A218456():
- x = SR.var('x')
- return { 'ogf': [(((((20771*x**3)-(54537*x**2))+(47411*x))-13633)/(x-1)**4)] }
-
-
-
-def A218458():
- x = SR.var('x')
- return { 'ogf': [(((((-11927)+(38397*x))-(41327*x**2))+(14869*x**3))/(x-1)**4)] }
-
-
-
-def A218470():
- x = SR.var('x')
- return { 'ogf': [(x**9/((1-x)**2*(1-x**9)))] }
-
-
-
-def A218471():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(5*x)))/(1-x)**3)] }
-
-
-
-def A218489():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((((3*x**15)-(3*x**13))+x**12)-(13*x**11))+(9*x**10)+(6*x**9))-(3*x**8))+(5*x**7))-(12*x**6)-(3*x**5))+(3*x**4))-x**3)+(3*x**2))-1)/((x-1)**4*(x+1)**4*(x**2+1)**4)))] }
-
-
-
-def A218503():
- x = SR.var('x')
- return { 'ogf': [((1+(x*(109+(x*(8500+(x*(150700+(x*(792550+(x*(1454134+(x*(978436+(5*x*(45788+(x*(3053+(33*x))))))))))))))))))/(1-x)**11)] }
-
-
-
-def A218506():
- x = SR.var('x')
- return { 'ogf': [((((((x**14-x**13-x**12)+(2*x**9))-x**6-x**5)+x**4)-1)/((x-1)**5*(x+1)**3*(x**2+1)**2*(x**2+x+1)))] }
-
-
-
-def A218507():
- x = SR.var('x')
- return { 'ogf': [(((((((x**20-x**19-x**18)+x**15+x**14+x**13)-x**12-x**11-x**10)+x**7+x**6)-x**5)+1)/((x-1)**6*(x+1)**2*(x**2+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A218513():
- x = SR.var('x')
- return { 'ogf': [(-((240*x**3*((2007273*x**17)+(678113783*x**16)+(6.2897280675E10*x**15)+(2.149103163405E12*x**14)+(3.2571452423195E13*x**13)+(2.46267894384141E14*x**12)+(1.000326687571911E15*x**11)+(2.283861589692665E15*x**10)+(3.002531231655465E15*x**9)+(2.288662487004975E15*x**8)+(1.001857651156729E15*x**7)+(2.44960098705399E14*x**6)+(3.1779760521705E13*x**5)+(2.006465657455E12*x**4)+(5.3246253405E10*x**3)+(454442307*x**2)+(701482*x)+30))/(x-1)**21))] }
-
-
-
-def A218514():
- x = SR.var('x')
- return { 'ogf': [(-((240*x**4*((12547*x**8)+(131518*x**7)+(481078*x**6)+(743494*x**5)+(485740*x**4)+(128698*x**3)+(12442*x**2)+(322*x)+1))/(x-1)**13))] }
-
-
-
-def A218530():
- x = SR.var('x')
- return { 'ogf': [(x**11/((1-x)**2*(1-x**11)))] }
-
-
-
-def A218664():
- x = SR.var('x')
- return { 'ogf': [(-((((((((x**15-x**14-(2*x**13))+x**12)-(5*x**11))+(10*x**10)+(3*x**9))-(3*x**8)-(3*x**7)-(11*x**6))+(3*x**4)+x**3+(2*x**2))-x-1)/((x-1)**4*(x+1)**4*(x**2+1)**4)))] }
-
-
-
-def A218721():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(18*x))))] }
-
-
-
-def A218722():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(19*x))))] }
-
-
-
-def A218723():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(256*x))))] }
-
-
-
-def A218724():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(21*x))))] }
-
-
-
-def A218725():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(22*x))))] }
-
-
-
-def A218726():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(23*x))))] }
-
-
-
-def A218727():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(24*x))))] }
-
-
-
-def A218728():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(25*x))))] }
-
-
-
-def A218729():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(26*x))))] }
-
-
-
-def A218730():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(27*x))))] }
-
-
-
-def A218731():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(28*x))))] }
-
-
-
-def A218732():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(29*x))))] }
-
-
-
-def A218733():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(30*x))))] }
-
-
-
-def A218734():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(31*x))))] }
-
-
-
-def A218735():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((5*x**2)+(11*x)+5))/((x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A218736():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(33*x))))] }
-
-
-
-def A218737():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(34*x))))] }
-
-
-
-def A218738():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(35*x))))] }
-
-
-
-def A218739():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(36*x))))] }
-
-
-
-def A218740():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(37*x))))] }
-
-
-
-def A218741():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(38*x))))] }
-
-
-
-def A218742():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(39*x))))] }
-
-
-
-def A218743():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(40*x))))] }
-
-
-
-def A218744():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(41*x))))] }
-
-
-
-def A218745():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(42*x))))] }
-
-
-
-def A218746():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(43*x))))] }
-
-
-
-def A218747():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(44*x))))] }
-
-
-
-def A218748():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(45*x))))] }
-
-
-
-def A218749():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(46*x))))] }
-
-
-
-def A218750():
- x = SR.var('x')
- return { 'ogf': [(x/(((47*x**2)-(48*x))+1))] }
-
-
-
-def A218751():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(48*x))))] }
-
-
-
-def A218752():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(50*x))))] }
-
-
-
-def A218753():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(49*x))))] }
-
-
-
-def A218832():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**4-(4*x**3))+(6*x**2)+(8*x)+1))/((x-1)**5*(x+1))))] }
-
-
-
-def A218864():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)+x**2))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A218984():
- x = SR.var('x')
- return { 'ogf': [((4-(3*x)-(2*x**2))/((1-(5*x))+(2*x**2)+(2*x**3)))] }
-
-
-
-def A218985():
- x = SR.var('x')
- return { 'ogf': [((5-(2*x)-(2*x**2))/((1-(5*x))+(2*x**2)+(2*x**3)))] }
-
-
-
-def A218986():
- x = SR.var('x')
- return { 'ogf': [((4-(2*x)-(3*x**2))/((1-(5*x))+x**2+(3*x**3)))] }
-
-
-
-def A218987():
- x = SR.var('x')
- return { 'ogf': [((5-x-(3*x**2))/((1-(5*x))+x**2+(3*x**3)))] }
-
-
-
-def A218990():
- x = SR.var('x')
- return { 'ogf': [(((6+(4*x))-x**2)/((1-(5*x)-(5*x**2))+x**3))] }
-
-
-
-def A218991():
- x = SR.var('x')
- return { 'ogf': [((6-(6*x)-x**2)/((1-(7*x))+(5*x**2)+x**3))] }
-
-
-
-def A218992():
- x = SR.var('x')
- return { 'ogf': [((7-(5*x)-x**2)/((1-(7*x))+(5*x**2)+x**3))] }
-
-
-
-def A219020():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+x**2))/((1-x)*((1-(7*x))+x**2)*((1-(3*x))+x**2)))] }
-
-
-
-def A219054():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(5*x)+x**2))/(x-1)**4)] }
-
-
-
-def A219088():
- x = SR.var('x')
- return { 'ogf': [((x*(x**19+(3*x**18)+(68*x**17)+(106*x**16)+(121*x**15)+(122*x**14)+(120*x**13)+(118*x**12)+(120*x**11)+(123*x**10)+(116*x**9)+(123*x**8)+(120*x**7)+(118*x**6)+(120*x**5)+(122*x**4)+(120*x**3)+(110*x**2)+(62*x)+7))/((x-1)**6*(x+1)*(x**2+1)*(x**4+1)*(x**8+1)))] }
-
-
-
-def A219113():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(38*x))+1))/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A219190():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(2+x+(2*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219191():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(3+x+(3*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219205():
- x = SR.var('x')
- return { 'ogf': [((2*x)/(((3*x)-1)*((9*x)-1)))] }
-
-
-
-def A219222():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**16)+(28*x**15)+(20*x**14)+(33*x**13)+(40*x**12)+(26*x**11)+(32*x**10)+(32*x**9)+(37*x**8)+(32*x**7)+(25*x**6)+(20*x**5)+(13*x**4)+(10*x**3)+(8*x**2)+(5*x)+2))/((4*x**9)-1)))] }
-
-
-
-def A219257():
- x = SR.var('x')
- return { 'ogf': [((x**2*(9+(4*x)+(9*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219258():
- x = SR.var('x')
- return { 'ogf': [((x**2*(25+(4*x)+(25*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219259():
- x = SR.var('x')
- return { 'ogf': [((x**2*(23+(4*x)+(23*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219312():
- x = SR.var('x')
- return { 'ogf': [((sqrt(((5*x)-1))-sqrt((x-1)))/(2*(((x-1)*sqrt(((5*x)-1)))-(x*sqrt((x-1))))))] }
-
-
-
-def A219314():
- x = SR.var('x')
- return { 'ogf': [(((((1+(2*x))*sqrt((1-(2*x)-(3*x**2))))-1)+x+(2*x**2))/(2*(1+x)*(1-(2*x)-(4*x**2))))] }
-
-
-
-def A219355():
- x = SR.var('x')
- return { 'ogf': [((x*((((2*x**7)+(5*x**6)+(8*x**5)+(2*x**4))-(6*x**3))+(2*x)+1))/((x**3+x**2+x)-1)**2)] }
-
-
-
-def A219389():
- x = SR.var('x')
- return { 'ogf': [((x**2*(11+(4*x)+(11*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219390():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(3+x+(3*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219391():
- x = SR.var('x')
- return { 'ogf': [((x**2*(3+(5*x)+(11*x**2)+(4*x**3)+(11*x**4)+(5*x**5)+(3*x**6)))/((1+x)**2*(1-x)**3*(1+x**2)**2))] }
-
-
-
-def A219392():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(5+x+(5*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219393():
- x = SR.var('x')
- return { 'ogf': [((x**2*(21+(4*x)+(21*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219394():
- x = SR.var('x')
- return { 'ogf': [((x**2*(15+(4*x)+(15*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219395():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(4+x+(4*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219396():
- x = SR.var('x')
- return { 'ogf': [((x**2*(17+(4*x)+(17*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A219462():
- x = SR.var('x')
- return { 'ogf': [((5*x)/(((25*x**2)-(15*x))+1))] }
-
-
-
-def A219527():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+x+(4*x**2))-(2*x**3))+x**5)-x**4))/((1+x)**2*(x-1)**4))] }
-
-
-
-def A219531():
- x = SR.var('x')
- return { 'ogf': [(((((((((((1-(10*x))+(46*x**2))-(128*x**3))+(239*x**4))-(314*x**5))+(296*x**6))-(200*x**7))+(95*x**8))-(30*x**9))+(6*x**10))/(1-x)**12)] }
-
-
-
-def A219587():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x))/((1-(7*x))+(6*x**2)+(4*x**3)))] }
-
-
-
-def A219672():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt(((1-((3+sqrt(5))*x))+(((3-sqrt(5))/2)*x**2))))-(1/sqrt(((1-((3-sqrt(5))*x))+(((3+sqrt(5))/2)*x**2)))))/sqrt(5))] }
-
-
-
-def A219673():
- x = SR.var('x')
- return { 'ogf': [((1/sqrt(((1-((3+sqrt(5))*x))+(((3-sqrt(5))/2)*x**2))))+(1/sqrt(((1-((3-sqrt(5))*x))+(((3+sqrt(5))/2)*x**2)))))] }
-
-
-
-def A219676():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((1-(12*x))+(67*x**2))-(230*x**3))+(541*x**4))-(920*x**5))+(1163*x**6))-(1106*x**7))+(791*x**8))-(420*x**9))+(161*x**10))-(42*x**11))+(7*x**12))/(1-x)**14)] }
-
-
-
-def A219721():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(5*x**2)+(7*x**3)+x**4)/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A219751():
- x = SR.var('x')
- return { 'ogf': [((x**4*(2-(3*x)-x**2))/((1+x)*(1-(2*x))**2))] }
-
-
-
-def A219752():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*((1-(2*x))+x**4))/((1+x)*(1-(2*x))**2*(1-x-x**2)))] }
-
-
-
-def A219753():
- x = SR.var('x')
- return { 'ogf': [((x**4*((1-(2*x))+x**4))/((1+x)*(1-(2*x))**2*(1-x-x**2)))] }
-
-
-
-def A219754():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1-x-x**2))/((1+x)*(1-(2*x))*(1-x-(2*x**2))))] }
-
-
-
-def A219755():
- x = SR.var('x')
- return { 'ogf': [((x**4*(1-(3*x**2)-x**3))/((1+x)*(1-(2*x))*(1-x-(2*x**2))))] }
-
-
-
-def A219756():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((1-(7*x))+(17*x**2))-(18*x**3))+(11*x**4))-(5*x**5)))/((1-x)**2*(1-(3*x))**2*((1-(3*x))+x**2)**2))] }
-
-
-
-def A219757():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((2-(7*x))+(6*x**2)+x**3)-x**4))/((1-x)*(1-(2*x))**4*((1-(3*x))+x**2)))] }
-
-
-
-def A219758():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((2-(6*x))+(5*x**2)+(2*x**3))-(4*x**4)))/((1-x)**2*(1-(2*x))**5))] }
-
-
-
-def A219759():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((2-(12*x))+(24*x**2))-(8*x**3)-(41*x**4))+(57*x**5))-(16*x**6)))/((1-x)*((1-(3*x))+x**2)*(1-(2*x))**6))] }
-
-
-
-def A219788():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-2)+x))/((1-(2*x)-x**2)+x**3)))] }
-
-
-
-def A219837():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((2-(12*x))+(28*x**2))-(25*x**3)-(14*x**4))+(46*x**5))-(26*x**6))+x**7))/((1-x)**4*(1-(2*x))**6))] }
-
-
-
-def A219968():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)**2*(x**2+x+1)**2)/((((x**9+x**7)-x**6-(2*x**4))+(3*x**3)+x)-1)))] }
-
-
-
-def A219977():
- x = SR.var('x')
- return { 'ogf': [(1/(1+x+x**2+x**3))] }
-
-
-
-def A220018():
- x = SR.var('x')
- return { 'ogf': [((x*((((8*x**4)-(13*x**3)-(8*x**2))+x)-4))/(x-1)**3)] }
-
-
-
-def A220019():
- x = SR.var('x')
- return { 'ogf': [((x*((88*x**5)-(142*x**4)-(63*x**3)-(24*x**2)-(15*x)-4))/(x-1)**3)] }
-
-
-
-def A220020():
- x = SR.var('x')
- return { 'ogf': [((2*x*((8*x**4)-(13*x**3)-(7*x**2)-x-3))/(x-1)**3)] }
-
-
-
-def A220021():
- x = SR.var('x')
- return { 'ogf': [((x*((((5*x**3)-(14*x**2))+(3*x))-10))/(x-1)**3)] }
-
-
-
-def A220051():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((1-(13*x))+(79*x**2))-(297*x**3))+(771*x**4))-(1461*x**5))+(2083*x**6))-(2269*x**7))+(1897*x**8))-(1211*x**9))+(581*x**10))-(203*x**11))+(49*x**12))-(7*x**13))+x**14)/(1-x)**15)] }
-
-
-
-def A220082():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+(10*x**2)+(4*x**3)+x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A220083():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(4*x**2))/(1-x)**3)] }
-
-
-
-def A220084():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x)+(8*x**2))/(1-x)**4)] }
-
-
-
-def A220094():
- x = SR.var('x')
- return { 'ogf': [((45*x)/(((9*x)-1)*((90*x)-1)))] }
-
-
-
-def A220097():
- x = SR.var('x')
- return { 'ogf': [sqrt((2/(1+(2*x)+sqrt((1-(12*x))))))] }
-
-
-
-def A220101():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**2)-(7*x))+2+(3*x*sqrt((1-(4*x)))))-(2*sqrt((1-(4*x)))))/(2*x*sqrt((1-(4*x)))))] }
-
-
-
-def A220123():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(x+1)*(x**2+1))/((((x**8-x**6)+x**5)-(5*x**4)-x**2-x)+1)))] }
-
-
-
-def A220128():
- x = SR.var('x')
- return { 'ogf': [(((-(3*x**4))-(4*x**3)-(4*x**2)-(2*x)-1)/((x**4+x**3)-x-1))] }
-
-
-
-def A220129():
- x = SR.var('x')
- return { 'ogf': [(-(((10*x**6)+(11*x**5)+(16*x**4)+(9*x**3)+(7*x**2)+(2*x)+1)/((x**6+x**5+x**4)-x**2-x-1)))] }
-
-
-
-def A220185():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(5-x))/((1-x)*((1-(34*x))+x**2)))] }
-
-
-
-def A220186():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**2*(x+1))/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A220212():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(11*x)))/(1-x)**5)] }
-
-
-
-def A220221():
- x = SR.var('x')
- return { 'ogf': [((x*(((((12*x**8)-(2*x**7)-(10*x**6))+(4*x**5))-(2*x**4)-(2*x**3)-(2*x**2))+1))/((x-1)*((2*x)-1)))] }
-
-
-
-def A220236():
- x = SR.var('x')
- return { 'ogf': [((3*x*((4*x)-3))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A220360():
- x = SR.var('x')
- return { 'ogf': [(((6*x)-(3*x**2)-x**3)/((1-(3*x)-(6*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A220361():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+(4*x)+1))/((x**2-x-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A220363():
- x = SR.var('x')
- return { 'ogf': [(((x**2-(4*x))+1)/((x**2-x-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A220414():
- x = SR.var('x')
- return { 'ogf': [((13-(5*x))/((x**2-(6*x))+1))] }
-
-
-
-def A220425():
- x = SR.var('x')
- return { 'ogf': [(((x**3-(4*x**2))+1)/((x-1)**3*((2*x)-1)))] }
-
-
-
-def A220436():
- x = SR.var('x')
- return { 'ogf': [(-((4*((x**4-(4*x**3)-(11*x**2))+(4*x)+1))/((x-1)*((x**2-(7*x))+1)*(x**2+(3*x)+1))))] }
-
-
-
-def A220437():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((3-x-(5*x**2))+(13*x**3))-(11*x**4)-(2*x**5))+(2*x**6)))/((x-1)*((((x**4-(11*x**3))+(25*x**2))-(11*x))+1)*(x**4+(7*x**3)+(13*x**2)+(7*x)+1))))] }
-
-
-
-def A220442():
- x = SR.var('x')
- return { 'ogf': [(-((2*((15*x)-2)*(((45*x**2)-(15*x))+1))/(((3*x)-1)*((6*x)-1)*((9*x)-1)*((12*x)-1))))] }
-
-
-
-def A220443():
- x = SR.var('x')
- return { 'ogf': [((9*x*(x+1))/(x-1)**4)] }
-
-
-
-def A220467():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**7*(((((((((((((((97581*x**22)-(1758956*x**21))+(16320562*x**20))-(100734462*x**19))+(443795293*x**18))-(1471049082*x**17))+(3.971393292E9*x**16))-(9.304893422E9*x**15))+(1.7917931016E10*x**14))-(2.261241581E10*x**13))+(6.949925614E9*x**12)+(2.143041805E10*x**11)+(9.738010368E9*x**10))-(1.53051533038E11*x**9))+(2.56884162558E11*x**8))-(7.145164797E10*x**7)-(2.65785285277E11*x**6))+(2.20345759446E11*x**5)+(2.51887022384E11*x**4)+(6.3841610284E10*x**3)+(5.432696107E9*x**2)+(140661216*x)+800646))/(x-1)**21))] }
-
-
-
-def A220468():
- x = SR.var('x')
- return { 'ogf': [(-(((6*x**9)+(2*x**8)+(4*x**7)+(5*x**6)+(2*x**5)+(3*x**4)+(4*x**3)+(2*x**2)+(10*x)+1)/(x**10-1)))] }
-
-
-
-def A220509():
- x = SR.var('x')
- return { 'ogf': [((((1-(8*x**2))+(6*x**3))-(11*x**4))/((1-x)**4*(1-(3*x))))] }
-
-
-
-def A220511():
- x = SR.var('x')
- return { 'ogf': [((((((29*x**6)+(30*x**5)+(459*x**4))-(46*x**3))+(9*x**2))-1)/((x-1)**6*((5*x)-1)))] }
-
-
-
-def A220528():
- x = SR.var('x')
- return { 'ogf': [((((55*x**8)+(546*x**7)+(8966*x**6)+(14692*x**5)+(6726*x**4))-(694*x**3)-(50*x**2)-1)/((x-1)**8*((7*x)-1)))] }
-
-
-
-def A220589():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x)-x**2)+((x-1)*sqrt((1-(2*x)-(3*x**2)))))/(x+1))] }
-
-
-
-def A220639():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4-(3*x**3))+(6*x**2)+(5*x))-1)/((x-1)*((((3*x**5)-(7*x**4))+(9*x**3)+(29*x**2)+(7*x))-1))))] }
-
-
-
-def A220640():
- x = SR.var('x')
- return { 'ogf': [(-(((((((3*x**7)-x**6)+(14*x**5))-(58*x**4)-(70*x**3))+(42*x**2)+(15*x))-1)/(((((((15*x**9)-(2*x**8))+(48*x**7))-(245*x**6)-(460*x**5))+(340*x**4)+(325*x**3))-(114*x**2)-(20*x))+1)))] }
-
-
-
-def A220653():
- x = SR.var('x')
- return { 'ogf': [((((131*x**12)+(21186*x**11)+(1682460*x**10)+(24070936*x**9)+(104942001*x**8)+(163196604*x**7)+(91422264*x**6)+(14484216*x**5))-(518211*x**4)-(131726*x**3)-(1860*x**2)-1)/((x-1)**12*((11*x)-1)))] }
-
-
-
-def A220753():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x)+(5*x**2))-x**3)/((1-x)*(1+x)*(1-(2*x**2))))] }
-
-
-
-def A220755():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(27*x))-(9*x**2)-(3*x**3)))/((1-x)*((1-(10*x))+x**2)*(1+(10*x)+x**2)))] }
-
-
-
-def A220838():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**6-x**5)+x**4)-x**2)+(2*x))-1))/((1-x)**2*(1-x**8)))] }
-
-
-
-def A220839():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**7+x**6)-x**4)+x**3+(2*x**2)+x)-1))/((x-1)*(x**2+x+1)*((x**4-x**3-(2*x**2)-x)+1)*(x**6+x**3+1))))] }
-
-
-
-def A220864():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(((((25+(36*x))-(333*x**2)-(6*x**3))+(467*x**4))-(104*x**5)-(71*x**6))+(18*x**7)))/((1-x)*(1+x)*((1-(4*x))+x**2)*(1-(2*x)-x**2)*((1+(2*x))-x**2)))] }
-
-
-
-def A220874():
- x = SR.var('x')
- return { 'ogf': [(-(((((-(7*x))+(20*x**2))-(26*x**3))+(12*x**4)+(2*x**5)+1)/((x-1)*((2*x)-1)**4)))] }
-
-
-
-def A220885():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((x**5+(2*x**4))-x**3-x**2)+(3*x)+5))/((x-1)*((x**3+x**2)-1)))] }
-
-
-
-def A220888():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(2+x))/(((x**2+x)-1)*(x-1)**4)))] }
-
-
-
-def A220889():
- x = SR.var('x')
- return { 'ogf': [((x**5*(x+1)**2)/((x-1)**5*((x**2+x)-1)))] }
-
-
-
-def A220892():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(22*x**2)+(8*x**3)+x**4)/(1-x)**6)] }
-
-
-
-def A220910():
- x = SR.var('x')
- return { 'ogf': [(((1-(12*x))**(3/2)+(1+(36*x)))/(2*((4*x)+1)**2))] }
-
-
-
-def A220948():
- x = SR.var('x')
- return { 'ogf': [(((1-x)**2*(1-(3*x)))/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5))] }
-
-
-
-def A220978():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))**2/((1-x)*(1-(3*x))*(1-(9*x))))] }
-
-
-
-def A220979():
- x = SR.var('x')
- return { 'ogf': [(-(((4296875*x**4)+(2662500*x**3)+(464450*x**2)+(4260*x)+11)/((x-1)*((5*x)-1)*((25*x)-1)*((125*x)-1)*((625*x)-1))))] }
-
-
-
-def A220980():
- x = SR.var('x')
- return { 'ogf': [(-((((((27734375*x**4)-(22687500*x**3))+(2417450*x**2))-(36300*x))+71)/((x-1)*((5*x)-1)*((25*x)-1)*((125*x)-1)*((625*x)-1))))] }
-
-
-
-def A220981():
- x = SR.var('x')
- return { 'ogf': [(-(((21835008*x**4)+(24984288*x**3)+(1885788*x**2)+(19278*x)+13)/((x-1)*((6*x)-1)*((36*x)-1)*((216*x)-1)*((1296*x)-1))))] }
-
-
-
-def A220982():
- x = SR.var('x')
- return { 'ogf': [(-((((((162922752*x**4)-(124050528*x**3))+(9947772*x**2))-(95718*x))+97)/((x-1)*((6*x)-1)*((36*x)-1)*((216*x)-1)*((1296*x)-1))))] }
-
-
-
-def A220983():
- x = SR.var('x')
- return { 'ogf': [(-(((1.84010736563880736E17*x**6)+(2.68740854387875072E17*x**5)+(1.4564007567924592E16*x**4)+(7.3553506117028E13*x**3)+(1.23792021759E11*x**2)+(19415886*x)+113)/((x-1)*((7*x)-1)*((49*x)-1)*((343*x)-1)*((2401*x)-1)*((16807*x)-1)*((117649*x)-1))))] }
-
-
-
-def A220984():
- x = SR.var('x')
- return { 'ogf': [(-((((((((1.48348478769641907E18*x**6)-(1.08725921430621107E18*x**5))+(7.1725962948861584E16*x**4))-(5.62870083909028E14*x**3))+(6.09660625665E11*x**2))-(78551886*x))+911)/((x-1)*((7*x)-1)*((49*x)-1)*((343*x)-1)*((2401*x)-1)*((16807*x)-1)*((117649*x)-1))))] }
-
-
-
-def A220989():
- x = SR.var('x')
- return { 'ogf': [(-(((1008*x**2)+(558*x)+7)/((x-1)*((12*x)-1)*((144*x)-1))))] }
-
-
-
-def A220990():
- x = SR.var('x')
- return { 'ogf': [(-((((2736*x**2)-(1182*x))+19)/((x-1)*((12*x)-1)*((144*x)-1))))] }
-
-
-
-def A221002():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((((84672*x**4)-(205344*x**3))+(181436*x**2))-(69284*x))+10779))/((x-1)*((2*x)-1)**2*((4*x)-1)**2)))] }
-
-
-
-def A221004():
- x = SR.var('x')
- return { 'ogf': [((3*((((479-(4806*x))+(17408*x**2))-(25152*x**3))+(13952*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A221005():
- x = SR.var('x')
- return { 'ogf': [(((((((4797-(72343*x))+(450880*x**2))-(1412380*x**3))+(2406976*x**4))-(2246848*x**5))+(868864*x**6))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A221006():
- x = SR.var('x')
- return { 'ogf': [(-((54*((16*x**3)-(32*x**2)-(5*x)-24))/((x-1)*((2*x)-1)*((4*x)-1)**2)))] }
-
-
-
-def A221007():
- x = SR.var('x')
- return { 'ogf': [(-((3*(((1792*x**4)-(3824*x**3))+(5976*x**2)+(4421*x)+1490))/((x-1)*((2*x)-1)*((4*x)-1)**3)))] }
-
-
-
-def A221008():
- x = SR.var('x')
- return { 'ogf': [((18*(57+(454*x)+(212*x**2)))/((1-x)*(1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A221009():
- x = SR.var('x')
- return { 'ogf': [((3*(1131+(26092*x)+(52396*x**2)+(6160*x**3)))/((1-x)*(1-(2*x))*(1-(4*x))**3))] }
-
-
-
-def A221010():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*(((-14)-(234*x)-(165*x**2))+(8*x**3)))/(((2*x)-1)*(x-1)*((-1)+(4*x))**2)))] }
-
-
-
-def A221011():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((160*x**4)+(1564*x**3)+(5895*x**2)+(2183*x)+53))/((x-1)*((2*x)-1)*((4*x)-1)**3)))] }
-
-
-
-def A221012():
- x = SR.var('x')
- return { 'ogf': [((104*((12+(115*x))-(211*x**2)-(204*x**3)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A221013():
- x = SR.var('x')
- return { 'ogf': [((2*(((1861+(54917*x))-(94376*x**2)-(382948*x**3))+(635520*x**4)+(150336*x**5)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A221014():
- x = SR.var('x')
- return { 'ogf': [((18*x*((37+(122*x))-(412*x**2)-(80*x**3)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A221015():
- x = SR.var('x')
- return { 'ogf': [((3*x*(((644+(5491*x))-(23296*x**2))+(676*x**3)+(38816*x**4)+(6208*x**5)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A221016():
- x = SR.var('x')
- return { 'ogf': [((4*((((3107-(33952*x))+(133508*x**2))-(221152*x**3))+(141376*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A221017():
- x = SR.var('x')
- return { 'ogf': [((2*((((((23875-(385358*x))+(2563836*x**2))-(8881336*x**3))+(17320448*x**4))-(18447232*x**5))+(7997440*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A221042():
- x = SR.var('x')
- return { 'ogf': [((4*x*(2+(3*x)+(27*x**2)))/((1-x)*(1-(3*x))**2*(1-(9*x))**2))] }
-
-
-
-def A221043():
- x = SR.var('x')
- return { 'ogf': [((x*(((243*x**4)+(3807*x**3))-(369*x**2)-(87*x)-10))/((x-1)*((3*x)-1)**3*((9*x)-1)**3))] }
-
-
-
-def A221044():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+(22*x)+(9*x**2)))/((1-x)*(1-(3*x))*(1-(9*x))**2))] }
-
-
-
-def A221045():
- x = SR.var('x')
- return { 'ogf': [((2*x*(5+(241*x)+(495*x**2)+(27*x**3)))/((1-x)*(1-(3*x))*(1-(9*x))**3))] }
-
-
-
-def A221046():
- x = SR.var('x')
- return { 'ogf': [((4*x*((1+(21*x))-(54*x**2)))/((1-x)*(1-(3*x))**2*(1-(9*x))**2))] }
-
-
-
-def A221047():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((486*x**4)-(405*x**3)-(819*x**2))+(221*x)+5))/((x-1)*((3*x)-1)**3*((9*x)-1)**3)))] }
-
-
-
-def A221050():
- x = SR.var('x')
- return { 'ogf': [((14*((3+(33*x))-(10*x**2)-(8*x**3)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A221051():
- x = SR.var('x')
- return { 'ogf': [((((71+(2347*x)+(4376*x**2))-(17716*x**3)-(17696*x**4))+(2752*x**5))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A221052():
- x = SR.var('x')
- return { 'ogf': [((x*(((4544*x**4)+(144096*x**3)+(28316*x**2))-(46752*x)-2071))/((x-1)*((2*x)-1)**2*((4*x)-1)**2))] }
-
-
-
-def A221053():
- x = SR.var('x')
- return { 'ogf': [((4*x*((((1536*x**6)-(1645696*x**5)-(1592416*x**4))+(2192808*x**3))-(189320*x**2)-(147032*x)-2145))/((x-1)*((2*x)-1)**3*((4*x)-1)**3))] }
-
-
-
-def A221058():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x)-sqrt((1-(4*x**2)))))/((1-(2*x))*sqrt((1-(4*x**2))**3)))] }
-
-
-
-def A221130():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3-(8*x))+(2*x**2)))/(((4*x)-1)*(x-1)**2)))] }
-
-
-
-def A221172():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/((-1)+(2*x)+x**2))] }
-
-
-
-def A221193():
- x = SR.var('x')
- return { 'ogf': [(-((((x**8+x**7+(31*x**5))-(34*x**4))+(31*x**3)+x+1)/((x-1)*(x+1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)*(x**4+(6*x**2)+1))))] }
-
-
-
-def A221194():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**4-(2*x**3))+(12*x**2))-(2*x))+1)*(((x**4+(4*x**3))-(4*x**2))+(4*x)+1))/((x-1)*(x+1)*((x**4-(8*x**2))+1)*(x**4+(8*x**2)+1))))] }
-
-
-
-def A221195():
- x = SR.var('x')
- return { 'ogf': [(-((((x**8+(3*x**7)+(93*x**5))-(98*x**4))+(93*x**3)+(3*x)+1)/((x-1)*(x+1)*((x**4-(10*x**2))+1)*(x**4+(10*x**2)+1))))] }
-
-
-
-def A221212():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(((x**7-x**6-x**5)+x**4+x**3+x**2)-(2*x)-1))/((x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A221286():
- x = SR.var('x')
- return { 'ogf': [((1.06276436867E11-(7.1020044435E10*x))/(1-x-x**2))] }
-
-
-
-def A221364():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+x**3)-(3*x**2))+x+1)/((x-1)*(x+1)*(x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A221365():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+(3*x**3))-(5*x**2))+(3*x)+1)/((x-1)*(x+1)*((x**4-(5*x**2))+1))))] }
-
-
-
-def A221366():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+(5*x**3))-(7*x**2))+(5*x)+1)/((x-1)*(x+1)*((x**2-(3*x))+1)*(x**2+(3*x)+1))))] }
-
-
-
-def A221367():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+(7*x**3))-(9*x**2))+(7*x)+1)/((x-1)*(x+1)*((x**4-(9*x**2))+1))))] }
-
-
-
-def A221471():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((28*x**11)-(66*x**10)-(16*x**9)-(2*x**8)-(13*x**7)-(2*x**6)-(5*x**5)-(4*x**4)-(3*x**3)-(2*x**2)-x)+1))/((x**2-(3*x))+1))] }
-
-
-
-def A221567():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((5-(6*x))+(8*x**2)))/((((-1)+(3*x))-(2*x**2))+(4*x**4))))] }
-
-
-
-def A221569():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((17-(26*x))+(45*x**2)+(8*x**3)+x**4))/((((-1)+(5*x))-(3*x**2))+x**3+(15*x**4)+(3*x**5))))] }
-
-
-
-def A221570():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((13-(8*x))+(14*x**2)+(6*x**3)+(6*x**4)))/((-1)+(5*x)+(3*x**2)+(9*x**4)+(6*x**5)+(3*x**6))))] }
-
-
-
-def A221572():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((((25-(18*x))+(51*x**2)+(4*x**3)+(66*x**4))-(18*x**5))+(6*x**6)))/((((-1)+(7*x)+(4*x**2)+(5*x**3)+(20*x**4)+(20*x**5)+(23*x**6))-(6*x**7))+(3*x**8))))] }
-
-
-
-def A221639():
- x = SR.var('x')
- return { 'ogf': [(-((22*((1-(2926*x))+(754280*x**2)))/(((243*x)-1)*((3125*x)-1)*((1024*x)-1))))] }
-
-
-
-def A221720():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+(2*x**2)+x**3+(2*x**4)+(3*x**5)+(2*x**6)+(2*x**7)+x**8))/(1-x)**3)] }
-
-
-
-def A221762():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)+x**3))/((1-(20*x**2))+x**4))] }
-
-
-
-def A221763():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x))-(4*x**2)-x**3))/((1-(20*x**2))+x**4))] }
-
-
-
-def A221855():
- x = SR.var('x')
- return { 'ogf': [((2*x*((4*x**4)-(7*x**3)-(3*x**2)-2))/(x-1)**3)] }
-
-
-
-def A221859():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+x**2)*(1-(2*x)))/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5))] }
-
-
-
-def A221862():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+x**2)*(1-x))/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5))] }
-
-
-
-def A221863():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+x**2)/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5))] }
-
-
-
-def A221874():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(4*x)+x**2))/((1-(6*x)-x**2)*((1+(6*x))-x**2)))] }
-
-
-
-def A221875():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*(1+(8*x)+x**2))/((1-(6*x)-x**2)*((1+(6*x))-x**2)))] }
-
-
-
-def A221880():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(3*x))+(5*x**2))-(3*x**3)-(3*x**4))+x**5))/((1+x)*((1-(3*x))+(2*x**2))**2))] }
-
-
-
-def A221882():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(2*x))+(2*x**2))-(2*x**3)))/((1-(3*x))+(2*x**2))**2)] }
-
-
-
-def A221904():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(9*x)))+(1/(1-(10*x))))] }
-
-
-
-def A221905():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(8*x**2))/((1-x)**2*(1-(3*x))))] }
-
-
-
-def A221906():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))-(15*x**2))/((1-x)**2*(1-(4*x))))] }
-
-
-
-def A221907():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))-(24*x**2))/((1-x)**2*(1-(5*x))))] }
-
-
-
-def A221908():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))-(35*x**2))/((1-x)**2*(1-(6*x))))] }
-
-
-
-def A221909():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x))-(48*x**2))/((1-x)**2*(1-(7*x))))] }
-
-
-
-def A221910():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x))-(63*x**2))/((1-x)**2*(1-(8*x))))] }
-
-
-
-def A221911():
- x = SR.var('x')
- return { 'ogf': [(((1+(7*x))-(80*x**2))/((1-x)**2*(1-(9*x))))] }
-
-
-
-def A221912():
- x = SR.var('x')
- return { 'ogf': [(x**12/((1-x)**2*(1-x**12)))] }
-
-
-
-def A221920():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((6*x**17)+(3*x**16))-(3*x**14)-(6*x**13)-x**12-(12*x**11)-(15*x**10)-(6*x**9)-(33*x**8)-(30*x**7)-(9*x**6)-(24*x**5)-(21*x**4)-(2*x**3)-(15*x**2)-(12*x)-3))/((x-1)**2*(x**2+x+1)**2*(x**6+x**3+1)**2)))] }
-
-
-
-def A221921():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((-(12*x**31))-(4*x**30)-(4*x**29))+(4*x**27)+(4*x**26)+(12*x**25)+x**24+(20*x**23)+(12*x**22)+(28*x**21)+(8*x**20)+(36*x**19)+(20*x**18)+(44*x**17)+(6*x**16)+(76*x**15)+(36*x**14)+(68*x**13)+(16*x**12)+(60*x**11)+(28*x**10)+(52*x**9)+(3*x**8)+(44*x**7)+(20*x**6)+(36*x**5)+(8*x**4)+(28*x**3)+(12*x**2)+(20*x)+2))/((x**32-(2*x**16))+1))] }
-
-
-
-def A221948():
- x = SR.var('x')
- return { 'ogf': [((x*((((((1-(5*x))+(11*x**2))-(12*x**3))+(7*x**4))-(2*x**5))+x**6))/(1-x)**6)] }
-
-
-
-def A221949():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(2*x))+x**2+x**3+(2*x**4)))/((1-x)**2*(1-x-x**2-x**3)))] }
-
-
-
-def A221950():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x-x**2-(2*x**3)-(3*x**4)-(2*x**5)-x**6))] }
-
-
-
-def A221959():
- x = SR.var('x')
- return { 'ogf': [((2-(17*x))/((1-(4*x))*(1-(6*x))*(1-(8*x))*(1-(10*x))*(1-(16*x))))] }
-
-
-
-def A222170():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(3*x)+x**2))/((1+x+x**2)*(1-x)**3))] }
-
-
-
-def A222182():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5-(14*x))+(5*x**2)))/(1-x)**3))] }
-
-
-
-def A222256():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(2*x**3)+(4*x**4)))/((1-x)*(1+x+x**2))**2)] }
-
-
-
-def A222257():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2)+(2*x**3)+x**4+(3*x**5))/((1-x)*(1+x+x**2))**2)] }
-
-
-
-def A222258():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(3*x**4)+(2*x**5)+(5*x**6)))/((1-x)*(1+x)*(1+x**2))**2)] }
-
-
-
-def A222259():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(3*x**4)+(2*x**5)+x**6+(4*x**7)))/((1-x)*(1+x)*(1+x**2))**2)] }
-
-
-
-def A222260():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)+(4*x**5)+(3*x**6)+(2*x**7)+(6*x**8)))/((1-x)*(1+x+x**2+x**3+x**4))**2)] }
-
-
-
-def A222261():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(3*x**2)+(4*x**3)+(5*x**4)+(4*x**5)+(3*x**6)+(2*x**7)+x**8+(5*x**9)))/((1-x)*(1+x+x**2+x**3+x**4))**2)] }
-
-
-
-def A222308():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**4+(7*x**3)+(18*x**2)+(16*x)+6))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A222309():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**8+(17*x**7)+(126*x**6)+(354*x**5)+(591*x**4)+(507*x**3)+(262*x**2)+(58*x)+4))/((x-1)**7*(x+1)**4)))] }
-
-
-
-def A222390():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+(4*x)+x**2))/((1-x)*(1-(6*x)-x**2)*((1+(6*x))-x**2)))] }
-
-
-
-def A222393():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x)**2)/((1-x)*((1-(6*x))+x**2)*(1+(6*x)+x**2)))] }
-
-
-
-def A222408():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+(6*x**3)+(16*x**2)+(6*x)+1)/(x-1)**5))] }
-
-
-
-def A222409():
- x = SR.var('x')
- return { 'ogf': [((x*(((3+(3*x))-(2*x**2))+(3*x**3)+x**4))/((1-x)**2*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A222410():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(29*x**2)+(64*x**3)+(29*x**4)+(8*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A222657():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+x**3)/((1-x-x**3)+x**4))] }
-
-
-
-def A222715():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(1+(4*x)+(12*x**2)+(8*x**3)+(7*x**4)))/((1+x)**3*(1-x)**6))] }
-
-
-
-def A222716():
- x = SR.var('x')
- return { 'ogf': [((10*x**2*(1+(4*x)+x**2))/(1-x)**6)] }
-
-
-
-def A222740():
- x = SR.var('x')
- return { 'ogf': [(((((((-1)-(15*x)-(2*x**2))+(3*x**3))-(66*x**4))+(3*x**5))-(2*x**6)-(15*x**7)-x**8)/((x-1)**3*(x**2+1)**3))] }
-
-
-
-def A222812():
- x = SR.var('x')
- return { 'ogf': [((x**2*((26747100*x**9)+(25850210*x**8)+(11594958*x**7)+(3379095*x**6)+(722576*x**5)+(120194*x**4)+(15931*x**3)+(1710*x**2)+(149*x)+18))/(1-(10*x)))] }
-
-
-
-def A222964():
- x = SR.var('x')
- return { 'ogf': [((x**2*(13+(24*x)+(13*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A223173():
- x = SR.var('x')
- return { 'ogf': [(-((x*((6*x)-1))/(((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A223250():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((78*x**4)-(46*x**3)-(175*x**2))+(43*x)+8))/((((48*x**5)-(70*x**4)-(126*x**3))+(75*x**2)+(2*x))-1)))] }
-
-
-
-def A223577():
- x = SR.var('x')
- return { 'ogf': [((x*((x**17-x**16)+x**5+(2*x**4)+x**3+x**2+x+1))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A223578():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**17)-(2*x**16))+(2*x**5)+(4*x**4)+x**3+x**2+x+2))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A223659():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(2*x))+2)*((((x**4-(4*x**3))+(6*x**2))-(4*x))+2))/(x-1)**7))] }
-
-
-
-def A223718():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(3*x))+3)*((x**2-x)+1))/(x-1)**5))] }
-
-
-
-def A223731():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((((((((((x**77+(2*x**76))-(2*x**75))+x**74)-x**73-x**72)+(2*x**50))-x**49)+(2*x**47))-(2*x**46)-x**45)+x**34+(2*x**33))-(2*x**32))+x**31)-x**30-x**29)+(2*x**22))-x**21)+(2*x**19))-(2*x**18)-x**17)+(3*x**15))-(2*x**14))+x**13)-x**12-x**10)+(2*x**9)+(2*x**7)+(2*x**6))-(3*x**4)-(2*x**3)-(3*x**2)-(3*x)-3)*x)/(((-x**6)+x**5+x)-1))] }
-
-
-
-def A223735():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((((((((((2*x**61)-x**60)+(2*x**59))-x**58-(2*x**57))+x**43+(3*x**42))-(3*x**41))+x**40)-(2*x**39))+(2*x**32))-x**31)+(2*x**30))-x**29-(2*x**28))+x**23+(3*x**22))-(3*x**21))+x**20)-(2*x**19))+x**18+(2*x**16))-(3*x**14))+x**12+(3*x**11))-x**10)+x**6)-x**5)+x**4+(2*x**2)+x+1)*x)/((x**4-x**3-x)+1))] }
-
-
-
-def A223851():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((38*x**2)-(12*x))+1))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)))] }
-
-
-
-def A223852():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((810*x**3)-(361*x**2))+(56*x))-3))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A223906():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((144*x**2)-(102*x))+17))/(((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A223907():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((1440*x**3)-(1346*x**2))+(396*x))-37))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A223908():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((43200*x**4)-(48390*x**3))+(19239*x**2))-(3244*x))+197))/(((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A223925():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(4*x))-(3*x**2)-(8*x**3)-(4*x**4))+(4*x**5)))/((1-x)**2*(1+x)**2*(1-(2*x))*(1+(2*x))))] }
-
-
-
-def A223940():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*((1+(2*x))-x**3))/(((1-x-(4*x**2))+(3*x**3)+(3*x**4))-x**5))] }
-
-
-
-def A224071():
- x = SR.var('x')
- return { 'ogf': [(4/((3-(5*x))+sqrt(((1-(6*x))+x**2))))] }
-
-
-
-def A224251():
- x = SR.var('x')
- return { 'ogf': [(-((x*((15*x**4)-(5*x**3)-(5*x**2)-(5*x)-8))/((x-1)*((5*x**4)-1))))] }
-
-
-
-def A224288():
- x = SR.var('x')
- return { 'ogf': [(-((((((((2*x**5)+(6*x**4))-(6*x**3))+(6*x**2))-(4*x))+1)*x**4)/((2*x)-1)**5))] }
-
-
-
-def A224289():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((x**3-(10*x**2))+(8*x))-2))/((2*x)-1)**4))] }
-
-
-
-def A224290():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((4*x**8)-(8*x**7))+(24*x**6))-(36*x**5))+(62*x**4))-(60*x**3))+(30*x**2))-(8*x))+1)*x**5)/((2*x)-1)**7))] }
-
-
-
-def A224328():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-1)-(4*x))+(14*x**2)))/(((4*x)-1)**2*(x-1)**2)))] }
-
-
-
-def A224335():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((x**3-(5*x**2))+(7*x))-15))/(x-1)**4))] }
-
-
-
-def A224336():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*((x**4-(6*x**3))+(16*x**2)+(6*x)+31))/(x-1)**5))] }
-
-
-
-def A224337():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*(((x**5-(7*x**4))+(18*x**3))-(82*x**2)-(107*x)-63))/(x-1)**6))] }
-
-
-
-def A224338():
- x = SR.var('x')
- return { 'ogf': [(-((7*x*((x**6-(8*x**5))+(29*x**4)+(64*x**3)+(659*x**2)+(568*x)+127))/(x-1)**7))] }
-
-
-
-def A224384():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(1/(1-(17*x))))] }
-
-
-
-def A224415():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)**4*((1-(3*x))+x**2)**3))] }
-
-
-
-def A224419():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*(x**4+(23*x**3)+(168*x**2)+(23*x)+1))/((x**6-(1442*x**3))+1)/(1-x))] }
-
-
-
-def A224423():
- x = SR.var('x')
- return { 'ogf': [(((((24485-(197564*x))+(610948*x**2))-(794080*x**3))+(366912*x**4))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A224424():
- x = SR.var('x')
- return { 'ogf': [(-((((((((13735424*x**6)-(40286592*x**5))+(47779680*x**4))-(29472552*x**3))+(10001292*x**2))-(1824678*x))+147859)/((x-1)*((2*x)-1)**3*((4*x)-1)**3)))] }
-
-
-
-def A224425():
- x = SR.var('x')
- return { 'ogf': [((27*((392+(2039*x)+(716*x**2))-(24*x**3)))/((1-x)*(1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A224426():
- x = SR.var('x')
- return { 'ogf': [((6*(11426+(185109*x)+(295053*x**2)+(31342*x**3)+(600*x**4)))/((1-x)*(1-(2*x))*(1-(4*x))**3))] }
-
-
-
-def A224427():
- x = SR.var('x')
- return { 'ogf': [((343+(5194*x)+(4448*x**2)+(32*x**3))/((1-x)*(1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A224428():
- x = SR.var('x')
- return { 'ogf': [((8*(129+(4874*x)+(15616*x**2)+(4896*x**3)))/((1-x)*(1-(2*x))*(1-(4*x))**3))] }
-
-
-
-def A224429():
- x = SR.var('x')
- return { 'ogf': [((3*(((28+(5745*x)+(230*x**2))-(34880*x**3))+(20912*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A224430():
- x = SR.var('x')
- return { 'ogf': [((3*(((((53+(33809*x)+(54380*x**2))-(674784*x**3))+(1120160*x**4))-(847120*x**5))+(686912*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A224433():
- x = SR.var('x')
- return { 'ogf': [((6*((29+(3412*x)+(2540*x**2))-(22296*x**3)-(3008*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A224435():
- x = SR.var('x')
- return { 'ogf': [((24*(((52+(5002*x))-(4221*x**2)-(22060*x**3))+(9536*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A224436():
- x = SR.var('x')
- return { 'ogf': [((2*(((((1861+(531059*x))-(165878*x**2)-(7414660*x**3))+(13296352*x**4))-(4263232*x**5))+(3512832*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A224437():
- x = SR.var('x')
- return { 'ogf': [((2*((((365-(744*x))+(1724*x**2))-(2112*x**3))+(4160*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A224438():
- x = SR.var('x')
- return { 'ogf': [(((((2083+(9480*x))-(20496*x**2)-(59376*x**3))+(217776*x**4))-(422016*x**5))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A224452():
- x = SR.var('x')
- return { 'ogf': [((2*(((99+(36*x))-(84*x**2))+(736*x**3)+(1472*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A224453():
- x = SR.var('x')
- return { 'ogf': [((((((477+(5454*x))-(12140*x**2))+(14440*x**3)+(22624*x**4))-(202880*x**5))+(9728*x**6))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A224454():
- x = SR.var('x')
- return { 'ogf': [((9*x*(3+(8*x)+x**2))/(1-x)**4)] }
-
-
-
-def A224455():
- x = SR.var('x')
- return { 'ogf': [((6*x*(7+(31*x)+(16*x**2)))/(1-x)**5)] }
-
-
-
-def A224456():
- x = SR.var('x')
- return { 'ogf': [((9*(x**3*(((51-(92*x))+(63*x**2))-(16*x**3))))/(1-x)**4)] }
-
-
-
-def A224457():
- x = SR.var('x')
- return { 'ogf': [((3*(x**3*((((354-(850*x))+(845*x**2))-(403*x**3))+(78*x**4))))/(1-x)**5)] }
-
-
-
-def A224459():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((55-(87*x))+(57*x**2))-(16*x**3)))/(1-x)**4)] }
-
-
-
-def A224460():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((91-(192*x))+(184*x**2))-(99*x**3))+(25*x**4)))/(1-x)**5)] }
-
-
-
-def A224461():
- x = SR.var('x')
- return { 'ogf': [((x*((1636+(14609*x))-(3430*x**2)-(9800*x**3)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A224462():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((2575+(91016*x)+(183400*x**2))-(872548*x**3)-(267848*x**4))+(32480*x**5)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A224464():
- x = SR.var('x')
- return { 'ogf': [((((70159+(4207656*x)+(21980*x**2))-(51514000*x**3))+(55017216*x**4)+(32361728*x**5)+(54272*x**6))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A224465():
- x = SR.var('x')
- return { 'ogf': [((4*((((2085-(23998*x))+(99736*x**2))-(177552*x**3))+(120384*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A224466():
- x = SR.var('x')
- return { 'ogf': [((2*((((((13590-(234335*x))+(1659682*x**2))-(6179084*x**3))+(12903624*x**4))-(14317312*x**5))+(6302848*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A224482():
- x = SR.var('x')
- return { 'ogf': [((x*(((15*x**7)+(13*x**6)+(12*x**5)+(11*x**4)+(6*x**3)+(5*x**2)+(3*x))-2))/((3*x)-1))] }
-
-
-
-def A224509():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(2*x))*(1-(3*x)))/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5))] }
-
-
-
-def A224514():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-(3*x))*((1-(3*x))+x**2))/(((((1-(9*x))+(28*x**2))-(35*x**3))+(15*x**4))-x**5))] }
-
-
-
-def A224520():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1-(2*x))*(1+x**4)))] }
-
-
-
-def A224521():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x)*(1+x)*(1-(2*x))*((((1-x)+x**2)-x**3)+x**4)))] }
-
-
-
-def A224541():
- x = SR.var('x')
- return { 'ogf': [(-((6*((((12*x**3)-(40*x**2))+(45*x))-15)*x**6)/(((3*x)-1)*((2*x)-1)**2*(x-1)**3)))] }
-
-
-
-def A224542():
- x = SR.var('x')
- return { 'ogf': [((24*x**8*(((((((288*x**6)-(1560*x**5))+(3500*x**4))-(4130*x**3))+(2625*x**2))-(840*x))+105))/((x-1)**4*((2*x)-1)**3*((3*x)-1)**2*((4*x)-1)))] }
-
-
-
-def A224692():
- x = SR.var('x')
- return { 'ogf': [(((1+(5*x)+(7*x**2))-x**3)/((1-x)*(1+x)*(1-(2*x**2))))] }
-
-
-
-def A224747():
- x = SR.var('x')
- return { 'ogf': [(((2-(3*x)-(2*x**2))+(x*sqrt((1-(4*x**2)))))/(2*(1-x-(2*x**2)-x**3)))] }
-
-
-
-def A224749():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(3*x)-(6*x**2)-(6*x**3)-(6*x**4)-(6*x**5)))] }
-
-
-
-def A224783():
- x = SR.var('x')
- return { 'ogf': [((((4*x**5)-(9*x**3)-x**2)+(2*x)+1)/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)))] }
-
-
-
-def A224790():
- x = SR.var('x')
- return { 'ogf': [((8/(1-x))+(3/(1-(9*x))))] }
-
-
-
-def A224808():
- x = SR.var('x')
- return { 'ogf': [((1-x**5-x**8)/((((((1-x-x**5)+x**6)-x**7-(2*x**8))+x**9)-x**10)+x**13+x**16))] }
-
-
-
-def A224809():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(1+x+x**2))/(((x**3+x)-1)*(x**6-x**4-1))))] }
-
-
-
-def A224810():
- x = SR.var('x')
- return { 'ogf': [(((((1+x**3)-x**4-x**5)+x**6)-(2*x**7)-x**8-x**9-(2*x**10)-x**12-x**13-x**15)/((1-x)*(1+x+x**2)*(1-x-x**3)*(1+(3*x**3)+(7*x**6)+(9*x**9)+(7*x**12)+(3*x**15)+x**18)))] }
-
-
-
-def A224811():
- x = SR.var('x')
- return { 'ogf': [(((1-x**10-x**5-x**7)+x**15)/((1-x)*(1+x)*((x**2-x)+1)*((x**3+x**2)-1)*(x**6-x**2-1)*(x**12+x**10+x**8+(2*x**6)+x**4+1)))] }
-
-
-
-def A224812():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((((((((((((((((((x**23-x**22)+x**21)-x**20)+x**19)-x**13)+x**12)-(3*x**11))+(3*x**10))-(3*x**9))+(2*x**8))-(2*x**7))+x**6)-x**5)+x**4)-x**3)+x**2)-x)+1))/(((x**6+x)-1)*(((x**30+x**24)-(2*x**20)-(2*x**18)-x**14-(2*x**12))+x**10+x**8+x**6+1))))] }
-
-
-
-def A224813():
- x = SR.var('x')
- return { 'ogf': [(-(((((-1)+x**7+x**9+x**11+(2*x**14)+x**16)-(2*x**21)-(2*x**23)-x**28)+x**35)/(((x**7+x)-1)*(((x**42-x**36-(2*x**30)-(3*x**28))+(2*x**24)+(2*x**22)+x**18+(2*x**16)+(3*x**14))-x**12-x**10-x**8-1))))] }
-
-
-
-def A224814():
- x = SR.var('x')
- return { 'ogf': [(((((((((((1-x**4-x**5-x**7-x**8)+(2*x**9))-x**10-(3*x**12)-x**13-(2*x**15))+(3*x**16)+(3*x**17)+(2*x**18))-x**20-(4*x**21))+x**23+(3*x**24)+(3*x**25)+x**27)-(4*x**28)-x**29-(2*x**30))+x**31+(2*x**33)+x**34)-x**36-x**37)+x**40)/((1-x-x**4)*(1-x**9-x**12)*((((((((1+x**6+(4*x**9))-(4*x**12)-(2*x**15))+(4*x**18))-(3*x**21)-(3*x**24))+(7*x**27))-(6*x**30))+(3*x**33))-x**36)))] }
-
-
-
-def A224815():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((1-x**3)+x**4)-x**5-x**6-(3*x**7))+(3*x**8))-(2*x**9)-x**10-(5*x**11)-(3*x**12)-(2*x**13))+(3*x**15))-(3*x**16)-(3*x**18))+(3*x**19))-(3*x**20))+(3*x**21)+(3*x**23)+(6*x**24))-(3*x**25)-(2*x**26)-(4*x**27)-x**29-x**30-(2*x**31)-x**32)+x**33+x**35)-x**36)+x**37+x**39)/((1-x-x**3)*(1+x**4+x**6)*((1+x**4)-x**6)*(1-x**4-x**12)*(((1+x**4+(6*x**8))-(3*x**12))+(2*x**20)+x**24)))] }
-
-
-
-def A224881():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(16*x))**(1/8))] }
-
-
-
-def A224882():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(32*x))**(1/16))] }
-
-
-
-def A224992():
- x = SR.var('x')
- return { 'ogf': [((((1-(17*x))+(66*x**2))-(36*x**3))/((1-(2*x))*(1-(6*x))*(1-(12*x))))] }
-
-
-
-def A224993():
- x = SR.var('x')
- return { 'ogf': [(((((1-(36*x))+(380*x**2))-(1200*x**3))+(576*x**4))/((1-(2*x))*(1-(6*x))*(1-(12*x))*(1-(20*x))))] }
-
-
-
-def A225011():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((x**4-(5*x**3))+(10*x**2))-(10*x))+5)*((((x**4-(3*x**3))+(4*x**2))-(2*x))+1))/(x-1)**9))] }
-
-
-
-def A225012():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(3*x))+3)*((x**2-(2*x))+2)*((x**2-x)+1)*((((x**4-(4*x**3))+(5*x**2))-(2*x))+1))/(x-1)**11))] }
-
-
-
-def A225018():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(27*x)+(88*x**2)+(93*x**3)+(64*x**4)+(12*x**5)+x**6))/((1-x)**4*(1+x)**3))] }
-
-
-
-def A225029():
- x = SR.var('x')
- return { 'ogf': [((((1-(10*x))+(22*x**2))-x**3)/((((1-(14*x))+(59*x**2))-(74*x**3))+x**4))] }
-
-
-
-def A225031():
- x = SR.var('x')
- return { 'ogf': [((((((1-(35*x))+(433*x**2))-(2233*x**3))+(4035*x**4))-x**5)/((((((1-(41*x))+(638*x**2))-(4701*x**3))+(16398*x**4))-(21721*x**5))+x**6))] }
-
-
-
-def A225032():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(56*x))+(1203*x**2))-(12364*x**3))+(60675*x**4))-(113540*x**5))+x**6)/(((((((1-(63*x))+(1589*x**2))-(20515*x**3))+(142915*x**4))-(509549*x**5))+(727767*x**6))-x**7))] }
-
-
-
-def A225034():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x**2))/(((3*x**2)-(4*x))+1+sqrt(((1-x**2)**2-(4*(x-x**2)*(1-x**2))))))] }
-
-
-
-def A225058():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+x**2+(3*x**3)+(3*x**5)+x**6+x**7+(2*x**4))/(((-1)+x)**2*(1+x)**2*(x**2+1)**2))] }
-
-
-
-def A225107():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((4*x)-1))/(((2*x)-1)*((10*x)-1))))] }
-
-
-
-def A225126():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**3-(4*x)-1))/((x-1)**2*(x+1)**2)))] }
-
-
-
-def A225144():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(11*x)+(9*x**2)+(9*x**3)))/(1-x**2)**3)] }
-
-
-
-def A225209():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(220*x)+(1568*x**2)+(512*x**3)))/((x-1)*((4*x)-1)*((8*x)-1)*((16*x)-1)))] }
-
-
-
-def A225231():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((((3*x**6)-(7*x**5))+(3*x**4)+(4*x**3))-(11*x**2))+(11*x))-9))/((x-1)**3*(x**2+1)))] }
-
-
-
-def A225232():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(x**2-(2*x)-1))/((x-1)**3*(x+1)**3))] }
-
-
-
-def A225367():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)-(2*x)-3))/((3*x**2)-1))] }
-
-
-
-def A225374():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(111*x)))] }
-
-
-
-def A225539():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(11*x)+(2*x**2)))/((1-x)**2*(1+x)))] }
-
-
-
-def A225551():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((x**8-x**7)+x**5)-x**4-(2*x**3))+x**2+(3*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A225553():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((x**9-x**8)+x**4)-x-1))/((x-1)**2*(x+1))))] }
-
-
-
-def A225785():
- x = SR.var('x')
- return { 'ogf': [((12*x*(1+(6*x)+x**2))/((1-x)*((1-(18*x))+x**2)*(1+(18*x)+x**2)))] }
-
-
-
-def A225786():
- x = SR.var('x')
- return { 'ogf': [((48*x*(1+x))/((1-x)*((1-(322*x))+x**2)))] }
-
-
-
-def A225810():
- x = SR.var('x')
- return { 'ogf': [(-((3*(((470*x**2)-(175*x))+2))/((x-1)*((10*x)-1)*((100*x)-1))))] }
-
-
-
-def A225813():
- x = SR.var('x')
- return { 'ogf': [(-((9*(((190*x**2)-(92*x))+1))/((x-1)*((10*x)-1)*((100*x)-1))))] }
-
-
-
-def A225826():
- x = SR.var('x')
- return { 'ogf': [((1-x-(9*x**2))/((1-(2*x))*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A225827():
- x = SR.var('x')
- return { 'ogf': [(((1-(6*x)-(24*x**2))+(120*x**3))/((1-(4*x))*(1-(8*x))*(1-(8*x**2))))] }
-
-
-
-def A225828():
- x = SR.var('x')
- return { 'ogf': [((1-(6*x)-(100*x**2))/((1-(4*x))*(1+(4*x))*(1-(16*x))))] }
-
-
-
-def A225829():
- x = SR.var('x')
- return { 'ogf': [(((1-(20*x)-(288*x**2))+(2880*x**3))/((1-(8*x))*(1-(32*x))*(1-(32*x**2))))] }
-
-
-
-def A225830():
- x = SR.var('x')
- return { 'ogf': [((1-(28*x)-(1296*x**2))/((1-(8*x))*(1+(8*x))*(1-(64*x))))] }
-
-
-
-def A225831():
- x = SR.var('x')
- return { 'ogf': [(((1-(72*x)-(4224*x**2))+(78336*x**3))/((1-(16*x))*(1-(128*x))*(1-(128*x**2))))] }
-
-
-
-def A225832():
- x = SR.var('x')
- return { 'ogf': [((1-(120*x)-(18496*x**2))/((1-(16*x))*(1+(16*x))*(1-(256*x))))] }
-
-
-
-def A225833():
- x = SR.var('x')
- return { 'ogf': [(((1-(272*x)-(66048*x**2))+(2297856*x**3))/((1-(32*x))*(1-(512*x))*(1-(512*x**2))))] }
-
-
-
-def A225834():
- x = SR.var('x')
- return { 'ogf': [((1-(496*x)-(278784*x**2))/((1-(32*x))*(1+(32*x))*(1-(1024*x))))] }
-
-
-
-def A225839():
- x = SR.var('x')
- return { 'ogf': [((378*x*(1+(46*x)+x**2))/((1-x)*((1-(322*x))+x**2)*(1+(322*x)+x**2)))] }
-
-
-
-def A225875():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**3+x**5))/((1-x)**2*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A225879():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*((4*x**2)+(2*x)+1))/(((2*x**6)+(7*x**3))-1))] }
-
-
-
-def A225883():
- x = SR.var('x')
- return { 'ogf': [(x/((1+x)*(1+(2*x))))] }
-
-
-
-def A225887():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(5*x)+sqrt(((1-(6*x))+x**2)))/(2*(x-(6*x**2))))] }
-
-
-
-def A225928():
- x = SR.var('x')
- return { 'ogf': [((17/(1-x))+(8/(1-(4*x)))+(4/(1-(16*x))))] }
-
-
-
-def A225948():
- x = SR.var('x')
- return { 'ogf': [(-((((1+(15*x)+(3*x**2)+(7*x**3))-(9*x**5)-(5*x**6)-(33*x**7)-(6*x**8)-(110*x**9)-(30*x**10)-(126*x**11)-(2*x**12)-(126*x**13)-(30*x**14)-(110*x**15)-(3*x**16)-(33*x**17)-(5*x**18)-(9*x**19))+(7*x**21)+(3*x**22)+(15*x**23))/(1-x**8)**3))] }
-
-
-
-def A225972():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(4*x)+x**2+(2*x**3)))/((1+x)**2*(1-x)**4))] }
-
-
-
-def A225975():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+(6*x**2)+x**3+(10*x**4)+(6*x**5)+(14*x**6)+(4*x**7)+(14*x**8)+(6*x**9)+(10*x**10)+x**11+(6*x**12)+(2*x**13)+(2*x**14)))/((1-x)**2*(1+x)**2*(1+x**2)**2*(1+x**4)**2))] }
-
-
-
-def A225984():
- x = SR.var('x')
- return { 'ogf': [((((-(2*x**3))+(3*x**2))-(4*x)-5)/(((x**5-x**3)+x**2)-x-1))] }
-
-
-
-def A226008():
- x = SR.var('x')
- return { 'ogf': [((x*(4+(4*x)+(36*x**2)+x**3+(100*x**4)+(36*x**5)+(196*x**6)+(16*x**7)+(312*x**8)+(88*x**9)+(376*x**10)+(6*x**11)+(376*x**12)+(88*x**13)+(312*x**14)+(16*x**15)+(196*x**16)+(36*x**17)+(100*x**18)+x**19+(36*x**20)+(4*x**21)+(4*x**22)))/(1-x**8)**3)] }
-
-
-
-def A226023():
- x = SR.var('x')
- return { 'ogf': [((x*((2+x+(3*x**2)+(2*x**3)+x**4)-x**5))/((1-x)**3*(1+x+x**2)**2))] }
-
-
-
-def A226044():
- x = SR.var('x')
- return { 'ogf': [((1+(64*x)+(16*x**2)+(64*x**3)+(4*x**4)+(64*x**5)+(16*x**6)+(64*x**7))/((1-x)*(1+x)*(1+x**2)*(1+x**4)))] }
-
-
-
-def A226076():
- x = SR.var('x')
- return { 'ogf': [(-((x*((33*x**8)+(112*x**7)+(80*x**6)+(28*x**5)+(20*x**4)+(12*x**3)+(9*x**2)+(4*x)+1))/((4*x**3)-1)))] }
-
-
-
-def A226088():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((x**2-x)+1)**2*(x**2+x+1))/((x-1)**3*(x+1)*(x**2+1))))] }
-
-
-
-def A226096():
- x = SR.var('x')
- return { 'ogf': [((x**9+(3*x**8)+(5*x**6)+(7*x**5)+(7*x**4)+(5*x**3)+(3*x)+1)/((1-x)*(1-x**5)**2))] }
-
-
-
-def A226097():
- x = SR.var('x')
- return { 'ogf': [(((1447-(2*x*((37+(1552*x))-(41*x**2))))+(41*x**2)**2)/((1+x)**2*(1-x)**3))] }
-
-
-
-def A226122():
- x = SR.var('x')
- return { 'ogf': [(((1+x)**3*((1-x)+x**2))/((1-x)**2*(1+x+x**2)**2))] }
-
-
-
-def A226136():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**2+1)**2)/((x**3+x)-1)))] }
-
-
-
-def A226141():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+(3*x)+(7*x**2)+(3*x**3)+x**4))/((1+x)**3*(x-1)**4))] }
-
-
-
-def A226199():
- x = SR.var('x')
- return { 'ogf': [((1-x-(6*x**2))/((1-(7*x))*(1-x)**2))] }
-
-
-
-def A226200():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+(5*x**2))/(((6*x)-1)*(x-1)**2))] }
-
-
-
-def A226201():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+(7*x**2))/(((8*x)-1)*(x-1)**2))] }
-
-
-
-def A226202():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+(8*x**2))/(((9*x)-1)*(x-1)**2))] }
-
-
-
-def A226203():
- x = SR.var('x')
- return { 'ogf': [(((1-(4*x))+(2*x**2)+(2*x**3)+x**5)/((1-x)**2*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A226205():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2)/((1+x)*((1-(3*x))+x**2)))] }
-
-
-
-def A226271():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**3)+(2*x**2))-(2*x)-1))/((x-1)*((x**2+x)-1))))] }
-
-
-
-def A226276():
- x = SR.var('x')
- return { 'ogf': [((4*(2+x+x**2+x**3))/((1-x)*(1+x)*(1+x**2)))] }
-
-
-
-def A226279():
- x = SR.var('x')
- return { 'ogf': [((x*((((3*x**3)-x**2)+x)-1))/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A226292():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((1+x)*(1-x)**3))] }
-
-
-
-def A226294():
- x = SR.var('x')
- return { 'ogf': [(((-6)-(4*x))/((x-1)*(1+x)))] }
-
-
-
-def A226308():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**2)-x)+2)/(((2*x)-1)*(x**2+x+1))))] }
-
-
-
-def A226309():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**3)+(2*x**2))-x)+2)/((x+1)*((2*x)-1)*(x**2+1))))] }
-
-
-
-def A226310():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)+x**2)-1))/(((2*x)-1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A226311():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**4)+(2*x**3)+(2*x**2))-x)+2)/(((2*x)-1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A226315():
- x = SR.var('x')
- return { 'ogf': [((x**3*(5-(8*x)))/((1-x)*(1-(2*x))**3))] }
-
-
-
-def A226316():
- x = SR.var('x')
- return { 'ogf': [((1/2)+(1/(1+sqrt(((1-(8*x))+(8*x**2))))))] }
-
-
-
-def A226322():
- x = SR.var('x')
- return { 'ogf': [(((x**6+(2*x**2))-1)/((((-(2*x**12))-(4*x**10)-(2*x**9)-(3*x**8)-x**6)+(4*x**4)+(6*x**3)+(5*x**2))-1))] }
-
-
-
-def A226328():
- x = SR.var('x')
- return { 'ogf': [(((((2*x**4)+(3*x**2))-(3*x))+1)/((x-1)*((x**2+x)-1)*(1+x+x**2)))] }
-
-
-
-def A226348():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(10*x))-(24*x**3))+(5*x**4)+(6*x**5)))/((1-x)*((1-x-(16*x**2)-(15*x**3))+(11*x**4)+(6*x**5))))] }
-
-
-
-def A226351():
- x = SR.var('x')
- return { 'ogf': [(((1-x-(5*x**2))+x**3+(2*x**4))/(((1-(4*x)-(19*x**2)-x**3)+(26*x**4))-x**5-(6*x**6)))] }
-
-
-
-def A226369():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**5-(2*x**6)))] }
-
-
-
-def A226370():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**2-x**3-(2*x**4)-x**6))] }
-
-
-
-def A226371():
- x = SR.var('x')
- return { 'ogf': [(((((-x**12)-x**9)+(2*x**6)+x**3)-1)/(((((x**19-x**18-x**16-x**15-(2*x**13)-(7*x**12))+x**10)-(8*x**9))+x**7+(9*x**6)+x**3)-1))] }
-
-
-
-def A226372():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(x+1)*((x**3+x)-1)*(x**3+x+1)*((((((((((x**11-x**10)+x**9)-x**8)+x**7)-(2*x**6)-x**5)+x**4)-x**3)+x**2)-x)+1))/(((((((((((((((((((((((x**27-x**26)+(5*x**25))-(5*x**24))+(9*x**23))-(8*x**22))+(3*x**21))-(5*x**20)-(18*x**19))+(12*x**18))-(29*x**17))+(29*x**16))-(17*x**15))+(32*x**14)+(16*x**13))-(13*x**12))+(25*x**11))-(28*x**10))+(15*x**9))-(18*x**8)-(4*x**7))+(5*x**6))-(5*x**5))+(5*x**4))-(2*x**3))+(2*x**2)+x)-1)))] }
-
-
-
-def A226379():
- x = SR.var('x')
- return { 'ogf': [((x*((((15-(12*x)-(5*x**2)-x**3-(3*x**4)-(17*x**5))+(12*x**6)+(3*x**7))-x**8)+x**9))/((x**4+x**3+x**2+x+1)**2*(x-1)**3))] }
-
-
-
-def A226405():
- x = SR.var('x')
- return { 'ogf': [(x/((1-x-x**3)*(1-x)**3))] }
-
-
-
-def A226430():
- x = SR.var('x')
- return { 'ogf': [((((x-(2*x**2)-(5*x**3))+(12*x**4)+x**5)-(8*x**6)-(3*x**7))/((1-(2*x))*(1-x-x**2)**2))] }
-
-
-
-def A226431():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1-(7*x))+(19*x**2))-(22*x**3))+(9*x**4))-x**5))/((1-x)*(1-(2*x))*((1-(3*x))+x**2)**2))] }
-
-
-
-def A226432():
- x = SR.var('x')
- return { 'ogf': [(x+(2*x**2)+((x**4*(1-x)*(2+x))/(1-x-x**2)**2))] }
-
-
-
-def A226433():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(5*x))+(10*x**2))-(8*x**3))+x**5))/((1-x)**2*(1-(2*x))*((1-(3*x))+x**2)))] }
-
-
-
-def A226434():
- x = SR.var('x')
- return { 'ogf': [(-((((((8*x**5)-(16*x**4))+(19*x**3))-(8*x**2)-(sqrt(((-(4*x))+1))*((((2*x**4)+x**3)-(4*x**2))+x)))+x)/(((((12*x**4)-(31*x**3))+(27*x**2)+(sqrt(((-(4*x))+1))*(((((4*x**4)-(13*x**3))+(15*x**2))-(7*x))+1)))-(9*x))+1)))] }
-
-
-
-def A226447():
- x = SR.var('x')
- return { 'ogf': [((((-1)+x)-x**3)/((x**2-x-1)*((1-x)+x**2)))] }
-
-
-
-def A226449():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x)+(9*x**2)))/(1-x)**4)] }
-
-
-
-def A226450():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x)+(11*x**2)))/(1-x)**4)] }
-
-
-
-def A226451():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+(13*x**2)))/(1-x)**4)] }
-
-
-
-def A226488():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(11*x)))/(1-x)**3)] }
-
-
-
-def A226489():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(13*x)))/(1-x)**3)] }
-
-
-
-def A226490():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(17*x)))/(1-x)**3)] }
-
-
-
-def A226491():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(19*x)))/(1-x)**3)] }
-
-
-
-def A226492():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(8*x)))/(1-x)**3)] }
-
-
-
-def A226493():
- x = SR.var('x')
- return { 'ogf': [((12*x**2)/((1+x)*(1-(3*x))))] }
-
-
-
-def A226500():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1+x))/((1-x)*((1-(98*x))+x**2)))] }
-
-
-
-def A226503():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2))/(1-x**3-x**5))] }
-
-
-
-def A226508():
- x = SR.var('x')
- return { 'ogf': [((3*(1-x))/((1-(12*x))+(27*x**2)))] }
-
-
-
-def A226511():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(5*x))*(1-(3*x))))] }
-
-
-
-def A226514():
- x = SR.var('x')
- return { 'ogf': [(((13-(8*x))+x**2)/(1-x)**4)] }
-
-
-
-def A226516():
- x = SR.var('x')
- return { 'ogf': [((x**6*((1-x**2)+x**5+x**6))/(1-x**2-x**10))] }
-
-
-
-def A226517():
- x = SR.var('x')
- return { 'ogf': [((x**6*((1-x**2)+x**4+x**5))/(1-x**2-x**8))] }
-
-
-
-def A226538():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**3)/((1-x)*(1+x)*(1-x**2-x**4)))] }
-
-
-
-def A226546():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(6*x)+3)*x)/((x**3+(2*x**2)+x)-1)**2)] }
-
-
-
-def A226547():
- x = SR.var('x')
- return { 'ogf': [(((((x**5+(6*x**4))-(8*x**3)-(10*x**2))+(9*x)+4)*x)/((x+1)**2*((x**4-(3*x))+1)**2))] }
-
-
-
-def A226548():
- x = SR.var('x')
- return { 'ogf': [(((((x**10+(12*x**9)+(28*x**8)+(54*x**7)+(33*x**6)+(18*x**5))-(53*x**4)-(42*x**3))+(6*x**2)+(30*x)+5)*x)/(((x**8+(3*x**7)+(2*x**6)+(5*x**5)+x**4)-(6*x**3)-(7*x**2)-(2*x))+1)**2)] }
-
-
-
-def A226549():
- x = SR.var('x')
- return { 'ogf': [((((((((((4*x**23)+(60*x**22)+(203*x**21)+(308*x**20))-(35*x**19)-(660*x**18)-(964*x**17)-(612*x**16))+(239*x**15)+(344*x**14)+(683*x**13)+(686*x**12)+(1156*x**11)+(1944*x**10))-(341*x**9)-(2280*x**8)-(1775*x**7))+(588*x**6)+(1550*x**5)+(70*x**4))-(498*x**3)-(48*x**2))+(60*x)+6)*x)/((((((2*x**15)+(7*x**14)+(12*x**13)+(6*x**12))-(18*x**11)-(13*x**10)-(8*x**9)-(27*x**8)-(32*x**7))+x**6+(40*x**5)+(34*x**4))-(3*x**3)-(15*x**2)-(3*x))+1)**2)] }
-
-
-
-def A226550():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((36*x**42)+(492*x**41)+(97*x**40))-(1280*x**39))+(1374*x**38)+(3986*x**37))-(3294*x**36)-(12844*x**35)-(17178*x**34)-(5612*x**33)-(8231*x**32)-(68874*x**31)-(38198*x**30))+(87106*x**29)+(79120*x**28)+(342382*x**27)+(1028045*x**26)+(1129834*x**25)+(797531*x**24)+(933000*x**23)+(781401*x**22))-(15364*x**21)-(688028*x**20)-(1167490*x**19)-(1199056*x**18)-(495108*x**17))+(175219*x**16)+(637592*x**15)+(810642*x**14)+(590608*x**13)+(255600*x**12))-(62792*x**11)-(226422*x**10)-(130944*x**9)-(26229*x**8))+(21996*x**7)+(25573*x**6)+(5782*x**5))-(3711*x**4)-(1682*x**3))+(174*x**2)+(138*x)+7)*x)/(((((((((6*x**25)+(11*x**24))-(9*x**23)-(10*x**22))+(39*x**21)+(12*x**20))-(70*x**19)-(281*x**18)-(403*x**17)-(110*x**16)-(118*x**15)-(790*x**14)-(179*x**13))+(466*x**12)+(327*x**11)+(669*x**10)+(1028*x**9)+(231*x**8))-(45*x**7)-(284*x**6)-(273*x**5)-(61*x**4))+(45*x**3)+(31*x**2)+(3*x))-1)**2)] }
-
-
-
-def A226576():
- x = SR.var('x')
- return { 'ogf': [(((3*x)-(2*x**3))/((1-x-x**3)+x**4))] }
-
-
-
-def A226577():
- x = SR.var('x')
- return { 'ogf': [(((((-(3*x**4))+(2*x**3))-(2*x**2))+(4*x))/((x**5-x**4-x)+1))] }
-
-
-
-def A226578():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**6-x**5-(4*x**4))+x**3)-x)+5))/((x**6-x**5-x)+1))] }
-
-
-
-def A226579():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**5)-(6*x**3)-(4*x**2))+(3*x)+6))/((x**5-x**3-x**2)+1))] }
-
-
-
-def A226580():
- x = SR.var('x')
- return { 'ogf': [((x*((x**8-x**7-(4*x**6)-(2*x))+7))/((x**8-x**7-x)+1))] }
-
-
-
-def A226581():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((2*x**9)-(2*x**8)-(6*x**7))+(3*x**6))-x**5)+(3*x**4))-(3*x**3))+x**2)-(4*x))+8))/((x**9-x**8-x)+1))] }
-
-
-
-def A226582():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((4*x**10)-(4*x**9)-(6*x**8))+x**7+(3*x**6))-(3*x**5))+(3*x**3))-(3*x**2)-(3*x))+9))/((x**10-x**9-x)+1))] }
-
-
-
-def A226583():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**8+(5*x**7))-x**6-(10*x**5)-(4*x**4)-x**3-(4*x**2))+(5*x)+10))/((x**7-x**5-x**2)+1))] }
-
-
-
-def A226638():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(4*x)+1))/((x**4-(2*x**3)-(7*x**2)-(2*x))+1))] }
-
-
-
-def A226639():
- x = SR.var('x')
- return { 'ogf': [(-((((6*x**2)-(4*x))+1)/(x*(x-1)**5)))] }
-
-
-
-def A226649():
- x = SR.var('x')
- return { 'ogf': [(-((x*(2+x**2+(2*x**3)+(2*x)))/((1+x)*((x**4+x**2)-1))))] }
-
-
-
-def A226725():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-(4*x)-1))/((x-1)**3*(x+1)**3))] }
-
-
-
-def A226737():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+(10*x**2))/(((11*x)-1)*(x-1)**2))] }
-
-
-
-def A226741():
- x = SR.var('x')
- return { 'ogf': [((((75-(67*x))+(17*x**2))-x**3)/(1-x)**5)] }
-
-
-
-def A226782():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**6-(4*x**2)-1))/((x-1)**2*(1+x)**2*(x**2+1)**2)))] }
-
-
-
-def A226783():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**9-x**6-x**5-(5*x**4)-x**2-(2*x)-1))/((x-1)**2*(x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A226784():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(x**8-(6*x**2)-1))/((x**12-(2*x**6))+1)))] }
-
-
-
-def A226785():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**13-x**10-(2*x**9)-x**8-(2*x**7)-(7*x**6)-x**4-(3*x**3)-(3*x**2)-x-1))/((x**14-(2*x**7))+1)))] }
-
-
-
-def A226786():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**14-x**10-(3*x**8)-(8*x**6)-x**4-(2*x**2)-2))/((x**16-(2*x**8))+1)))] }
-
-
-
-def A226787():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**17-x**14-(3*x**12)-x**11-(3*x**9)-(9*x**8)-x**6-(4*x**5)-(4*x**3)-x**2-1))/((x**18-(2*x**9))+1)))] }
-
-
-
-def A226800():
- x = SR.var('x')
- return { 'ogf': [(((((541-(634*x))+(246*x**2))-(34*x**3))+x**4)/(1-x)**6)] }
-
-
-
-def A226801():
- x = SR.var('x')
- return { 'ogf': [((((((4683-(6793*x))+(3562*x**2))-(798*x**3))+(67*x**4))-x**5)/(1-x)**7)] }
-
-
-
-def A226804():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))*(1-(9*x))*(1-(27*x))*(1-(81*x))))] }
-
-
-
-def A226857():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**10+x**9+x**8+(2*x**7)+(3*x**6)+(3*x**5)+(3*x**4)+(3*x**3)+(3*x**2)+(2*x)+1))/((x**6+x**3)-1)))] }
-
-
-
-def A226881():
- x = SR.var('x')
- return { 'ogf': [((((3*x)-1)/(2*(x-1)*((2*x)-1)))+(1/(2*sqrt(((1+(2*x))*(1-(2*x)))))))] }
-
-
-
-def A226892():
- x = SR.var('x')
- return { 'ogf': [((((((17*x**5)-(29*x**4)-(73*x**3))+(65*x**2)+(47*x))-29)*x)/(((((-x**6)+(2*x**5)+(4*x**4))-(6*x**3)-(2*x**2))+(4*x))-1))] }
-
-
-
-def A226903():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(13*x)+(20*x**2)+(10*x**3)+(5*x**4)+x**5))/((1+x)**3*(1-x)**4))] }
-
-
-
-def A226916():
- x = SR.var('x')
- return { 'ogf': [((x**4*((1-x**2)+x**3+x**4))/(1-x**2-x**6))] }
-
-
-
-def A226917():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((5*x**3)-(5*x**2))+1))/(((2*x)-1)**2*((2*x**2)-1))))] }
-
-
-
-def A226940():
- x = SR.var('x')
- return { 'ogf': [((x*(((((1+(3*x)+(6*x**2))-(2*x**3))+(4*x**4)+(4*x**5)+(2*x**6))-(6*x**7))+(3*x**8)+x**9))/((1-x)**3*(1+x)**3*(1+x**2)**3))] }
-
-
-
-def A226956():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(1+x**2))/(((x**2+x)-1)*((x**2-x)+1)))] }
-
-
-
-def A226958():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(3*x)-x**2))/((1-(3*x)-(6*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A226976():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x))-(5*x**2)-(2*x**3))/((1-(3*x)-(6*x**2))+(3*x**3)+x**4))] }
-
-
-
-def A226994():
- x = SR.var('x')
- return { 'ogf': [((1/(2-(2*x)))+(1/(2*sqrt(((1-(6*x))+x**2)))))] }
-
-
-
-def A226995():
- x = SR.var('x')
- return { 'ogf': [((x/((x-1)**2*sqrt(((x**2-(6*x))+1))))-(1/(x-1)))] }
-
-
-
-def A226996():
- x = SR.var('x')
- return { 'ogf': [(((sqrt(((x**2-(6*x))+1))/(4*(x-1)**2))+(1/(4*sqrt(((x**2-(6*x))+1)))))-(1/(2*(x-1))))] }
-
-
-
-def A227017():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x-(2*x**2)-(3*x**3))+x**4)/(((-1)+x)**3*(1+x)))] }
-
-
-
-def A227026():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((3-(16*x)-(8*x**2)-(3*x**3)-x**4-(20*x**5)-(13*x**6))+(40*x**7))-(230*x**8))+(289*x**9))-(2276*x**10))+(1771*x**11)+(607*x**12))-(145*x**13)))/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A227081():
- x = SR.var('x')
- return { 'ogf': [(1/(((6*x)-1)+(2*sqrt((((2*x)-1)*((6*x)-1))))))] }
-
-
-
-def A227104():
- x = SR.var('x')
- return { 'ogf': [(-((1-(3*x)-(3*x**2)-(2*x**3))/((1-x-x**2)*(1+x+x**2))))] }
-
-
-
-def A227144():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(x**4+(5*x**3)+(5*x**2)+1))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A227146():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*((5*x**4)+x**2+x+5))/((x**4+x**3+x**2+x+1)*(x-1)**2))] }
-
-
-
-def A227161():
- x = SR.var('x')
- return { 'ogf': [(-(((1-x)+x**2)**2/(x-1)**5))] }
-
-
-
-def A227168():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x+(36*x**2)+(4*x**3)+(22*x**4)+(6*x**5)+(88*x**6)+(4*x**7)+(9*x**8)+x**9+(4*x**10)))/((x-1)**3*(1+x)**3*(x**2+1)**3)))] }
-
-
-
-def A227200():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(3*x)))/((1-(2*x))*(1-x-x**2)))] }
-
-
-
-def A227316():
- x = SR.var('x')
- return { 'ogf': [((x*((2-(3*x))+(9*x**2)+(3*x**5)+x**6))/((1-x)**3*(1+x**2)**3))] }
-
-
-
-def A227327():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**3-x**2)+x+1))/((x-1)**5*(x+1)**2)))] }
-
-
-
-def A227347():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+(4*x**2)+(3*x**3))/(((-1)+x)**4*(1+(2*x)+(2*x**2)+x**3)))] }
-
-
-
-def A227353():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**2+x**3))/((1-x)**3*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A227356():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((x**2-x)+1))/((x-1)*((x**2+x)-1)*((x**4+x**2)-1))))] }
-
-
-
-def A227375():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+x)-1)*((x**5+x**4+x**3)-x-1))/((x-1)*(x**4+x**3+x**2+x+1)*(((x**7+x**6+x**5)-x**3-x**2-x)+1))))] }
-
-
-
-def A227376():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x-x**2-x**3)+x**5+x**6+x**7))] }
-
-
-
-def A227392():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**9)+(3*x**8)+(3*x**7))-(4*x**6)-(2*x**4)-(3*x**3)-(2*x**2)-(2*x)-1))/((x-1)*(x+1)*(x**2+1))**3)] }
-
-
-
-def A227417():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x)+(3*x**2))-(7*x**3)))/(((-1)+x)**2*(1+x+x**2)))] }
-
-
-
-def A227430():
- x = SR.var('x')
- return { 'ogf': [(-((((x**5-(3*x**4))+(3*x**3))-x**2)/((1-(2*x))*((1-x)+x**2)*((1-(3*x))+(3*x**2)))))] }
-
-
-
-def A227482():
- x = SR.var('x')
- return { 'ogf': [((27*(172+(1849*x)+(1102*x**2)))/((1-x)*(1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A227483():
- x = SR.var('x')
- return { 'ogf': [((3*(7843+(252978*x)+(651387*x**2)+(134852*x**3)))/((1-x)*(1-(2*x))*(1-(4*x))**3))] }
-
-
-
-def A227484():
- x = SR.var('x')
- return { 'ogf': [((2*((213+(52522*x)+(66470*x**2))-(419644*x**3)-(33200*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227485():
- x = SR.var('x')
- return { 'ogf': [((((1165+(772926*x)+(4259002*x**2))-(23338464*x**3))+(8025448*x**4)+(35155008*x**5)+(2325120*x**6))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A227486():
- x = SR.var('x')
- return { 'ogf': [((2*((((2649-(14510*x))+(36008*x**2))-(37248*x**3))+(15360*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227487():
- x = SR.var('x')
- return { 'ogf': [(((((((34255-(252180*x))+(1033772*x**2))-(2480544*x**3))+(3259584*x**4))-(2547712*x**5))+(790528*x**6))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A227488():
- x = SR.var('x')
- return { 'ogf': [((4*x*((548+(11847*x))-(8782*x**2)-(33888*x**3)-(352*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227489():
- x = SR.var('x')
- return { 'ogf': [((x*((((9801+(614326*x)+(522036*x**2))-(8367736*x**3))+(6785696*x**4)+(5562240*x**5))-(9728*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A227490():
- x = SR.var('x')
- return { 'ogf': [((9*x*(74+(3111*x)+(5760*x**2)+(424*x**3)))/((1-x)*(1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A227492():
- x = SR.var('x')
- return { 'ogf': [((9*((3+(280*x)+(452*x**2))-(1056*x**3)-(192*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227493():
- x = SR.var('x')
- return { 'ogf': [((6*((((7+(2309*x)+(17332*x**2))-(42748*x**3)-(39056*x**4))+(36032*x**5))-(768*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A227494():
- x = SR.var('x')
- return { 'ogf': [((3*(479+(78*x)+(5624*x**2)+(576*x**3)+(8192*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227495():
- x = SR.var('x')
- return { 'ogf': [((3*(((1599+(14665*x)+(140000*x**2))-(65180*x**3)-(605152*x**4)-(886208*x**5))+(137216*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A227506():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+x**2)-sqrt(((1-(6*x))+x**2)))+(x*sqrt((1+(6*x)+x**2))))/(8*x))] }
-
-
-
-def A227524():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(3*x))*(1-(9*x))*(1-(27*x))))] }
-
-
-
-def A227541():
- x = SR.var('x')
- return { 'ogf': [((x*(3+(7*x)+(3*x**2)))/((1-x)**3*(1+x)))] }
-
-
-
-def A227542():
- x = SR.var('x')
- return { 'ogf': [(x**2+((x**4*(((2+x)-(2*x**2))+x**3))/((1+x)*(1+x**2)*(x-1)**2)))] }
-
-
-
-def A227582():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*((2+x+x**2+x**3+(2*x**4))-x**5))/((1-x)**3*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A227665():
- x = SR.var('x')
- return { 'ogf': [((x-1)/(((2*x**2)+(7*x))-1))] }
-
-
-
-def A227666():
- x = SR.var('x')
- return { 'ogf': [(((((20*x**3)-(25*x**2))+(16*x))-1)/((((220*x**3)-(89*x**2))+(40*x))-1))] }
-
-
-
-def A227667():
- x = SR.var('x')
- return { 'ogf': [(((((((((173568*x**8)-(3773248*x**7))+(10330944*x**6))-(719888*x**5))+(1468896*x**4))-(35208*x**3)-(3608*x**2))+(170*x))-1)/(((((((((-(98304*x**9))+(4024832*x**8))-(36900032*x**7))+(37771968*x**6))-(3950640*x**5))+(5084576*x**4))-(23648*x**3)-(9016*x**2))+(290*x))-1))] }
-
-
-
-def A227699():
- x = SR.var('x')
- return { 'ogf': [(((((34081-(309300*x))+(1048900*x**2))-(1488480*x**3))+(794944*x**4))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227701():
- x = SR.var('x')
- return { 'ogf': [((3*x*((((16093-(176880*x))+(694732*x**2))-(1140192*x**3))+(673216*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227702():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((((224954-(3726067*x))+(25124080*x**2))-(87769804*x**3))+(167355376*x**4))-(165722176*x**5))+(66777344*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A227703():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(((26-(29*x))+(20*x**2))-(5*x**3)))/(1-x)**4)] }
-
-
-
-def A227704():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((82-(137*x))+(147*x**2))-(75*x**3))+(15*x**4)))/(1-x)**5)] }
-
-
-
-def A227705():
- x = SR.var('x')
- return { 'ogf': [((18*(11+(4*x))*(1+(8*x)))/((1-x)*(1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A227706():
- x = SR.var('x')
- return { 'ogf': [((9*(53+(1040*x)+(1808*x**2)+(384*x**3)))/((1-x)*(1-(2*x))*(1-(4*x))**3))] }
-
-
-
-def A227707():
- x = SR.var('x')
- return { 'ogf': [((6*((2-(7*x))+(8*x**2)))/((1-(2*x))*(1-(4*x))**2))] }
-
-
-
-def A227708():
- x = SR.var('x')
- return { 'ogf': [((6*((((14-(123*x))+(408*x**2))-(560*x**3))+(288*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227709():
- x = SR.var('x')
- return { 'ogf': [((3*((((((53-(705*x))+(4100*x**2))-(12636*x**3))+(21456*x**4))-(19328*x**5))+(7168*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A227710():
- x = SR.var('x')
- return { 'ogf': [((36*x*((((1310-(3099*x))+(3006*x**2))-(4520*x**3))+(2304*x**4)))/((1-x)*(1-(2*x))**2*(1-(4*x))**2))] }
-
-
-
-def A227711():
- x = SR.var('x')
- return { 'ogf': [((3*x*((((134643-(183720*x)-(400012*x**2)-(612832*x**3))+(2889984*x**4))-(2158592*x**5))+(762880*x**6)))/((1-x)*(1-(2*x))**3*(1-(4*x))**3))] }
-
-
-
-def A227712():
- x = SR.var('x')
- return { 'ogf': [(((4-(6*x))+(5*x**2))/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A227713():
- x = SR.var('x')
- return { 'ogf': [(((((((((((1-(15*x))+(128*x**2))-(602*x**3))+(1801*x**4))-(3968*x**5))+(6016*x**6))-(5528*x**7))+(3120*x**8))-(1344*x**9))+(256*x**10))/((1-x)**4*(1-(2*x))**4*(1-(4*x))**3))] }
-
-
-
-def A227714():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((1-(25*x))+(364*x**2))-(2888*x**3))+(16604*x**4))-(77320*x**5))+(259299*x**6))-(567034*x**7))+(849760*x**8))-(1145072*x**9))+(1576816*x**10))-(1535840*x**11))+(730496*x**12))-(160768*x**13))+(83968*x**14))-(8192*x**15))/((1-x)**5*(1-(2*x))**6*(1-(4*x))**5))] }
-
-
-
-def A227728():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((4*x**9)-(4*x**8))+(3*x**7))-(4*x**6))+(3*x**5))-(4*x**4))+(3*x**3))-(4*x**2))+(7*x))-10))/((x-1)*(((2*x**9)+(2*x**7)+(2*x**5)+(2*x**3)+(4*x))-1))))] }
-
-
-
-def A227786():
- x = SR.var('x')
- return { 'ogf': [((x*(((-x**3)-x**2)+(5*x)+1))/((1-x)**3*(1+x)))] }
-
-
-
-def A227792():
- x = SR.var('x')
- return { 'ogf': [(((1+(6*x)+(17*x**2))-x**3-(3*x**4))/(((1+(2*x))-x**2)*(1-(2*x)-x**2)))] }
-
-
-
-def A227805():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(4*x)+(2*x**2)))/((1-x)*(1+x)**2))] }
-
-
-
-def A227832():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+(5*x)+1))/((1-x)*(1+x)**2))] }
-
-
-
-def A227849():
- x = SR.var('x')
- return { 'ogf': [(((x**8-(2*x**7)-(2*x**6)-(2*x**3)-(2*x**2))+x)/(((((x**9-(2*x**8))+x**7)-x**2)+(2*x))-1)),
-(-((x*(1+x)*((((((1-(3*x))+x**2)-x**3)+x**4)-(3*x**5))+x**6))/((1-x)**2*(1-x**7))))] }
-
-
-
-def A227860():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((3*x**7)+(2*x**4)+(3*x**3)+x**2+(2*x)+1))/((x-1)*(x+1)*(x**2+1)*(x**4+1))))] }
-
-
-
-def A227863():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(48*x)+(71*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A227906():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**5-x**3-(4*x)-2))/((x-1)**2*(x+1)**2)))] }
-
-
-
-def A227959():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(4*x**2)-(2*x**3)-(2*x**4)-(4*x**5)))] }
-
-
-
-def A227970():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(1+(4*x)+(14*x**2)+(4*x**3)+x**4))/((1+x)**3*(x-1)**5)))] }
-
-
-
-def A227972():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((2*x**11)-x**10-x**9)+x**8)-(4*x**7))+(3*x**6))-(2*x**5)-x**4-x**3-x**2-1))/((x**6-(2*x**3)-1)*((x**6+(2*x**3))-1))))] }
-
-
-
-def A227978():
- x = SR.var('x')
- return { 'ogf': [(((((1-(4*x))+(5*x**2))-x**3-(2*x**4))+(2*x**5))/((1-x)**2*(1-(2*x))**2))] }
-
-
-
-def A228012():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((x**9-(2*x**7)-x**6)+x**5+x**4)-(3*x)-1))/((x-1)**3*(x+1)**2*(x**2+1)))] }
-
-
-
-def A228078():
- x = SR.var('x')
- return { 'ogf': [((x**2*((3*x)-2))/((x-1)*((2*x)-1)*((x**2+x)-1)))] }
-
-
-
-def A228081():
- x = SR.var('x')
- return { 'ogf': [((2-(65*x))/((1-x)*(1-(64*x))))] }
-
-
-
-def A228105():
- x = SR.var('x')
- return { 'ogf': [((432*x*(1+x)*(1+(246*x**2)+(56*(x+x**3))+x**4))/(1-x)**7)] }
-
-
-
-def A228124():
- x = SR.var('x')
- return { 'ogf': [((x*(x**5+(4*x**4)+(22*x**3)+(13*x**2)+(13*x)+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A228137():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**2)+(3*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A228138():
- x = SR.var('x')
- return { 'ogf': [((x*((((3*x**5)-(3*x**4)-(12*x**3))+x**2)-(9*x)-4))/((x-1)**3*(x+1)**2))] }
-
-
-
-def A228141():
- x = SR.var('x')
- return { 'ogf': [((x*((15*x**2)+(4*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A228142():
- x = SR.var('x')
- return { 'ogf': [(-((x*((12*x**3)+(7*x**2)+(20*x)+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A228158():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(8*x)))/((1-x)*(1+x)*(1-(10*x**2))))] }
-
-
-
-def A228203():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(x-1)*((3*x**6)+(13*x**5)+(68*x**4)+(260*x**3)+(68*x**2)+(13*x)+3))/((x**4-(36*x**2)-1)*((x**4+(36*x**2))-1))))] }
-
-
-
-def A228204():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((3*x**6)+(8*x**5)+(53*x**4)+(160*x**3)+(53*x**2)+(8*x)+3))/((x**4-(36*x**2)-1)*((x**4+(36*x**2))-1)))] }
-
-
-
-def A228205():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((11*x**6)+(26*x**5)+(50*x**4)+(91*x**3)+(50*x**2)+(26*x)+11))/((x**4-(3*x**2)-1)*((x**4+(3*x**2))-1))))] }
-
-
-
-def A228206():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**6+(2*x**5)+(4*x**4)+(7*x**3)+(4*x**2)+(2*x)+1))/((x**4-(3*x**2)-1)*((x**4+(3*x**2))-1)))] }
-
-
-
-def A228207():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x-1)*((7*x**2)+(15*x)+7))/((x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A228208():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**2+x+1))/((x**2-x-1)*((x**2+x)-1)))] }
-
-
-
-def A228209():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((7*x**5)+(13*x**4)+(57*x**3))-(13*x**2)-(7*x)-3))/((x**6-(38*x**3))+1)))] }
-
-
-
-def A228210():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((7*x**2)+(15*x)+7))/((x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A228280():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((5+(8*x))-(6*x**2)-(38*x**3)-(2*x**4)-(5*x**5))+(45*x**6))-(51*x**7))+(26*x**8))-(4*x**9)-(2*x**10))+x**11))/((((1+(2*x))-(2*x**3))+x**4)*(((((1-(3*x)-(15*x**2)-(16*x**3))+(11*x**4)+(20*x**5))-(19*x**6))+(8*x**7))-x**9)))] }
-
-
-
-def A228290():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((7*x**4)+(42*x**3)+(56*x**2)+(14*x)+1))/(x-1)**7))] }
-
-
-
-def A228291():
- x = SR.var('x')
- return { 'ogf': [((x*(x**6+(78*x**5)+(981*x**4)+(2332*x**3)+(1443*x**2)+(198*x)+7))/(x-1)**8)] }
-
-
-
-def A228292():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((85*x**6)+(1695*x**5)+(7134*x**4)+(8254*x**3)+(2769*x**2)+(219*x)+4))/(x-1)**9))] }
-
-
-
-def A228293():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(332*x**7)+(11388*x**6)+(77356*x**5)+(153950*x**4)+(99204*x**3)+(19708*x**2)+(932*x)+9))/(x-1)**10)] }
-
-
-
-def A228294():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((341*x**8)+(18392*x**7)+(194612*x**6)+(616880*x**5)+(682550*x**4)+(267344*x**3)+(33308*x**2)+(968*x)+5))/(x-1)**11))] }
-
-
-
-def A228305():
- x = SR.var('x')
- return { 'ogf': [((x*((3+(4*x))-x**2))/(1-(2*x**2)))] }
-
-
-
-def A228306():
- x = SR.var('x')
- return { 'ogf': [((3*x**5*((((25-(70*x))+(80*x**2))-(43*x**3))+(9*x**4)))/(1-x)**5)] }
-
-
-
-def A228307():
- x = SR.var('x')
- return { 'ogf': [((3*x**5*((((35-(100*x))+(115*x**2))-(62*x**3))+(13*x**4)))/(1-x)**5)] }
-
-
-
-def A228310():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((5-(24*x))+(32*x**2)))/(1-(4*x))**3)] }
-
-
-
-def A228316():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(5+(26*x)+(132*x**2)+(183*x**3)+(280*x**4)+(132*x**5)+(74*x**6)+(7*x**7)+x**8))/((1-x)**7*(1+x)**5))] }
-
-
-
-def A228317():
- x = SR.var('x')
- return { 'ogf': [((3*x**3*(1+(2*x)))/(1-x)**5)] }
-
-
-
-def A228318():
- x = SR.var('x')
- return { 'ogf': [((x*((15-(12*x))+(5*x**2)))/(1-x)**3)] }
-
-
-
-def A228319():
- x = SR.var('x')
- return { 'ogf': [((x*((20-(15*x))+(7*x**2)))/(1-x)**3)] }
-
-
-
-def A228320():
- x = SR.var('x')
- return { 'ogf': [((x**7*((203-(329*x))+(138*x**2)))/(1-x)**3)] }
-
-
-
-def A228321():
- x = SR.var('x')
- return { 'ogf': [((x**2*((15-(12*x))+(8*x**2)+x**3))/(1-x)**3)] }
-
-
-
-def A228322():
- x = SR.var('x')
- return { 'ogf': [((x*((((15-(124*x))+(400*x**2))-(560*x**3))+(320*x**4)))/((1-(4*x))*(1-(2*x))**4))] }
-
-
-
-def A228338():
- x = SR.var('x')
- return { 'ogf': [((-(((x+1)**(5/2)*sqrt((1-(3*x))))/(2*x**4)))-(((1/2)*(((-1)-x)+(3*x**2)+(7*x**3)))/x**4))] }
-
-
-
-def A228344():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x-2)*(x**2+x+1))/((x-1)**3*(x+1)))] }
-
-
-
-def A228361():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)**2)/(1-x**2-x**3))] }
-
-
-
-def A228362():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x+x**2)**2)/(1-x**3-x**4-x**5))] }
-
-
-
-def A228364():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)**2)/((x**3+x**2)-1)**2)] }
-
-
-
-def A228392():
- x = SR.var('x')
- return { 'ogf': [((-1)-(((((((x**6-(2*x**5))+(23*x**4))-(22*x**3))+(16*x**2))-(6*x))+1)/(x-1)**7))] }
-
-
-
-def A228393():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((x**9-(9*x**8)-(17*x**7)-(263*x**6)-(3*x**5)-(120*x**4))+(66*x**3))-(31*x**2))+(8*x))-1))/(x-1)**10))] }
-
-
-
-def A228394():
- x = SR.var('x')
- return { 'ogf': [((-1)-(((x**2+1)*(((6*x**2)-(4*x))+1))/(x-1)**5))] }
-
-
-
-def A228395():
- x = SR.var('x')
- return { 'ogf': [((-1)-(((((((59*x**6)+(18*x**5)+(24*x**4))-(22*x**3))+(16*x**2))-(6*x))+1)/(x-1)**7))] }
-
-
-
-def A228396():
- x = SR.var('x')
- return { 'ogf': [((-1)-(((((((x**7-x**6-(3*x**5))+(7*x**4))-(4*x**3))+(7*x**2))-(4*x))+1)/(x-1)**5))] }
-
-
-
-def A228397():
- x = SR.var('x')
- return { 'ogf': [((-1)-(((((((((2*x**10)+(5*x**9)+(12*x**8))-(75*x**7))+(58*x**6)+(20*x**5)+(24*x**4))-(22*x**3))+(16*x**2))-(6*x))+1)/(x-1)**7))] }
-
-
-
-def A228398():
- x = SR.var('x')
- return { 'ogf': [((-1)+(((((x**6-(3*x**5))+(6*x**4)+(4*x**2))-(3*x))+1)/(x-1)**4))] }
-
-
-
-def A228399():
- x = SR.var('x')
- return { 'ogf': [((-1)+((((((((x**11-(5*x**10)-(2*x**9))+(44*x**8))-(23*x**7)-(87*x**6)-(22*x**5)-(24*x**4))+(22*x**3))-(16*x**2))+(6*x))-1)/(x-1)**7))] }
-
-
-
-def A228400():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((((((((2*x**19)+(28*x**17))-(90*x**16))+(31*x**15))-(329*x**14))+(2874*x**13))-(1487*x**12)-(13363*x**11))+(17425*x**10)+(8876*x**9))-(16945*x**8)-(8185*x**7)-(1326*x**6)-(48*x**5)-(120*x**4))+(66*x**3))-(31*x**2))+(8*x))-1))/(x-1)**10))] }
-
-
-
-def A228401():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((x**8-(8*x**7))+(28*x**6))-(54*x**5))+(78*x**4))-(42*x**3))+(24*x**2))-(7*x))+1))/(x-1)**9))] }
-
-
-
-def A228411():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(32*x))))/(16*x))**(1/4)] }
-
-
-
-def A228437():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(24*x)-(12*x**2)-(8*x**3)-(6*x**4)-(24*x**5)-(4*x**6)-(24*x**7)-(3*x**8)-(8*x**9)-(12*x**10)-(24*x**11)-(2*x**12)-(24*x**13)-(12*x**14)-(8*x**15)-(3*x**16)-(24*x**17)-(4*x**18)-(24*x**19)-(6*x**20)-(8*x**21)-(12*x**22)-(24*x**23))/((x-1)*(1+x+x**2)*(1+x)*((1-x)+x**2)*(1+x**2)*((x**4-x**2)+1)*(1+x**4)*((x**8-x**4)+1)))] }
-
-
-
-def A228471():
- x = SR.var('x')
- return { 'ogf': [((3+(5*x)+x**2+x**3)/(1-(6*x**2)-x**4))] }
-
-
-
-def A228477():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((-2)-(2*x))+x**3))/((1+x)*((x**4-x**3-(3*x**2)-(2*x))+1))))] }
-
-
-
-def A228494():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**2+x+1)**2)/((x**2+1)*((x**3+x**2)-1))**2)] }
-
-
-
-def A228503():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((5+x)-(14*x**2))+x**3+(2*x**4)))/((((-1)+(2*x)+(16*x**2)+x**3)-(27*x**4))+x**5+(4*x**6))))] }
-
-
-
-def A228510():
- x = SR.var('x')
- return { 'ogf': [((1152*(105+(2910*x)+(8168*x**2)+(4530*x**3)+(415*x**4)))/(1-x)**11)] }
-
-
-
-def A228521():
- x = SR.var('x')
- return { 'ogf': [((70*x*(x+1))/((x**2-(19602*x))+1))] }
-
-
-
-def A228522():
- x = SR.var('x')
- return { 'ogf': [(-((13*x*(x-1))/((x**2-(19602*x))+1)))] }
-
-
-
-def A228535():
- x = SR.var('x')
- return { 'ogf': [((182*x*(x+1))/((x**2-(132498*x))+1))] }
-
-
-
-def A228536():
- x = SR.var('x')
- return { 'ogf': [(-((25*x*(x-1))/((x**2-(132498*x))+1)))] }
-
-
-
-def A228537():
- x = SR.var('x')
- return { 'ogf': [((99*x*(x+1))/((x**2-(39206*x))+1))] }
-
-
-
-def A228538():
- x = SR.var('x')
- return { 'ogf': [(-((13*x*(x-1))/((x**2-(39206*x))+1)))] }
-
-
-
-def A228544():
- x = SR.var('x')
- return { 'ogf': [((29718*x*(x+1))/((x**2-(3.532638098E9*x))+1))] }
-
-
-
-def A228545():
- x = SR.var('x')
- return { 'ogf': [(-((3805*x*(x-1))/((x**2-(3.532638098E9*x))+1)))] }
-
-
-
-def A228546():
- x = SR.var('x')
- return { 'ogf': [((43*x*(x+1))/((x**2-(7398*x))+1))] }
-
-
-
-def A228547():
- x = SR.var('x')
- return { 'ogf': [(-((5*(x-1))/((x**2-(7398*x))+1)))] }
-
-
-
-def A228554():
- x = SR.var('x')
- return { 'ogf': [((378*x*(x+1))/((x**2-(571538*x))+1))] }
-
-
-
-def A228555():
- x = SR.var('x')
- return { 'ogf': [(-((41*x*(x-1))/((x**2-(571538*x))+1)))] }
-
-
-
-def A228564():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+(2*x**3)+(5*x**4)+x**5)/(1-x**2)**3)] }
-
-
-
-def A228568():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(4*x)))/((1-(8*x))+(8*x**2)))] }
-
-
-
-def A228569():
- x = SR.var('x')
- return { 'ogf': [((2-(5*x))/((1-(5*x))+(3*x**2)))] }
-
-
-
-def A228571():
- x = SR.var('x')
- return { 'ogf': [((1/2)*((1/(1-x**2-x**5))+((1+x**2+x**5)/(1-x**4-x**10))))] }
-
-
-
-def A228577():
- x = SR.var('x')
- return { 'ogf': [(x/((x**3+x**2)-1)**2)] }
-
-
-
-def A228579():
- x = SR.var('x')
- return { 'ogf': [((4005*x*(x+1))/((x**2-(64160102*x))+1))] }
-
-
-
-def A228580():
- x = SR.var('x')
- return { 'ogf': [(-((389*x*(x-1))/((x**2-(64160102*x))+1)))] }
-
-
-
-def A228581():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(3*x)+(11*x**2)+x**3))/(1-x)**7)] }
-
-
-
-def A228582():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*((2*x**7)+(7*x**6)+(48*x**5)+(67*x**4)+(82*x**3)+(37*x**2)+(12*x)+1))/((x+1)**4*(x-1)**8))] }
-
-
-
-def A228583():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((3*x**4)+(18*x**3)+(36*x**2)+(6*x)+1))/(x-1)**9))] }
-
-
-
-def A228597():
- x = SR.var('x')
- return { 'ogf': [((x*(141+(22*x)+(29*x**2)))/(1-x)**3)] }
-
-
-
-def A228598():
- x = SR.var('x')
- return { 'ogf': [((x**3*((141-(183*x))+(68*x**2)))/(1-x)**3)] }
-
-
-
-def A228602():
- x = SR.var('x')
- return { 'ogf': [((x*(17+(12*x)))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A228603():
- x = SR.var('x')
- return { 'ogf': [((x*(9+(8*x)))/(1-(4*x)-(4*x**2)))] }
-
-
-
-def A228604():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(18*x))+(25*x**2)))] }
-
-
-
-def A228605():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x))/(1-(16*x)-(11*x**2)))] }
-
-
-
-def A228606():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(17*x))+(7*x**2)))] }
-
-
-
-def A228609():
- x = SR.var('x')
- return { 'ogf': [((x*((((((-1)+(3*x)+(11*x**3))-(5*x**4))+x**5)-(3*x**6))+x**7+(5*x**2)))/((((x**3-(5*x**2))+(7*x))-1)*(x**6+(4*x**5)+(11*x**4)+(12*x**3)+(11*x**2)+(4*x)+1)*(x-1)**2))] }
-
-
-
-def A228644():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**18+x**17+x**16+(2*x**15)+x**14)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8))+x**5+x**4+x**3+x**2)-1)/((x-1)*(x**6+x**5+x**4+x**3+x**2+x+1)*((((x**15+x**14+x**13+(2*x**12))-x**9-(2*x**8)-(2*x**7)-x**6)+x**3+x**2+x)-1))))] }
-
-
-
-def A228645():
- x = SR.var('x')
- return { 'ogf': [(-((((((x**30+x**29+x**28+(2*x**27)+(2*x**26)+(2*x**25)+x**24+x**23)-x**22-(2*x**21)-(2*x**20)-(4*x**19)-(4*x**18)-(3*x**17)-(2*x**16)-x**15)+(2*x**13)+(2*x**12)+(3*x**11)+(3*x**10)+x**9+x**8)-x**5-x**4-x**3-x**2)+1)/((x-1)*(x**2+x+1)*(x**6+x**3+1)*(((((x**26+x**25+x**24+(2*x**23)+(2*x**22)+x**21+x**20)-(2*x**18)-(2*x**17)-(3*x**16)-(3*x**15)-(3*x**14)-x**13-x**12)+x**11+(2*x**10)+(2*x**9)+(2*x**8)+x**7+x**6)-x**3-x**2-x)+1))))] }
-
-
-
-def A228655():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((-1)+x))/((1-(5*x))+(3*x**2)+(3*x**3))))] }
-
-
-
-def A228656():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-3)+(4*x)))/((1-(6*x))+(2*x**2)+(8*x**3))))] }
-
-
-
-def A228661():
- x = SR.var('x')
- return { 'ogf': [(-((2*x)/((-1)+x+(3*x**2))))] }
-
-
-
-def A228678():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-5)+(6*x)+(3*x**2)))/((1-(5*x))+(3*x**2)+(3*x**3))))] }
-
-
-
-def A228679():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*((-1)+x+x**2))/((1-(6*x))+(2*x**2)+(8*x**3))))] }
-
-
-
-def A228680():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-13)+(59*x)+(4*x**2))-(64*x**3)-(15*x**4))+(5*x**5)))/((((1-(12*x))+(27*x**2)+(32*x**3))-(49*x**4)-(20*x**5))+(5*x**6))))] }
-
-
-
-def A228693():
- x = SR.var('x')
- return { 'ogf': [(-(((x**4+x**3+x**2)-x-1)/((x-1)*(x+1)*((2*x**2)-1))))] }
-
-
-
-def A228700():
- x = SR.var('x')
- return { 'ogf': [((8*x**3)/(((2*x)-1)*((4*x)-1)*((6*x)-1)*((8*x)-1)))] }
-
-
-
-def A228701():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2)/(((2*x)-1)*((4*x)-1)*((6*x)-1))))] }
-
-
-
-def A228702():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*(x**2+(4*x)+1))/((x**3-x**2-x-1)**2*((x**3+x**2+(3*x))-1)**2))] }
-
-
-
-def A228707():
- x = SR.var('x')
- return { 'ogf': [(((((((((1-(3*x))+(5*x**2))-(5*x**3))+(5*x**4))-(5*x**5))+(5*x**6))-(3*x**7))+x**8)/((1-x)**4*(1+x**4)*(1+x**2)**2)),
-((((1-x)+x**2)*((((((1-(2*x))+(2*x**2))-x**3)+(2*x**4))-(2*x**5))+x**6))/((1+x**2)**2*(1-x)**4*(1+x**4)))] }
-
-
-
-def A228733():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+x)*((x**2-x)+1))/((((-1)+(2*x))-x**3)+x**5)))] }
-
-
-
-def A228741():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((16-(3*x))+(7*x**2))-(5*x**3))+x**4))/(x-1)**5))] }
-
-
-
-def A228742():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((-28)-(17*x)-(6*x**2))+(18*x**3))-(6*x**4))+x**5))/(x-1)**6))] }
-
-
-
-def A228743():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((50+(97*x))-(7*x**2)-(70*x**3))+(24*x**4))-(7*x**5))+x**6))/(x-1)**7))] }
-
-
-
-def A228748():
- x = SR.var('x')
- return { 'ogf': [(-(((((2*x**3)+x**2)-(6*x))+2)/(((x**2+x)-1)*((x**2+(2*x))-1))))] }
-
-
-
-def A228767():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((2-(11*x))+(21*x**2))-(2*x**3))+(8*x**4)))/((1-x)**2*(1-(4*x))**2)))] }
-
-
-
-def A228769():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**4)-x**3)+(sqrt(((-(4*x))+1))*((((4*x**5)-(9*x**4))+(9*x**3))-(2*x**2))))/(((((12*x**4)-(31*x**3))+(27*x**2)+(sqrt(((-(4*x))+1))*(((((4*x**4)-(13*x**3))+(15*x**2))-(7*x))+1)))-(9*x))+1)))] }
-
-
-
-def A228770():
- x = SR.var('x')
- return { 'ogf': [(-(((((((24*x**6)-(71*x**5))+(84*x**4))-(45*x**3))+(11*x**2)+(sqrt(((-(4*x))+1))*((((((4*x**6)-(25*x**5))+(40*x**4))-(29*x**3))+(9*x**2))-x)))-x)/(((((((8*x**6)-(54*x**5))+(117*x**4))-(114*x**3))+(54*x**2))-(sqrt(((-(4*x))+1))*((((((12*x**5)-(43*x**4))+(58*x**3))-(36*x**2))+(10*x))-1))-(12*x))+1)))] }
-
-
-
-def A228771():
- x = SR.var('x')
- return { 'ogf': [(((((((8*x**6)-(28*x**5))+(50*x**4))-(35*x**3))+(10*x**2))-(sqrt(((-(4*x))+1))*(((((6*x**5)-(18*x**4))+(21*x**3))-(8*x**2))+x))-x)/((((((8*x**5)-(46*x**4))+(71*x**3))-(43*x**2)-(sqrt(((-(4*x))+1))*(((((12*x**4)-(31*x**3))+(27*x**2))-(9*x))+1)))+(11*x))-1))] }
-
-
-
-def A228826():
- x = SR.var('x')
- return { 'ogf': [(-((x-2)/(x**2+1)))] }
-
-
-
-def A228840():
- x = SR.var('x')
- return { 'ogf': [((2-(15*x))/((1-(15*x))+(27*x**2)))] }
-
-
-
-def A228842():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(3*x)))/((1-(6*x))+(4*x**2)))] }
-
-
-
-def A228843():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(12*x)))/((1-(24*x))+(64*x**2)))] }
-
-
-
-def A228873():
- x = SR.var('x')
- return { 'ogf': [(-((6*x)/((x-1)*(x**2+(3*x)+1)*((x**2-(7*x))+1))))] }
-
-
-
-def A228874():
- x = SR.var('x')
- return { 'ogf': [((6*(((x**4-(4*x**3)-(24*x**2))+(6*x))-4))/((x-1)*((x**2-(7*x))+1)*(x**2+(3*x)+1)))] }
-
-
-
-def A228879():
- x = SR.var('x')
- return { 'ogf': [(-(((7*x)+4)/((3*x**2)-1)))] }
-
-
-
-def A228887():
- x = SR.var('x')
- return { 'ogf': [(((4*x)+(19*x**2)+(4*x**3))/(1-x)**4)] }
-
-
-
-def A228888():
- x = SR.var('x')
- return { 'ogf': [(((10*x)+(16*x**2)+x**3)/(1-x)**4)] }
-
-
-
-def A228889():
- x = SR.var('x')
- return { 'ogf': [((6*x*(10+(16*x)+x**2))/(1-x)**4)] }
-
-
-
-def A228909():
- x = SR.var('x')
- return { 'ogf': [(-((720*x**6)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A228910():
- x = SR.var('x')
- return { 'ogf': [((5040*x**7)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)))] }
-
-
-
-def A228911():
- x = SR.var('x')
- return { 'ogf': [(-((40320*x**8)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1))))] }
-
-
-
-def A228912():
- x = SR.var('x')
- return { 'ogf': [((362880*x**9)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)))] }
-
-
-
-def A228913():
- x = SR.var('x')
- return { 'ogf': [(-((3628800*x**10)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1)*((11*x)-1))))] }
-
-
-
-def A228920():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((12*x**2)-(6*x))+1))/(((4*x)-1)*(((8*x**2)-(4*x))+1))))] }
-
-
-
-def A228921():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((((28672*x**6)-(9216*x**5))+(1280*x**4))-(64*x**3))+(48*x**2))-(12*x))+1))/(((8*x)-1)*(((32*x**2)-(8*x))+1)*((256*x**4)+1))))] }
-
-
-
-def A228935():
- x = SR.var('x')
- return { 'ogf': [((3*x*(1-x))/(x+1)**2)] }
-
-
-
-def A228936():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(x+1)*(x**2+(3*x)+1))/(x**2+1)**2))] }
-
-
-
-def A228937():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+(30*x**2)+(13*x**3))-(13*x**5)-(30*x**6)-(2*x**7)-x**8)/(1+(2*x**4)+x**8))] }
-
-
-
-def A228941():
- x = SR.var('x')
- return { 'ogf': [((x*((x**5+x**3)-x**2-(2*x)-1))/((x-1)**3*(x**2+x+1)**2))] }
-
-
-
-def A228949():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((-4)-(3*x)-(7*x**2)-(5*x**3))+x**5))/((x-1)**2*(1+x+x**2)**2)))] }
-
-
-
-def A228958():
- x = SR.var('x')
- return { 'ogf': [((x*((x**5-x**4)+(6*x**3)+x+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A229004():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**4)+(2*x**3)+x**2+(4*x)+4))/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A229031():
- x = SR.var('x')
- return { 'ogf': [(-((120*x**2*((4*x)-1))/(((2*x)-1)*((4*x)+1)*((6*x)-1))))] }
-
-
-
-def A229093():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((x**7-(2*x**6))+x**5)-x**4)+x**3)-x**2-1))/((x-1)**3*(x**2+x+1)))] }
-
-
-
-def A229127():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(10*x))+(90*x**2)))/((1-(9*x))*(1-(10*x))))] }
-
-
-
-def A229135():
- x = SR.var('x')
- return { 'ogf': [((((34*x**3)-(20*x**2))+(4*x))/((1-x)**2*(1-(4*x))**2))] }
-
-
-
-def A229136():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((2*x)-1)**2)/(((4*x)-1)*(((8*x**2)-(4*x))+1))))] }
-
-
-
-def A229138():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((((((2048*x**6)-(1024*x**5))+(128*x**4))-(128*x**3))+(56*x**2))-(12*x))+1))/(((8*x)-1)*(((32*x**2)-(8*x))+1)*((256*x**4)+1))))] }
-
-
-
-def A229144():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+(2*x**3)+(2*x**5)+(2*x**6)+x**7)/((1-x**8)*(1-x)))] }
-
-
-
-def A229146():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3+(23*x**2)+(32*x)+4)*x)/(x-1)**5))] }
-
-
-
-def A229147():
- x = SR.var('x')
- return { 'ogf': [(((x**4+(58*x**3)+(198*x**2)+(98*x)+5)*x)/(x-1)**6)] }
-
-
-
-def A229148():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+(137*x**4)+(957*x**3)+(1157*x**2)+(262*x)+6)*x)/(x-1)**7))] }
-
-
-
-def A229149():
- x = SR.var('x')
- return { 'ogf': [(((x**6+(312*x**5)+(4029*x**4)+(9664*x**3)+(5499*x**2)+(648*x)+7)*x)/(x-1)**8)] }
-
-
-
-def A229150():
- x = SR.var('x')
- return { 'ogf': [(-(((x**7+(695*x**6)+(15570*x**5)+(65998*x**4)+(74573*x**3)+(23067*x**2)+(1528*x)+8)*x)/(x-1)**9))] }
-
-
-
-def A229151():
- x = SR.var('x')
- return { 'ogf': [(((x**8+(1526*x**7)+(56856*x**6)+(395866*x**5)+(780950*x**4)+(486474*x**3)+(89224*x**2)+(3494*x)+9)*x)/(x-1)**10)] }
-
-
-
-def A229152():
- x = SR.var('x')
- return { 'ogf': [(-(((x**9+(3317*x**8)+(199643*x**7)+(2172239*x**6)+(6901145*x**5)+(7512749*x**4)+(2834873*x**3)+(326597*x**2)+(7826*x)+10)*x)/(x-1)**11))] }
-
-
-
-def A229154():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((x**6-(2*x**5))+x**4)-x**3)+(2*x**2)+1))/((x-1)**3*(x**2+x+1))))] }
-
-
-
-def A229183():
- x = SR.var('x')
- return { 'ogf': [((x*((2-x)+(2*x**2)))/(x-1)**4)] }
-
-
-
-def A229204():
- x = SR.var('x')
- return { 'ogf': [((((((-x**10)+x**9+(3*x**7))-x**6)+(2*x**5))-(2*x**4))/((1-x**3)**2*(1-x)))] }
-
-
-
-def A229277():
- x = SR.var('x')
- return { 'ogf': [(-((3*(x-1)*x)/((3*x)-1)**2))] }
-
-
-
-def A229278():
- x = SR.var('x')
- return { 'ogf': [(-((2*((3*x)-2)*x)/((4*x)-1)**2))] }
-
-
-
-def A229279():
- x = SR.var('x')
- return { 'ogf': [(-((5*((2*x)-1)*x)/((5*x)-1)**2))] }
-
-
-
-def A229280():
- x = SR.var('x')
- return { 'ogf': [(-((3*((5*x)-2)*x)/((6*x)-1)**2))] }
-
-
-
-def A229281():
- x = SR.var('x')
- return { 'ogf': [(-((7*((3*x)-1)*x)/((7*x)-1)**2))] }
-
-
-
-def A229282():
- x = SR.var('x')
- return { 'ogf': [(-((4*((7*x)-2)*x)/((8*x)-1)**2))] }
-
-
-
-def A229283():
- x = SR.var('x')
- return { 'ogf': [(-((9*((4*x)-1)*x)/((9*x)-1)**2))] }
-
-
-
-def A229284():
- x = SR.var('x')
- return { 'ogf': [(-((5*((9*x)-2)*x)/((10*x)-1)**2))] }
-
-
-
-def A229339():
- x = SR.var('x')
- return { 'ogf': [((x*((((((x**12-x**11)+(2*x**10))-(5*x**9)-(2*x**8)-x**7-(6*x**6))+x**5)-(2*x**4))+(5*x**3)+(2*x**2)+x+1))/((((-x**14)+(3*x**10)+x**8)-x**6-(3*x**4))+1))] }
-
-
-
-def A229354():
- x = SR.var('x')
- return { 'ogf': [(-((((29*x**2)-(27*x))+6)/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A229355():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((109*x**3)-(132*x**2))+(50*x))-6))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A229356():
- x = SR.var('x')
- return { 'ogf': [(-((((((1814*x**4)-(2543*x**3))+(1262*x**2))-(265*x))+20)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A229525():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5-x**4-(4*x**3)-(2*x**2))+(5*x)+11))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A229526():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**5+x**4)-(4*x**3)-(14*x**2))+x+5))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A229593():
- x = SR.var('x')
- return { 'ogf': [(((2*x**6)+x**5+x**4+(2*x**3))/((1-x**3)**2*(1-x)))] }
-
-
-
-def A229598():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*((((x**4-(2*x**3))+(5*x**2))-(2*x))+1))/((x-1)**3*(x**2+x+1)**2)))] }
-
-
-
-def A229620():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((2*x)+1)*(x**2-(4*x)-3))/((x-1)**4*(x+1))))] }
-
-
-
-def A229632():
- x = SR.var('x')
- return { 'ogf': [(x-((4*x**2*((2*x)-5)*(((((12*x**4)-(45*x**3))+(47*x**2))-(17*x))+2))/(((2*x**2)-(5*x))+1)**3))] }
-
-
-
-def A229665():
- x = SR.var('x')
- return { 'ogf': [(x**3-((x**4*((((((-3)+(24*x))-(77*x**2))+(114*x**3))-(72*x**4))+(18*x**5)))/(((3*x)-1)**3*(x-1)**3)))] }
-
-
-
-def A229667():
- x = SR.var('x')
- return { 'ogf': [(x-((x**2*(((((-61)-(274*x))+(2419*x**2))-(3156*x**3)-(1744*x**4))+(3392*x**5)))/(((8*x**2)-(7*x))+1)**3))] }
-
-
-
-def A229680():
- x = SR.var('x')
- return { 'ogf': [((12*x**2*((10*x)+1)*((10*x)-3))/((6*x)-1)**3)] }
-
-
-
-def A229689():
- x = SR.var('x')
- return { 'ogf': [(x-((x**2*((43-(148*x))+(108*x**2)))/((6*x)-1)**3))] }
-
-
-
-def A229690():
- x = SR.var('x')
- return { 'ogf': [((3*x)-((x**2*((245-(1538*x))+(3213*x**2)))/((9*x)-1)**3))] }
-
-
-
-def A229695():
- x = SR.var('x')
- return { 'ogf': [(((3*x**2)+(43*x**3))-((x**4*((245-(1034*x))+(1153*x**2)))/((3*x)-1)**3))] }
-
-
-
-def A229731():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((6+x)-(7*x**2)-x**3)+(3*x**4)+x**5))/(1-x-x**2)**3)] }
-
-
-
-def A229732():
- x = SR.var('x')
- return { 'ogf': [((x**4*((2-x**2)+x**3+x**4))/(1-x-x**2)**3)] }
-
-
-
-def A229733():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(2*x**3))-sqrt((((1-(2*x)-(3*x**2))+(4*x**3))-(4*x**4))))/(2*x**2))] }
-
-
-
-def A229734():
- x = SR.var('x')
- return { 'ogf': [(((((1+x)-(2*x**2))+(2*x**3))-sqrt((((1-(2*x)-(3*x**2))+(4*x**3))-(4*x**4))))/(2*((1-x)+x**2)))] }
-
-
-
-def A229735():
- x = SR.var('x')
- return { 'ogf': [((x*(x**6+(62*x**5)+(575*x**4)+(1140*x**3)+(575*x**2)+(62*x)+1))/(x-1)**8)] }
-
-
-
-def A229736():
- x = SR.var('x')
- return { 'ogf': [((x**5*(((2-(5*x))+(3*x**2))-x**3))/((1-x)**2*(1-(2*x))**2*((1-(3*x))+x**2)))] }
-
-
-
-def A229737():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-x)*((1-(4*x))+(4*x**2)+x**3))/((1-(2*x))**2*((1-(3*x))+x**2)))] }
-
-
-
-def A229829():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(2*x**2)+(3*x**3)+x**4+(3*x**5)+(2*x**6)+x**7+x**8))/((1-x)**2*(1+x)*(1+x**2)*(1+x**4)))] }
-
-
-
-def A229834():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/((1-x)**3*(1+x)**4))] }
-
-
-
-def A229838():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**5-x**4-x**3-(2*x**2)-(2*x)-3))/((x-1)**2*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A229852():
- x = SR.var('x')
- return { 'ogf': [((3*((-1)-(22*x**2)-x**4-(24*x*(1+x**2))))/((1+x)**2*(x-1)**3))] }
-
-
-
-def A229853():
- x = SR.var('x')
- return { 'ogf': [((1+(383*x))/(1-x)**2)] }
-
-
-
-def A229855():
- x = SR.var('x')
- return { 'ogf': [((257+(127*x))/(1-x)**2)] }
-
-
-
-def A229858():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**5-x**4)+x**2+x)-3))/(x-1)**2))] }
-
-
-
-def A229903():
- x = SR.var('x')
- return { 'ogf': [((190*x*((10000*x**2)+(100*x)+1))/((x-1)*((1000*x)-1)*((1000*x)+1)))] }
-
-
-
-def A229912():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3-(6*x)-(2*x**2))+(3*x**3)))/((1+x)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A229968():
- x = SR.var('x')
- return { 'ogf': [((x*(x**20+x**19+(2*x**18)+x**17+(2*x**16)+x**15+(2*x**14)+(3*x**13)+x**12+(2*x**11)+x**10+(2*x**9)+x**8+(3*x**7)+(2*x**6)+x**5+(2*x**4)+x**3+(2*x**2)+x+1))/((x-1)**2*(x+1)*(x**2+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)*((((x**8-x**6)+x**4)-x**2)+1)))] }
-
-
-
-def A229973():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**22+x**20+x**18+x**16+(2*x**14))-x**12)+(3*x**11))-x**10)+(2*x**8)+x**6+x**4+x**2+1))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+1)*((x**4-x**2)+1)*(x**4+1)*((x**8-x**4)+1)))] }
-
-
-
-def A230018():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**2)+(13*x)+7))/(x-1)**4)] }
-
-
-
-def A230033():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((((((((((((((((((((((((((5041-(499700*x))+(20440353*x**2))-(466963360*x**3))+(6.751799885E9*x**4))-(6.6182756655E10*x**5))+(4.59438362278E11*x**6))-(2.327864968019E12*x**7))+(8.797357131438E12*x**8))-(2.5192378831195E13*x**9))+(5.5291405473782E13*x**10))-(9.3750343061691E13*x**11))+(1.23440474579985E14*x**12))-(1.26568817064424E14*x**13))+(1.01127542456783E14*x**14))-(6.2874205910076E13*x**15))+(3.0308779015615E13*x**16))-(1.1259345843608E13*x**17))+(3.194422598067E12*x**18))-(6.83503915153E11*x**19))+(1.08424368962E11*x**20))-(1.2458825709E10*x**21))+(1004282914*x**22))-(54198917*x**23))+(1818498*x**24))-(33157*x**25))+(239*x**26)))/((1-x)*((((((1-(13*x))+(57*x**2))-(97*x**3))+(57*x**4))-(13*x**5))+x**6)*((((((((1-(71*x))+(952*x**2))-(3976*x**3))+(6384*x**4))-(3976*x**5))+(952*x**6))-(71*x**7))+x**8)*((((((((((((1-(54*x))+(1039*x**2))-(9096*x**3))+(39037*x**4))-(90378*x**5))+(118951*x**6))-(90378*x**7))+(39037*x**8))-(9096*x**9))+(1039*x**10))-(54*x**11))+x**12)))] }
-
-
-
-def A230059():
- x = SR.var('x')
- return { 'ogf': [((x**5*((1+x)-x**2))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A230074():
- x = SR.var('x')
- return { 'ogf': [((-((2*x)/(1-x**4)))+(1/(1-x**2)))] }
-
-
-
-def A230080():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(4*x)-x**2)+x**3))/(((1-(3*x)-(3*x**2))+(4*x**3)+x**4)-x**5))] }
-
-
-
-def A230081():
- x = SR.var('x')
- return { 'ogf': [((x*((4+x)-x**2))/(((1-(3*x)-(3*x**2))+(4*x**3)+x**4)-x**5))] }
-
-
-
-def A230089():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**5)-x**4-(2*x**3)-(2*x**2)-(2*x)-1))/((x-1)**2*(x+1)**2*(x**2+1))))] }
-
-
-
-def A230096():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**3)-x**2)+1)/((x**2+1)*((2*x**2)-1))))] }
-
-
-
-def A230122():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-x**2-sqrt(((1-(2*x)-x**2)**2-(4*x**2*(1-x-x**2)**2))))/(2*x**2*(1-x-x**2)))] }
-
-
-
-def A230128():
- x = SR.var('x')
- return { 'ogf': [((x**5*((2*x**2)+x+1))/((x-1)**2*(x+1)*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A230149():
- x = SR.var('x')
- return { 'ogf': [((x**6*(1+x+x**2+(2*x**3)))/((1+x)*(1-x)**2*(1+x**2)*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A230167():
- x = SR.var('x')
- return { 'ogf': [((x**6*((2*x**9)-(2*x**6)-(3*x**5)-(5*x**4)-(4*x**3)-(4*x**2)-(2*x)-2))/((x-1)**3*(x+1)**2*((x**2-x)+1)*(x**2+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A230196():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**8)+(2*x**7)+x**6))/((1+x)*(1-x**3)*(1-x**5)))] }
-
-
-
-def A230197():
- x = SR.var('x')
- return { 'ogf': [((x**8*((2*x**5)+x**4+x**3+x**2+x+1))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A230198():
- x = SR.var('x')
- return { 'ogf': [((x**9*((2*x**6)+x**5+x**4+x**3+x**2+x+1))/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A230239():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*((3*x)+1)*((x**2-x)+1)*(x**2+1))/((x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A230240():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5*x**11)+(3*x**10)+x**9+(2*x**8)+(6*x**7)+(3*x**6)+(3*x**5)+(4*x**4)+(2*x**3)+(3*x**2)+(3*x)+1))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+1)*(x**2+x+1)*((x**4-x**2)+1)))] }
-
-
-
-def A230257():
- x = SR.var('x')
- return { 'ogf': [((x**10*((2*x**7)+x**6+x**5+x**4+x**3+x**2+x+1))/((x-1)**2*(x+1)*(x**2+1)*(x**2+x+1)*(x**4+1)*(x**6+x**3+1)))] }
-
-
-
-def A230258():
- x = SR.var('x')
- return { 'ogf': [((x**7*((4*x**12)+x**11+(2*x**10)+(2*x**9)+(2*x**8)+(3*x**7)+(3*x**6)+(2*x**5)+(3*x**4)+x**2+x+1))/((x-1)**2*(x+1)*(x**2+x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)*(x**6+x**3+1)))] }
-
-
-
-def A230276():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+(3*x**3)+(4*x**2)+1))/((1-x)*(1-x**2)*(1-x**3)))] }
-
-
-
-def A230307():
- x = SR.var('x')
- return { 'ogf': [(((3331-(8830*x))+(5777*x**2))/(1-x)**3)] }
-
-
-
-def A230328():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((x**18+(3*x**17)+(12*x**16))-(6*x**15))+(9*x**14)+(91*x**12))-(138*x**11))+(183*x**10))-(134*x**9))+(183*x**8))-(138*x**7))+(91*x**6)+(9*x**4))-(6*x**3))+(12*x**2)+(3*x)+1)/((x-1)**3*(x**2+1)**3*(x**4+1)**3)))] }
-
-
-
-def A230402():
- x = SR.var('x')
- return { 'ogf': [(-((168*x*(((((9*x**10)-(2*x**9))+(22*x**8)+(6*x**7)+(11*x**6)+(52*x**5)+(11*x**4)+(6*x**3)+(22*x**2))-(2*x))+9))/((x-1)**3*(x+1)*((x**2-x)+1)**2*(x**2+x+1)**2)))] }
-
-
-
-def A230539():
- x = SR.var('x')
- return { 'ogf': [((12*x)/(1-(8*x))**2)] }
-
-
-
-def A230540():
- x = SR.var('x')
- return { 'ogf': [((6*x)/(1-(9*x))**2)] }
-
-
-
-def A230557():
- x = SR.var('x')
- return { 'ogf': [((x*(((((-1)-(2*x))+x**6+(2*x**3)+(6*x**5)+(2*x**7)+(4*x**5*(((-(3*x**4))-(2*x**2))+1)**(1/2))+(2*x**7*(((-(3*x**4))-(2*x**2))+1)**(1/2))+(x**4*(((-(3*x**4))-(2*x**2))+1)**(1/2))+(2*x**6*(((-(3*x**4))-(2*x**2))+1)**(1/2)))-(2*x*(((-(3*x**4))-(2*x**2))+1)**(1/2))-(((-(3*x**4))-(2*x**2))+1)**(1/2))+x**2+(3*x**4)))/(((3*x**6)+(2*x**6*(((-(3*x**4))-(2*x**2))+1)**(1/2))+(5*x**4)+(3*x**4*(((-(3*x**4))-(2*x**2))+1)**(1/2))+x**2)-1-(((-(3*x**4))-(2*x**2))+1)**(1/2)))] }
-
-
-
-def A230584():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**6-(2*x**5))+x**3+x**2)-x-2))/((x-1)**3*(x+1)**2))] }
-
-
-
-def A230586():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-(4*x))+(126*x**2))-(4*x**3))+x**4))/(1-x)**6)] }
-
-
-
-def A230588():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((-1)+x))/((((-1)+(5*x))-(5*x**2))+(5*x**3)+(8*x**4)))] }
-
-
-
-def A230610():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((1-(6*x**2))+x**3))/((x-1)*((((x**4-(11*x**3))+(31*x**2))-(14*x))+1))))] }
-
-
-
-def A230647():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*((2*x)+1)*(x-1))/((1-(9*x**2))+(4*x**4))))] }
-
-
-
-def A230648():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*(1+x)*((x**2-(5*x))+3))/((1-(3*x)-(8*x**2))+x**3+x**4))] }
-
-
-
-def A230658():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*(((-1)-(5*x))+(2*x**2)))/((1-(9*x**2))+(4*x**4))))] }
-
-
-
-def A230723():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(3*x)+(7*x**2)+(19*x**3)+(16*x**4)+(12*x**5)+x**6+(2*x**7))-x**8))/((1-x**3)*(1-x**2)**3*(1-x)**3))] }
-
-
-
-def A231056():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((((((((x**15-(2*x**14))+x**13)-x**12)+(2*x**11))-(2*x**10))+(2*x**9))-x**8)+x**5)-x**4)+x**3+x**2)-x)+1))/((x-1)**3*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A231064():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((5*x**15)-(5*x**14)-(5*x**12))+(5*x**11))-(5*x**10))+(5*x**9)+(4*x**5)+x**4+(4*x**3)+(7*x**2)+4))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A231065():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((((((((((((4*x**16)-(8*x**15))+(4*x**14))-(4*x**13))+(8*x**12))-(8*x**11))+(8*x**10))-(4*x**9))+(4*x**6))-(5*x**5))+(2*x**4)+(2*x**3))-(6*x**2))+(2*x))-1))/((x-1)**3*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A231087():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((25-(38*x))+(7*x**2)))/((1-x)*((1-(5*x))+x**2)))] }
-
-
-
-def A231101():
- x = SR.var('x')
- return { 'ogf': [((x**2-3)/(((3*x**3)+x**2)-1))] }
-
-
-
-def A231181():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-x-(4*x**2))+(3*x**3)+(3*x**4))-x**5))] }
-
-
-
-def A231182():
- x = SR.var('x')
- return { 'ogf': [(((1-x-x**2)*(1-(3*x**2)))/(((1-x-(4*x**2))+(3*x**3)+(3*x**4))-x**5))] }
-
-
-
-def A231183():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)+x+(4*x**2))-(3*x**3)))/(((1-x-(4*x**2))+(3*x**3)+(3*x**4))-x**5))] }
-
-
-
-def A231184():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x+(4*x**2))/(((1-x-(4*x**2))+(3*x**3)+(3*x**4))-x**5))] }
-
-
-
-def A231430():
- x = SR.var('x')
- return { 'ogf': [(x**3/((1-(5*x))+(4*x**2)+(4*x**3)+(6*x**4)))] }
-
-
-
-def A231485():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((((((((361-(5508*x))+(28193*x**2))-(64021*x**3))+(70770*x**4))-(38841*x**5))+(10278*x**6))-(1173*x**7))+(41*x**8)))/((1-x)*((((1-(9*x))+(21*x**2))-(9*x**3))+x**4)*((((1-(19*x))+(41*x**2))-(19*x**3))+x**4)))] }
-
-
-
-def A231559():
- x = SR.var('x')
- return { 'ogf': [((x**2*(2+x**2))/((1+x**2)*(1-x)**3))] }
-
-
-
-def A231643():
- x = SR.var('x')
- return { 'ogf': [((5*(2-(3*x)))/((1-x)*(1-(2*x))))] }
-
-
-
-def A231653():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**14+(7*x**12)+(26*x**11)+(146*x**10)+(432*x**9)+(947*x**8)+(1418*x**7)+(1621*x**6)+(1405*x**5)+(932*x**4)+(438*x**3)+(150*x**2)+(33*x)+4))/((x-1)**9*(x+1)**4*(x**2+x+1)**3)))] }
-
-
-
-def A231654():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((x**11-(4*x**10))+(14*x**9))-(78*x**8)-(189*x**7)-(902*x**6)-(1316*x**5)-(1476*x**4)-(794*x**3)-(258*x**2)-(36*x)-2))/((x-1)**11*(x+1)**5))] }
-
-
-
-def A231896():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(4*x))+x**2))] }
-
-
-
-def A232015():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/(1-x-(6*x**2)))] }
-
-
-
-def A232162():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+2))/((x**4+(3*x**3)+x**2+x)-1)))] }
-
-
-
-def A232163():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**2)+x+1))/((x**4+(3*x**3)+x**2+x)-1)))] }
-
-
-
-def A232164():
- x = SR.var('x')
- return { 'ogf': [(-(x/((x**4+(3*x**3)+x**2+x)-1)))] }
-
-
-
-def A232165():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1))/((x**4+(3*x**3)+x**2+x)-1)))] }
-
-
-
-def A232229():
- x = SR.var('x')
- return { 'ogf': [((x*((-9)+(11*x)+(70*x**2)))/(((10*x)-1)*(x-1)**2))] }
-
-
-
-def A232230():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+x**2+x**3+x**5)/((1-x)*(1-(2*x)-x**3)))] }
-
-
-
-def A232231():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x))+(2*x**2)+(2*x**4)+(4*x**5))/((1-x)*(1-(3*x)-(4*x**3))))] }
-
-
-
-def A232289():
- x = SR.var('x')
- return { 'ogf': [(-((x*(3+(3*x)+x**2))/((-1)+(4*x)+(4*x**2)+x**3)))] }
-
-
-
-def A232296():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((1+(9*x)+(8*x**2)+(7*x**3))-(7*x**4)-(6*x**5)-(13*x**6))+(3*x**7)+(5*x**8)))/(((((5*x**6)+(8*x**5))-(3*x**4)-(8*x**3)-(6*x**2)-(5*x))+1)*(((x**3-(2*x**2))+x)-1))))] }
-
-
-
-def A232311():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-16)+(21*x)+(12*x**2)+(2*x**3)))/((1-(10*x))+(11*x**2)+(5*x**3)+x**4)))] }
-
-
-
-def A232317():
- x = SR.var('x')
- return { 'ogf': [((2*x)-((x**2*(((-5)-x)+x**2+(3*x**3)))/((1-(3*x)-x**2)+(2*x**4))))] }
-
-
-
-def A232331():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((-3)+(5*x)+(8*x**2)+(4*x**3)))/((1-(7*x))+(9*x**2)+(8*x**3)+(4*x**4))))] }
-
-
-
-def A232345():
- x = SR.var('x')
- return { 'ogf': [((x*(((21+(60*x)+(54*x**2)+(60*x**3))-(120*x**4)-(304*x**5)-(32*x**6))+(64*x**7)))/((((1-(7*x))+(2*x**2))-(30*x**3)-(44*x**4)-(8*x**5)-(16*x**6))+(32*x**7)+(64*x**8)))] }
-
-
-
-def A232400():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((1+(4*x))-(6*x**3)-(7*x**4))+(3*x**5)+(5*x**6)+(3*x**7)+x**8))/((((-1)+(5*x**2)+(4*x**3))-(3*x**4)-(12*x**5)-(3*x**6))+(6*x**7)+(6*x**8)+(2*x**9))))] }
-
-
-
-def A232449():
- x = SR.var('x')
- return { 'ogf': [(((16661-(782770*x))+(767000*x**2))/((1-x)*(1-(10*x))*(1-(100*x))))] }
-
-
-
-def A232492():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*(((((1-(5*x))+(9*x**2))-(4*x**3)-(2*x**4))+(8*x**6))-(6*x**5)))/(((2*x**2)-1)*((2*x**3)-1)*((2*x)-1)**3)))] }
-
-
-
-def A232493():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(16*x**2))/(((6*x)-1)*((12*x**2)-1)))] }
-
-
-
-def A232494():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(2*x)+(16*x**2))/(((6*x)-1)*((2*x)-1)*((12*x**2)-1)))] }
-
-
-
-def A232495():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((6+(23*x))-(4*x**2))+(2*x**3)))/(1-x)**4)] }
-
-
-
-def A232497():
- x = SR.var('x')
- return { 'ogf': [(-((((x**6-x**5-(2*x**4))+x**3+(3*x**2))-1)/((((2*x**12)+(4*x**10)+(6*x**8)+(6*x**7)+(13*x**6)+(13*x**5))-(2*x**4)-(7*x**3)-(5*x**2))+1)))] }
-
-
-
-def A232509():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((4-(3*x)-(6*x**2)-x**3)+x**4+x**6))/((((-1)+(4*x)+x**2)-(4*x**3)-(5*x**4)-(2*x**5))+x**6+(2*x**7))))] }
-
-
-
-def A232510():
- x = SR.var('x')
- return { 'ogf': [(-((16*x)/((1+x)*((x**2+(3*x))-1))))] }
-
-
-
-def A232516():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(2+(8*x)+(2*x**2)+x**3+x**4))/((-1)+(3*x**2)+x**3+(2*x**4)+(2*x**5))))] }
-
-
-
-def A232517():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((-2)-(26*x)-(4*x**2)-(5*x**3))+(3*x**4)+(5*x**5)+(5*x**6)))/((1-(6*x**2)-x**3-(3*x**4)-x**5)+(2*x**6)+(2*x**7))))] }
-
-
-
-def A232518():
- x = SR.var('x')
- return { 'ogf': [(((((-8)-(200*x)-(32*x**2)-(108*x**3))+(94*x**4)+(444*x**5)+(256*x**6))-(120*x**7)-(120*x**8))/((((-1)+(12*x**2)+x**3+(11*x**4)+x**5)-(30*x**6)-(22*x**7))+(8*x**8)+(8*x**9)))] }
-
-
-
-def A232567():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2)*(((1+(3*x))-x**2)+x**3))/((1+x)**3*(1-x)**5))] }
-
-
-
-def A232568():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((x**9-(4*x**8))+x**7+(12*x**6)+(9*x**5))-(70*x**4)-(77*x**3)-(84*x**2)-(22*x)-6))/((x-1)**7*(x+1)**4))] }
-
-
-
-def A232582():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/((((-1)+(2*x))-x**2)+x**3)))] }
-
-
-
-def A232583():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((5-(3*x)-x**2)+(2*x**3)))/((((-1)+(4*x))-x**2-x**3)+(2*x**4))))] }
-
-
-
-def A232584():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+x)**2)/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A232585():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(13+(11*x)+x**2+(3*x**3)+(2*x**4)))/((1+x)*((((2*x**4)-x**3)+(3*x**2)+(6*x))-1))))] }
-
-
-
-def A232590():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(5+(6*x)+(4*x**2)+x**3))/(((x**3+x**2+x)-1)*(1+x)**2)))] }
-
-
-
-def A232599():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+x**2))/((x-1)*(1+x)**4))] }
-
-
-
-def A232601():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((-1)+(2*x)))/((x-1)*((2*x)+1)**3)))] }
-
-
-
-def A232602():
- x = SR.var('x')
- return { 'ogf': [((2*x*((1-(8*x))+(4*x**2)))/((x-1)*((2*x)+1)**4))] }
-
-
-
-def A232603():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-1)+x))/(((2*x)-1)*(1+x)**3)))] }
-
-
-
-def A232604():
- x = SR.var('x')
- return { 'ogf': [((x*((1-(4*x))+x**2))/(((2*x)-1)*(1+x)**4))] }
-
-
-
-def A232621():
- x = SR.var('x')
- return { 'ogf': [(((((-(18*x**2))+(13*x**3))-x**4)+x+1)/((1-x)*((1-(6*x))+x**2)))] }
-
-
-
-def A232622():
- x = SR.var('x')
- return { 'ogf': [((((((-1)+(3*x)+(4*x**2))-(10*x**3))+(4*x**5))-x**6)/((x-1)*((x**2-(4*x))+1)*((x**4-(4*x**2))+1)))] }
-
-
-
-def A232713():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(30*x)+(45*x**2)+(5*x**3)))/(1-x)**5)] }
-
-
-
-def A232719():
- x = SR.var('x')
- return { 'ogf': [((3*x*((28*x)+23))/((x-1)*((16*x**2)+(136*x)+1)))] }
-
-
-
-def A232730():
- x = SR.var('x')
- return { 'ogf': [((5*(1+x)*(1-x)**2)/((1-(10*x))*(1-(10*x**2))))] }
-
-
-
-def A232732():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((32*x**2)+(57643*x)+461))/(((64*x)+1)*(x**2+(2702*x)+1))))] }
-
-
-
-def A232757():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((x**9-(29*x**8))+(291*x**7))-(1336*x**6))+(2960*x**5))-(3174*x**4))+(1591*x**3))-(372*x**2))+(37*x))-1)/((((((((((x**10-(36*x**9))+(470*x**8))-(2809*x**7))+(8422*x**6))-(12960*x**5))+(10223*x**4))-(3991*x**3))+(755*x**2))-(60*x))+1)))] }
-
-
-
-def A232765():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*(x**2+x+1)**2)/((x-1)*((x**6-(14*x**3))+1))))] }
-
-
-
-def A232771():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+(3*x**3)+(6*x**2)+(3*x)+1))/((x**6-(14*x**3))+1))] }
-
-
-
-def A232801():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-x-1))/((x**2-1)*(1-(3*x**2))))] }
-
-
-
-def A232896():
- x = SR.var('x')
- return { 'ogf': [((x*(1-(2*x**2)))/((1-x)**2*(1-x-x**2)))] }
-
-
-
-def A232970():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x))/((1-(5*x))+(3*x**2)+x**3))] }
-
-
-
-def A232971():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(3*x**2)+x**3)/(((1-(7*x))+(10*x**2)+x**3)-x**4))] }
-
-
-
-def A232999():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((x**5+(16*x**4))-(32*x**3)-(44*x**2))+(43*x))-8))/((x-1)*(x+1)*((x**2-(4*x))+1)*((x**2+(2*x))-1))))] }
-
-
-
-def A233000():
- x = SR.var('x')
- return { 'ogf': [(-(((((((5*x**7)+(10*x**6))-(70*x**5))+(6*x**4)+(122*x**3))-(38*x**2)-(43*x))+16)/((x-1)*(x+1)*((x**2-(3*x))+1)*(x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A233035():
- x = SR.var('x')
- return { 'ogf': [((x**7+x**6+x**5+x**4+(4*x**3))/((1-x)*(1-x**4)**2))] }
-
-
-
-def A233139():
- x = SR.var('x')
- return { 'ogf': [(((x**3+(2*x))-1)/(((2*x**4)+x**3+(2*x))-1))] }
-
-
-
-def A233148():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**3*((29584*x**9)+(491264*x**8)+(2823089*x**7)+(6622739*x**6)+(6646049*x**5)+(2837531*x**4)+(480491*x**3)+(27281*x**2)+(371*x)+1))/(x-1)**13))] }
-
-
-
-def A233191():
- x = SR.var('x')
- return { 'ogf': [((((2*x**6)+x**4+(2*x**2))-1)/((((((-(8*x**12))-(8*x**9)-(18*x**8))+(12*x**7)+(4*x**6))-(8*x**5))+(5*x**4)+(4*x**3)+(4*x**2))-1))] }
-
-
-
-def A233231():
- x = SR.var('x')
- return { 'ogf': [((((2+x+(2*x**2))-(13*x**3))+(7*x**4)+(2*x**5)+(3*x**6))/((1-x)*((1-(10*x**3))+x**6)))] }
-
-
-
-def A233266():
- x = SR.var('x')
- return { 'ogf': [((((((x**8-(4*x**7))+(3*x**6))-(2*x**5)-(2*x**4)-(2*x**3))+(2*x**2)+(2*x))-1)/(((((((((((-(2*x**14))+(8*x**13))-(10*x**12))+(16*x**11))-(4*x**10))+(20*x**9))-(13*x**8))+(4*x**7)+(15*x**6))-(28*x**5)-(6*x**4))+(4*x**3)+(4*x**2)+(2*x))-1))] }
-
-
-
-def A233289():
- x = SR.var('x')
- return { 'ogf': [((((((x**7-x**6)+x**5)-x**4)+(4*x**3)+(2*x**2)+x)-1)/(((((((-x**10)+x**9)-(3*x**8))+(4*x**7))-(7*x**6)-(11*x**5))+(2*x**4)+(13*x**3)+(3*x))-1))] }
-
-
-
-def A233291():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((x**31-x**30-x**29-(3*x**28)-(5*x**27))+(8*x**26)+(3*x**25))-(39*x**24))+(48*x**23)+(34*x**22))-(11*x**21))+(112*x**20))-(63*x**19)-(34*x**18))+(166*x**17))-(188*x**16)-(174*x**15))+(151*x**14))-(251*x**13))+(57*x**12)+(104*x**11)+(171*x**10))-(69*x**9)-(90*x**8)-(30*x**7)-(61*x**6))+(20*x**5)+(31*x**4)+(4*x**3)+(4*x**2)+x)-1)/(((((((((((((((((((-x**35)+x**34+x**33+(5*x**32)+(4*x**31))-(11*x**30)-(10*x**29))+(54*x**28))-(65*x**27)-(48*x**26)-(48*x**25)-(195*x**24))+(231*x**23))-(78*x**22)-(473*x**21))+(794*x**20)+(447*x**19))-(981*x**18))+(1285*x**17)+(395*x**16))-(720*x**15)-(202*x**14))+(640*x**13)+(567*x**12))-(232*x**11))+(638*x**10))-(169*x**9)-(233*x**8)-(256*x**7)-(97*x**6))+(29*x**5)+(52*x**4))-(4*x**3))+(2*x**2)+(3*x))-1))] }
-
-
-
-def A233325():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A233326():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A233328():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A233329():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/((1+x)**2*(1-x)**5))] }
-
-
-
-def A233339():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((((-x**14)+(45*x**13))-(790*x**12))+(7195*x**11))-(37791*x**10))+(120544*x**9))-(241021*x**8))+(307384*x**7))-(251359*x**6))+(131039*x**5))-(42817*x**4))+(8472*x**3))-(952*x**2))+(53*x))-1)/(((((((((((((((x**15-(56*x**14))+(1223*x**13))-(13643*x**12))+(87066*x**11))-(338409*x**10))+(836269*x**9))-(1345297*x**8))+(1419177*x**7))-(976456*x**6))+(431092*x**5))-(118633*x**4))+(19424*x**3))-(1761*x**2))+(76*x))-1))] }
-
-
-
-def A233347():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt(((4*(1-x)*(1+x**3))-3)))/(2*x))] }
-
-
-
-def A233411():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/((1-(2*x**2))*(1-(2*x))))] }
-
-
-
-def A233450():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(5*x))-x**2-x**3))/((1-x)*((1-(10*x**2))+x**4)))] }
-
-
-
-def A233457():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*((7*x**3)+(5*x**2)+(3*x)+1)*(x**4+1)*((((((x**6-x**5)+x**4)-x**3)+x**2)-x)+1))/((x-1)**2*(x**2+x+1)*(x**4+x**3+x**2+x+1)*((((((x**8-x**7)+x**5)-x**4)+x**3)-x)+1)))] }
-
-
-
-def A233474():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+(10*x**2)+(3*x**3)+x**4))/((1-x)*((1-(38*x**2))+x**4)))] }
-
-
-
-def A233505():
- x = SR.var('x')
- return { 'ogf': [(((((((x**17+(3*x**16))-x**15-(5*x**14))+(8*x**13))-(8*x**12)-(22*x**10)-(20*x**9)-(62*x**8)-(20*x**7)-(42*x**6))+(18*x**5)+(19*x**3)+x**2+(3*x))-1)/((((((((((((-x**20)-(2*x**19))+(2*x**18)+(9*x**17))-(12*x**16))+(27*x**15)+(41*x**14)+(66*x**13)+(62*x**12)+(184*x**11)+(76*x**10)+(156*x**9))-(92*x**8))+(20*x**7))-(141*x**6))+(28*x**5))-(62*x**4))+(19*x**3)+(5*x))-1))] }
-
-
-
-def A233522():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1+x)*(1+x**2)*(1-x-x**5)))] }
-
-
-
-def A233581():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/(((1-(2*x))+(3*x**2))-x**3))] }
-
-
-
-def A233656():
- x = SR.var('x')
- return { 'ogf': [(((x**2+(2*x))-1)/((x-1)**2*((3*x)-1)))] }
-
-
-
-def A233735():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((((((x**21-x**20-x**11)+x**10+x**9)-x**8)+x**6)-x**5)+x**3+x**2)-x)+1))/((1-x**5)*(1-x)**2))] }
-
-
-
-def A233820():
- x = SR.var('x')
- return { 'ogf': [((5*x*(4+x+(3*x**2)+(2*x**3)))/((1-x)*(1+x)*(1+x**2)))] }
-
-
-
-def A233828():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(3*x)+x**2)/(1-(2*x)-(2*x**2)-x**3))] }
-
-
-
-def A233831():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x)+x**2)/((1+(2*x)+(2*x**2))-x**3))] }
-
-
-
-def A234041():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+(7*x**3)+(2*x**4)+x**5+x**6)/(1-x**3)**3)] }
-
-
-
-def A234249():
- x = SR.var('x')
- return { 'ogf': [(-((15*x**3*(x**2+(5*x)+1))/(x-1)**9))] }
-
-
-
-def A234250():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((x**4-(3*x**3))+(2*x**2)+x)-16))/(x-1)**7)] }
-
-
-
-def A234253():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(64*x**7)+(784*x**6)+(3136*x**5)+(4900*x**4)+(3136*x**3)+(784*x**2)+(64*x)+1))/(x-1)**18)] }
-
-
-
-def A234267():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(2*x))*(((1-(5*x))+(6*x**2))-x**3)))] }
-
-
-
-def A234269():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**2)-sqrt((1-(4*x**2)-(4*x**3))))/(2*x*sqrt((1-(4*x**2)-(4*x**3)))))] }
-
-
-
-def A234270():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-x-(2*x**2)-sqrt((1-(2*x)-(3*x**2)))))/(2*x*(1-(2*x)-x**2)))] }
-
-
-
-def A234271():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(10*x**2)+(4*x**3)+x**4)/((1-(2*x)-(2*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A234272():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/((1-(4*x))+x**2))] }
-
-
-
-def A234273():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3)/((1-x**2-(2*x**3)-x**4)+x**6))] }
-
-
-
-def A234274():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x+x**2+x**3+x**4))/((1-(6*x)-(6*x**2)-(6*x**3))+x**4))] }
-
-
-
-def A234276():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(((2*x**2)+x**3)*(1-sqrt((1-(4*x)))))))] }
-
-
-
-def A234277():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*((4*x)+1))/((x-1)**5*(x+1)**4)))] }
-
-
-
-def A234279():
- x = SR.var('x')
- return { 'ogf': [(-((x-2)/(((16*x**2)-(32*x))+1)))] }
-
-
-
-def A234312():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((2*x**5)+(2*x**2))-1)))] }
-
-
-
-def A234319():
- x = SR.var('x')
- return { 'ogf': [((x*(((27*x**3)-(50*x**2))+(19*x)+3))/(x-1)**2)] }
-
-
-
-def A234576():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x**3+(3*x**2)+(3*x)+4))/((x**4+(3*x**3)+x**2+x)-1)))] }
-
-
-
-def A234589():
- x = SR.var('x')
- return { 'ogf': [((1+x**6+x**7)/(((1-(2*x))+x**6)-x**7-x**8))] }
-
-
-
-def A234590():
- x = SR.var('x')
- return { 'ogf': [(-((x**8+x**7+1)/((((x**9+x**8)-x**7)+(2*x))-1)))] }
-
-
-
-def A234591():
- x = SR.var('x')
- return { 'ogf': [(-((x**9+x**8+1)/((((x**10+x**9)-x**8)+(2*x))-1)))] }
-
-
-
-def A234592():
- x = SR.var('x')
- return { 'ogf': [(-((x**10+x**9+1)/((((x**11+x**10)-x**9)+(2*x))-1)))] }
-
-
-
-def A234597():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x**3+(5*x**2)+(6*x)+5))/((x**4+(3*x**3)+x**2+x)-1)))] }
-
-
-
-def A234598():
- x = SR.var('x')
- return { 'ogf': [((x**4*((2*x**3)+(8*x**2)+(9*x)+9))/(((-x**4)-(3*x**3)-x**2-x)+1))] }
-
-
-
-def A234717():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+(5*x)+1))/((1-x**2)*(1-x)**2))] }
-
-
-
-def A234833():
- x = SR.var('x')
- return { 'ogf': [((1-(24*x))/((1-(68*x))+(192*x**2)))] }
-
-
-
-def A234902():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**4)+(4*x**3)+(4*x**2)+(7*x)+2))/((1-x)*(1-x**5)))] }
-
-
-
-def A234904():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x+1)*((2*x)+1))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A234931():
- x = SR.var('x')
- return { 'ogf': [((((((((((((((4*x**20)+(4*x**18)+(8*x**16))-(3*x**14))+(4*x**13))-(5*x**12)-(2*x**11))+(3*x**10))-(2*x**9))+(6*x**8))-(2*x**7))+(2*x**6))-(2*x**5)-x**4)+(2*x))-1)/((((((((((-(8*x**22))-(28*x**20)-(6*x**18))+(8*x**17)+(26*x**16)+(4*x**15)+(7*x**14))-(8*x**13)-(9*x**12)-(14*x**11))+(7*x**10)+(2*x**9)+(8*x**8))-(2*x**7))+(2*x**6))-(6*x**5))+x**4+(2*x))-1))] }
-
-
-
-def A234933():
- x = SR.var('x')
- return { 'ogf': [((2*x**4)/(((1-(4*x))+(4*x**2)+x**3)-(2*x**4)))] }
-
-
-
-def A235088():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**2)+3))/((x-1)**3*(x+1))))] }
-
-
-
-def A235089():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x)+3))/((x-1)**2*(x+1)))] }
-
-
-
-def A235118():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/(1-(20*x)-(64*x**2)))] }
-
-
-
-def A235163():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((3*x**4)-(18*x**3)-(9*x**2))+(28*x))-9))/((((x**5-(6*x**4)-x**3)+(10*x**2))-(6*x))+1)))] }
-
-
-
-def A235269():
- x = SR.var('x')
- return { 'ogf': [(((((-x**10)+(2*x**9))-x**8)+(2*x**7)+x**5+x**3+x**2+x)/((1-x)**2*(1-x**9)))] }
-
-
-
-def A235332():
- x = SR.var('x')
- return { 'ogf': [(((6+(5*x))-(2*x**2))/(1-x)**3)] }
-
-
-
-def A235355():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+1)*(x**2+x+1))/((x-1)**4*(x+1)**3))] }
-
-
-
-def A235367():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((3*x**4)+(4*x**3)+(10*x**2)+(4*x)+3))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A235451():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(3*x**2))/((1-x**2-x**3)+x**5))] }
-
-
-
-def A235498():
- x = SR.var('x')
- return { 'ogf': [((x**9+x**8+x**7+x**6+x**5+x**4+(2*x**3)+x**2+x)/((x**10-x**9-x)+1))] }
-
-
-
-def A235499():
- x = SR.var('x')
- return { 'ogf': [((x**5+(6*x**4)+x**3+x**2+x)/((x**6-x**5-x)+1))] }
-
-
-
-def A235537():
- x = SR.var('x')
- return { 'ogf': [((((6+(13*x))-(8*x**2)-(8*x**3))+(6*x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A235583():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((x**22+(3*x**21)+(8*x**20)+(7*x**19)+x**18)-(2*x**17)-x**16)+(5*x**15)+(10*x**14)+(7*x**13))-x**12-(6*x**11)-x**10)+(7*x**9)+(10*x**8)+(5*x**7))-x**6-(2*x**5))+x**4+(7*x**3)+(8*x**2)+(3*x)+1))/((x+1)*(x**2+1)*(x**2+x+1)*((x**4-x**2)+1)*(x**4+1)*((x**8-x**4)+1)*(x-1)**2))] }
-
-
-
-def A235593():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(x**3+(3*x**2)+1))/(x-1)**7))] }
-
-
-
-def A235594():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(2+(5*x)+(6*x**3)+x**4))/(x-1)**9))] }
-
-
-
-def A235643():
- x = SR.var('x')
- return { 'ogf': [((4*x*((-(7*x))+4))/(((7*x**2)-(6*x))+1))] }
-
-
-
-def A235700():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**3)+(2*x**2)+1))/((x-1)**2*(x**2+1)))] }
-
-
-
-def A235701():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-(2*x**2)-x**3)**2/(((1-(7*x**2))+(14*x**4))-(7*x**6)))] }
-
-
-
-def A235702():
- x = SR.var('x')
- return { 'ogf': [(-((x*((19*x)+1))/((5*x)-1)))] }
-
-
-
-def A235789():
- x = SR.var('x')
- return { 'ogf': [((x*(((1-(2*x))+(8*x**5))-(8*x**6)))/(1-(4*x**4))**2)] }
-
-
-
-def A235944():
- x = SR.var('x')
- return { 'ogf': [(-((x**11+(9*x**10)+(7*x**9)+(4*x**8)+(4*x**7)+(9*x**6)+(4*x**5)+(4*x**4)+(7*x**3)+(9*x**2)+x+4)/(x**12-1)))] }
-
-
-
-def A235988():
- x = SR.var('x')
- return { 'ogf': [((3*x*(x**4+(4*x**3)+(8*x**2)+(4*x)+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A235996():
- x = SR.var('x')
- return { 'ogf': [(x**4/((1-(2*x))*(1-x-x**2)**2))] }
-
-
-
-def A236144():
- x = SR.var('x')
- return { 'ogf': [((2-x**2-x**3)/(1-x-x**3-x**4))] }
-
-
-
-def A236165():
- x = SR.var('x')
- return { 'ogf': [((1-x**2-x**3)/(1-x-x**3-x**4))] }
-
-
-
-def A236172():
- x = SR.var('x')
- return { 'ogf': [((((((((((-3)+x)-(2*x**2))+(2*x**3)+(2*x**4)+(8*x**6))-(4*x**7))+(4*x**8))-(8*x**9)-(2*x**11)-(2*x**12))+(2*x**13))-x**14)/(1+x**15))] }
-
-
-
-def A236191():
- x = SR.var('x')
- return { 'ogf': [(((x+x**2+(2*x**3)+x**4)-x**5)/((1+(4*x**3))-x**6))] }
-
-
-
-def A236203():
- x = SR.var('x')
- return { 'ogf': [((x**4*((3*x**2)-(2*x)-3))/((x-1)**3*(x+1)**2))] }
-
-
-
-def A236208():
- x = SR.var('x')
- return { 'ogf': [(((((((((((((((((((((((((((((x**36+x**35+(2*x**34))-(2*x**33))+(2*x**32)+x**31)-x**30)+(2*x**29))-(2*x**28))+(4*x**27))-x**26-x**25)+(6*x**24))-(6*x**23))+(4*x**22))-x**21)+x**20+(4*x**19))-(6*x**18))+(4*x**17)+x**16)-x**15)+(4*x**14))-(6*x**13))+(6*x**12))-x**11-x**10)+(4*x**9))-(2*x**8))+(2*x**7))-x**6)+x**5+(2*x**4))-(2*x**3))+(2*x**2)+x+1)*x)/((x+1)*(x**2+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+1)*((((x**8-x**6)+x**4)-x**2)+1)*((((x**16-x**12)+x**8)-x**4)+1)*(x-1)**2))] }
-
-
-
-def A236213():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((2-x)+(2*x**2))-(2*x**3)))/(1-x))] }
-
-
-
-def A236257():
- x = SR.var('x')
- return { 'ogf': [(-((((18*x**2)-(23*x))+9)/(x-1)**3))] }
-
-
-
-def A236267():
- x = SR.var('x')
- return { 'ogf': [(-(((6*x**2)+(9*x)+1)/(x-1)**3))] }
-
-
-
-def A236283():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**3)-(3*x**2))+(2*x)+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A236291():
- x = SR.var('x')
- return { 'ogf': [(((((1-x-(3*x**2))+(6*x**3))-(3*x**4)-(2*x**5)-(3*x**6))+x**7)/((1-(2*x))*(1-x**2)**3))] }
-
-
-
-def A236294():
- x = SR.var('x')
- return { 'ogf': [((((((1-x)+x**2)-x**4)+(2*x**5))-x**6)/((1-x)**2*(1-x**8)))] }
-
-
-
-def A236326():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**4)+(7*x**3)+(4*x**2)+(3*x)+3))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A236327():
- x = SR.var('x')
- return { 'ogf': [((x*((11*x**3)+(11*x**2)+(6*x)+2))/((x-1)**2*(x+1)*(x**2+1)))] }
-
-
-
-def A236332():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((4*x**4)-(12*x**3))+(8*x**2))-(5*x)-1))/((x-1)**4*(x+1))))] }
-
-
-
-def A236333():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((2*x**8)+(2*x**7))-(4*x**5)-(5*x**4))+x**3+(2*x**2)+(3*x)+1))/((x-1)**3*(x**2+x+1)**3)))] }
-
-
-
-def A236337():
- x = SR.var('x')
- return { 'ogf': [((2-x)/((1-x)**2*(1-x**3)))] }
-
-
-
-def A236340():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+x**2)-x**4)/(1-(2*x**2)-x**3))] }
-
-
-
-def A236343():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(2*x**2))-x**3)/((1-x)**2*(1-x**3)))] }
-
-
-
-def A236348():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(2*x**2)+x**3)/((1-x)*(1-x**3)))] }
-
-
-
-def A236364():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(3*x**3)+(7*x**2)+(3*x)+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A236370():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**4)+(8*x**3)+(15*x**2)+(7*x)+1))/((x-1)**4*(x+1)**2))] }
-
-
-
-def A236377():
- x = SR.var('x')
- return { 'ogf': [(((((1-(2*x))+(3*x**2)+(4*x**3)+(11*x**4))-(10*x**5))+(9*x**6))/((1+x)*(1+x**2)**2*(1-x)**4))] }
-
-
-
-def A236392():
- x = SR.var('x')
- return { 'ogf': [((x+x**3+x**4)/(1-x-x**3-(2*x**4)))] }
-
-
-
-def A236428():
- x = SR.var('x')
- return { 'ogf': [(((x**2-x)+1)/((x+1)*((x**2-(3*x))+1)))] }
-
-
-
-def A236453():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-(2*x**2))+(2*x**3))/((1-x)**3*(1+x)))] }
-
-
-
-def A236535():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)+(3*x)+2))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A236549():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((4*x**7)+(70*x**6))-(93*x**5)-(320*x**4))+(304*x**3)+(102*x**2))-(31*x)-4))/((x**2-(2*x)-1)*((x**2+(2*x))-1)*(((x**4+(20*x**3))-(25*x**2)-(8*x))+1))))] }
-
-
-
-def A236576():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/(((1-(6*x))+(3*x**2))-x**3))] }
-
-
-
-def A236579():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/((((-(6*x))+1+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A236580():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/((((-(7*x))+1+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A236581():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/((((-(8*x))+1+(6*x**2))-(4*x**3))+x**4))] }
-
-
-
-def A236583():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x)**2/(((x**3-x**4)+1)-(3*x)))] }
-
-
-
-def A236584():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((((-(4*x**3))+1)-(2*x))+x**2+(2*x**4)))] }
-
-
-
-def A236652():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**4)+x**3+(5*x**2)+(3*x)+1))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A236653():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**3)+(2*x**2)+(7*x)+1))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A236680():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x**2)+(4*x**5)))/((1-(2*x**2))*(1+(2*x**2))*((1-(2*x))+(2*x**2))))] }
-
-
-
-def A236770():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(7*x)+x**2))/(1-x)**5)] }
-
-
-
-def A236771():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(3*x)+(2*x**2))-(2*x**4)))/((1+x)*(1+x+x**2)*(1-x)**3))] }
-
-
-
-def A236773():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x)+x**2+(2*x**3)+(2*x**4)+(2*x**5)+x**7))/((1+x)*((1-x)+x**2)*(1+x+x**2)*(1-x)**4))] }
-
-
-
-def A237036():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((((((7*x**8)-(28*x**7))+(42*x**6))-(20*x**5)-(20*x**4))+(30*x**3))-(10*x**2)-3))/(x-1)**4))] }
-
-
-
-def A237128():
- x = SR.var('x')
- return { 'ogf': [((36*x*(x**2+(8*x)+1))/((x-1)**2*(x+1)))] }
-
-
-
-def A237132():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((3*x**2)+(7*x)+3))/((x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A237133():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((4*x**2)+(9*x)+4))/((x**2-x-1)*((x**2+x)-1))))] }
-
-
-
-def A237250():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x+2)*((2*x)+1))/((x**4-(4*x**2))+1)))] }
-
-
-
-def A237254():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**2+(3*x)+1))/((x**4-(5*x**2))+1)))] }
-
-
-
-def A237255():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x+2)*((2*x)+1))/((x**4-(5*x**2))+1)))] }
-
-
-
-def A237262():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**2+(3*x)+1))/((x**4-(8*x**2))+1)))] }
-
-
-
-def A237268():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**3-(3*x**2))+x)-1))/((x**2-(3*x))+1)))] }
-
-
-
-def A237341():
- x = SR.var('x')
- return { 'ogf': [(((((10*x**17)+(20*x**16)+(30*x**15)+(40*x**14))-(20*x**13)-(10*x**12))+(10*x**10)+(20*x**9)+(19*x**8)+(18*x**7)+(17*x**6)+(16*x**5)+(4*x**4)+(3*x**3)+(2*x**2)+x)/(((10*x**18)-(11*x**9))+1))] }
-
-
-
-def A237342():
- x = SR.var('x')
- return { 'ogf': [((((10*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2))+x)/(((10*x**2)-(11*x))+1))] }
-
-
-
-def A237343():
- x = SR.var('x')
- return { 'ogf': [((((20*x**7)-(9*x**6)-(9*x**5)-(9*x**4)-(9*x**3)-(9*x**2))+x)/(((10*x**2)-(11*x))+1))] }
-
-
-
-def A237344():
- x = SR.var('x')
- return { 'ogf': [((((10*x**17)-(20*x**16)-(10*x**15))+(10*x**13)+(20*x**12)+(30*x**11)+(40*x**10)+(50*x**9)+(49*x**8)+(7*x**7)+(6*x**6)+(5*x**5)+(4*x**4)+(3*x**3)+(2*x**2)+x)/(((10*x**18)-(11*x**9))+1))] }
-
-
-
-def A237345():
- x = SR.var('x')
- return { 'ogf': [(-(((((10*x**13)+(10*x**12)+(10*x**11)+(10*x**10)+(20*x**9))-(25*x**8)-(15*x**7)-(5*x**6))+(5*x**5)+(4*x**4)+(3*x**3)+(2*x**2)+x)/(((-(10*x**10))+(11*x**5))-1)))] }
-
-
-
-def A237346():
- x = SR.var('x')
- return { 'ogf': [(-(((10*x**18)-(10*x**16)-(20*x**15)-(30*x**14)-(40*x**13)-(50*x**12)-(60*x**11)-(70*x**10)-(9*x**9)-(8*x**8)-(7*x**7)-(6*x**6)-(5*x**5)-(4*x**4)-(3*x**3)-(2*x**2)-x)/(((10*x**18)-(11*x**9))+1)))] }
-
-
-
-def A237356():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))*((((-(120*x**3))+(122*x**2))-(24*x))+1))/((1-x)*(((((2640*x**4)-(2540*x**3))+(646*x**2))-(54*x))+1)))] }
-
-
-
-def A237357():
- x = SR.var('x')
- return { 'ogf': [((1-x)/(((-(22*x**2))-(7*x)-(36*x**3))+1))] }
-
-
-
-def A237415():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(6*x**2)+x**3+x**4))/((1-x)**2*(1+x+x**2+x**3+x**4)))] }
-
-
-
-def A237416():
- x = SR.var('x')
- return { 'ogf': [((5*x*(2+(4*x)+(6*x**2)+(8*x**3)+x**4+(8*x**5)+(6*x**6)+(4*x**7)+(2*x**8)))/(1-x**5)**2)] }
-
-
-
-def A237420():
- x = SR.var('x')
- return { 'ogf': [((2*x**2)/(1-x**2)**2)] }
-
-
-
-def A237516():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(4*x)+1)*(x**2+(6*x)+1))/(x-1)**5))] }
-
-
-
-def A237529():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**3*(((((2*x**6)-(11*x**5))+(21*x**4))-(14*x**3))+x**2+(34*x)+2))/(x-1)**9))] }
-
-
-
-def A237530():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**7-x**6-(2*x**5)-(15*x**4)-(13*x**3)-(16*x**2)-(10*x)-4))/((x-1)**7*(x+1)**3*(x**2+x+1)))] }
-
-
-
-def A237616():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(14*x)))/(1-x)**4)] }
-
-
-
-def A237617():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(16*x)))/(1-x)**4)] }
-
-
-
-def A237618():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(18*x)))/(1-x)**4)] }
-
-
-
-def A237654():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-(3*x))+x**2)*(1+x)**3))] }
-
-
-
-def A237655():
- x = SR.var('x')
- return { 'ogf': [((1+x)**7/((1-(3*x))+x**2))] }
-
-
-
-def A237664():
- x = SR.var('x')
- return { 'ogf': [((((6*x)-1)/sqrt((1-(4*x)))**3)-(1/(x-1)))] }
-
-
-
-def A237716():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x**2-(2*x**7)))] }
-
-
-
-def A237718():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-x**2-(2*x**9)))] }
-
-
-
-def A237930():
- x = SR.var('x')
- return { 'ogf': [((3-(2*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A237991():
- x = SR.var('x')
- return { 'ogf': [((1+(989*x)+(992*x**2))/(1-x)**3)] }
-
-
-
-def A237997():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1-x**3-x)*(x**4+1)))] }
-
-
-
-def A238055():
- x = SR.var('x')
- return { 'ogf': [((6-(5*x))/((1-x)*(1-(3*x))))] }
-
-
-
-def A238108():
- x = SR.var('x')
- return { 'ogf': [((((((((-1)+(34*x**3))-(47*x**4))+(26*x**5))-(8*x**6))+(7*x))-(21*x**2))/(x-1)**7)] }
-
-
-
-def A238111():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((x**2-(6*x))+1)))/x)] }
-
-
-
-def A238112():
- x = SR.var('x')
- return { 'ogf': [(((1-(5*x))+(2*x**2)+(((2*x)-1)*sqrt(((x**2-(6*x))+1))))/(4*x))] }
-
-
-
-def A238113():
- x = SR.var('x')
- return { 'ogf': [((3-(5*x)-(3*sqrt(((x**2-(6*x))+1))))/(4*x))] }
-
-
-
-def A238187():
- x = SR.var('x')
- return { 'ogf': [(-(((((10*x**3)-(20*x**2))+(15*x))-4)/((x-1)*((2*x)-1)*(((2*x**2)-(2*x))+1))))] }
-
-
-
-def A238236():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2)/((1-(3*x)-x**2)+(2*x**3)+x**4))] }
-
-
-
-def A238275():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*(1-(7*x))))] }
-
-
-
-def A238276():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*(1-(8*x))))] }
-
-
-
-def A238290():
- x = SR.var('x')
- return { 'ogf': [((2*x*(4+(3*x)))/((1-x)*(1-x**2)))] }
-
-
-
-def A238315():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((2*x**4)-(6*x**3))+(8*x**2))-x-1))/((x-1)**3*((2*x)-1)*((2*x)+1))))] }
-
-
-
-def A238328():
- x = SR.var('x')
- return { 'ogf': [((4*x*((4*x**6)+(15*x**5)+(23*x**4)+(28*x**3)+(18*x**2)+(7*x)+1))/((1-x)**5*(x**2+x+1)**2))] }
-
-
-
-def A238340():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((2*x**2)+x+1))/((x-1)**4*(x**2+x+1)))] }
-
-
-
-def A238361():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+x+x**2))/((1-x-x**2)*(1-x-x**2-x**3)))] }
-
-
-
-def A238366():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*(1-(5*x**2))))] }
-
-
-
-def A238374():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2))/((1-x**2-x**4)*(1-x)))] }
-
-
-
-def A238375():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(2*x**2)-x**4)*(1-x)))] }
-
-
-
-def A238379():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(36*x))+x**2))] }
-
-
-
-def A238383():
- x = SR.var('x')
- return { 'ogf': [(((1+x**4)*(1+x))/((1-x)*(1-x**2-x**6)))] }
-
-
-
-def A238419():
- x = SR.var('x')
- return { 'ogf': [(x/((x+1)**2*((x**2-(3*x))+1)**2))] }
-
-
-
-def A238420():
- x = SR.var('x')
- return { 'ogf': [((((4*x**3)-(7*x**2))+(4*x))/((x+1)**2*((x**2-(3*x))+1)**2))] }
-
-
-
-def A238438():
- x = SR.var('x')
- return { 'ogf': [((2*(1-x))/((1-(2*x))+x**3+sqrt(((((1-(4*x))+(4*x**2))-(2*x**3))+x**6))))] }
-
-
-
-def A238531():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)**2/(1-x)**3)] }
-
-
-
-def A238549():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+x+1))/((x-1)*((2*x**2)-1)))] }
-
-
-
-def A238604():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(2*x**2)+(2*x**3)+(10*x**4)+(2*x**5)+(2*x**6)+(2*x**7)+x**8))/((1-x)**3*(1-x**4)**2))] }
-
-
-
-def A238630():
- x = SR.var('x')
- return { 'ogf': [(((((9*x**3)+(12*x**2))-(10*x))+1)/((1-x)*(1-(3*x))*(1-(3**2*x))))] }
-
-
-
-def A238631():
- x = SR.var('x')
- return { 'ogf': [(-((((((2048*x**4)+(1460*x**3))-(1067*x**2))+(80*x))-1)/((1-x)*(1-(4*x))*(1-(4**2*x))*(1-(4**3*x)))))] }
-
-
-
-def A238702():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((2*x**2)+x+1))/((x-1)**5*(x**2+x+1))))] }
-
-
-
-def A238705():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*((2*x**2)+x+1))/((x-1)**3*(x**2+x+1))))] }
-
-
-
-def A238706():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x-2)*(x+1)*((2*x**2)+x+1))/((x-1)**5*(x**2+x+1)))] }
-
-
-
-def A238738():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(2*x**2))/((1-x)**3*(1+x+x**2)**2))] }
-
-
-
-def A238823():
- x = SR.var('x')
- return { 'ogf': [((x*(((2-(3*x)-(3*x**2))+(4*x**3)+(2*x**4)+x**5)-(3*x**6)))/((((1-(3*x))+(4*x**3))-x**4-x**5-(3*x**6))+x**7))] }
-
-
-
-def A238824():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((-1)+x+(2*x**2))-(2*x**3)-x**4)+x**6)-x**5))/((1+x)*((((x**7-(3*x**6)-x**5-x**4)+(4*x**3))-(3*x))+1))))] }
-
-
-
-def A238825():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x-1)*((x**3+x**2)-1))/((((1-(3*x))+(4*x**3))-x**4-x**5-(3*x**6))+x**7))] }
-
-
-
-def A238826():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*((x**3+x**2)-1)*(x-1)**2)/((((1-(3*x))+(4*x**3))-x**4-x**5-(3*x**6))+x**7)))] }
-
-
-
-def A238827():
- x = SR.var('x')
- return { 'ogf': [(-((x**7*((-1)+x**2+x**3))/((1+x)*((((x**7-(3*x**6)-x**5-x**4)+(4*x**3))-(3*x))+1))))] }
-
-
-
-def A238828():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1-(2*x**2))+(2*x**5)))/((1+x)*((((x**7-(3*x**6)-x**5-x**4)+(4*x**3))-(3*x))+1)))] }
-
-
-
-def A238829():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*((((2*x**5)+x**4+x**3)-(2*x**2)-x)+1))/((((1-(3*x))+(4*x**3))-x**4-x**5-(3*x**6))+x**7)))] }
-
-
-
-def A238830():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((1+x)-x**2)+x**5))/(((((x**7-(3*x**6)-x**5-x**4)+(4*x**3))-(3*x))+1)*(1+x)**2))] }
-
-
-
-def A238831():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*(x-1)*((2*x)+1)*(x**2+x+1))/((x+1)**2*((((x**7-(3*x**6)-x**5-x**4)+(4*x**3))-(3*x))+1))))] }
-
-
-
-def A238832():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((2*x**5)+(2*x**4)+x**3)-(2*x**2))+1))/((x+1)**2*((((x**7-(3*x**6)-x**5-x**4)+(4*x**3))-(3*x))+1)))] }
-
-
-
-def A238833():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((x**8+(2*x**7)+x**6)-(2*x**5)-(2*x**4)-x**3)+(3*x**2)+x)-1))/((x+1)**2*((((x**7-(3*x**6)-x**5-x**4)+(4*x**3))-(3*x))+1))))] }
-
-
-
-def A238913():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x+1))/(((x**2+x)-1)*((x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A238914():
- x = SR.var('x')
- return { 'ogf': [(((x**3-x-2)*x**4)/((x+1)*((((((x**6-x**5)+x**4)-(3*x**3))+(3*x**2))-(3*x))+1)*((x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A238915():
- x = SR.var('x')
- return { 'ogf': [((((((((x**12-x**9-x**8)+(2*x**7))-x**6)+(3*x**5))-(4*x**4)-(2*x**3))+x**2+(6*x)+4)*x**5)/((x+1)*((((((x**6-x**5)+x**4)-(3*x**3))+(3*x**2))-(3*x))+1)*(((x**16+x**15+(2*x**14)+x**13+x**12+(2*x**11)+x**10+(3*x**9))-(4*x**8)-(5*x**7)-(9*x**6)-(6*x**5)-x**4-x**3-(2*x**2)-x)+1)))] }
-
-
-
-def A238976():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)+1))/((1-x)*(1-(3*x))*(1-(9*x))))] }
-
-
-
-def A239035():
- x = SR.var('x')
- return { 'ogf': [((40320*x)/(1-x)**9)] }
-
-
-
-def A239056():
- x = SR.var('x')
- return { 'ogf': [((4*x*((2*x**6)+(10*x**5)+(16*x**4)+(22*x**3)+(15*x**2)+(6*x)+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A239057():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**2)+x+3)*((5*x**4)+(19*x**3)+(16*x**2)+(7*x)+1))/((x**2+x+1)**2*(x-1)**4))] }
-
-
-
-def A239059():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+x+2)*((2*x**4)-(3*x**3)-(4*x**2)-(2*x)-1))/((x-1)**4*(x**2+x+1)**2)))] }
-
-
-
-def A239065():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(144*x)+(1215*x**2)+(2320*x**3)+(1215*x**4)+(144*x**5)+x**6))/(x-1)**8)] }
-
-
-
-def A239075():
- x = SR.var('x')
- return { 'ogf': [(-((x-1)/((x**7-(2*x**4)-(2*x))+1)))] }
-
-
-
-def A239076():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(((((x**7-x**6)+(2*x**5))-x**4)+x**3+x)-1))/(((x**16+x**15+(2*x**14)+x**13+x**12+(2*x**11)+x**10+(3*x**9))-(4*x**8)-(5*x**7)-(9*x**6)-(6*x**5)-x**4-x**3-(2*x**2)-x)+1)))] }
-
-
-
-def A239077():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((x**22+(2*x**17))-(10*x**12)-(2*x**11))+(2*x**10))-(2*x**9)-(2*x**8))+(6*x**7)+(4*x**6))-(2*x**5))+(2*x**4)+(2*x**3)+(2*x**2))-1)/(((((((((((x**32+x**31+x**30)-x**29-x**28)+(7*x**27)+(5*x**26)+x**25)-(5*x**24)-(3*x**23)-x**22-(8*x**21)-(16*x**20))+(8*x**18))-(40*x**17)-(36*x**16))+(20*x**14)+(12*x**13)+(64*x**12)+(52*x**11)+(19*x**10))-(5*x**9)-(13*x**8)-(27*x**7)-(19*x**6))+x**5)-x**4-x**3-(3*x**2)-x)+1)))] }
-
-
-
-def A239094():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**6+(120*x**5)+(1191*x**4)+(2416*x**3)+(1191*x**2)+(120*x)+1))/(x-1)**10)] }
-
-
-
-def A239096():
- x = SR.var('x')
- return { 'ogf': [((8*x**3*(2+(7*x)+(18*x**2)+(7*x**3)+(2*x**4)))/(1-x)**10)] }
-
-
-
-def A239125():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((512*x**10)-(512*x**9))+(32*x**6))-(16*x**5))+(4*x**3))-(2*x**2))+(2*x))-1)/((x-1)*((2*x)-1)*((2*x)+1)*(((4*x**2)-(2*x))+1)*(((64*x**6)-(8*x**3))+1))))] }
-
-
-
-def A239140():
- x = SR.var('x')
- return { 'ogf': [(-(((x**6+x**5+x**4+(2*x**3)+(3*x**2)+(2*x)+1)*x)/((x-1)*(x+1)*(x**2+x+1))))] }
-
-
-
-def A239141():
- x = SR.var('x')
- return { 'ogf': [(-(((x**5+x**4+x**3+(2*x**2)+x+1)*x)/((x-1)*(x**2+x+1))))] }
-
-
-
-def A239186():
- x = SR.var('x')
- return { 'ogf': [((x*((10*x**6)+(39*x**5)+(61*x**4)+(76*x**3)+(49*x**2)+(19*x)+2))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A239195():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**5)+(5*x**4)+(11*x**3)+(8*x**2)+(3*x)+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A239229():
- x = SR.var('x')
- return { 'ogf': [((2*(1-(2*x)))/(1-x)**2)] }
-
-
-
-def A239265():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+(8*x))-1)/((((3*x**3)+(21*x**2))-(13*x))+1)))] }
-
-
-
-def A239266():
- x = SR.var('x')
- return { 'ogf': [(-(((x-1)*(((x**3-x**2)+(5*x))-1))/((((((5*x**6)-(11*x**5))+(30*x**4))-(30*x**3)-(2*x**2))+(7*x))-1)))] }
-
-
-
-def A239267():
- x = SR.var('x')
- return { 'ogf': [(-((((((((2048*x**7)-(7680*x**6)-(25472*x**5))+(42048*x**4))-(18928*x**3))+(2912*x**2))-(124*x))+1)/((((((((16384*x**8)-(58112*x**7)-(180608*x**6))+(352480*x**5))-(201552*x**4))+(46976*x**3))-(4394*x**2))+(145*x))-1)))] }
-
-
-
-def A239268():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((((45*x**18)+(330*x**17))-(3649*x**16))+(872*x**15)+(13497*x**14))-(31638*x**13))+(33844*x**12)+(87562*x**11))-(231307*x**10)-(22714*x**9))+(206771*x**8))-(57002*x**7)-(8736*x**6))+(7970*x**5))-(2193*x**4)-(364*x**3))+(145*x**2)+(10*x))-1)/((((((((((((((585*x**20)+(4335*x**19))-(47413*x**18))+(4273*x**17)+(187195*x**16))-(352817*x**15))+(385178*x**14)+(1070602*x**13))-(2911442*x**12)-(370773*x**11))+(2929813*x**10))-(729299*x**9)-(407618*x**8))+(200422*x**7))-(19642*x**6)-(15983*x**5))+(4787*x**4)+(563*x**3))-(177*x**2)-(11*x))+1)))] }
-
-
-
-def A239284():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(14*x)-(15*x**2)))] }
-
-
-
-def A239285():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(13*x)-(30*x**2)))] }
-
-
-
-def A239288():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+x+1)*(((x**5-(2*x**4))+(2*x**3))-x**2-1))/((x-1)*((3*x**3)-1))))] }
-
-
-
-def A239294():
- x = SR.var('x')
- return { 'ogf': [(x/((1-(15*x))*(1+(3*x))))] }
-
-
-
-def A239325():
- x = SR.var('x')
- return { 'ogf': [(((1+(12*x))-x**2)/(1-x)**3)] }
-
-
-
-def A239342():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**2)**2)/(1-x-x**2)**2)] }
-
-
-
-def A239352():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+(7*x))-(2*x**2)))/(1-x)**5)] }
-
-
-
-def A239364():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x-19))/((x**2-(38*x))+1)))] }
-
-
-
-def A239365():
- x = SR.var('x')
- return { 'ogf': [((12*x)/((x**2-(38*x))+1))] }
-
-
-
-def A239367():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((7*x**2)+(2*x))-1))/((x-1)**3*((4*x)-1))))] }
-
-
-
-def A239426():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(2*x))-(128*x**2)-(286*x**3)-(91*x**4))/(x-1)**5)] }
-
-
-
-def A239438():
- x = SR.var('x')
- return { 'ogf': [((x*(((((((((x**9-(2*x**8))+(2*x**7))-(3*x**6))+(3*x**5))-(2*x**4))+(2*x**3))-(2*x**2))+x)-1))/((x-1)**3*(x**2+x+1)))] }
-
-
-
-def A239449():
- x = SR.var('x')
- return { 'ogf': [(((-1)-(13*x**2))/(x-1)**3)] }
-
-
-
-def A239450():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x)*(3-x))/((1-x)*((1-(14*x))+x**2)))] }
-
-
-
-def A239487():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((((((((((((4*x**24)-(4*x**23)-(4*x**22))+(4*x**21)+(8*x**20))-(8*x**19)-(8*x**18))+(8*x**17)+(16*x**12))-(16*x**11)-(16*x**10))+(16*x**9)+(8*x**8))-(8*x**7)-(4*x**6))+(4*x**5))-(4*x**4))+(4*x**3))-(4*x**2))+(3*x)+3))/((x-1)**2*(x+1)))] }
-
-
-
-def A239492():
- x = SR.var('x')
- return { 'ogf': [(((2*x**5)+x**4+x**3+(2*x**2))/((1-x)*(1-x**5)))] }
-
-
-
-def A239549():
- x = SR.var('x')
- return { 'ogf': [(x/(1-(8*x)-(12*x**2)))] }
-
-
-
-def A239568():
- x = SR.var('x')
- return { 'ogf': [((3*x**3*(x-2))/(x-1)**5)] }
-
-
-
-def A239569():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((11*x**4)-(36*x**3))+(25*x**2)+(14*x)+1))/(x-1)**7))] }
-
-
-
-def A239570():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((38*x**6)-(156*x**5))+(153*x**4)+(113*x**3))-(147*x**2)-(105*x)-1))/(x-1)**9)] }
-
-
-
-def A239571():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**5*(((((40*x**8)-(185*x**7))+(198*x**6)+(213*x**5))-(243*x**4)-(638*x**3))+(687*x**2)+(234*x)+9))/(x-1)**11))] }
-
-
-
-def A239573():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((2*x**9)+x**8)-(8*x**7)-(9*x**6))+(3*x**5)+(29*x**4)+(24*x**3)+(14*x**2)+(3*x)+1))/((x-1)**7*(x+1)**3*(x**2+x+1))))] }
-
-
-
-def A239574():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((-1)-(22*x)-(149*x**2)-(586*x**3)-(1354*x**4)-(2154*x**5)-(2300*x**6)-(1510*x**7)-(259*x**8))+(470*x**9)+(443*x**10)+(70*x**11))-(130*x**12)-(94*x**13)-(10*x**14))+(18*x**15)+(8*x**16)))/(((-1)+x)**9*(1+x)**4*(1+x+x**2)**3))] }
-
-
-
-def A239575():
- x = SR.var('x')
- return { 'ogf': [(x**2*((-19)-(((((((((19-(114*x))+(190*x**2)+(197*x**3))-(816*x**4))+(1636*x**5)+(3793*x**6)+(965*x**7)+(216*x**8)+(194*x**9))-(2278*x**10))+(53*x**11)+(1547*x**12))-(336*x**13)-(351*x**14))+(125*x**15))/(((-1)+x)**11*(1+x)**5))))] }
-
-
-
-def A239576():
- x = SR.var('x')
- return { 'ogf': [((-x**2)-((x**2*((((((1-x)+(51*x**2)+(454*x**3)+(1374*x**4)+(2527*x**5)+(1990*x**6)+(634*x**7))-(347*x**8)-(49*x**9))+(87*x**10)+(16*x**11))-(20*x**12))+(3*x**13)))/(((-1)+x)**9*(1+x)**5)))] }
-
-
-
-def A239577():
- x = SR.var('x')
- return { 'ogf': [(1/((x-1)*((3*x)-1)*((3*x**2)+1)))] }
-
-
-
-def A239592():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(8*x**2)+x**3+(4*x**4))/(1-x)**5)] }
-
-
-
-def A239607():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+(44*x**3)+(54*x**2))-(4*x))+1)/(x-1)**5))] }
-
-
-
-def A239608():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)*(x**4+(668*x**3)+(4422*x**2)+(668*x)+1))/(x-1)**7))] }
-
-
-
-def A239609():
- x = SR.var('x')
- return { 'ogf': [(-((((x**8+(9400*x**7)+(248284*x**6)+(1032520*x**5)+(1032646*x**4)+(248200*x**3)+(9436*x**2))-(8*x))+1)/(x-1)**9))] }
-
-
-
-def A239610():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*(x**8+(131032*x**7)+(9737308*x**6)+(101797864*x**5)+(241153990*x**4)+(101797864*x**3)+(9737308*x**2)+(131032*x)+1))/(x-1)**11))] }
-
-
-
-def A239632():
- x = SR.var('x')
- return { 'ogf': [(((x+(3*x**2))-(2*x**4))/(1-(2*x**2))**2)] }
-
-
-
-def A239667():
- x = SR.var('x')
- return { 'ogf': [(-((x*((9*x**6)+(32*x**5)+(50*x**4)+(58*x**3)+(36*x**2)+(14*x)+1))/((x-1)**5*(x**2+x+1)**2)))] }
-
-
-
-def A239670():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*(1-(81*x))))] }
-
-
-
-def A239678():
- x = SR.var('x')
- return { 'ogf': [(((((4*x**4)+(3*x**3))-(4*x**2)-(5*x))+3)/((x-1)*((2*x)-1)))] }
-
-
-
-def A239679():
- x = SR.var('x')
- return { 'ogf': [(-((((38*x**2)-(36*x))+7)/((x-1)*((2*x)-1)*((4*x)-1))))] }
-
-
-
-def A239688():
- x = SR.var('x')
- return { 'ogf': [(-(((((((8*x**10)+(17*x**9))-(38*x**8)-(60*x**7))+(74*x**6)+(55*x**5))-(56*x**4)-(10*x**3))+(6*x**2)+(2*x))/((((((((4*x**12)-(20*x**11)-(71*x**10))+(116*x**9)+(197*x**8))-(268*x**7)-(129*x**6))+(252*x**5))-(31*x**4)-(80*x**3))+(26*x**2)+(8*x))-1)))] }
-
-
-
-def A239739():
- x = SR.var('x')
- return { 'ogf': [((64*x)/(1-(16*x))**2)] }
-
-
-
-def A239745():
- x = SR.var('x')
- return { 'ogf': [((x*((9-(20*x))+(10*x**2)))/((1-(2*x))*(1-x)**3))] }
-
-
-
-def A239767():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3+(3*x**2)+(5*x)+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A239791():
- x = SR.var('x')
- return { 'ogf': [((1+x**2)/(1-(((2*x**5)/(1-x))+x+x**4+(2*x**3))))] }
-
-
-
-def A239794():
- x = SR.var('x')
- return { 'ogf': [(-((x*((6-(31*x))+(15*x**2)))/(1-x)**3))] }
-
-
-
-def A239796():
- x = SR.var('x')
- return { 'ogf': [(-((x*((6-(35*x))+(15*x**2)))/(1-x)**3))] }
-
-
-
-def A239905():
- x = SR.var('x')
- return { 'ogf': [((x*(((((x**12-x**11)+x**9)-x**8)+x**4)-x**3-x**2-x-1))/((x**12+(2*x**4))-1))] }
-
-
-
-def A239909():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**3))/((x**4-x**3-x**2-x)+1))] }
-
-
-
-def A240022():
- x = SR.var('x')
- return { 'ogf': [((2*x*((50*x**4)+(35*x**2)+(9*x)+5))/((10*x**2)-1)**2)] }
-
-
-
-def A240115():
- x = SR.var('x')
- return { 'ogf': [((x**4*((x**15-x**13-x**12)+(2*x**10)+x**7+x**5+(2*x)+1))/((((((-x**16)+x**15+x**13)-x**12)+x**4)-x**3-x)+1))] }
-
-
-
-def A240116():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((x**24-x**21-x**20)+(2*x**17)+x**14+x**12)-x**10)+(2*x**9)+x**6)-x**4)+x**3+(2*x)+1))/((((((-x**25)+x**24+x**21)-x**20)+x**5)-x**4-x)+1))] }
-
-
-
-def A240117():
- x = SR.var('x')
- return { 'ogf': [((x**6*((((((((x**35-x**31-x**30)+(2*x**26)+x**23+x**20)-x**18)+x**17+x**16+x**13)-x**12)+(2*x**11)+x**7)-x**5)+x**4+(2*x)+1))/((((((-x**36)+x**35+x**31)-x**30)+x**6)-x**5-x)+1))] }
-
-
-
-def A240134():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4-(4*x)-1))/((x-1)**3*(x+1)**3))] }
-
-
-
-def A240137():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(30*x)+(51*x**2)+(8*x**3)))/(1-x)**5)] }
-
-
-
-def A240434():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(x-1))/((2*x)-1)**4))] }
-
-
-
-def A240437():
- x = SR.var('x')
- return { 'ogf': [((20*x)/((1-(5*x)-(5*x**2))+(25*x**3)))] }
-
-
-
-def A240438():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x+1)*((2*x)+1))/((x-1)**3*(x**2+x+1))))] }
-
-
-
-def A240440():
- x = SR.var('x')
- return { 'ogf': [((15*x**3)/(1-x)**7)] }
-
-
-
-def A240441():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**3*(x**4+(31*x**3)+(76*x**2)+(31*x)+1))/((x-1)**9*(x+1)**2)))] }
-
-
-
-def A240445():
- x = SR.var('x')
- return { 'ogf': [(-((48*x**3*(x+1)*((2*x**4)+(62*x**3)+(187*x**2)+(62*x)+2))/(x-1)**11))] }
-
-
-
-def A240506():
- x = SR.var('x')
- return { 'ogf': [(-((((6*x**3)-(3*x))+1)/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A240525():
- x = SR.var('x')
- return { 'ogf': [((5-x-(28*x**2))/((1-(4*x)-(4*x**2))+(16*x**3)))] }
-
-
-
-def A240526():
- x = SR.var('x')
- return { 'ogf': [((7-(5*x)-(44*x**2))/((1-(4*x)-(4*x**2))+(16*x**3)))] }
-
-
-
-def A240530():
- x = SR.var('x')
- return { 'ogf': [(4/sqrt((1-(4*x))))] }
-
-
-
-def A240607():
- x = SR.var('x')
- return { 'ogf': [(-(x**3/((x**4+x**3+(2*x**2))-1)))] }
-
-
-
-def A240707():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(3*x)+1)*((3*x**4)+(3*x**3)+(6*x**2)+(3*x)+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A240711():
- x = SR.var('x')
- return { 'ogf': [((x*((7*x**6)+(27*x**5)+(43*x**4)+(52*x**3)+(33*x**2)+(13*x)+1))/((x-1)**4*(x**2+x+1)**2))] }
-
-
-
-def A240806():
- x = SR.var('x')
- return { 'ogf': [(1/(-((1-x)**6*(x+1)**5*(((9*x**3)+(2*x))-1))))] }
-
-
-
-def A240826():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((35*x**4)+(724*x**3)+(1722*x**2)+(724*x)+35))/(x-1)**7))] }
-
-
-
-def A240828():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(1+x+x**2))/((1-x)**2*(1+x)**2*(1+x**2)))] }
-
-
-
-def A240836():
- x = SR.var('x')
- return { 'ogf': [((2*x*((2*x)-1))/((x-1)*((x**2-(7*x))+1)))] }
-
-
-
-def A240846():
- x = SR.var('x')
- return { 'ogf': [((x*((12*x)+1))/((x-1)*((12*x)-1)))] }
-
-
-
-def A240847():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((2*x)-1))/((x**2+x)-1)**2))] }
-
-
-
-def A240876():
- x = SR.var('x')
- return { 'ogf': [((1+x)**11/(1-x)**12)] }
-
-
-
-def A240880():
- x = SR.var('x')
- return { 'ogf': [(((-1)+sqrt((1+(12*x)+(48*x**2))))/(6*x)),
-(((-1)+sqrt((1+(12*x)+(48*x**2))))/(6*x))] }
-
-
-
-def A240881():
- x = SR.var('x')
- return { 'ogf': [(((1+x+x**2)-sqrt(((((1-(10*x))+(3*x**2))-(10*x**3))+x**4)))/(6*x*(1+x**2)))] }
-
-
-
-def A240916():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((2*x**2)-(3*x))+3))/((x-1)*((2*x)-1)*((6*x)-1))))] }
-
-
-
-def A240917():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((3*x)+5))/((x-1)*((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A240926():
- x = SR.var('x')
- return { 'ogf': [(-((((5*x**2)-(11*x))+4)/((x-1)*((x**2-(3*x))+1))))] }
-
-
-
-def A240930():
- x = SR.var('x')
- return { 'ogf': [((2*((32*x**2)+(473*x**3)+(1208*x**4)+(718*x**5)+(88*x**6)+x**7))/(x-1)**8)] }
-
-
-
-def A240931():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x**6+(183*x**5)+(2682*x**4)+(8422*x**3)+(7197*x**2)+(1611*x)+64))/(x-1)**9))] }
-
-
-
-def A240932():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x**7+(374*x**6)+(9327*x**5)+(49780*x**4)+(78095*x**3)+(38454*x**2)+(5281*x)+128))/(x-1)**10)] }
-
-
-
-def A240933():
- x = SR.var('x')
- return { 'ogf': [((2*((256*x**2)+(16867*x**3)+(190783*x**4)+(621199*x**5)+(689155*x**6)+(264409*x**7)+(30973*x**8)+(757*x**9)+x**10))/(1-x)**11)] }
-
-
-
-def A241029():
- x = SR.var('x')
- return { 'ogf': [((2*(((2-(54*x))+(343*x**2))-(396*x**3)))/((1-x)*(1-(2*x))*(1-(11*x))*(1-(22*x))))] }
-
-
-
-def A241030():
- x = SR.var('x')
- return { 'ogf': [((2*(((2-(63*x))+(457*x**2))-(546*x**3)))/((1-x)*(1-(2*x))*(1-(13*x))*(1-(26*x))))] }
-
-
-
-def A241031():
- x = SR.var('x')
- return { 'ogf': [((2*(((((3-(140*x))+(2086*x**2))-(12360*x**3))+(29204*x**4))-(21952*x**5)))/((1-x)*(1-(2*x))*(1-(4*x))*(1-(7*x))*(1-(14*x))*(1-(28*x))))] }
-
-
-
-def A241032():
- x = SR.var('x')
- return { 'ogf': [((((((((8-(504*x))+(11652*x**2))-(129960*x**3))+(760324*x**4))-(2339280*x**5))+(3495600*x**6))-(1944000*x**7))/((1-x)*(1-(2*x))*(1-(3*x))*(1-(5*x))*(1-(6*x))*(1-(10*x))*(1-(15*x))*(1-(30*x))))] }
-
-
-
-def A241038():
- x = SR.var('x')
- return { 'ogf': [(-((x*((15*x)+1))/((x-1)*((3*x)-1)*((9*x)-1))))] }
-
-
-
-def A241084():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**6)+(17*x**5)+(25*x**4)+(30*x**3)+(19*x**2)+(7*x)+1))/((x-1)**5*(x**2+x+1)**2)))] }
-
-
-
-def A241170():
- x = SR.var('x')
- return { 'ogf': [((x**3*((6-(5*x))+(2*x**2)))/(1-x)**5)] }
-
-
-
-def A241199():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((6*x**4)-(3*x**3)-(16*x**2))+(5*x)+14))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A241200():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2-2)*(x**2+x+1))/((x-1)**3*(x+1)**2))] }
-
-
-
-def A241217():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(3*x))-(2*x**2))+(7*x**3)))/((x-1)*((10*x)-1)*(x+1)*((x**2-x)+1)))] }
-
-
-
-def A241219():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*((7*x**2)+(22*x)+7))/(x-1)**5))] }
-
-
-
-def A241271():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**3)/((x-1)*((2*x)-1)*((6*x)-1))))] }
-
-
-
-def A241275():
- x = SR.var('x')
- return { 'ogf': [(-((5*x**2)/((x-1)*((2*x)-1)*((6*x)-1))))] }
-
-
-
-def A241290():
- x = SR.var('x')
- return { 'ogf': [((x*((((128*x**3)-(99*x**2))+(45*x))-9))/(x-1)**5)] }
-
-
-
-def A241406():
- x = SR.var('x')
- return { 'ogf': [((x*(11+(39*x)+(11*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A241407():
- x = SR.var('x')
- return { 'ogf': [((x*(27+(19*x)+(27*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A241452():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((x**3-(5*x**2))+(4*x))-6))/(x-1)**5)] }
-
-
-
-def A241496():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+x**2)/(1-x**2)**3)] }
-
-
-
-def A241520():
- x = SR.var('x')
- return { 'ogf': [((x*(34+(21*x)+(34*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A241521():
- x = SR.var('x')
- return { 'ogf': [((x*(22+(53*x)+(22*x**2)))/((1+x)*(1-x)**2))] }
-
-
-
-def A241526():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+x+2))/((x-1)**4*(x**2+x+1)))] }
-
-
-
-def A241527():
- x = SR.var('x')
- return { 'ogf': [(((((x**4+(18*x**3))-(10*x**2))+(4*x))-1)/((x-1)**4*((3*x)-1)))] }
-
-
-
-def A241574():
- x = SR.var('x')
- return { 'ogf': [(((((((1-(5*x))+(9*x**2))-(5*x**3)-(2*x**4))+(6*x**5))-(6*x**6))+(6*x**7))/((((1-(8*x))+(24*x**2))-(32*x**3))+(16*x**4)))] }
-
-
-
-def A241577():
- x = SR.var('x')
- return { 'ogf': [((((1-(3*x))+(17*x**2))-(9*x**3))/(1-x)**4)] }
-
-
-
-def A241592():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((((1-x)+x**2)-(2*x**4))+(4*x**5))-(2*x**6)))/((1-x)**2*(1-x**8)))] }
-
-
-
-def A241682():
- x = SR.var('x')
- return { 'ogf': [((2*x*((((12*x**4)-(12*x**3))+x**2+(4*x))-1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)*((4*x)-1)))] }
-
-
-
-def A241683():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((4*x**2)-(2*x)-1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)*((4*x)-1)))] }
-
-
-
-def A241684():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**2*(((8*x**3)-(5*x**2)-(2*x))+1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A241685():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((4*x**3)-(4*x**2)-(2*x))+1))/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A241688():
- x = SR.var('x')
- return { 'ogf': [((2*x**7*(1+(3*x)+(3*x**2)+(5*x**3)))/((1-x)**5*(1+x)**2*(1+x**2)*(1+x+x**2)))] }
-
-
-
-def A241748():
- x = SR.var('x')
- return { 'ogf': [(((12-(23*x))+(13*x**2))/(1-x)**3)] }
-
-
-
-def A241749():
- x = SR.var('x')
- return { 'ogf': [(((13-(25*x))+(14*x**2))/(1-x)**3)] }
-
-
-
-def A241750():
- x = SR.var('x')
- return { 'ogf': [(((15-(29*x))+(16*x**2))/(1-x)**3)] }
-
-
-
-def A241751():
- x = SR.var('x')
- return { 'ogf': [(((16-(31*x))+(17*x**2))/(1-x)**3)] }
-
-
-
-def A241765():
- x = SR.var('x')
- return { 'ogf': [((x*(5-(2*x)))/(1-x)**5)] }
-
-
-
-def A241847():
- x = SR.var('x')
- return { 'ogf': [(((17-(33*x))+(18*x**2))/(1-x)**3)] }
-
-
-
-def A241848():
- x = SR.var('x')
- return { 'ogf': [(((18-(35*x))+(19*x**2))/(1-x)**3)] }
-
-
-
-def A241849():
- x = SR.var('x')
- return { 'ogf': [(((19-(37*x))+(20*x**2))/(1-x)**3)] }
-
-
-
-def A241850():
- x = SR.var('x')
- return { 'ogf': [(((20-(39*x))+(21*x**2))/(1-x)**3)] }
-
-
-
-def A241851():
- x = SR.var('x')
- return { 'ogf': [(((21-(41*x))+(22*x**2))/(1-x)**3)] }
-
-
-
-def A241872():
- x = SR.var('x')
- return { 'ogf': [(-(((((12*x**2)-(15*x))+4)*x**5)/(((4*x)-1)*(x-1)*((3*x)-1)**2*((2*x)-1)**3)))] }
-
-
-
-def A241873():
- x = SR.var('x')
- return { 'ogf': [(-((((((((912*x**6)-(2440*x**5))+(2481*x**4))-(1177*x**3))+(253*x**2))-(16*x)-1)*x**6)/(((5*x)-1)*((4*x)-1)**2*(x-1)**2*((3*x)-1)**3*((2*x)-1)**4)))] }
-
-
-
-def A241874():
- x = SR.var('x')
- return { 'ogf': [(-((((((((((((466560*x**10)-(1981728*x**9))+(3631752*x**8))-(3741230*x**7))+(2365035*x**6))-(936340*x**5))+(223475*x**4))-(27090*x**3))+(174*x**2)+(330*x))-26)*x**8)/(((6*x)-1)*((5*x)-1)**2*((4*x)-1)**3*(x-1)**3*((3*x)-1)**4*((2*x)-1)**5)))] }
-
-
-
-def A241888():
- x = SR.var('x')
- return { 'ogf': [(((14*x)+1)/((x-1)*((16*x)-1)))] }
-
-
-
-def A241889():
- x = SR.var('x')
- return { 'ogf': [(((23-(45*x))+(24*x**2))/(1-x)**3)] }
-
-
-
-def A241890():
- x = SR.var('x')
- return { 'ogf': [(((24-(47*x))+(25*x**2))/(1-x)**3)] }
-
-
-
-def A241891():
- x = SR.var('x')
- return { 'ogf': [(-(((((24*x**5)+(12*x**4)+(2*x**3))-(9*x**2)-(2*x))+1)/((x-1)*(x+1)*((2*x)-1)*((2*x)+1)*((4*x)-1))))] }
-
-
-
-def A241892():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((1-(2*x))+(8*x**3)))/((x-1)*((4*x)-1)*((2*x)+1)*((2*x)-1)*(1+x))))] }
-
-
-
-def A241893():
- x = SR.var('x')
- return { 'ogf': [((4*x**3*((-2)+x+(8*x**2)))/((x-1)*((4*x)-1)*((2*x)+1)*((2*x)-1)*(1+x)))] }
-
-
-
-def A241894():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(2*x)+(8*x**2))-(8*x**3)-(8*x**4))/((x-1)*((4*x)-1)*(1+(2*x))*((2*x)-1)*(1+x)))] }
-
-
-
-def A241929():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+x+1)*(x**4+x**3+(6*x**2)+x+1))/(x-1)**8)] }
-
-
-
-def A241955():
- x = SR.var('x')
- return { 'ogf': [(((8*x)+7)/((x-1)*((16*x)-1)))] }
-
-
-
-def A241976():
- x = SR.var('x')
- return { 'ogf': [((3*x**2*(x-3))/((x-1)*((x**2-(6*x))+1)))] }
-
-
-
-def A242026():
- x = SR.var('x')
- return { 'ogf': [((12*x**2)/(((2*x)-1)*((2*x)+1)*((4*x)-1)))] }
-
-
-
-def A242062():
- x = SR.var('x')
- return { 'ogf': [((x*((((1-x)+x**3)-x**5)+x**6))/((1-x-x**7)+x**8)),
-(x/(1-(x**3/(1-(x/(1+(x/(1-(x**5/(1-(x/(1+(x**2/(1-x**2))))))))))))))] }
-
-
-
-def A242073():
- x = SR.var('x')
- return { 'ogf': [((((1-x-x**2-(2*x**3))+x**4)-x**5)/(1+x**6))] }
-
-
-
-def A242112():
- x = SR.var('x')
- return { 'ogf': [((1+x+x**2+x**3+x**4)/((1-x**2-x**6)+x**8))] }
-
-
-
-def A242135():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1-(8*x))+x**2))/(1-x)**4))] }
-
-
-
-def A242167():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**10*((((((((((((((2*x**23)+(5*x**22)+(9*x**21)+(12*x**20)+(14*x**19))-(13*x**17)-(19*x**16)-(41*x**15)-(6*x**14)-(18*x**13))+(33*x**12)+(32*x**11))-(6*x**10))+(91*x**9))-(111*x**8))+(32*x**7))-(8*x**6)-(61*x**5))+(107*x**4))-(95*x**3))+(77*x**2))-(40*x))+8))/(((2*x)-1)*(x+1)*(x**2+1)*((x**2+x)-1)*(((x**3-x**2)+(2*x))-1)*((x**3+x**2)-1)*((x**3+x**2+x)-1)*((x**4+x)-1)*((x**4+x**3)-1)*((x**3+x)-1)*(x-1)**3)))] }
-
-
-
-def A242206():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**5*((-2)+x+(2*x**2)))/(((2*x)-1)*((x**2+x)-1)*(x-1)**2)))] }
-
-
-
-def A242215():
- x = SR.var('x')
- return { 'ogf': [((5+(13*x))/(1-x)**2)] }
-
-
-
-def A242278():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(3*x)-(3*x**2))+(9*x**3)))] }
-
-
-
-def A242279():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+(19*x)+(161*x**2)+(697*x**3)+(1446*x**4)+(2070*x**5)+(1422*x**6)+(766*x**7)+(105*x**8)+(31*x**9)+x**10+x**11))/((1-x)**9*(1+x)**5))] }
-
-
-
-def A242300():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3+(5*x**2))-(3*x)-2))/((x-1)*(x+1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A242328():
- x = SR.var('x')
- return { 'ogf': [((3-(11*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A242329():
- x = SR.var('x')
- return { 'ogf': [((5-(21*x))/((1-x)*(1-(5*x))))] }
-
-
-
-def A242358():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((-23)-(452*x)-(4071*x**2)-(16016*x**3)-(40397*x**4)-(59335*x**5)-(61954*x**6)-(38236*x**7)-(17221*x**8)-(3614*x**9)-(623*x**10))+(20*x**11)+x**12+x**13))/((x-1)**11*(x+1)**6))] }
-
-
-
-def A242371():
- x = SR.var('x')
- return { 'ogf': [(-((4*x**3*(((3+(5*x))-(4*x**2)-(2*x**3))+(2*x**4)))/((x+1)**2*(x-1)**3)))] }
-
-
-
-def A242412():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((15*x**2)-(22*x))+15))/(x-1)**3))] }
-
-
-
-def A242436():
- x = SR.var('x')
- return { 'ogf': [((((-x)+(34*x**2)+(54*x**3)+(34*x**4))-x**5)/(x-1)**6)] }
-
-
-
-def A242452():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*(1+x+x**2))/(1-x-(2*x**2)-(4*x**3)-(3*x**4)-(2*x**5)))] }
-
-
-
-def A242475():
- x = SR.var('x')
- return { 'ogf': [((9-(17*x))/((1-x)*(1-(2*x))))] }
-
-
-
-def A242477():
- x = SR.var('x')
- return { 'ogf': [((3*x**2)/((1-x)**2*(1-x**2)))] }
-
-
-
-def A242495():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*(1+x+x**2)*(1+x+x**2+x**3+x**4))/(1-x-(5*x**2)-(12*x**3)-(18*x**4)-(22*x**5)-(20*x**6)-(15*x**7)-(8*x**8)-(3*x**9)))] }
-
-
-
-def A242496():
- x = SR.var('x')
- return { 'ogf': [(-((x*((3*x**2)-(3*x)-1))/((x-1)*(x+1)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A242509():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**2)*((1-x)+x**2)*(1+x+x**2)*(1+x+x**2+x**3+x**4))/(1-(3*x)-(5*x**2)-(12*x**3)-(17*x**4)-(24*x**5)-(24*x**6)-(25*x**7)-(19*x**8)-(14*x**9)-(7*x**10)-(4*x**11)))] }
-
-
-
-def A242510():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x-(2*x**2)-x**3)+x**4))] }
-
-
-
-def A242536():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-x-(3*x**2)-(2*x**3))+(2*x**4)))] }
-
-
-
-def A242537():
- x = SR.var('x')
- return { 'ogf': [(((1+x)-x**2)/((1-(2*x)-(3*x**2)-(2*x**3))+(2*x**4)))] }
-
-
-
-def A242543():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(6+(4*x)+(12*x**2)+(9*x**3)))/((((2*x**2)+(2*x))-1)*((2*x**2)+1))))] }
-
-
-
-def A242544():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((-13)+(10*x))-(21*x**2))+(50*x**3)+(88*x**4)+(78*x**5)+(99*x**6)+(42*x**7)))/(((x**2+x)-1)*(((3*x**2)+(3*x))-1)*((3*x**2)+1)*(x**2+1))))] }
-
-
-
-def A242545():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((13-(48*x))+(46*x**2))-(240*x**3)-(28*x**4))+(26*x**5)+(245*x**6)+(1169*x**7)+(1276*x**8)+(1240*x**9)+(992*x**10)+(296*x**11)))/((((2*x**2)+(2*x))-1)*((x**2+x)-1)*((2*x**2)+1)*(x**2+1)*((4*x**2)+1)*(((4*x**2)+(4*x))-1))))] }
-
-
-
-def A242558():
- x = SR.var('x')
- return { 'ogf': [(-((x*((-3)+(3*x)+x**2))/((x-1)*(1+x)*((x**2-(3*x))+1)*((x**2+x)-1))))] }
-
-
-
-def A242563():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x-2))/((x+1)*((2*x)-1)*((x**2-x)+1)))] }
-
-
-
-def A242629():
- x = SR.var('x')
- return { 'ogf': [(-(((x**6+x**5+x**4+x**3+x**2+x+1)*(x+1)*((x**2-x)+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)*(x**2+1))/(((5*x**17)+(14*x**16)+(32*x**15)+(57*x**14)+(90*x**13)+(123*x**12)+(155*x**11)+(174*x**10)+(181*x**9)+(170*x**8)+(148*x**7)+(114*x**6)+(81*x**5)+(49*x**4)+(26*x**3)+(10*x**2)+(3*x))-1)))] }
-
-
-
-def A242630():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*(x**2+1)*(x**4+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*(x**2+x+1)*((x**2-x)+1)*(x**4+x**3+x**2+x+1))/(((6*x**21)+(17*x**20)+(39*x**19)+(70*x**18)+(117*x**17)+(170*x**16)+(233*x**15)+(289*x**14)+(340*x**13)+(369*x**12)+(382*x**11)+(364*x**10)+(331*x**9)+(277*x**8)+(220*x**7)+(157*x**6)+(106*x**5)+(61*x**4)+(33*x**3)+(13*x**2)+(4*x))-1)))] }
-
-
-
-def A242631():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2+x+1)*(x**6+x**3+1)*(x+1)*(x**2+1)*(x**4+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*((x**2-x)+1)*(x**4+x**3+x**2+x+1))/(((7*x**27)+(20*x**26)+(46*x**25)+(90*x**24)+(159*x**23)+(249*x**22)+(369*x**21)+(507*x**20)+(659*x**19)+(809*x**18)+(950*x**17)+(1056*x**16)+(1128*x**15)+(1148*x**14)+(1119*x**13)+(1039*x**12)+(927*x**11)+(782*x**10)+(631*x**9)+(480*x**8)+(345*x**7)+(229*x**6)+(144*x**5)+(79*x**4)+(39*x**3)+(16*x**2)+(5*x))-1)))] }
-
-
-
-def A242632():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)*(x**2+x+1)*(x**6+x**3+1)*(x**2+1)*(x**4+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*((x**2-x)+1))/(((8*x**31)+(15*x**30)+(38*x**29)+(66*x**28)+(118*x**27)+(179*x**26)+(273*x**25)+(371*x**24)+(503*x**23)+(628*x**22)+(775*x**21)+(895*x**20)+(1023*x**19)+(1099*x**18)+(1167*x**17)+(1172*x**16)+(1161*x**15)+(1087*x**14)+(1007*x**13)+(875*x**12)+(754*x**11)+(606*x**10)+(483*x**9)+(352*x**8)+(258*x**7)+(166*x**6)+(109*x**5)+(59*x**4)+(34*x**3)+(12*x**2)+(7*x))-1)))] }
-
-
-
-def A242633():
- x = SR.var('x')
- return { 'ogf': [(-(((x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*(x+1)*((((x**4-x**3)+x**2)-x)+1)*(x**4+x**3+x**2+x+1)*(x**2+x+1)*(x**6+x**3+1)*(x**2+1)*(x**4+1)*(x**6+x**5+x**4+x**3+x**2+x+1)*((x**2-x)+1))/(((9*x**41)+(26*x**40)+(69*x**39)+(144*x**38)+(278*x**37)+(482*x**36)+(793*x**35)+(1217*x**34)+(1792*x**33)+(2512*x**32)+(3400*x**31)+(4420*x**30)+(5578*x**29)+(6801*x**28)+(8069*x**27)+(9287*x**26)+(10420*x**25)+(11364*x**24)+(12099*x**23)+(12534*x**22)+(12681*x**21)+(12491*x**20)+(12016*x**19)+(11246*x**18)+(10275*x**17)+(9123*x**16)+(7896*x**15)+(6627*x**14)+(5412*x**13)+(4267*x**12)+(3266*x**11)+(2398*x**10)+(1700*x**9)+(1145*x**8)+(740*x**7)+(444*x**6)+(253*x**5)+(128*x**4)+(60*x**3)+(21*x**2)+(7*x))-1)))] }
-
-
-
-def A242636():
- x = SR.var('x')
- return { 'ogf': [((((x**6-x**5-(2*x**4))+x**3+(3*x**2))-1)/((((((-(2*x**12))-(4*x**10)-(2*x**9))+x**8)-(3*x**7)-(13*x**6)-(18*x**5))+(3*x**4)+(13*x**3)+(6*x**2))-1))] }
-
-
-
-def A242668():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x))*((1-(4*x))+x**4)))] }
-
-
-
-def A242669():
- x = SR.var('x')
- return { 'ogf': [((x**3*(3+x+x**2+x**3))/((1-x)**3*(1+x+x**2)**2))] }
-
-
-
-def A242709():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**5+x**4+(7*x**3)+(5*x**2)+(8*x)+2))/((x-1)**5*(x+1)**3)))] }
-
-
-
-def A242725():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x)-x**2)+(2*x**3))/((1-x)*(1+x)*((1-(4*x))+x**2)))] }
-
-
-
-def A242727():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(11*x**2)+(17*x**3)+(12*x**4)+(9*x**5)+(2*x**6))/((1-x)**5*(1+x+x**2)**2))] }
-
-
-
-def A242728():
- x = SR.var('x')
- return { 'ogf': [(-(((x**3-x**2-(2*x))+1)/((x-1)*(x+1)*((x**2-(4*x))+1))))] }
-
-
-
-def A242762():
- x = SR.var('x')
- return { 'ogf': [((((2+x)-x**2)+x**3+(2*x**4))/((1-x)**2*((1+x)-x**3)))] }
-
-
-
-def A242771():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(2*x)+(2*x**2)))/(((1-x-x**2)+x**4+x**5)-x**6))] }
-
-
-
-def A242774():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(2*x)+x**2))/((1-x**2-x**3)+x**5))] }
-
-
-
-def A242850():
- x = SR.var('x')
- return { 'ogf': [((x*(6+(744*x)+(2340*x**2)+(744*x**3)+(6*x**4)))/(1-x)**6)] }
-
-
-
-def A242851():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(14*x)+(2841*x**2)+(20196*x**3)+(20161*x**4)+(2862*x**5)+(7*x**6))/(1-x)**7)] }
-
-
-
-def A242852():
- x = SR.var('x')
- return { 'ogf': [(((8*x)+(10800*x**2)+(148728*x**3)+(326048*x**4)+(148728*x**5)+(10800*x**6)+(8*x**7))/(1-x)**8)] }
-
-
-
-def A242853():
- x = SR.var('x')
- return { 'ogf': [((1+(40500*x**2)+(1007440*x**3)+(4113054*x**4)+(4112928*x**5)+(1007524*x**6)+(40464*x**7)+(9*x**8))/(1-x)**9)] }
-
-
-
-def A242854():
- x = SR.var('x')
- return { 'ogf': [((x*(10+(151216*x)+(6484504*x**2)+(44954320*x**3)+(82614460*x**4)+(44954320*x**5)+(6484504*x**6)+(151216*x**7)+(10*x**8)))/(1-x)**10)] }
-
-
-
-def A242856():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((x**4-(7*x**3))+(12*x**2)+(17*x)+1))/(x-1)**5))] }
-
-
-
-def A242971():
- x = SR.var('x')
- return { 'ogf': [((((1+x)-x**2)*(1-x**2-x**3))/((1-x**2)**2*(1-(2*x**2))))] }
-
-
-
-def A242983():
- x = SR.var('x')
- return { 'ogf': [((x*((((-(2*x**3))+(17*x**2))-(4*x))+1))/(1-x)**5)] }
-
-
-
-def A242985():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(4*x)))+(2/(1-(2*x))))] }
-
-
-
-def A242986():
- x = SR.var('x')
- return { 'ogf': [((((4*x)-1)/(2*x**6))+(((((((-(16*x**7))+(16*x**6))-(48*x**5))+(12*x**4)+(48*x**3))-(12*x**2)-(8*x))+2)/(4*(1-(4*x**2))**(3/2)*x**6)))] }
-
-
-
-def A243006():
- x = SR.var('x')
- return { 'ogf': [((((x-(3*x**2))+(12*x**3)+(6*x**4))-x**5)/((1-x)*(1+x**2))**2)] }
-
-
-
-def A243011():
- x = SR.var('x')
- return { 'ogf': [(-((x*((16*x**6)+(58*x**5)+(87*x**4)+(105*x**3)+(66*x**2)+(25*x)+3))/((x-1)**5*(x**2+x+1)**2)))] }
-
-
-
-def A243094():
- x = SR.var('x')
- return { 'ogf': [(((x**4+(2*x**3))-(2*x**2)-x-1)/((x**4+(3*x**3)+x**2+x)-1))] }
-
-
-
-def A243099():
- x = SR.var('x')
- return { 'ogf': [(-((x**6*(x**4+x+1))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A243130():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(22*x)+(564543*x**2)+(40400040*x**3)+(448278942*x**4)+(1368702180*x**5)+(1368701718*x**6)+(448279272*x**7)+(40399875*x**8)+(564598*x**9)+(11*x**10))/(1-x)**11)] }
-
-
-
-def A243131():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(356*x)+(1206*x**2)+(356*x**3)+x**4))/(1-x)**6)] }
-
-
-
-def A243132():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(8*x)+(1323*x**2)+(10200*x**3)+(10165*x**4)+(1344*x**5)+x**6)/(1-x)**7)] }
-
-
-
-def A243133():
- x = SR.var('x')
- return { 'ogf': [((x+(5034*x**2)+(73935*x**3)+(164620*x**4)+(73935*x**5)+(5034*x**6)+x**7)/(1-x)**8)] }
-
-
-
-def A243134():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(18844*x**2)+(496456*x**3)+(2065222*x**4)+(2065096*x**5)+(496540*x**6)+(18808*x**7)+x**8)/(1-x)**9)] }
-
-
-
-def A243135():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(70216*x)+(3178684*x**2)+(22457464*x**3)+(41484550*x**4)+(22457464*x**5)+(3178684*x**6)+(70216*x**7)+x**8))/(1-x)**10)] }
-
-
-
-def A243138():
- x = SR.var('x')
- return { 'ogf': [((13-(10*x)-x**2)/(1-x)**3)] }
-
-
-
-def A243142():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((2*x**5)-(5*x**4))+x**3)-(8*x**2)-(7*x)-3))/((x-1)**7*(x+1)**3))] }
-
-
-
-def A243143():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((3*x**10)-(10*x**9))+(19*x**8))-(13*x**7))+(102*x**6)+(105*x**5)+(144*x**4)+(125*x**3)+(67*x**2)+(17*x)+1))/((x-1)**9*(x+1)**4*(x**2+1))))] }
-
-
-
-def A243201():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x)+(38*x**2)+(16*x**3)+x**4)/(1-x)**5)] }
-
-
-
-def A243206():
- x = SR.var('x')
- return { 'ogf': [((4*x**3*(((-14)-(163*x)-(125*x**2)-(5*x**5)-(6*x**4))+(72*x**3)+x**6))/(x-1)**7)] }
-
-
-
-def A243208():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((-3)-(11*x)-(17*x**2)-(13*x**3)-(14*x**4)-x**5-(2*x**6))+x**7))/(((-1)+x)**7*(1+x)**3*(1+x+x**2)))] }
-
-
-
-def A243209():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((1+(22*x)+(111*x**2)+(329*x**3)+(653*x**4)+(936*x**5)+(1146*x**6)+(1200*x**7)+(1150*x**8)+(900*x**9)+(650*x**10)+(286*x**11)+(131*x**12)+(28*x**13)+(19*x**14))-(5*x**15))+(3*x**16)))/(((-1)+x)**9*(1+x)**4*((1-x)+x**2)*(1+x+x**2)**3)))] }
-
-
-
-def A243212():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((2*x**3)-(4*x**2))+(17*x)+15))/((x-1)**7*(x+1))))] }
-
-
-
-def A243213():
- x = SR.var('x')
- return { 'ogf': [((x**3*((7*x**7)-(33*x**6)-(15*x**5)-(38*x**4)-(318*x**3)-(330*x**2)-(110*x)-3))/((x-1)**9*(x+1)**3))] }
-
-
-
-def A243215():
- x = SR.var('x')
- return { 'ogf': [(-(((((((6*x**9)-(14*x**8)-(155*x**7))+(474*x**6)+(1267*x**5))-(7976*x**4))+(13539*x**3)+(17290*x**2)+(2431*x)+18)*x**3)/(x-1)**9))] }
-
-
-
-def A243217():
- x = SR.var('x')
- return { 'ogf': [((4*((((((((2*x**11)-(6*x**10))+(17*x**9))-(559*x**8))+(3298*x**7))-(5840*x**6)-(8668*x**5))+(55222*x**4))-(105932*x**3)-(148674*x**2)-(29933*x)-847)*x**4)/(x-1)**11)] }
-
-
-
-def A243254():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**15+(5*x**14)+(13*x**13)+(24*x**12)+(34*x**11)+(36*x**10)+(24*x**9))-(26*x**7)-(40*x**6)-(36*x**5)-(18*x**4))+(12*x**2)+(12*x)+6)*x**12)/((x-1)*(x+1)*(x**2+1)*((x**3+x**2)-1)*((x**4+x**3)-1)*((x**5+x**3)-1)*(x**2+x+1)*((x**5+x**4)-1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A243399():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(19*x)-x**2))] }
-
-
-
-def A243456():
- x = SR.var('x')
- return { 'ogf': [(((8-(39*x**2))+(50*x**4))/(1-(2*x**2))**3)] }
-
-
-
-def A243464():
- x = SR.var('x')
- return { 'ogf': [((x**2*((43*x**3)-(137*x**2)-(95*x)-3))/(x-1)**5)] }
-
-
-
-def A243465():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((((15*x**6)-(167*x**5))+(320*x**4)+(686*x**3))-(2789*x**2)-(1815*x)-90))/(x-1)**7)] }
-
-
-
-def A243466():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((196*x**9)-(1380*x**8)-(1019*x**7))+(21464*x**6))-(32073*x**5)-(77546*x**4))+(302915*x**3)+(199644*x**2)+(17821*x)+58))/(x-1)**9))] }
-
-
-
-def A243467():
- x = SR.var('x')
- return { 'ogf': [((2*x**4*((((((465*x**11)-(2767*x**10)-(1161*x**9)-(3873*x**8))+(262965*x**7))-(1067787*x**6))+(1243269*x**5)+(2069157*x**4))-(9734826*x**3)-(7263594*x**2)-(967832*x)-16896))/(x-1)**11)] }
-
-
-
-def A243520():
- x = SR.var('x')
- return { 'ogf': [((x*(8+(3*x)))/((1+x)*(1-x)**2))] }
-
-
-
-def A243577():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((((((15*x**6)-(30*x**5))+(45*x**4))-(60*x**3))+(69*x**2))-(46*x))+39))/((x-1)**3*(x**2+1)**2)))] }
-
-
-
-def A243581():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((15*x**2)-(6*x))+119))/(x-1)**3))] }
-
-
-
-def A243645():
- x = SR.var('x')
- return { 'ogf': [((x**3*((x**3+(3*x**2))-(15*x)-1))/(x-1)**5)] }
-
-
-
-def A243646():
- x = SR.var('x')
- return { 'ogf': [((x**4*(((x**5-(27*x**4))+(90*x**3))-(54*x**2)-(119*x)-11))/(x-1)**7)] }
-
-
-
-def A243647():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((((9*x**8)-(102*x**7))+(253*x**6)+(179*x**5))-(1340*x**4))+(916*x**3)+(1597*x**2)+(167*x)+1))/(x-1)**9))] }
-
-
-
-def A243648():
- x = SR.var('x')
- return { 'ogf': [((x**5*((((((33*x**10)-(293*x**9))+(504*x**8)+(1350*x**7))-(3422*x**6)-(7274*x**5))+(28906*x**4))-(19186*x**3)-(26887*x**2)-(3925*x)-46))/(x-1)**11)] }
-
-
-
-def A243649():
- x = SR.var('x')
- return { 'ogf': [(-((x**5*(((((((((97*x**13)-(844*x**12))+(2143*x**11))-(3665*x**10))+(26943*x**9))-(113864*x**8))+(167176*x**7)+(102604*x**6))-(568735*x**5))+(363954*x**4)+(579769*x**3)+(106565*x**2)+(3135*x)+2))/(x-1)**13))] }
-
-
-
-def A243717():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**6-(3*x**4)-(5*x**3)-(3*x)-2))/((x-1)**5*(x+1)**3))] }
-
-
-
-def A243718():
- x = SR.var('x')
- return { 'ogf': [(((-25)-(8*x))+(3*x**3)+(((((((25-(67*x)-(48*x**2))+(270*x**3))-(41*x**4)-(318*x**5))+(291*x**6)+(354*x**7))-(188*x**8)-(87*x**9))+(49*x**10))/((1-x)**7*(1+x)**4)))] }
-
-
-
-def A243719():
- x = SR.var('x')
- return { 'ogf': [((411+(171*x)+(38*x**2))-(5*x**3)-(15*x**4)-(6*x**5)-(((((((((411-(1473*x)-(236*x**2))+(6588*x**3))-(5073*x**4)-(11179*x**5))+(13200*x**6)+(4572*x**7))-(19047*x**8)-(991*x**9))+(9564*x**10))-(1776*x**11)-(1955*x**12))+(675*x**13))/((1-x)**9*(1+x)**5)))] }
-
-
-
-def A243860():
- x = SR.var('x')
- return { 'ogf': [((((6*x**3)-(4*x**2)-x)+1)/((x-1)**3*((2*x)-1)))] }
-
-
-
-def A243862():
- x = SR.var('x')
- return { 'ogf': [((12*x**10*(((((((((((((((((((((((4*x**31)-(29*x**30))+(4*x**29)+(137*x**28))-(47*x**27)-(414*x**26))+(1491*x**25)+(338*x**24))-(6524*x**23))+(1928*x**22)+(7881*x**21))-(4257*x**20))+(7086*x**19))-(2814*x**18)-(28437*x**17))+(30193*x**16)+(18744*x**15))-(47298*x**14))+(17738*x**13)+(13339*x**12))-(14197*x**11))+(18725*x**10))-(17810*x**9)-(13496*x**8))+(35794*x**7))-(19124*x**6)-(6133*x**5))+(12494*x**4))-(6834*x**3))+(1932*x**2))-(288*x))+18))/((x-1)*((3*x)-1)*((2*x)-1)*(x+1)*((2*x**2)-1)*((x**2+(2*x))-1)*((x**2+x)-1)*((x**2-(3*x))+1)*((x**3+x**2+x)-1)*((x**3-x**2-(2*x))+1)*((x**3-(2*x**2)-x)+1)*((x**3+(2*x))-1)*(((x**3-x**2)+(2*x))-1)*((x**3+x**2)-1)*(((2*x**2)+(2*x))-1)*((x**3+x)-1)*((x**3+(2*x**2)+x)-1)*(((x**3-(2*x**2))+(3*x))-1)))] }
-
-
-
-def A243869():
- x = SR.var('x')
- return { 'ogf': [(x**4/(((1-(5*x))+(5*x**2)+(5*x**3))-(6*x**4)))] }
-
-
-
-def A243883():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**11+(5*x**10)+x**9+(13*x**8)+(2*x**7)+(14*x**6)+(2*x**5)+(14*x**4)+(5*x**3)+(13*x**2)+x+5))/((x-1)**3*(x+1)**3*(x**2+1)**3)))] }
-
-
-
-def A243946():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1+x+sqrt(((1-(18*x))+x**2)))/(2*((1-(18*x))+x**2))))] }
-
-
-
-def A243947():
- x = SR.var('x')
- return { 'ogf': [sqrt((((1+x)-sqrt(((1-(18*x))+x**2)))/(10*x*((1-(18*x))+x**2))))] }
-
-
-
-def A243989():
- x = SR.var('x')
- return { 'ogf': [((x*((x**14-x**13)+(2*x**6)+(2*x**5)+x**4+(2*x**3)+x**2+(2*x)+1))/((x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A243994():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((((((((90*x**17)-(100*x**16))+(90*x**15))-(100*x**14))+(90*x**13))-(100*x**12))+(90*x**11))-(100*x**10))+(90*x**9))-(19*x**8))+(10*x**7))-(19*x**6))+(10*x**5))-(19*x**4))+(10*x**3))-(19*x**2))+(10*x))-19))/((x-1)*((x**2-x)+1)*((x**6-x**3)+1)*((10*x**9)-1))))] }
-
-
-
-def A244082():
- x = SR.var('x')
- return { 'ogf': [((32*x*(1+x))/(1-x)**3)] }
-
-
-
-def A244151():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**5+(3*x**3))-x**2)+x+2))/((x-1)**2*(x+1)))] }
-
-
-
-def A244174():
- x = SR.var('x')
- return { 'ogf': [((1/sqrt((1-(4*x))))+(x/(1-x)))] }
-
-
-
-def A244213():
- x = SR.var('x')
- return { 'ogf': [(-(((5*x**2)-x-2)/((x+1)*(x**2-x-1))))] }
-
-
-
-def A244281():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((((3*x**7)+(2*x**6)+x**4)-(3*x**3)-x)+1))/((x-1)**2*((x**2+x)-1)*((x**3+x)-1)*((x**4+x)-1))))] }
-
-
-
-def A244309():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*((x**2-x)+2))/((x+1)*((x**2-(3*x))+1)*(x**2-x-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A244310():
- x = SR.var('x')
- return { 'ogf': [((2*((((x**6-(8*x**5))+(17*x**4)+(23*x**3)+(5*x**2))-(10*x))+2))/((x+1)*((x**2-(3*x))+1)*(x**2-x-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A244352():
- x = SR.var('x')
- return { 'ogf': [((4*x**2*(((3*x**3)-(4*x**2))+(8*x)+1))/((x+1)*((x**2-(6*x))+1)*(x**2-(2*x)-1)*((x**2+(14*x))-1)))] }
-
-
-
-def A244470():
- x = SR.var('x')
- return { 'ogf': [((x**2+x**3+(2*x**4)+(2*x**6)+x**7+(2*x**10))/(1-(4*x**3)-x**6))] }
-
-
-
-def A244488():
- x = SR.var('x')
- return { 'ogf': [((1+x**2+(3*x**3)+(4*x**4)+(4*x**5)+(4*x**6)+(3*x**7)+x**8+x**10)/((1-x**2)*(1-x**3)*(1-x**4)*(1-x**5)))] }
-
-
-
-def A244495():
- x = SR.var('x')
- return { 'ogf': [((1+(24*x)+(156*x**2)+(280*x**3)+(156*x**4)+(24*x**5)+x**6)/(1-x)**10)] }
-
-
-
-def A244497():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(11*x**2)+(6*x**3)+x**4)/((1-x)**6*(1+x)))] }
-
-
-
-def A244498():
- x = SR.var('x')
- return { 'ogf': [((1+(26*x)+(131*x**2)+(212*x**3)+(131*x**4)+(26*x**5)+x**6)/(1-x)**10)] }
-
-
-
-def A244501():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((6*x**7)-(17*x**6))+(14*x**5))-(6*x**4)-(4*x**3))+(20*x**2)+x+1))/(x-1)**7))] }
-
-
-
-def A244502():
- x = SR.var('x')
- return { 'ogf': [((x**4*((((((((10*x**9)-(30*x**8))+(130*x**6))-(333*x**5))+(444*x**4))-(236*x**3))+(24*x**2))-(81*x)-33))/(x-1)**9)] }
-
-
-
-def A244503():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**4*(((((((((5*x**13)-(15*x**12)-(26*x**11))+(228*x**10))-(584*x**9))+(706*x**8))-(162*x**7)-(542*x**6))+(766*x**5))-(924*x**4))+(656*x**3)+(124*x**2)+(80*x)+3))/(x-1)**11))] }
-
-
-
-def A244584():
- x = SR.var('x')
- return { 'ogf': [((3+x**4)/((1-x-x**4)+x**5))] }
-
-
-
-def A244586():
- x = SR.var('x')
- return { 'ogf': [(((4-(3*x))+x**5)/((1-x)**2*(1+x**4)))] }
-
-
-
-def A244587():
- x = SR.var('x')
- return { 'ogf': [((((x**6+x**4)-(3*x**2))+5)/((x+1)*(x**4+1)*(x-1)**2))] }
-
-
-
-def A244590():
- x = SR.var('x')
- return { 'ogf': [((x**2*(4+(3*x)+(5*x**2)+(2*x**3)+(4*x**4)+(3*x**5)+(7*x**6)))/((1+x)*(1-x)**2*(1+x**2)*(1+x**4)))] }
-
-
-
-def A244620():
- x = SR.var('x')
- return { 'ogf': [(((3521232*x**2)+(2657248*x)+3521210)/((x-1)**2*(x+1)))] }
-
-
-
-def A244630():
- x = SR.var('x')
- return { 'ogf': [((17*x*(1+x))/(1-x)**3)] }
-
-
-
-def A244631():
- x = SR.var('x')
- return { 'ogf': [((19*x*(1+x))/(1-x)**3)] }
-
-
-
-def A244632():
- x = SR.var('x')
- return { 'ogf': [((23*x*(1+x))/(1-x)**3)] }
-
-
-
-def A244633():
- x = SR.var('x')
- return { 'ogf': [((26*x*(1+x))/(1-x)**3)] }
-
-
-
-def A244634():
- x = SR.var('x')
- return { 'ogf': [((27*x*(1+x))/(1-x)**3)] }
-
-
-
-def A244635():
- x = SR.var('x')
- return { 'ogf': [((29*x*(1+x))/(1-x)**3)] }
-
-
-
-def A244636():
- x = SR.var('x')
- return { 'ogf': [((30*x*(1+x))/(1-x)**3)] }
-
-
-
-def A244663():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2000*x**2)-(2210*x))+111))/((x-1)*((10*x)-1)*((100*x)-1))))] }
-
-
-
-def A244725():
- x = SR.var('x')
- return { 'ogf': [((5*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A244726():
- x = SR.var('x')
- return { 'ogf': [((6*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A244727():
- x = SR.var('x')
- return { 'ogf': [((7*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A244728():
- x = SR.var('x')
- return { 'ogf': [((9*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A244729():
- x = SR.var('x')
- return { 'ogf': [((10*x*(1+(4*x)+x**2))/(1-x)**4)] }
-
-
-
-def A244730():
- x = SR.var('x')
- return { 'ogf': [((2*(x+(11*x**2)+(11*x**3)+x**4))/(1-x)**5)] }
-
-
-
-def A244749():
- x = SR.var('x')
- return { 'ogf': [((x*(((7*x**5)+(14*x**4)+(6*x**3))-(5*x**2)-(7*x)-2))/((x+1)*((3*x**2)-1)))] }
-
-
-
-def A244762():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(2*x**2))/((1-(3*x))*(1-x)**2))] }
-
-
-
-def A244842():
- x = SR.var('x')
- return { 'ogf': [(-((99*x)/((x-1)*((100*x)-1)*((10*x)-1))))] }
-
-
-
-def A244845():
- x = SR.var('x')
- return { 'ogf': [((x**2*((89000*x**2)-(88790*x)-111))/((x-1)*((10*x)-1)*((100*x)-1)))] }
-
-
-
-def A244855():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((-15)-(5*x))+x**2))/((x-1)*((x**2-(7*x))+1)*(x**2+(3*x)+1)))] }
-
-
-
-def A244864():
- x = SR.var('x')
- return { 'ogf': [(((x+1)*(x**2+(3*x)+1))/(x-1)**6)] }
-
-
-
-def A244865():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(15*x**2)+(8*x**3)+x**4)/((1-x)**7*(1+x)))] }
-
-
-
-def A244866():
- x = SR.var('x')
- return { 'ogf': [((1+(12*x)+(21*x**2)+(4*x**3))/(1-x)**6)] }
-
-
-
-def A244867():
- x = SR.var('x')
- return { 'ogf': [((1+(24*x)+(92*x**2)+(64*x**3)+(6*x**4))/(1-x)**8)] }
-
-
-
-def A244868():
- x = SR.var('x')
- return { 'ogf': [((1+(16*x)+(41*x**2)+(16*x**3)+x**4)/(1-x)**6)] }
-
-
-
-def A244869():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(7*x**2)+(4*x**3)+x**4)/((1-x)**6*(1+x)))] }
-
-
-
-def A244870():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(6*x**2)+(3*x**3)+x**4)/((1-x)**6*(1+x)))] }
-
-
-
-def A244871():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(13*x**2)+(22*x**3)+(13*x**4)+(5*x**5)+x**6)/((1-x)**7*(1+x)**2))] }
-
-
-
-def A244872():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(29*x**2)+(43*x**3)+(29*x**4)+(8*x**5)+x**6)/((1-x)**8*(1+x)))] }
-
-
-
-def A244873():
- x = SR.var('x')
- return { 'ogf': [((1+(22*x)+(106*x**2)+(169*x**3)+(106*x**4)+(22*x**5)+x**6)/((1-x)**8*(1+x)))] }
-
-
-
-def A244874():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(38*x**2)+(60*x**3)+(38*x**4)+(10*x**5)+x**6)/((1-x)**8*(1+x)))] }
-
-
-
-def A244875():
- x = SR.var('x')
- return { 'ogf': [((1+(14*x)+(52*x**2)+(77*x**3)+(52*x**4)+(14*x**5)+x**6)/((1-x)**8*(1+x)))] }
-
-
-
-def A244876():
- x = SR.var('x')
- return { 'ogf': [((1+(13*x)+(71*x**2)+(174*x**3)+(238*x**4)+(174*x**5)+(71*x**6)+(13*x**7)+x**8)/((1-x)**8*(1+x)**3))] }
-
-
-
-def A244878():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(30*x**2)+(40*x**3)+(30*x**4)+(6*x**5)+x**6)/((1-x)**10*(1+x)))] }
-
-
-
-def A244879():
- x = SR.var('x')
- return { 'ogf': [((1+(11*x)+(24*x**2)+(11*x**3)+x**4)/(1-x)**7)] }
-
-
-
-def A244880():
- x = SR.var('x')
- return { 'ogf': [((1+(38*(x+x**5))+(263*(x**2+x**4))+(484*x**3)+x**6)/(1-x)**9)] }
-
-
-
-def A244881():
- x = SR.var('x')
- return { 'ogf': [((1+(26*x)+(109*x**2)+(109*x**3)+(26*x**4)+x**5)/(1-x)**8)] }
-
-
-
-def A244882():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(2*x**2))/(1-x)**6)] }
-
-
-
-def A244884():
- x = SR.var('x')
- return { 'ogf': [((((-2)+x**2+x)-(x*sqrt((1-(2*x)-(3*x**2)))))/(((-1)+x)-sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A244885():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((1-(5*x))+(7*x**2))-x**3))/((1-(2*x))**2*((1-(3*x))+x**2)))] }
-
-
-
-def A244886():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+sqrt((1-(2*x)-(3*x**2))))/((1-(3*x))+x**2+x**3+((1-x**2)*sqrt((1-(2*x)-(3*x**2))))))] }
-
-
-
-def A244895():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-x**2))/(1-x**5))] }
-
-
-
-def A244953():
- x = SR.var('x')
- return { 'ogf': [((3+(2*x)+x**2)/((1+x)*(1-x)**2*(1+x**2)))] }
-
-
-
-def A244975():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)))/((1-(7*x))*(1-x)**2))] }
-
-
-
-def A244998():
- x = SR.var('x')
- return { 'ogf': [((1+(32*x)+(408*x**2)+(1724*x**3)+(2765*x**4)+(1724*x**5)+(408*x**6)+(32*x**7)+x**8)/(x-1)**12)] }
-
-
-
-def A245019():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/(((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A245020():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2)/(((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A245023():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*(((8*x**2)-(5*x))+1))/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A245031():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)+x**2))/((1-x)*((1-(10*x))+x**2)*(1+(10*x)+x**2)))] }
-
-
-
-def A245032():
- x = SR.var('x')
- return { 'ogf': [(((((49*x**3)+(124*x**2))-(257*x))+108)/(x-1)**4)] }
-
-
-
-def A245033():
- x = SR.var('x')
- return { 'ogf': [((((108*x**3)-(257*x**2))+(124*x)+49)/(x-1)**4)] }
-
-
-
-def A245094():
- x = SR.var('x')
- return { 'ogf': [((((2*x**8)-(4*x**7)-x**6)+(3*x**5)+(3*x**4)+(3*x**3)+x**2+x+1)/((x-1)**2*(x+1)))] }
-
-
-
-def A245135():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((8+(23*x)+(18*x**2)+(21*x**3)+(12*x**4))-x**5-(2*x**6))+x**7))/((1+x)**3*(x-1)**5)))] }
-
-
-
-def A245179():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((14*x**3)+(8*x**2))-(11*x)-7))/((x-1)*(x+1)*((2*x**2)-1))))] }
-
-
-
-def A245227():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((x**18-x**17)+x**16)-x**15-(3*x**14)-x**13-(2*x**12)-x**11-x**10-(2*x**9)-(2*x**8)-x**7-(2*x**6)-x**5-(2*x**4)-(2*x**3)-(2*x**2)-x-2))/((x**17-x**16-x)+1)))] }
-
-
-
-def A245231():
- x = SR.var('x')
- return { 'ogf': [((x**2*((2*x**6)+x**5+(2*x**4)+x**3+x**2+x+2))/((x**9-x**8-x)+1))] }
-
-
-
-def A245239():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((((x**35-x**34-x**33)+x**32+x**31)-x**30-x**29-(2*x**28)-x**27-x**26-(2*x**24)-x**23-x**22-x**21-x**20-(2*x**18)-(2*x**17)-x**16)+x**15)-(2*x**14)-(2*x**13)-x**12)+x**11)-(2*x**10)-(2*x**9)-x**8-x**6-x**5-(2*x**4)-x**3-x-3))/((x-1)**2*(x+1)*(x**4+1)*(x**8+1)*(x**16+1))))] }
-
-
-
-def A245288():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1+x+(2*x**2)))/(1-x**2)**3)] }
-
-
-
-def A245306():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**3)-(4*x**2)-x)+1)/(((x**4-(3*x**3))+(3*x))-1)))] }
-
-
-
-def A245323():
- x = SR.var('x')
- return { 'ogf': [((2*x*(((((51*x**4)-(622*x**3))+(148*x**2))-(59*x))+2))/(((x**2-(47*x))+1)*((x**2-(18*x))+1)*((x**2-(7*x))+1)))] }
-
-
-
-def A245332():
- x = SR.var('x')
- return { 'ogf': [((x**5*(x**2+(2*x)+2))/((x-1)*(x+1)*(x**2+x+1)*((x**3+x**2)-1)))] }
-
-
-
-def A245369():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**3-x**5-x**8))] }
-
-
-
-def A245370():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**3-x**5-x**9))] }
-
-
-
-def A245380():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4+(16*x**3)+(36*x**2)+(16*x)+1))/(x-1)**6)] }
-
-
-
-def A245437():
- x = SR.var('x')
- return { 'ogf': [(x**5/((x**6-x**4-x**2-x)+1))] }
-
-
-
-def A245467():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(x**3+(2*x)+1))/((x-1)**3*(x+1)**3)))] }
-
-
-
-def A245477():
- x = SR.var('x')
- return { 'ogf': [((1/(1-x))+(x**5/(1-x**6)))] }
-
-
-
-def A245478():
- x = SR.var('x')
- return { 'ogf': [(-((x*((4*x**2)+(2*x)+1))/((5*x**3)-1)))] }
-
-
-
-def A245479():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)+1)*((3*x**2)+1))/((7*x**4)-1)))] }
-
-
-
-def A245481():
- x = SR.var('x')
- return { 'ogf': [(-((x*((12*x**5)+(6*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((13*x**6)-1)))] }
-
-
-
-def A245487():
- x = SR.var('x')
- return { 'ogf': [((x**7*(x**3+(2*x**2)+(2*x)+2))/((x-1)*(x+1)*(x**2+1)*(x**2+x+1)*((x**4+x**3)-1)))] }
-
-
-
-def A245489():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-(2*x**2))/((1-x)*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A245492():
- x = SR.var('x')
- return { 'ogf': [((x**8*(x**4+x**3+(2*x**2)+(2*x)+2))/((x-1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)*((x**5+x**3)-1)))] }
-
-
-
-def A245524():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(5*x**2)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A245527():
- x = SR.var('x')
- return { 'ogf': [((1+(1/(1-x**5-x**4)))-(1/(1-x**5))-(1/(1-x**4)))] }
-
-
-
-def A245534():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2+(2*x**3)))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A245551():
- x = SR.var('x')
- return { 'ogf': [(1/(1-(2*x)-(3*x**2))**(5/2))] }
-
-
-
-def A245561():
- x = SR.var('x')
- return { 'ogf': [(-((x*((5*x**2)-1))/(((1-(5*x))+(5*x**2))*(x-1)*((5*x)-1))))] }
-
-
-
-def A245578():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((1+(8*x))-(2*x**2)-(12*x**3))+(7*x**4)))/((1+x)*(1-x)**3))] }
-
-
-
-def A245580():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(6*x)+3))/((x**2+(4*x))-1)))] }
-
-
-
-def A245581():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((3*x**2)-(4*x))+3))/((x-1)**3*(x+1))))] }
-
-
-
-def A245596():
- x = SR.var('x')
- return { 'ogf': [((x**6+x**3+1)/(((-x**6)-x**5-x**4-x**3)+1))] }
-
-
-
-def A245621():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**6+x**5+(18*x**4)+(4*x**3)+(21*x**2)+x+2))/((x-1)**4*(x+1)**4))] }
-
-
-
-def A245624():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**5)+x**4+(24*x**3)+(4*x**2)+(15*x)+1))/((x-1)**4*(x+1)**4))] }
-
-
-
-def A245679():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x-3)*((x**2-x)+2))/(x-1)**5)] }
-
-
-
-def A245688():
- x = SR.var('x')
- return { 'ogf': [((x*(((((9297*x**9)-(24320*x**8)-(52*x**7))+(52*x**3))-(127*x**2)-(42*x))+47))/((x**2-(3*x))+1))] }
-
-
-
-def A245734():
- x = SR.var('x')
- return { 'ogf': [((1-x-x**2-sqrt(((1-(6*x))+(3*x**2)+(2*x**3)+x**4)))/(2*(1-x)))] }
-
-
-
-def A245735():
- x = SR.var('x')
- return { 'ogf': [((((-1)-x)+x**2+sqrt((((1+(2*x)+(3*x**2))-(6*x**3))+x**4)))/(2*(x-x**2)))] }
-
-
-
-def A245764():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x**2)*(1+x+(2*x**2)))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A245766():
- x = SR.var('x')
- return { 'ogf': [((2*(1+(x*(1+(x*((-1)+(x*(5+(2*x)))))))))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A245783():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((6*x**4)+(11*x**3))-(43*x**2))+x+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A245799():
- x = SR.var('x')
- return { 'ogf': [(((2-(7*x))+(6*x**2)+(5*x**3))/((1-x-x**2)*(1-(4*x)-x**2)))] }
-
-
-
-def A245804():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(5*x))/((1-(2*x))*(1-(3*x))))] }
-
-
-
-def A245806():
- x = SR.var('x')
- return { 'ogf': [((2-(13*x))/((1-(3*x))*(1-(10*x))))] }
-
-
-
-def A245807():
- x = SR.var('x')
- return { 'ogf': [((2-(17*x))/((1-(7*x))*(1-(10*x))))] }
-
-
-
-def A245827():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**2)+(43*x)+4))/(x-1)**4)] }
-
-
-
-def A245828():
- x = SR.var('x')
- return { 'ogf': [((8*x**2*(1+x)*(2+(11*x)+(2*x**2)))/(1-x)**7)] }
-
-
-
-def A245829():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((24*x**6)-(23*x**5)-(73*x**4))+(60*x**3)+(60*x**2))-(141*x)-51))/((x-1)**4*(x+1)**3)))] }
-
-
-
-def A245830():
- x = SR.var('x')
- return { 'ogf': [((x*((54+(27*x)+(8*x**2))-x**3))/(1-x)**4)] }
-
-
-
-def A245831():
- x = SR.var('x')
- return { 'ogf': [((18*x*(1+x)*(3+(167*x)+(740*x**2)+(167*x**3)+(3*x**4)))/(1-x)**7)] }
-
-
-
-def A245833():
- x = SR.var('x')
- return { 'ogf': [((18*x*((3+(9*x))-(2*x**2)))/(1-x)**7)] }
-
-
-
-def A245906():
- x = SR.var('x')
- return { 'ogf': [((x*(((5+(8*x))-(6*x**2))+x**4))/((1+x)**2*(1-x)**3))] }
-
-
-
-def A245923():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+sqrt(((1-(14*x))+x**2)))/(2*((1-(14*x))+x**2)))] }
-
-
-
-def A245924():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt(((1-(14*x))+x**2)))/(6*x*((1-(14*x))+x**2)))] }
-
-
-
-def A245926():
- x = SR.var('x')
- return { 'ogf': [sqrt((((1-x)+sqrt(((1-(14*x))+x**2)))/(2*((1-(14*x))+x**2))))] }
-
-
-
-def A245927():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1-x-sqrt(((1-(14*x))+x**2)))/(6*x*((1-(14*x))+x**2))))] }
-
-
-
-def A245940():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**4+(55*x**3)+(204*x**2)+(143*x)+17))/(x-1)**8)] }
-
-
-
-def A245941():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((4*x**4)+(257*x**3)+(973*x**2)+(627*x)+59))/(x-1)**7))] }
-
-
-
-def A245961():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x-2))/((x**2+x)-1)**3)] }
-
-
-
-def A245968():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+1))/((x-1)*((x**2+x)-1)*(x**2+x+1)))] }
-
-
-
-def A245969():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((109*x**3)-(409*x**2))+(547*x))-271))/(x-1)**4))] }
-
-
-
-def A245992():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*(21+(5*x)))/((-1)+(4*x)+x**2)))] }
-
-
-
-def A245994():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(43+(7*x)))/((-1)+(6*x)+x**2)))] }
-
-
-
-def A245996():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+x+(4*x**2)))/((1+x)*(x-1)**4))] }
-
-
-
-def A245997():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+(3*x)+(17*x**2)+(13*x**3)+(14*x**4)))/((1+x)**2*(x-1)**5)))] }
-
-
-
-def A245998():
- x = SR.var('x')
- return { 'ogf': [((2*x*(1+(6*x)+(55*x**2)+(100*x**3)+(183*x**4)+(86*x**5)+(49*x**6)))/((1+x)**3*(x-1)**6))] }
-
-
-
-def A245999():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(1+(10*x)+(158*x**2)+(502*x**3)+(1436*x**4)+(1510*x**5)+(1498*x**6)+(474*x**7)+(171*x**8)))/((1+x)**4*(x-1)**7)))] }
-
-
-
-def A246030():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/(1-(2*x)-(8*x**2)))] }
-
-
-
-def A246036():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x))/((1+(2*x))*(1-(4*x))))] }
-
-
-
-def A246038():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+(2*x)+(4*x**2)))/(1-(3*x)-(8*x**3)-(8*x**4)))] }
-
-
-
-def A246057():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A246058():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A246059():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A246062():
- x = SR.var('x')
- return { 'ogf': [sqrt(((1+sqrt((1+(8*x))))/(1+sqrt((1-(8*x))))))] }
-
-
-
-def A246139():
- x = SR.var('x')
- return { 'ogf': [((11-(21*x))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A246148():
- x = SR.var('x')
- return { 'ogf': [(((((((x**10-x**9)+(2*x**8)+x**7+(4*x**6))-(2*x**5))+(4*x**4)+x**3+(2*x**2))-x)+1)/(((x**2-x)+1)*(x**2+x+1)**2*(x+1)**4*(x-1)**8))] }
-
-
-
-def A246168():
- x = SR.var('x')
- return { 'ogf': [(((-9)+(19*x))/((1-(3*x))+(2*x**2)))] }
-
-
-
-def A246172():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x))-(4*x**2)))/(1-x)**3)] }
-
-
-
-def A246176():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((((5-(18*x))+(24*x**2))-(14*x**3))+(3*x**4))-x**5))/((1+x)**3*((1-(3*x))+x**2)**3))] }
-
-
-
-def A246313():
- x = SR.var('x')
- return { 'ogf': [(((-1)+(6*x))/(1-(3*x)-(2*x**2)))] }
-
-
-
-def A246360():
- x = SR.var('x')
- return { 'ogf': [(x-((x**2*(((-2)-x)+(4*x**2)))/((x-1)*((3*x**2)-1))))] }
-
-
-
-def A246416():
- x = SR.var('x')
- return { 'ogf': [((x*(x**10+x**9+(3*x**8)+(4*x**6)+(2*x**5)+(4*x**4)+(2*x**3)+(3*x**2)+x+1))/((x-1)**2*(x+1)**2*(x**2+1)**2*(x**4+1)))] }
-
-
-
-def A246432():
- x = SR.var('x')
- return { 'ogf': [(((1+sqrt((1-(4*x))))/2)-(2*x))] }
-
-
-
-def A246437():
- x = SR.var('x')
- return { 'ogf': [((1/2)*((1/(x+1))+(1/sqrt((((-(3*x**2))-(2*x))+1)))))] }
-
-
-
-def A246552():
- x = SR.var('x')
- return { 'ogf': [((x**2*((1+x)-x**2))/((1-x)**2*(1+x)*(1+x**2)))] }
-
-
-
-def A246715():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)*((1+(4*x))-x**2))/(1-x-x**2)**2)] }
-
-
-
-def A246767():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((3*x**3)+(5*x**2)+(17*x))-1))/(x-1)**5))] }
-
-
-
-def A246840():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((((1-x)+(2*x**2))-x**3)*(1-x-(2*x**2)-x**3)))),
-(1/sqrt(((1-x-x**3)**2-(4*x**4))))] }
-
-
-
-def A246880():
- x = SR.var('x')
- return { 'ogf': [((20/(3-(300*x)))+(1/(x-1))+(17/((30*x)-3)))] }
-
-
-
-def A246883():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((((1-x)+(2*x**2)+x**4)*((1-x-(2*x**2))+x**4)))),
-(1/sqrt((((1-x)+x**4)**2-(4*x**4)))),
-(1/sqrt(((1-x-x**4)**2-(4*x**5))))] }
-
-
-
-def A246884():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-x-(2*x**3)-x**5)*(((1-x)+(2*x**3))-x**5)))),
-(1/sqrt(((1-x-x**5)**2-(4*x**6)))),
-(1/sqrt((((1-x)+x**5)**2-(4*x**5))))] }
-
-
-
-def A246943():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**6)+x**5+(12*x**4)+(4*x**3)+(12*x**2)+x+4))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A246961():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((135*x**2)-(9*x)-2))/(((3*x)-1)*((5*x)-1)*((9*x)-1)*((15*x)-1))))] }
-
-
-
-def A246985():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(14*x**2))/((1-(2*x))*(1-(3*x))*(1-(6*x))))] }
-
-
-
-def A246986():
- x = SR.var('x')
- return { 'ogf': [((((1-(5*x))+(6*x**2))-x**3)/((1-x)*(1-(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A246987():
- x = SR.var('x')
- return { 'ogf': [(((((1-(11*x))+(34*x**2))-(21*x**3))+(2*x**4))/((1-x)*(1-(2*x))*(1-(4*x))*(1-(5*x))*(1-(6*x))))] }
-
-
-
-def A246999():
- x = SR.var('x')
- return { 'ogf': [((24*(((8838-(4772305*x))+(55230500*x**2))-(50500000*x**3)))/((1-x)*(1-(100*x))*(1-(1000*x))*(1-(10*x))))] }
-
-
-
-def A247035():
- x = SR.var('x')
- return { 'ogf': [((2*(x+1)*(x**4+(6*x**3)+(5*x**2)+(6*x)+1))/((x**6-(18*x**3))+1))] }
-
-
-
-def A247060():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*((4*x**3)+(3*x)+1))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A247061():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**2)+(7*x)+1))/((x-1)**2*(x**2+x+1)))] }
-
-
-
-def A247062():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**7)+x**6+(3*x**5)+(2*x**4)+x**3+(3*x**2)+x+1))/((x-1)**2*(x+1)*(x**2+1)*(x**4+1)))] }
-
-
-
-def A247063():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**12)+x**11+x**10+x**9+x**8+x**7+(2*x**6)+x**5+x**4+x**3+x**2+x+1))/((x-1)**2*(x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A247064():
- x = SR.var('x')
- return { 'ogf': [((x**31/((1-x)*(1-x**31)))+(x/(1-x)**2))] }
-
-
-
-def A247065():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(((((1+(14*x))-(6*x**2))+(14*x**3))-(6*x**4))+(15*x**5)))/((1-x)**2*(1+x+x**2+x**3+x**4+x**5+x**6)))] }
-
-
-
-def A247066():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+(4*x**2)+(2*x**3)+(4*x**4)+(4*x**5)+x**6+(4*x**7)+(3*x**8)+(3*x**9)+(5*x**10)))/((1-x)**2*(1+x+x**2+x**3+x**4+x**5+x**6+x**7+x**8+x**9+x**10)))] }
-
-
-
-def A247076():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(x**2+x+1))/(((5*x**3)+(2*x**2)+(2*x))-1))] }
-
-
-
-def A247102():
- x = SR.var('x')
- return { 'ogf': [((((6*x)+2)/(sqrt((((-(3*x**2))-(6*x))+1))*((4*x**2)+(4*x))))-(((2*x)+1)/((2*x**2)+(2*x))))] }
-
-
-
-def A247107():
- x = SR.var('x')
- return { 'ogf': [(-(((((10*x**10)-(10*x**9))+1)*x)/(((10*x**9)-1)*(x-1)**2)))] }
-
-
-
-def A247112():
- x = SR.var('x')
- return { 'ogf': [((x*(8+(27*x)+(12*x**2)+x**3))/(1-x)**5)] }
-
-
-
-def A247121():
- x = SR.var('x')
- return { 'ogf': [(((4*x**3)-1)/(((20*x**3)+(8*x**2)+(2*x))-1))] }
-
-
-
-def A247125():
- x = SR.var('x')
- return { 'ogf': [(-(1/(((2*x**6)+(6*x**5)+(12*x**4)+x**3+(2*x**2))-1)))] }
-
-
-
-def A247128():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x**4)+(4*x**3)+(4*x**2)+(4*x)+5))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A247160():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x**14)+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1))/((x-1)**2*(x**2+x+1)*(x**4+x**3+x**2+x+1)*((((((x**8-x**7)+x**5)-x**4)+x**3)-x)+1)))] }
-
-
-
-def A247161():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**10)+x**9+x**8+(2*x**7)+x**6+(2*x**5)+x**4+x**3+(2*x**2)+x+1))/((x-1)**2*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A247162():
- x = SR.var('x')
- return { 'ogf': [(1-((2*x**3)/(((-sqrt((((-(3*x**4))-(4*x**3)-(2*x**2))+1)))-x**2)+1)))] }
-
-
-
-def A247169():
- x = SR.var('x')
- return { 'ogf': [((((4*x)+3)/(2*(x+1)))*(1+(1/sqrt((((-(4*x**4))-(4*x**3))+1)))))] }
-
-
-
-def A247170():
- x = SR.var('x')
- return { 'ogf': [((-(3/2))+((x**3+(3*x))/(sqrt(((x**4-(4*x**3)-(2*x**2))+1))*2*x)))] }
-
-
-
-def A247171():
- x = SR.var('x')
- return { 'ogf': [((((2*x**2)+(4*x)+3)/(((2*x)+2)*sqrt((((-(4*x**3))-(4*x**2))+1))))-(1/((2*x)+2)))] }
-
-
-
-def A247173():
- x = SR.var('x')
- return { 'ogf': [(((-1)/((2*x**2)+(2*x)))+((((-(2*x**3))-(3*x**2))+1)/(sqrt((((x**4+(4*x**3))-(2*x**2)-(4*x))+1))*((2*x**2)+(2*x)))))] }
-
-
-
-def A247188():
- x = SR.var('x')
- return { 'ogf': [((x**3*((3-(3*x))+x**2))/((1-(2*x))*(1-x)**2))] }
-
-
-
-def A247215():
- x = SR.var('x')
- return { 'ogf': [(-((8*x**2)/((x-1)*((x**2-(34*x))+1))))] }
-
-
-
-def A247247():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)*(x**4+(2*x**3)+(19*x**2)+(2*x)+1))/((1-x)*(x**2+x+1)*((x**6-(98*x**3))+1)))] }
-
-
-
-def A247281():
- x = SR.var('x')
- return { 'ogf': [(-((5*x)/((x+1)*((4*x)-1))))] }
-
-
-
-def A247287():
- x = SR.var('x')
- return { 'ogf': [((1-x-sqrt((1-(2*x)-(3*x**2))))/(2*(1-x)**2*sqrt((1-(2*x)-(3*x**2)))))] }
-
-
-
-def A247300():
- x = SR.var('x')
- return { 'ogf': [((4*x*(1+x))/((1-x-x**2)+sqrt(((1+x+x**2)*((1-(3*x))+x**2))))**2)] }
-
-
-
-def A247313():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))/((1-(2*x))*(1-(5*x))))] }
-
-
-
-def A247322():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+(2*x**2)+x**3)/((1-(3*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A247325():
- x = SR.var('x')
- return { 'ogf': [((x+x**2+x**3)/((1-(3*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A247335():
- x = SR.var('x')
- return { 'ogf': [(-((((10*x**2)-(29*x))+1)/((x-1)*((x**2-(38*x))+1))))] }
-
-
-
-def A247344():
- x = SR.var('x')
- return { 'ogf': [((((((976*x**4)-(624*x**3))+(176*x**2))-(24*x))+1)/((((((-(1280*x**5))+(1600*x**4))-(800*x**3))+(200*x**2))-(25*x))+1))] }
-
-
-
-def A247353():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(2*x**2))/((1-(3*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A247354():
- x = SR.var('x')
- return { 'ogf': [((x-x**3)/((1-(3*x**2)-(2*x**3))+x**4))] }
-
-
-
-def A247375():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x)-x**2)+(3*x**3)))/((1-x)**3*(1+x)**2))] }
-
-
-
-def A247387():
- x = SR.var('x')
- return { 'ogf': [((x**2*(21+(42*x)+(21*x**2)+(42*x**3)+(14*x**4)+(8*x**5)+(7*x**6)))/(1-x**7))] }
-
-
-
-def A247390():
- x = SR.var('x')
- return { 'ogf': [((x**2*(41+(40*x)+(21*x**2)+(11*x**3)+(11*x**4)+(40*x**5)+(41*x**6)+(20*x**7)+(11*x**8)+(10*x**9)))/(1-x**10))] }
-
-
-
-def A247391():
- x = SR.var('x')
- return { 'ogf': [((x**2*(110+(55*x)+(55*x**2)+(55*x**3)+(110*x**4)+(110*x**5)+(110*x**6)+(55*x**7)+(22*x**8)+(12*x**9)+(11*x**10)))/(1-x**11))] }
-
-
-
-def A247435():
- x = SR.var('x')
- return { 'ogf': [((x**2*(156+(39*x)+(78*x**2)+(52*x**3)+(156*x**4)+(156*x**5)+(52*x**6)+(39*x**7)+(78*x**8)+(156*x**9)+(26*x**10)+(14*x**11)+(13*x**12)))/(1-x**13))] }
-
-
-
-def A247541():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(8*x**2))/(1-x)**3)] }
-
-
-
-def A247555():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**6)+(2*x**5)+x**4+(8*x**3)+(4*x**2)+(2*x)+1))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A247560():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x))/((1-(3*x))+(4*x**2)))] }
-
-
-
-def A247563():
- x = SR.var('x')
- return { 'ogf': [((2-(3*x))/((1-(3*x))+(4*x**2)))] }
-
-
-
-def A247564():
- x = SR.var('x')
- return { 'ogf': [(((2+x)-(3*x**2)-(2*x**3))/((1-(3*x**2))+(4*x**4)))] }
-
-
-
-def A247565():
- x = SR.var('x')
- return { 'ogf': [(((2-(7*x))+(8*x**2))/(((1-(5*x))+(10*x**2))-(8*x**3)))] }
-
-
-
-def A247584():
- x = SR.var('x')
- return { 'ogf': [(-((x-1)**4/((((((3*x**5)-(5*x**4))+(10*x**3))-(10*x**2))+(5*x))-1)))] }
-
-
-
-def A247594():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2))/(1-x-x**2-(3*x**3)))] }
-
-
-
-def A247595():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(2*x**2))/(((1-(4*x))+(4*x**2))-(4*x**3)))] }
-
-
-
-def A247608():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(6*x**2)+(10*x**3))/(1-x)**4)] }
-
-
-
-def A247609():
- x = SR.var('x')
- return { 'ogf': [((1+(4*x)+(10*x**2)+(20*x**3)+(35*x**4))/(1-x)**5)] }
-
-
-
-def A247610():
- x = SR.var('x')
- return { 'ogf': [((1+(5*x)+(15*x**2)+(35*x**3)+(70*x**4)+(126*x**5))/(1-x)**6)] }
-
-
-
-def A247611():
- x = SR.var('x')
- return { 'ogf': [((1+(6*x)+(21*x**2)+(56*x**3)+(126*x**4)+(252*x**5)+(462*x**6))/(1-x)**7)] }
-
-
-
-def A247612():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(28*x**2)+(84*x**3)+(210*x**4)+(462*x**5)+(924*x**6)+(1716*x**7))/(1-x)**8)] }
-
-
-
-def A247613():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x)+(36*x**2)+(120*x**3)+(330*x**4)+(792*x**5)+(1716*x**6)+(3432*x**7)+(6435*x**8))/(1-x)**9)] }
-
-
-
-def A247614():
- x = SR.var('x')
- return { 'ogf': [((1+(9*x)+(45*x**2)+(165*x**3)+(495*x**4)+(1287*x**5)+(3003*x**6)+(6435*x**7)+(12870*x**8)+(24310*x**9))/(1-x)**10)] }
-
-
-
-def A247615():
- x = SR.var('x')
- return { 'ogf': [((1+(10*x)+(55*x**2)+(220*x**3)+(715*x**4)+(2002*x**5)+(5005*x**6)+(11440*x**7)+(24310*x**8)+(48620*x**9)+(92378*x**10))/(1-x)**11)] }
-
-
-
-def A247617():
- x = SR.var('x')
- return { 'ogf': [(-((((3*x**11)+x**10+x**9)-x**8-(4*x**7)-(2*x**6)-(4*x**5)-(7*x**3)-(3*x**2)-(5*x)-1)/((x-1)**2*(x+1)**2*(x**2+1)**2*(x**4+1))))] }
-
-
-
-def A247618():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**2)+x+1)/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A247619():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**3)+(3*x**2)+(4*x)+1)/((x-1)**2*((2*x**2)-1))))] }
-
-
-
-def A247620():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((2*x)+1))/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A247643():
- x = SR.var('x')
- return { 'ogf': [(-((x**4+(2*x**3)+(4*x**2)+(2*x)+1)/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A247698():
- x = SR.var('x')
- return { 'ogf': [(-((x*((1953*x)+2308))/((x**2+x)-1)))] }
-
-
-
-def A247720():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((-24)+(3*x)+(4*x**2)+(5*x**3)+(54*x**4)))/(((2*x)-1)*((2*x**4)-1))))] }
-
-
-
-def A247721():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((((((((((((84+(60*x)+(420*x**2)+(687*x**5))-(784*x**12))+(7433*x**21))-(1924*x**6)-(983*x**7))+(2304*x**26))-(394*x**8))+(564*x**25)+(6460*x**20))-(6844*x**22)-(2604*x**24)-(911*x**9)-(3644*x**23)-(24*x**15))+(1603*x**19))-(2826*x**18)-(2238*x**11)-(6952*x**17)-(24*x**4))+(1024*x**10))-(8176*x**13))+(7852*x**14)+(476*x**3)+(2294*x**16)))/(((((((((((((((-1)+(2*x))-(3*x**2)-(8*x**5)-(58*x**12))+(112*x**21)+(46*x**6))-(48*x**7)-(12*x**26)-(25*x**8)-(90*x**25)-(34*x**20))+(320*x**22))-(80*x**24)-(166*x**23))+(246*x**15))-(112*x**19)-(183*x**18))+(62*x**11)+(162*x**17)+(16*x**4))-(38*x**10))+(72*x**27)+(72*x**13))-(354*x**14))+(8*x**3))-(26*x**16))))] }
-
-
-
-def A247728():
- x = SR.var('x')
- return { 'ogf': [((2*x*(4+(29*x)+(64*x**2)+(80*x**3)+(40*x**4)+(23*x**5)))/((1+x)**2*(x-1)**6))] }
-
-
-
-def A247729():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(2+(39*x)+(224*x**2)+(786*x**3)+(1816*x**4)+(3236*x**5)+(4421*x**6)+(4943*x**7)+(4379*x**8)+(3196*x**9)+(1787*x**10)+(795*x**11)+(235*x**12)+(61*x**13)))/((x**2+1)*(1+x+x**2)**2*(1+x)**3*(x-1)**7)))] }
-
-
-
-def A247792():
- x = SR.var('x')
- return { 'ogf': [((1+(7*x)+(10*x**2))/(1-x)**3)] }
-
-
-
-def A247817():
- x = SR.var('x')
- return { 'ogf': [((16*x**2)/((1-x)*(1-(4*x))))] }
-
-
-
-def A247829():
- x = SR.var('x')
- return { 'ogf': [((x*(((3*x**7)-(3*x**6)-(14*x**4)-(6*x**3)-(2*x**2))+(3*x)+1))/((x-1)**3*(x**2+x+1)**3))] }
-
-
-
-def A247840():
- x = SR.var('x')
- return { 'ogf': [((36*x**2)/((1-x)*(1-(6*x))))] }
-
-
-
-def A247841():
- x = SR.var('x')
- return { 'ogf': [((64*x**2)/((1-x)*(1-(8*x))))] }
-
-
-
-def A247842():
- x = SR.var('x')
- return { 'ogf': [((81*x**2)/((1-x)*(1-(9*x))))] }
-
-
-
-def A247850():
- x = SR.var('x')
- return { 'ogf': [(-((x*((8-(32*x)-(3792*x**2)-(32*x**3))+(8*x**4)))/(x-1)**6))] }
-
-
-
-def A247851():
- x = SR.var('x')
- return { 'ogf': [(((((((-120)+(1024*x))-(4632*x**2))+(27968*x**3)+(23768*x**4))-(2112*x**5))+(184*x**6))/(1-x)**7)] }
-
-
-
-def A247852():
- x = SR.var('x')
- return { 'ogf': [((x*((((464-(6816*x))+(76848*x**2)+(504128*x**3)+(76848*x**4))-(6816*x**5))+(464*x**6)))/(1-x)**8)] }
-
-
-
-def A247853():
- x = SR.var('x')
- return { 'ogf': [((((((((1680-(16768*x))+(74432*x**2))-(156288*x**3))+(5316704*x**4)+(5105024*x**5))-(15168*x**6))+(13952*x**7))-(1648*x**8))/(1-x)**9)] }
-
-
-
-def A247855():
- x = SR.var('x')
- return { 'ogf': [(((((((-30240)+(340864*x))-(1553248*x**2))+(143360*x**3)+(159704768*x**4)+(1703150336*x**5)+(1689179456*x**6)+(169683968*x**7))-(4846240*x**8))+(109952*x**9)+(8224*x**10))/(1-x)**11)] }
-
-
-
-def A247903():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**3)+(2*x**2)+(3*x)+1)/((x-1)**2*((2*x**2)-1))))] }
-
-
-
-def A247904():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**2)+(2*x)+1)/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A247905():
- x = SR.var('x')
- return { 'ogf': [(-(((2*x**3)+(4*x**2)+(5*x)+1)/((x-1)**2*((2*x**2)-1))))] }
-
-
-
-def A247907():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-x)+x**2)*(1+x**2)*(1-x**2-x**3)))] }
-
-
-
-def A247917():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)-x**3))] }
-
-
-
-def A247918():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x)*((1-x)+x**2)*(1+x**2)*((1+x)-x**3)))] }
-
-
-
-def A247919():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-x)+x**2)*((1+x)-x**3)))] }
-
-
-
-def A247920():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x**2)*((1+x)-x**3)))] }
-
-
-
-def A247984():
- x = SR.var('x')
- return { 'ogf': [((1/(1-(2*x)))-(1/sqrt((1+(4*x**2)))))] }
-
-
-
-def A248016():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**2+1)*(x**4-(6*x**2)-(4*x)-3))/((x-1)**8*(x+1)**4)))] }
-
-
-
-def A248027():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*((x**11+(2*x**10))-(7*x**9)-(10*x**8)-(28*x**7)-(170*x**6)-(484*x**5)-(538*x**4)-(461*x**3)-(176*x**2)-(45*x)-4))/((x-1)**12*(x+1)**6)))] }
-
-
-
-def A248060():
- x = SR.var('x')
- return { 'ogf': [((x**3*((x**8-(4*x**6))+(8*x**5)+(26*x**4)+(40*x**3)+(16*x**2)+(8*x)+1))/((x-1)**10*(x+1)**4))] }
-
-
-
-def A248086():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5+(2*x))-(5*x**2)-(3*x**3)))/((1+x)*(1-x**2)*(1-x-x**2)**2))] }
-
-
-
-def A248088():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(4*x))+(27*x**4)))] }
-
-
-
-def A248089():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x))**2/((1-(4*x))**3+(27*x**4)))] }
-
-
-
-def A248094():
- x = SR.var('x')
- return { 'ogf': [((x*(((42+(150*x))-(39*x**2)-(12*x**3))+(3*x**4)))/(1-x)**7)] }
-
-
-
-def A248098():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x-x**2)+(2*x**3)))/((1-x)*(1-x-x**2-x**3)))] }
-
-
-
-def A248100():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x**3)-(4*x**4))))/(2*x**3))] }
-
-
-
-def A248102():
- x = SR.var('x')
- return { 'ogf': [(((((((((8*x**15)-(52*x**14)-(64*x**13))+(1087*x**12))-(2822*x**11))+(2369*x**10)+(810*x**9))-(2047*x**8))+(300*x**7)+(122*x**6)+(208*x**5)+x**4+(6*x**3)+(9*x**2)+(2*x))-1)/(((((((((((((24*x**15)+(4*x**14))-(680*x**13))+(2673*x**12))-(4212*x**11))+(2139*x**10)+(1574*x**9))-(2141*x**8))+(456*x**7))-(160*x**6))+(236*x**5))-(11*x**4))+(24*x**3)+(9*x**2)+(2*x))-1))] }
-
-
-
-def A248168():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt(((1-(3*x))*(1-(11*x)))))] }
-
-
-
-def A248193():
- x = SR.var('x')
- return { 'ogf': [(1/sqrt((((1-x)+(2*x**3)+x**6)*((1-x-(2*x**3))+x**6)))),
-(1/sqrt((((1-x)+x**6)**2-(4*x**6)))),
-(1/sqrt(((1-x-x**6)**2-(4*x**7))))] }
-
-
-
-def A248205():
- x = SR.var('x')
- return { 'ogf': [((x*((49*x)-1))/((x-1)*((x**2-(98*x))+1)))] }
-
-
-
-def A248216():
- x = SR.var('x')
- return { 'ogf': [((4*x)/((1-(2*x))*(1-(6*x))))] }
-
-
-
-def A248217():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(2*x))*(1-(8*x))))] }
-
-
-
-def A248225():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(3*x))*(1-(6*x))))] }
-
-
-
-def A248226():
- x = SR.var('x')
- return { 'ogf': [((7*x)/((1-(3*x))*(1-(10*x))))] }
-
-
-
-def A248336():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((50*x**5)+(50*x**4))-(155*x**3)-(55*x**2))+(6*x)+5))/((x-1)*(x+1)*((10*x)-1)*((10*x)+1)*((10*x**2)-1))))] }
-
-
-
-def A248337():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(4*x))*(1-(6*x))))] }
-
-
-
-def A248338():
- x = SR.var('x')
- return { 'ogf': [((6*x)/((1-(4*x))*(1-(10*x))))] }
-
-
-
-def A248339():
- x = SR.var('x')
- return { 'ogf': [(((3*x)+19)/(x-1)**2)] }
-
-
-
-def A248340():
- x = SR.var('x')
- return { 'ogf': [((5*x)/((1-(5*x))*(1-(10*x))))] }
-
-
-
-def A248341():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1-(7*x))*(1-(10*x))))] }
-
-
-
-def A248343():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(8*x))*(1-(10*x))))] }
-
-
-
-def A248375():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x+x**2+x**3+x**4+x**5+x**6+(2*x**7)))/((1+x)*(1-x)**2*(1+x**2)*(1+x**4)))] }
-
-
-
-def A248425():
- x = SR.var('x')
- return { 'ogf': [((x**5*((x**4-x**2)+1))/((x-1)**2*((x**2+x)-1)**2))] }
-
-
-
-def A248427():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3*((((x**5-(2*x**4))+(2*x**3))-(2*x**2)-x)+4))/((x-1)**3*(x+1))))] }
-
-
-
-def A248474():
- x = SR.var('x')
- return { 'ogf': [((x*((13*x**2)+(4*x)+13))/((x-1)**2*(x+1)))] }
-
-
-
-def A248575():
- x = SR.var('x')
- return { 'ogf': [((2*x*((5*x**2)+(8*x)+5))/((x-1)**4*(x+1)))] }
-
-
-
-def A248598():
- x = SR.var('x')
- return { 'ogf': [(-((6*x**2*((7*x)-9))/(x-1)**4))] }
-
-
-
-def A248619():
- x = SR.var('x')
- return { 'ogf': [((16*x*(1+(72*x)+(603*x**2)+(1168*x**3)+(603*x**4)+(72*x**5)+x**6))/(1-x)**9)] }
-
-
-
-def A248621():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(x+2)*((2*x)+1))/(x-1)**5))] }
-
-
-
-def A248646():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+x+5))/((2*x)-1)))] }
-
-
-
-def A248698():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3+(21*x**2)+(51*x)+23))/(x-1)**5))] }
-
-
-
-def A248800():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((x**3+x**2)-x)+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A248825():
- x = SR.var('x')
- return { 'ogf': [((x*((3-(2*x))+(3*x**2)))/((1+x)*(1-x)**3))] }
-
-
-
-def A248833():
- x = SR.var('x')
- return { 'ogf': [(-((5*(((5*x**2)-(13*x))+2))/((x-1)*((x**2-(8*x))+1))))] }
-
-
-
-def A248834():
- x = SR.var('x')
- return { 'ogf': [((5*((((54*x**3)-(117*x**2))+(46*x))-3))/(((3*x)-1)*(((9*x**2)-(14*x))+1)))] }
-
-
-
-def A248848():
- x = SR.var('x')
- return { 'ogf': [((1-x**2)/((1-(9*x)-(2*x**2)-(9*x**3))+x**4))] }
-
-
-
-def A248851():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3-(2*x**2))+x+3))/((x-1)**4*(x+1)))] }
-
-
-
-def A248877():
- x = SR.var('x')
- return { 'ogf': [((x*((2*x)+23))/((x-1)*((2*x)-1)))] }
-
-
-
-def A248880():
- x = SR.var('x')
- return { 'ogf': [(-((((x**2-x)+1)*((x**4-x**2)+1))/(((x**6-x**3)+x**2+x)-1)))] }
-
-
-
-def A248917():
- x = SR.var('x')
- return { 'ogf': [(-(((((12*x**3)-(14*x**2))+(4*x))-1)/((x-1)*((2*x)-1)**3)))] }
-
-
-
-def A248924():
- x = SR.var('x')
- return { 'ogf': [((((2*x)+1)*(x**2-2))/(((x**2+x)-1)*(x+1)**2))] }
-
-
-
-def A248959():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x)+(5*x**2)+(14*x**3))-(3*x**4)-(3*x**6))/(1-x-x**2-x**3))] }
-
-
-
-def A248969():
- x = SR.var('x')
- return { 'ogf': [(((3*x**11)+x**10+(12*x**9)+(5*x**8)+(15*x**7)+(6*x**6)+(27*x**5)+(12*x**4)+(12*x**3)+(5*x**2)+(3*x)+1)/((x-1)**2*(x+1)**2*(x**2+1)*(x**4+1)))] }
-
-
-
-def A248974():
- x = SR.var('x')
- return { 'ogf': [((x*(x**4-(64*x**3)-(654*x**2)-(664*x)-59))/(x-1)**5)] }
-
-
-
-def A248982():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)*(((((40*x**15)+(98*x**13)+(4*x**11)+(3*x**10))-(80*x**9))+(7*x**8))-(2*x**6)-(2*x**5)-(12*x**4)-(4*x**3)-(4*x**2)-(4*x)-1))/((x**4+x**2)-1)**2)] }
-
-
-
-def A249013():
- x = SR.var('x')
- return { 'ogf': [((x**3*((1+x**3)-x**4))/((1-x)**2*(1-x**5)))] }
-
-
-
-def A249020():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/((1-x)**2*(1-x**5)))] }
-
-
-
-def A249076():
- x = SR.var('x')
- return { 'ogf': [((64*(x**10+(716*x**9)+(37257*x**8)+(450048*x**7)+(1822014*x**6)+(2864328*x**5)+(1822014*x**4)+(450048*x**3)+(37257*x**2)+(716*x)+1))/(1-x)**13)] }
-
-
-
-def A249098():
- x = SR.var('x')
- return { 'ogf': [((x*(x**6+x**5+(2*x**4)+(2*x**3)+(2*x**2)+(2*x)+1))/((x-1)**2*(x+1)*((x**2-x)+1)*(x**2+x+1)))] }
-
-
-
-def A249099():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**4)+(2*x**3)+(2*x**2)+(2*x)+2))/((x-1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A249127():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**3)+(4*x**2)+(5*x)+1))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A249164():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)**2*((11*x**2)+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A249169():
- x = SR.var('x')
- return { 'ogf': [(-(x**15/((x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x)-1)))] }
-
-
-
-def A249246():
- x = SR.var('x')
- return { 'ogf': [(((3*x**11)+x**10+(12*x**9)+(5*x**8)+(15*x**7)+(6*x**6)+(15*x**5)+(12*x**4)+(12*x**3)+(5*x**2)+(3*x)+1)/((x-1)**2*(x+1)**2*(x**2+1)*(x**4+1)))] }
-
-
-
-def A249264():
- x = SR.var('x')
- return { 'ogf': [((x**2*((((66*x**16)-(66*x**15)-(153*x**14))+(153*x**13)+(91*x**12))-(91*x**11)-(3*x**2)-x-2))/((x-1)**3*(x+1)**3))] }
-
-
-
-def A249265():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x-1)*(((((12*x**12)+(28*x**10)+(3*x**9))-(2*x**8))+(7*x**7))-(24*x**6)-(2*x**5)-(9*x**3)-(4*x**2)-(3*x)-2))/((x**4+x**2)-1)**2)] }
-
-
-
-def A249333():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((3*x**4)-x**3-(7*x**2))+(2*x)+7))/((x-1)**3*(x+1)**2)))] }
-
-
-
-def A249354():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(10*x)+x**2))/(x-1)**4)] }
-
-
-
-def A249356():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**5-x**4)+(15*x)+1))/((x-1)**3*(x**3+x**2+x+1))))] }
-
-
-
-def A249450():
- x = SR.var('x')
- return { 'ogf': [((((-2)+(7*x))-(3*x**2))/(((1-(4*x))+(4*x**2))-x**3))] }
-
-
-
-def A249452():
- x = SR.var('x')
- return { 'ogf': [(((15+(16*x))-(14*x**2)-(16*x**3))/((1-x-(2*x**2))+(2*x**3)))] }
-
-
-
-def A249453():
- x = SR.var('x')
- return { 'ogf': [(-((((12*x**2)-(13*x))+4)/((x-1)**2*((2*x)-1))))] }
-
-
-
-def A249457():
- x = SR.var('x')
- return { 'ogf': [(-((10*(((30*x**2)-(27*x))+1))/(((3*x)-1)*(((9*x**2)-(34*x))+1))))] }
-
-
-
-def A249458():
- x = SR.var('x')
- return { 'ogf': [(-((10*(((70*x**2)-(23*x))+1))/(((7*x)-1)*(((49*x**2)-(26*x))+1))))] }
-
-
-
-def A249460():
- x = SR.var('x')
- return { 'ogf': [((x**3*(1+(3*x)+(6*x**2)+(20*x**3)))/(1-x)**7)] }
-
-
-
-def A249483():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(5*x))+1)*(x**2+(8*x)+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A249519():
- x = SR.var('x')
- return { 'ogf': [((4*x)/(((16*x)+(((sqrt(2)*sqrt((sqrt((1-(16*x)))+1)))-1)*sqrt((1-(16*x)))))-1))] }
-
-
-
-def A249520():
- x = SR.var('x')
- return { 'ogf': [(2-((2*x)/(1-(sqrt((sqrt((1-(16*x)))+1))/sqrt(2)))))] }
-
-
-
-def A249547():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(3*x)))/((1-x)**3*(1+x)))] }
-
-
-
-def A249576():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**4)-x**3)+x**2+1))/((x**6+(2*x**3))-1)))] }
-
-
-
-def A249577():
- x = SR.var('x')
- return { 'ogf': [(-((((x**4+x**2)-x)+2)/(x**6-(2*x**3)-1)))] }
-
-
-
-def A249578():
- x = SR.var('x')
- return { 'ogf': [((x*(((3*x**4)-(2*x**3))+x**2+1))/((x**6-(4*x**3))+1))] }
-
-
-
-def A249579():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((3*x**6)-x**5-(2*x**4))+x**3+x+1))/((x**8+(3*x**4))-1)))] }
-
-
-
-def A249580():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**6+x**5+x**3)-(2*x**2)-x)+3))/(x**8-(3*x**4)-1)))] }
-
-
-
-def A249581():
- x = SR.var('x')
- return { 'ogf': [((x*(((4*x**6)-(2*x**5)-(3*x**4))+x**3+x+1))/(((2*x**8)-(5*x**4))+1))] }
-
-
-
-def A249582():
- x = SR.var('x')
- return { 'ogf': [((1-(5*x**2))/((1-x-(8*x**2)-(5*x**3))+(25*x**4)))] }
-
-
-
-def A249586():
- x = SR.var('x')
- return { 'ogf': [((x+(1283*x**2)+(126114*x**3)+(2569710*x**4)+(16547436*x**5)+(40562700*x**6)+(40692942*x**7)+(16612626*x**8)+(2523795*x**9)+(113009*x**10)+(784*x**11))/(1-x)**13)] }
-
-
-
-def A249665():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**3+x)-1))/(((((x**8+x**7)-x**5-x**4-(2*x**3))+x**2)-(2*x))+1)))] }
-
-
-
-def A249674():
- x = SR.var('x')
- return { 'ogf': [((30*x)/(x-1)**2)] }
-
-
-
-def A249693():
- x = SR.var('x')
- return { 'ogf': [((((1+(2*x))-x**2)+(3*x**3)+(3*x**4)+x**5)/((1-x**2-x**4)+x**6))] }
-
-
-
-def A249753():
- x = SR.var('x')
- return { 'ogf': [(-((((((16*x**11)+(8*x**10)+(14*x**9))-(7*x**8)-(33*x**7)-(8*x**6)-(13*x**5)-(13*x**4))+(16*x**3)+(9*x**2))-(2*x)-1)/((x-1)*((2*x)-1)*((2*x)+1)*(x**2+1)*((2*x**2)-1)*((8*x**2)-1))))] }
-
-
-
-def A249792():
- x = SR.var('x')
- return { 'ogf': [((1-x)**3/sqrt(((((1-(2*x))+x**2)-x**3)*(((1-(6*x))+(5*x**2))-x**3)))),
-((1-x)**3/sqrt(((((((1-(8*x))+(18*x**2))-(18*x**3))+(13*x**4))-(6*x**5))+x**6)))] }
-
-
-
-def A249793():
- x = SR.var('x')
- return { 'ogf': [((1-x)**4/sqrt(((((((((1-(10*x))+(33*x**2))-(56*x**3))+(66*x**4))-(54*x**5))+(28*x**6))-(8*x**7))+x**8)))] }
-
-
-
-def A249794():
- x = SR.var('x')
- return { 'ogf': [((1-x)**5/sqrt((((1-(3*x))+x**2)*(((1-x)+(2*x**2))-x**3)*(((((1-(8*x))+(14*x**2))-(12*x**3))+(5*x**4))-x**5)))),
-((1-x)**5/sqrt(((((((((((1-(12*x))+(52*x**2))-(124*x**3))+(206*x**4))-(246*x**5))+(208*x**6))-(120*x**7))+(45*x**8))-(10*x**9))+x**10)))] }
-
-
-
-def A249852():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3+x**2+x+2))/((x-1)**3*(x**2+1))))] }
-
-
-
-def A249859():
- x = SR.var('x')
- return { 'ogf': [((x*(((-(6*x**12))-(2*x**11)-(3*x**10))+(23*x**8)+(12*x**7)+(30*x**6)+(8*x**5)+(12*x**4)+(6*x**3)+(5*x**2)+3))/((((-x**12)+(3*x**8))-(3*x**4))+1))] }
-
-
-
-def A249860():
- x = SR.var('x')
- return { 'ogf': [((x*(((-(10*x**19))-(8*x**18)-(3*x**17)-(4*x**16)-(5*x**15))+(37*x**13)+(32*x**12)+(18*x**11)+(32*x**10)+(70*x**9)+(12*x**8)+(40*x**7)+(8*x**6)+(9*x**5)+(8*x**4)+(7*x**3)+(5*x)+4))/((((-x**18)+(3*x**12))-(3*x**6))+1))] }
-
-
-
-def A249908():
- x = SR.var('x')
- return { 'ogf': [(((1-x)/(2*sqrt(((5*x**2)+(2*x)+1))))-(1/2))] }
-
-
-
-def A249916():
- x = SR.var('x')
- return { 'ogf': [(((((1-x)+(4*x**2))-x**3)+x**4)/((1-x)**2*(1+x**3)))] }
-
-
-
-def A249925():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x)-sqrt((1-(4*x)-(16*x**2))))/(10*x**2))] }
-
-
-
-def A249946():
- x = SR.var('x')
- return { 'ogf': [((1-x)**2/sqrt(((((1-(6*x))+(7*x**2))-(2*x**3))+x**4)))] }
-
-
-
-def A249992():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1+(2*x))*(1-(3*x))))] }
-
-
-
-def A249993():
- x = SR.var('x')
- return { 'ogf': [(1/((1+x)*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A249994():
- x = SR.var('x')
- return { 'ogf': [(1/((1-(2*x))*(1+(3*x))*(1-(4*x))))] }
-
-
-
-def A249995():
- x = SR.var('x')
- return { 'ogf': [(1/((1+(2*x))*(1-(3*x))*(1-(4*x))))] }
-
-
-
-def A249996():
- x = SR.var('x')
- return { 'ogf': [(1/((1+(2*x))*(1+(3*x))*(1-(4*x))))] }
-
-
-
-def A250024():
- x = SR.var('x')
- return { 'ogf': [((x*(19+(21*x)))/(1-x)**2)] }
-
-
-
-def A250101():
- x = SR.var('x')
- return { 'ogf': [(((18*x)+(86*x**2))/(1-(11*x**2)-(150*x**3)))] }
-
-
-
-def A250103():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1+x)-(2*x**2)-(3*x**3)))] }
-
-
-
-def A250111():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**6+x**5+x**3)-(2*x**2))+1))/(((x**2+x)-1)*((x**4+x**2)-1)))] }
-
-
-
-def A250123():
- x = SR.var('x')
- return { 'ogf': [(-(((x+1)*((x**15+(3*x**14))-(4*x**11)-(6*x**10)-(7*x**9)-(4*x**8)-(7*x**7)-(11*x**6)-(9*x**5)-(7*x**4)-(4*x**3)-(4*x**2)-(4*x)-1))/((x-1)**2*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A250124():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**14)-(4*x**12)-(4*x**11)-(7*x**10)-(12*x**9)-(14*x**8)-(21*x**7)-(17*x**6)-(15*x**5)-(15*x**4)-(10*x**3)-(7*x**2)-(4*x)-1)/((x-1)**2*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A250125():
- x = SR.var('x')
- return { 'ogf': [(-(((x**17+x**16+x**15+x**14)-(2*x**13)-(4*x**12)-(6*x**11)-(7*x**10)-(11*x**9)-(18*x**8)-(16*x**7)-(19*x**6)-(14*x**5)-(13*x**4)-(11*x**3)-(6*x**2)-(4*x)-1)/((x-1)**2*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A250126():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x**16)+x**14)-(2*x**12)-(7*x**11)-(10*x**10)-(10*x**9)-(14*x**8)-(18*x**7)-(17*x**6)-(18*x**5)-(12*x**4)-(9*x**3)-(9*x**2)-(4*x)-1)/((x-1)**2*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A250128():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1))/(((3*x**3)+(3*x**2)+(2*x))-1)))] }
-
-
-
-def A250307():
- x = SR.var('x')
- return { 'ogf': [(6/((5-(14*x))+sqrt(((1-(8*x))+(4*x**2)))))] }
-
-
-
-def A250730():
- x = SR.var('x')
- return { 'ogf': [((x*(((-9)+(5*x)+(7*x**2))-(4*x**3)))/((x-1)*((x**3-x**2-(2*x))+1)))] }
-
-
-
-def A251260():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+x**2+x**3)/((1-x**2)**2*(1-x**3)*(1-x**4)))] }
-
-
-
-def A251599():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+1)*((x**4-x**3)+x+1))/((x**2+x+1)**2*(x-1)**3)))] }
-
-
-
-def A251601():
- x = SR.var('x')
- return { 'ogf': [((x**2*((5*x)-13))/((x-1)*((x**2-(34*x))+1)))] }
-
-
-
-def A251602():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((7*x**2)-(16*x))+1))/((x-1)*((x**2-(34*x))+1))))] }
-
-
-
-def A251610():
- x = SR.var('x')
- return { 'ogf': [((x*(((x**4+(2*x**3))-(2*x**2))+(2*x)+1))/((x-1)**2*(x**2+1)**2))] }
-
-
-
-def A251624():
- x = SR.var('x')
- return { 'ogf': [((2*x*(x**2-(762*x)-139))/((x-1)*((x**2-(2702*x))+1)))] }
-
-
-
-def A251625():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((x**2-(462*x))+161))/((x-1)*((x**2-(2702*x))+1))))] }
-
-
-
-def A251687():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(4*x**3))*((1-(3*x**2))+(4*x**4)))/(1-(2*x**2))**2)] }
-
-
-
-def A251688():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(4*x**2))*(1+(9*x**2))*(1+(36*x**3)))/(1-(6*x**2))**2)] }
-
-
-
-def A251689():
- x = SR.var('x')
- return { 'ogf': [(((1+(4*x))*(1+(4*x**2))*(1+x**2)*(1+x**3))/(1-(2*x**2))**2)] }
-
-
-
-def A251701():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+x**2)-(4*x**3))/((1-(3*x))*(1-x)**3))] }
-
-
-
-def A251730():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(x+5))/((x-1)*((x**2-(14*x))+1))))] }
-
-
-
-def A251732():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x)+1)/((9*x**2)-(6*x)-1)))] }
-
-
-
-def A251733():
- x = SR.var('x')
- return { 'ogf': [((3*x)/((1+(6*x))-(9*x**2)))] }
-
-
-
-def A251743():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x)-3))/((x-1)*((2*x)-1)*((4*x)-1)))] }
-
-
-
-def A251769():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4+(6*x**3))-(776*x**2)-(222*x)-17))/((x-1)*((x**2-(38*x))+1)*(x**2+(38*x)+1)))] }
-
-
-
-def A251770():
- x = SR.var('x')
- return { 'ogf': [(-((9*x*(x**3+(117*x**2)+(39*x)+3))/((x-1)*((x**2-(38*x))+1)*(x**2+(38*x)+1))))] }
-
-
-
-def A251793():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((3*x**3)+(11*x**2)+(33*x)+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A251861():
- x = SR.var('x')
- return { 'ogf': [((650*x)/((1-(26*x)-(26*x**2))+(676*x**3)))] }
-
-
-
-def A251867():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*(x+7))/((x-1)*((x**2-(34*x))+1))))] }
-
-
-
-def A251895():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((x**3+(87*x**2))-(169*x)-15))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1)))] }
-
-
-
-def A251896():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((3*x**4)+(246*x**3))-(676*x**2))+(42*x)+1))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1))))] }
-
-
-
-def A251914():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x-49))/((x-1)*((x**2-(98*x))+1)))] }
-
-
-
-def A251924():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x-17))/((x-1)*((x**2-(34*x))+1)))] }
-
-
-
-def A251927():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((x**5+(4*x**4)+(34*x**3))-(721*x**2)-(34*x)-4))/((x-1)*((x**6-(1442*x**3))+1)))] }
-
-
-
-def A251963():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*(x-7))/((x-1)*((x**2-(14*x))+1)))] }
-
-
-
-def A251990():
- x = SR.var('x')
- return { 'ogf': [((4*x*(x-13))/((x-1)*((x**2-(194*x))+1)))] }
-
-
-
-def A251991():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(x+15))/((x-1)*((x**2-(194*x))+1))))] }
-
-
-
-def A252003():
- x = SR.var('x')
- return { 'ogf': [((8*x*((5*x)-29))/((x-1)*((x**2-(1154*x))+1)))] }
-
-
-
-def A252004():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*((7*x)+41))/((x-1)*((x**2-(1154*x))+1))))] }
-
-
-
-def A252054():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(((((((29*x**13)-(28*x**12)-(362*x**11))+(175*x**10)+(1596*x**9))-(198*x**8)-(3016*x**7)-(248*x**6))+(2530*x**5)+(464*x**4))-(891*x**3)-(192*x**2))+(102*x)+19))/((x-1)*(x+1)*((x**4-x**3-(5*x**2)-x)+1)*((x**4-x**3-(3*x**2))+x+1)*(((x**4+x**3)-(3*x**2)-x)+1))))] }
-
-
-
-def A252076():
- x = SR.var('x')
- return { 'ogf': [((18*x**2*((11*x)-27))/((x-1)*((x**2-(1442*x))+1)))] }
-
-
-
-def A252077():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((313*x**2)-(674*x))+1))/((x-1)*((x**2-(1442*x))+1))))] }
-
-
-
-def A252092():
- x = SR.var('x')
- return { 'ogf': [((6*x*((599*x**2)-(105137*x)-6))/((x-1)*((x**2-(940898*x))+1)))] }
-
-
-
-def A252093():
- x = SR.var('x')
- return { 'ogf': [(-((18*x*(((489*x**2)-(9206*x))+5))/((x-1)*((x**2-(940898*x))+1))))] }
-
-
-
-def A252115():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4+(26*x**3))-(45652*x**2)-(26378*x)-573))/((x-1)*((x**2-(322*x))+1)*(x**2+(322*x)+1)))] }
-
-
-
-def A252116():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((2*x**4)+(57*x**3))-(77605*x**2))+(58983*x)+1283))/((x-1)*((x**2-(322*x))+1)*(x**2+(322*x)+1))))] }
-
-
-
-def A252359():
- x = SR.var('x')
- return { 'ogf': [((2*x*((31*x)-79))/((x-1)*((x**2-(482*x))+1)))] }
-
-
-
-def A252360():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(370*x))+289))/((x-1)*((x**2-(482*x))+1))))] }
-
-
-
-def A252585():
- x = SR.var('x')
- return { 'ogf': [((x*(((11*x**3)+(63*x**2))-(231*x)-3))/((x-1)*((x**2-(22*x))+1)*(x**2+(22*x)+1)))] }
-
-
-
-def A252586():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(11*x**3))-(413*x**2))+(253*x)+4))/((x-1)*((x**2-(22*x))+1)*(x**2+(22*x)+1))))] }
-
-
-
-def A252630():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**2)-(353*x)-50))/((x-1)*((x**2-(322*x))+1)))] }
-
-
-
-def A252631():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*((x**2-(48*x))+23))/((x-1)*((x**2-(322*x))+1))))] }
-
-
-
-def A252704():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**18+(9414*x**17)+(28924605*x**16)+(8.52612924E9*x**15)+(5.9987777904E11*x**14)+(1.5064347905208E13*x**13)+(1.64923977484392E14*x**12)+(8.74644240573864E14*x**11)+(2.363591146376826E15*x**10)+(3.29942741037082E15*x**9)+(2.363591146376826E15*x**8)+(8.74644240573864E14*x**7)+(1.64923977484392E14*x**6)+(1.5064347905208E13*x**5)+(5.9987777904E11*x**4)+(8.52612924E9*x**3)+(28924605*x**2)+(9414*x)+1))/(1-x)**21)] }
-
-
-
-def A252705():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**10+(68*x**9)+(4323*x**8)+(80508*x**7)+(469548*x**6)+(886944*x**5)+(469548*x**4)+(80508*x**3)+(4323*x**2)+(68*x)+1))/(1-x)**13)] }
-
-
-
-def A252747():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((x**4-(26*x**2))+(12*x)+9))/((x-1)*((x**2-(6*x))+1)*(x**2+(6*x)+1))))] }
-
-
-
-def A252762():
- x = SR.var('x')
- return { 'ogf': [((x*((15*x**2)-(268*x)-3))/((x-1)*((x**2-(194*x))+1)))] }
-
-
-
-def A252763():
- x = SR.var('x')
- return { 'ogf': [(-((8*x*(((3*x**2)-(10*x))+1))/((x-1)*((x**2-(194*x))+1))))] }
-
-
-
-def A252769():
- x = SR.var('x')
- return { 'ogf': [((2*x*((7*x)-47))/((x-1)*((x**2-(62*x))+1)))] }
-
-
-
-def A252770():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((3*x**2)-(169*x))+148))/((x-1)*((x**2-(62*x))+1))))] }
-
-
-
-def A252778():
- x = SR.var('x')
- return { 'ogf': [((6*x**2*((11*x**7)+(92*x**6)+(2829*x**5)+(13850*x**4)+(26045*x**3)+(15504*x**2)+(2123*x)+26))/(x-1)**10)] }
-
-
-
-def A252779():
- x = SR.var('x')
- return { 'ogf': [((36*x**2*(x**7+(18*x**6)+(481*x**5)+(2280*x**4)+(4355*x**3)+(2594*x**2)+(347*x)+4))/(x-1)**10)] }
-
-
-
-def A252780():
- x = SR.var('x')
- return { 'ogf': [(-((24*x**2*((1473*x**14)+(32720*x**13)+(4197221*x**12)+(209614896*x**11)+(3.974036005E9*x**10)+(3.3181507744E10*x**9)+(1.32190513545E11*x**8)+(2.63917493088E11*x**7)+(2.67855509283E11*x**6)+(1.3528847976E11*x**5)+(3.1950100783E10*x**4)+(3.11367256E9*x**3)+(97233591*x**2)+(519296*x)+35))/(x-1)**17))] }
-
-
-
-def A252839():
- x = SR.var('x')
- return { 'ogf': [((120*x**3*((917131*x**22)+(256115122*x**21)+(8.6195456293E10*x**20)+(2.98951282023E13*x**19)+(4.101355164443025E15*x**18)+(2.40560314496910912E17*x**17)+(6.8098152117856901E18*x**16)+(1.0230831723527841E20*x**15)+(8.738285914129465E20*x**14)+(4.453329070294963E21*x**13)+(1.3994509523514621E22*x**12)+(2.7682853019612986E22*x**11)+(3.4828722027105723E22*x**10)+(2.789438840173225E22*x**9)+(1.4097481092846477E22*x**8)+(4.4082065516724806E21*x**7)+(8.248067059250842E20*x**6)+(8.76069902891529E19*x**5)+(4.8642991429129144E18*x**4)+(1.23465337047190304E17*x**3)+(1.129175427753901E15*x**2)+(2.264264831682E12*x)+238042563))/(x-1)**26)] }
-
-
-
-def A252863():
- x = SR.var('x')
- return { 'ogf': [((x-(4*x**2))/((1-(20*x))+(16*x**2)))] }
-
-
-
-def A252864():
- x = SR.var('x')
- return { 'ogf': [(((x-1)*(x**2+x+1)*(x**8+(2*x**7)+(2*x**6)+(2*x**5)+x**4+x**3+x**2+1))/((x**3+x)-1))] }
-
-
-
-def A252985():
- x = SR.var('x')
- return { 'ogf': [((x*(((68*x**3)+(151*x**2))-(578*x)-1))/((x-1)*((x**2-(38*x))+1)*(x**2+(38*x)+1)))] }
-
-
-
-def A252986():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(85*x**3))-(1251*x**2))+(731*x)+2))/((x-1)*((x**2-(38*x))+1)*(x**2+(38*x)+1))))] }
-
-
-
-def A253012():
- x = SR.var('x')
- return { 'ogf': [((1+x**5)/((1-x)*(1-x**3)*(1-x**4)))] }
-
-
-
-def A253045():
- x = SR.var('x')
- return { 'ogf': [(((((53947*x**3)-(152471*x**2))+(144095*x))-45523)/(x-1)**4)] }
-
-
-
-def A253062():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*(((((x**8-x**7)+x**6)-x**5)+x**4+x**3)-x**2-x-1))/((x-1)*((3*x**3)-1))))] }
-
-
-
-def A253067():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1+(2*x)+(3*x**2)+(4*x**3)))/(1-x-(5*x**2)-(13*x**3)-(6*x**4)-(8*x**5)))] }
-
-
-
-def A253068():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x)+(4*x**2))/((1-x)*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A253070():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(((1+x)-x**2)+x**3+(2*x**5)))/(((((1-(3*x)-(3*x**2))+x**3+(6*x**4))-(10*x**5))+(8*x**6))-(8*x**7)))] }
-
-
-
-def A253072():
- x = SR.var('x')
- return { 'ogf': [(-((((((-1)-x)+(16*x**2))-(28*x**3))+(8*x**4))/((((1-(6*x))+(5*x**2)+(24*x**3))-(44*x**4))+(8*x**5))))] }
-
-
-
-def A253101():
- x = SR.var('x')
- return { 'ogf': [(((1-(3*x**2))+(4*x**3))/((1-(2*x))*((1-(4*x))+x**2)))] }
-
-
-
-def A253105():
- x = SR.var('x')
- return { 'ogf': [(-((((-1)-(4*x)-(6*x**3)-x**4-(8*x**5))+(4*x**6))/((((1-(4*x)-(6*x**3))+(29*x**4))-(12*x**5)-(8*x**6))+(8*x**7))))] }
-
-
-
-def A253120():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x**2)-(111*x)-6))/((x-1)*((x**2-(98*x))+1)))] }
-
-
-
-def A253121():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*(((5*x**2)-(26*x))+9))/((x-1)*((x**2-(98*x))+1))))] }
-
-
-
-def A253150():
- x = SR.var('x')
- return { 'ogf': [((2*x**2*((((((((225-(3160*x))+(15361*x**2))-(34324*x**3))+(38512*x**4))-(22148*x**5))+(6371*x**6))-(824*x**7))+(35*x**8)))/((1-x)*((1-(5*x))+x**2)*((1-(3*x))+x**2)*((((1-(15*x))+(32*x**2))-(15*x**3))+x**4)))] }
-
-
-
-def A253167():
- x = SR.var('x')
- return { 'ogf': [((x*((x**4+(150*x**3))-(816*x**2)-(870*x)-1))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1)))] }
-
-
-
-def A253168():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((x**4+(105*x**3))-(915*x**2))+(615*x)+2))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1))))] }
-
-
-
-def A253171():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*((((((x**6-(7*x**5))+(21*x**4))-(33*x**3))+(39*x**2))-(9*x))+3))/(x-1)**7))] }
-
-
-
-def A253175():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(4*x))+1))/((x-1)*((x**2-(10*x))+1))))] }
-
-
-
-def A253186():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**3-x-1))/((x-1)**2*(x**2-1)*(x**2+x+1)))] }
-
-
-
-def A253195():
- x = SR.var('x')
- return { 'ogf': [((x*(5+(3*x)+x**2))/((1+x)*(1-x)**2))] }
-
-
-
-def A253197():
- x = SR.var('x')
- return { 'ogf': [((x*(x**3+(2*x)+1))/((x-1)*((x**2+x)-1)*(x**2+x+1)))] }
-
-
-
-def A253198():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**3)-x**2-x-1))/((x-1)*((x**2+x)-1)*(x**2+x+1))))] }
-
-
-
-def A253208():
- x = SR.var('x')
- return { 'ogf': [((4-(13*x))/((1-x)*(1-(4*x))))] }
-
-
-
-def A253209():
- x = SR.var('x')
- return { 'ogf': [((6-(31*x))/((1-x)*(1-(6*x))))] }
-
-
-
-def A253210():
- x = SR.var('x')
- return { 'ogf': [((7-(43*x))/((1-x)*(1-(7*x))))] }
-
-
-
-def A253211():
- x = SR.var('x')
- return { 'ogf': [((8-(57*x))/((1-x)*(1-(8*x))))] }
-
-
-
-def A253212():
- x = SR.var('x')
- return { 'ogf': [((9-(73*x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A253213():
- x = SR.var('x')
- return { 'ogf': [((10-(91*x))/((1-x)*(1-(10*x))))] }
-
-
-
-def A253262():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1-x**3))/((1-x)*(1+x**5)))] }
-
-
-
-def A253285():
- x = SR.var('x')
- return { 'ogf': [((-(24/(x-1)**4))-(144/(x-1)**5)-(240/(x-1)**6)-(120/(x-1)**7))] }
-
-
-
-def A253304():
- x = SR.var('x')
- return { 'ogf': [((x*(((3*x**3)+(7*x**2))-(21*x)-1))/((x-1)*((x**2-(8*x))+1)*(x**2+(8*x)+1)))] }
-
-
-
-def A253305():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(3*x**3))-(53*x**2))+(27*x)+2))/((x-1)*((x**2-(8*x))+1)*(x**2+(8*x)+1))))] }
-
-
-
-def A253368():
- x = SR.var('x')
- return { 'ogf': [(x/((x**2-(322*x))+1))] }
-
-
-
-def A253410():
- x = SR.var('x')
- return { 'ogf': [((x*(((95*x**3)+(721*x**2))-(95*x)-1))/((x-1)*((x**2-(38*x))+1)*(x**2+(38*x)+1)))] }
-
-
-
-def A253411():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(75*x**3))-(872*x**2))+(75*x)+1))/((x-1)*((x**2-(38*x))+1)*(x**2+(38*x)+1))))] }
-
-
-
-def A253412():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x)+x**2+x**3)-x**4-x**5))/((1-x**2-x**3-x**4)+x**6))] }
-
-
-
-def A253413():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+(2*x)+(2*x**2)+(3*x**3))-x**4-(6*x**5))+x**6))/((1-x**2-x**3-x**4)+x**6))] }
-
-
-
-def A253442():
- x = SR.var('x')
- return { 'ogf': [((x*(96-(816*x)))/((1-x)*((1-(1442*x))+x**2)))] }
-
-
-
-def A253446():
- x = SR.var('x')
- return { 'ogf': [((x*((15*x)-1))/((x-1)*((x**2-(30*x))+1)))] }
-
-
-
-def A253447():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(16*x))+1))/((x-1)*((x**2-(30*x))+1))))] }
-
-
-
-def A253457():
- x = SR.var('x')
- return { 'ogf': [((x*((13*x)-1))/((x-1)*((x**2-(26*x))+1)))] }
-
-
-
-def A253458():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(14*x))+1))/((x-1)*((x**2-(26*x))+1))))] }
-
-
-
-def A253459():
- x = SR.var('x')
- return { 'ogf': [((x*(((20*x**3)+(127*x**2))-(20*x)-1))/((x-1)*((x**2-(16*x))+1)*(x**2+(16*x)+1)))] }
-
-
-
-def A253460():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(15*x**3))-(158*x**2))+(15*x)+1))/((x-1)*((x**2-(16*x))+1)*(x**2+(16*x)+1))))] }
-
-
-
-def A253470():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x)-1))/((x-1)*((x**2-(8*x))+1)))] }
-
-
-
-def A253475():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x)-1))/((x-1)*((x**2-(10*x))+1)))] }
-
-
-
-def A253476():
- x = SR.var('x')
- return { 'ogf': [((x*(((14*x**3)+(55*x**2))-(14*x)-1))/((x-1)*((x**4-(110*x**2))+1)))] }
-
-
-
-def A253477():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(9*x**3))-(74*x**2))+(9*x)+1))/((x-1)*((x**4-(110*x**2))+1))))] }
-
-
-
-def A253487():
- x = SR.var('x')
- return { 'ogf': [((1/x**2)-(((1-(6*x))+(4*x**2))/((1-(4*x))**(3/2)*x**2)))] }
-
-
-
-def A253512():
- x = SR.var('x')
- return { 'ogf': [((x*(((18*x**2)-(36*x))+13))/((x-1)*((2*x)-1)*((3*x)-1)*((6*x)-1)))] }
-
-
-
-def A253513():
- x = SR.var('x')
- return { 'ogf': [(1/(1-x**8))] }
-
-
-
-def A253514():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(58*x))+1))/((x-1)*((x**2-(898*x))+1))))] }
-
-
-
-def A253546():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(128*x))+1))/((x-1)*((x**2-(674*x))+1))))] }
-
-
-
-def A253547():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((2*x**5)-(4*x**4))+(3*x**2)+x+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A253579():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(22800*x**3))-(435482*x**2))+(22800*x)+1))/((x-1)*((x**2-(1442*x))+1)*(x**2+(1442*x)+1))))] }
-
-
-
-def A253599():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(840*x**3))-(21842*x**2))+(840*x)+1))/((x-1)*((x**2-(254*x))+1)*(x**2+(254*x)+1))))] }
-
-
-
-def A253621():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(7*x))+1))/((x-1)*((x**2-(12*x))+1))))] }
-
-
-
-def A253622():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(37*x))+1))/((x-1)*((x**2-(142*x))+1))))] }
-
-
-
-def A253636():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x)*(1+(246*x)+(4047*x**2)+(11572*x**3)+(4047*x**4)+(246*x**5)+x**6))/(1-x)**11)] }
-
-
-
-def A253637():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(502*x)+(14608*x**2)+(88234*x**3)+(156190*x**4)+(88234*x**5)+(14608*x**6)+(502*x**7)+x**8))/(1-x)**12)] }
-
-
-
-def A253654():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(3*x))+1))/((x-1)*((x**2-(8*x))+1))))] }
-
-
-
-def A253671():
- x = SR.var('x')
- return { 'ogf': [((x*((((x**14-x**13)+x**12)-x**11)+x**10+x**9+x**7+x**6+x**4+x**2+1))/((x-1)**2*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)))] }
-
-
-
-def A253673():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x)-1)*((5*x**2)+(18*x)+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1)))] }
-
-
-
-def A253674():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(5*x))+1)*(x**2+(14*x)+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A253675():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(360*x**3))-(3722*x**2))+(360*x)+1))/((x-1)*((x**2-(98*x))+1)*(x**2+(98*x)+1))))] }
-
-
-
-def A253678():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(((((((((((((((((((((((((((529+(12570*x))-(278528*x**2)-(1111096*x**3))+(29622124*x**4)+(15949216*x**5))-(1354335880*x**6))+(1073870160*x**7)+(3.3231636934E10*x**8))-(4.9093408612E10*x**9)-(4.84852497568E11*x**10))+(9.22702092728E11*x**11)+(4.448623050276E12*x**12))-(9.889298009728E12*x**13)-(2.6519860399096E13*x**14))+(6.6909591407824E13*x**15)+(1.04242913448099E14*x**16))-(3.00153880511538E14*x**17)-(2.68804327853184E14*x**18))+(9.1712752955144E14*x**19)+(4.37177534552376E14*x**20))-(1.937370697752896E15*x**21)-(3.86856893695952E14*x**22))+(2.8512624653416E15*x**23)+(3.1463729114724E13*x**24))-(2.93393963954492E15*x**25))+(3.53114911609152E14*x**26)+(2.11346841731608E15*x**27))-(4.52714140134072E14*x**28)-(1.064902306141568E15*x**29))+(3.02352881352848E14*x**30)+(3.73692292484128E14*x**31))-(1.26783009087417E14*x**32)-(9.039112609393E13*x**33))+(3.5100066280832E13*x**34)+(1.4772327002472E13*x**35))-(6.497628908516E12*x**36)-(1.572040067936E12*x**37))+(7.99287715544E11*x**38)+(1.01192826896E11*x**39))-(6.3992712074E10*x**40)-(3.215530756E9*x**41))+(3.212411488E9*x**42))-(3162664*x**43)-(94666796*x**44))+(3355392*x**45)+(1438440*x**46))-(83696*x**47)-(8091*x**48))+(578*x**49)))/((1-x)*(1+x)*(1+(4*x)+x**2)*((1-(4*x))+x**2)*(1-(2*x)-x**2)*((1+(2*x))-x**2)*(1+(8*x)+(16*x**2)+(8*x**3)+x**4)*((((1-(14*x))+(34*x**2))-(14*x**3))+x**4)*((((1-(8*x))+(16*x**2))-(8*x**3))+x**4)*((1-(4*x**2))+x**4)*(((1+(4*x))-(4*x**2)-(4*x**3))+x**4)*(((1+(8*x))-(10*x**2)-(8*x**3))+x**4)*((1-(4*x)-(4*x**2))+(4*x**3)+x**4)*((1-(8*x)-(10*x**2))+(8*x**3)+x**4)*((((1-(14*x**2))+(34*x**4))-(14*x**6))+x**8)))] }
-
-
-
-def A253679():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2-(26*x)-23))/(x-1)**4))] }
-
-
-
-def A253680():
- x = SR.var('x')
- return { 'ogf': [((12*x*(x+1)*((17*x**2)+(126*x)+17))/(x-1)**6)] }
-
-
-
-def A253681():
- x = SR.var('x')
- return { 'ogf': [(-((144*x*((289*x**8)+(56846*x**7)+(1199784*x**6)+(6296786*x**5)+(10697390*x**4)+(6296786*x**3)+(1199784*x**2)+(56846*x)+289))/(x-1)**11))] }
-
-
-
-def A253687():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x**8)-(2*x**6)-(5*x**5)-(6*x**4)-(5*x**3)-(3*x**2)-(2*x)-1))/((x-1)**3*(x+1)*(x**2+1)))] }
-
-
-
-def A253688():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((2*x**8)-(2*x**7)-(2*x**6))+(2*x**5)+(4*x**4)+(3*x**3)+(2*x**2)+(2*x)+1))/((x-1)**3*(x+1))))] }
-
-
-
-def A253689():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(315*x**3))-(5168*x**2))+(315*x)+1))/((x-1)*((x**2-(110*x))+1)*(x**2+(110*x)+1))))] }
-
-
-
-def A253707():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(30*x)+17))/(x-1)**4)] }
-
-
-
-def A253708():
- x = SR.var('x')
- return { 'ogf': [(-((x*((323*x**4)+(5236*x**3)+(11922*x**2)+(5236*x)+323))/(x-1)**7))] }
-
-
-
-def A253709():
- x = SR.var('x')
- return { 'ogf': [(-((x*((104329*x**10)+(54848732*x**9)+(2.597306469E9*x**8)+(3.0065816496E10*x**7)+(1.19309063058E11*x**6)+(1.86443360232E11*x**5)+(1.19309063058E11*x**4)+(3.0065816496E10*x**3)+(2.597306469E9*x**2)+(54848732*x)+104329))/(x-1)**13))] }
-
-
-
-def A253710():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(1013*x)+(47840*x**2)+(455192*x**3)+(1310354*x**4)+(1310354*x**5)+(455192*x**6)+(47840*x**7)+(1013*x**8)+x**9))/(1-x)**13)] }
-
-
-
-def A253711():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2036*x)+(152637*x**2)+(2203488*x**3)+(9738114*x**4)+(15724248*x**5)+(9738114*x**6)+(2203488*x**7)+(152637*x**8)+(2036*x**9)+x**10))/(1-x)**14)] }
-
-
-
-def A253712():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4083*x)+(478271*x**2)+(10187685*x**3)+(66318474*x**4)+(162512286*x**5)+(162512286*x**6)+(66318474*x**7)+(10187685*x**8)+(478271*x**9)+(4083*x**10)+x**11))/(1-x)**15)] }
-
-
-
-def A253714():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(2856*x**3))-(21842*x**2))+(2856*x)+1))/((x-1)*((x**2-(254*x))+1)*(x**2+(254*x)+1))))] }
-
-
-
-def A253715():
- x = SR.var('x')
- return { 'ogf': [((x*(((2159*x**3)+(32257*x**2))-(2159*x)-1))/((x-1)*((x**2-(254*x))+1)*(x**2+(254*x)+1)))] }
-
-
-
-def A253716():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1)*(x**2+(16322042*x)+1))/(((x**2-(64514*x))+1)*(x**2+(64514*x)+1))))] }
-
-
-
-def A253724():
- x = SR.var('x')
- return { 'ogf': [(-((3*x**2*(((x**7-(8*x**6))+(27*x**5))-(216*x**4)-(1521*x**3)-(3272*x**2)-(1563*x)-168))/(x-1)**8))] }
-
-
-
-def A253725():
- x = SR.var('x')
- return { 'ogf': [(-((9*x**2*((x**14-(15*x**13))+(106*x**12)+(27754*x**11)+(8028759*x**10)+(352487303*x**9)+(4.57219358E9*x**8)+(2.2833696108E10*x**7)+(4.9725383807E10*x**6)+(4.9725372367E10*x**5)+(2.2833705546E10*x**4)+(4.57218721E9*x**3)+(352490761*x**2)+(8027289*x)+28224))/(x-1)**15))] }
-
-
-
-def A253778():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**7+(5*x**6)+(60*x**5)+(69*x**4)+(147*x**3)+(36*x**2)+(8*x))-2))/((x-1)**5*(x+1)**4)))] }
-
-
-
-def A253779():
- x = SR.var('x')
- return { 'ogf': [((6*x**2*(x**8+(29*x**7)+(55*x**6)+(241*x**5)+(158*x**4)+(241*x**3)+(55*x**2)+(29*x)+1))/((x-1)**6*(x+1)**5))] }
-
-
-
-def A253780():
- x = SR.var('x')
- return { 'ogf': [((216*x**2*(x**28+(26999*x**27)+(701985*x**26)+(106716191*x**25)+(670508953*x**24)+(1.9676938356E10*x**23)+(5.95221677E10*x**22)+(7.16736365044E11*x**21)+(1.294915592031E12*x**20)+(8.429482190425E12*x**19)+(9.962263692743E12*x**18)+(3.9936619145457E13*x**17)+(3.2146645170615E13*x**16)+(8.4954433749528E13*x**15)+(4.7129019463944E13*x**14)+(8.4954433749528E13*x**13)+(3.2146645170615E13*x**12)+(3.9936619145457E13*x**11)+(9.962263692743E12*x**10)+(8.429482190425E12*x**9)+(1.294915592031E12*x**8)+(7.16736365044E11*x**7)+(5.95221677E10*x**6)+(1.9676938356E10*x**5)+(670508953*x**4)+(106716191*x**3)+(701985*x**2)+(26999*x)+1))/((x-1)**16*(x+1)**15))] }
-
-
-
-def A253811():
- x = SR.var('x')
- return { 'ogf': [((x+3)/((x**2-(6*x))+1))] }
-
-
-
-def A253821():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(180*x**3))-(746*x**2))+(180*x)+1))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1))))] }
-
-
-
-def A253822():
- x = SR.var('x')
- return { 'ogf': [((x*(((255*x**3)+(577*x**2))-(255*x)-1))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1)))] }
-
-
-
-def A253823():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(97920*x**3))-(390050*x**2))+(97920*x)+1))/((x-1)*((x**2-(1154*x))+1)*(x**2+(1154*x)+1))))] }
-
-
-
-def A253826():
- x = SR.var('x')
- return { 'ogf': [((x*((17*x)-1))/((x-1)*((x**2-(34*x))+1)))] }
-
-
-
-def A253831():
- x = SR.var('x')
- return { 'ogf': [((2*(2+x))/((4-(7*x)-(6*x**2))+(x*sqrt((1-(4*x))))))] }
-
-
-
-def A253852():
- x = SR.var('x')
- return { 'ogf': [(-(((6*x**9)+(4*x**8)+(3*x**7)+(4*x**6)+(3*x**5)+(2*x**4)+x**3+x**2+x+1)/((12*x**10)-1)))] }
-
-
-
-def A253878():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(5*x)+1))/((x-1)*((x**2-(16*x))+1))))] }
-
-
-
-def A253879():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x)-1))/((x-1)*((x**2-(16*x))+1)))] }
-
-
-
-def A253880():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x-1))/((x**2-(254*x))+1)))] }
-
-
-
-def A253895():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**12-(2*x**10)-x**8)+(2*x**6)+(2*x**5)+(2*x**4)+x**3+(2*x**2)+1))/((x-1)**3*(x**2+1))))] }
-
-
-
-def A253896():
- x = SR.var('x')
- return { 'ogf': [(-((x**4*(((((2*x**10)-(4*x**9))+(2*x**8))-(2*x**7))+(2*x**5)+(2*x**4)+(2*x**3)+(2*x**2)+x+1))/((x-1)**3*(x+1)*(x**2+1))))] }
-
-
-
-def A253918():
- x = SR.var('x')
- return { 'ogf': [((1-sqrt((1-(4*x**2)-(8*x**3))))/(2*x**2))] }
-
-
-
-def A253920():
- x = SR.var('x')
- return { 'ogf': [((x*(((4*x**5)+(34*x**4)+(721*x**3))-(34*x**2)-(4*x)-1))/((x-1)*((x**6-(1442*x**3))+1)))] }
-
-
-
-def A253921():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(50*x**3))-(262*x**2))+(50*x)+1))/((x-1)*((x**2-(22*x))+1)*(x**2+(22*x)+1))))] }
-
-
-
-def A253922():
- x = SR.var('x')
- return { 'ogf': [((x*(((55*x**3)+(241*x**2))-(55*x)-1))/((x-1)*((x**2-(22*x))+1)*(x**2+(22*x)+1)))] }
-
-
-
-def A253923():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(7700*x**3))-(20242*x**2))+(7700*x)+1))/((x-1)*((x**2-(482*x))+1)*(x**2+(482*x)+1))))] }
-
-
-
-def A253942():
- x = SR.var('x')
- return { 'ogf': [((3*x**4)/(x-1)**6)] }
-
-
-
-def A253945():
- x = SR.var('x')
- return { 'ogf': [((6*x**4)/(1-x)**6)] }
-
-
-
-def A253946():
- x = SR.var('x')
- return { 'ogf': [((6*x**5)/(1-x)**7)] }
-
-
-
-def A253947():
- x = SR.var('x')
- return { 'ogf': [((6*x**6)/(1-x)**8)] }
-
-
-
-def A254006():
- x = SR.var('x')
- return { 'ogf': [(-(1/((3*x**2)-1)))] }
-
-
-
-def A254011():
- x = SR.var('x')
- return { 'ogf': [(((1-x**3)+x**6)/((1-x**3-x**5)+x**8))] }
-
-
-
-def A254028():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((13*x**2)-(13*x))+3))/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A254029():
- x = SR.var('x')
- return { 'ogf': [((x*(15621+(4*x)))/(1-x)**2)] }
-
-
-
-def A254030():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((77*x**3)-(100*x**2))+(40*x))-5))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A254031():
- x = SR.var('x')
- return { 'ogf': [(-((((((1044*x**4)-(1604*x**3))+(855*x**2))-(190*x))+15)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A254076():
- x = SR.var('x')
- return { 'ogf': [((((9*x**3)+x**2)-1)/((x-1)*(x+1)*((2*x)-1)))] }
-
-
-
-def A254124():
- x = SR.var('x')
- return { 'ogf': [(((1-(8*x))+(5*x**2))/(((1-(12*x))+(24*x**2))-(5*x**3)))] }
-
-
-
-def A254125():
- x = SR.var('x')
- return { 'ogf': [(((((1-(22*x))+(86*x**2))-(92*x**3))+(16*x**4))/(((((1-(30*x))+(202*x**2))-(396*x**3))+(248*x**4))-(32*x**5)))] }
-
-
-
-def A254136():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(72*x**3))-(338*x**2))+(72*x)+1))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1))))] }
-
-
-
-def A254137():
- x = SR.var('x')
- return { 'ogf': [((x*(((51*x**3)+(577*x**2))-(51*x)-1))/((x-1)*((x**2-(34*x))+1)*(x**2+(34*x)+1)))] }
-
-
-
-def A254138():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(7956*x**3))-(154634*x**2))+(7956*x)+1))/((x-1)*((x**2-(1154*x))+1)*(x**2+(1154*x)+1))))] }
-
-
-
-def A254142():
- x = SR.var('x')
- return { 'ogf': [((1+(8*x))/(1-x)**11)] }
-
-
-
-def A254144():
- x = SR.var('x')
- return { 'ogf': [(-(((((((8028*x**5)-(13916*x**4))+(8939*x**3))-(2695*x**2))+(385*x))-21)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A254145():
- x = SR.var('x')
- return { 'ogf': [(-((4*(((((((17316*x**6)-(32926*x**5))+(24199*x**4))-(8911*x**3))+(1750*x**2))-(175*x))+7))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A254146():
- x = SR.var('x')
- return { 'ogf': [(-((12*((((((((55308*x**7)-(113262*x**6))+(92327*x**5))-(39312*x**4))+(9527*x**3))-(1323*x**2))+(98*x))-3))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1))))] }
-
-
-
-def A254147():
- x = SR.var('x')
- return { 'ogf': [(-((3*(((((((((2333280*x**8)-(5080464*x**7))+(4500500*x**6))-(2143640*x**5))+(605675*x**4))-(104636*x**3))+(10850*x**2))-(620*x))+15))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1))))] }
-
-
-
-def A254148():
- x = SR.var('x')
- return { 'ogf': [(-(((((((((((80627040*x**9)-(184920912*x**8))+(175484892*x**7))-(91478420*x**6))+(29111445*x**5))-(5902743*x**4))+(766458*x**3))-(61710*x**2))+(2805*x))-55)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1)*((8*x)-1)*((9*x)-1)*((10*x)-1))))] }
-
-
-
-def A254150():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-(4*x))+1)/((((5*x**3)-(24*x**2))+(12*x))-1)))] }
-
-
-
-def A254151():
- x = SR.var('x')
- return { 'ogf': [(-((((((4*x**4)-(28*x**3))+(36*x**2))-(14*x))+1)/((((((32*x**5)-(248*x**4))+(396*x**3))-(202*x**2))+(30*x))-1)))] }
-
-
-
-def A254228():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(40*x**3))-(178*x**2))+(40*x)+1))/((x-1)*((x**2-(18*x))+1)*(x**2+(18*x)+1))))] }
-
-
-
-def A254229():
- x = SR.var('x')
- return { 'ogf': [((x*(((45*x**3)+(161*x**2))-(45*x)-1))/((x-1)*((x**2-(18*x))+1)*(x**2+(18*x)+1)))] }
-
-
-
-def A254230():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(4140*x**3))-(22538*x**2))+(4140*x)+1))/((x-1)*((x**2-(322*x))+1)*(x**2+(322*x)+1))))] }
-
-
-
-def A254233():
- x = SR.var('x')
- return { 'ogf': [(((((x**12-x**11)+x**10+(3*x**9)+(5*x**8)+x**7+(4*x**6)+x**5+(5*x**4)+(3*x**3)+x**2)-x)+1)/((x**2+1)*((x**2-x)+1)*(x**2+x+1)**3*(x+1)**4*(x-1)**8))] }
-
-
-
-def A254282():
- x = SR.var('x')
- return { 'ogf': [((1-(1-(27*x))**(1/3))/(9*x))] }
-
-
-
-def A254283():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(30*x**3))-(110*x**2))+(30*x)+1))/((x-1)*((x**2-(14*x))+1)*(x**2+(14*x)+1))))] }
-
-
-
-def A254284():
- x = SR.var('x')
- return { 'ogf': [((x*(((35*x**3)+(97*x**2))-(35*x)-1))/((x-1)*((x**2-(14*x))+1)*(x**2+(14*x)+1)))] }
-
-
-
-def A254285():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(1890*x**3))-(13190*x**2))+(1890*x)+1))/((x-1)*((x**2-(194*x))+1)*(x**2+(194*x)+1))))] }
-
-
-
-def A254286():
- x = SR.var('x')
- return { 'ogf': [((1-(1-(256*x))**(1/4))/(64*x))] }
-
-
-
-def A254287():
- x = SR.var('x')
- return { 'ogf': [((1-(1-(3125*x))**(1/5))/(625*x))] }
-
-
-
-def A254308():
- x = SR.var('x')
- return { 'ogf': [((x*(((1+x+(2*x**2))-x**3)+x**4))/((1-(4*x**3))+x**6))] }
-
-
-
-def A254314():
- x = SR.var('x')
- return { 'ogf': [((((3-(6*x))+x**2)-sqrt((((1-(4*x))+x**2)**2-(4*x**3))))/(2*(1-(2*x))))] }
-
-
-
-def A254316():
- x = SR.var('x')
- return { 'ogf': [((((1-(2*x))+x**2)-sqrt((((1-(4*x))+x**2)**2-(4*x**3))))/(2*x*(1-x)))] }
-
-
-
-def A254332():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)+(19*x**2))-(2*x)-1))/((x-1)*(x**2-(6*x)-1)*((x**2+(6*x))-1)))] }
-
-
-
-def A254333():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(15*x**3))-(302*x**2))+(15*x)+1))/((x-1)*((x**2-(38*x))+1)*(x**2+(38*x)+1))))] }
-
-
-
-def A254362():
- x = SR.var('x')
- return { 'ogf': [(-((((47*x**2)-(45*x))+10)/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A254363():
- x = SR.var('x')
- return { 'ogf': [(-(((((342*x**3)-(427*x**2))+(165*x))-20)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A254364():
- x = SR.var('x')
- return { 'ogf': [(-((((((2754*x**4)-(4081*x**3))+(2107*x**2))-(455*x))+35)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A254365():
- x = SR.var('x')
- return { 'ogf': [(-((((74*x**2)-(69*x))+15)/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A254366():
- x = SR.var('x')
- return { 'ogf': [(-(((((638*x**3)-(777*x**2))+(294*x))-35)/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A254367():
- x = SR.var('x')
- return { 'ogf': [(-((2*(((((2972*x**4)-(4302*x**3))+(2177*x**2))-(462*x))+35))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A254368():
- x = SR.var('x')
- return { 'ogf': [(-((((107*x**2)-(98*x))+21)/((x-1)*((2*x)-1)*((3*x)-1))))] }
-
-
-
-def A254369():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((533*x**3)-(638*x**2))+(238*x))-28))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1))))] }
-
-
-
-def A254370():
- x = SR.var('x')
- return { 'ogf': [(-((6*(((((1879*x**4)-(2675*x**3))+(1335*x**2))-(280*x))+21))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1))))] }
-
-
-
-def A254371():
- x = SR.var('x')
- return { 'ogf': [((8*x*(1+(4*x)+x**2))/(1-x)**5)] }
-
-
-
-def A254373():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**8+(5*x**7)+(4*x**6)+(7*x**5)+(5*x**4)+(7*x**3)+(4*x**2)+(5*x)+1))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A254374():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**8+(6*x**7)+(7*x**6)+(4*x**5)+(6*x**4)+(4*x**3)+(7*x**2)+(6*x)+1))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A254375():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**8+(8*x**7)+(4*x**6)+(7*x**5)+(8*x**4)+(7*x**3)+(4*x**2)+(8*x)+1))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A254399():
- x = SR.var('x')
- return { 'ogf': [(-((((x**5+x**4)-(4*x**3))+(2*x**2))/(((((-x**6)+(14*x**4))-(18*x**3)-(4*x**2))+(6*x))-1)))] }
-
-
-
-def A254407():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(4*x)))/(1-x)**4)] }
-
-
-
-def A254443():
- x = SR.var('x')
- return { 'ogf': [((x*(((9*x**4)+(4*x**3))-(136*x**2)-(40*x)-35))/((x-1)*((x**4-(20*x**2))+1)))] }
-
-
-
-def A254460():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((64*x**5)+(8*x**4)+(64*x**3))-x**2-(8*x)-1))/((x-1)*((4*x)-1)*(x**2+x+1)*((16*x**2)+(4*x)+1))))] }
-
-
-
-def A254463():
- x = SR.var('x')
- return { 'ogf': [(-((2*((((((12276*x**5)-(20578*x**4))+(12831*x**3))-(3766*x**2))+(525*x))-28))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A254464():
- x = SR.var('x')
- return { 'ogf': [(-((6*(((((((40188*x**6)-(74058*x**5))+(52931*x**4))-(19005*x**3))+(3647*x**2))-(357*x))+14))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A254465():
- x = SR.var('x')
- return { 'ogf': [(-((6*((((((10036*x**5)-(16454*x**4))+(10065*x**3))-(2905*x**2))+(399*x))-21))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A254466():
- x = SR.var('x')
- return { 'ogf': [(-((6*(((((((110440*x**6)-(199272*x**5))+(139840*x**4))-(49405*x**3))+(9345*x**2))-(903*x))+35))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A254467():
- x = SR.var('x')
- return { 'ogf': [(-((6*((((((21310*x**5)-(34383*x**4))+(20750*x**3))-(5920*x**2))+(805*x))-42))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1))))] }
-
-
-
-def A254468():
- x = SR.var('x')
- return { 'ogf': [(-((6*(((((((259610*x**6)-(461263*x**5))+(319473*x**4))-(111595*x**3))+(20900*x**2))-(2002*x))+77))/((x-1)*((2*x)-1)*((3*x)-1)*((4*x)-1)*((5*x)-1)*((6*x)-1)*((7*x)-1))))] }
-
-
-
-def A254469():
- x = SR.var('x')
- return { 'ogf': [((x+(4*x**2)+x**3)/((-1)+x)**10)] }
-
-
-
-def A254470():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(11*x**2)-(11*x**3)-x**4)/((-1)+x)**11)] }
-
-
-
-def A254471():
- x = SR.var('x')
- return { 'ogf': [((x+(26*x**2)+(66*x**3)+(26*x**4)+x**5)/((-1)+x)**12)] }
-
-
-
-def A254472():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(57*x**2)-(302*x**3)-(302*x**4)-(57*x**5)-x**6)/((-1)+x)**13)] }
-
-
-
-def A254473():
- x = SR.var('x')
- return { 'ogf': [((7+(59*x)+(29*x**2)+x**3)/(1-x)**4)] }
-
-
-
-def A254474():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-(27*x)))/((-1)+x)**3)] }
-
-
-
-def A254594():
- x = SR.var('x')
- return { 'ogf': [(1/((((1-(2*x**2)-x**3)+(2*x**5)+(2*x**6))-x**8-(2*x**9))+x**11))] }
-
-
-
-def A254598():
- x = SR.var('x')
- return { 'ogf': [(-((x+1)/(((7*x**2)+(8*x))-1)))] }
-
-
-
-def A254599():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(9*x)-(8*x**2)))] }
-
-
-
-def A254600():
- x = SR.var('x')
- return { 'ogf': [((x+1)/(1-(10*x)-(9*x**2)))] }
-
-
-
-def A254601():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(6*x)-(4*x**2)))] }
-
-
-
-def A254602():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(7*x)-(5*x**2)))] }
-
-
-
-def A254611():
- x = SR.var('x')
- return { 'ogf': [((x**3*((((((((((((((((91+(1590*x))-(4048*x**2)-(69300*x**3))+(50780*x**4)+(1164101*x**5))-(138254*x**6)-(10058547*x**7)-(1562576*x**8))+(50264529*x**9)+(13812974*x**10))-(155013203*x**11)-(47809304*x**12))+(306988809*x**13)+(89155840*x**14))-(399510007*x**15)-(96791692*x**16))+(345081045*x**17)+(62203726*x**18))-(197547813*x**19)-(23125568*x**20))+(74027795*x**21)+(4550826*x**22))-(17725337*x**23)-(329540*x**24))+(2608475*x**25))-(24182*x**26)-(221705*x**27))+(4727*x**28)+(9737*x**29))-(170*x**30)-(169*x**31)))/((1-x)*(1+x)*(((1+(3*x))-(4*x**2))+x**3)*(1+(5*x)+(6*x**2)+x**3)*((1-(4*x))+(3*x**2)+x**3)*((1-(2*x)-x**2)+x**3)*((1-x-(2*x**2))+x**3)*(1-(3*x)-(4*x**2)-x**3)*(((1-(6*x))+(5*x**2))-x**3)*((1+(4*x)+(3*x**2))-x**3)*((1+(2*x))-x**2-x**3)*((1+x)-(2*x**2)-x**3)))] }
-
-
-
-def A254626():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)**2*(x**2+1))/((x-1)*(x**2-(4*x)-1)*((x**2+(4*x))-1))))] }
-
-
-
-def A254627():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+(9*x**2))-x-1))/((x-1)*(x**2-(4*x)-1)*((x**2+(4*x))-1)))] }
-
-
-
-def A254628():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(5*x**3))-(52*x**2))+(5*x)+1))/((x-1)*((x**2-(18*x))+1)*(x**2+(18*x)+1))))] }
-
-
-
-def A254635():
- x = SR.var('x')
- return { 'ogf': [((8*x**2*((((((((((((((((((((((((((784-(67669*x))+(2453871*x**2))-(50439798*x**3))+(665164698*x**4))-(6.02328907E9*x**5))+(3.9096248258E10*x**6))-(1.87328171158E11*x**7))+(6.7665544305E11*x**8))-(1.870967276271E12*x**9))+(4.004062704149E12*x**10))-(6.684136860372E12*x**11))+(8.747997318284E12*x**12))-(9.00123344074E12*x**13))+(7.28668050438E12*x**14))-(4.634602342804E12*x**15))+(2.308061094588E12*x**16))-(8.94754403811E11*x**17))+(2.67700931657E11*x**18))-(6.107775967E10*x**19))+(1.0454781914E10*x**20))-(1313064750*x**21))+(117311490*x**22))-(7125462*x**23))+(273866*x**24))-(5849*x**25))+(51*x**26)))/((1-x)*((1-(4*x))+x**2)*((((1-(14*x))+(34*x**2))-(14*x**3))+x**4)*((((1-(8*x))+(16*x**2))-(8*x**3))+x**4)*((((((((1-(56*x))+(672*x**2))-(2632*x**3))+(4094*x**4))-(2632*x**5))+(672*x**6))-(56*x**7))+x**8)*((((((((1-(32*x))+(288*x**2))-(928*x**3))+(1346*x**4))-(928*x**5))+(288*x**6))-(32*x**7))+x**8)))] }
-
-
-
-def A254640():
- x = SR.var('x')
- return { 'ogf': [((x*(x+1)*(x**4+(56*x**3)+(246*x**2)+(56*x)+1))/(x-1)**10)] }
-
-
-
-def A254641():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(120*x)+(1191*x**2)+(2416*x**3)+(1191*x**4)+(120*x**5)+x**6))/(1-x)**11)] }
-
-
-
-def A254642():
- x = SR.var('x')
- return { 'ogf': [((x+(247*x**2)+(4293*x**3)+(15619*x**4)+(15619*x**5)+(4293*x**6)+(247*x**7)+x**8)/((-1)+x)**12)] }
-
-
-
-def A254643():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(502*x**2)-(14608*x**3)-(88234*x**4)-(156190*x**5)-(88234*x**6)-(14608*x**7)-(502*x**8)-x**9)/((-1)+x)**13)] }
-
-
-
-def A254644():
- x = SR.var('x')
- return { 'ogf': [((x+(26*x**2)+(66*x**3)+(26*x**4)+x**5)/((-1)+x)**10)] }
-
-
-
-def A254645():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(57*x**2)-(302*x**3)-(302*x**4)-(57*x**5)-x**6)/((-1)+x)**11)] }
-
-
-
-def A254646():
- x = SR.var('x')
- return { 'ogf': [((x+(120*x**2)+(1191*x**3)+(2416*x**4)+(1191*x**5)+(120*x**6)+x**7)/((-1)+x)**12)] }
-
-
-
-def A254647():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(247*x**2)-(4293*x**3)-(15619*x**4)-(15619*x**5)-(4293*x**6)-(247*x**7)-x**8)/((-1)+x)**13)] }
-
-
-
-def A254652():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(4*x))+1)*(x**2+(7*x)+1))/((x-1)*((x**4-(110*x**2))+1))))] }
-
-
-
-def A254653():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)+(55*x**2))-(2*x)-1))/((x-1)*((x**4-(110*x**2))+1)))] }
-
-
-
-def A254654():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(21*x**3))-(548*x**2))+(21*x)+1))/((x-1)*((x**2-(110*x))+1)*(x**2+(110*x)+1))))] }
-
-
-
-def A254657():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(8*x)-(6*x**2)))] }
-
-
-
-def A254658():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(7*x)-(4*x**2)))] }
-
-
-
-def A254659():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(8*x)-(5*x**2)))] }
-
-
-
-def A254660():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(6*x)-(2*x**2)))] }
-
-
-
-def A254662():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(7*x)-(3*x**2)))] }
-
-
-
-def A254663():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(7*x)-(2*x**2)))] }
-
-
-
-def A254664():
- x = SR.var('x')
- return { 'ogf': [((1+x)/(1-(8*x)-(3*x**2)))] }
-
-
-
-def A254667():
- x = SR.var('x')
- return { 'ogf': [((((2*x)-(2*x**2))+x**3)/(1-x)**2)] }
-
-
-
-def A254674():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(9*x**3))-(38*x**2))+(9*x)+1))/((x-1)*((x**2-(8*x))+1)*(x**2+(8*x)+1))))] }
-
-
-
-def A254675():
- x = SR.var('x')
- return { 'ogf': [((x*(((12*x**3)+(31*x**2))-(12*x)-1))/((x-1)*((x**2-(8*x))+1)*(x**2+(8*x)+1)))] }
-
-
-
-def A254676():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(234*x**3))-(1238*x**2))+(234*x)+1))/((x-1)*((x**2-(62*x))+1)*(x**2+(62*x)+1))))] }
-
-
-
-def A254681():
- x = SR.var('x')
- return { 'ogf': [((x+(11*x**2)+(11*x**3)+x**4)/((-1)+x)**10)] }
-
-
-
-def A254682():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(26*x**2)-(66*x**3)-(26*x**4)-x**5)/((-1)+x)**11)] }
-
-
-
-def A254683():
- x = SR.var('x')
- return { 'ogf': [((x+(57*x**2)+(302*x**3)+(302*x**4)+(57*x**5)+x**6)/((-1)+x)**12)] }
-
-
-
-def A254684():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(120*x**2)-(1191*x**3)-(2416*x**4)-(1191*x**5)-(120*x**6)-x**7)/((-1)+x)**13)] }
-
-
-
-def A254685():
- x = SR.var('x')
- return { 'ogf': [(1/((x**5-x**3-x**2-x)+1))] }
-
-
-
-def A254707():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x**2))/((((1-(2*x**2)-x**3)+(2*x**5)+(2*x**6))-x**8-(2*x**9))+x**11))] }
-
-
-
-def A254708():
- x = SR.var('x')
- return { 'ogf': [((2+x**2)/((((1-(2*x**2)-x**3)+(2*x**5)+(2*x**6))-x**8-(2*x**9))+x**11))] }
-
-
-
-def A254709():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+x**3)-(6*x**2))+x+1))/((x-1)*((x**2-(4*x))+1)*(x**2+(4*x)+1))))] }
-
-
-
-def A254710():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+(7*x**2))-x-1))/((x-1)*((x**2-(4*x))+1)*(x**2+(4*x)+1)))] }
-
-
-
-def A254711():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(4*x**3))-(54*x**2))+(4*x)+1))/((x-1)*((x**2-(14*x))+1)*(x**2+(14*x)+1))))] }
-
-
-
-def A254729():
- x = SR.var('x')
- return { 'ogf': [(((-1)+x**4)/((-1)+x+x**2))] }
-
-
-
-def A254745():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-x)*((1-x)+x**2)))] }
-
-
-
-def A254749():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x)-1))/(x-1)**4))] }
-
-
-
-def A254757():
- x = SR.var('x')
- return { 'ogf': [((17+x)/((1-(6*x))+x**2))] }
-
-
-
-def A254758():
- x = SR.var('x')
- return { 'ogf': [((1+(17*x))/((1-(6*x))+x**2))] }
-
-
-
-def A254759():
- x = SR.var('x')
- return { 'ogf': [((5-(13*x))/((1-(6*x))+x**2))] }
-
-
-
-def A254782():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(12*x))+1))/((x-1)*((x**2-(22*x))+1))))] }
-
-
-
-def A254835():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((((2*x**33)-(4*x**32))+(4*x**31))-(6*x**30))+(4*x**29)+(2*x**26))-(4*x**25))+(4*x**24))-(4*x**23))+(2*x**22))-(2*x**20)-(4*x**19))+(8*x**18))-(2*x**17))+(8*x**16)+(2*x**15))-(2*x**14)-(2*x**13)-(2*x**12)-(2*x**11)-(2*x**10)-(2*x**9)-(2*x**8)-(2*x**7)-(2*x**6)-(2*x**5)-(2*x**4)-x**3-(3*x**2)-2))/((x-1)**2*(x**2+1))))] }
-
-
-
-def A254855():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+x**3)-(12*x**2))+x+1))/((x-1)*((x**4-(26*x**2))+1))))] }
-
-
-
-def A254856():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+(13*x**2))-x-1))/((x-1)*((x**4-(26*x**2))+1)))] }
-
-
-
-def A254857():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**4+(7*x**3)+(54*x**2)+(7*x)+1))/((x-1)*((x**2-(26*x))+1)*(x**2+(26*x)+1))))] }
-
-
-
-def A254869():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/(1-x)**11)] }
-
-
-
-def A254870():
- x = SR.var('x')
- return { 'ogf': [((x+(11*x**2)+(11*x**3)+x**4)/((-1)+x)**12)] }
-
-
-
-def A254871():
- x = SR.var('x')
- return { 'ogf': [(((-x)-(26*x**2)-(66*x**3)-(26*x**4)-x**5)/((-1)+x)**13)] }
-
-
-
-def A254872():
- x = SR.var('x')
- return { 'ogf': [((x+(57*x**2)+(302*x**3)+(302*x**4)+(57*x**5)+x**6)/((-1)+x)**14)] }
-
-
-
-def A254874():
- x = SR.var('x')
- return { 'ogf': [((1+(2*x)+x**2+x**3)/((1-x)**2*(1-x**2)*(1-x**3)))] }
-
-
-
-def A254875():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+x**3)/((1-x)**2*(1-x**2)*(1-x**3)))] }
-
-
-
-def A254884():
- x = SR.var('x')
- return { 'ogf': [((x/((x**2-(3*x))+1))+(x/(x**2-x-1))+(x/((x**2+x)-1)))] }
-
-
-
-def A254895():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(12*x**3))-(58*x**2))+(12*x)+1))/((x-1)*((x**2-(10*x))+1)*(x**2+(10*x)+1))))] }
-
-
-
-def A254896():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(480*x**3))-(1762*x**2))+(480*x)+1))/((x-1)*((x**2-(98*x))+1)*(x**2+(98*x)+1))))] }
-
-
-
-def A254962():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+x**3)-(8*x**2))+x+1))/((x-1)*(x**2-(4*x)-1)*((x**2+(4*x))-1))))] }
-
-
-
-def A254963():
- x = SR.var('x')
- return { 'ogf': [((x*(7+(4*x)))/(1-x)**3)] }
-
-
-
-def A254964():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(3*x))+1)*(x**2+(4*x)+1))/((x-1)*((x**4-(22*x**2))+1))))] }
-
-
-
-def A254965():
- x = SR.var('x')
- return { 'ogf': [((x*((x**3+(11*x**2))-x-1))/((x-1)*((x**4-(22*x**2))+1)))] }
-
-
-
-def A254966():
- x = SR.var('x')
- return { 'ogf': [(-((x*(((x**4+(6*x**3))-(20*x**2))+(6*x)+1))/((x-1)*((x**2-(22*x))+1)*(x**2+(22*x)+1))))] }
-
-
-
-def A255043():
- x = SR.var('x')
- return { 'ogf': [((2*(1+x))/((1-x)*(1-(9*x))))] }
-
-
-
-def A255047():
- x = SR.var('x')
- return { 'ogf': [((((2*x**2)-(2*x))+1)/(((2*x)-1)*(x-1)))] }
-
-
-
-def A255051():
- x = SR.var('x')
- return { 'ogf': [((x*((((1+(3*x)+(6*x**2)+(2*x**3))-x**4)+x**5+(2*x**6))-(2*x**7)))/((1-x)**2*(1+x)**2*(1+x**2)**2))] }
-
-
-
-def A255115():
- x = SR.var('x')
- return { 'ogf': [(-((x**2+1)/(((2*x**3)+(2*x))-1)))] }
-
-
-
-def A255116():
- x = SR.var('x')
- return { 'ogf': [(-((x**2+1)/(((3*x**3)+(3*x))-1)))] }
-
-
-
-def A255117():
- x = SR.var('x')
- return { 'ogf': [(-((x**2+1)/(((4*x**3)+(4*x))-1)))] }
-
-
-
-def A255118():
- x = SR.var('x')
- return { 'ogf': [(-((x**2+1)/(((5*x**3)+(5*x))-1)))] }
-
-
-
-def A255119():
- x = SR.var('x')
- return { 'ogf': [(-((x**2+1)/(((6*x**3)+(6*x))-1)))] }
-
-
-
-def A255162():
- x = SR.var('x')
- return { 'ogf': [(-((2*((12*x)+1))/((12*x**2)-(12*x)-1)))] }
-
-
-
-def A255163():
- x = SR.var('x')
- return { 'ogf': [(-(((14*x)+1)/((12*x**2)-(12*x)-1)))] }
-
-
-
-def A255176():
- x = SR.var('x')
- return { 'ogf': [((3+x)/(1-x))] }
-
-
-
-def A255177():
- x = SR.var('x')
- return { 'ogf': [((1+(120*x)+(1191*x**2)+(2416*x**3)+(1191*x**4)+(120*x**5)+x**6)/(1-x)**6)] }
-
-
-
-def A255178():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+(246*x)+(4047*x**2)+(11572*x**3)+(4047*x**4)+(246*x**5)+x**6))/(1-x)**7)] }
-
-
-
-def A255179():
- x = SR.var('x')
- return { 'ogf': [((1+(502*x)+(14608*x**2)+(88234*x**3)+(156190*x**4)+(88234*x**5)+(14608*x**6)+(502*x**7)+x**8)/(1-x)**8)] }
-
-
-
-def A255181():
- x = SR.var('x')
- return { 'ogf': [((1+(120*x)+(1191*x**2)+(2416*x**3)+(1191*x**4)+(120*x**5)+x**6)/(1-x)**5)] }
-
-
-
-def A255182():
- x = SR.var('x')
- return { 'ogf': [((1+(247*x)+(4293*x**2)+(15619*x**3)+(15619*x**4)+(4293*x**5)+(247*x**6)+x**7)/(1-x)**6)] }
-
-
-
-def A255183():
- x = SR.var('x')
- return { 'ogf': [((1+(502*x)+(14608*x**2)+(88234*x**3)+(156190*x**4)+(88234*x**5)+(14608*x**6)+(502*x**7)+x**8)/(1-x)**7)] }
-
-
-
-def A255184():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-(22*x)))/((-1)+x)**3)] }
-
-
-
-def A255185():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-(23*x)))/((-1)+x)**3)] }
-
-
-
-def A255186():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-(24*x)))/((-1)+x)**3)] }
-
-
-
-def A255187():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)-(26*x)))/((-1)+x)**3)] }
-
-
-
-def A255211():
- x = SR.var('x')
- return { 'ogf': [((x*((4*x)+3))/(x-1)**4)] }
-
-
-
-def A255236():
- x = SR.var('x')
- return { 'ogf': [((5+x)/((1-(6*x))+x**2))] }
-
-
-
-def A255276():
- x = SR.var('x')
- return { 'ogf': [(-(((((((-1)+(20*x**2))-(56*x**3))+(49*x**4)+(36*x**5))-(128*x**6))+(128*x**7))/((((((1-(8*x))+(16*x**2)+(24*x**3))-(145*x**4))+(236*x**5))-(164*x**6))+(24*x**7)+(32*x**8))))] }
-
-
-
-def A255278():
- x = SR.var('x')
- return { 'ogf': [(-((((((-1)-(4*x))+(3*x**3))-(6*x**4))+(6*x**5)+(12*x**6)+(12*x**7))/((x+1)*(((((12*x**7)-(8*x**6))+(2*x**5)+(2*x**4)+(9*x**3))-(2*x**2)-(4*x))+1))))] }
-
-
-
-def A255280():
- x = SR.var('x')
- return { 'ogf': [(-((((((-1)-(2*x))+(7*x**2))-(12*x**3))+(16*x**5)+(16*x**6))/((((1-(5*x))+(3*x**2)+(9*x**3))-(16*x**4))+(16*x**6)+(16*x**7))))] }
-
-
-
-def A255282():
- x = SR.var('x')
- return { 'ogf': [(-((((((((1+(2*x))-(4*x**2)-(7*x**3))+(5*x**4))-(2*x**5))+(9*x**7))-(2*x**8))+(6*x**9))/((((((((-1)+(5*x))-(21*x**3))+(18*x**4)+(3*x**5))-(24*x**6))+(31*x**7))-(11*x**8))+(22*x**9)+(10*x**10))))] }
-
-
-
-def A255284():
- x = SR.var('x')
- return { 'ogf': [(-((((4*x)+1)*(x-1))/(((4*x)-1)*((7*x**2)-1))))] }
-
-
-
-def A255296():
- x = SR.var('x')
- return { 'ogf': [(-((((2*x)+1)*(x-1))/(((-1)+(2*x))*(((2*x**2)+(3*x))-1))))] }
-
-
-
-def A255299():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((((1-x)+x**2)-x**3-(4*x**4))+(2*x**5))-(2*x**6)))/(((((((1-(6*x))+(10*x**2))-(4*x**3)-(3*x**4))+(12*x**5))-(20*x**6))+(10*x**7))-(4*x**8)))] }
-
-
-
-def A255301():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x+(2*x**2)))/((1-(4*x))+x**2+(2*x**3)+(4*x**4)))] }
-
-
-
-def A255303():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(2*x**2)+(2*x**3))/((1-(3*x)-(2*x**2))*((1-(2*x))+(2*x**2))))] }
-
-
-
-def A255347():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3)*(1+x**5))/((1-x)**2*(1+x**4)**2))] }
-
-
-
-def A255368():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x)**2*(1+x**2))/(1+x**3)**2),
-((x*(1-x)**2*(1-x**3)**2*(1-x**4))/((1-x**2)*(1-x**6)**2))] }
-
-
-
-def A255371():
- x = SR.var('x')
- return { 'ogf': [((x*(x-1)**2)/(((10*x)-1)*((((9*x**3)-(9*x**2))+(10*x))-1)))] }
-
-
-
-def A255372():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x-1)**2)/(((10*x)-1)*((((9*x**4)-(9*x**3))+(10*x))-1)))] }
-
-
-
-def A255373():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x-1)**2)/(((10*x)-1)*((((9*x**5)-(9*x**4))+(10*x))-1)))] }
-
-
-
-def A255374():
- x = SR.var('x')
- return { 'ogf': [((x**4*(x-1)**2)/(((10*x)-1)*((((9*x**6)-(9*x**5))+(10*x))-1)))] }
-
-
-
-def A255375():
- x = SR.var('x')
- return { 'ogf': [((x**5*(x-1)**2)/(((10*x)-1)*((((9*x**7)-(9*x**6))+(10*x))-1)))] }
-
-
-
-def A255376():
- x = SR.var('x')
- return { 'ogf': [((x**6*(x-1)**2)/(((10*x)-1)*((((9*x**8)-(9*x**7))+(10*x))-1)))] }
-
-
-
-def A255377():
- x = SR.var('x')
- return { 'ogf': [((x**7*(x-1)**2)/(((10*x)-1)*((((9*x**9)-(9*x**8))+(10*x))-1)))] }
-
-
-
-def A255378():
- x = SR.var('x')
- return { 'ogf': [((x**8*(x-1)**2)/(((10*x)-1)*((((9*x**10)-(9*x**9))+(10*x))-1)))] }
-
-
-
-def A255379():
- x = SR.var('x')
- return { 'ogf': [((x**9*(x-1)**2)/(((10*x)-1)*((((9*x**11)-(9*x**10))+(10*x))-1)))] }
-
-
-
-def A255380():
- x = SR.var('x')
- return { 'ogf': [((x**10*(x-1)**2)/(((10*x)-1)*((((9*x**12)-(9*x**11))+(10*x))-1)))] }
-
-
-
-def A255381():
- x = SR.var('x')
- return { 'ogf': [((x-1)**2/((10*x)-1)**2)] }
-
-
-
-def A255386():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**4*(x-1)**2)/(((x**2-x)+1)*((x**2+x)-1)**3)))] }
-
-
-
-def A255442():
- x = SR.var('x')
- return { 'ogf': [(((1+(3*x))*(1-x))/((1-(3*x))*(1-(3*x**2))))] }
-
-
-
-def A255444():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+(2*x)+(7*x**4)+(4*x**5)+(2*x**6)))/(((((1-(4*x)-x**2)+(8*x**3)+(7*x**4))-(26*x**5))+(11*x**6)+(14*x**7)+(2*x**8))-(4*x**9)))] }
-
-
-
-def A255447():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x)*((1+x)-x**2))/((1-x-x**2)*((1-(3*x)-(5*x**2))+(11*x**3))))] }
-
-
-
-def A255449():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-x**2-(2*x**3)-(6*x**4)))/(((((1-(6*x))+(10*x**2))-(8*x**3))+(15*x**4))-(10*x**5)-(10*x**6)))] }
-
-
-
-def A255451():
- x = SR.var('x')
- return { 'ogf': [((1+x)/((1-(4*x)-x**2)+(4*x**3)+(8*x**4)))] }
-
-
-
-def A255453():
- x = SR.var('x')
- return { 'ogf': [((((1-x)+(2*x**2))-(4*x**3))/((1-x)*(((1-(5*x))+(6*x**2))-(4*x**3))))] }
-
-
-
-def A255455():
- x = SR.var('x')
- return { 'ogf': [(((((((1-x-(5*x**2))+(9*x**3))-(12*x**4))+(14*x**5))-(4*x**6))+(8*x**7))/(((((((1-(6*x))+(6*x**2)+(20*x**3))-(51*x**4))+(56*x**5))-(46*x**6))+(20*x**7))-(8*x**8)))] }
-
-
-
-def A255457():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((1+x)-x**2)+x**3))/(((1-(5*x))+(24*x**3))-(15*x**4)-(17*x**5)))] }
-
-
-
-def A255459():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+(6*x**2))/((1-x)*(1-(2*x))*(1-(3*x))))] }
-
-
-
-def A255461():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(((1+(2*x))-(3*x**2)-(6*x**3)-(2*x**4))+(4*x**5)))/((1+x)*(1-(2*x))*(((1-(4*x))+x**2+(2*x**4))-(4*x**5))))] }
-
-
-
-def A255463():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(3*x))*(1-(4*x))))] }
-
-
-
-def A255465():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1+x)*(1-(4*x))))] }
-
-
-
-def A255467():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(1-x))/((1-(4*x))*(1-(2*x))*(1+x)))] }
-
-
-
-def A255469():
- x = SR.var('x')
- return { 'ogf': [(((((((1+x)-(9*x**2))+(15*x**3)+(2*x**4))-(34*x**5))+(20*x**6))-(16*x**7)-(8*x**8))/((((((1-(5*x))+x**2+(25*x**3))-(44*x**4))+(2*x**5)+(56*x**6))-(40*x**7))+(24*x**8)+(16*x**9)))] }
-
-
-
-def A255471():
- x = SR.var('x')
- return { 'ogf': [((1+(3*x))/((1-x)*(1+(2*x))*(1-(4*x))))] }
-
-
-
-def A255474():
- x = SR.var('x')
- return { 'ogf': [((1-(8*x**2)-(16*x**3))/((1-(4*x))*(1-(2*x)-(4*x**2))))] }
-
-
-
-def A255476():
- x = SR.var('x')
- return { 'ogf': [(((1+(2*x))*(((((1+x)-(2*x**2)-x**3-(5*x**4)-(7*x**5))+(2*x**6))-(7*x**7))+(6*x**8)))/((((1-(3*x)-(6*x**2))+(9*x**3)+(9*x**4)+(7*x**5))-(2*x**6)-(15*x**7))+(4*x**8)+(8*x**9)+(8*x**10)))] }
-
-
-
-def A255501():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**8+(54*x**7)+(242*x**6))-(5354*x**5)-(24240*x**4)-(24406*x**3)-(6434*x**2)-(342*x)-1))/(x-1)**10))] }
-
-
-
-def A255563():
- x = SR.var('x')
- return { 'ogf': [((x*(1+x**3)*(1+x**5))/((1+x)*(1-x**4))**2)] }
-
-
-
-def A255631():
- x = SR.var('x')
- return { 'ogf': [(-((x**2+1)/(((4*x**3)+(3*x))-1)))] }
-
-
-
-def A255642():
- x = SR.var('x')
- return { 'ogf': [((x*((((((((((((((((2*x**20)-(6*x**19))+(6*x**17))-(3*x**16)-(14*x**15))+(38*x**14))-(46*x**13))+(26*x**12))-(16*x**11)-(10*x**10))+(48*x**9))-(31*x**8)-(4*x**7)-x**6)+(8*x**5))-(11*x**4))+(14*x**3))-(10*x**2))+(2*x))-1))/((x-1)**2*(x**2+x+1)**2*((((((x**8-x**7)+x**5)-x**4)+x**3)-x)+1)**2))] }
-
-
-
-def A255680():
- x = SR.var('x')
- return { 'ogf': [((x*((8*x**28)+(6*x**27)+(8*x**25)+(42*x**22)+(16*x**21)+(44*x**18)+(52*x**16)+(14*x**15)+(112*x**13)+(39*x**12)+(22*x**10)+(48*x**7)+(14*x**6)+(16*x**3)+(8*x)+1))/((x-1)**2*(x**2+x+1)**2*(x**4+x**3+x**2+x+1)**2*((((((x**8-x**7)+x**5)-x**4)+x**3)-x)+1)**2))] }
-
-
-
-def A255687():
- x = SR.var('x')
- return { 'ogf': [((x*(x+6))/(x-1)**4)] }
-
-
-
-def A255688():
- x = SR.var('x')
- return { 'ogf': [((((2*x)+1)/(2*sqrt((((4*x**2)-(8*x))+1))))+(1/2))] }
-
-
-
-def A255818():
- x = SR.var('x')
- return { 'ogf': [(-((x*((314*x**11)+(836*x**10)+(1460*x**9)+(1976*x**8)+(2384*x**7)+(2475*x**6)+(2355*x**5)+(1921*x**4)+(1384*x**3)+(850*x**2)+(424*x)+106))/((x-1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)*(x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A255821():
- x = SR.var('x')
- return { 'ogf': [(-(((x**2-x)+1)/((((36*x**3)-(36*x**2))+(37*x))-1)))] }
-
-
-
-def A255840():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(2*x)+(5*x**2)))/((1+x)*(1-x)**3))] }
-
-
-
-def A255842():
- x = SR.var('x')
- return { 'ogf': [((2*((6-(11*x))+(7*x**2)))/(1-x)**3)] }
-
-
-
-def A255843():
- x = SR.var('x')
- return { 'ogf': [((2*((2-(3*x))+(3*x**2)))/(1-x)**3)] }
-
-
-
-def A255844():
- x = SR.var('x')
- return { 'ogf': [((2*((3-(5*x))+(4*x**2)))/(1-x)**3)] }
-
-
-
-def A255845():
- x = SR.var('x')
- return { 'ogf': [((2*((5-(9*x))+(6*x**2)))/(1-x)**3)] }
-
-
-
-def A255846():
- x = SR.var('x')
- return { 'ogf': [((2*((7-(13*x))+(8*x**2)))/(1-x)**3)] }
-
-
-
-def A255847():
- x = SR.var('x')
- return { 'ogf': [((2*((8-(15*x))+(9*x**2)))/(1-x)**3)] }
-
-
-
-def A255848():
- x = SR.var('x')
- return { 'ogf': [((2*((9-(17*x))+(10*x**2)))/(1-x)**3)] }
-
-
-
-def A255870():
- x = SR.var('x')
- return { 'ogf': [(-((((5*x**6)+x**5)-(10*x**4)-(8*x**3)-(9*x**2)-(3*x)-1)/((x-1)**3*(x+1)*((x**2+x)-1))))] }
-
-
-
-def A255876():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**3)-(6*x**2)-x-4))/((x+1)*(x-1)**3))] }
-
-
-
-def A255877():
- x = SR.var('x')
- return { 'ogf': [((x*((-1)+(13*x)+(25*x**2)+(11*x**3)))/(1-x)**4)] }
-
-
-
-def A255978():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(2*x**2))-x**3))/((1-x)*(1+x+x**2)*(1-x-x**2)))] }
-
-
-
-def A255983():
- x = SR.var('x')
- return { 'ogf': [(-(((((((13835*x**5)-(8665*x**4))+(2585*x**3))-(415*x**2))+(35*x))-1)/(((((((18750*x**6)-(22500*x**5))+(11250*x**4))-(3000*x**3))+(450*x**2))-(36*x))+1)))] }
-
-
-
-def A255985():
- x = SR.var('x')
- return { 'ogf': [(-((((((((235446*x**6)-(145578*x**5))+(44934*x**4))-(7986*x**3))+(834*x**2))-(48*x))+1)/((((((((326592*x**7)-(381024*x**6))+(190512*x**5))-(52920*x**4))+(8820*x**3))-(882*x**2))+(49*x))-1)))] }
-
-
-
-def A256044():
- x = SR.var('x')
- return { 'ogf': [(-(((((((x**6-(27*x**5))+(177*x**4))-(328*x**3))+(177*x**2))-(27*x))+1)/((x-1)*(((x**3-(26*x**2))+(13*x))-1)*(((x**3-(13*x**2))+(26*x))-1))))] }
-
-
-
-def A256092():
- x = SR.var('x')
- return { 'ogf': [((2*x)/((1-(1-(8*x))**(1/4))*(1-(8*x))**(3/4)))] }
-
-
-
-def A256093():
- x = SR.var('x')
- return { 'ogf': [(2-((x*2)/(1-(1-(8*x))**(1/4))))] }
-
-
-
-def A256181():
- x = SR.var('x')
- return { 'ogf': [(-((x*((((((((((((x**12-(12*x**11))+(66*x**10))-(217*x**9))+(567*x**8))-(270*x**7))+(1608*x**6))-(541*x**5))+(419*x**4))-(184*x**3))+(58*x**2))-(11*x))+1))/(((((((((((((x**13-(13*x**12))+(78*x**11))-(286*x**10))+(715*x**9))-(1287*x**8))+(1716*x**7))-(1716*x**6))+(1287*x**5))-(715*x**4))+(286*x**3))-(78*x**2))+(13*x))-1)))] }
-
-
-
-def A256225():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**8+(5*x**7)+(16*x**6)+(25*x**5)+(31*x**4)+(25*x**3)+(16*x**2)+(5*x)+1))/((x-1)**5*(x+1)**2*(x**2+1)*(x**2+x+1))))] }
-
-
-
-def A256226():
- x = SR.var('x')
- return { 'ogf': [((x*((3*x**7)+(14*x**6)+(21*x**5)+(21*x**4)+(22*x**3)+(19*x**2)+(7*x)+1))/((x-1)**6*(x+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A256233():
- x = SR.var('x')
- return { 'ogf': [((((-1)+(6*x))-(3*x**2))/((1-x)*((1-(3*x))+x**2)))] }
-
-
-
-def A256235():
- x = SR.var('x')
- return { 'ogf': [((5*x*((2*x**14)+(19*x**13)+(97*x**12)+(277*x**11)+(591*x**10)+(955*x**9)+(1267*x**8)+(1355*x**7)+(1217*x**6)+(880*x**5)+(520*x**4)+(231*x**3)+(75*x**2)+(13*x)+1))/((x-1)**6*(x+1)**3*(x**2+1)**2*(x**2+x+1)**2))] }
-
-
-
-def A256239():
- x = SR.var('x')
- return { 'ogf': [(-((6*x*((9*x**13)+(77*x**12)+(247*x**11)+(485*x**10)+(744*x**9)+(990*x**8)+(1109*x**7)+(1029*x**6)+(809*x**5)+(551*x**4)+(301*x**3)+(109*x**2)+(19*x)+1))/((x-1)**7*(x+1)**2*(x**4+x**3+x**2+x+1)**2)))] }
-
-
-
-def A256309():
- x = SR.var('x')
- return { 'ogf': [(-((x**3*(x**4+x**2+x+1))/((x-1)**5*(x+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A256310():
- x = SR.var('x')
- return { 'ogf': [((x**3*(x**4+x**3+x**2+1))/((x-1)**6*(x+1)*(x**2+x+1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A256313():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**2+2)*(x**2+x+1))/((x-1)**4*(x+1)**2*(x**2+1)))] }
-
-
-
-def A256314():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((2*x**7)+(3*x**6)+(4*x**5)+(5*x**4)+(6*x**3)+(3*x**2)+(3*x)+1))/((x-1)**5*(x+1)**2*(x**2+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A256315():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x**8+x**7+(4*x**6)+(5*x**5)+(5*x**4)+(5*x**3)+(4*x**2)+x+1))/((x-1)**6*(x+1)**3*(x**2+1)*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A256316():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((2*x**6)+(4*x**5)+(6*x**4)+(6*x**3)+(7*x**2)+(4*x)+3))/((x-1)**5*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A256317():
- x = SR.var('x')
- return { 'ogf': [((x**2*(x+1)**2*(x**2+1)*(x**4+(2*x**3)+(2*x**2)+x+2))/((x-1)**6*(x**2+x+1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A256320():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x+1)**3)/((x-1)**3*(x**2+x+1))))] }
-
-
-
-def A256321():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**2+(2*x)+2)*((2*x**2)+(2*x)+1))/((x-1)**3*(x+1)*(x**2+x+1))))] }
-
-
-
-def A256322():
- x = SR.var('x')
- return { 'ogf': [(-((x*((2*x**2)+(3*x)+2)**2)/((x-1)**3*(x+1)*(x**2+x+1))))] }
-
-
-
-def A256327():
- x = SR.var('x')
- return { 'ogf': [((x*((5*x**7)+(13*x**6)+(24*x**5)+(29*x**4)+(28*x**3)+(17*x**2)+(8*x)+1))/((x-1)**4*(x+1)**2*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A256328():
- x = SR.var('x')
- return { 'ogf': [((x*(x+2)*(x**2+(4*x)+1))/((x-1)**4*(x+1)))] }
-
-
-
-def A256329():
- x = SR.var('x')
- return { 'ogf': [((x*(x**8+(14*x**7)+(38*x**6)+(67*x**5)+(80*x**4)+(74*x**3)+(46*x**2)+(20*x)+3))/((x-1)**4*(x+1)**2*(x**2+1)*(x**2+x+1)))] }
-
-
-
-def A256428():
- x = SR.var('x')
- return { 'ogf': [((x**2*(1-(2*x)))/((((((1-(8*x))+(22*x**2))-(26*x**3))+(14*x**4))-(5*x**5))+x**6))] }
-
-
-
-def A256429():
- x = SR.var('x')
- return { 'ogf': [(-(((3*x**2)-(3*x)-1)/((x-1)*((((5*x**3)-(2*x**2))+(2*x))-1))))] }
-
-
-
-def A256493():
- x = SR.var('x')
- return { 'ogf': [(-((((12*x**2)-(10*x))+1)/((x-1)*((2*x)-1)*((10*x)-1))))] }
-
-
-
-def A256494():
- x = SR.var('x')
- return { 'ogf': [(-((x**2*((x**3+x)-1))/((x-1)*(x+1)*((2*x)-1)*(x**2+1))))] }
-
-
-
-def A256496():
- x = SR.var('x')
- return { 'ogf': [(-((x*((59*x**6)+(146*x**5)+(201*x**4)+(195*x**3)+(159*x**2)+(94*x)+31))/((x-1)*(x+1)*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A256524():
- x = SR.var('x')
- return { 'ogf': [(((x**2+x+1)*((2*x**2)+1))/((x-1)**4*(x+1)**2*(x**2+1)))] }
-
-
-
-def A256525():
- x = SR.var('x')
- return { 'ogf': [(-((x**8+x**7+(4*x**6)+(5*x**5)+(5*x**4)+(5*x**3)+(4*x**2)+x+1)/((x-1)**5*(x+1)**2*(x**2+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A256539():
- x = SR.var('x')
- return { 'ogf': [(-((x**7+(4*x**6)+(5*x**5)+(7*x**4)+(6*x**3)+(6*x**2)+(2*x)+1)/((x-1)**5*(x**2+x+1)*(x**4+x**3+x**2+x+1))))] }
-
-
-
-def A256540():
- x = SR.var('x')
- return { 'ogf': [(((3*x**8)+(5*x**7)+(11*x**6)+(11*x**5)+(13*x**4)+(10*x**3)+(8*x**2)+(2*x)+1)/((x-1)**6*(x**2+x+1)**2*(x**4+x**3+x**2+x+1)))] }
-
-
-
-def A256643():
- x = SR.var('x')
- return { 'ogf': [(-((x*((824*x**15)+(2306*x**14)+(4280*x**13)+(5921*x**12)+(7229*x**11)+(7710*x**10)+(7530*x**9)+(6855*x**8)+(6180*x**7)+(5505*x**6)+(4830*x**5)+(3826*x**4)+(2659*x**3)+(1495*x**2)+(664*x)+166))/((x-1)*(x**2+x+1)*(x**4+x**3+x**2+x+1)*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A256645():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(22*x)))/(1-x)**4)] }
-
-
-
-def A256646():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(23*x)))/(1-x)**4)] }
-
-
-
-def A256647():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(24*x)))/(1-x)**4)] }
-
-
-
-def A256648():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(25*x)))/(1-x)**4)] }
-
-
-
-def A256649():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(26*x)))/(1-x)**4)] }
-
-
-
-def A256650():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(27*x)))/(1-x)**4)] }
-
-
-
-def A256666():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**3)-(3*x**2)-x)+5))/((x-1)**4*(x+1)))] }
-
-
-
-def A256668():
- x = SR.var('x')
- return { 'ogf': [(-((x*((11780*x**31)+(34030*x**30)+(65440*x**29)+(104700*x**28)+(150500*x**27)+(201530*x**26)+(256480*x**25)+(306187*x**24)+(350651*x**23)+(389872*x**22)+(423850*x**21)+(447350*x**20)+(461682*x**19)+(468156*x**18)+(468082*x**17)+(462770*x**16)+(453530*x**15)+(432510*x**14)+(403638*x**13)+(368224*x**12)+(327578*x**11)+(283010*x**10)+(235830*x**9)+(187348*x**8)+(144109*x**7)+(106113*x**6)+(73360*x**5)+(45850*x**4)+(26200*x**3)+(13100*x**2)+(5240*x)+1310))/((x-1)*(x**6+x**5+x**4+x**3+x**2+x+1)*(x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1)*(x**16+x**15+x**14+x**13+x**12+x**11+x**10+x**9+x**8+x**7+x**6+x**5+x**4+x**3+x**2+x+1))))] }
-
-
-
-def A256676():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**8+(3*x**7)+(7*x**6)+(4*x**5)+(3*x**4)+(4*x**3)+(7*x**2)+(3*x)+1))/((x-1)*(x**2+x+1)*(x**6+x**3+1))))] }
-
-
-
-def A256680():
- x = SR.var('x')
- return { 'ogf': [(-((x*(x**3-x**2-(4*x)-1))/((x-1)**2*(x+1))))] }
-
-
-
-def A256716():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(21*x)))/(1-x)**4)] }
-
-
-
-def A256718():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(20*x)))/(1-x)**4)] }
-
-
-
-def A256833():
- x = SR.var('x')
- return { 'ogf': [((6+(24*x)+(2*x**2))/(1-x)**3)] }
-
-
-
-def A256857():
- x = SR.var('x')
- return { 'ogf': [((x*((1+(4*x))-(2*x**2)))/(1-x)**4)] }
-
-
-
-def A256859():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x**2)))/(1-x)**6)] }
-
-
-
-def A256860():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(5*x**2)))/(1-x)**7)] }
-
-
-
-def A256861():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(6*x**2)))/(1-x)**8)] }
-
-
-
-def A256871():
- x = SR.var('x')
- return { 'ogf': [((6-(23*x))/((1-(4*x))*(1-(2*x))))] }
-
-
-
-def A256873():
- x = SR.var('x')
- return { 'ogf': [((3-(11*x))/((1-(4*x))*(1-(2*x))))] }
-
-
-
-def A256938():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt((((1-(6*x))+(5*x**2)+(8*x**3))-(4*x**4))))/(2*(x**2*(1-x)))),
-((1-(3*x)-sqrt((((1-(6*x))+(5*x**2)+(8*x**3))-(4*x**4))))/(2*(x**2*(1-x))))] }
-
-
-
-def A256939():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-sqrt((((1-(8*x))+(12*x**2)+(8*x**3))-(4*x**4))))/(2*(x**2*(1-x)))),
-((1-(4*x)-sqrt((((1-(8*x))+(12*x**2)+(8*x**3))-(4*x**4))))/(2*(x**2*(1-x))))] }
-
-
-
-def A256958():
- x = SR.var('x')
- return { 'ogf': [((x**(-50)*((-50)+(51*x)))/(1-x)**2)] }
-
-
-
-def A257042():
- x = SR.var('x')
- return { 'ogf': [((x*((10+(12*x))-(4*x**2)))/(1-x)**4)] }
-
-
-
-def A257051():
- x = SR.var('x')
- return { 'ogf': [((2*x**3*(((x**3-(4*x**2))+(6*x))-5))/(x-1)**5)] }
-
-
-
-def A257052():
- x = SR.var('x')
- return { 'ogf': [((x**3*(((x**3-(3*x**2))+(6*x))-10))/(x-1)**5)] }
-
-
-
-def A257055():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(3*x**2)))/(1-x)**5)] }
-
-
-
-def A257072():
- x = SR.var('x')
- return { 'ogf': [(8/((7-(27*x))+sqrt(((1-(10*x))+(9*x**2)))))] }
-
-
-
-def A257075():
- x = SR.var('x')
- return { 'ogf': [(((1-x)+x**2)/(1-x**3)),
-(((1-x)*(1-x**6))/((1-x**2)*(1-x**3)**2)),
-(1/(1+(x/(1+((2*x**2)/(1-(x/(1-(x/(1+x))))))))))] }
-
-
-
-def A257076():
- x = SR.var('x')
- return { 'ogf': [(((1-x**2)*(1-x**3)**2)/((1-x)*(1-x**6)))] }
-
-
-
-def A257088():
- x = SR.var('x')
- return { 'ogf': [((1+x+(2*x**2)+x**3+x**4)/((1-(2*x**2))+x**4)),
-(((1-x**3)*(1-x**4))/((1-x)*(1-x**2)**3))] }
-
-
-
-def A257143():
- x = SR.var('x')
- return { 'ogf': [((1-x**5)/((1-x)*(1-x**2)**2)),
-((1+x+x**2+x**3+x**4)/((1-(2*x**2))+x**4))] }
-
-
-
-def A257145():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1-x**2)**2)/(1-x**5)),
-(((1-(2*x**2))+x**4)/(1+x+x**2+x**3+x**4))] }
-
-
-
-def A257164():
- x = SR.var('x')
- return { 'ogf': [((x*(2+(4*x)+x**2+(3*x**3)))/(1-x**5))] }
-
-
-
-def A257170():
- x = SR.var('x')
- return { 'ogf': [(((1+x)*(1+x**3))/(1+x**4)),
-(((1-x**2)*(1-x**4)*(1-x**6))/((1-x)*(1-x**3)*(1-x**8))),
-(1/(1-(x/(1+(x/(1+(x/(1-(x/(1+((2*x)/(1-((2*x)/(1-(x/(2+x))))))))))))))))] }
-
-
-
-def A257171():
- x = SR.var('x')
- return { 'ogf': [((((((2*x**8)-(3*x**7)-(5*x**6))+(9*x**5)+(5*x**4))-(8*x**3))+x**2+(4*x)+1)/((x-1)**4*(x+1)**3))] }
-
-
-
-def A257174():
- x = SR.var('x')
- return { 'ogf': [(((1-x**4)*(1-x**5))/((1-x)*(1-x**2)*(1-x**3)**2)),
-(((1+x**2)*(1+x+x**2+x**3+x**4))/((1-(2*x**3))+x**6))] }
-
-
-
-def A257178():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt(((1-(3*x))*(1-(3*x)-(4*x**2)))))/(2*(x**2*(1-(3*x)))))] }
-
-
-
-def A257179():
- x = SR.var('x')
- return { 'ogf': [((1+x**5)/((1-x)*(1+x**4))),
-(((1-x**4)*(1-x**10))/((1-x)*(1-x**5)*(1-x**8))),
-((-1)+(1/(1-x))+(1/(1+x**4)))] }
-
-
-
-def A257181():
- x = SR.var('x')
- return { 'ogf': [(((1-x)*(1+x**4))/(1+x**5)),
-(((1-x)*(1-x**5)*(1-x**8))/((1-x**4)*(1-x**10)))] }
-
-
-
-def A257196():
- x = SR.var('x')
- return { 'ogf': [((1+(x/(1+x**2)))-(x**2/(1+x**4))),
-(((1+x)*(1+x**5))/((1+x**2)*(1+x**4)))] }
-
-
-
-def A257198():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**3)/((x-1)**2*(x+1)*((2*x)-1))))] }
-
-
-
-def A257199():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/(1-x)**6)] }
-
-
-
-def A257200():
- x = SR.var('x')
- return { 'ogf': [((x*(((-1)+x)-x**2))/((-1)+x)**7)] }
-
-
-
-def A257201():
- x = SR.var('x')
- return { 'ogf': [((x*((1-x)+x**2))/(1-x)**8)] }
-
-
-
-def A257272():
- x = SR.var('x')
- return { 'ogf': [((4-(15*x))/((1-(4*x))*(1-(2*x))))] }
-
-
-
-def A257273():
- x = SR.var('x')
- return { 'ogf': [((2-(7*x))/((1-(4*x))*(1-(2*x))))] }
-
-
-
-def A257285():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(4*x))*(1-(5*x))))] }
-
-
-
-def A257286():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(5*x))*(1-(6*x))))] }
-
-
-
-def A257287():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(6*x))*(1-(7*x))))] }
-
-
-
-def A257288():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(7*x))*(1-(8*x))))] }
-
-
-
-def A257289():
- x = SR.var('x')
- return { 'ogf': [((1-x)/((1-(8*x))*(1-(9*x))))] }
-
-
-
-def A257290():
- x = SR.var('x')
- return { 'ogf': [((1-(3*x)-sqrt(((1-(3*x))*(1-(3*x)-(4*x**2)))))/(2*x**2))] }
-
-
-
-def A257293():
- x = SR.var('x')
- return { 'ogf': [((x*(((3*x**8)+(7*x**7)+(6*x**6)+(26*x**5))-(260*x**4)-(357*x**3)-(46*x**2)-(26*x)-3))/((x-1)*(x**4-(10*x**2)-1)*((x**4+(10*x**2))-1)))] }
-
-
-
-def A257319():
- x = SR.var('x')
- return { 'ogf': [((1840*x**2)/(((47*x)-1)*(x-1)))] }
-
-
-
-def A257352():
- x = SR.var('x')
- return { 'ogf': [(((1-(2*x))+(51*x**2))/(1-x)**3)] }
-
-
-
-def A257363():
- x = SR.var('x')
- return { 'ogf': [((2*(3+x))/((6-(17*x)-(9*x**2))+(x*sqrt(((1-(6*x))+(5*x**2)))))),
-((6-(x*sqrt(((1-(6*x))+(5*x**2))))-(17*x)-(9*x**2))/((6-(36*x))+(42*x**2)+(38*x**3)))] }
-
-
-
-def A257388():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-sqrt(((1-(4*x))*(1-(4*x)-(4*x**2)))))/(2*x**2*(1-(4*x))))] }
-
-
-
-def A257389():
- x = SR.var('x')
- return { 'ogf': [((1-x**3-sqrt(((1-x**3)*(1-(4*x**2)-x**3))))/(2*x**2*(1-x**3)))] }
-
-
-
-def A257390():
- x = SR.var('x')
- return { 'ogf': [((1-(4*x)-sqrt(((1-(4*x))*(1-(4*x)-(4*x**2)))))/(2*x**2))] }
-
-
-
-def A257418():
- x = SR.var('x')
- return { 'ogf': [(-((((((2*x**5)-x**4)+(5*x**3))-(4*x**2)-(3*x))+2)/((x-1)*((2*x)-1)*((2*x**2)-1))))] }
-
-
-
-def A257448():
- x = SR.var('x')
- return { 'ogf': [((x*(1+(4*x)+x**2))/((1-x)**3*(1-(2*x))))] }
-
-
-
-def A257449():
- x = SR.var('x')
- return { 'ogf': [(-((x*(1+x)*(1+(10*x)+x**2))/(((-1)+x)**4*((-1)+(2*x)))))] }
-
-
-
-def A257464():
- x = SR.var('x')
- return { 'ogf': [(-(((((x**6-x**5)+(2*x**4)+(2*x**3)+(2*x**2))-x)+1)/((x**2+x+1)*(x+1)**2*(x-1)**5)))] }
-
-
-
-def A257515():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**3)-sqrt(((1-(2*x**3))*(1-(4*x**2)-(2*x**3)))))/(2*x**2*(1-(2*x**3))))] }
-
-
-
-def A257516():
- x = SR.var('x')
- return { 'ogf': [((1-x**3-sqrt(((1-x**3)*(1-(4*x**2)-x**3))))/(2*x**2))] }
-
-
-
-def A257517():
- x = SR.var('x')
- return { 'ogf': [((1-(2*x**3)-sqrt(((1-(2*x**3))*(1-(4*x**2)-(2*x**3)))))/(2*x**2))] }
-
-
-
-def A257520():
- x = SR.var('x')
- return { 'ogf': [(((1/sqrt(((1+x)*(1-(3*x)))))+(1/(1-x)))/2)] }
-
-
-
-def A257543():
- x = SR.var('x')
- return { 'ogf': [(1/((1-x**4)*((1+x**4)-x**5)))] }
-
-
-
-def A257546():
- x = SR.var('x')
- return { 'ogf': [(((-(3*(1+x)*(1+(2*x**2))))-(2/x))+((2*(2+(1/x)))/sqrt((1-(4*x**2)))))] }
-
-
-
-def A257548():
- x = SR.var('x')
- return { 'ogf': [((x*((x**5-x**4-(2*x**3))+x**2+1))/(1-(2*x)))] }
-
-
-
-def A257707():
- x = SR.var('x')
- return { 'ogf': [((x*(((10*x**12)+(3*x**11)+(66*x**10)+(414*x**9)+(624*x**8)+(6762*x**7))-(366022*x**6)-(73005*x**5)-(120678*x**4)-(6762*x**3)-(624*x**2)-(414*x)-56))/((x-1)*((x**12-(48670*x**6))+1)))] }
-
-
-
-def A257708():
- x = SR.var('x')
- return { 'ogf': [((x*(x**2+(4*x)+5)*((2*x**2)-(2*x)-5))/((x-1)*(x**2-(2*x)-1)*((x**2+(2*x))-1)))] }
-
-
-
-def A257709():
- x = SR.var('x')
- return { 'ogf': [((x*(((2*x**12)+x**11+(6*x**10)+(2*x**9)+(5*x**8)+(2*x**7))-(14*x**6)-(9*x**5)-(50*x**4)-(14*x**3)-(25*x**2)-(6*x)-8))/((x-1)*((x**12-(10*x**6))+1)))] }
-
-
-
-def A257710():
- x = SR.var('x')
- return { 'ogf': [((x*(((5*x**16)+(27*x**15)+(10*x**14)+(27*x**13)+(259*x**12)+(370*x**11)+(3441*x**10)+(4413*x**9))-(31820*x**8)-(99873*x**7)-(5170*x**6)-(4413*x**5)-(3441*x**4)-(370*x**3)-(259*x**2)-(27*x)-5))/((x-1)*(x**8-(86*x**4)-1)*((x**8+(86*x**4))-1)))] }
-
-
-
-def A257711():
- x = SR.var('x')
- return { 'ogf': [(-((21*x*((x**4-(245*x**2))+(156*x)+10))/((x-1)*((x**2-(16*x))+1)*(x**2+(16*x)+1))))] }
-
-
-
-def A257712():
- x = SR.var('x')
- return { 'ogf': [(-((12*x*((((3*x**8)+(7*x**6)+(13*x**5))-(3387*x**4))+(2312*x**3)+(75*x**2)+(13*x)+10))/((x-1)*((x**2-(6*x))+1)*(x**2+(6*x)+1)*(x**4+(34*x**2)+1))))] }
-
-
-
-def A257713():
- x = SR.var('x')
- return { 'ogf': [(-((15*x*(((((8*x**8)-(5*x**7))+(5*x**5))-(11445*x**4))+(7595*x**3)+(1444*x**2)+(385*x)+99))/((x-1)*(x**2-(6*x)-1)*((x**2+(6*x))-1)*(x**4+(38*x**2)+1))))] }
-
-
-
-def A257714():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*((((29*x**8)+(275*x**7)+(60401*x**6)+(606965*x**5))-(1.6071841615E10*x**4))+(195440845*x**3)+(19448935*x**2)+(88555*x)+8858))/((x-1)*((x**2-(322*x))+1)*(x**2+(322*x)+1)*(x**4+(103682*x**2)+1))))] }
-
-
-
-def A257715():
- x = SR.var('x')
- return { 'ogf': [(-((3*x*((((17*x**10)+(6808*x**9)+(56840*x**8)+(35265352*x**7)+(1.95707962E10*x**6))-(4.188939995034E12*x**5))+(3.38617906232E11*x**4)+(545777680*x**3)+(65374088*x**2)+(117800*x)+217))/((x-1)*((x**10-(8.85289046402E11*x**5))+1))))] }
-
-
-
-def A257721():
- x = SR.var('x')
- return { 'ogf': [(-((x*((x**2-(1064*x))+703))/((x-1)*((x**2-(1154*x))+1))))] }
-
-
-
-def A257722():
- x = SR.var('x')
- return { 'ogf': [(-((11*x*((((21*x**16)+(252*x**15)+(4025*x**14)+(359100*x**13)+(5562025*x**12)+(496218492*x**11)+(4.272895055E9*x**10)+(3.412929546E9*x**9))-(4.57241153867E11*x**8))+(1.97493713028E11*x**7)+(2.213671975E9*x**6)+(142920900*x**5)+(1601975*x**4)+(103428*x**3)+(1105*x**2)+(54*x)+86))/((x-1)*((x**2-(20*x))+1)*(x**2+(20*x)+1)*(x**4+(398*x**2)+1)*(x**8+(158402*x**4)+1))))] }
-
-
-
-def A257723():
- x = SR.var('x')
- return { 'ogf': [(-((2*x*((((473*x**4)+(1620*x**3))-(17683432*x**2))+(14982300*x)+23639))/((x-1)*((x**2-(194*x))+1)*(x**2+(194*x)+1))))] }
-
-
-
-def A257724():
- x = SR.var('x')
- return { 'ogf': [(-((35*x*((((35*x**4)+(8424*x**3))-(27932146*x**2))+(22702680*x)+1007))/((x-1)*((x**2-(898*x))+1)*(x**2+(898*x)+1))))] }
-
-
-
-def A257761():
- x = SR.var('x')
- return { 'ogf': [(-((46*x*(x-1)*(x+2)*((2*x)+1))/((x**4-(48*x**2))+1)))] }
-
-
-
-def A257765():
- x = SR.var('x')
- return { 'ogf': [(-((39*x*((x**5+x**4+(5*x**3))-(61*x**2)-(41*x)-5))/((x**6-(102*x**3))+1)))] }
-
-
-
-def A257767():
- x = SR.var('x')
- return { 'ogf': [(-((11*x*(((8*x**11)+(5*x**10)+(5*x**9)+(8*x**8)+(13*x**7)+(23*x**6))-(328*x**5)-(127*x**4)-(103*x**3)-(40*x**2)-(23*x)-13))/((x**12-(46*x**6))+1)))] }
-
-
-
-def A257780():
- x = SR.var('x')
- return { 'ogf': [(-((94*x*((x**3+x**2)-(55*x)-41))/((x**4-(96*x**2))+1)))] }
-
-
-
-def A257781():
- x = SR.var('x')
- return { 'ogf': [(-((5*x*(((39*x**11)+(31*x**10)+(27*x**9)+(23*x**8)+(21*x**7)+(21*x**6))-(211*x**5)-(159*x**4)-(131*x**3)-(99*x**2)-(77*x)-49))/((x**6-(2*x**3)-1)*((x**6+(2*x**3))-1))))] }
-
-
-
-def A257792():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-x-x**2-x**3-x**5)+x**8)-x**9))] }
-
-
-
-def A257823():
- x = SR.var('x')
- return { 'ogf': [(-((59*x*(x-1)*((7*x**6)+(16*x**5)+(163*x**4)+(354*x**3)+(163*x**2)+(16*x)+7))/((x**8-(1060*x**4))+1)))] }
-
-
-
-def A257824():
- x = SR.var('x')
- return { 'ogf': [(-((584*x*(x-1)*((7*x**6)+(47*x**5)+(2757*x**4)+(18250*x**3)+(2757*x**2)+(47*x)+7))/((x**4-(2136*x**2)-1)*((x**4+(2136*x**2))-1))))] }
-
-
-
-def A257825():
- x = SR.var('x')
- return { 'ogf': [(-((37*x*(((5*x**11)+(5*x**10)+(61*x**9)+(77*x**8)+(593*x**7)+(749*x**6))-(20645*x**5)-(16345*x**4)-(749*x**3)-(593*x**2)-(77*x)-61))/((x**6-(86*x**3)-1)*((x**6+(86*x**3))-1))))] }
-
-
-
-def A257826():
- x = SR.var('x')
- return { 'ogf': [(-((22*x*(((11*x**7)+(11*x**6)+(101*x**5)+(115*x**4))-(2545*x**3)-(1789*x**2)-(115*x)-101))/((x**8-(394*x**4))+1)))] }
-
-
-
-def A257827():
- x = SR.var('x')
- return { 'ogf': [(-((4*x*(((89*x**15)+(83*x**14)+(79*x**13)+(71*x**12)+(71*x**11)+(79*x**10)+(83*x**9)+(89*x**8))-(727*x**7)-(649*x**6)-(593*x**5)-(457*x**4)-(253*x**3)-(197*x**2)-(181*x)-163))/((x**16-(10*x**8))+1)))] }
-
-
-
-def A257828():
- x = SR.var('x')
- return { 'ogf': [(-((679*x*(x-1)*(x**4+(2277*x**3)+(5415742*x**2)+(2277*x)+1))/((x**6-(125619266*x**3))+1)))] }
-
-
-
-def A257844():
- x = SR.var('x')
- return { 'ogf': [((x**5*((3*x**2)+(2*x)+1))/((x-1)**2*(x+1)**2*(x**2+1)**2))] }
-
-
-
-def A257845():
- x = SR.var('x')
- return { 'ogf': [((x**6*((4*x**3)+(3*x**2)+(2*x)+1))/((x-1)**2*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A257846():
- x = SR.var('x')
- return { 'ogf': [((x**7*((5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)**2*(x+1)**2*((x**2-x)+1)**2*(x**2+x+1)**2))] }
-
-
-
-def A257847():
- x = SR.var('x')
- return { 'ogf': [((x**8*((6*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)**2*(x**6+x**5+x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A257848():
- x = SR.var('x')
- return { 'ogf': [((x**9*((7*x**6)+(6*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)**2*(x+1)**2*(x**2+1)**2*(x**4+1)**2))] }
-
-
-
-def A257849():
- x = SR.var('x')
- return { 'ogf': [((x**10*((8*x**7)+(7*x**6)+(6*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)**2*(x**2+x+1)**2*(x**6+x**3+1)**2))] }
-
-
-
-def A257850():
- x = SR.var('x')
- return { 'ogf': [((x**11*((9*x**8)+(8*x**7)+(7*x**6)+(6*x**5)+(5*x**4)+(4*x**3)+(3*x**2)+(2*x)+1))/((x-1)**2*(x+1)**2*((((x**4-x**3)+x**2)-x)+1)**2*(x**4+x**3+x**2+x+1)**2))] }
-
-
-
-def A257863():
- x = SR.var('x')
- return { 'ogf': [(1/(((1-x-x**2)+x**5)-x**6))] }
-
-
-
-def A257890():
- x = SR.var('x')
- return { 'ogf': [((((x**2-x)+1)*((x**2-(3*x))+3))/(x-1)**6),
-((((x**2-x)+1)*((x**2-(3*x))+3))/(x-1)**6)] }
-
-
-
-def A257931():
- x = SR.var('x')
- return { 'ogf': [((x*(1-x**3)*(1-x**5))/(((1-x)+x**2)*((1-x**4)+x**8)))] }
-
-
-
-def A257939():
- x = SR.var('x')
- return { 'ogf': [(-((2*x**2*((3*x**3)+(19*x**2)+(57*x)+1))/((x-1)*((x**2-(18*x))+1)*(x**2+(18*x)+1))))] }
-
-
-
-def A257940():
- x = SR.var('x')
- return { 'ogf': [((x**2*(((3*x**3)+(17*x**2))-(51*x)-1))/((x-1)*((x**2-(18*x))+1)*(x**2+(18*x)+1)))] }
-
-
-
-def A257954():
- x = SR.var('x')
- return { 'ogf': [(-((7*x*((((847*x**4)+(29708856*x**3))-(1.309948358220074E15*x**2))+(1.916637135984E12*x)+54328627))/((x-1)*((x**2-(16386302*x))+1)*(x**2+(16386302*x)+1))))] }
-
-
-
-def A257975():
- x = SR.var('x')
- return { 'ogf': [(-((10*x*((((211462*x**8)+(1.98379896430716E14*x**7)+(1.1072383489254816E22*x**6)+(3.432211973565491E22*x**5))-(1.4213722750292213E25*x**4))+(2.0568424419816145E19*x**3)+(2.1924680085E10*x**2)+(297*x)+97))/((x-1)*((x**2-(1860498*x))+1)*(x**2+(1860498*x)+1)*(x**4+(3.461452808002E12*x**2)+1))))] }
-
-
diff --git a/logs/.gitignore b/logs/.gitignore
new file mode 100644
index 0000000..d6b7ef3
--- /dev/null
+++ b/logs/.gitignore
@@ -0,0 +1,2 @@
+*
+!.gitignore
diff --git a/logs/copyScript b/logs/copyScript
deleted file mode 100644
index e69de29..0000000
diff --git a/logs/exception.txt b/logs/exception.txt
deleted file mode 100644
index e69de29..0000000
diff --git a/logs/fail.txt b/logs/fail.txt
deleted file mode 100644
index e69de29..0000000
diff --git a/logs/suc.txt b/logs/suc.txt
deleted file mode 100644
index b1943c4..0000000
--- a/logs/suc.txt
+++ /dev/null
@@ -1,93 +0,0 @@
- 1/(x^47 - 47*x^46 + 1081*x^45 - 16215*x^44 + 178365*x^43 - 1533939*x^42+ 10737573*x^41 - 62891499*x^40 + 314457495*x^39 - 1362649145*x^38 +5178066751.0*x^37 - 17417133617.0*x^36 + 52251400851.0*x^35 -140676848445.0*x^34 + 341643774795.0*x^33 - 751616304549.0*x^32 +1503232609098.0*x^31 - 2741188875414.0*x^30 + 4568648125690.0*x^29 -6973199770790.0*x^28 + 9762479679106.0*x^27 - 12551759587422.0*x^26 +14833897694226.0*x^25 - 16123801841550.0*x^24 + 16123801841550.0*x^23 -14833897694226.0*x^22 + 12551759587422.0*x^21 - 9762479679106.0*x^20 +6973199770790.0*x^19 - 4568648125690.0*x^18 + 2741188875414.0*x^17 -1503232609098.0*x^16 + 751616304549.0*x^15 - 341643774795.0*x^14 +140676848445.0*x^13 - 52251400851.0*x^12 + 17417133617.0*x^11 -5178066751.0*x^10 + 1362649145*x^9 - 314457495*x^8 + 62891499*x^7 -10737573*x^6 + 1533939*x^5 - 178365*x^4 + 16215*x^3 - 1081*x^2 + 47*x -1)
- 1/(x^48 - 48*x^47 + 1128*x^46 - 17296*x^45 + 194580*x^44 - 1712304*x^43+ 12271512*x^42 - 73629072*x^41 + 377348994*x^40 - 1677106640*x^39 +6540715896.0*x^38 - 22595200368.0*x^37 + 69668534468.0*x^36 -192928249296.0*x^35 + 482320623240.0*x^34 - 1093260079344.0*x^33 +2254848913647.0*x^32 - 4244421484512.0*x^31 + 7309837001104.0*x^30 -11541847896480.0*x^29 + 16735679449896.0*x^28 - 22314239266528.0*x^27 +27385657281648.0*x^26 - 30957699535776.0*x^25 + 32247603683100.0*x^24 -30957699535776.0*x^23 + 27385657281648.0*x^22 - 22314239266528.0*x^21 +16735679449896.0*x^20 - 11541847896480.0*x^19 + 7309837001104.0*x^18 -4244421484512.0*x^17 + 2254848913647.0*x^16 - 1093260079344.0*x^15 +482320623240.0*x^14 - 192928249296.0*x^13 + 69668534468.0*x^12 -22595200368.0*x^11 + 6540715896.0*x^10 - 1677106640*x^9 + 377348994*x^8- 73629072*x^7 + 12271512*x^6 - 1712304*x^5 + 194580*x^4 - 17296*x^3 +1128*x^2 - 48*x + 1)
- 1/(x^49 - 49*x^48 + 1176*x^47 - 18424*x^46 + 211876*x^45 - 1906884*x^44+ 13983816*x^43 - 85900584*x^42 + 450978066*x^41 - 2054455634*x^40 +8217822536.0*x^39 - 29135916264.0*x^38 + 92263734836.0*x^37 -262596783764.0*x^36 + 675248872536.0*x^35 - 1575580702584.0*x^34 +3348108992991.0*x^33 - 6499270398159.0*x^32 + 11554258485616.0*x^31 -18851684897584.0*x^30 + 28277527346376.0*x^29 - 39049918716424.0*x^28 +49699896548176.0*x^27 - 58343356817424.0*x^26 + 63205303218876.0*x^25 -63205303218876.0*x^24 + 58343356817424.0*x^23 - 49699896548176.0*x^22 +39049918716424.0*x^21 - 28277527346376.0*x^20 + 18851684897584.0*x^19 -11554258485616.0*x^18 + 6499270398159.0*x^17 - 3348108992991.0*x^16 +1575580702584.0*x^15 - 675248872536.0*x^14 + 262596783764.0*x^13 -92263734836.0*x^12 + 29135916264.0*x^11 - 8217822536.0*x^10 +2054455634*x^9 - 450978066*x^8 + 85900584*x^7 - 13983816*x^6 +1906884*x^5 - 211876*x^4 + 18424*x^3 - 1176*x^2 + 49*x - 1)
- (x^98 - x^97 + x^96 - 6*x^95 + 6*x^94 + 9*x^92 - 9*x^91 - 15*x^90 +10*x^89 + 5*x^88 + 31*x^87 - 36*x^86 - 15*x^85 - 9*x^84 + 38*x^83 +52*x^82 - 52*x^81 - 23*x^80 - 91*x^79 + 130*x^78 + 51*x^77 + 9*x^76 -120*x^75 - 140*x^74 + 206*x^73 + 58*x^72 + 102*x^71 - 276*x^70 - 90*x^69+ 91*x^68 + 203*x^67 + 202*x^66 - 391*x^65 - 80*x^64 - 145*x^63 +531*x^62 + 114*x^61 - 345*x^60 - 209*x^59 - 151*x^58 + 616*x^57 +19*x^56 - 19*x^55 - 545*x^54 - 60*x^53 + 435*x^52 + 225*x^51 + 135*x^50- 840*x^49 + 135*x^48 + 225*x^47 + 435*x^46 - 60*x^45 - 545*x^44 -19*x^43 + 19*x^42 + 616*x^41 - 151*x^40 - 209*x^39 - 345*x^38 + 114*x^37+ 531*x^36 - 145*x^35 - 80*x^34 - 391*x^33 + 202*x^32 + 203*x^31 +91*x^30 - 90*x^29 - 276*x^28 + 102*x^27 + 58*x^26 + 206*x^25 - 140*x^24- 120*x^23 + 9*x^22 + 51*x^21 + 130*x^20 - 91*x^19 - 23*x^18 - 52*x^17 +52*x^16 + 38*x^15 - 9*x^14 - 15*x^13 - 36*x^12 + 31*x^11 + 5*x^10 +10*x^9 - 15*x^8 - 9*x^7 + 9*x^6 + 6*x^4 - 6*x^3 + x^2 - x + 1)/(x^29 -2*x^28 + x^27 - x^2 + 2*x - 1)
- (x^72 - 6*x^71 + 21*x^70 - 56*x^69 + 126*x^68 - 252*x^67 + 462*x^66 -792*x^65 + 1287*x^64 - 2002*x^63 + 3003*x^62 - 4368*x^61 + 6188*x^60 -8562*x^59 + 11592*x^58 - 15378*x^57 + 20013*x^56 - 25578*x^55 +32137*x^54 - 39732*x^53 + 48378*x^52 - 58058*x^51 + 68718*x^50 -80262*x^49 + 92547*x^48 - 105378*x^47 + 118518*x^46 - 131698*x^45 +144627*x^44 - 157002*x^43 + 168518*x^42 - 178878*x^41 + 187803*x^40 -195042*x^39 + 200382*x^38 - 203658*x^37 + 204763*x^36 - 203658*x^35 +200382*x^34 - 195042*x^33 + 187803*x^32 - 178878*x^31 + 168518*x^30 -157002*x^29 + 144627*x^28 - 131698*x^27 + 118518*x^26 - 105378*x^25 +92547*x^24 - 80262*x^23 + 68718*x^22 - 58058*x^21 + 48378*x^20 -39732*x^19 + 32137*x^18 - 25578*x^17 + 20013*x^16 - 15378*x^15 +11592*x^14 - 8562*x^13 + 6188*x^12 - 4368*x^11 + 3003*x^10 - 2002*x^9 +1287*x^8 - 792*x^7 + 462*x^6 - 252*x^5 + 126*x^4 - 56*x^3 + 21*x^2 - 6*x+ 1)/(x^74 - 2*x^73 + x^72 - 5*x^67 + 10*x^66 - 5*x^65 + 15*x^60 -30*x^59 + 15*x^58 - 30*x^53 + 60*x^52 - 30*x^51 + 45*x^46 - 90*x^45 +45*x^44 - 51*x^39 + 102*x^38 - 51*x^37 + 45*x^32 - 90*x^31 + 45*x^30 -30*x^25 + 60*x^24 - 30*x^23 + 15*x^18 - 30*x^17 + 15*x^16 - 5*x^11 +10*x^10 - 5*x^9 + x^4 - 2*x^3 + 2*x - 1)
- (x^120 - 6*x^119 + 15*x^118 - 14*x^117 - 15*x^116 + 48*x^115 - 8*x^114 -120*x^113 + 174*x^112 + 20*x^111 - 294*x^110 + 204*x^109 + 310*x^108 -600*x^107 + 126*x^106 + 580*x^105 - 471*x^104 - 414*x^103 + 791*x^102 -42*x^101 - 609*x^100 - 104*x^99 + 1164*x^98 - 480*x^97 - 1454*x^96 +1428*x^95 + 1566*x^94 - 3580*x^93 + 909*x^92 + 3486*x^91 - 3149*x^90 -2142*x^89 + 5046*x^88 - 1274*x^87 - 3471*x^86 + 1890*x^85 + 3331*x^84 -3300*x^83 - 2550*x^82 + 4284*x^81 + 2886*x^80 - 8880*x^79 + 2864*x^78 +8400*x^77 - 8163*x^76 - 4942*x^75 + 12825*x^74 - 4074*x^73 - 8485*x^72 +6804*x^71 + 5286*x^70 - 8600*x^69 - 1230*x^68 + 7140*x^67 + 1790*x^66 -11700*x^65 + 5025*x^64 + 10430*x^63 - 11115*x^62 - 6090*x^61 +17170*x^60 - 6090*x^59 - 11115*x^58 + 10430*x^57 + 5025*x^56 -11700*x^55 + 1790*x^54 + 7140*x^53 - 1230*x^52 - 8600*x^51 + 5286*x^50 +6804*x^49 - 8485*x^48 - 4074*x^47 + 12825*x^46 - 4942*x^45 - 8163*x^44 +8400*x^43 + 2864*x^42 - 8880*x^41 + 2886*x^40 + 4284*x^39 - 2550*x^38 -3300*x^37 + 3331*x^36 + 1890*x^35 - 3471*x^34 - 1274*x^33 + 5046*x^32 -2142*x^31 - 3149*x^30 + 3486*x^29 + 909*x^28 - 3580*x^27 + 1566*x^26 +1428*x^25 - 1454*x^24 - 480*x^23 + 1164*x^22 - 104*x^21 - 609*x^20 -42*x^19 + 791*x^18 - 414*x^17 - 471*x^16 + 580*x^15 + 126*x^14 -600*x^13 + 310*x^12 + 204*x^11 - 294*x^10 + 20*x^9 + 174*x^8 - 120*x^7 -8*x^6 + 48*x^5 - 15*x^4 - 14*x^3 + 15*x^2 - 6*x + 1)/(x^31 - 2*x^30 +x^29 - x^2 + 2*x - 1)
- (x^104 - x^103 + x^102 - x^101 + x^100 + 6*x^99 - 6*x^98 - 7*x^97 +7*x^96 + 21*x^94 - 21*x^93 - 56*x^92 + 56*x^91 + 63*x^90 - 28*x^89 -49*x^88 - 140*x^87 + 161*x^86 + 322*x^85 - 287*x^84 - 364*x^83 +119*x^82 + 364*x^81 + 511*x^80 - 679*x^79 - 1134*x^78 + 994*x^77 +1323*x^76 - 518*x^75 - 1288*x^74 - 987*x^73 + 1799*x^72 + 2436*x^71 -2324*x^70 - 2876*x^69 + 1616*x^68 + 2612*x^67 + 643*x^66 - 2869*x^65 -2780*x^64 + 3368*x^63 + 3444*x^62 - 2898*x^61 - 2758*x^60 + 1092*x^59 +2212*x^58 + 637*x^57 - 2149*x^56 - 1234*x^55 + 2312*x^54 + 544*x^53 -2294*x^52 + 544*x^51 + 2312*x^50 - 1234*x^49 - 2149*x^48 + 637*x^47 +2212*x^46 + 1092*x^45 - 2758*x^44 - 2898*x^43 + 3444*x^42 + 3368*x^41 -2780*x^40 - 2869*x^39 + 643*x^38 + 2612*x^37 + 1616*x^36 - 2876*x^35 -2324*x^34 + 2436*x^33 + 1799*x^32 - 987*x^31 - 1288*x^30 - 518*x^29 +1323*x^28 + 994*x^27 - 1134*x^26 - 679*x^25 + 511*x^24 + 364*x^23 +119*x^22 - 364*x^21 - 287*x^20 + 322*x^19 + 161*x^18 - 140*x^17 -49*x^16 - 28*x^15 + 63*x^14 + 56*x^13 - 56*x^12 - 21*x^11 + 21*x^10 +7*x^8 - 7*x^7 - 6*x^6 + 6*x^5 + x^4 - x^3 + x^2 - x + 1)/(x^33 - 2*x^32+ x^31 - x^2 + 2*x - 1)
- (x^88 - 8*x^87 + 28*x^86 - 44*x^85 - 18*x^84 + 224*x^83 - 410*x^82 +116*x^81 + 837*x^80 - 1516*x^79 + 420*x^78 + 2148*x^77 - 3001*x^76 -288*x^75 + 4500*x^74 - 3128*x^73 - 3980*x^72 + 7480*x^71 - 340*x^70 -9876*x^69 + 8807*x^68 + 4416*x^67 - 13566*x^66 + 6380*x^65 + 8597*x^64 -12664*x^63 + 850*x^62 + 12224*x^61 - 9975*x^60 - 5868*x^59 + 16304*x^58- 7236*x^57 - 11250*x^56 + 16264*x^55 - 1958*x^54 - 12096*x^53 +8738*x^52 + 4620*x^51 - 9128*x^50 + 1028*x^49 + 7934*x^48 - 7424*x^47 -904*x^46 + 8168*x^45 - 6576*x^44 - 1304*x^43 + 5488*x^42 - 1360*x^41 -3017*x^40 + 852*x^39 + 3744*x^38 - 3428*x^37 - 236*x^36 + 2568*x^35 -2346*x^34 + 1192*x^33 + 461*x^32 - 964*x^31 + 104*x^30 + 232*x^29 +1131*x^28 - 1536*x^27 + 200*x^26 + 1068*x^25 - 974*x^24 + 688*x^23 -460*x^22 + 228*x^21 + 74*x^20 - 184*x^19 + 358*x^18 - 364*x^17 +201*x^16 + 88*x^15 - 186*x^14 + 156*x^13 - 60*x^12 + 28*x^11 + 42*x^10 -108*x^9 + 158*x^8 - 144*x^7 + 116*x^6 - 76*x^5 + 53*x^4 - 28*x^3 +14*x^2 - 4*x + 1)/(x^26 - 3*x^25 + 3*x^24 - x^23 - x^3 + 3*x^2 - 3*x +1)
- (74912366592.0*x^25 - 306741510144.0*x^24 + 191853232128.0*x^23 +696066195456.0*x^22 - 1116257691648.0*x^21 + 61946750976.0*x^20 +954920626560.0*x^19 - 586000881536.0*x^18 - 201394283680.0*x^17 +325918823200.0*x^16 - 64453194360.0*x^15 - 61565252344.0*x^14 +34499909994.0*x^13 - 252316410*x^12 - 4821872416.0*x^11 +1394692983*x^10 + 82789704*x^9 - 129846695*x^8 + 27076656*x^7 +87766*x^6 - 1112542*x^5 + 249408*x^4 - 28680*x^3 + 1899*x^2 - 68*x +1)/(599298932736.0*x^26 - 1874720194560.0*x^25 - 182025584640.0*x^24 +5525834563584.0*x^23 - 4322457575424.0*x^22 - 3575911532544.0*x^21 +5523487742976.0*x^20 - 251683981056.0*x^19 - 2601632842048.0*x^18 +1021347555264.0*x^17 + 479134405744.0*x^16 - 400999814928.0*x^15 +12546207684.0*x^14 + 65017917068.0*x^13 - 17950700415.0*x^12 -3314466760.0*x^11 + 2491238062.0*x^10 - 284253852*x^9 - 103321697*x^8 +36818048*x^7 - 2956968*x^6 - 701164*x^5 + 218511*x^4 - 27432*x^3 +1878*x^2 - 68*x + 1)
- (24970788864.0*x^25 + 97271414784.0*x^24 - 35092168704.0*x^23 -244774010880.0*x^22 + 288554182656.0*x^21 + 78159888384.0*x^20 -285741722496.0*x^19 + 93926071168.0*x^18 + 94759824992.0*x^17 -71791048288.0*x^16 - 2466834328.0*x^15 + 17752007880.0*x^14 -4951791366.0*x^13 - 1310451626*x^12 + 974426255*x^11 - 120035252*x^10 -49699215*x^9 + 19619492*x^8 - 1878634*x^7 - 390120*x^6 + 141652*x^5 -19722*x^4 + 1491*x^3 - 60*x^2 + x)/(599298932736.0*x^26 -1874720194560.0*x^25 - 182025584640.0*x^24 + 5525834563584.0*x^23 -4322457575424.0*x^22 - 3575911532544.0*x^21 + 5523487742976.0*x^20 -251683981056.0*x^19 - 2601632842048.0*x^18 + 1021347555264.0*x^17 +479134405744.0*x^16 - 400999814928.0*x^15 + 12546207684.0*x^14 +65017917068.0*x^13 - 17950700415.0*x^12 - 3314466760.0*x^11 +2491238062.0*x^10 - 284253852*x^9 - 103321697*x^8 + 36818048*x^7 -2956968*x^6 - 701164*x^5 + 218511*x^4 - 27432*x^3 + 1878*x^2 - 68*x + 1)
- (625*x^20*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) - 3500*x^19*(-x + 1)^(3*x^3 +3*x^2 + 3*x) + 6350*x^18*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) - 7660*x^17*(-x+ 1)^(3*x^3 + 3*x^2 + 3*x) + 28621*x^16*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) -65936*x^15*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) + 59976*x^14*(-x + 1)^(3*x^3 +3*x^2 + 3*x) - 86608*x^13*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) +240978*x^12*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) - 254472*x^11*(-x + 1)^(3*x^3+ 3*x^2 + 3*x) + 140596*x^10*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) -359496*x^9*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) + 498994*x^8*(-x + 1)^(3*x^3 +3*x^2 + 3*x) - 177552*x^7*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) +161672*x^6*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) - 357328*x^5*(-x + 1)^(3*x^3 +3*x^2 + 3*x) + 141629*x^4*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) + 34516*x^3*(-x+ 1)^(3*x^3 + 3*x^2 + 3*x) + 2606*x^2*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) +84*x*(-x + 1)^(3*x^3 + 3*x^2 + 3*x) + (-x + 1)^(3*x^3 + 3*x^2 +3*x))/(x^3 - 3*x^2 + 3*x - 1)
- -1
- -1
- -1
- -(x^34 - 7*x^33 - 109*x^32 + 861*x^31 + 3521*x^30 - 36273*x^29 -29377*x^28 + 686517*x^27 - 338040*x^26 - 6708699*x^25 + 7443809*x^24 +37223601*x^23 - 54160427*x^22 - 123372421*x^21 + 206819317*x^20 +249194245*x^19 - 458919487*x^18 - 303976032*x^17 + 612805499*x^16 +207743591*x^15 - 496137395*x^14 - 56233657*x^13 + 240612231*x^12 -14684235*x^11 - 66016499*x^10 + 13467571*x^9 + 8754480*x^8 - 2997721*x^7- 315889*x^6 + 218447*x^5 - 12057*x^4 - 3891*x^3 + 311*x^2 + 23*x -1)/(x^36 - 8*x^35 - 138*x^34 + 1224*x^33 + 5736*x^32 - 62874*x^31 -81796*x^30 + 1503868*x^29 - 94620*x^28 - 19237868*x^27 + 13835164*x^26 +141424642*x^25 - 149620588*x^24 - 626694028*x^23 + 777289050*x^22 +1717916424*x^21 - 2310327672.0*x^20 - 2919950172.0*x^19 +4169343006.0*x^18 + 2978277152.0*x^17 - 4669345206.0*x^16 -1630080704*x^15 + 3235975264.0*x^14 + 274712602*x^13 - 1335612340*x^12 +154307596*x^11 + 295510396*x^10 - 83558644*x^9 - 25517604*x^8 +12931566*x^7 - 443404*x^6 - 453004*x^5 + 42422*x^4 + 6080*x^3 - 576*x^2- 36*x + 1)
- (x^34 - 7*x^33 - 109*x^32 + 861*x^31 + 3521*x^30 - 36273*x^29 -29377*x^28 + 686517*x^27 - 338040*x^26 - 6708699*x^25 + 7443809*x^24 +37223601*x^23 - 54160427*x^22 - 123372421*x^21 + 206819317*x^20 +249194245*x^19 - 458919487*x^18 - 303976032*x^17 + 612805499*x^16 +207743591*x^15 - 496137395*x^14 - 56233657*x^13 + 240612231*x^12 -14684235*x^11 - 66016499*x^10 + 13467571*x^9 + 8754480*x^8 - 2997721*x^7- 315889*x^6 + 218447*x^5 - 12057*x^4 - 3891*x^3 + 311*x^2 + 23*x -1)/(x^36 - 8*x^35 - 138*x^34 + 1224*x^33 + 5736*x^32 - 62874*x^31 -81796*x^30 + 1503868*x^29 - 94620*x^28 - 19237868*x^27 + 13835164*x^26 +141424642*x^25 - 149620588*x^24 - 626694028*x^23 + 777289050*x^22 +1717916424*x^21 - 2310327672.0*x^20 - 2919950172.0*x^19 +4169343006.0*x^18 + 2978277152.0*x^17 - 4669345206.0*x^16 -1630080704*x^15 + 3235975264.0*x^14 + 274712602*x^13 - 1335612340*x^12 +154307596*x^11 + 295510396*x^10 - 83558644*x^9 - 25517604*x^8 +12931566*x^7 - 443404*x^6 - 453004*x^5 + 42422*x^4 + 6080*x^3 - 576*x^2- 36*x + 1)
- -1
- -1
- (x^34 + 34*x^33 + 561*x^32 + 5984*x^31 + 46376*x^30 + 278256*x^29 +1344904*x^28 + 5379616*x^27 + 18156204*x^26 + 52451256*x^25 +131128140*x^24 + 286097760*x^23 + 548354040*x^22 + 927983760*x^21 +1391975640*x^20 + 1855967520*x^19 + 2203961430.0*x^18 +2333606220.0*x^17 + 2203961430.0*x^16 + 1855967520*x^15 +1391975640*x^14 + 927983760*x^13 + 548354040*x^12 + 286097760*x^11 +131128140*x^10 + 52451256*x^9 + 18156204*x^8 + 5379616*x^7 + 1344904*x^6+ 278256*x^5 + 46376*x^4 + 5984*x^3 + 561*x^2 + 34*x + 1)/(x^34 -34*x^33 + 561*x^32 - 5984*x^31 + 46376*x^30 - 278256*x^29 + 1344904*x^28- 5379616*x^27 + 18156204*x^26 - 52451256*x^25 + 131128140*x^24 -286097760*x^23 + 548354040*x^22 - 927983760*x^21 + 1391975640*x^20 -1855967520*x^19 + 2203961430.0*x^18 - 2333606220.0*x^17 +2203961430.0*x^16 - 1855967520*x^15 + 1391975640*x^14 - 927983760*x^13 +548354040*x^12 - 286097760*x^11 + 131128140*x^10 - 52451256*x^9 +18156204*x^8 - 5379616*x^7 + 1344904*x^6 - 278256*x^5 + 46376*x^4 -5984*x^3 + 561*x^2 - 34*x + 1)
- (x^40 + 40*x^39 + 780*x^38 + 9880*x^37 + 91390*x^36 + 658008*x^35 +3838380*x^34 + 18643560*x^33 + 76904685*x^32 + 273438880*x^31 +847660528*x^30 + 2311801440.0*x^29 + 5586853480.0*x^28 +12033222880.0*x^27 + 23206929840.0*x^26 + 40225345056.0*x^25 +62852101650.0*x^24 + 88732378800.0*x^23 + 113380261800.0*x^22 +131282408400.0*x^21 + 137846528820.0*x^20 + 131282408400.0*x^19 +113380261800.0*x^18 + 88732378800.0*x^17 + 62852101650.0*x^16 +40225345056.0*x^15 + 23206929840.0*x^14 + 12033222880.0*x^13 +5586853480.0*x^12 + 2311801440.0*x^11 + 847660528*x^10 + 273438880*x^9 +76904685*x^8 + 18643560*x^7 + 3838380*x^6 + 658008*x^5 + 91390*x^4 +9880*x^3 + 780*x^2 + 40*x + 1)/(x^40 - 40*x^39 + 780*x^38 - 9880*x^37 +91390*x^36 - 658008*x^35 + 3838380*x^34 - 18643560*x^33 + 76904685*x^32- 273438880*x^31 + 847660528*x^30 - 2311801440.0*x^29 +5586853480.0*x^28 - 12033222880.0*x^27 + 23206929840.0*x^26 -40225345056.0*x^25 + 62852101650.0*x^24 - 88732378800.0*x^23 +113380261800.0*x^22 - 131282408400.0*x^21 + 137846528820.0*x^20 -131282408400.0*x^19 + 113380261800.0*x^18 - 88732378800.0*x^17 +62852101650.0*x^16 - 40225345056.0*x^15 + 23206929840.0*x^14 -12033222880.0*x^13 + 5586853480.0*x^12 - 2311801440.0*x^11 +847660528*x^10 - 273438880*x^9 + 76904685*x^8 - 18643560*x^7 +3838380*x^6 - 658008*x^5 + 91390*x^4 - 9880*x^3 + 780*x^2 - 40*x + 1)
- (x^42 + 42*x^41 + 861*x^40 + 11480*x^39 + 111930*x^38 + 850668*x^37 +5245786*x^36 + 26978328*x^35 + 118030185*x^34 + 445891810*x^33 +1471442973*x^32 + 4280561376.0*x^31 + 11058116888.0*x^30 +25518731280.0*x^29 + 52860229080.0*x^28 + 98672427616.0*x^27 +166509721602.0*x^26 + 254661927156.0*x^25 + 353697121050.0*x^24 +446775310800.0*x^23 + 513791607420.0*x^22 + 538257874440.0*x^21 +513791607420.0*x^20 + 446775310800.0*x^19 + 353697121050.0*x^18 +254661927156.0*x^17 + 166509721602.0*x^16 + 98672427616.0*x^15 +52860229080.0*x^14 + 25518731280.0*x^13 + 11058116888.0*x^12 +4280561376.0*x^11 + 1471442973*x^10 + 445891810*x^9 + 118030185*x^8 +26978328*x^7 + 5245786*x^6 + 850668*x^5 + 111930*x^4 + 11480*x^3 +861*x^2 + 42*x + 1)/(x^42 - 42*x^41 + 861*x^40 - 11480*x^39 +111930*x^38 - 850668*x^37 + 5245786*x^36 - 26978328*x^35 +118030185*x^34 - 445891810*x^33 + 1471442973*x^32 - 4280561376.0*x^31 +11058116888.0*x^30 - 25518731280.0*x^29 + 52860229080.0*x^28 -98672427616.0*x^27 + 166509721602.0*x^26 - 254661927156.0*x^25 +353697121050.0*x^24 - 446775310800.0*x^23 + 513791607420.0*x^22 -538257874440.0*x^21 + 513791607420.0*x^20 - 446775310800.0*x^19 +353697121050.0*x^18 - 254661927156.0*x^17 + 166509721602.0*x^16 -98672427616.0*x^15 + 52860229080.0*x^14 - 25518731280.0*x^13 +11058116888.0*x^12 - 4280561376.0*x^11 + 1471442973*x^10 - 445891810*x^9+ 118030185*x^8 - 26978328*x^7 + 5245786*x^6 - 850668*x^5 + 111930*x^4 -11480*x^3 + 861*x^2 - 42*x + 1)
- (x^46 + 46*x^45 + 1035*x^44 + 15180*x^43 + 163185*x^42 + 1370754*x^41 +9366819*x^40 + 53524680*x^39 + 260932815*x^38 + 1101716330*x^37 +4076350421.0*x^36 + 13340783196.0*x^35 + 38910617655.0*x^34 +101766230790.0*x^33 + 239877544005.0*x^32 + 511738760544.0*x^31 +991493848554.0*x^30 + 1749695026860.0*x^29 + 2818953098830.0*x^28 +4154246671960.0*x^27 + 5608233007146.0*x^26 + 6943526580276.0*x^25 +7890371113950.0*x^24 + 8233430727600.0*x^23 + 7890371113950.0*x^22 +6943526580276.0*x^21 + 5608233007146.0*x^20 + 4154246671960.0*x^19 +2818953098830.0*x^18 + 1749695026860.0*x^17 + 991493848554.0*x^16 +511738760544.0*x^15 + 239877544005.0*x^14 + 101766230790.0*x^13 +38910617655.0*x^12 + 13340783196.0*x^11 + 4076350421.0*x^10 +1101716330*x^9 + 260932815*x^8 + 53524680*x^7 + 9366819*x^6 +1370754*x^5 + 163185*x^4 + 15180*x^3 + 1035*x^2 + 46*x + 1)/(x^46 -46*x^45 + 1035*x^44 - 15180*x^43 + 163185*x^42 - 1370754*x^41 +9366819*x^40 - 53524680*x^39 + 260932815*x^38 - 1101716330*x^37 +4076350421.0*x^36 - 13340783196.0*x^35 + 38910617655.0*x^34 -101766230790.0*x^33 + 239877544005.0*x^32 - 511738760544.0*x^31 +991493848554.0*x^30 - 1749695026860.0*x^29 + 2818953098830.0*x^28 -4154246671960.0*x^27 + 5608233007146.0*x^26 - 6943526580276.0*x^25 +7890371113950.0*x^24 - 8233430727600.0*x^23 + 7890371113950.0*x^22 -6943526580276.0*x^21 + 5608233007146.0*x^20 - 4154246671960.0*x^19 +2818953098830.0*x^18 - 1749695026860.0*x^17 + 991493848554.0*x^16 -511738760544.0*x^15 + 239877544005.0*x^14 - 101766230790.0*x^13 +38910617655.0*x^12 - 13340783196.0*x^11 + 4076350421.0*x^10 -1101716330*x^9 + 260932815*x^8 - 53524680*x^7 + 9366819*x^6 -1370754*x^5 + 163185*x^4 - 15180*x^3 + 1035*x^2 - 46*x + 1)
- (x^42 - 3*x^41 - x^40 + 6*x^39 + 5*x^38 + 3*x^37 - 27*x^36 - 18*x^35 +19*x^34 + 49*x^33 + 61*x^32 - 64*x^31 - 116*x^30 - 76*x^29 + 76*x^28 +240*x^27 + 82*x^26 - 110*x^25 - 290*x^24 - 164*x^23 + 190*x^22 +274*x^21 + 190*x^20 - 164*x^19 - 290*x^18 - 110*x^17 + 82*x^16 +240*x^15 + 76*x^14 - 76*x^13 - 116*x^12 - 64*x^11 + 61*x^10 + 49*x^9 +19*x^8 - 18*x^7 - 27*x^6 + 3*x^5 + 5*x^4 + 6*x^3 - x^2 - 3*x + 1)/((x^4- 1)^4*(x^3 - 1)^5*(x^2 - 1)^4*(x - 1)^3)
- (x^68 - 2*x^67 + 10*x^66 + 32*x^65 + 175*x^64 + 794*x^63 + 3441*x^62 +13186*x^61 + 46027*x^60 + 146118*x^59 + 427347*x^58 + 1155432*x^57 +2912873*x^56 + 6875608*x^55 + 15281029*x^54 + 32094658*x^53 +63945531*x^52 + 121210914*x^51 + 219194198*x^50 + 378998758*x^49 +627863648*x^48 + 998282344*x^47 + 1525746624*x^46 + 2244502676.0*x^45 +3181886869.0*x^44 + 4351201210.0*x^43 + 5744918381.0*x^42 +7328807372.0*x^41 + 9039504349.0*x^40 + 10785767638.0*x^39 +12455264802.0*x^38 + 13925287384.0*x^37 + 15077477135.0*x^36 +15812782150.0*x^35 + 16065602576.0*x^34 + 15812782150.0*x^33 +15077477135.0*x^32 + 13925287384.0*x^31 + 12455264802.0*x^30 +10785767638.0*x^29 + 9039504349.0*x^28 + 7328807372.0*x^27 +5744918381.0*x^26 + 4351201210.0*x^25 + 3181886869.0*x^24 +2244502676.0*x^23 + 1525746624*x^22 + 998282344*x^21 + 627863648*x^20 +378998758*x^19 + 219194198*x^18 + 121210914*x^17 + 63945531*x^16 +32094658*x^15 + 15281029*x^14 + 6875608*x^13 + 2912873*x^12 +1155432*x^11 + 427347*x^10 + 146118*x^9 + 46027*x^8 + 13186*x^7 +3441*x^6 + 794*x^5 + 175*x^4 + 32*x^3 + 10*x^2 - 2*x + 1)/(x^100 -8*x^99 + 24*x^98 - 30*x^97 + 6*x^96 + 18*x^95 - 27*x^94 + 60*x^93 -87*x^92 + 108*x^91 - 147*x^90 + 36*x^89 + 82*x^88 - 8*x^87 + 147*x^86 -260*x^85 + 253*x^84 - 672*x^83 + 413*x^82 + 14*x^81 + 471*x^80 +270*x^79 - 612*x^78 + 330*x^77 - 2024*x^76 + 1042*x^75 - 213*x^74 +2022*x^73 + 423*x^72 + 18*x^71 - 600*x^70 - 4032*x^69 + 858*x^68 -1468*x^67 + 4952*x^66 + 714*x^65 + 3255*x^64 - 1722*x^63 - 5577*x^62 -1638*x^61 - 4032*x^60 + 5862*x^59 + 1352*x^58 + 8594*x^57 - 1530*x^56 -3114*x^55 - 5619*x^54 - 6306*x^53 + 2324*x^52 + 170*x^51 + 11814*x^50 +170*x^49 + 2324*x^48 - 6306*x^47 - 5619*x^46 - 3114*x^45 - 1530*x^44 +8594*x^43 + 1352*x^42 + 5862*x^41 - 4032*x^40 - 1638*x^39 - 5577*x^38 -1722*x^37 + 3255*x^36 + 714*x^35 + 4952*x^34 - 1468*x^33 + 858*x^32 -4032*x^31 - 600*x^30 + 18*x^29 + 423*x^28 + 2022*x^27 - 213*x^26 +1042*x^25 - 2024*x^24 + 330*x^23 - 612*x^22 + 270*x^21 + 471*x^20 +14*x^19 + 413*x^18 - 672*x^17 + 253*x^16 - 260*x^15 + 147*x^14 - 8*x^13+ 82*x^12 + 36*x^11 - 147*x^10 + 108*x^9 - 87*x^8 + 60*x^7 - 27*x^6 +18*x^5 + 6*x^4 - 30*x^3 + 24*x^2 - 8*x + 1)
- (x^68 - 2*x^67 + 10*x^66 + 32*x^65 + 175*x^64 + 794*x^63 + 3441*x^62 +13186*x^61 + 46027*x^60 + 146118*x^59 + 427347*x^58 + 1155432*x^57 +2912873*x^56 + 6875608*x^55 + 15281029*x^54 + 32094658*x^53 +63945531*x^52 + 121210914*x^51 + 219194198*x^50 + 378998758*x^49 +627863648*x^48 + 998282344*x^47 + 1525746624*x^46 + 2244502676.0*x^45 +3181886869.0*x^44 + 4351201210.0*x^43 + 5744918381.0*x^42 +7328807372.0*x^41 + 9039504349.0*x^40 + 10785767638.0*x^39 +12455264802.0*x^38 + 13925287384.0*x^37 + 15077477135.0*x^36 +15812782150.0*x^35 + 16065602576.0*x^34 + 15812782150.0*x^33 +15077477135.0*x^32 + 13925287384.0*x^31 + 12455264802.0*x^30 +10785767638.0*x^29 + 9039504349.0*x^28 + 7328807372.0*x^27 +5744918381.0*x^26 + 4351201210.0*x^25 + 3181886869.0*x^24 +2244502676.0*x^23 + 1525746624*x^22 + 998282344*x^21 + 627863648*x^20 +378998758*x^19 + 219194198*x^18 + 121210914*x^17 + 63945531*x^16 +32094658*x^15 + 15281029*x^14 + 6875608*x^13 + 2912873*x^12 +1155432*x^11 + 427347*x^10 + 146118*x^9 + 46027*x^8 + 13186*x^7 +3441*x^6 + 794*x^5 + 175*x^4 + 32*x^3 + 10*x^2 - 2*x + 1)/(x^100 -8*x^99 + 24*x^98 - 30*x^97 + 6*x^96 + 18*x^95 - 27*x^94 + 60*x^93 -87*x^92 + 108*x^91 - 147*x^90 + 36*x^89 + 82*x^88 - 8*x^87 + 147*x^86 -260*x^85 + 253*x^84 - 672*x^83 + 413*x^82 + 14*x^81 + 471*x^80 +270*x^79 - 612*x^78 + 330*x^77 - 2024*x^76 + 1042*x^75 - 213*x^74 +2022*x^73 + 423*x^72 + 18*x^71 - 600*x^70 - 4032*x^69 + 858*x^68 -1468*x^67 + 4952*x^66 + 714*x^65 + 3255*x^64 - 1722*x^63 - 5577*x^62 -1638*x^61 - 4032*x^60 + 5862*x^59 + 1352*x^58 + 8594*x^57 - 1530*x^56 -3114*x^55 - 5619*x^54 - 6306*x^53 + 2324*x^52 + 170*x^51 + 11814*x^50 +170*x^49 + 2324*x^48 - 6306*x^47 - 5619*x^46 - 3114*x^45 - 1530*x^44 +8594*x^43 + 1352*x^42 + 5862*x^41 - 4032*x^40 - 1638*x^39 - 5577*x^38 -1722*x^37 + 3255*x^36 + 714*x^35 + 4952*x^34 - 1468*x^33 + 858*x^32 -4032*x^31 - 600*x^30 + 18*x^29 + 423*x^28 + 2022*x^27 - 213*x^26 +1042*x^25 - 2024*x^24 + 330*x^23 - 612*x^22 + 270*x^21 + 471*x^20 +14*x^19 + 413*x^18 - 672*x^17 + 253*x^16 - 260*x^15 + 147*x^14 - 8*x^13+ 82*x^12 + 36*x^11 - 147*x^10 + 108*x^9 - 87*x^8 + 60*x^7 - 27*x^6 +18*x^5 + 6*x^4 - 30*x^3 + 24*x^2 - 8*x + 1)
- (x^100 - 8*x^99 + 24*x^98 - 30*x^97 + 6*x^96 + 18*x^95 - 27*x^94 +60*x^93 - 87*x^92 + 108*x^91 - 147*x^90 + 36*x^89 + 82*x^88 - 8*x^87 +147*x^86 - 260*x^85 + 253*x^84 - 672*x^83 + 413*x^82 + 14*x^81 +471*x^80 + 270*x^79 - 612*x^78 + 330*x^77 - 2024*x^76 + 1042*x^75 -213*x^74 + 2022*x^73 + 423*x^72 + 18*x^71 - 600*x^70 - 4032*x^69 +858*x^68 - 1468*x^67 + 4952*x^66 + 714*x^65 + 3255*x^64 - 1722*x^63 -5577*x^62 - 1638*x^61 - 4032*x^60 + 5862*x^59 + 1352*x^58 + 8594*x^57 -1530*x^56 - 3114*x^55 - 5619*x^54 - 6306*x^53 + 2324*x^52 + 170*x^51 +11814*x^50 + 170*x^49 + 2324*x^48 - 6306*x^47 - 5619*x^46 - 3114*x^45 -1530*x^44 + 8594*x^43 + 1352*x^42 + 5862*x^41 - 4032*x^40 - 1638*x^39 -5577*x^38 - 1722*x^37 + 3255*x^36 + 714*x^35 + 4952*x^34 - 1468*x^33 +858*x^32 - 4032*x^31 - 600*x^30 + 18*x^29 + 423*x^28 + 2022*x^27 -213*x^26 + 1042*x^25 - 2024*x^24 + 330*x^23 - 612*x^22 + 270*x^21 +471*x^20 + 14*x^19 + 413*x^18 - 672*x^17 + 253*x^16 - 260*x^15 +147*x^14 - 8*x^13 + 82*x^12 + 36*x^11 - 147*x^10 + 108*x^9 - 87*x^8 +60*x^7 - 27*x^6 + 18*x^5 + 6*x^4 - 30*x^3 + 24*x^2 - 8*x + 1)/((x^6 -1)^2*(x^4 + x^3 + x^2 + x + 1)^6*(x^3 - x^2 + x - 1)^6*(x^2 + x +1)^6*(x + 1)^10*(x - 1)^24)
- -(x^52 - 10*x^51 + 36*x^50 - 38*x^49 - 79*x^48 + 180*x^47 + 124*x^46 -340*x^45 - 675*x^44 + 1074*x^43 + 1824*x^42 - 2322*x^41 - 3981*x^40 +2676*x^39 + 9396*x^38 - 2196*x^37 - 17127*x^36 - 1566*x^35 + 24404*x^34+ 12910*x^33 - 30735*x^32 - 27976*x^31 + 29560*x^30 + 42696*x^29 -16738*x^28 - 54740*x^27 + 54740*x^25 + 16738*x^24 - 42696*x^23 -29560*x^22 + 27976*x^21 + 30735*x^20 - 12910*x^19 - 24404*x^18 +1566*x^17 + 17127*x^16 + 2196*x^15 - 9396*x^14 - 2676*x^13 + 3981*x^12 +2322*x^11 - 1824*x^10 - 1074*x^9 + 675*x^8 + 340*x^7 - 124*x^6 - 180*x^5+ 79*x^4 + 38*x^3 - 36*x^2 + 10*x - 1)/((x^3 - 1)^8*(x^2 - 1)^9*(x -1)^10)
- (x^50 - 5*x^49 + 7*x^48 + 2*x^47 - 10*x^46 + 8*x^45 - 20*x^44 + 28*x^43+ x^42 - 17*x^41 + 25*x^40 - 68*x^39 + 60*x^38 - 18*x^36 + 42*x^35 -87*x^34 + 81*x^33 - 25*x^32 - 28*x^31 + 44*x^30 - 72*x^29 + 72*x^28 +24*x^27 - 50*x^26 + 10*x^25 - 50*x^24 + 24*x^23 + 72*x^22 - 72*x^21 +44*x^20 - 28*x^19 - 25*x^18 + 81*x^17 - 87*x^16 + 42*x^15 - 18*x^14 +60*x^12 - 68*x^11 + 25*x^10 - 17*x^9 + x^8 + 28*x^7 - 20*x^6 + 8*x^5 -10*x^4 + 2*x^3 + 7*x^2 - 5*x + 1)/((x^10 + x^9 - x^7 - x^6 + x^4 + x^3 -x - 1)*(x^6 - 1)^2*(x^2 + x + 1)^2*(x^2 + 1)^3*(x^2 - 1)^4*(x + 1)*(x -1)^9)
- (63*x^64 - 535*x^62 + 1574*x^60 - 2349*x^58 - 782*x^56 + 4755*x^54 -7018*x^52 - 7511*x^50 + 28480*x^48 - 51881*x^46 + 31274*x^44 + 9069*x^42- 41970*x^40 + 5933*x^38 + 32922*x^36 - 56809*x^34 + 39618*x^32 -37865*x^30 + 17050*x^28 - 2771*x^26 - 14450*x^24 - 9875*x^22 +25642*x^20 - 30889*x^18 + 11200*x^16 - 4951*x^14 + 1686*x^12 - 3949*x^10+ 1650*x^8 - 813*x^6 + 38*x^4 - 23*x^2 - 1)/(x^96 - 8*x^94 + 24*x^92 -24*x^90 - 38*x^88 + 136*x^86 - 136*x^84 - 40*x^82 + 270*x^80 - 328*x^78+ 88*x^76 + 296*x^74 - 430*x^72 + 136*x^70 + 248*x^68 - 296*x^66 - x^64+ 304*x^62 - 272*x^60 - 112*x^58 + 468*x^56 - 432*x^54 + 48*x^52 +368*x^50 - 540*x^48 + 368*x^46 + 48*x^44 - 432*x^42 + 468*x^40 -112*x^38 - 272*x^36 + 304*x^34 - x^32 - 296*x^30 + 248*x^28 + 136*x^26 -430*x^24 + 296*x^22 + 88*x^20 - 328*x^18 + 270*x^16 - 40*x^14 - 136*x^12+ 136*x^10 - 38*x^8 - 24*x^6 + 24*x^4 - 8*x^2 + 1)
- -1/16*(x^96 - 8*x^94 + 24*x^92 - 24*x^90 - 38*x^88 + 136*x^86 - 136*x^84- 40*x^82 + 270*x^80 - 328*x^78 + 88*x^76 + 296*x^74 - 430*x^72 +136*x^70 + 248*x^68 - 296*x^66 - x^64 + 304*x^62 - 272*x^60 - 112*x^58 +468*x^56 - 432*x^54 + 48*x^52 + 368*x^50 - 540*x^48 + 368*x^46 + 48*x^44- 432*x^42 + 468*x^40 - 112*x^38 - 272*x^36 + 304*x^34 - x^32 - 296*x^30+ 248*x^28 + 136*x^26 - 430*x^24 + 296*x^22 + 88*x^20 - 328*x^18 +270*x^16 - 40*x^14 - 136*x^12 + 136*x^10 - 38*x^8 - 24*x^6 + 24*x^4 -8*x^2 + 1)*(512/(x^32 - 1) + 992/(x^16 - 1)^2 - 620/(x^8 - 1)^4 +155/(x^4 - 1)^8 - 31/(x^2 - 1)^16)/(63*x^64 - 535*x^62 + 1574*x^60 -2349*x^58 - 782*x^56 + 4755*x^54 - 7018*x^52 - 7511*x^50 + 28480*x^48 -51881*x^46 + 31274*x^44 + 9069*x^42 - 41970*x^40 + 5933*x^38 +32922*x^36 - 56809*x^34 + 39618*x^32 - 37865*x^30 + 17050*x^28 -2771*x^26 - 14450*x^24 - 9875*x^22 + 25642*x^20 - 30889*x^18 +11200*x^16 - 4951*x^14 + 1686*x^12 - 3949*x^10 + 1650*x^8 - 813*x^6 +38*x^4 - 23*x^2 - 1)
- (11*x^38 + 87*x^37 + 311*x^36 + 1122*x^35 + 3388*x^34 + 8022*x^33 +19771*x^32 + 37947*x^31 + 74898*x^30 + 124642*x^29 + 205418*x^28 +297469*x^27 + 425834*x^26 + 540502*x^25 + 681640*x^24 + 768954*x^23 +856680*x^22 + 864840*x^21 + 856186*x^20 + 769722*x^19 + 680502*x^18 +541298*x^17 + 425251*x^16 + 297851*x^15 + 205394*x^14 + 124574*x^13 +75138*x^12 + 37773*x^11 + 19906*x^10 + 7842*x^9 + 3506*x^8 + 1008*x^7 +393*x^6 + 33*x^5 + 43*x^4 - 6*x^3 + 2*x^2)/(x^65 - 12*x^64 + 63*x^63 -189*x^62 + 355*x^61 - 423*x^60 + 249*x^59 + 285*x^58 - 1304*x^57 +2643*x^56 - 3612*x^55 + 3420*x^54 - 1402*x^53 - 2916*x^52 + 8754*x^51 -13806*x^50 + 15668*x^49 - 12162*x^48 + 1796*x^47 + 13740*x^46 -29446*x^45 + 39540*x^44 - 38554*x^43 + 23238*x^42 + 3993*x^41 -35202*x^40 + 60431*x^39 - 70189*x^38 + 58167*x^37 - 25935*x^36 -16499*x^35 + 56129*x^34 - 80499*x^33 + 80499*x^32 - 56129*x^31 +16499*x^30 + 25935*x^29 - 58167*x^28 + 70189*x^27 - 60431*x^26 +35202*x^25 - 3993*x^24 - 23238*x^23 + 38554*x^22 - 39540*x^21 +29446*x^20 - 13740*x^19 - 1796*x^18 + 12162*x^17 - 15668*x^16 +13806*x^15 - 8754*x^14 + 2916*x^13 + 1402*x^12 - 3420*x^11 + 3612*x^10 -2643*x^9 + 1304*x^8 - 285*x^7 - 249*x^6 + 423*x^5 - 355*x^4 + 189*x^3 -63*x^2 + 12*x - 1)
- 1/24*(x^65 - 12*x^64 + 63*x^63 - 189*x^62 + 355*x^61 - 423*x^60 +249*x^59 + 285*x^58 - 1304*x^57 + 2643*x^56 - 3612*x^55 + 3420*x^54 -1402*x^53 - 2916*x^52 + 8754*x^51 - 13806*x^50 + 15668*x^49 - 12162*x^48+ 1796*x^47 + 13740*x^46 - 29446*x^45 + 39540*x^44 - 38554*x^43 +23238*x^42 + 3993*x^41 - 35202*x^40 + 60431*x^39 - 70189*x^38 +58167*x^37 - 25935*x^36 - 16499*x^35 + 56129*x^34 - 80499*x^33 +80499*x^32 - 56129*x^31 + 16499*x^30 + 25935*x^29 - 58167*x^28 +70189*x^27 - 60431*x^26 + 35202*x^25 - 3993*x^24 - 23238*x^23 +38554*x^22 - 39540*x^21 + 29446*x^20 - 13740*x^19 - 1796*x^18 +12162*x^17 - 15668*x^16 + 13806*x^15 - 8754*x^14 + 2916*x^13 + 1402*x^12- 3420*x^11 + 3612*x^10 - 2643*x^9 + 1304*x^8 - 285*x^7 - 249*x^6 +423*x^5 - 355*x^4 + 189*x^3 - 63*x^2 + 12*x - 1)*x^2*(4/((x^6 -1)^2*(x^3 - 1)^3*(x^2 - 1)*(x - 1)^4) + 6/((x^4 - 1)^5*(x^2 - 1)^2*(x -1)^3) - 12/((x^3 - 1)^7*(x - 1)^6) - 9/((x^2 - 1)^10*(x - 1)^7) +14/((x^2 - 1)^7*(x - 1)^13) - 3/(x - 1)^27)/(11*x^38 + 87*x^37 +311*x^36 + 1122*x^35 + 3388*x^34 + 8022*x^33 + 19771*x^32 + 37947*x^31 +74898*x^30 + 124642*x^29 + 205418*x^28 + 297469*x^27 + 425834*x^26 +540502*x^25 + 681640*x^24 + 768954*x^23 + 856680*x^22 + 864840*x^21 +856186*x^20 + 769722*x^19 + 680502*x^18 + 541298*x^17 + 425251*x^16 +297851*x^15 + 205394*x^14 + 124574*x^13 + 75138*x^12 + 37773*x^11 +19906*x^10 + 7842*x^9 + 3506*x^8 + 1008*x^7 + 393*x^6 + 33*x^5 + 43*x^4- 6*x^3 + 2*x^2)
- (15*x^52 + 145*x^51 + 1000*x^50 + 5706*x^49 + 27534*x^48 + 112855*x^47 +414124*x^46 + 1349499*x^45 + 3989755*x^44 + 10753206*x^43 +26679490*x^42 + 61186551*x^41 + 130530090*x^40 + 259836112*x^39 +484679544*x^38 + 849271594*x^37 + 1401867433*x^36 + 2183909755.0*x^35 +3217426922.0*x^34 + 4488419410.0*x^33 + 5937546254.0*x^32 +7454619863.0*x^31 + 8891066185.0*x^30 + 10078832351.0*x^29 +10864972147.0*x^28 + 11139715801.0*x^27 + 10864993861.0*x^26 +10078846167.0*x^25 + 8891054613.0*x^24 + 7454604749.0*x^23 +5937546837.0*x^22 + 4488431665.0*x^21 + 3217429658.0*x^20 +2183902032.0*x^19 + 1401862097*x^18 + 849275163*x^17 + 484685199*x^16 +259836222*x^15 + 130527183*x^14 + 61184898*x^13 + 26680350*x^12 +10753989*x^11 + 3989757*x^10 + 1349182*x^9 + 414165*x^8 + 112951*x^7 +27567*x^6 + 5641*x^5 + 994*x^4 + 144*x^3 + 25*x^2 - 3*x + 1)/(x^89 -8*x^88 + 20*x^87 - 3*x^86 - 46*x^85 + 12*x^84 + 3*x^83 + 290*x^82 -177*x^81 - 617*x^80 - 114*x^79 + 539*x^78 + 2770*x^77 - 706*x^76 -4651*x^75 - 4542*x^74 + 1917*x^73 + 17985*x^72 + 7422*x^71 - 15423*x^70- 37380*x^69 - 18962*x^68 + 58015*x^67 + 73268*x^66 + 17980*x^65 -119445*x^64 - 159112*x^63 + 24580*x^62 + 215528*x^61 + 266360*x^60 -67812*x^59 - 412056*x^58 - 340950*x^57 + 110524*x^56 + 655312*x^55 +452258*x^54 - 256244*x^53 - 825120*x^52 - 608194*x^51 + 442252*x^50 +993002*x^49 + 630566*x^48 - 502620*x^47 - 1182894*x^46 - 535812*x^45 +535812*x^44 + 1182894*x^43 + 502620*x^42 - 630566*x^41 - 993002*x^40 -442252*x^39 + 608194*x^38 + 825120*x^37 + 256244*x^36 - 452258*x^35 -655312*x^34 - 110524*x^33 + 340950*x^32 + 412056*x^31 + 67812*x^30 -266360*x^29 - 215528*x^28 - 24580*x^27 + 159112*x^26 + 119445*x^25 -17980*x^24 - 73268*x^23 - 58015*x^22 + 18962*x^21 + 37380*x^20 +15423*x^19 - 7422*x^18 - 17985*x^17 - 1917*x^16 + 4542*x^15 + 4651*x^14+ 706*x^13 - 2770*x^12 - 539*x^11 + 114*x^10 + 617*x^9 + 177*x^8 -290*x^7 - 3*x^6 - 12*x^5 + 46*x^4 + 3*x^3 - 20*x^2 + 8*x - 1)
- (x^21 - 21*x^20 + 210*x^19 - 1330*x^18 + 5985*x^17 - 20349*x^16 +54264*x^15 - 116280*x^14 + 203490*x^13 - 293930*x^12 + 352716*x^11 -352716*x^10 + 293930*x^9 - 203490*x^8 + 116280*x^7 - 54264*x^6 +20349*x^5 - 5985*x^4 + 1330*x^3 - 210*x^2 + 21*x - 1)/(x - 1)^21
- (x^21 - 21*x^20 + 210*x^19 - 1330*x^18 + 5985*x^17 - 20349*x^16 +54264*x^15 - 116280*x^14 + 203490*x^13 - 293930*x^12 + 352716*x^11 -352716*x^10 + 293930*x^9 - 203490*x^8 + 116280*x^7 - 54264*x^6 +20349*x^5 - 5985*x^4 + 1330*x^3 - 210*x^2 + 21*x - 1)/(x - 1)^21
- 1/(x^216 - x^215 - x^214 + x^212 + x^209 - x^207 - 2*x^206 + 2*x^205 +x^204 - x^202 - x^199 + x^197 + x^194 - x^192 - x^191 + x^190 + 2*x^186- 2*x^185 - 2*x^184 + 2*x^182 + 2*x^181 - 2*x^180 - x^176 + x^175 +x^174 - x^172 - x^169 + x^167 - x^166 + x^165 + 2*x^164 - 2*x^162 -2*x^161 + 2*x^160 + 2*x^156 - 2*x^155 - 2*x^154 + 2*x^152 + x^151 -x^150 + x^149 - x^147 - x^144 + x^142 + x^141 - x^140 - 2*x^136 +2*x^135 + 2*x^134 - 2*x^132 - 2*x^131 + 2*x^130 + x^126 - x^125 - x^124+ x^122 + x^119 - x^117 - x^116 + x^115 + 2*x^111 - 2*x^110 - 2*x^109 +2*x^107 + 2*x^106 - 2*x^105 - x^101 + x^100 + x^99 - x^97 - x^94 + x^92+ x^91 - x^90 - 2*x^86 + 2*x^85 + 2*x^84 - 2*x^82 - 2*x^81 + 2*x^80 +x^76 - x^75 - x^74 + x^72 + x^69 - x^67 + x^66 - x^65 - 2*x^64 + 2*x^62+ 2*x^61 - 2*x^60 - 2*x^56 + 2*x^55 + 2*x^54 - 2*x^52 - x^51 + x^50 -x^49 + x^47 + x^44 - x^42 - x^41 + x^40 + 2*x^36 - 2*x^35 - 2*x^34 +2*x^32 + 2*x^31 - 2*x^30 - x^26 + x^25 + x^24 - x^22 - x^19 + x^17 +x^14 - x^12 - 2*x^11 + 2*x^10 + x^9 - x^7 - x^4 + x^2 + x - 1)
- -(x^216 - x^215 - x^214 + x^212 + x^209 - x^207 - 2*x^206 + 2*x^205 +x^204 - x^202 - x^199 + x^197 + x^194 - x^192 - x^191 + x^190 + 2*x^186- 2*x^185 - 2*x^184 + 2*x^182 + 2*x^181 - 2*x^180 - x^176 + x^175 +x^174 - x^172 - x^169 + x^167 - x^166 + x^165 + 2*x^164 - 2*x^162 -2*x^161 + 2*x^160 + 2*x^156 - 2*x^155 - 2*x^154 + 2*x^152 + x^151 -x^150 + x^149 - x^147 - x^144 + x^142 + x^141 - x^140 - 2*x^136 +2*x^135 + 2*x^134 - 2*x^132 - 2*x^131 + 2*x^130 + x^126 - x^125 - x^124+ x^122 + x^119 - x^117 - x^116 + x^115 + 2*x^111 - 2*x^110 - 2*x^109 +2*x^107 + 2*x^106 - 2*x^105 - x^101 + x^100 + x^99 - x^97 - x^94 + x^92+ x^91 - x^90 - 2*x^86 + 2*x^85 + 2*x^84 - 2*x^82 - 2*x^81 + 2*x^80 +x^76 - x^75 - x^74 + x^72 + x^69 - x^67 + x^66 - x^65 - 2*x^64 + 2*x^62+ 2*x^61 - 2*x^60 - 2*x^56 + 2*x^55 + 2*x^54 - 2*x^52 - x^51 + x^50 -x^49 + x^47 + x^44 - x^42 - x^41 + x^40 + 2*x^36 - 2*x^35 - 2*x^34 +2*x^32 + 2*x^31 - 2*x^30 - x^26 + x^25 + x^24 - x^22 - x^19 + x^17 +x^14 - x^12 - 2*x^11 + 2*x^10 + x^9 - x^7 - x^4 + x^2 + x - 1)/((x^100 -1)*(x^50 - 1)*(x^25 - 1)*(x^20 - 1)*(x^10 - 1)*(x^5 - 1)*(x^3 - 1)*(x^2- 1)*(x - 1))
- (x^36 - 4*x^35 + 6*x^34 - 6*x^33 + 9*x^32 - 14*x^31 + 17*x^30 - 19*x^29+ 22*x^28 - 29*x^27 + 36*x^26 - 37*x^25 + 38*x^24 - 44*x^23 + 49*x^22 -49*x^21 + 50*x^20 - 54*x^19 + 56*x^18 - 54*x^17 + 50*x^16 - 49*x^15 +49*x^14 - 44*x^13 + 38*x^12 - 37*x^11 + 36*x^10 - 29*x^9 + 22*x^8 -19*x^7 + 17*x^6 - 14*x^5 + 9*x^4 - 6*x^3 + 6*x^2 - 4*x + 1)*(x^8 - x^6 +x^4 - x^2 + 1)*(x^8 + 1)*(x^6 - x^5 + x^4 - x^3 + x^2 - x + 1)*(x^6 -x^3 + 1)*(x^4 - x^2 + 1)*(x^2 - x + 1)*(x^2 + 1)/((x^36 - 2*x^35 +2*x^34 - 2*x^33 + 3*x^32 - 4*x^31 + 5*x^30 - 5*x^29 + 6*x^28 - 7*x^27 +8*x^26 - 9*x^25 + 10*x^24 - 10*x^23 + 11*x^22 - 11*x^21 + 12*x^20 -12*x^19 + 12*x^18 - 12*x^17 + 12*x^16 - 11*x^15 + 11*x^14 - 10*x^13 +10*x^12 - 9*x^11 + 8*x^10 - 7*x^9 + 6*x^8 - 5*x^7 + 5*x^6 - 4*x^5 +3*x^4 - 2*x^3 + 2*x^2 - 2*x + 1)*(x^6 + x^5 + x^4 + x^3 + x^2 + x +1)*(x^6 + x^3 + 1)*(x^4 + x^3 + x^2 + x + 1)^2*(x^2 + x + 1)^3*(x -1)^10)
- -1
- -(x^48 - x^45 + 4*x^44 - 2*x^43 - 4*x^42 - 28*x^40 - 7*x^39 - 14*x^38 +36*x^37 - 107*x^36 + 24*x^35 + 16*x^34 + 28*x^33 + 276*x^32 + 132*x^31 +126*x^30 - 340*x^29 + 900*x^28 + 206*x^27 + 168*x^26 - 756*x^25 -780*x^24 - 116*x^23 - 260*x^22 + 158*x^21 - 480*x^20 - 276*x^19 -454*x^18 + 344*x^17 + 704*x^16 + 180*x^15 + 156*x^14 + 12*x^13 +145*x^12 + 68*x^11 + 76*x^10 + 67*x^9 - 156*x^8 - 58*x^7 - 32*x^6 -28*x^5 - 16*x^4 - 7*x^3 - 2*x^2 + 1)/(x^56 + x^55 - x^54 + 2*x^53 +2*x^52 + 2*x^51 - 2*x^50 - 40*x^48 - 44*x^47 + 22*x^46 - 58*x^45 -102*x^44 - 78*x^43 + 50*x^42 - 106*x^41 + 540*x^40 + 688*x^39 - 199*x^38+ 239*x^37 + 1665*x^36 + 980*x^35 - 388*x^34 + 1148*x^33 - 3684*x^32 -5128*x^31 + 344*x^30 + 736*x^29 - 11116*x^28 - 6220*x^27 + 1316*x^26 -132*x^25 + 5596*x^24 + 6396*x^23 + 1392*x^22 - 632*x^21 + 4259*x^20 +5071*x^19 + 2241*x^18 - 566*x^17 - 2270*x^16 - 2430*x^15 - 1242*x^14 -24*x^13 - 496*x^12 - 660*x^11 - 490*x^10 - 250*x^9 + 354*x^8 + 242*x^7 +114*x^6 + 46*x^5 + 20*x^4 + 8*x^3 + 3*x^2 + x - 1)
- (x^48 - x^45 + 4*x^44 - 2*x^43 - 4*x^42 - 28*x^40 - 7*x^39 - 14*x^38 +36*x^37 - 107*x^36 + 24*x^35 + 16*x^34 + 28*x^33 + 276*x^32 + 132*x^31 +126*x^30 - 340*x^29 + 900*x^28 + 206*x^27 + 168*x^26 - 756*x^25 -780*x^24 - 116*x^23 - 260*x^22 + 158*x^21 - 480*x^20 - 276*x^19 -454*x^18 + 344*x^17 + 704*x^16 + 180*x^15 + 156*x^14 + 12*x^13 +145*x^12 + 68*x^11 + 76*x^10 + 67*x^9 - 156*x^8 - 58*x^7 - 32*x^6 -28*x^5 - 16*x^4 - 7*x^3 - 2*x^2 + 1)/(x^56 + x^55 - x^54 + 2*x^53 +2*x^52 + 2*x^51 - 2*x^50 - 40*x^48 - 44*x^47 + 22*x^46 - 58*x^45 -102*x^44 - 78*x^43 + 50*x^42 - 106*x^41 + 540*x^40 + 688*x^39 - 199*x^38+ 239*x^37 + 1665*x^36 + 980*x^35 - 388*x^34 + 1148*x^33 - 3684*x^32 -5128*x^31 + 344*x^30 + 736*x^29 - 11116*x^28 - 6220*x^27 + 1316*x^26 -132*x^25 + 5596*x^24 + 6396*x^23 + 1392*x^22 - 632*x^21 + 4259*x^20 +5071*x^19 + 2241*x^18 - 566*x^17 - 2270*x^16 - 2430*x^15 - 1242*x^14 -24*x^13 - 496*x^12 - 660*x^11 - 490*x^10 - 250*x^9 + 354*x^8 + 242*x^7 +114*x^6 + 46*x^5 + 20*x^4 + 8*x^3 + 3*x^2 + x - 1)
- -1
- -1
- (x^67 - 2*x^66 + x^64 + x^63 - 3*x^61 + 3*x^60 - x^59 + x^56 - x^55 -x^54 + 2*x^53 - 2*x^52 + x^51 - x^50 + 3*x^49 - 3*x^48 - x^47 + 4*x^46 -2*x^45 - x^44 + 3*x^42 - x^41 - 2*x^40 + x^39 + 2*x^35 - 2*x^34 - 2*x^33+ 2*x^32 + x^28 - 2*x^27 - x^26 + 3*x^25 - x^23 - 2*x^22 + 4*x^21 - x^20- 3*x^19 + 3*x^18 - x^17 + x^16 - 2*x^15 + 2*x^14 - x^13 - x^12 + x^11 -x^8 + 3*x^7 - 3*x^6 + x^4 + x^3 - 2*x + 1)*(x^50 + x^45 + x^43 + x^42 +x^41 + 2*x^40 + 2*x^39 + 2*x^38 + 2*x^37 + 3*x^36 + 3*x^35 + 3*x^34 +3*x^33 + 4*x^32 + 4*x^31 + 4*x^30 + 5*x^29 + 5*x^28 + 5*x^27 + 5*x^26 +6*x^25 + 5*x^24 + 5*x^23 + 5*x^22 + 5*x^21 + 4*x^20 + 4*x^19 + 4*x^18 +3*x^17 + 3*x^16 + 3*x^15 + 3*x^14 + 2*x^13 + 2*x^12 + 2*x^11 + 2*x^10 +x^9 + x^8 + x^7 + x^5 + 1)/((x^42 - 2*x^41 + x^40 + x^38 - x^37 + x^34 -x^33 + x^32 - x^29 + 2*x^28 - x^27 + x^26 - x^25 + 2*x^24 - 2*x^23 +2*x^22 - x^21 + 2*x^20 - 2*x^19 + 2*x^18 - x^17 + x^16 - x^15 + 2*x^14 -x^13 + x^10 - x^9 + x^8 - x^5 + x^4 + x^2 - 2*x + 1)*(x^15 - 1)*(x^12 -1)*(x^10 - 1)*(x^9 - 1)*(x^8 - 1)*(x^6 - 1)^2*(x^4 - 1)*(x^3 - 1)*(x^2 -1))
- -(x^25 - 25*x^24 + 300*x^23 - 2300*x^22 + 12650*x^21 - 53130*x^20 +177100*x^19 - 480700*x^18 + 1081575*x^17 - 2042975*x^16 + 3268760*x^15 -4457400*x^14 + 5200300*x^13 - 5200300*x^12 + 4457400*x^11 - 3268760*x^10+ 2042975*x^9 - 1081575*x^8 + 480700*x^7 - 177100*x^6 + 53130*x^5 -12650*x^4 + 2300*x^3 - 300*x^2 + 25*x - 1)*(x^24 - 25*x^23 + 300*x^22 -2300*x^21 + 12650*x^20 - 53060*x^19 + 175980*x^18 - 472300*x^17 +1042375*x^16 - 1915575*x^15 + 2962780*x^14 - 3894200*x^13 + 4384980*x^12- 4251000*x^11 + 3547700*x^10 - 2533840*x^9 + 1532975*x^8 - 776575*x^7 +325880*x^6 - 111900*x^5 + 30750*x^4 - 6500*x^3 + 1000*x^2 - 100*x +5)*x/((x^25 - 25*x^24 + 300*x^23 - 2300*x^22 + 12650*x^21 - 53060*x^20 +175980*x^19 - 472300*x^18 + 1042375*x^17 - 1915575*x^16 + 2962780*x^15 -3894200*x^14 + 4384980*x^13 - 4251000*x^12 + 3547700*x^11 - 2533840*x^10+ 1532975*x^9 - 776575*x^8 + 325880*x^7 - 111900*x^6 + 30750*x^5 -6500*x^4 + 1000*x^3 - 100*x^2 + 5*x)*(x - 1)^25)
- -2*(x^37 + x^36 - 3*x^35 - 7*x^34 - 3*x^33 + 11*x^32 + 21*x^31 + 13*x^30- 13*x^29 - 41*x^28 - 44*x^27 - 8*x^26 + 49*x^25 + 81*x^24 + 57*x^23 -15*x^22 - 88*x^21 - 106*x^20 - 48*x^19 + 48*x^18 + 106*x^17 + 88*x^16 +15*x^15 - 57*x^14 - 81*x^13 - 49*x^12 + 8*x^11 + 44*x^10 + 41*x^9 +13*x^8 - 13*x^7 - 21*x^6 - 11*x^5 + 3*x^4 + 7*x^3 + 3*x^2 - x -1)*(7103*x^31 + 75119*x^30 + 458488*x^29 + 1986116*x^28 + 6761004*x^27 +18984430*x^26 + 45498302*x^25 + 95118180*x^24 + 176303615*x^23 +293082859*x^22 + 440832373*x^21 + 603721921*x^20 + 756327443*x^19 +869433097*x^18 + 918871274*x^17 + 893455800*x^16 + 799039150*x^15 +656299428*x^14 + 493805967*x^13 + 338997177*x^12 + 211173695*x^11 +118469619*x^10 + 59266555*x^9 + 26088235*x^8 + 9927968*x^7 + 3188070*x^6+ 836384*x^5 + 170806*x^4 + 25270*x^3 + 2418*x^2 + 129*x +5)*x^5/((7103*x^36 + 75119*x^35 + 458488*x^34 + 1986116*x^33 +6761004*x^32 + 18984430*x^31 + 45498302*x^30 + 95118180*x^29 +176303615*x^28 + 293082859*x^27 + 440832373*x^26 + 603721921*x^25 +756327443*x^24 + 869433097*x^23 + 918871274*x^22 + 893455800*x^21 +799039150*x^20 + 656299428*x^19 + 493805967*x^18 + 338997177*x^17 +211173695*x^16 + 118469619*x^15 + 59266555*x^14 + 26088235*x^13 +9927968*x^12 + 3188070*x^11 + 836384*x^10 + 170806*x^9 + 25270*x^8 +2418*x^7 + 129*x^6 + 5*x^5)*(x^4 + x^3 + x^2 + x + 1)^2*(x^2 + x +1)^4*(x^2 + 1)^2*(x + 1)^6*(x - 1)^11)
- x^60 + x^59 + 37*x^58 + 577*x^57 + 8236*x^56 + 91030*x^55 + 835476*x^54+ 6436782*x^53 + 42650532*x^52 + 246386091*x^51 + 1256602779*x^50 +5711668755.0*x^49 + 23322797475.0*x^48 + 86114390460.0*x^47 +289098819780.0*x^46 + 886568158468.0*x^45 + 2493474394140.0*x^44 +6453694644705.0*x^43 + 15417163018725.0*x^42 + 34080036632565.0*x^41 +69864082608210.0*x^40 + 133074428781570.0*x^39 + 235904682814710.0*x^38+ 389755540347810.0*x^37 + 600873146368170.0*x^36 +865257299572455.0*x^35 + 1164769471671690.0*x^34 +1466746704458900.0*x^33 + 1728665795116240.0*x^32 +1907493251046150.0*x^31 + 1971076398255690.0*x^30 +1907493251046150.0*x^29 + 1728665795116240.0*x^28 +1466746704458900.0*x^27 + 1164769471671690.0*x^26 +865257299572455.0*x^25 + 600873146368170.0*x^24 + 389755540347810.0*x^23+ 235904682814710.0*x^22 + 133074428781570.0*x^21 +69864082608210.0*x^20 + 34080036632565.0*x^19 + 15417163018725.0*x^18 +6453694644705.0*x^17 + 2493474394140.0*x^16 + 886568158468.0*x^15 +289098819780.0*x^14 + 86114390460.0*x^13 + 23322797475.0*x^12 +5711668755.0*x^11 + 1256602779*x^10 + 246386091*x^9 + 42650532*x^8 +6436782*x^7 + 835476*x^6 + 91030*x^5 + 8236*x^4 + 577*x^3 + 37*x^2 + x +1
- x^120 + 8*x^119 + 35*x^118 + 112*x^117 + 294*x^116 + 672*x^115 +1386*x^114 + 2640*x^113 + 4718*x^112 + 8000*x^111 + 12978*x^110 +20272*x^109 + 30645*x^108 + 45016*x^107 + 64470*x^106 + 90264*x^105 +123829*x^104 + 166768*x^103 + 220849*x^102 + 287992*x^101 + 370250*x^100+ 469784*x^99 + 588833*x^98 + 729680*x^97 + 894613*x^96 + 1085880*x^95 +1305640*x^94 + 1555912*x^93 + 1838523*x^92 + 2155056*x^91 + 2506798*x^90+ 2894688*x^89 + 3319268*x^88 + 3780640*x^87 + 4278429*x^86 +4811752*x^85 + 5379194*x^84 + 5978792*x^83 + 6608029*x^82 + 7263840*x^81+ 7942628*x^80 + 8640288*x^79 + 9352240*x^78 + 10073472*x^77 +10798593*x^76 + 11521896*x^75 + 12237428*x^74 + 12939064*x^73 +13620586*x^72 + 14275768*x^71 + 14898464*x^70 + 15482696*x^69 +16022740*x^68 + 16513208*x^67 + 16949127*x^66 + 17326016*x^65 +17639957*x^64 + 17887656*x^63 + 18066494*x^62 + 18174568*x^61 +18210722*x^60 + 18174568*x^59 + 18066494*x^58 + 17887656*x^57 +17639957*x^56 + 17326016*x^55 + 16949127*x^54 + 16513208*x^53 +16022740*x^52 + 15482696*x^51 + 14898464*x^50 + 14275768*x^49 +13620586*x^48 + 12939064*x^47 + 12237428*x^46 + 11521896*x^45 +10798593*x^44 + 10073472*x^43 + 9352240*x^42 + 8640288*x^41 +7942628*x^40 + 7263840*x^39 + 6608029*x^38 + 5978792*x^37 + 5379194*x^36+ 4811752*x^35 + 4278429*x^34 + 3780640*x^33 + 3319268*x^32 +2894688*x^31 + 2506798*x^30 + 2155056*x^29 + 1838523*x^28 + 1555912*x^27+ 1305640*x^26 + 1085880*x^25 + 894613*x^24 + 729680*x^23 + 588833*x^22+ 469784*x^21 + 370250*x^20 + 287992*x^19 + 220849*x^18 + 166768*x^17 +123829*x^16 + 90264*x^15 + 64470*x^14 + 45016*x^13 + 30645*x^12 +20272*x^11 + 12978*x^10 + 8000*x^9 + 4718*x^8 + 2640*x^7 + 1386*x^6 +672*x^5 + 294*x^4 + 112*x^3 + 35*x^2 + 8*x + 1
- (x^30 - 1)*(x^24 - 1)*(x^20 - 1)*(x^18 - 1)*(x^14 - 1)*(x^12 - 1)*(x^8 -1)*(x^2 - 1)/((x^120 + 8*x^119 + 35*x^118 + 112*x^117 + 294*x^116 +672*x^115 + 1386*x^114 + 2640*x^113 + 4718*x^112 + 8000*x^111 +12978*x^110 + 20272*x^109 + 30645*x^108 + 45016*x^107 + 64470*x^106 +90264*x^105 + 123829*x^104 + 166768*x^103 + 220849*x^102 + 287992*x^101+ 370250*x^100 + 469784*x^99 + 588833*x^98 + 729680*x^97 + 894613*x^96 +1085880*x^95 + 1305640*x^94 + 1555912*x^93 + 1838523*x^92 + 2155056*x^91+ 2506798*x^90 + 2894688*x^89 + 3319268*x^88 + 3780640*x^87 +4278429*x^86 + 4811752*x^85 + 5379194*x^84 + 5978792*x^83 + 6608029*x^82+ 7263840*x^81 + 7942628*x^80 + 8640288*x^79 + 9352240*x^78 +10073472*x^77 + 10798593*x^76 + 11521896*x^75 + 12237428*x^74 +12939064*x^73 + 13620586*x^72 + 14275768*x^71 + 14898464*x^70 +15482696*x^69 + 16022740*x^68 + 16513208*x^67 + 16949127*x^66 +17326016*x^65 + 17639957*x^64 + 17887656*x^63 + 18066494*x^62 +18174568*x^61 + 18210722*x^60 + 18174568*x^59 + 18066494*x^58 +17887656*x^57 + 17639957*x^56 + 17326016*x^55 + 16949127*x^54 +16513208*x^53 + 16022740*x^52 + 15482696*x^51 + 14898464*x^50 +14275768*x^49 + 13620586*x^48 + 12939064*x^47 + 12237428*x^46 +11521896*x^45 + 10798593*x^44 + 10073472*x^43 + 9352240*x^42 +8640288*x^41 + 7942628*x^40 + 7263840*x^39 + 6608029*x^38 + 5978792*x^37+ 5379194*x^36 + 4811752*x^35 + 4278429*x^34 + 3780640*x^33 +3319268*x^32 + 2894688*x^31 + 2506798*x^30 + 2155056*x^29 + 1838523*x^28+ 1555912*x^27 + 1305640*x^26 + 1085880*x^25 + 894613*x^24 + 729680*x^23+ 588833*x^22 + 469784*x^21 + 370250*x^20 + 287992*x^19 + 220849*x^18 +166768*x^17 + 123829*x^16 + 90264*x^15 + 64470*x^14 + 45016*x^13 +30645*x^12 + 20272*x^11 + 12978*x^10 + 8000*x^9 + 4718*x^8 + 2640*x^7 +1386*x^6 + 672*x^5 + 294*x^4 + 112*x^3 + 35*x^2 + 8*x + 1)*(x - 1)^8)
- 1
- (x^36 + 23*x^35 - 279*x^34 + 2351*x^33 - 15323*x^32 + 81660*x^31 -367739*x^30 + 1429239*x^29 - 4862994*x^28 + 14630963*x^27 -39202142*x^26 + 94025295*x^25 - 202615914*x^24 + 393286136*x^23 -688777347*x^22 + 1089424711*x^21 - 1556704057*x^20 + 2009120610*x^19 -2340305425.0*x^18 + 2457321258.0*x^17 - 2321709294.0*x^16 +1969284365*x^15 - 1495215459*x^14 + 1012609265*x^13 - 609019472*x^12 +323575089*x^11 - 150897622*x^10 + 61283280*x^9 - 21465614*x^8 +6406342*x^7 - 1603944*x^6 + 330051*x^5 - 54272*x^4 + 6846*x^3 - 621*x^2+ 36*x - 1)/(x^37 - 20*x^36 + 224*x^35 - 1818*x^34 + 11762*x^33 -63561*x^32 + 294604*x^31 - 1190714*x^30 + 4243006*x^29 - 13432485*x^28 +37986829*x^27 - 96347460*x^26 + 219815232*x^25 - 452088473*x^24 +839470131*x^23 - 1408787953*x^22 + 2137896384*x^21 - 2934146785.0*x^20 +3640807867.0*x^19 - 4081387760.0*x^18 + 4128383734.0*x^17 -3761486169.0*x^16 + 3079970285.0*x^15 - 2259800395.0*x^14 +1480312985*x^13 - 861927311*x^12 + 443695596*x^11 - 200616320*x^10 +79043750*x^9 - 26875022*x^8 + 7789502*x^7 - 1894854*x^6 + 378989*x^5 -60594*x^4 + 7434*x^3 - 656*x^2 + 37*x - 1)
- -12*(x^34 + 2*x^33 + 3*x^32 + 2*x^31 - 3*x^29 - 6*x^28 - 8*x^27 - 9*x^26- 7*x^25 - 3*x^24 + 4*x^23 + 10*x^22 + 15*x^21 + 16*x^20 + 14*x^19 +8*x^18 - 8*x^16 - 14*x^15 - 16*x^14 - 15*x^13 - 10*x^12 - 4*x^11 +3*x^10 + 7*x^9 + 9*x^8 + 8*x^7 + 6*x^6 + 3*x^5 - 2*x^3 - 3*x^2 - 2*x -1)*(6*x^13/((x^8 - 1)*(x^5 - 1)) + 6*x^11/((x^6 - 1)*(x^5 - 1)) +6*x^11/((x^8 - 1)*(x^3 - 1)) + 6*x^11/((x^4 - 1)^2*(x^3 - 1)) +6*x^9/((x^5 - 1)*(x^4 - 1)) + 12*x^9/((x^6 - 1)*(x^3 - 1)) + 6*x^7/(x^7- 1) + 12*x^9/((x^4 - 1)*(x^3 - 1)*(x^2 - 1)) + 6*x^9/((x^4 - 1)^2*(x -1)) + 6*x^7/((x^5 - 1)*(x^2 - 1)) + 6*x^7/((x^6 - 1)*(x - 1)) -3*x^5/(x^5 - 1) + 6*x^7/((x^3 - 1)*(x^2 - 1)^2) + 12*x^7/((x^4 - 1)*(x^2- 1)*(x - 1)) - 6*x^5/((x^3 - 1)*(x^2 - 1)) - 6*x^5/((x^4 - 1)*(x - 1))+ 6*x^7/((x^2 - 1)^3*(x - 1)) - 9*x^5/((x^2 - 1)^2*(x - 1)) + x^3/((x^2- 1)*(x - 1)))*x^3/((79*x^34 + 174*x^33 + 322*x^32 + 456*x^31 + 624*x^30+ 752*x^29 + 893*x^28 + 955*x^27 + 1000*x^26 + 995*x^25 + 1001*x^24 +967*x^23 + 967*x^22 + 936*x^21 + 911*x^20 + 852*x^19 + 784*x^18 +676*x^17 + 566*x^16 + 434*x^15 + 316*x^14 + 208*x^13 + 128*x^12 +65*x^11 + 33*x^10 + 15*x^9 + 7*x^8 + 3*x^7 + x^6)*(x^3 - 1))
- -(x^34 + 2*x^33 + 3*x^32 + 2*x^31 - 3*x^29 - 6*x^28 - 8*x^27 - 9*x^26 -7*x^25 - 3*x^24 + 4*x^23 + 10*x^22 + 15*x^21 + 16*x^20 + 14*x^19 +8*x^18 - 8*x^16 - 14*x^15 - 16*x^14 - 15*x^13 - 10*x^12 - 4*x^11 +3*x^10 + 7*x^9 + 9*x^8 + 8*x^7 + 6*x^6 + 3*x^5 - 2*x^3 - 3*x^2 - 2*x -1)*(x^13/((x^8 - 1)*(x^5 - 1)) + x^11/((x^6 - 1)*(x^5 - 1)) + x^11/((x^8- 1)*(x^3 - 1)) + x^11/((x^4 - 1)^2*(x^3 - 1)) + x^9/((x^5 - 1)*(x^4 -1)) + 2*x^9/((x^6 - 1)*(x^3 - 1)) + x^7/(x^7 - 1) + 2*x^9/((x^4 -1)*(x^3 - 1)*(x^2 - 1)) + x^9/((x^4 - 1)^2*(x - 1)) - x^7/((x^4 -1)*(x^3 - 1)) + x^7/((x^5 - 1)*(x^2 - 1)) + x^7/((x^6 - 1)*(x - 1)) -x^5/(x^5 - 1) + x^7/((x^3 - 1)*(x^2 - 1)^2) + 2*x^7/((x^4 - 1)*(x^2 -1)*(x - 1)) - 2*x^5/((x^3 - 1)*(x^2 - 1)) - 2*x^5/((x^4 - 1)*(x - 1)) +x^7/((x^2 - 1)^3*(x - 1)) - 3*x^5/((x^2 - 1)^2*(x - 1)) + x^3/((x^2 -1)*(x - 1)))*x^3/((9*x^34 + 19*x^33 + 33*x^32 + 43*x^31 + 54*x^30 +59*x^29 + 66*x^28 + 67*x^27 + 72*x^26 + 79*x^25 + 96*x^24 + 115*x^23 +145*x^22 + 171*x^21 + 196*x^20 + 208*x^19 + 212*x^18 + 199*x^17 +180*x^16 + 149*x^15 + 118*x^14 + 86*x^13 + 60*x^12 + 37*x^11 + 23*x^10 +13*x^9 + 7*x^8 + 3*x^7 + x^6)*(x^3 - 1))
- (292626432*x^31 - 7695378432.0*x^30 + 94084706304.0*x^29 -712519981056.0*x^28 + 3757888797696.0*x^27 - 14715718076160.0*x^26 +44556058968960.0*x^25 - 107273952716256.0*x^24 + 209645023363168.0*x^23- 337824014576768.0*x^22 + 454329405135504.0*x^21 -514643686425920.0*x^20 + 494203416082160.0*x^19 - 403847150294172.0*x^18+ 281135354205764.0*x^17 - 166453721883480.0*x^16 +83456844800670.0*x^15 - 35182845104124.0*x^14 + 12345883162136.0*x^13 -3557728594620.0*x^12 + 827346101101.0*x^11 - 152042822189.0*x^10 +21726065190.0*x^9 - 2499103126.0*x^8 + 289877178*x^7 - 45817212*x^6 +7810422*x^5 - 1012942*x^4 + 86355*x^3 - 4311*x^2 + 96*x)/(585252864*x^31- 15390756864.0*x^30 + 188221833216.0*x^29 - 1426182018048.0*x^28 +7526493775872.0*x^27 - 29486236792320.0*x^26 + 89258591798784.0*x^25 -214574645977920.0*x^24 + 417832289937792.0*x^23 - 668920434927504.0*x^22+ 890558910282768.0*x^21 - 994821988961592.0*x^20 +939001403456656.0*x^19 - 753006145475828.0*x^18 + 515173613407544.0*x^17- 301613628545814.0*x^16 + 151411770874148.0*x^15 -65240466585284.0*x^14 + 24128330540449.0*x^13 - 7651361422835.0*x^12 +2075863416838.0*x^11 - 480152808502.0*x^10 + 94202823084.0*x^9 -15565947848.0*x^8 + 2145452227*x^7 - 243429637*x^6 + 22327010*x^5 -1613002*x^4 + 88303*x^3 - 3441*x^2 + 85*x - 1)
- 12*(x^31 + 2*x^30 + 3*x^29 + 3*x^28 + 2*x^27 - 3*x^25 - 6*x^24 - 9*x^23- 10*x^22 - 9*x^21 - 5*x^20 + 6*x^18 + 11*x^17 + 14*x^16 + 14*x^15 +11*x^14 + 6*x^13 - 5*x^11 - 9*x^10 - 10*x^9 - 9*x^8 - 6*x^7 - 3*x^6 +2*x^4 + 3*x^3 + 3*x^2 + 2*x + 1)*(6*x^13/((x^8 - 1)*(x^5 - 1)) +6*x^11/((x^6 - 1)*(x^5 - 1)) + 6*x^11/((x^8 - 1)*(x^3 - 1)) +6*x^11/((x^4 - 1)^2*(x^3 - 1)) + 6*x^9/((x^5 - 1)*(x^4 - 1)) +12*x^9/((x^6 - 1)*(x^3 - 1)) + 6*x^7/(x^7 - 1) + 12*x^9/((x^4 - 1)*(x^3- 1)*(x^2 - 1)) + 6*x^9/((x^4 - 1)^2*(x - 1)) + 6*x^7/((x^5 - 1)*(x^2 -1)) + 6*x^7/((x^6 - 1)*(x - 1)) - 3*x^5/(x^5 - 1) + 6*x^7/((x^3 -1)*(x^2 - 1)^2) + 12*x^7/((x^4 - 1)*(x^2 - 1)*(x - 1)) - 6*x^5/((x^3 -1)*(x^2 - 1)) - 6*x^5/((x^4 - 1)*(x - 1)) + 6*x^7/((x^2 - 1)^3*(x - 1))- 9*x^5/((x^2 - 1)^2*(x - 1)) + x^3/((x^2 - 1)*(x - 1)))/(79*x^31 +174*x^30 + 322*x^29 + 456*x^28 + 624*x^27 + 752*x^26 + 893*x^25 +955*x^24 + 1000*x^23 + 995*x^22 + 1001*x^21 + 967*x^20 + 967*x^19 +936*x^18 + 911*x^17 + 852*x^16 + 784*x^15 + 676*x^14 + 566*x^13 +434*x^12 + 316*x^11 + 208*x^10 + 128*x^9 + 65*x^8 + 33*x^7 + 15*x^6 +7*x^5 + 3*x^4 + x^3)
- -1
- x^197 + 11*x^196 + 66*x^195 + 284*x^194 + 979*x^193 + 2867*x^192 +7391*x^191 + 17167*x^190 + 36502*x^189 + 71854*x^188 + 132001*x^187 +227579*x^186 + 369573*x^185 + 566345*x^184 + 818910*x^183 +1114468*x^182 + 1418684*x^181 + 1667858*x^180 + 1762862*x^179 +1567406*x^178 + 913631*x^177 - 382005*x^176 - 2490306*x^175 -5527702*x^174 - 9503162*x^173 - 14258598*x^172 - 19411273*x^171 -24310113*x^170 - 28020291*x^169 - 29351159*x^168 - 26940769*x^167 -19405263*x^166 - 5553140*x^165 + 15346812*x^164 + 43268288*x^163 +77138720*x^162 + 114608227*x^161 + 151932369*x^160 + 184024666*x^159 +204725598*x^158 + 207315406*x^157 + 185268748*x^156 + 133212155*x^155 +48004017*x^154 - 70183102*x^153 - 216930246*x^152 - 382960078*x^151 -554012366*x^150 - 711346353*x^149 - 832955143*x^148 - 895498622*x^147 -876864666*x^146 - 759163548*x^145 - 531860790*x^144 - 194674273*x^143 +240182841*x^142 + 746828188*x^141 + 1285960424*x^140 + 1806771216*x^139+ 2250587298.0*x^138 + 2556103772.0*x^137 + 2665846492.0*x^136 +2533288725.0*x^135 + 2129874995*x^134 + 1451101463*x^133 +520790749*x^132 - 607206046*x^131 - 1850443990*x^130 -3102719461.0*x^129 - 4242198625.0*x^128 - 5142328327.0*x^127 -5684628585.0*x^126 - 5772140029.0*x^125 - 5342085203.0*x^124 -4376237801.0*x^123 - 2907601789.0*x^122 - 1022286568*x^121 +1144093134*x^120 + 3415602536.0*x^119 + 5590244180.0*x^118 +7458159648.0*x^117 + 8822115392.0*x^116 + 9518231826.0*x^115 +9434741790.0*x^114 + 8526633540.0*x^113 + 6824351658.0*x^112 +4435274433.0*x^111 + 1537407289*x^110 - 1634445881*x^109 -4808938651.0*x^108 - 7703022656.0*x^107 - 10048957558.0*x^106 -11620750186.0*x^105 - 12257251526.0*x^104 - 11879415820.0*x^103 -10499785534.0*x^102 - 8223052813.0*x^101 - 5237477687.0*x^100 -1797913038*x^99 + 1797913038*x^98 + 5237477687.0*x^97 +8223052813.0*x^96 + 10499785534.0*x^95 + 11879415820.0*x^94 +12257251526.0*x^93 + 11620750186.0*x^92 + 10048957558.0*x^91 +7703022656.0*x^90 + 4808938651.0*x^89 + 1634445881*x^88 -1537407289*x^87 - 4435274433.0*x^86 - 6824351658.0*x^85 -8526633540.0*x^84 - 9434741790.0*x^83 - 9518231826.0*x^82 -8822115392.0*x^81 - 7458159648.0*x^80 - 5590244180.0*x^79 -3415602536.0*x^78 - 1144093134*x^77 + 1022286568*x^76 +2907601789.0*x^75 + 4376237801.0*x^74 + 5342085203.0*x^73 +5772140029.0*x^72 + 5684628585.0*x^71 + 5142328327.0*x^70 +4242198625.0*x^69 + 3102719461.0*x^68 + 1850443990*x^67 + 607206046*x^66- 520790749*x^65 - 1451101463*x^64 - 2129874995*x^63 - 2533288725.0*x^62- 2665846492.0*x^61 - 2556103772.0*x^60 - 2250587298.0*x^59 -1806771216*x^58 - 1285960424*x^57 - 746828188*x^56 - 240182841*x^55 +194674273*x^54 + 531860790*x^53 + 759163548*x^52 + 876864666*x^51 +895498622*x^50 + 832955143*x^49 + 711346353*x^48 + 554012366*x^47 +382960078*x^46 + 216930246*x^45 + 70183102*x^44 - 48004017*x^43 -133212155*x^42 - 185268748*x^41 - 207315406*x^40 - 204725598*x^39 -184024666*x^38 - 151932369*x^37 - 114608227*x^36 - 77138720*x^35 -43268288*x^34 - 15346812*x^33 + 5553140*x^32 + 19405263*x^31 +26940769*x^30 + 29351159*x^29 + 28020291*x^28 + 24310113*x^27 +19411273*x^26 + 14258598*x^25 + 9503162*x^24 + 5527702*x^23 +2490306*x^22 + 382005*x^21 - 913631*x^20 - 1567406*x^19 - 1762862*x^18 -1667858*x^17 - 1418684*x^16 - 1114468*x^15 - 818910*x^14 - 566345*x^13 -369573*x^12 - 227579*x^11 - 132001*x^10 - 71854*x^9 - 36502*x^8 -17167*x^7 - 7391*x^6 - 2867*x^5 - 979*x^4 - 284*x^3 - 66*x^2 - 11*x - 1
- 2*(54*x^39 + 126*x^38 + 260*x^37 + 632*x^36 + 982*x^35 + 490*x^34 -3119*x^33 - 15863*x^32 - 47684*x^31 - 91844*x^30 - 58210*x^29 +316332*x^28 + 1424132*x^27 + 3324134*x^26 + 4589289*x^25 + 704005*x^24 -17181649*x^23 - 61597137*x^22 - 145295581*x^21 - 275100707*x^20 -445615046*x^19 - 635893628*x^18 - 812413066*x^17 - 938015444*x^16 -984212615*x^15 - 941074901*x^14 - 820670989*x^13 - 652017897*x^12 -470650261*x^11 - 307206501*x^10 - 180088868*x^9 - 93896850*x^8 -42976662*x^7 - 16954312*x^6 - 5621180*x^5 - 1509124*x^4 - 310723*x^3 -44667*x^2 - 3784*x - 124)*(x^37 + x^36 - 3*x^35 - 7*x^34 - 3*x^33 +11*x^32 + 21*x^31 + 13*x^30 - 13*x^29 - 41*x^28 - 44*x^27 - 8*x^26 +49*x^25 + 81*x^24 + 57*x^23 - 15*x^22 - 88*x^21 - 106*x^20 - 48*x^19 +48*x^18 + 106*x^17 + 88*x^16 + 15*x^15 - 57*x^14 - 81*x^13 - 49*x^12 +8*x^11 + 44*x^10 + 41*x^9 + 13*x^8 - 13*x^7 - 21*x^6 - 11*x^5 + 3*x^4 +7*x^3 + 3*x^2 - x - 1)*x^7/((54*x^46 + 126*x^45 + 260*x^44 + 632*x^43 +982*x^42 + 490*x^41 - 3119*x^40 - 15863*x^39 - 47684*x^38 - 91844*x^37 -58210*x^36 + 316332*x^35 + 1424132*x^34 + 3324134*x^33 + 4589289*x^32 +704005*x^31 - 17181649*x^30 - 61597137*x^29 - 145295581*x^28 -275100707*x^27 - 445615046*x^26 - 635893628*x^25 - 812413066*x^24 -938015444*x^23 - 984212615*x^22 - 941074901*x^21 - 820670989*x^20 -652017897*x^19 - 470650261*x^18 - 307206501*x^17 - 180088868*x^16 -93896850*x^15 - 42976662*x^14 - 16954312*x^13 - 5621180*x^12 -1509124*x^11 - 310723*x^10 - 44667*x^9 - 3784*x^8 - 124*x^7)*(x^4 + x^3+ x^2 + x + 1)^2*(x^2 + x + 1)^4*(x^2 + 1)^2*(x + 1)^6*(x - 1)^11)
- 2*(162*x^30 - 350*x^29 - 1488*x^28 - 718*x^27 + 2389*x^26 + 6635*x^25 +6157*x^24 - 3372*x^23 - 15873*x^22 - 22215*x^21 - 8561*x^20 + 23622*x^19+ 55919*x^18 + 38469*x^17 - 91949*x^16 - 461696*x^15 - 1076702*x^14 -1978832*x^13 - 2858196*x^12 - 3576618*x^11 - 3727323*x^10 - 3419559*x^9- 2634463*x^8 - 1782420*x^7 - 988307*x^6 - 472291*x^5 - 171451*x^4 -53262*x^3 - 10265*x^2 - 1713*x - 49)*(x^28 + x^27 - 3*x^26 - 6*x^25 -3*x^24 + 9*x^23 + 20*x^22 + 11*x^21 - 15*x^20 - 40*x^19 - 31*x^18 +15*x^17 + 53*x^16 + 50*x^15 - 50*x^13 - 53*x^12 - 15*x^11 + 31*x^10 +40*x^9 + 15*x^8 - 11*x^7 - 20*x^6 - 9*x^5 + 3*x^4 + 6*x^3 + 3*x^2 - x -1)*x^7/((162*x^37 - 350*x^36 - 1488*x^35 - 718*x^34 + 2389*x^33 +6635*x^32 + 6157*x^31 - 3372*x^30 - 15873*x^29 - 22215*x^28 - 8561*x^27+ 23622*x^26 + 55919*x^25 + 38469*x^24 - 91949*x^23 - 461696*x^22 -1076702*x^21 - 1978832*x^20 - 2858196*x^19 - 3576618*x^18 - 3727323*x^17- 3419559*x^16 - 2634463*x^15 - 1782420*x^14 - 988307*x^13 - 472291*x^12- 171451*x^11 - 53262*x^10 - 10265*x^9 - 1713*x^8 - 49*x^7)*(x^2 + x +1)^3*(x^2 + 1)^3*(x + 1)^7*(x - 1)^9)
- -2.0*(1176.0*x^72 + 5556.0*x^71 + 15132.0*x^70 + 28428.0*x^69 +39340.0*x^68 + 30066.0*x^67 - 16046.0*x^66 - 97562.0*x^65 -191158.0*x^64 - 227584.0*x^63 - 150082.0*x^62 + 56017.0*x^61 +289119.0*x^60 + 339896.0*x^59 + 45336.0*x^58 - 611255.0*x^57 -1380704.0*x^56 - 2278261.0*x^55 - 3764650.0*x^54 - 7542849.0*x^53 -7704482.0*x^52 + 18495516.0*x^51 + 165924351.0*x^50 + 637466559.0*x^49 +1903273538.0*x^48 + 4724140916.0*x^47 + 10422040024.0*x^46 +20690172375.0*x^45 + 37875420877.0*x^44 + 64238796480.0*x^43 +102190978070.0*x^42 + 152823563437.0*x^41 + 216401077492.0*x^40 +290462738417.0*x^39 + 371272897408.0*x^38 + 452086367452.0*x^37 +526060962825.0*x^36 + 584865148004.0*x^35 + 622627590675.0*x^34 +634259897550.0*x^33 + 619201117902.0*x^32 + 578669435625.0*x^31 +518210895306.0*x^30 + 443951015905.0*x^29 + 364069798686.0*x^28 +285127462600.0*x^27 + 213313173667.0*x^26 + 151952471981.0*x^25 +103062047860.0*x^24 + 66251579160.0*x^23 + 40354587182.0*x^22 +23135311545.0*x^21 + 12479773177.0*x^20 + 6269223018.0*x^19 +2933204824.0*x^18 + 1256492269.0*x^17 + 493760966.0*x^16 +172473531.0*x^15 + 54013568.0*x^14 + 14176791.0*x^13 + 3222186.0*x^12 +525572.0*x^11 + 74355.0*x^10 + 4605.0*x^9 + 320.0*x^8)/(x^58 + 3*x^57 +5*x^56 + 5*x^55 - 2*x^54 - 17*x^53 - 37*x^52 - 49*x^51 - 35*x^50 +16*x^49 + 101*x^48 + 185*x^47 + 215*x^46 + 139*x^45 - 56*x^44 - 321*x^43- 544*x^42 - 588*x^41 - 368*x^40 + 99*x^39 + 656*x^38 + 1069*x^37 +1111*x^36 + 689*x^35 - 84*x^34 - 929*x^33 - 1488*x^32 - 1506*x^31 -939*x^30 + 939*x^28 + 1506*x^27 + 1488*x^26 + 929*x^25 + 84*x^24 -689*x^23 - 1111*x^22 - 1069*x^21 - 656*x^20 - 99*x^19 + 368*x^18 +588*x^17 + 544*x^16 + 321*x^15 + 56*x^14 - 139*x^13 - 215*x^12 -185*x^11 - 101*x^10 - 16*x^9 + 35*x^8 + 49*x^7 + 37*x^6 + 17*x^5 + 2*x^4- 5*x^3 - 5*x^2 - 3*x - 1)
- (1176*x^72 + 5556*x^71 + 15132*x^70 + 28428*x^69 + 39340*x^68 +30066*x^67 - 16046*x^66 - 97562*x^65 - 191158*x^64 - 227584*x^63 -150082*x^62 + 56017*x^61 + 289119*x^60 + 339896*x^59 + 45336*x^58 -611255*x^57 - 1380704*x^56 - 2278261*x^55 - 3764650*x^54 - 7542849*x^53- 7704482*x^52 + 18495516*x^51 + 165924351*x^50 + 637466559*x^49 +1903273538*x^48 + 4724140916.0*x^47 + 10422040024.0*x^46 +20690172375.0*x^45 + 37875420877.0*x^44 + 64238796480.0*x^43 +102190978070.0*x^42 + 152823563437.0*x^41 + 216401077492.0*x^40 +290462738417.0*x^39 + 371272897408.0*x^38 + 452086367452.0*x^37 +526060962825.0*x^36 + 584865148004.0*x^35 + 622627590675.0*x^34 +634259897550.0*x^33 + 619201117902.0*x^32 + 578669435625.0*x^31 +518210895306.0*x^30 + 443951015905.0*x^29 + 364069798686.0*x^28 +285127462600.0*x^27 + 213313173667.0*x^26 + 151952471981.0*x^25 +103062047860.0*x^24 + 66251579160.0*x^23 + 40354587182.0*x^22 +23135311545.0*x^21 + 12479773177.0*x^20 + 6269223018.0*x^19 +2933204824.0*x^18 + 1256492269*x^17 + 493760966*x^16 + 172473531*x^15 +54013568*x^14 + 14176791*x^13 + 3222186*x^12 + 525572*x^11 + 74355*x^10+ 4605*x^9 + 320*x^8)/(x^58 + 3*x^57 + 5*x^56 + 5*x^55 - 2*x^54 -17*x^53 - 37*x^52 - 49*x^51 - 35*x^50 + 16*x^49 + 101*x^48 + 185*x^47 +215*x^46 + 139*x^45 - 56*x^44 - 321*x^43 - 544*x^42 - 588*x^41 -368*x^40 + 99*x^39 + 656*x^38 + 1069*x^37 + 1111*x^36 + 689*x^35 -84*x^34 - 929*x^33 - 1488*x^32 - 1506*x^31 - 939*x^30 + 939*x^28 +1506*x^27 + 1488*x^26 + 929*x^25 + 84*x^24 - 689*x^23 - 1111*x^22 -1069*x^21 - 656*x^20 - 99*x^19 + 368*x^18 + 588*x^17 + 544*x^16 +321*x^15 + 56*x^14 - 139*x^13 - 215*x^12 - 185*x^11 - 101*x^10 - 16*x^9+ 35*x^8 + 49*x^7 + 37*x^6 + 17*x^5 + 2*x^4 - 5*x^3 - 5*x^2 - 3*x - 1)
- -1
- -1
- -1
- -(2097152*x^42 - 1048576*x^40 - 131072*x^38 - 1638400*x^36 + 581632*x^34- 536576*x^32 + 811520*x^30 - 301824*x^28 + 362752*x^26 - 220800*x^24 +34816*x^22 - 54912*x^20 + 39568*x^18 + 5192*x^16 + 5438*x^14 - 4973*x^12- 1032*x^10 - 79*x^8 + 150*x^6 + 21*x^4 + 4*x^2 - 1)*(2097152*x^40 -1048576*x^38 + 393216*x^36 - 1900544*x^34 + 679936*x^32 - 806912*x^30 +946688*x^28 - 470272*x^26 + 485376*x^24 - 246656*x^22 + 62592*x^20 -65600*x^18 + 33296*x^16 + 4584*x^14 + 5670*x^12 - 4271*x^10 - 1199*x^8 +194*x^6 + 168*x^4 + 21*x^2 + 1)*x^5/((2097152*x^45 - 1048576*x^43 +393216*x^41 - 1900544*x^39 + 679936*x^37 - 806912*x^35 + 946688*x^33 -470272*x^31 + 485376*x^29 - 246656*x^27 + 62592*x^25 - 65600*x^23 +33296*x^21 + 4584*x^19 + 5670*x^17 - 4271*x^15 - 1199*x^13 + 194*x^11 +168*x^9 + 21*x^7 + x^5)*(128*x^12 - 64*x^10 + 40*x^8 - 28*x^6 + 14*x^4 +x^2 + 1)*(2*x^4 + x^2 + 1)*(4*x^3 + 4*x^2 + x - 1)*(4*x^3 + 2*x^2 +1)*(4*x^3 - 2*x^2 - 1)*(4*x^3 - 4*x^2 + x + 1)*(2*x^3 + x + 1)*(2*x^3 +x - 1)*(2*x^2 + x + 1)*(2*x^2 - x + 1)*(2*x^2 - 1)*(x + 1)*(x - 1))
- 1
- (x^58 - x^57 - x + 1)*(x^57 + x^56 + x^55 + x^54 + 3*x^53 + 3*x^52 +2*x^51 + x^50 + 3*x^49 + x^48 + 2*x^47 + 3*x^46 + 2*x^45 + x^44 + 2*x^43+ x^42 + 3*x^41 + x^40 + 2*x^39 + 3*x^38 + x^37 + 2*x^36 + 2*x^35 + x^34+ 2*x^33 + x^32 + x^31 + 2*x^30 + 3*x^29 + 3*x^28 + 2*x^27 + x^26 + x^25+ 2*x^24 + x^23 + 2*x^22 + 2*x^21 + x^20 + 3*x^19 + 2*x^18 + x^17 +3*x^16 + x^15 + 2*x^14 + x^13 + 2*x^12 + 3*x^11 + 2*x^10 + x^9 + 3*x^8 +x^7 + 2*x^6 + 3*x^5 + 3*x^4 + x^3 + x^2 + x + 2)*x/((x^58 + x^57 + x^56+ x^55 + 3*x^54 + 3*x^53 + 2*x^52 + x^51 + 3*x^50 + x^49 + 2*x^48 +3*x^47 + 2*x^46 + x^45 + 2*x^44 + x^43 + 3*x^42 + x^41 + 2*x^40 + 3*x^39+ x^38 + 2*x^37 + 2*x^36 + x^35 + 2*x^34 + x^33 + x^32 + 2*x^31 + 3*x^30+ 3*x^29 + 2*x^28 + x^27 + x^26 + 2*x^25 + x^24 + 2*x^23 + 2*x^22 + x^21+ 3*x^20 + 2*x^19 + x^18 + 3*x^17 + x^16 + 2*x^15 + x^14 + 2*x^13 +3*x^12 + 2*x^11 + x^10 + 3*x^9 + x^8 + 2*x^7 + 3*x^6 + 3*x^5 + x^4 + x^3+ x^2 + 2*x)*(x^36 - x^35 + x^33 - x^32 + x^30 - x^29 + x^27 - x^26 +x^24 - x^23 + x^21 - x^20 + x^18 - x^16 + x^15 - x^13 + x^12 - x^10 +x^9 - x^7 + x^6 - x^4 + x^3 - x + 1)*(x^18 + x^17 + x^16 + x^15 + x^14 +x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 +x^2 + x + 1)*(x^2 + x + 1)*(x - 1)^2)
- (1814400*x^35 + 40296960*x^34 + 886822848*x^33 + 11409954048.0*x^32 +114139754640.0*x^31 + 825208538976.0*x^30 + 4626523286784.0*x^29 +20053355514432.0*x^28 + 69437485065568.0*x^27 + 193439021364992.0*x^26 +441522962242112.0*x^25 + 830385114423230.0*x^24 +1299805958526130.0*x^23 + 1697559738675810.0*x^22 +1858025785065980.0*x^21 + 1702685191327360.0*x^20 +1306127867151810.0*x^19 + 834589776967425.0*x^18 +441941238261312.0*x^17 + 191968404763776.0*x^16 + 67595031080688.0*x^15+ 18935420530208.0*x^14 + 4122406376704.0*x^13 + 673196931904.0*x^12 +78588793696.0*x^11 + 6076565504.0*x^10 + 276636608*x^9 + 5980864*x^8 +40400*x^7 + 32*x^6)/(x^36 - 6*x^35 + 70*x^33 - 105*x^32 - 336*x^31 +896*x^30 + 720*x^29 - 3900*x^28 + 280*x^27 + 10752*x^26 - 6552*x^25 -20020*x^24 + 21840*x^23 + 24960*x^22 - 43472*x^21 - 18018*x^20 +60060*x^19 - 60060*x^17 + 18018*x^16 + 43472*x^15 - 24960*x^14 -21840*x^13 + 20020*x^12 + 6552*x^11 - 10752*x^10 - 280*x^9 + 3900*x^8 -720*x^7 - 896*x^6 + 336*x^5 + 105*x^4 - 70*x^3 + 6*x - 1)
- -1
- -2*(x^32 + 4*x^31 + 10*x^30 + 17*x^29 + 20*x^28 + 11*x^27 - 15*x^26 -54*x^25 - 90*x^24 - 99*x^23 - 63*x^22 + 18*x^21 + 116*x^20 + 188*x^19 +194*x^18 + 123*x^17 - 123*x^15 - 194*x^14 - 188*x^13 - 116*x^12 -18*x^11 + 63*x^10 + 99*x^9 + 90*x^8 + 54*x^7 + 15*x^6 - 11*x^5 - 20*x^4- 17*x^3 - 10*x^2 - 4*x - 1)*(2*x^29 + 22*x^28 + 127*x^27 + 514*x^26 +1622*x^25 + 4223*x^24 + 9388*x^23 + 18321*x^22 + 31926*x^21 + 50428*x^20+ 72808*x^19 + 96892*x^18 + 119239*x^17 + 136037*x^16 + 143882*x^15 +141070*x^14 + 128088*x^13 + 107667*x^12 + 83709*x^11 + 60206*x^10 +39974*x^9 + 24466*x^8 + 13670*x^7 + 6917*x^6 + 3100*x^5 + 1203*x^4 +384*x^3 + 96*x^2 + 17*x + 2)*x^2/((2*x^31 + 22*x^30 + 127*x^29 +514*x^28 + 1622*x^27 + 4223*x^26 + 9388*x^25 + 18321*x^24 + 31926*x^23 +50428*x^22 + 72808*x^21 + 96892*x^20 + 119239*x^19 + 136037*x^18 +143882*x^17 + 141070*x^16 + 128088*x^15 + 107667*x^14 + 83709*x^13 +60206*x^12 + 39974*x^11 + 24466*x^10 + 13670*x^9 + 6917*x^8 + 3100*x^7 +1203*x^6 + 384*x^5 + 96*x^4 + 17*x^3 + 2*x^2)*(x^4 + x^3 + x^2 + x +1)^3*(x^2 + x + 1)^3*(x^2 + 1)^3*(x + 1)^3*(x - 1)^5)
- (x^55 - x^54 - 6*x^28 + 6*x^27 + x - 1)*(73*x^53 + 116*x^52 + 100*x^51 +171*x^50 + 104*x^49 + 184*x^48 + 57*x^47 + 92*x^46 + 55*x^45 + 80*x^44 +88*x^43 + 53*x^42 + 139*x^41 + 113*x^40 + 139*x^39 + 53*x^38 + 88*x^37 +80*x^36 + 55*x^35 + 92*x^34 + 57*x^33 + 184*x^32 + 104*x^31 + 171*x^30 +100*x^29 + 116*x^28 + 73*x^27 - 363*x^26 - 568*x^25 - 480*x^24 -797*x^23 - 468*x^22 - 792*x^21 - 235*x^20 - 368*x^19 - 213*x^18 -300*x^17 - 316*x^16 - 183*x^15 - 453*x^14 - 339*x^13 - 381*x^12 -135*x^11 - 212*x^10 - 180*x^9 - 117*x^8 - 184*x^7 - 107*x^6 - 312*x^5 -156*x^4 - 229*x^3 - 120*x^2 - 128*x - 75)*x^2/((73*x^55 + 116*x^54 +100*x^53 + 171*x^52 + 104*x^51 + 184*x^50 + 57*x^49 + 92*x^48 + 55*x^47+ 80*x^46 + 88*x^45 + 53*x^44 + 139*x^43 + 113*x^42 + 139*x^41 + 53*x^40+ 88*x^39 + 80*x^38 + 55*x^37 + 92*x^36 + 57*x^35 + 184*x^34 + 104*x^33+ 171*x^32 + 100*x^31 + 116*x^30 + 73*x^29 - 363*x^28 - 568*x^27 -480*x^26 - 797*x^25 - 468*x^24 - 792*x^23 - 235*x^22 - 368*x^21 -213*x^20 - 300*x^19 - 316*x^18 - 183*x^17 - 453*x^16 - 339*x^15 -381*x^14 - 135*x^13 - 212*x^12 - 180*x^11 - 117*x^10 - 184*x^9 - 107*x^8- 312*x^7 - 156*x^6 - 229*x^5 - 120*x^4 - 128*x^3 - 75*x^2)*(x^54 -6*x^27 + 1)*(x - 1))
- -(x^51 - x^50 + x - 1)/((x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36- x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 -x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1)*(x^2 + 1)*(x - 1))
- 1/(x^64 - x^63 - 364*x^62 - 1001*x^61 + 38201*x^60 + 105712*x^59 -2211762*x^58 - 4217118*x^57 + 82334488*x^56 + 64468962*x^55 -2025117234*x^54 + 509475184*x^53 + 32483264101.0*x^52 -33752321941.0*x^51 - 339964242684.0*x^50 + 528711060595.0*x^49 +2495656595405.0*x^48 - 4688037110080.0*x^47 - 13852972917720.0*x^46 +27969412365720.0*x^45 + 61697904569120.0*x^44 - 120430586646120.0*x^43 -228465637822680.0*x^42 + 384451333138880.0*x^41 + 708246172128370.0*x^40- 907322296049458.0*x^39 - 1805460981200790.0*x^38 +1527619151590460.0*x^37 + 3666938083623460.0*x^36 -1657525187075810.0*x^35 - 5729687954765680.0*x^34 +751659706328076.0*x^33 + 6681256361675660.0*x^32 +751659706328076.0*x^31 - 5729687954765680.0*x^30 -1657525187075810.0*x^29 + 3666938083623460.0*x^28 +1527619151590460.0*x^27 - 1805460981200790.0*x^26 -907322296049458.0*x^25 + 708246172128370.0*x^24 + 384451333138880.0*x^23- 228465637822680.0*x^22 - 120430586646120.0*x^21 +61697904569120.0*x^20 + 27969412365720.0*x^19 - 13852972917720.0*x^18 -4688037110080.0*x^17 + 2495656595405.0*x^16 + 528711060595.0*x^15 -339964242684.0*x^14 - 33752321941.0*x^13 + 32483264101.0*x^12 +509475184*x^11 - 2025117234*x^10 + 64468962*x^9 + 82334488*x^8 -4217118*x^7 - 2211762*x^6 + 105712*x^5 + 38201*x^4 - 1001*x^3 - 364*x^2- x + 1)
- (x^32 - 4*x^31 + 5*x^30 - 2*x^29 + 2*x^28 - 2*x^27 - 5*x^26 + 7*x^25 -2*x^24 + 2*x^23 + x^22 - 9*x^21 + 6*x^20 + x^19 - x^18 + 7*x^17 -14*x^16 + 7*x^15 - x^14 + x^13 + 6*x^12 - 9*x^11 + x^10 + 2*x^9 - 2*x^8+ 7*x^7 - 5*x^6 - 2*x^5 + 2*x^4 - 2*x^3 + 5*x^2 - 4*x + 1)/((x^6 + x^5 +x^4 + x^3 + x^2 + x + 1)*(x^6 + x^3 + 1)*(x^2 + x + 1)^3*(x^2 + 1)*(x +1)^2*(x - 1)^10)
- -(x^35 - 3*x^34 - 23*x^33 + 79*x^32 + 221*x^31 - 933*x^30 - 1070*x^29 +6503*x^28 + 1866*x^27 - 29555*x^26 + 8212*x^25 + 90928*x^24 - 66653*x^23- 188237*x^22 + 227740*x^21 + 242886*x^20 - 478376*x^19 - 129150*x^18 +654497*x^17 - 151828*x^16 - 561450*x^15 + 379864*x^14 + 243678*x^13 -354615*x^12 + 23872*x^11 + 161306*x^10 - 83601*x^9 - 19353*x^8 +34263*x^7 - 10943*x^6 - 2103*x^5 + 2843*x^4 - 1052*x^3 + 207*x^2 - 22*x+ 1)/((x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1)*(x^4 + x^3 - 3*x^2 - 2*x +1)^2*(x^3 - x^2 - 2*x + 1)^3*(x^2 + x - 1)^4*(x - 1)^5)
- (x^198 + 2*x^197 + 4*x^196 + 4*x^195 + 5*x^194 + 5*x^193 + 6*x^192 +6*x^191 + 5*x^190 + 5*x^189 + 7*x^188 + 10*x^187 + 14*x^186 + 13*x^185 +15*x^184 + 14*x^183 + 16*x^182 + 14*x^181 + 11*x^180 + 10*x^179 +14*x^178 + 20*x^177 + 28*x^176 + 26*x^175 + 30*x^174 + 28*x^173 +32*x^172 + 28*x^171 + 22*x^170 + 20*x^169 + 24*x^168 + 32*x^167 +40*x^166 + 36*x^165 + 40*x^164 + 36*x^163 + 40*x^162 + 32*x^161 +24*x^160 + 20*x^159 + 25*x^158 + 34*x^157 + 44*x^156 + 40*x^155 +45*x^154 + 41*x^153 + 46*x^152 + 38*x^151 + 29*x^150 + 25*x^149 +30*x^148 + 40*x^147 + 50*x^146 + 45*x^145 + 50*x^144 + 45*x^143 +50*x^142 + 40*x^141 + 30*x^140 + 25*x^139 + 31*x^138 + 42*x^137 +54*x^136 + 49*x^135 + 55*x^134 + 50*x^133 + 56*x^132 + 46*x^131 +35*x^130 + 30*x^129 + 36*x^128 + 48*x^127 + 60*x^126 + 54*x^125 +60*x^124 + 54*x^123 + 60*x^122 + 48*x^121 + 36*x^120 + 30*x^119 +35*x^118 + 46*x^117 + 56*x^116 + 50*x^115 + 55*x^114 + 49*x^113 +54*x^112 + 42*x^111 + 31*x^110 + 25*x^109 + 30*x^108 + 40*x^107 +50*x^106 + 45*x^105 + 50*x^104 + 45*x^103 + 50*x^102 + 40*x^101 +30*x^100 + 25*x^99 + 30*x^98 + 40*x^97 + 50*x^96 + 45*x^95 + 50*x^94 +45*x^93 + 50*x^92 + 40*x^91 + 30*x^90 + 25*x^89 + 31*x^88 + 42*x^87 +54*x^86 + 49*x^85 + 55*x^84 + 50*x^83 + 56*x^82 + 46*x^81 + 35*x^80 +30*x^79 + 36*x^78 + 48*x^77 + 60*x^76 + 54*x^75 + 60*x^74 + 54*x^73 +60*x^72 + 48*x^71 + 36*x^70 + 30*x^69 + 35*x^68 + 46*x^67 + 56*x^66 +50*x^65 + 55*x^64 + 49*x^63 + 54*x^62 + 42*x^61 + 31*x^60 + 25*x^59 +30*x^58 + 40*x^57 + 50*x^56 + 45*x^55 + 50*x^54 + 45*x^53 + 50*x^52 +40*x^51 + 30*x^50 + 25*x^49 + 29*x^48 + 38*x^47 + 46*x^46 + 41*x^45 +45*x^44 + 40*x^43 + 44*x^42 + 34*x^41 + 25*x^40 + 20*x^39 + 24*x^38 +32*x^37 + 40*x^36 + 36*x^35 + 40*x^34 + 36*x^33 + 40*x^32 + 32*x^31 +24*x^30 + 20*x^29 + 22*x^28 + 28*x^27 + 32*x^26 + 28*x^25 + 30*x^24 +26*x^23 + 28*x^22 + 20*x^21 + 14*x^20 + 10*x^19 + 11*x^18 + 14*x^17 +16*x^16 + 14*x^15 + 15*x^14 + 13*x^13 + 14*x^12 + 10*x^11 + 7*x^10 +5*x^9 + 5*x^8 + 6*x^7 + 6*x^6 + 5*x^5 + 5*x^4 + 4*x^3 + 4*x^2 + 2*x +1)/x^99
- (x^50 + 1/x^50 + 1)*(x^20 + 1/x^20 + 1)*(x^10 + 1/x^10 + 1)^2*(x^5 +1/x^5 + 1)*(x^2 + 1/x^2 + 1)*(x + 1/x + 1)^2*x^99/(x^198 + 2*x^197 +4*x^196 + 4*x^195 + 5*x^194 + 5*x^193 + 6*x^192 + 6*x^191 + 5*x^190 +5*x^189 + 7*x^188 + 10*x^187 + 14*x^186 + 13*x^185 + 15*x^184 + 14*x^183+ 16*x^182 + 14*x^181 + 11*x^180 + 10*x^179 + 14*x^178 + 20*x^177 +28*x^176 + 26*x^175 + 30*x^174 + 28*x^173 + 32*x^172 + 28*x^171 +22*x^170 + 20*x^169 + 24*x^168 + 32*x^167 + 40*x^166 + 36*x^165 +40*x^164 + 36*x^163 + 40*x^162 + 32*x^161 + 24*x^160 + 20*x^159 +25*x^158 + 34*x^157 + 44*x^156 + 40*x^155 + 45*x^154 + 41*x^153 +46*x^152 + 38*x^151 + 29*x^150 + 25*x^149 + 30*x^148 + 40*x^147 +50*x^146 + 45*x^145 + 50*x^144 + 45*x^143 + 50*x^142 + 40*x^141 +30*x^140 + 25*x^139 + 31*x^138 + 42*x^137 + 54*x^136 + 49*x^135 +55*x^134 + 50*x^133 + 56*x^132 + 46*x^131 + 35*x^130 + 30*x^129 +36*x^128 + 48*x^127 + 60*x^126 + 54*x^125 + 60*x^124 + 54*x^123 +60*x^122 + 48*x^121 + 36*x^120 + 30*x^119 + 35*x^118 + 46*x^117 +56*x^116 + 50*x^115 + 55*x^114 + 49*x^113 + 54*x^112 + 42*x^111 +31*x^110 + 25*x^109 + 30*x^108 + 40*x^107 + 50*x^106 + 45*x^105 +50*x^104 + 45*x^103 + 50*x^102 + 40*x^101 + 30*x^100 + 25*x^99 + 30*x^98+ 40*x^97 + 50*x^96 + 45*x^95 + 50*x^94 + 45*x^93 + 50*x^92 + 40*x^91 +30*x^90 + 25*x^89 + 31*x^88 + 42*x^87 + 54*x^86 + 49*x^85 + 55*x^84 +50*x^83 + 56*x^82 + 46*x^81 + 35*x^80 + 30*x^79 + 36*x^78 + 48*x^77 +60*x^76 + 54*x^75 + 60*x^74 + 54*x^73 + 60*x^72 + 48*x^71 + 36*x^70 +30*x^69 + 35*x^68 + 46*x^67 + 56*x^66 + 50*x^65 + 55*x^64 + 49*x^63 +54*x^62 + 42*x^61 + 31*x^60 + 25*x^59 + 30*x^58 + 40*x^57 + 50*x^56 +45*x^55 + 50*x^54 + 45*x^53 + 50*x^52 + 40*x^51 + 30*x^50 + 25*x^49 +29*x^48 + 38*x^47 + 46*x^46 + 41*x^45 + 45*x^44 + 40*x^43 + 44*x^42 +34*x^41 + 25*x^40 + 20*x^39 + 24*x^38 + 32*x^37 + 40*x^36 + 36*x^35 +40*x^34 + 36*x^33 + 40*x^32 + 32*x^31 + 24*x^30 + 20*x^29 + 22*x^28 +28*x^27 + 32*x^26 + 28*x^25 + 30*x^24 + 26*x^23 + 28*x^22 + 20*x^21 +14*x^20 + 10*x^19 + 11*x^18 + 14*x^17 + 16*x^16 + 14*x^15 + 15*x^14 +13*x^13 + 14*x^12 + 10*x^11 + 7*x^10 + 5*x^9 + 5*x^8 + 6*x^7 + 6*x^6 +5*x^5 + 5*x^4 + 4*x^3 + 4*x^2 + 2*x + 1)
- -1/6*(96*x^28 - 768*x^27 + 568*x^26 + 8512*x^25 - 16748*x^24 -23008*x^23 + 68978*x^22 - 12208*x^21 - 45823*x^20 + 57512*x^19 -79848*x^18 - 17640*x^17 + 116453*x^16 - 32832*x^15 - 44788*x^14 +35296*x^13 - 29182*x^12 - 10736*x^11 + 50352*x^10 - 11408*x^9 -24538*x^8 + 9568*x^7 + 4754*x^6 - 2544*x^5 - 259*x^4 + 264*x^3 - 16*x^2- 8*x + 1)*(288*x^2 + 12*x + 24*(x^2 - 2)/(2*x^4 - x^2 + 1) - 6*(3*x +17)/(x^2 - 4*x + 1) + 12*(2*x + 1)/(2*x^2 - 4*x - 1) - 12*(2*x -1)/(2*x^2 + 4*x - 1) - 6*(x + 1)/(x^2 - 2*x - 1) + 6*(x - 1)/(x^2 + 2*x- 1) + 6*(x - 1)/(x^2 + 1) - 32/(3*x^2 - 1) - 12*(31*x - 8)/(x^2 - 4*x +1)^2 - 1/(2*x + 1) + 1/(2*x - 1) + 4/(x + 1) - 4/(x - 1) - 12*x/(x^2 +1)^2 - 6/(x + 1)^2 + 6/(x - 1)^2 + 34)/(2304*x^30 - 18336*x^29 +13136*x^28 + 202584*x^27 - 392360*x^26 - 543364*x^25 + 1592828*x^24 -300330*x^23 - 949742*x^22 + 1349115*x^21 - 1960080*x^20 - 421043*x^19 +2430984*x^18 - 354608*x^17 - 857888*x^16 + 357988*x^15 - 556324*x^14 -65834*x^13 + 1042504*x^12 - 240510*x^11 - 572752*x^10 + 197708*x^9 +123588*x^8 - 53026*x^7 - 8190*x^6 + 4919*x^5 - 168*x^4 - 63*x^3)
- -1/3*(10368*x^42 + 20736*x^41 - 33408*x^40 + 37824*x^39 + 306368*x^38 -35808*x^37 - 556704*x^36 - 309376*x^35 + 320080*x^34 + 1205472*x^33 +510472*x^32 - 1325720*x^31 - 1135408*x^30 + 86176*x^29 + 1315068*x^28 +1001928*x^27 - 429870*x^26 - 705384*x^25 - 268146*x^24 + 44218*x^23 -137678*x^22 - 133874*x^21 + 43949*x^20 + 192124*x^19 + 65743*x^18 -81157*x^17 + 34564*x^16 + 59869*x^15 + 15276*x^14 - 20915*x^13 -26596*x^12 + 3817*x^11 + 3066*x^10 - 2486*x^9 - 159*x^8 - 514*x^7 +948*x^6 + 152*x^5 - 66*x^4 + 58*x^3 - 49*x^2 - 8*x + 4)/(1152*x^40 +3072*x^39 - 1664*x^38 + 24384*x^36 + 9952*x^35 - 36448*x^34 - 42432*x^33- 13984*x^32 + 82976*x^31 + 127432*x^30 + 34352*x^29 - 35976*x^28 -56928*x^27 + 10920*x^26 + 49122*x^25 - 7890*x^24 - 38176*x^23 -21214*x^22 + 18944*x^21 + 22582*x^20 + 17342*x^19 + 20951*x^18 +33796*x^17 + 25490*x^16 + 6350*x^15 + 2790*x^14 + 3911*x^13 + 3703*x^12+ 2*x^11 - 2148*x^10 - 958*x^9 - 255*x^8 - 86*x^7 + 9*x^6 - 53*x^5 +33*x^4 + 5*x^3 + x^2 + 5*x - 1)
- 1/3*(10368*x^42 + 20736*x^41 - 33408*x^40 + 37824*x^39 + 306368*x^38 -35808*x^37 - 556704*x^36 - 309376*x^35 + 320080*x^34 + 1205472*x^33 +510472*x^32 - 1325720*x^31 - 1135408*x^30 + 86176*x^29 + 1315068*x^28 +1001928*x^27 - 429870*x^26 - 705384*x^25 - 268146*x^24 + 44218*x^23 -137678*x^22 - 133874*x^21 + 43949*x^20 + 192124*x^19 + 65743*x^18 -81157*x^17 + 34564*x^16 + 59869*x^15 + 15276*x^14 - 20915*x^13 -26596*x^12 + 3817*x^11 + 3066*x^10 - 2486*x^9 - 159*x^8 - 514*x^7 +948*x^6 + 152*x^5 - 66*x^4 + 58*x^3 - 49*x^2 - 8*x + 4)/(1152*x^40 +3072*x^39 - 1664*x^38 + 24384*x^36 + 9952*x^35 - 36448*x^34 - 42432*x^33- 13984*x^32 + 82976*x^31 + 127432*x^30 + 34352*x^29 - 35976*x^28 -56928*x^27 + 10920*x^26 + 49122*x^25 - 7890*x^24 - 38176*x^23 -21214*x^22 + 18944*x^21 + 22582*x^20 + 17342*x^19 + 20951*x^18 +33796*x^17 + 25490*x^16 + 6350*x^15 + 2790*x^14 + 3911*x^13 + 3703*x^12+ 2*x^11 - 2148*x^10 - 958*x^9 - 255*x^8 - 86*x^7 + 9*x^6 - 53*x^5 +33*x^4 + 5*x^3 + x^2 + 5*x - 1)
- -(1152*x^40 + 3072*x^39 - 1664*x^38 + 24384*x^36 + 9952*x^35 -36448*x^34 - 42432*x^33 - 13984*x^32 + 82976*x^31 + 127432*x^30 +34352*x^29 - 35976*x^28 - 56928*x^27 + 10920*x^26 + 49122*x^25 -7890*x^24 - 38176*x^23 - 21214*x^22 + 18944*x^21 + 22582*x^20 +17342*x^19 + 20951*x^18 + 33796*x^17 + 25490*x^16 + 6350*x^15 +2790*x^14 + 3911*x^13 + 3703*x^12 + 2*x^11 - 2148*x^10 - 958*x^9 -255*x^8 - 86*x^7 + 9*x^6 - 53*x^5 + 33*x^4 + 5*x^3 + x^2 + 5*x -1)*(9*x^2 - 6*x + (27840*x^39 + 86912*x^38 + 20928*x^37 - 168960*x^36 -146176*x^35 + 191344*x^34 + 374784*x^33 - 138560*x^32 - 870296*x^31 -605512*x^30 + 382672*x^29 + 875220*x^28 + 625350*x^27 - 64128*x^26 -409140*x^25 - 306276*x^24 - 253562*x^23 - 227252*x^22 - 154460*x^21 -40558*x^20 + 13666*x^19 + 39109*x^18 + 14633*x^17 + 47554*x^16 +41410*x^15 + 5415*x^14 + 1285*x^13 - 7252*x^12 - 449*x^11 - 387*x^10 -3242*x^9 - 756*x^8 + 17*x^7 + 333*x^6 + 305*x^5 - 45*x^4 + 19*x^3 -10*x^2 - 14*x + 4)/(1152*x^40 + 3072*x^39 - 1664*x^38 + 24384*x^36 +9952*x^35 - 36448*x^34 - 42432*x^33 - 13984*x^32 + 82976*x^31 +127432*x^30 + 34352*x^29 - 35976*x^28 - 56928*x^27 + 10920*x^26 +49122*x^25 - 7890*x^24 - 38176*x^23 - 21214*x^22 + 18944*x^21 +22582*x^20 + 17342*x^19 + 20951*x^18 + 33796*x^17 + 25490*x^16 +6350*x^15 + 2790*x^14 + 3911*x^13 + 3703*x^12 + 2*x^11 - 2148*x^10 -958*x^9 - 255*x^8 - 86*x^7 + 9*x^6 - 53*x^5 + 33*x^4 + 5*x^3 + x^2 + 5*x- 1))/(10368*x^42 + 20736*x^41 - 33408*x^40 + 37824*x^39 + 306368*x^38 -35808*x^37 - 556704*x^36 - 309376*x^35 + 320080*x^34 + 1205472*x^33 +510472*x^32 - 1325720*x^31 - 1135408*x^30 + 86176*x^29 + 1315068*x^28 +1001928*x^27 - 429870*x^26 - 705384*x^25 - 268146*x^24 + 44218*x^23 -137678*x^22 - 133874*x^21 + 43949*x^20 + 192124*x^19 + 65743*x^18 -81157*x^17 + 34564*x^16 + 59869*x^15 + 15276*x^14 - 20915*x^13 -26596*x^12 + 3817*x^11 + 3066*x^10 - 2486*x^9 - 159*x^8 - 514*x^7 +948*x^6 + 152*x^5 - 66*x^4 + 58*x^3 - 49*x^2 - 8*x + 4)
- (4*x^30 + 28*x^29 + 97*x^28 + 192*x^27 + 156*x^26 - 160*x^25 - 610*x^24- 748*x^23 - 530*x^22 - 720*x^21 - 461*x^20 + 1516*x^19 + 3354*x^18 +2422*x^17 - 111*x^16 - 986*x^15 - 684*x^14 - 2162*x^13 - 3837*x^12 -1652*x^11 + 2692*x^10 + 3820*x^9 + 1024*x^8 - 1474*x^7 - 1249*x^6 -34*x^5 + 311*x^4 + 84*x^3 - 21*x^2 - 6*x + 1)*(4*x^23 + 60*x^22 +203*x^21 + 308*x^20 - 35*x^19 - 660*x^18 - 964*x^17 - 612*x^16 +239*x^15 + 344*x^14 + 683*x^13 + 686*x^12 + 1156*x^11 + 1944*x^10 -341*x^9 - 2280*x^8 - 1775*x^7 + 588*x^6 + 1550*x^5 + 70*x^4 - 498*x^3 -48*x^2 + 60*x + 6)*x/((4*x^24 + 60*x^23 + 203*x^22 + 308*x^21 - 35*x^20- 660*x^19 - 964*x^18 - 612*x^17 + 239*x^16 + 344*x^15 + 683*x^14 +686*x^13 + 1156*x^12 + 1944*x^11 - 341*x^10 - 2280*x^9 - 1775*x^8 +588*x^7 + 1550*x^6 + 70*x^5 - 498*x^4 - 48*x^3 + 60*x^2 + 6*x)*(2*x^15 +7*x^14 + 12*x^13 + 6*x^12 - 18*x^11 - 13*x^10 - 8*x^9 - 27*x^8 - 32*x^7+ x^6 + 40*x^5 + 34*x^4 - 3*x^3 - 15*x^2 - 3*x + 1)^2)
- (36*x^43 + 492*x^42 + 97*x^41 - 1280*x^40 + 1374*x^39 + 3986*x^38 -3294*x^37 - 12844*x^36 - 17178*x^35 - 5612*x^34 - 8231*x^33 - 68874*x^32- 38198*x^31 + 87106*x^30 + 79120*x^29 + 342382*x^28 + 1028045*x^27 +1129834*x^26 + 797531*x^25 + 933000*x^24 + 781401*x^23 - 15364*x^22 -688028*x^21 - 1167490*x^20 - 1199056*x^19 - 495108*x^18 + 175219*x^17 +637592*x^16 + 810642*x^15 + 590608*x^14 + 255600*x^13 - 62792*x^12 -226422*x^11 - 130944*x^10 - 26229*x^9 + 21996*x^8 + 25573*x^7 + 5782*x^6- 3711*x^5 - 1682*x^4 + 174*x^3 + 138*x^2 + 7*x)/(36*x^50 + 132*x^49 +13*x^48 - 318*x^47 + 329*x^46 + 1182*x^45 - 1178*x^44 - 5908*x^43 -8477*x^42 - 2792*x^41 + 3722*x^40 - 25634*x^39 - 48482*x^38 + 39322*x^37+ 156735*x^36 + 187848*x^35 + 219675*x^34 + 304434*x^33 + 585596*x^32 +728972*x^31 + 107232*x^30 - 385246*x^29 - 207810*x^28 - 1063698*x^27 -1907663*x^26 - 1201382*x^25 - 1014910*x^24 - 1209268*x^23 + 319551*x^22+ 1530638*x^21 + 1823707*x^20 + 1995574*x^19 + 1246562*x^18 - 81878*x^17- 720123*x^16 - 983524*x^15 - 713261*x^14 - 142344*x^13 + 212072*x^12 +248440*x^11 + 124279*x^10 + 4286*x^9 - 39189*x^8 - 24030*x^7 - 2827*x^6+ 2970*x^5 + 1353*x^4 + 96*x^3 - 53*x^2 - 6*x + 1)
- (36*x^50 + 132*x^49 + 13*x^48 - 318*x^47 + 329*x^46 + 1182*x^45 -1178*x^44 - 5908*x^43 - 8477*x^42 - 2792*x^41 + 3722*x^40 - 25634*x^39 -48482*x^38 + 39322*x^37 + 156735*x^36 + 187848*x^35 + 219675*x^34 +304434*x^33 + 585596*x^32 + 728972*x^31 + 107232*x^30 - 385246*x^29 -207810*x^28 - 1063698*x^27 - 1907663*x^26 - 1201382*x^25 - 1014910*x^24- 1209268*x^23 + 319551*x^22 + 1530638*x^21 + 1823707*x^20 +1995574*x^19 + 1246562*x^18 - 81878*x^17 - 720123*x^16 - 983524*x^15 -713261*x^14 - 142344*x^13 + 212072*x^12 + 248440*x^11 + 124279*x^10 +4286*x^9 - 39189*x^8 - 24030*x^7 - 2827*x^6 + 2970*x^5 + 1353*x^4 +96*x^3 - 53*x^2 - 6*x + 1)*(36*x^42 + 492*x^41 + 97*x^40 - 1280*x^39 +1374*x^38 + 3986*x^37 - 3294*x^36 - 12844*x^35 - 17178*x^34 - 5612*x^33- 8231*x^32 - 68874*x^31 - 38198*x^30 + 87106*x^29 + 79120*x^28 +342382*x^27 + 1028045*x^26 + 1129834*x^25 + 797531*x^24 + 933000*x^23 +781401*x^22 - 15364*x^21 - 688028*x^20 - 1167490*x^19 - 1199056*x^18 -495108*x^17 + 175219*x^16 + 637592*x^15 + 810642*x^14 + 590608*x^13 +255600*x^12 - 62792*x^11 - 226422*x^10 - 130944*x^9 - 26229*x^8 +21996*x^7 + 25573*x^6 + 5782*x^5 - 3711*x^4 - 1682*x^3 + 174*x^2 + 138*x+ 7)*x/((36*x^43 + 492*x^42 + 97*x^41 - 1280*x^40 + 1374*x^39 +3986*x^38 - 3294*x^37 - 12844*x^36 - 17178*x^35 - 5612*x^34 - 8231*x^33- 68874*x^32 - 38198*x^31 + 87106*x^30 + 79120*x^29 + 342382*x^28 +1028045*x^27 + 1129834*x^26 + 797531*x^25 + 933000*x^24 + 781401*x^23 -15364*x^22 - 688028*x^21 - 1167490*x^20 - 1199056*x^19 - 495108*x^18 +175219*x^17 + 637592*x^16 + 810642*x^15 + 590608*x^14 + 255600*x^13 -62792*x^12 - 226422*x^11 - 130944*x^10 - 26229*x^9 + 21996*x^8 +25573*x^7 + 5782*x^6 - 3711*x^5 - 1682*x^4 + 174*x^3 + 138*x^2 +7*x)*(6*x^25 + 11*x^24 - 9*x^23 - 10*x^22 + 39*x^21 + 12*x^20 - 70*x^19- 281*x^18 - 403*x^17 - 110*x^16 - 118*x^15 - 790*x^14 - 179*x^13 +466*x^12 + 327*x^11 + 669*x^10 + 1028*x^9 + 231*x^8 - 45*x^7 - 284*x^6 -273*x^5 - 61*x^4 + 45*x^3 + 31*x^2 + 3*x - 1)^2)
- (239*x^28 - 33157*x^27 + 1818498*x^26 - 54198917*x^25 + 1004282914*x^24- 12458825709.0*x^23 + 108424368962.0*x^22 - 683503915153.0*x^21 +3194422598067.0*x^20 - 11259345843608.0*x^19 + 30308779015615.0*x^18 -62874205910076.0*x^17 + 101127542456783.0*x^16 - 126568817064424.0*x^15+ 123440474579985.0*x^14 - 93750343061691.0*x^13 + 55291405473782.0*x^12- 25192378831195.0*x^11 + 8797357131438.0*x^10 - 2327864968019.0*x^9 +459438362278.0*x^8 - 66182756655.0*x^7 + 6751799885.0*x^6 -466963360*x^5 + 20440353*x^4 - 499700*x^3 + 5041*x^2)/(x^27 - 139*x^26 +7645*x^25 - 228703*x^24 + 4257709*x^23 - 53125939*x^22 + 465580753*x^21- 2959647631.0*x^20 + 13969661101.0*x^19 - 49813752019.0*x^18 +135924582049.0*x^17 - 286465479331.0*x^16 + 469321074709.0*x^15 -600131890207.0*x^14 + 600131890207.0*x^13 - 469321074709.0*x^12 +286465479331.0*x^11 - 135924582049.0*x^10 + 49813752019.0*x^9 -13969661101.0*x^8 + 2959647631.0*x^7 - 465580753*x^6 + 53125939*x^5 -4257709*x^4 + 228703*x^3 - 7645*x^2 + 139*x - 1)
- -1
- -1
- -(x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)*(x^6 + x^3 + 1)*(x^4 + x^3 + x^2+ x + 1)*(x^4 - x^3 + x^2 - x + 1)*(x^4 + 1)*(x^2 + x + 1)*(x^2 - x +1)*(x^2 + 1)*(x + 1)/(x^31 + 2*x^30 + 5*x^29 + 9*x^28 + 16*x^27 +25*x^26 + 38*x^25 + 53*x^24 + 72*x^23 + 92*x^22 + 114*x^21 + 135*x^20 +155*x^19 + 171*x^18 + 183*x^17 + 189*x^16 + 189*x^15 + 183*x^14 +171*x^13 + 155*x^12 + 135*x^11 + 114*x^10 + 92*x^9 + 72*x^8 + 53*x^7 +38*x^6 + 25*x^5 + 16*x^4 + 9*x^3 + 5*x^2 + 2*x + 1)
- -(x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)*(x^6 +x^5 + x^4 + x^3 + x^2 + x + 1)*(x^6 + x^3 + 1)*(x^4 + x^3 + x^2 + x +1)*(x^4 - x^3 + x^2 - x + 1)*(x^4 + 1)*(x^2 + x + 1)*(x^2 - x + 1)*(x^2+ 1)*(x + 1)/(x^41 + 3*x^40 + 8*x^39 + 17*x^38 + 33*x^37 + 58*x^36 +96*x^35 + 149*x^34 + 221*x^33 + 313*x^32 + 427*x^31 + 561*x^30 +714*x^29 + 880*x^28 + 1054*x^27 + 1227*x^26 + 1391*x^25 + 1536*x^24 +1654*x^23 + 1737*x^22 + 1780*x^21 + 1780*x^20 + 1737*x^19 + 1654*x^18 +1536*x^17 + 1391*x^16 + 1227*x^15 + 1054*x^14 + 880*x^13 + 714*x^12 +561*x^11 + 427*x^10 + 313*x^9 + 221*x^8 + 149*x^7 + 96*x^6 + 58*x^5 +33*x^4 + 17*x^3 + 8*x^2 + 3*x + 1)
- 12*(24*x^41 - 44*x^40 - 240*x^39 + 348*x^38 + 668*x^37 - 435*x^36 -389*x^35 - 654*x^34 - 596*x^33 + 897*x^32 - 2006*x^31 - 6617*x^30 +8580*x^29 + 19797*x^28 + 3827*x^27 - 20783*x^26 - 24109*x^25 - 6038*x^24- 36793*x^23 + 92612*x^22 + 108164*x^21 - 102427*x^20 - 132493*x^19 -59759*x^18 + 192380*x^17 + 196541*x^16 - 189378*x^15 - 348922*x^14 +333985*x^13 + 253615*x^12 - 452931*x^11 + 113806*x^10 + 173037*x^9 -159497*x^8 + 40197*x^7 + 19069*x^6 - 19907*x^5 + 8190*x^4 - 1994*x^3 +300*x^2 - 26*x + 1)*(4*x^31 - 29*x^30 + 4*x^29 + 137*x^28 - 47*x^27 -414*x^26 + 1491*x^25 + 338*x^24 - 6524*x^23 + 1928*x^22 + 7881*x^21 -4257*x^20 + 7086*x^19 - 2814*x^18 - 28437*x^17 + 30193*x^16 + 18744*x^15- 47298*x^14 + 17738*x^13 + 13339*x^12 - 14197*x^11 + 18725*x^10 -17810*x^9 - 13496*x^8 + 35794*x^7 - 19124*x^6 - 6133*x^5 + 12494*x^4 -6834*x^3 + 1932*x^2 - 288*x + 18)*x^10/((4*x^41 - 29*x^40 + 4*x^39 +137*x^38 - 47*x^37 - 414*x^36 + 1491*x^35 + 338*x^34 - 6524*x^33 +1928*x^32 + 7881*x^31 - 4257*x^30 + 7086*x^29 - 2814*x^28 - 28437*x^27 +30193*x^26 + 18744*x^25 - 47298*x^24 + 17738*x^23 + 13339*x^22 -14197*x^21 + 18725*x^20 - 17810*x^19 - 13496*x^18 + 35794*x^17 -19124*x^16 - 6133*x^15 + 12494*x^14 - 6834*x^13 + 1932*x^12 - 288*x^11 +18*x^10)*(x^3 + 2*x^2 + x - 1)*(x^3 + x^2 + x - 1)*(x^3 + x^2 - 1)*(x^3- x^2 + 2*x - 1)*(x^3 - x^2 - 2*x + 1)*(x^3 - 2*x^2 + 3*x - 1)*(x^3 -2*x^2 - x + 1)*(x^3 + 2*x - 1)*(x^3 + x - 1)*(2*x^2 + 2*x - 1)*(2*x^2 -1)*(x^2 + 2*x - 1)*(x^2 + x - 1)*(x^2 - 3*x + 1)*(3*x - 1)*(2*x - 1)*(x+ 1)*(x - 1))
- -2*(2304*x^26 + 564*x^25 - 2604*x^24 - 3644*x^23 - 6844*x^22 + 7433*x^21+ 6460*x^20 + 1603*x^19 - 2826*x^18 - 6952*x^17 + 2294*x^16 - 24*x^15 +7852*x^14 - 8176*x^13 - 784*x^12 - 2238*x^11 + 1024*x^10 - 911*x^9 -394*x^8 - 983*x^7 - 1924*x^6 + 687*x^5 - 24*x^4 + 476*x^3 + 420*x^2 +60*x + 84)*x/(2304*x^27 + 564*x^26 - 2604*x^25 - 3644*x^24 - 6844*x^23 +7433*x^22 + 6460*x^21 + 1603*x^20 - 2826*x^19 - 6952*x^18 + 2294*x^17 -24*x^16 + 7852*x^15 - 8176*x^14 - 784*x^13 - 2238*x^12 + 1024*x^11 -911*x^10 - 394*x^9 - 983*x^8 - 1924*x^7 + 687*x^6 - 24*x^5 + 476*x^4 +420*x^3 + 60*x^2 + 84*x)
- -2.0*(578.0*x^52 - 8091.0*x^51 - 83696.0*x^50 + 1438440.0*x^49 +3355392.0*x^48 - 94666796.0*x^47 - 3162664.0*x^46 + 3212411488.0*x^45 -3215530756.0*x^44 - 63992712074.0*x^43 + 101192826896.0*x^42 +799287715544.0*x^41 - 1572040067936.0*x^40 - 6497628908516.0*x^39 +14772327002472.0*x^38 + 35100066280832.0*x^37 - 90391126093930.0*x^36 -126783009087417.0*x^35 + 373692292484128.0*x^34 + 302352881352848.0*x^33- 1064902306141570.0*x^32 - 452714140134072.0*x^31 +2113468417316080.0*x^30 + 353114911609152.0*x^29 -2933939639544920.0*x^28 + 31463729114724.0*x^27 +2851262465341600.0*x^26 - 386856893695952.0*x^25 -1937370697752900.0*x^24 + 437177534552376.0*x^23 +917127529551440.0*x^22 - 268804327853184.0*x^21 - 300153880511538.0*x^20+ 104242913448099.0*x^19 + 66909591407824.0*x^18 - 26519860399096.0*x^17- 9889298009728.0*x^16 + 4448623050276.0*x^15 + 922702092728.0*x^14 -484852497568.0*x^13 - 49093408612.0*x^12 + 33231636934.0*x^11 +1073870160.0*x^10 - 1354335880.0*x^9 + 15949216.0*x^8 + 29622124.0*x^7 -1111096.0*x^6 - 278528.0*x^5 + 12570.0*x^4 + 529.0*x^3)/(x^50 - 14*x^49- 145*x^48 + 2492*x^47 + 5832*x^46 - 164332*x^45 - 6360*x^44 +5592188*x^43 - 5575094*x^42 - 111829704*x^41 + 176471286*x^40 +1404071060*x^39 - 2757391176*x^38 - 11493707876*x^37 + 26094214040*x^36+ 62666476628*x^35 - 161092194209*x^34 - 229194775110*x^33 +673504262865*x^32 + 556186915928*x^31 - 1946775340976*x^30 -855365272888*x^29 + 3933950269712*x^28 + 705783359960*x^27 -5586898052980*x^26 + 5586898052980*x^24 - 705783359960*x^23 -3933950269712*x^22 + 855365272888*x^21 + 1946775340976*x^20 -556186915928*x^19 - 673504262865*x^18 + 229194775110*x^17 +161092194209*x^16 - 62666476628*x^15 - 26094214040*x^14 +11493707876*x^13 + 2757391176*x^12 - 1404071060*x^11 - 176471286*x^10 +111829704*x^9 + 5575094*x^8 - 5592188*x^7 + 6360*x^6 + 164332*x^5 -5832*x^4 - 2492*x^3 + 145*x^2 + 14*x - 1)
- (578*x^52 - 8091*x^51 - 83696*x^50 + 1438440*x^49 + 3355392*x^48 -94666796*x^47 - 3162664*x^46 + 3212411488.0*x^45 - 3215530756.0*x^44 -63992712074.0*x^43 + 101192826896.0*x^42 + 799287715544.0*x^41 -1572040067936.0*x^40 - 6497628908516.0*x^39 + 14772327002472.0*x^38 +35100066280832.0*x^37 - 90391126093930.0*x^36 - 126783009087417.0*x^35 +373692292484128.0*x^34 + 302352881352848.0*x^33 -1064902306141570.0*x^32 - 452714140134072.0*x^31 +2113468417316080.0*x^30 + 353114911609152.0*x^29 -2933939639544920.0*x^28 + 31463729114724.0*x^27 +2851262465341600.0*x^26 - 386856893695952.0*x^25 -1937370697752900.0*x^24 + 437177534552376.0*x^23 +917127529551440.0*x^22 - 268804327853184.0*x^21 - 300153880511538.0*x^20+ 104242913448099.0*x^19 + 66909591407824.0*x^18 - 26519860399096.0*x^17- 9889298009728.0*x^16 + 4448623050276.0*x^15 + 922702092728.0*x^14 -484852497568.0*x^13 - 49093408612.0*x^12 + 33231636934.0*x^11 +1073870160*x^10 - 1354335880*x^9 + 15949216*x^8 + 29622124*x^7 -1111096*x^6 - 278528*x^5 + 12570*x^4 + 529*x^3)/(x^50 - 14*x^49 -145*x^48 + 2492*x^47 + 5832*x^46 - 164332*x^45 - 6360*x^44 +5592188*x^43 - 5575094*x^42 - 111829704*x^41 + 176471286*x^40 +1404071060*x^39 - 2757391176.0*x^38 - 11493707876.0*x^37 +26094214040.0*x^36 + 62666476628.0*x^35 - 161092194209.0*x^34 -229194775110.0*x^33 + 673504262865.0*x^32 + 556186915928.0*x^31 -1946775340976.0*x^30 - 855365272888.0*
\ No newline at end of file
diff --git a/project/build.properties b/project/build.properties
index d638b4f..cb97204 100644
--- a/project/build.properties
+++ b/project/build.properties
@@ -1 +1 @@
-sbt.version = 0.13.8
\ No newline at end of file
+sbt.version = 1.4.6
\ No newline at end of file
diff --git a/relations-3 b/relations-3
new file mode 100644
index 0000000..db604eb
--- /dev/null
+++ b/relations-3
@@ -0,0 +1,10223 @@
+A339623 = ((7*differential((A000027+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A000027+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = ((3*A000032)+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A338192 = ((1*A000045)+(-(x^2/((x^3+x^2+x)-1))))
+A339760 = ((2*(A000051+(-(-(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000051+(-(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A338192 = ((1*(A000071+(-((1/(x-1))+1))))+(-(x^2/((x^3+x^2+x)-1))))
+A339760 = (((-1)*(A000071+(-((-(x/((x^2+x)-1)))+(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A000071+(-((-(x/((x^2+x)-1)))+(1/(x-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A291039 = ((1*A000071)+(x/((x^3+(2*x))-1)^2))
+A291039 = ((x^(-2)*A000071)+(x/((x^3+(2*x))-1)^2))
+A338192 = ((1*A000073)+(-(x/((x^2+x)-1))))
+A338192 = ((1*A000073)+(-(x/((x^2+x)-1))))
+A298371 = (((-(1/x^3))*A000078)+(-(((x^2+x)-1)/((x^4+x^3+x^2+x)-1)^2)))
+A298371 = (((-(1/x^3))*A000078)+(-(((x^2+x)-1)/((x^4+x^3+x^2+x)-1)^2)))
+A339760 = ((2*A000079)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential(A000079))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A338192 = ((x^2*(A000100+(-(1/((x^2+x)-1)))))+(-(x/((x^2+x)-1))))
+A338192 = (((-x)*(A000100+(-(-(1/((x^3+x^2+x)-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = ((1*differential((A000100+(-(-(1/((x^3+x^2+x)-1)))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A298371 = (((-1)*(A000102+(-(1/((x^3+x^2+x)-1)))))+(-(((x^2+x)-1)/((x^4+x^3+x^2+x)-1)^2)))
+A338192 = (((-x^2)*(A000102+(-(-(1/((x^4+x^3+x^2+x)-1))))))+(-(x/((x^2+x)-1))))
+A339623 = (((-7)*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/2)*differential((A000125+(-((2/(x-1)^3)+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*(A000125+(-((2/(x-1)^2)+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A000125+(-((2/(x-1)^2)+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A000125+(-((2/(x-1)^2)+(2/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000125+(-((2/(x-1)^2)+(2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A308747 = ((1*(A000126+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+(((5*x)+3)/(x^2-x-1))+(-(2/(x-1)))+(-(2/(x-1)^2)))
+A339623 = (((-7)*differential((A000126+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(1/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2))*differential((A000127+(-((-(1/(x-1)))+(-(4/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-36)*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A316937 = (((-2)*(A000128+(-((3/(x-1))+(1/(x-1)^3)))))+(-(13/((2*x)-1))))
+A339623 = (((-14)*(A000128+(-((-(((3*x)+5)/((x^2+x)-1)))+(3/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A000128+(-((-(((3*x)+5)/((x^2+x)-1)))+(3/(x-1)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A309717 = ((1*A000129)+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A309717 = ((1*A000129)+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A309717 = ((1*A000129)+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A339760 = (((-1)*A000178)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate(A000178))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A000207+(-((-(((1/4)*(sqrt(((-(4*x^2))+1))-2))/x))+(-(((1/24)*((((-(4*x))+1)^1.5-(4*sqrt(((-(4*x^3))+1)))-(9*sqrt(((-(4*x^2))+1))))+12))/x^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000207+(-((-(((1/4)*(sqrt(((-(4*x^2))+1))-2))/x))+(-(((1/24)*((((-(4*x))+1)^1.5-(4*sqrt(((-(4*x^3))+1)))-(9*sqrt(((-(4*x^2))+1))))+12))/x^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339610 = ((3*(A000211+(-(-(2/(x-1))))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A339623 = (((-7)*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(2/3/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((54*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(2/3/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((54*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*differential((A000217+(-(-(1/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000217+(-(-(1/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000217+(-(-(1/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*differential((A000217+(-(-(1/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000217+(-(-(1/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000217+(-(-(1/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((2*(A000225+(-(1/(x-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000225+(-(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((1*(A000247+(-((-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-(1/(x-1)^2))+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000247+(-((-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-(1/(x-1)^2))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-2)*(A000247+(-(x+(-(1/(x-1)))+(-(1/(x-1)^2))+1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A000247+(-(x+(-(1/(x-1)))+(-(1/(x-1)^2))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A018918 = (((-1)*(A000253+(-(-(4/((2*x)-1))))))+(1/(x-1)))
+A339760 = ((0.5*(A000253+(-((((2*x^2)-x)+4)/(((x^3-x^2)+(2*x))-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/8))*differential((A000253+(-((((2*x^2)-x)+4)/(((x^3-x^2)+(2*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A295856 = ((1*A000285)+(((4*x)+1)/((2*x^2)-1)))
+A339623 = (((-1)*(A000287+(-((-(-(2*x)))+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A000287+(-((-(-(2*x)))+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A000287+(-((-x^2)+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A000287+(-((-x^2)+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A000287+(-((-x^2)+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((1*(A000287+(-((-x^2)+(-(-(2*x)))+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000287+(-((-x^2)+(-(-(2*x)))+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/3))*differential((A000290+(-((-(1/(x-1)))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A000290+(-((-(1/(x-1)))+(-(3/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A000290+(-((-(1/(x-1)))+(-(3/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*(A000292+(-(1/(x-1)^4))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A000292+(-(1/(x-1)^4)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A000292+(-(1/(x-1)^3))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000292+(-(1/(x-1)^3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-14)*(A000292+(-(1/(x-1)^4))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A000292+(-(1/(x-1)^4)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A000292+(-(1/(x-1)^3))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000292+(-(1/(x-1)^3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((2*(A000295+(-(-(1/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000295+(-(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A000295+(-(-(1/((2*x)-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A000297+(-((-(2/(x-1)^3))+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A000297+(-((1/(x-1)^2)+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A000297+(-((1/(x-1)^2)+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A000297+(-((1/(x-1)^2)+(-(2/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000297+(-((1/(x-1)^2)+(-(2/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((2*(A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((2*(A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/5))*differential((A000326+(-((-(2/(x-1)))+(-(3/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/3)*(A000326+(-((-(2/(x-1)))+(-(5/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((12*differential((A000326+(-((-(2/(x-1)))+(-(5/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*differential((A000330+(-((3/(x-1)^3)+(2/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/3))*(A000330+(-((1/(x-1)^2)+(2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A000330+(-((1/(x-1)^2)+(2/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((54*(A000330+(-((1/(x-1)^2)+(3/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*differential((A000330+(-((1/(x-1)^2)+(3/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/4))*differential((A000332+(-((-(1/(x-1)))+(-(6/(x-1)^3))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-27)*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-2357)*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(4/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(4/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*(A000337+(-((-(1/(x-1)))+(1/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/4)*differential((A000337+(-((-(1/(x-1)))+(1/((2*x)-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A000337+(-((2/((2*x)-1))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((1*differential((A000337+(-((2/((2*x)-1))+(-(1/(x-1))))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-14)*differential((A000340+(-((-(9/4/((3*x)-1)))+(-(3/4/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A000352+(-((-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A000352+(-((-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((2*(A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-14)*differential((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = ((1*(A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-14)*differential((A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-1)*differential((A000384+(-((-(3/(x-1)))+(-(4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A000384+(-((-(3/(x-1)))+(-(7/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A000384+(-((-(3/(x-1)))+(-(7/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/5)*differential((A000389+(-((1/(x-1))+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/5))*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/5))*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((54/5)*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(5/(x-1)^5)+(1/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((4714/5)*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(5/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/5))*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(1/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/25)*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-71322)*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((12512*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*differential((A000392+(-((-(1/6/((3*x)-1)))+(-(1/2/(x-1)))+(-(1/6)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A330170 = ((1*A000400)+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A338153 = (((-1)*A000420)+(-(14*x^2))+(-(2/((4*x)-1)))+(-(2/((2*x)-1)))+(-(5/(x-1)))+(-2))
+A339623 = (((7/2)*differential((A000439+(-((-(-(3/(x-1)^3)))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/3))*(A000439+(-((2/(x-1)^2)+(-(3/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A000439+(-((2/(x-1)^2)+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-36)*(A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(3/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/9)*differential((A000447+(-((1/(x-1))+(16/(x-1)^3)+(8/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/8))*(A000447+(-((1/(x-1))+(9/(x-1)^2)+(8/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/4))*differential((A000447+(-((1/(x-1))+(9/(x-1)^2)+(8/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/2)*(A000447+(-((1/(x-1))+(9/(x-1)^2)+(16/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/2)*differential((A000447+(-((1/(x-1))+(9/(x-1)^2)+(16/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A000460+(-((-(1/((3*x)-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = (((-1)*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-7)*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337120 = ((4*(A000478+(-((-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A000478+(-((-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((1*(A000478+(-((-x^3)+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A000478+(-((-x^3)+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337631 = (((-4)*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-7)*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/6)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A000486+(-((-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(1/(x-1)^2)+(19/8)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000486+(-((-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(1/(x-1)^2)+(19/8))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A337631 = (((-4)*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(1/(x-1)^2)+(19/8))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = ((7*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(19/8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = (((-1)*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-7)*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337631 = ((4*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = ((7*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(1/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-108)*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A000533+(-((-(1/((10*x)-1)))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000533+(-((-(1/((10*x)-1)))+(-(1/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-7)*differential((A000537+(-((-(7/(x-1)^3))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((2*(A000537+(-((-(1/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/7)*differential((A000537+(-((-(1/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-9)*(A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2))*integrate((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/3))*differential((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*(A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(12/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(12/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-7)*differential((A000539+(-((-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/31)*(A000539+(-((-(1/(x-1)^2))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/31)*differential((A000539+(-((-(1/(x-1)^2))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(3/5))*(A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/30))*integrate((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/45))*differential((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/195)*(A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(360/(x-1)^6))+(-(120/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/325))*differential((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/60)*(A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(120/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/9))*integrate((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/45))*differential((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((3128/5)*(A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/10))*integrate((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/28))*differential((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = ((7*differential((A000540+(-((63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(2/9))*(A000540+(-((1/(x-1)^2)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(4/7))*differential((A000540+(-((1/(x-1)^2)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((54/301)*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((4714/301)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(9428/525))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(36/175))*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/1750)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/560))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/42)*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/105)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(3128/105))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/70)*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((459/196)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/8))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((103/64)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-7)*differential((A000541+(-((-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/127)*(A000541+(-((-(1/(x-1)^2))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/127)*differential((A000541+(-((-(1/(x-1)^2))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/161))*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/46))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/483))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/5103)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/8505))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/4200)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/315))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(782/1575))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/665)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/2660))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/7448))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((459/224)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/15))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/1792))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((103/56)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(459/7))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(39325/6))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((-(7/22))*differential((A000543+(-((-(1/(x-1)))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/144)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/8)*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/1985))*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/1985))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/871)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((54/871)*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/17420))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/2205)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/1323))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/6615))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/1155)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/385))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/1078))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((153/28)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(3128/45))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/672))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((309/56)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(1377/7))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(39325/2))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((-(7/95))*differential((A000545+(-((-(1/(x-1)))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4454)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2227)*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(54/126911))*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(4714/126911))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/1502129)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/7510645))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/3107209)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(368/548331))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/5715439)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5715439))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6885/80016146))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((85/328328)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/474903))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(515/70918848))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((515/13421408)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(2295/1677676))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((5/4)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337962 = (((-(309/880880))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((5/4)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(1375/68))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(15/374))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((5/4)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(7983360/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((-(935/24))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(7983360/(x-1)^13)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(5/312))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(7983360/(x-1)^13)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A337406 = (((5/4)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A337406 = (((-(195/2))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A323972 = (((-(31/1572480))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A335365 = ((0.2857142857142857*(A000549+(-((-((1/2)*x^11))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((0.07142857142857142*differential((A000549+(-((-((1/2)*x^11))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((1*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((0.1555555555555556*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((0.2380952380952381*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((1.428571428571429*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A338024 = (((-0.04081632653061224)*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.3333333333333333)*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.05555555555555555*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.375*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.125)*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-0.6666666666666666)*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.05555555555555555*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A324632 = ((1*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1))))
+A339760 = (((-0.125)*integrate((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.25)*(A000561+(-((-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)+(27/(x-1)^4)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A000561+(-((-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)+(27/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.09090909090909091)*(A000561+(-((-(4*x^2))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)+(27/(x-1)^4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335411 = (((-1)*differential((A000561+(-((-(4*x^2))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)+(27/(x-1)^4))))))+(-(((12/5)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1)))+(-(((12/5)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))+(-(28/5/(x+1)))+(-(73/5/(x-1)))+(-(3/(x+1)^2))+(-(15/(x-1)^2))+(-(6/(x-1)^3)))
+A339623 = (((7/128)*differential((A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(99/(x-1)^3)+(27/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/99))*(A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(27/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(4/11))*differential((A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(27/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((4*(A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/9)*integrate((A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/27)*differential((A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338024 = ((1.5*(A000562+(-((-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A000562+(-((-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.6666666666666666*(A000562+(-((2*x^4)+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.05555555555555555)*differential((A000562+(-((2*x^4)+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.04)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.02)*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.02)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.04)*integrate((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A268251 = ((1*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(2*x))+(-(-(((1/4)*((485*x)+49))/(x^2+(10*x)+1))))+(-(-(((3/4)*((485*x)-49))/((x^2-(10*x))+1))))+(-(1/4/(x+1)))+(-(3/4/(x-1))))
+A339623 = (((-(7/767))*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/402)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/67)*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(4/15))*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/135))*integrate((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/405))*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/81)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/135))*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338024 = (((-0.375)*(A000563+(-((-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.125*differential((A000563+(-((-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.09523809523809523*(A000563+(-((-(8*x^4))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.007936507936507936)*differential((A000563+(-((-(8*x^4))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.007042253521126761)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.00352112676056338)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.003937007874015748)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.007874015748031496)*integrate((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A145715 = ((1*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-((254*((2029*x)-1))/((x^2-(2030*x))+1))))
+A339623 = (((7/4631)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2937))*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(6/979))*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((1/38)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/684)*integrate((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/1026)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/1539))*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(243/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((23774/2565)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(243/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/81))*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((12512/243)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338024 = (((-1)*(A000564+(-((-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.1666666666666667*differential((A000564+(-((-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.2)*(A000564+(-((2*x^6)+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.06)*differential((A000564+(-((2*x^6)+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.046875)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.015625*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.01433691756272401*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.001194743130227001)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.001223990208078335)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((((-(6.11995104039168*E))-4)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((((-(7.24112961622013*E))-4)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(1/4047))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/40987)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/40987)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(4/1311))*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/11799))*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/35397))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((9428/4671)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((4/173)*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/15570))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((23774/1863)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(729/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(544/243))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/243)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(170/21))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A338024 = ((0.1666666666666667*(A000565+(-((-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.02777777777777778)*differential((A000565+(-((-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.02222222222222222)*(A000565+(-((-(12*x^6))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.1333333333333333*integrate((A000565+(-((-(12*x^6))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.006666666666666667)*differential((A000565+(-((-(12*x^6))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.006355932203389831)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.00211864406779661*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.002225932109070673*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((((-(1.85494342422556*E))-4)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((((-(2.07813798836243*E))-4)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = ((0.002493765586034913*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((((-(1.03906899418121*E))-4)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((((-(1.2721027859051*E))-4)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/175643)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/279857))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/279857))*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((12/31219)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/93657)*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/280971)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(9428/46467))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(4/1721))*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/154890)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/13176))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((782/4941)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(25024/6561))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(2187/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((170/567)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(170/9))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((515/972)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-(7/9))*differential((A000566+(-((-(4/(x-1)))+(-(5/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/5)*(A000566+(-((-(4/(x-1)))+(-(9/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A000566+(-((-(4/(x-1)))+(-(9/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/11))*differential((A000567+(-((-(5/(x-1)))+(-(6/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A000567+(-((-(5/(x-1)))+(-(11/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A000567+(-((-(5/(x-1)))+(-(11/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2))*differential((A000574+(-((-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^5)+(1/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/5)*(A000574+(-((-(2/(x-1)^2))+(-(3/(x-1)^4))+(1/(x-1)^5)+(1/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A000574+(-((-(2/(x-1)^2))+(-(3/(x-1)^4))+(1/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-36)*(A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(1/(x-1)^5)+(1/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(1/(x-1)^5)+(1/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(1/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-37712)*(A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/5)*differential((A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-71322)*(A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((12512*differential((A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18768*(A000575+(-((-(3/(x-1)^8))+(-(2/(x-1)^9))+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/14))*differential((A000575+(-((-(3/(x-1)^8))+(-(2/(x-1)^9))+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = ((13770*(A000575+(-((-(4/(x-1)^7))+(-(2/(x-1)^9))+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(1545/4))*differential((A000575+(-((-(4/(x-1)^7))+(-(2/(x-1)^9))+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = ((4635*(A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-16516500)*differential((A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(1/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-297297000)*(A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(-(2/(x-1)^9))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((18378360*differential((A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(-(2/(x-1)^9)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = ((1*differential((A000578+(-((1/(x-1))+(12/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A000578+(-((1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A000578+(-((1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/6))*differential((A000579+(-((-(1/(x-1)))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/15)*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((12/5)*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/5))*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/5))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/15)*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/25))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((11887*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/3))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((75072*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(41310/7))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = ((1*differential((A000580+(-((1/(x-1))+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(2/3))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(12/7))*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/35)*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/35)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/35))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/175)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/7))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(7/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((12512/21)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(7/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(75072/7))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((41310/49)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-41310)*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/4)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-(7/8))*differential((A000581+(-((-(1/(x-1)))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/2)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/7)*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/14))*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/14))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/35)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/175))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/28)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/7))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18768/7)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/98))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((20655/4)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(4635/32))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = ((9270*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-33033000)*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((7/9)*differential((A000582+(-((1/(x-1))+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/18))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-1)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((9/7)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((1/2)*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/21)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/63))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/105)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/21))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/63)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/7))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/7)*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6885/98)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(2295/2))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((515/16)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-1030)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((11011000/3)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(1/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-297297000)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((18378360*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((7/31)*differential((A000584+(-((1/(x-1))+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/90))*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/5))*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/65)*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/65)*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/195)*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/45))*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(6/5))*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/300)*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A279876 = ((10*(A000689+(-((-(5/(x-1)))+(-5)))))+(256*x^8)+(-(-(64*x^3)))+(-(-(16*x^2)))+(-(4*x))+(-(1/((2*x)+1)))+(-(1/((2*x)-1)))+(47/2/(x+1))+(25/2/(x-1)))
+A336867 = ((1*(A000689+(-((-(((3*x)-1)/(x^2+1)))+(-(5/(x-1)))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A000689+(-((-(((3*x)-1)/(x^2+1)))+(-(5/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A279876 = ((10*(A000689+(-((-(5/(x-1)))+(-5)))))+(256*x^8)+(-(-(64*x^3)))+(-(-(16*x^2)))+(-(4*x))+(-(1/((2*x)+1)))+(-(1/((2*x)-1)))+(47/2/(x+1))+(25/2/(x-1)))
+A336867 = ((1*(A000689+(-((-(((3*x)-1)/(x^2+1)))+(-(5/(x-1)))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A000689+(-((-(((3*x)-1)/(x^2+1)))+(-(5/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A000774+(-1)))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000774+(-1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*(A000774+(-x)))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A000774+(-x))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A308726 = ((0.3333333333333333*(A000777+(-((((1/2)*(sqrt(((-(4*x))+1))-1))/(x*sqrt(((-(4*x))+1))))+(1/(x-1))))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A338024 = (((-0.07317073170731707)*(A000804+(-((-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.02439024390243903*differential((A000804+(-((-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-0.1739130434782609)*(A000804+(-((-(41*x^4))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.01449275362318841*differential((A000804+(-((-(41*x^4))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.09090909090909091*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.04545454545454546*differential((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A324632 = (((-1)*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A324632 = (((-1)*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A338532 = ((1*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))))))+(-(((((1536*x^3)-(5857*x^2))+(1424*x))-15)/((((x^4-(95*x^3))+(384*x^2))-(95*x))+1))))
+A339760 = (((-0.06666666666666667)*integrate((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.02)*(A000855+(-((-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-(50/(x-1)))+(-75)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.04)*integrate((A000855+(-((-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-(50/(x-1)))+(-75))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A268251 = ((1*differential((A000855+(-((-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-(50/(x-1)))+(-75))))))+(-(2*x))+(-(-(((1/4)*((485*x)+49))/(x^2+(10*x)+1))))+(-(-(((3/4)*((485*x)-49))/((x^2-(10*x))+1))))+(-(1/4/(x+1)))+(-(3/4/(x-1))))
+A296786 = (((-0.5)*(A000855+(-((-(50*x))+(-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-(50/(x-1)))+(-75)))))+x^6+(-(-(-x^5)))+(-(-(-x^4)))+(-(-(-(2*x^3))))+(-(-(-(2*x^2))))+(-(-(3*x)))+(-(7/4/(x+1)))+(-(1/4/(x-1)))+(-(1/(x^2+1)^2))+(-(1/4/(x+1)^2))+(3/4/(x-1)^2))
+A339760 = (((-0.01333333333333333)*integrate((A000855+(-((-(50*x))+(-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-(50/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/30))*differential((A000910+(-((-(5/(x-1)))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/75)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((12/25)*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/25))*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/25))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/75)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/125))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/5)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/3))*integrate((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/15))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((75072/5)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(8262/7))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A319200 = ((1*(A000913+(-((-(((1/4)*(sqrt(((-(4*x))+1))-2))/x^2))+(-(((1/8)*(((2*sqrt(((-(4*x^4))+1)))-(3*sqrt(((-(4*x^2))+1))))+sqrt(((-(4*x))+1))))/x^3))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A147316 = (((-1)*differential((A000913+(-((-(((1/4)*(sqrt(((-(4*x))+1))-2))/x^2))+(-(((1/8)*(((2*sqrt(((-(4*x^4))+1)))-(3*sqrt(((-(4*x^2))+1))))+sqrt(((-(4*x))+1))))/x^3)))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A339623 = ((14*(A000914+(-((-(4/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000914+(-((-(4/(x-1)^4))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-27)*(A000914+(-((-(1/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-2357)*differential((A000914+(-((-(1/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A000914+(-((-(1/(x-1)^3))+(-(4/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A000914+(-((-(1/(x-1)^3))+(-(4/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A000915+(-((-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A000915+(-((-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/13)*(A000915+(-((-(1/(x-1)^5))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/13))*differential((A000915+(-((-(1/(x-1)^5))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37536/65)*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4131/91))*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((1377/7)*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/5))*integrate((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(309/56))*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((618/7)*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-314600)*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339760 = ((2*(A000918+(-(2/(x-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000918+(-(2/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((2*(A000918+(-(2/(x-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000918+(-(2/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((0.1666666666666667*(A000919+(-((-(4/((4*x)-1)))+(-(12/((3*x)-1)))+(4/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/24))*differential((A000919+(-((-(4/((4*x)-1)))+(-(12/((3*x)-1)))+(4/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A330170 = ((1*(A000920+(-((-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1))+1))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A339760 = ((0.1333333333333333*(A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(6/(x-1))+1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/30))*differential((A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(6/(x-1))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A216714 = (((-1)*A000931)+(-((1/2)*x^4))+(-((3/4)*x^3))+(-((1/8)*x^2))+(-((1/16)*x))+(-(1/32/((2*x)-1)))+(31/32))
+A339623 = (((-1)*(A000933+(-((-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A000933+(-((-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A000933+(-((-x^2)+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000933+(-((-x^2)+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*(A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*(A000933+(-((-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A000933+(-((-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A000933+(-((-x^2)+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000933+(-((-x^2)+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*(A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-7)*differential((A000957+(-((-(3/(x-1)))+(-2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = ((1*(A000957+(-((-(3/(x-1)))+(-(1/(x-1)^2))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A000957+(-((-(3/(x-1)))+(-(1/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.3333333333333333)*(A000970+(-((-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = ((1*differential((A000970+(-((-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339623 = (((-(7/57))*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(35661/8))*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-14))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A317252 = (((-1)*(A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))))))+(((1/7)*(x^5+(3*x^4)+(5*x^3)+(6*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(-(((3/10)*(x^3+(2*x^2)+(2*x)))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/10)*(x^3-(2*x^2)-(2*x)-4))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(((3/8)*(x^2+(2*x)+1))/(x^4+1)))))+(-(-(-(((1/108)*((35*x)-39))/(x^2+x+1)))))+(-(-(-(((1/32)*((33*x)-4))/(x^2+1)))))+(-(-(-(((11/36)*(x+1))/((x^2-x)+1)))))+(-(-(-(20801/23040/(x+1)))))+(-(-(13982533/483840/(x-1))))+(-(-(((1/8)*x)/(x^2+1)^2)))+(-(1/18/(x^2+x+1)^2))+(-(127/768/(x+1)^2))+(-(560555/24192/(x-1)^2))+(-(5/384/(x+1)^3))+(222953/20160/(x-1)^3)+(625/192/(x-1)^4)+(53/96/(x-1)^5)+(1/24/(x-1)^6))
+A339760 = (((-0.07142857142857142)*integrate((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338588 = ((108*(A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(16/3/(x-1)^5)+(16/3/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(16/3/(x-1)^5)+(16/3/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((2346*differential((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(1/(x-1)^4)+(16/3/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-0.25)*(A000972+(-((-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A000972+(-((-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.03333333333333333)*(A000972+(-((-(4*x^2))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.06666666666666667)*integrate((A000972+(-((-(4*x^2))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A335365 = (((-1)*differential((A000972+(-((-(4*x^2))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+(2*x^10)+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2))
+A339623 = (((-(7/715))*differential((A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/793)*(A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/793)*differential((A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(20655/32))*differential((A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-132))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A304511 = ((1*(A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))))))+(-(318/((2*x)-1)))+(-(186/(x-1))))
+A339760 = (((-0.007575757575757576)*integrate((A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A000973+(-((15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A000973+(-((15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.06666666666666667*(A000973+(-(x^3+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-0.8)*integrate((A000973+(-(x^3+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.03333333333333333*differential((A000973+(-(x^3+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.0101010101010101*(A000973+(-(x^3+(15*x^2)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A228537 = ((1*differential((A000973+(-(x^3+(15*x^2)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+((99*((39207*x)-1))/((x^2-(39206*x))+1)))
+A339623 = (((1/364)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/226))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/791))*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/688)*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/688)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/1649))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/8245)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/325))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/65)*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/325)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(9384/19))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(16/(x-1)^8)+429))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((20655/532)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/8))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+429))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/64)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A208642 = ((1*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)))))+(8*x^4)+(-(-(-(-(56*x^3)))))+(-(-(-(-(181*x^2)))))+(-(-(-(-(350*x)))))+(-(-(-(-(858/((2*x)-1))))))+(-(-(-(792/(x-1)))))+(-(-(-(330/(x-1)^2))))+(-(-(120/(x-1)^3)))+(-(-(36/(x-1)^4)))+(-(8/(x-1)^5))+(-(1/(x-1)^6)))
+A339760 = ((0.002331002331002331*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(14/3))*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/3))*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/3))*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/9))*differential((A001014+(-((-(1/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/43)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/301)*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/175))*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/50))*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/525))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/210)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/70)*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/2800))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/420)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/63))*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/315))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((7/127)*differential((A001015+(-((1/(x-1))+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/138))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(3/161))*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((2/189)*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((1/243)*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/5103)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/1575))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(3/175))*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/21000)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5320))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(20160/(x-1)^7)+(5040/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/399)*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((782/1995)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/105))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(5040/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/560)*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((459/1568)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((103/448)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-(7/255))*differential((A001016+(-((-(1/(x-1)))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3025)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/3025)*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(3/1295))*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/1110))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/11655))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/20853)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((6/2317)*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/139020))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/52920)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/3969))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(782/19845))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((782/3465)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/9240))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(153/8624))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((51/224)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/135))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/16128))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((103/448)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(459/56))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(39325/48))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((1/73)*differential((A001017+(-((1/(x-1))+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/9330))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(3/1555))*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/34105)*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/34105)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/102315)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/127575))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(2/4725))*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/850500)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/456540))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/68481)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/342405)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/22050))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/117600)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((153/109760)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(153/14000))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((782/5625)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((103/336000)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(103/20160))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((51/280)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((7865/432)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(39325/48))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337962 = (((103/448)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((2431/48)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A338154 = ((1*A001019)+(-(24*x^2))+(-((2*((7*x)-2))/(((9*x^2)-(7*x))+1)))+(-(5/(x-1)))+(-2))
+A333385 = ((2*A001026)+(-(1/((3*x)-1))))
+A334991 = ((3*A001027)+(-(1/((4*x)-1))))
+A339760 = (((-2)*(A001047+(-(-(1/((3*x)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A001047+(-(-(1/((3*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A001048+(-((-(1/(x-1)))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A001048+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001048+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335649 = ((1*A001075)+(-(((1/6)*((7*x)-1))/((x^2-(14*x))+1)))+(-(5/6/(x-1))))
+A324487 = ((2*A001077)+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((3*((3*x)-2))/((x^2-(3*x))+1))))+(-(-((9*(x+2))/(x^2-x-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A087799 = (2*A001079)
+A077412 = ((1/3/x)*A001080)
+A090727 = (2*A001081)
+A075844 = (2*A001084)
+A090728 = (2*A001085)
+A291033 = ((6/x)*A001090)
+A248833 = ((5*A001091)+(-(5/(x-1))))
+A339623 = ((1*differential((A001093+(-((12/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A001093+(-((7/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A001093+(-((7/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A001093+(-((7/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A001093+(-((7/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A001093+(-((7/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/95))*differential((A001094+(-((-(23/(x-1)))+(-(144/(x-1)^3))+(-(96/(x-1)^4))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/72)*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(96/(x-1)^4))+(-(24/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/4)*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(96/(x-1)^4))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/8))*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/16))*integrate((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/24))*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/601)*differential((A001095+(-((121/(x-1))+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/600))*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(3/100))*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((9/100)*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/200)*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/300)*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/75))*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(18/25))*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/500)*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(1/617))*differential((A001096+(-((-(719/(x-1)))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/5400)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/300)*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(3/400))*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2400))*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/3600))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/675)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((1/25)*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/9000))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/720)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/54))*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/135))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/6))*differential((A001105+(-((-(2/(x-1)))+(-(4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A001105+(-((-(2/(x-1)))+(-(6/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A001105+(-((-(2/(x-1)))+(-(6/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/13))*differential((A001106+(-((-(6/(x-1)))+(-(7/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((2*(A001106+(-((-(6/(x-1)))+(-(13/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/7)*differential((A001106+(-((-(6/(x-1)))+(-(13/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/15))*differential((A001107+(-((-(7/(x-1)))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A001107+(-((-(7/(x-1)))+(-(15/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A001107+(-((-(7/(x-1)))+(-(15/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A277662 = (((1/x)*A001109)+((3*x^3)/((x^2-(6*x))+1)^2.5)+(-((4*x^2)/((x^2-(6*x))+1)^2.5))+(((3*x)-1)/((x^2-(6*x))+1)^2)+((3*x)/((x^2-(6*x))+1)^2.5))
+A339760 = ((0.6666666666666666*(A001117+(-((-(1/((3*x)-1)))+(-(3/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/6))*differential((A001117+(-((-(1/((3*x)-1)))+(-(3/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((0.2*(A001118+(-((-(1/((5*x)-1)))+(-(-(5/((4*x)-1))))+(-(-(10/((3*x)-1))))+(-(5/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/20))*differential((A001118+(-((-(1/((5*x)-1)))+(-(-(5/((4*x)-1))))+(-(-(10/((3*x)-1))))+(-(5/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A133570 = ((0.5*(A001148+(-(-(5/(x-1))))))+(-x)+(-((2*x)/(x^2+1)^2))+5)
+A339760 = (((-1)*(A001204+(-((((1/25)*(((32*x^3)+(21*x^2))-(8*x)-5))/(x^4+x^3+x^2+x+1))+(-(((3/5)*((7*x^3)+(13*x^2)+(13*x)+7))/(x^4+x^3+x^2+x+1)^2))+(-(32/25/(x-1)))+(18/25/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001204+(-((((1/25)*(((32*x^3)+(21*x^2))-(8*x)-5))/(x^4+x^3+x^2+x+1))+(-(((3/5)*((7*x^3)+(13*x^2)+(13*x)+7))/(x^4+x^3+x^2+x+1)^2))+(-(32/25/(x-1)))+(18/25/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A324487 = (((-3)*(A001254+(-(2/(x+1)))))+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((2*((2*x)-1))/((x^2+(4*x))-1))))+(-(-((9*(x+2))/(x^2-x-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A339623 = (((-(7/10))*differential((A001287+(-((-(1/(x-1)))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/45)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((4/5)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/10))*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/20))*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/30))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/105)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/175))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/42)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(3128/63))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((12512/35)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/35))*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/49))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((1377/4)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(309/32))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = ((206*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-(2202200/3))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((29729700*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(1/(x-1)^11))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-1837836)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(1/(x-1)^11)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((183783600*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-5896800)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A339623 = (((7/11)*differential((A001288+(-((1/(x-1))+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/55))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/55))*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((36/55)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/55)*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/165)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/165))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/275)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/77))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/231)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/77))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/77)*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6885/539)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/11))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((309/88)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(618/11))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = ((200200*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-5405400)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((334152*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-16707600)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(1/(x-1)^12)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((5896800/11)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(1/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((-64864800)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = ((831600*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A339623 = ((7*(A001296+(-((-(5/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A001296+(-((-(5/(x-1)^4))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/5))*(A001296+(-((-(2/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/5))*differential((A001296+(-((-(2/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A001296+(-((-(2/(x-1)^3))+(-(5/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A001296+(-((-(2/(x-1)^3))+(-(5/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-18)*(A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*integrate((A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/3))*differential((A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/13)*(A001297+(-((-(6/(x-1)^4))+(-(35/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/65))*differential((A001297+(-((-(6/(x-1)^4))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/35)*(A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/7))*integrate((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/35))*differential((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/5)*(A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(35/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/7))*differential((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(35/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A001298+(-((-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A001298+(-((-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A001298+(-((-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/77)*(A001298+(-((-(24/(x-1)^5))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/77))*differential((A001298+(-((-(24/(x-1)^5))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1104/5)*(A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(315/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(243/14))*differential((A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(315/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((918/7)*(A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(25024/15))*integrate((A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/28))*differential((A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((618/7)*(A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-314600)*differential((A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A338588 = (((-108)*(A001303+(-((-(11/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A001303+(-((-(11/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/11)*(A001303+(-((-(1/(x-1)^4))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/55))*differential((A001303+(-((-(1/(x-1)^4))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/25)*(A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/5))*integrate((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/25))*differential((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/5)*(A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(25/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/7))*differential((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(25/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A293004 = ((1*A001333)+(1/(x-1)))
+A339610 = ((3*(A001350+(-((-(1/(x+1)))+(1/(x-1))))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A291182 = (((2/3/x)*(A001352+(-1)))+(-(1/((x^2-(3*x))+1))))
+A339760 = (((-1)*(A001352+(-((6*x)/((x^2-(4*x))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001352+(-((6*x)/((x^2-(4*x))+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A291182 = (((4/x)*A001353)+(-(1/((x^2-(3*x))+1))))
+A335551 = (((1/7/x)*(A001354+(-1)))+(1/(((x^3-(2*x^2))+(3*x))-1)))
+A339760 = (((-1)*(A001354+(-((7*x)/((x^2-(3*x))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001354+(-((7*x)/((x^2-(3*x))+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A330051 = ((0.1428571428571428*(A001360+(-(6/(x-1)))))+(((1/2)*((2*x)+3))/((x^2+x)-1))+(-(((1/2)*((2*x)+1))/(x^2-x-1)))+(-(1/(x-1))))
+A339623 = (((-(7/9120))*differential((A001361+(-((-(241/(x-1)))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/8040)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/9380)*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(1/5840))*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/105120))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/157680))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/117180)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((1/4340)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/1562400))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/527040)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/39528))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/98820))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/15840)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/84480))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(153/78848))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((17/640)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/138240))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((103/3648)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(153/152))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(275275/2736))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339760 = ((1*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A001445+(-((-((3/2)*x))+(-(((1/2)*(x+1))/((2*x^2)-1)))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((1*(A001445+(-((-((3/2)*x))+(-(((1/2)*(x+1))/((2*x^2)-1)))+(-(1/2/((2*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001445+(-((-((3/2)*x))+(-(((1/2)*(x+1))/((2*x^2)-1)))+(-(1/2/((2*x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A001446+(-((-((5/2)*x))+(-(-(1/2/((4*x)-1))))+(-(1/8/((2*x)+1)))+(-(3/8/((2*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001446+(-((-((5/2)*x))+(-(-(1/2/((4*x)-1))))+(-(1/8/((2*x)+1)))+(-(3/8/((2*x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((7*differential((A001477+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*differential((A001478+(-(-(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*differential((A001489+(-(-(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((108*(A001496+(-((20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A001496+(-((20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(9428/5))*(A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(108/5))*integrate((A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/50)*differential((A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/86))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((3128/43)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4692/41))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((20655/2296)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/604))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/4832)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(1545/176))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((6885/22)*integrate((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((125125/4)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(3378375/4))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((208845/4)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((7/204)*differential((A001505+(-((6/(x-1))+(576/(x-1)^3)+(384/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/288))*(A001505+(-((6/(x-1))+(204/(x-1)^2)+(384/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/16))*differential((A001505+(-((6/(x-1))+(204/(x-1)^2)+(384/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((9/32)*(A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/64)*integrate((A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/96)*differential((A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A001511+(-(-(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001511+(-(-(1/(x-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/3000))*differential((A001512+(-((-(24/(x-1)))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/9000)*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/500)*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/2500))*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/5000))*integrate((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/7500))*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/1875)*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((18/625)*integrate((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/12500))*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/72))*differential((A001513+(-((-(5/(x-1)))+(-(72/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/36)*(A001513+(-((-(5/(x-1)))+(-(72/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/2)*differential((A001513+(-((-(5/(x-1)))+(-(72/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A331347 = ((1*A001519)+x+(3/(x-1))+(1/(x-1)^2)+1)
+A331347 = ((1*A001519)+x+(3/(x-1))+(1/(x-1)^2)+1)
+A339623 = (((7/678)*differential((A001520+(-((15/(x-1))+(1944/(x-1)^3)+(1296/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/972))*(A001520+(-((15/(x-1))+(678/(x-1)^2)+(1296/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/54))*differential((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1296/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((1/12)*(A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/216)*integrate((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/324)*differential((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/162))*differential((A001534+(-((-(8/(x-1)))+(-(162/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/81)*(A001534+(-((-(8/(x-1)))+(-(162/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((2/9)*differential((A001534+(-((-(8/(x-1)))+(-(162/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/200))*differential((A001535+(-((-(9/(x-1)))+(-(200/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/100)*(A001535+(-((-(9/(x-1)))+(-(200/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/50)*differential((A001535+(-((-(9/(x-1)))+(-(200/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/288))*differential((A001538+(-((-(11/(x-1)))+(-(288/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/144)*(A001538+(-((-(11/(x-1)))+(-(288/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/8)*differential((A001538+(-((-(11/(x-1)))+(-(288/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/32))*differential((A001539+(-((-(3/(x-1)))+(-(32/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/16)*(A001539+(-((-(3/(x-1)))+(-(32/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/8)*differential((A001539+(-((-(3/(x-1)))+(-(32/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A302946 = ((2*A001541)+(-(2/(x+1)))+(-4))
+A277662 = (((1/2/x)*A001542)+((3*x^3)/((x^2-(6*x))+1)^2.5)+(-((4*x^2)/((x^2-(6*x))+1)^2.5))+(((3*x)-1)/((x^2-(6*x))+1)^2)+((3*x)/((x^2-(6*x))+1)^2.5))
+A339623 = (((-(7/19200))*differential((A001546+(-((-(105/(x-1)))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/58752)*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/3264)*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/16384))*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/32768))*integrate((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/49152))*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/6144)*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/2048)*integrate((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/81920))*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((1/210)*differential((A001547+(-((90/(x-1))+(3430/(x-1)^3)+(2058/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/245))*(A001547+(-((90/(x-1))+(1470/(x-1)^2)+(2058/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/1715))*differential((A001547+(-((90/(x-1))+(1470/(x-1)^2)+(2058/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/343)*(A001547+(-((90/(x-1))+(1470/(x-1)^2)+(3430/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((1/49)*integrate((A001547+(-((90/(x-1))+(1470/(x-1)^2)+(3430/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/1029)*differential((A001547+(-((90/(x-1))+(1470/(x-1)^2)+(3430/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((2*(A001550+(-((-(1/((3*x)-1)))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A001550+(-((-(1/((3*x)-1)))+(-(1/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((1/112)*differential((A001561+(-((8/(x-1))+(2744/(x-1)^3)+(2058/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/196))*(A001561+(-((8/(x-1))+(784/(x-1)^2)+(2058/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/686))*differential((A001561+(-((8/(x-1))+(784/(x-1)^2)+(2058/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/343)*(A001561+(-((8/(x-1))+(784/(x-1)^2)+(2744/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((1/49)*integrate((A001561+(-((8/(x-1))+(784/(x-1)^2)+(2744/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/1029)*differential((A001561+(-((8/(x-1))+(784/(x-1)^2)+(2744/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A094347 = (2*(A001570+(-(-1))))
+A339760 = ((1*(A001570+(-(-(((13*x)-1)/((x^2-(14*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001570+(-(-(((13*x)-1)/((x^2-(14*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A330170 = ((1*(A001579+(-((-(1/((5*x)-1)))+(-(1/((3*x)-1)))))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A339760 = ((2*(A001580+(-((-(1/(x-1)))+(-(3/(x-1)^2))+(-(2/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A001580+(-((-(1/(x-1)))+(-(3/(x-1)^2))+(-(2/(x-1)^3)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/3))*differential((A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((1*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(12/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338192 = (((1/2)*(A001588+(-(-(1/(x-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A339623 = (((-(7/15))*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(50/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/25)*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/25)*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/5))*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/10))*integrate((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/15))*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/31)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/90))*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/5))*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/65)*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/65)*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/195)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/45))*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(6/5))*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/300)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A330170 = ((1*(A001594+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A339623 = (((-(1/9))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/43)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/301)*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/175))*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/50))*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/525))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/210)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/70)*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/2800))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/420)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/63))*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/315))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A338192 = (((1/2)*x*(A001595+(-(1/(x-1)))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = (((-(1/2))*differential((A001595+(-(1/(x-1))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A330051 = (((-0.2)*(A001603+(-((-((3*(x-1))/((x^2-(7*x))+1)))+(-(3/(x-1)))))))+(((1/2)*((2*x)+3))/((x^2+x)-1))+(-(((1/2)*((2*x)+1))/(x^2-x-1)))+(-(1/(x-1))))
+A081079 = ((1*(A001603+(-(((5*(x-1))/((x^2-(3*x))+1))+(-(3/(x-1)))))))+(3/(x-1)))
+A330051 = ((0.2*(A001604+(-((-((3*(x-1))/((x^2-(7*x))+1)))+(-(3/(x-1)))))))+(((1/2)*((2*x)+3))/((x^2+x)-1))+(-(((1/2)*((2*x)+1))/(x^2-x-1)))+(-(1/(x-1))))
+A081079 = ((1*(A001604+(-((-((5*(x-1))/((x^2-(3*x))+1)))+(-(3/(x-1)))))))+(3/(x-1)))
+A303226 = (((-1)*A001608)+(-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-((2*((2*x)+3))/(x^3-x-1)))+(-12))
+A323951 = (((-1)*(A001609+(-(-3))))+x^2+(-(1/(x-1)))+(-(1/(x-1)^2))+(-2))
+A339198 = ((1*(A001609+(-(((2*x)-3)/((x^3+x)-1)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = (((-0.3333333333333333)*integrate((A001609+(-(((2*x)-3)/((x^3+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A301653 = ((1*(A001610+(-(1/(x-1)))))+(1/2/(x+1))+(3/2/(x-1)))
+A338192 = ((1*(A001611+(-(-(1/(x-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A339610 = ((3*(A001612+(-(-(1/(x-1))))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A339623 = (((-(7/2))*differential((A001621+(-((-(8/(x-1)^3))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A001621+(-((-(2/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A001621+(-((-(2/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-9)*(A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2))*integrate((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/3))*differential((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*(A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(12/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(12/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A229731 = ((x*A001628)+(-x^3)+(-x)+(-((2*(x-1))/((x^2+x)-1)))+(-(1/((x^2+x)-1)^2))+(-1))
+A060933 = (((-(64/3))*differential(A001628))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((300*((2*x)+1))/((x^2+x)-1)^6))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
+A338192 = (((-x)*(A001629+(-(-((x-1)/((x^2+x)-1)^2)))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = ((1*differential((A001629+(-(-((x-1)/((x^2+x)-1)^2))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A320947 = ((2*(A001629+(-(1/((x^2+x)-1)))))+(-x)+(-((2*(x-1))/((x^2+x)-1))))
+A336867 = ((1*(A001635+(-(((x^4+(2*x^3)+(3*x^2))-5)/((x^5+x^4+x^3+x^2)-1)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A001635+(-(((x^4+(2*x^3)+(3*x^2))-5)/((x^5+x^4+x^3+x^2)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A333469 = ((1*(A001636+(-(((((2*x^3)+(4*x))-5)/((x^5+x^3+x)-1))+(-(1/(x+1)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A001636+(-(((((2*x^3)+(4*x))-5)/((x^5+x^3+x)-1))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339610 = ((3*(A001638+(-(2/(x^2+1)))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A334514 = (((1/4/x)*differential((A001638+(-((x-2)/((x^2+x)-1))))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A336867 = ((1*(A001639+(-(((x^4+(2*x^3)+(4*x))-5)/((x^5+x^4+x^3+x)-1)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A001639+(-(((x^4+(2*x^3)+(4*x))-5)/((x^5+x^4+x^3+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A333469 = ((1*(A001640+(-(((x^5+(2*x^4)+(3*x^3)+(5*x))-6)/((x^6+x^5+x^4+x^3+x)-1)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A001640+(-(((x^5+(2*x^4)+(3*x^3)+(5*x))-6)/((x^6+x^5+x^4+x^3+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A323950 = ((1*(A001641+(-((-(1/(x+1)))+(-4)))))+x^2+(-(1/(x-1)))+(-(1/(x-1)^2))+(-2))
+A338042 = ((1*(A001641+(-((-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-(1/(x+1)))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = (((-0.25)*integrate((A001641+(-((-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A336867 = ((1*(A001642+(-(((x^4+(3*x^2)+(4*x))-5)/((x^5+x^4+x^2+x)-1)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A001642+(-(((x^4+(3*x^2)+(4*x))-5)/((x^5+x^4+x^2+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A324632 = ((2*(A001643+(-((-(-((x-2)/((x^2-x)+1))))+(-(1/(x+1)))+(-6)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A309496 = (((-1)*(A001643+(-((((x^2+(2*x))-3)/((x^3+x^2+x)-1))+(-(1/(x+1)))+(-6)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A333469 = ((1*(A001643+(-((((x^2+(2*x))-3)/((x^3+x^2+x)-1))+(-(-((x-2)/((x^2-x)+1))))+(-(1/(x+1)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A001643+(-((((x^2+(2*x))-3)/((x^3+x^2+x)-1))+(-(-((x-2)/((x^2-x)+1))))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A324632 = ((2*A001644)+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A336867 = ((1*(A001645+(-((((2*x^3)+(3*x^2)+(4*x))-5)/((x^5+x^3+x^2+x)-1)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A001645+(-((((2*x^3)+(3*x^2)+(4*x))-5)/((x^5+x^3+x^2+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A324632 = ((2*(A001648+(-(-4))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A338042 = ((1*(A001648+(-(((x^3+(2*x^2)+(3*x))-4)/((x^4+x^3+x^2+x)-1)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = (((-0.25)*integrate((A001648+(-(((x^3+(2*x^2)+(3*x))-4)/((x^4+x^3+x^2+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A333469 = ((1*(A001649+(-((-(((((x^4-(4*x^3))+(3*x^2))-(8*x))+5)/(((((x^5-x^4)+(2*x^3))-x^2)+(2*x))-1)))+(-(1/(x+1)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A001649+(-((-(((((x^4-(4*x^3))+(3*x^2))-(8*x))+5)/(((((x^5-x^4)+(2*x^3))-x^2)+(2*x))-1)))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((14/3)*differential((A001651+(-((-(1/4/(x+1)))+(9/4/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A001651+(-((-(1/4/(x+1)))+(9/4/(x-1))+(3/2/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001651+(-((-(1/4/(x+1)))+(9/4/(x-1))+(3/2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A232621 = ((6*(A001653+(-(-1))))+x+(-(1/(x-1)))+(-6))
+A339760 = ((1*(A001653+(-(-(((5*x)-1)/((x^2-(6*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001653+(-(-(((5*x)-1)/((x^2-(6*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/6))*differential((A001688+(-((4/(x-1))+(-(8/(x-1)^3))+(-(6/(x-1)^4))+(-log(((-x)+1)))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(6/(x-1)^4))+(-log(((-x)+1)))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(6/(x-1)^4))+(-log(((-x)+1)))+1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-18)*(A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-log(((-x)+1)))+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*integrate((A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-log(((-x)+1)))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/3))*differential((A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-log(((-x)+1)))+1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A276745 = (1*(A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^4))+1))))
+A339760 = (((-1)*(A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^4))+(-log(((-x)+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^4))+(-log(((-x)+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A001702+(-((-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A001702+(-((-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-7)*differential((A001702+(-(x+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A001702+(-(x+(-(1/(x-1)^2))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A001702+(-(x+(-(1/(x-1)^2))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*(A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((54*integrate((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/20))*differential((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/25)*(A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/5))*integrate((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/25))*differential((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/5)*(A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/7))*differential((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-37712)*differential((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/2/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*differential((A001787+(-(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A001787+(-(1/2/((2*x)-1))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = ((1*differential((A001787+(-(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A001787+(-(1/2/((2*x)-1))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A337631 = (((-2)*differential((A001788+(-(-(1/2/((2*x)-1)^3))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A308726 = (((-1)*(A001791+(-(-(((1/2)*(sqrt(((-(4*x))+1))-1))/(x*sqrt(((-(4*x))+1))))))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A339760 = (((-1)*differential((A001792+(-(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A001792+(-(-(1/2/((2*x)-1)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = (((-1)*differential((A001792+(-(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A001792+(-(-(1/2/((2*x)-1)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = (((-1)*differential((A001815+(-((-(1/((2*x)-1)^2))+(-(1/2/((2*x)-1)^3)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((1*(A001815+(-((-(1/2/((2*x)-1)))+(-(1/2/((2*x)-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = (((-1)*differential((A001815+(-((-(1/2/((2*x)-1)))+(-(1/2/((2*x)-1)^3)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A290029 = (((-(913/8))*differential(A001816))+(-(1585/((2*x)-1)))+(-(10315/((2*x)-1)^2))+(-(27840/((2*x)-1)^3))+(-(39910/((2*x)-1)^4))+(-(32065/((2*x)-1)^5))+(-(2430/((2*x)-1)^7)))
+A338588 = ((108*differential((A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(1/12/(x+1)^2))+(-(3/4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*differential((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1))))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*differential((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1))))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/4))*differential((A001844+(-((-(1/(x-1)))+(-(4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A001844+(-((-(1/(x-1)))+(-(4/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A001844+(-((-(1/(x-1)))+(-(4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/6)*differential((A001845+(-((1/(x-1))+(12/(x-1)^3)+(8/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A001845+(-((1/(x-1))+(6/(x-1)^2)+(8/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A001845+(-((1/(x-1))+(6/(x-1)^2)+(8/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/2)*(A001845+(-((1/(x-1))+(6/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/2)*differential((A001845+(-((1/(x-1))+(6/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/8))*differential((A001846+(-((-(1/(x-1)))+(-(24/(x-1)^3))+(-(32/(x-1)^4))+(-(16/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/12)*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(32/(x-1)^4))+(-(16/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/2)*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(32/(x-1)^4))+(-(16/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/8))*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(16/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/8))*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(16/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((2357*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((27*integrate((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/40))*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/10)*differential((A001847+(-((1/(x-1))+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/20))*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/10))*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/20)*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^5)+(32/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/20)*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^5)+(32/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/5))*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(27/5))*integrate((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/200)*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/16))*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((391*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/12))*differential((A001848+(-((-(1/(x-1)))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/30)*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/5)*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/40))*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/40))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/15)*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/5)*integrate((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/200))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/32)*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(64/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/6))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((1173*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/224))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((1/2)*differential((A001849+(-((1/(x-1))+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/6))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(3/7))*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/70)*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/70)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/35))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(27/35))*integrate((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/1400)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/112))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(448/(x-1)^7)+(128/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/21)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1173/7))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(128/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((20655/1568)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(128/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/64))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/512)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A338588 = (((-(108/7))*differential((A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(-(2/9/(x-1)^2))+(8/3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A060932 = ((240*A001872)+(64/((x^2+x)-1)^3)+(300/((x^2+x)-1)^5)+(125/((x^2+x)-1)^6))
+A060933 = ((60*differential(A001872))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((300*((2*x)+1))/((x^2+x)-1)^6))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
+A060932 = (((-300)*A001873)+(64/((x^2+x)-1)^3)+(240/((x^2+x)-1)^4)+(125/((x^2+x)-1)^6))
+A060933 = (((-60)*differential(A001873))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
+A060932 = ((125*A001874)+(64/((x^2+x)-1)^3)+(240/((x^2+x)-1)^4)+(300/((x^2+x)-1)^5))
+A060933 = (((125/6)*differential(A001874))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((300*((2*x)+1))/((x^2+x)-1)^6)))
+A316937 = (((-2)*(A001891+(-((-(3/(x-1)))+(-(2/(x-1)^2))))))+(-(13/((2*x)-1))))
+A339623 = (((-(7/2))*differential((A001891+(-((-(((3*x)+5)/((x^2+x)-1)))+(-(3/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A001895+(-((-(((1/4)*sqrt(((-(4*x^2))+1)))/x))+(-(((1/8)*(((3*sqrt(((-(4*x^2))+1)))+sqrt(((-(4*x))+1)))-4))/x^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001895+(-((-(((1/4)*sqrt(((-(4*x^2))+1)))/x))+(-(((1/8)*(((3*sqrt(((-(4*x^2))+1)))+sqrt(((-(4*x))+1)))-4))/x^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A310019 = ((0.5*(A001903+(-(-(5/(x-1))))))+(-(2*x^2))+(-(((2/7)*(((16*x^5)+(30*x^4)+(28*x^3)+(17*x^2)+(4*x))-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((2*((3*x)-1))/((x^2-x)+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(79/21/(x-1))+(25/7/(x-1)^2)+3)
+A335551 = (((1/x)*A001906)+(1/(((x^3-(2*x^2))+(3*x))-1)))
+A316528 = (((-2)*(A001911+(-(2/(x-1)))))+(-(5/((2*x)-1))))
+A339623 = (((-(14/3))*(A001919+(-((7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A001919+(-((7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/7)*(A001919+(-((3/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/7)*differential((A001919+(-((3/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-9428)*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-108)*integrate((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/10)*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-75072)*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((41310/7)*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-41310)*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/4)*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A308747 = ((1*(A001924+(-((-(2/(x-1)))+(-(1/(x-1)^2))))))+(((5*x)+3)/(x^2-x-1))+(-(2/(x-1)))+(-(2/(x-1)^2)))
+A339623 = (((-7)*differential((A001924+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(2/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A281208 = (((-0.3636363636363636)*(A001925+(-((-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2))+(-(2/(x-1)^3))))))+(2*x^4)+(-(26*x^3))+(-(26*x^2))+(-(10*x))+(70/(x-1))+(4/((x^2+x)-1)^2)+(14/(x-1)^2)+24)
+A067986 = ((5*(A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(44/(x-1))))+(-(11/(x-1)^2))+(-(2/(x-1)^3))))))+(58/((x^2+x)-1)))
+A339623 = (((-(7/11))*differential((A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A303226 = (((-1)*(A001945+(-(((2*x)+3)/(x^3-x-1)))))+(-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-((2*((2*x)+3))/(x^3-x-1)))+(-12))
+A303226 = (((-2)*(A001945+(-((x^2-3)/((x^3+x^2)-1)))))+(-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-((x^2-3)/((x^3+x^2)-1)))+(-12))
+A147316 = ((1*(A002057+(-((-((sqrt(((-(4*x))+1))-2)/x^3))+(-(((1/2)*(sqrt(((-(4*x))+1))-1))/x^4))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A319200 = (((-1)*integrate((A002057+(-((-((sqrt(((-(4*x))+1))-2)/x^3))+(-(((1/2)*(sqrt(((-(4*x))+1))-1))/x^4)))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A143460 = (((-0.5)*differential((A002057+(-((-((sqrt(((-(4*x))+1))-2)/x^3))+(-(((1/2)*(sqrt(((-(4*x))+1))-1))/x^4)))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A339623 = (((-(7/4))*differential((A002061+(-((-(3/(x-1)))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/4))*differential((A002061+(-((-(3/(x-1)))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338192 = ((1*(A002062+(-((1/(x-1))+(1/(x-1)^2)))))+(-(x^2/((x^3+x^2+x)-1))))
+A339623 = ((7*differential((A002062+(-((-(x/((x^2+x)-1)))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-2)*(A002064+(-((-(1/(x-1)))+(1/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A002064+(-((-(1/(x-1)))+(1/((2*x)-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A002064+(-((1/((2*x)-1))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((1*differential((A002064+(-((1/((2*x)-1))+(-(1/(x-1))))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A310019 = (((-1)*(A002081+(-((5/(x-1))+(5/(x-1)^2)))))+(-(2*x^2))+(-(((2/7)*(((16*x^5)+(30*x^4)+(28*x^3)+(17*x^2)+(4*x))-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((2*((3*x)-1))/((x^2-x)+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(79/21/(x-1))+(25/7/(x-1)^2)+3)
+A339623 = (((7/5)*differential((A002081+(-((-((x-2)/(x^2+1)))+(5/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A133368 = ((2*(A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(8/(x-1)^2))+(-(4/(x-1)^3))))))+(-(3/(x-1))))
+A339623 = (((-(7/8))*differential((A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(8/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(8/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = (((-1)*A002109)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate(A002109))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*A002190)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate(A002190))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A002216+(-((-(-(((1/8)*((5*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1)))-8))/x)))+(-(((1/24)*(((((-x)+1)^1.5*((-(5*x))+1)^1.5)-(4*sqrt(((-x^3)+1))*sqrt(((-(5*x^3))+1)))-(9*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1))))+12))/x^2))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A002216+(-((-(-(((1/8)*((5*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1)))-8))/x)))+(-(((1/24)*(((((-x)+1)^1.5*((-(5*x))+1)^1.5)-(4*sqrt(((-x^3)+1))*sqrt(((-(5*x^3))+1)))-(9*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1))))+12))/x^2))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = ((1*(A002216+(-((-x)+(-(-(((1/8)*((5*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1)))-8))/x)))+(-(((1/24)*(((((-x)+1)^1.5*((-(5*x))+1)^1.5)-(4*sqrt(((-x^3)+1))*sqrt(((-(5*x^3))+1)))-(9*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1))))+12))/x^2))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A002216+(-((-x)+(-(-(((1/8)*((5*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1)))-8))/x)))+(-(((1/24)*(((((-x)+1)^1.5*((-(5*x))+1)^1.5)-(4*sqrt(((-x^3)+1))*sqrt(((-(5*x^3))+1)))-(9*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1))))+12))/x^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A267437 = (((-2)*(A002248+(-((-(1/((2*x)-1)))+(-(1/(x-1)))))))+(-(11*x))+(-(4/((2*x)-1)))+(-(1/(x-1)))+(-9))
+A339760 = ((2*(A002248+(-(((x-2)/(((2*x^2)-x)+1))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A002248+(-(((x-2)/(((2*x^2)-x)+1))+(-(1/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A267437 = ((2*A002249)+(-(11*x))+(-(4/((2*x)-1)))+(-(1/(x-1)))+(-9))
+A339623 = (((-14)*(A002299+(-((18/(x-1)^4)+(48/(x-1)^5)+(32/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A002299+(-((18/(x-1)^4)+(48/(x-1)^5)+(32/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((6*(A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/3)*integrate((A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/9)*differential((A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/3))*(A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-9)*integrate((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/40)*differential((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/16))*(A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(48/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((391*differential((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(48/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/81)*differential((A002309+(-((1/(x-1))+(544/(x-1)^3)+(1232/(x-1)^4)+(1152/(x-1)^5)+(384/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/272))*(A002309+(-((1/(x-1))+(81/(x-1)^2)+(1232/(x-1)^4)+(1152/(x-1)^5)+(384/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/136))*differential((A002309+(-((1/(x-1))+(81/(x-1)^2)+(1232/(x-1)^4)+(1152/(x-1)^5)+(384/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/308)*(A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1152/(x-1)^5)+(384/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/308)*differential((A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1152/(x-1)^5)+(384/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/72))*(A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(384/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(3/8))*integrate((A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(384/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/960)*differential((A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(384/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/64))*(A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(1152/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/12)*differential((A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(1152/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A202391 = ((1*A002315)+(2/(x-1))+1)
+A339623 = (((-(7/2))*differential((A002378+(-(-(2/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A002378+(-(-(2/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A002378+(-(-(2/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A290029 = ((2430*A002409)+(-(1585/((2*x)-1)))+(-(10315/((2*x)-1)^2))+(-(27840/((2*x)-1)^3))+(-(39910/((2*x)-1)^4))+(-(32065/((2*x)-1)^5))+(-(13695/((2*x)-1)^6)))
+A339623 = (((7/2)*differential((A002411+(-((5/(x-1)^3)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/5))*(A002411+(-((2/(x-1)^2)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/5))*differential((A002411+(-((2/(x-1)^2)+(3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A002411+(-((2/(x-1)^2)+(5/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A002411+(-((2/(x-1)^2)+(5/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A002411+(-((2/(x-1)^2)+(5/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/3)*differential((A002412+(-((7/(x-1)^3)+(4/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-2)*(A002412+(-((3/(x-1)^2)+(4/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/7))*differential((A002412+(-((3/(x-1)^2)+(4/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((27*(A002412+(-((3/(x-1)^2)+(7/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((2357*differential((A002412+(-((3/(x-1)^2)+(7/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/4)*differential((A002413+(-((9/(x-1)^3)+(5/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/9))*(A002413+(-((4/(x-1)^2)+(5/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-4)*differential((A002413+(-((4/(x-1)^2)+(5/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/5)*(A002413+(-((4/(x-1)^2)+(9/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/5)*differential((A002413+(-((4/(x-1)^2)+(9/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/5)*differential((A002414+(-((11/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/11))*(A002414+(-((5/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/11))*differential((A002414+(-((5/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A002414+(-((5/(x-1)^2)+(11/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A002414+(-((5/(x-1)^2)+(11/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A002414+(-((5/(x-1)^2)+(11/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-7)*differential((A002415+(-((-(4/(x-1)^3))+(-(5/(x-1)^4))+(-(2/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A002415+(-((-(1/(x-1)^2))+(-(5/(x-1)^4))+(-(2/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A002415+(-((-(1/(x-1)^2))+(-(5/(x-1)^4))+(-(2/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/5))*(A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(2/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/5))*differential((A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(2/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18856*(A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(5/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*differential((A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(5/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((14/3)*(A002417+(-((-(7/(x-1)^4))+(-(4/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((12*differential((A002417+(-((-(7/(x-1)^4))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/7))*(A002417+(-((-(3/(x-1)^3))+(-(4/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/7))*differential((A002417+(-((-(3/(x-1)^3))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*(A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/2)*(A002418+(-((-(9/(x-1)^4))+(-(5/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A002418+(-((-(9/(x-1)^4))+(-(5/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-12)*(A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/3))*integrate((A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/9))*differential((A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/5)*(A002418+(-((-(4/(x-1)^3))+(-(9/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/25))*differential((A002418+(-((-(4/(x-1)^3))+(-(9/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((14/5)*(A002419+(-((-(11/(x-1)^4))+(-(6/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A002419+(-((-(11/(x-1)^4))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/11))*(A002419+(-((-(5/(x-1)^3))+(-(6/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/11))*differential((A002419+(-((-(5/(x-1)^3))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*(A002419+(-((-(5/(x-1)^3))+(-(11/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A002419+(-((-(5/(x-1)^3))+(-(11/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A002466+(-(-((((2*x^7)-(2*x^6)-(8*x^5))+(4*x^4)+(2*x^3)+x^2+x+1)/(((2*x^10)+(15*x^5))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A002466+(-(-((((2*x^7)-(2*x^6)-(8*x^5))+(4*x^4)+(2*x^3)+x^2+x+1)/(((2*x^10)+(15*x^5))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A226546 = (((-1)*A002478)+(((4*x^2)+(2*x)+1)/((x^3+(2*x^2)+x)-1)^2))
+A339623 = (((7/4)*differential((A002492+(-((12/(x-1)^3)+(8/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A002492+(-((4/(x-1)^2)+(8/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A002492+(-((4/(x-1)^2)+(8/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/2)*(A002492+(-((4/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/2)*differential((A002492+(-((4/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338153 = (((-1)*(A002501+(-((-(3/((4*x)-1)))+(-(2/((3*x)-1)))))))+(-(14*x^2))+(-(2/((4*x)-1)))+(-(2/((2*x)-1)))+(-(5/(x-1)))+(-2))
+A330170 = ((0.3333333333333333*(A002502+(-((-(1/((15*x)-1)))+(-(4/((8*x)-1)))+(-(12/((5*x)-1)))+(6/((4*x)-1))))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A323799 = ((1*A002524)+(((1/17)*(((x^12+(4*x^11)+(7*x^10)+(12*x^9)+(21*x^8)+(11*x^7))-(9*x^6)-(28*x^5)-(49*x^4)-(28*x^3)-(31*x^2))+16))/(((x^13+(3*x^12)+(3*x^11)+(5*x^10)+(9*x^9)+(7*x^8))-(3*x^7)-(19*x^6)-(21*x^5)-(13*x^4)-(3*x^3)-(3*x^2)-x)+1))+(-(1/17/(x-1))))
+A290999 = (6*A002532)
+A002546 = (1*A002545)
+A002548 = (1*A002547)
+A339623 = (((7/31)*differential((A002561+(-((180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/90))*(A002561+(-((31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/5))*differential((A002561+(-((31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/65)*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/65)*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/195)*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/45))*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(6/5))*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/300)*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A002578+(-((-(((1/18)*((2*x)+1))/(x^2+x+1)))+(-(((1/6)*((2*x)-1))/((x^2-x)+1)))+(-(1/24/(x+1)))+(-(181/72/(x-1)))+(-(29/12/(x-1)^2))+(-(5/6/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A002578+(-((-(((1/18)*((2*x)+1))/(x^2+x+1)))+(-(((1/6)*((2*x)-1))/((x^2-x)+1)))+(-(1/24/(x+1)))+(-(181/72/(x-1)))+(-(29/12/(x-1)^2))+(-(5/6/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/27))*differential((A002593+(-((-(1/(x-1)))+(-(98/(x-1)^3))+(-(120/(x-1)^4))+(-(48/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/7)*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(120/(x-1)^4))+(-(48/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/49)*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(120/(x-1)^4))+(-(48/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/10))*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/20))*integrate((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/30))*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/3)*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((9*integrate((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/40))*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/243))*differential((A002594+(-((-(1/(x-1)))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/1441)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/1441)*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(1/100))*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/1800))*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/2700))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/1110)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/370)*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/14800))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/2240)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/168))*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/420))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/20)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/320))*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/896))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337120 = (((-1.333333333333333)*(A002598+(-((-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1111111111111111*differential((A002598+(-((-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.3333333333333333)*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = ((4*integrate((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = (((-0.1666666666666667)*differential((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(1/9))*differential((A002604+(-((-(2/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/43)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/301)*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/175))*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/50))*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/525))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/210)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/70)*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/2800))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/420)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/63))*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/315))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((-0.5)*(A002660+(-((-(2*x))+(3/(x-1))+(3/(x-1)^2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A002660+(-((-(2*x))+(3/(x-1))+(3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.5)*(A002660+(-((-(2*x^2))+(3/(x-1))+(3/(x-1)^2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*integrate((A002660+(-((-(2*x^2))+(3/(x-1))+(3/(x-1)^2))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = ((1*differential((A002660+(-((-(2*x^2))+(3/(x-1))+(3/(x-1)^2))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((7/3)*differential((A002660+(-((-(2*x^2))+(-(2*x))+(3/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((2*(A002662+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A002662+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = ((7*differential((A002662+(-((-(1/((2*x)-1)))+(1/(x-1))+(1/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-14)*(A002662+(-((-(1/((2*x)-1)))+(1/(x-1))+(1/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A002662+(-((-(1/((2*x)-1)))+(1/(x-1))+(1/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((2*(A002663+(-((-(2/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A002663+(-((-(2/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/2))*differential((A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^2))+(-(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^2))+(-(1/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-108)*(A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^2))+(-(2/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^2))+(-(2/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((2*(A002664+(-((1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(3/(x-1)^4)+(1/(x-1)^5)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A002664+(-((1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(3/(x-1)^4)+(1/(x-1)^5))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((7/2)*differential((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(4/(x-1)^3)+(3/(x-1)^4)+(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2))*(A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(3/(x-1)^4)+(1/(x-1)^5)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-9)*differential((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(3/(x-1)^4)+(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(1/(x-1)^5)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(1/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-37712)*(A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(3/(x-1)^4)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/5)*differential((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339610 = ((1*(A002714+(-(-((((3*x^3)-(3*x^2)-(5*x))+3)/(((x^4-(4*x^3)-(2*x^2))+(4*x))-1))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A002714+(-(-((((3*x^3)-(3*x^2)-(5*x))+3)/(((x^4-(4*x^3)-(2*x^2))+(4*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337962 = (((18856/3)*differential((A002717+(-((1/16/(x+1))+(-(1/16/(x-1)))+(1/8/(x-1)^2)+(7/4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*A002720)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate(A002720))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/11))*differential((A002721+(-((-(1/(x-1)))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/109)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/109)*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(2/9))*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/81))*integrate((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/243))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/639)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/1065))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/1055)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/211))*integrate((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/1055))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37536/1075)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4131/1505))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4131/124)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(927/992))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((927/31)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-(3303300/31))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((-14)*differential((A002754+(-((-(1/16/((9*x)-1)))+(-(7/16/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A002783+(-((-(2/((3*x)-1)))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/4))*differential((A002783+(-((-(2/((3*x)-1)))+(-(1/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-1)*(A002791+(-((7/(x-1))+(4/(x-1)^2)+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A002791+(-((7/(x-1))+(4/(x-1)^2)+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/4)*differential((A002791+(-((-x^2)+(7/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A002791+(-((-x^2)+(7/(x-1))+(4/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A002791+(-((-x^2)+(7/(x-1))+(4/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*A002793)+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential(A002793))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-7)*differential((A002817+(-((-(4/(x-1)^3))+(-(6/(x-1)^4))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A002817+(-((-(1/(x-1)^2))+(-(6/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A002817+(-((-(1/(x-1)^2))+(-(6/(x-1)^4))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-18)*(A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*integrate((A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/3))*differential((A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(6/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(6/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A301775 = (((-1)*A002878)+(-(2*x))+(-((x-1)/(x^2+x+1)))+(-2))
+A339623 = (((-(1/12))*differential((A002889+(-(((2*((275*x)+508))/((x^2+x)-1))+(-(-((6*((51*x)+92))/((x^2+x)-1)^2)))+(-(-(550/(x-1))))+(-((2*((67*x)+116))/((x^2+x)-1)^3))+(-(((34*x)+55)/((x^2+x)-1)^4))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A002889+(-(((2*((275*x)+508))/((x^2+x)-1))+(-(-((6*((51*x)+92))/((x^2+x)-1)^2)))+(-(-(550/(x-1))))+(-((2*((67*x)+116))/((x^2+x)-1)^3))+(-(84/(x-1)^2))+(-(((34*x)+55)/((x^2+x)-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A002889+(-(((2*((275*x)+508))/((x^2+x)-1))+(-(-((6*((51*x)+92))/((x^2+x)-1)^2)))+(-(-(550/(x-1))))+(-((2*((67*x)+116))/((x^2+x)-1)^3))+(-(84/(x-1)^2))+(-(((34*x)+55)/((x^2+x)-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/6))*(A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(1/2))*differential((A002939+(-((-(6/(x-1)))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A002939+(-((-(6/(x-1)))+(-(14/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A002939+(-((-(6/(x-1)))+(-(14/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A316528 = ((1*(A002940+(-((-(((2*x)+3)/((x^2+x)-1)^2))+(-(2/(x-1)))))))+(-(5/((2*x)-1))))
+A281211 = (((-7)*(A002940+(-(((2*(x+2))/((x^2+x)-1))+(-(2/(x-1)))))))+(-(10*x^7))+(-(-(18*x^6)))+(-(222*x^4))+(-(996*x^3))+(-(908*x^2))+(-(685*x))+(-(((137*x)+265)/((x^2+x)-1)))+(2629/(x-1))+(743/(x-1)^2)+1600)
+A339623 = (((-(7/4))*differential((A002941+(-((-((4*((8*x)+15))/((x^2+x)-1)))+(-(-((4*((5*x)+9))/((x^2+x)-1)^2)))+(-(32/(x-1)))+(-(((8*x)+13)/((x^2+x)-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/10))*differential((A002943+(-((-(2/(x-1)))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A002943+(-((-(2/(x-1)))+(-(10/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A002943+(-((-(2/(x-1)))+(-(10/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = (((-2)*(A003063+(-((-(1/3/((3*x)-1)))+(2/3)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A003063+(-((-(1/3/((3*x)-1)))+(2/3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/24))*differential((A003154+(-((-(13/(x-1)))+(-(12/(x-1)^3))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/6)*(A003154+(-((-(13/(x-1)))+(-(24/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((3*differential((A003154+(-((-(13/(x-1)))+(-(24/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A003154+(-((-(13/(x-1)))+(-(24/(x-1)^2))+(-(12/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003154+(-((-(13/(x-1)))+(-(24/(x-1)^2))+(-(12/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/6))*differential((A003215+(-((-(1/(x-1)))+(-(6/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A003215+(-((-(1/(x-1)))+(-(6/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A003215+(-((-(1/(x-1)))+(-(6/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/10)*differential((A003222+(-((-(2/((8*x)-1)))+(2/(x-1))+(8/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/4))*(A003222+(-((-(2/((8*x)-1)))+(2/(x-1))+(10/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/2))*differential((A003222+(-((-(2/((8*x)-1)))+(2/(x-1))+(10/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = (((-2)*(A003261+(-((1/(x-1))+(1/((2*x)-1)^2)+1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A003261+(-((1/(x-1))+(1/((2*x)-1)^2)+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A003261+(-((1/((2*x)-1))+(1/(x-1))+1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((1*differential((A003261+(-((1/((2*x)-1))+(1/(x-1))+1)))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = (((-1)*(A003261+(-((1/((2*x)-1))+(1/(x-1))+(1/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A003261+(-((1/((2*x)-1))+(1/(x-1))+(1/((2*x)-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A003274+(-((-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-(2/(x-1)^2))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A003274+(-((-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-(2/(x-1)^2))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A170933 = (((-0.5)*(A003274+(-((-x)+(-(2/(x-1)))+(-(2/(x-1)^2))+(-1)))))+(-(4/(x-1))))
+A339623 = (((-(7/2))*differential((A003274+(-((-x)+(-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A003274+(-((-x)+(-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-(2/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003274+(-((-x)+(-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-(2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003411+(-(-((x^3+x^2+2)/((x^4+x)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003411+(-(-((x^3+x^2+2)/((x^4+x)-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A003417+(-((((1/9)*((6*x)+1))/(x^2+x+1))+(-(2/3/(x-1)))+(-(((2/3)*x)/(x^2+x+1)^2))+(2/9/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A003417+(-((((1/9)*((6*x)+1))/(x^2+x+1))+(-(2/3/(x-1)))+(-(((2/3)*x)/(x^2+x+1)^2))+(2/9/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337962 = ((37712*(A003438+(-((-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A003438+(-((-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/115)*(A003438+(-((-(1/(x-1)^5))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/23))*integrate((A003438+(-((-(1/(x-1)^5))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(544/5))*differential((A003438+(-((-(1/(x-1)^5))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/1835)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/2569))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((8262/22411)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(927/89644))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((1854/233573)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-(6606600/233573))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((660660/15661)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337962 = (((-(927/78305))*integrate((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-(204204/78305))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((7351344/1060655)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(235872/1060655))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((10296/10291)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((-(132/10291))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A337406 = (((133056/1396267)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A323972 = (((-(682/453786775))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((682/36968875)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((-(66/36968875))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((1386/37040075)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((-(286/185200375))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(429/(x-1)^17))+(-6))
+A323972 = (((286/4718075)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(4718075/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(429/(x-1)^17))+(-6))
+A323972 = (((-(1386/943615))*integrate((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((-(143/150978400))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-6))
+A323972 = (((429/4718075)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-6))
+A252927 = (((-(30323/80207275))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16)))))))+(-(12/(x-1)))+(-(-(-(-(27/(x-1)^2)))))+(-(-(-(-(76/(x-1)^3)))))+(-(-(-(-(170/(x-1)^4)))))+(-(-(-(-(183/(x-1)^5)))))+(-(-(-(19/(x-1)^6))))+(-(-(-(30/(x-1)^7))))+(-(-(-(459/(x-1)^8))))+(-(-(-(160/(x-1)^9))))+(-(-(1038/(x-1)^10)))+(-(-(325/(x-1)^11)))+(-(-(2453/(x-1)^12)))+(-(1679/(x-1)^13))+(-(8125/(x-1)^14))+(-(12163/(x-1)^15))+(-(16349/(x-1)^16))+(-(4361/(x-1)^17))+(-(47754/(x-1)^19))+(-(28764/(x-1)^20))+(-(6392/(x-1)^21))+(-4))
+A339760 = (((-1)*(A003451+(-((-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(2/(x-1)^3)+(1/2/(x-1)^4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A003451+(-((-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(2/(x-1)^3)+(1/2/(x-1)^4))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-7)*(A003451+(-((-x)+(-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(1/2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A003451+(-((-x)+(-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(1/2/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((18856*differential((A003451+(-((-x)+(-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*differential((A003453+(-((1/16/(x+1))+(-(-(1/16/(x-1))))+(-(-(1/16/(x+1)^2)))+(-(3/16/(x-1)^2))+(-(1/2/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337120 = (((-4)*(A003467+(-((1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A003467+(-((1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((7/9)*differential((A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/9))*(A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-4)*differential((A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A003469+(-((-(1/(x-1)))+(-(2/((2*x)-1)^2))+(-(1/(x-1)^2))+(1/(x-1)^3)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/4))*differential((A003469+(-((-(1/(x-1)))+(-(2/((2*x)-1)^2))+(-(1/(x-1)^2))+(1/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((1/2)*(A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^3)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-2)*integrate((A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A337631 = (((-(1/2))*differential((A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^3))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-7)*differential((A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^2))+(1/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-14)*(A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^2))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^2))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/2)*differential((A003485+(-((-(((1/2)*((2*x)-1))/(x^2+1)))+(-(1/4/(x+1)))+(5/4/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A302946 = ((1*A003499)+(-(2/(x+1)))+(-4))
+A335649 = ((0.5*A003500)+(-(((1/6)*((7*x)-1))/((x^2-(14*x))+1)))+(-(5/6/(x-1))))
+A253150 = ((4*A003501)+(-(70*x))+(-((2*((((15*x^3)-(64*x^2))+(45*x))-4))/((((x^4-(15*x^3))+(32*x^2))-(15*x))+1)))+(-((4*((3*x)-2))/((x^2-(3*x))+1)))+(-(8/(x-1)))+(-32))
+A339623 = ((7*differential((A003600+(-((1/(x-1))+(1/(x-1)^3)+(1/(x-1)^4)+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-14)*(A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^4)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^4)+1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)+1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*(A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)+(1/(x-1)^4)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)+(1/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((1.5*(A003662+(-((-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A003662+(-((-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((2*(A003662+(-((2*x^4)+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.1666666666666667)*differential((A003662+(-((2*x^4)+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.3333333333333333)*(A003662+(-((2*x^4)+(-(2*x^3))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = ((4*integrate((A003662+(-((2*x^4)+(-(2*x^3))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = (((-0.1666666666666667)*differential((A003662+(-((2*x^4)+(-(2*x^3))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.5)*(A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*integrate((A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = ((1*differential((A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((7/3)*differential((A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A333469 = (((-1)*(A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = ((0.1666666666666667*integrate((A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((1*(A003663+(-((2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.3*differential((A003663+(-((2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((1.5*(A003663+(-((2*x^5)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A003663+(-((2*x^5)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-2)*(A003663+(-((2*x^5)+(2*x^4)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1666666666666667*differential((A003663+(-((2*x^5)+(2*x^4)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.2*(A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.1*differential((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A330396 = ((2*(A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+(2*x)+(7/(x-1))+(3/(x-1)^2)+3))))+(1/(x-1))+(1/(x-1)^2))
+A339623 = (((7/3)*differential((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((2*(A003664+(-((3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.6*differential((A003664+(-((3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((1*(A003664+(-(x^5+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.3333333333333333)*differential((A003664+(-(x^5+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-4)*(A003664+(-(x^5+(3*x^4)+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A003664+(-(x^5+(3*x^4)+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.3333333333333333*(A003664+(-(x^5+(3*x^4)+x^3+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-4)*integrate((A003664+(-(x^5+(3*x^4)+x^3+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.1666666666666667*differential((A003664+(-(x^5+(3*x^4)+x^3+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339623 = (((7/3)*differential((A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A333469 = (((-1)*(A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = ((0.1666666666666667*integrate((A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A003682+(-((-(4/(x-1)))+(-(4/(x-1)^2))+(-(2/(x-1)^3))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A003682+(-((-(4/(x-1)))+(-(4/(x-1)^2))+(-(2/(x-1)^3))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-(7/4))*differential((A003682+(-((-x)+(-(4/(x-1)))+(-(2/(x-1)^3))+(-2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A003682+(-((-x)+(-(4/(x-1)))+(-(4/(x-1)^2))+(-2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A003682+(-((-x)+(-(4/(x-1)))+(-(4/(x-1)^2))+(-2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339610 = ((1*(A003682+(-((-x)+(-(4/(x-1)))+(-(4/(x-1)^2))+(-(2/(x-1)^3))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A003682+(-((-x)+(-(4/(x-1)))+(-(4/(x-1)^2))+(-(2/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003688+(-(((2*x)-1)/((x^2+(3*x))-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003688+(-(((2*x)-1)/((x^2+(3*x))-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*(A003695+(-((-(-(3*x)))+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))+10))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A003695+(-((-(-(3*x)))+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))+10)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.3333333333333333*(A003695+(-((2*x^2)+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))+10))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A003695+(-((2*x^2)+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))+10)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A325686 = (((-1)*(A003695+(-((2*x^2)+(-(-(3*x)))+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))))))+(((2/3)*(x+2))/(x^2+x+1))+(-(1/(x^2+1)))+(-(11/4/(x+1)))+(-(113/12/(x-1)))+(-(1/2/(x+1)^2))+(-(5/(x-1)^2))+(-(1/(x-1)^3)))
+A339760 = ((0.1*integrate((A003695+(-((2*x^2)+(-(-(3*x)))+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003698+(-((-(((1/2)*((4*x)-1))/(((4*x^2)-(7*x))+1)))+(-(1/2/(x+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003698+(-((-(((1/2)*((4*x)-1))/(((4*x^2)-(7*x))+1)))+(-(1/2/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003729+(-(-((((x^3-(8*x^2))+(8*x))-1)/((((x^4-(19*x^3))+(41*x^2))-(19*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003729+(-(-((((x^3-(8*x^2))+(8*x))-1)/((((x^4-(19*x^3))+(41*x^2))-(19*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003730+(-(-(((((8*x^3)+(6*x^2))-(8*x))+1)/((((3*x^4)-(22*x^3)-(4*x^2))+(9*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003730+(-(-(((((8*x^3)+(6*x^2))-(8*x))+1)/((((3*x^4)-(22*x^3)-(4*x^2))+(9*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003731+(-(-((5*x^2)/((((2*x^3)-(4*x^2))+(6*x))-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A003731+(-(-((5*x^2)/((((2*x^3)-(4*x^2))+(6*x))-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = ((0.25*(A003732+(-((-(-((23/5)*x)))+(-(-(((2/56475225)*((((2.0128253074*E10*x^5)+(2.9100097141*E10*x^4))-(9.164131835*E9*x^3)-(1.3299236668*E10*x^2))+(1536436224*x)+926557903))/((((((5*x^6)+(3*x^5))-(3*x^4))+(20*x^3))-x^2-(7*x))+1))))+(-(-(((5/2259009)*((193811605*x^2)-(222867076*x)-166512973))/((((2*x^3)-(4*x^2))+(6*x))-1))))+(-(((5/4509)*(((1325*x^2)-(1789442*x))+331051))/((((2*x^3)-(4*x^2))+(6*x))-1)^2))+(-(784/25))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.125*differential((A003732+(-((-(-((23/5)*x)))+(-(-(((2/56475225)*((((2.0128253074*E10*x^5)+(2.9100097141*E10*x^4))-(9.164131835*E9*x^3)-(1.3299236668*E10*x^2))+(1536436224*x)+926557903))/((((((5*x^6)+(3*x^5))-(3*x^4))+(20*x^3))-x^2-(7*x))+1))))+(-(-(((5/2259009)*((193811605*x^2)-(222867076*x)-166512973))/((((2*x^3)-(4*x^2))+(6*x))-1))))+(-(((5/4509)*(((1325*x^2)-(1789442*x))+331051))/((((2*x^3)-(4*x^2))+(6*x))-1)^2))+(-(784/25)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003735+(-(-((((x^3-(15*x^2))+(15*x))-1)/((((x^4-(44*x^3))+(102*x^2))-(44*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003735+(-(-((((x^3-(15*x^2))+(15*x))-1)/((((x^4-(44*x^3))+(102*x^2))-(44*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003736+(-(-(((((10*x^5)-(254*x^4)-(245*x^3))+(77*x^2)+(17*x))-1)/(((((24*x^6)-(1098*x^5))+(1354*x^4)+(285*x^3))-(149*x^2)-(21*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003736+(-(-(((((10*x^5)-(254*x^4)-(245*x^3))+(77*x^2)+(17*x))-1)/(((((24*x^6)-(1098*x^5))+(1354*x^4)+(285*x^3))-(149*x^2)-(21*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A003737+(-((-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1)))+(-18)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A003737+(-((-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1)))+(-18))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A003737+(-((-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1)))+(-18))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A335412 = (((-1)*(A003737+(-((4*x)+(-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1)))))))+(-(((18/5)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1)))+(-(((18/5)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))+(-(42/5/(x+1)))+(-(117/5/(x-1)))+(-(9/2/(x+1)^2))+(-(57/2/(x-1)^2))+(-(12/(x-1)^3)))
+A339760 = (((-0.05555555555555555)*integrate((A003737+(-((4*x)+(-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003741+(-(-((((((x^5-(25*x^4))+(145*x^3))-(145*x^2))+(25*x))-1)/((((((x^6-(65*x^5))+(548*x^4))-(995*x^3))+(548*x^2))-(65*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003741+(-(-((((((x^5-(25*x^4))+(145*x^3))-(145*x^2))+(25*x))-1)/((((((x^6-(65*x^5))+(548*x^4))-(995*x^3))+(548*x^2))-(65*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003742+(-(-(((((75*x^5)-(980*x^4)-(869*x^3))+(225*x^2)+(20*x))-1)/(((((405*x^6)-(7239*x^5))+(6539*x^4)+(707*x^3))-(396*x^2)-(26*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003742+(-(-(((((75*x^5)-(980*x^4)-(869*x^3))+(225*x^2)+(20*x))-1)/(((((405*x^6)-(7239*x^5))+(6539*x^4)+(707*x^3))-(396*x^2)-(26*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.1666666666666667*(A003743+(-((-(((3/16)*((((72752*x^4)-(58556*x^3))+(14824*x^2)+(1872*x))-117))/(((((256*x^5)+(432*x^4))-(460*x^3))+(136*x^2)+(16*x))-1)))+(-(351/16))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.3333333333333333*integrate((A003743+(-((-(((3/16)*((((72752*x^4)-(58556*x^3))+(14824*x^2)+(1872*x))-117))/(((((256*x^5)+(432*x^4))-(460*x^3))+(136*x^2)+(16*x))-1)))+(-(351/16)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A333469 = (((-1)*differential((A003743+(-((-(((3/16)*((((72752*x^4)-(58556*x^3))+(14824*x^2)+(1872*x))-117))/(((((256*x^5)+(432*x^4))-(460*x^3))+(136*x^2)+(16*x))-1)))+(-(351/16)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A167072 = ((0.4*(A003745+(-(-((80*(x^3-x))/((((x^4-(1610*x^3))+(103707*x^2))-(1610*x))+1))))))+(-((14*(((x^7-(5*x^6)-(121*x^5))+(121*x^3)+(5*x^2))-x))/((((((((x^8-(490*x^7))+(15193*x^6))-(129850*x^5))+(280468*x^4))-(129850*x^3))+(15193*x^2))-(490*x))+1))))
+A339760 = ((1*(A003747+(-((-(((55/73)*(x-1))/((x^2-(75*x))+1)))+(-(18/73/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003747+(-((-(((55/73)*(x-1))/((x^2-(75*x))+1)))+(-(18/73/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003748+(-(-((((38*x^2)+(35*x))-1)/(((436*x^3)-(288*x^2)-(47*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003748+(-(-((((38*x^2)+(35*x))-1)/(((436*x^3)-(288*x^2)-(47*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.08333333333333333*(A003749+(-((-((40*((28*x)-1))/(((12*x^2)+(28*x))-1)))+(-40)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.1666666666666667*integrate((A003749+(-((-((40*((28*x)-1))/(((12*x^2)+(28*x))-1)))+(-40))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*differential((A003749+(-((-((40*((28*x)-1))/(((12*x^2)+(28*x))-1)))+(-40))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3)))
+A304610 = (((-1)*(A003749+(-((12*x)+(-((40*((28*x)-1))/(((12*x^2)+(28*x))-1)))))))+(197/(x-1))+(157/(x-1)^2))
+A339760 = (((-0.025)*integrate((A003749+(-((12*x)+(-((40*((28*x)-1))/(((12*x^2)+(28*x))-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.01666666666666667*(A003750+(-((-(-(((5/20675209)*(((1.9307896938*E10*x^2)+(1.3502382795*E10*x))-463539565))/(((48*x^3)-(90*x^2)-(39*x))+1))))+(-(((80/62025627)*((2.1658444803*E10*x)-(2.5884058063*E10)))/(((12*x^2)+(28*x))-1)))+(-(((160/13641)*((79725292*x)-2805961))/(((12*x^2)+(28*x))-1)^2))+(-585)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.03333333333333333*integrate((A003750+(-((-(-(((5/20675209)*(((1.9307896938*E10*x^2)+(1.3502382795*E10*x))-463539565))/(((48*x^3)-(90*x^2)-(39*x))+1))))+(-(((80/62025627)*((2.1658444803*E10*x)-(2.5884058063*E10)))/(((12*x^2)+(28*x))-1)))+(-(((160/13641)*((79725292*x)-2805961))/(((12*x^2)+(28*x))-1)^2))+(-585))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A269196 = ((1*differential((A003750+(-((-(-(((5/20675209)*(((1.9307896938*E10*x^2)+(1.3502382795*E10*x))-463539565))/(((48*x^3)-(90*x^2)-(39*x))+1))))+(-(((80/62025627)*((2.1658444803*E10*x)-(2.5884058063*E10)))/(((12*x^2)+(28*x))-1)))+(-(((160/13641)*((79725292*x)-2805961))/(((12*x^2)+(28*x))-1)^2))+(-585))))))+(24*x)+((4*((266*x)+81))/(((6*x^2)-(15*x))+1))+((128*((44*x)-3))/(((6*x^2)-(15*x))+1)^2))
+A339760 = (((-0.001709401709401709)*integrate((A003750+(-((60*x)+(-(-(((5/20675209)*(((1.9307896938*E10*x^2)+(1.3502382795*E10*x))-463539565))/(((48*x^3)-(90*x^2)-(39*x))+1))))+(-(((80/62025627)*((2.1658444803*E10*x)-(2.5884058063*E10)))/(((12*x^2)+(28*x))-1)))+(-(((160/13641)*((79725292*x)-2805961))/(((12*x^2)+(28*x))-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.25)*(A003752+(-((-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1)))+(-28)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.5)*integrate((A003752+(-((-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1)))+(-28))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = ((1*differential((A003752+(-((-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1)))+(-28))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A329824 = ((1*(A003752+(-((-(4*x))+(-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1)))))))+(-(4*x^9))+(-(-(-(8*x^7))))+(-(-(-(6*x^6))))+(-(-(-(12*x^5))))+(-(-(-(30*x^4))))+(-(-(4*x^3)))+(-(-(50*x^2)))+(-(30*x))+(-((2*(((((((24*x^9)-(21*x^8))+(60*x^7))-(11*x^6))+(22*x^5)+(23*x^4)+(2*x^3)+(27*x^2))-(14*x))+14))/((x^10+(2*x^9)+(2*x^8)+(2*x^7)+(3*x^6))-1))))
+A339760 = (((-0.03571428571428571)*integrate((A003752+(-((-(4*x))+(-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003758+(-(-((((x^4+x^3)-(6*x^2)-(3*x))+1)/(((x^5-(3*x^4)-(3*x^3))+(9*x^2)+(3*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003758+(-(-((((x^4+x^3)-(6*x^2)-(3*x))+1)/(((x^5-(3*x^4)-(3*x^3))+(9*x^2)+(3*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((1*(A003759+(-((-(4*x^5))+(-(6*x^4))+(-(6*x^3))+(2*x^2)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.1666666666666667)*differential((A003759+(-((-(4*x^5))+(-(6*x^4))+(-(6*x^3))+(2*x^2))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.5)*(A003759+(-((-(2*x^6))+(-(6*x^4))+(-(6*x^3))+(2*x^2)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.15)*differential((A003759+(-((-(2*x^6))+(-(6*x^4))+(-(6*x^3))+(2*x^2))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.5)*(A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^3))+(2*x^2)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.1666666666666667*differential((A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^3))+(2*x^2))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.6666666666666666*(A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^4))+(2*x^2)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.05555555555555555)*differential((A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^4))+(2*x^2))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.5*(A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^4))+(-(6*x^3))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^4))+(-(6*x^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((2*(A003762+(-((-(8*x^2))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))+(-46)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.1666666666666667)*differential((A003762+(-((-(8*x^2))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))+(-46))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.125)*(A003762+(-((-(2*x^3))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))+(-46)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.0625)*differential((A003762+(-((-(2*x^3))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))+(-46))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A267139 = ((1*(A003762+(-((-(2*x^3))+(-(8*x^2))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))))))+(-(128*x^4))+(-(-(-(48*x^3))))+(-(-(-(88*x^2))))+(-(-(28*x)))+(-(-(((29*x)-47)/((2*x^2)-1))))+(-(-(1/((4*x)+1))))+(-(-(1/((4*x)-1))))+(-(1/2/(x+1)))+(-(1/2/(x-1))))
+A339760 = (((-0.02173913043478261)*integrate((A003762+(-((-(2*x^3))+(-(8*x^2))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003764+(-(-((((20*x^3)-(9*x^2)-(5*x))+1)/((((16*x^5)-(16*x^4)-(29*x^3))+(16*x^2)+(6*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003764+(-(-((((20*x^3)-(9*x^2)-(5*x))+1)/((((16*x^5)-(16*x^4)-(29*x^3))+(16*x^2)+(6*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A003765+(-((-((2*((((12*x^4)-(14*x^3))+(3*x^2)+(4*x))-1))/(((((4*x^5)-(20*x^4))+(19*x^3))-(3*x^2)-(5*x))+1)))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A003765+(-((-((2*((((12*x^4)-(14*x^3))+(3*x^2)+(4*x))-1))/(((((4*x^5)-(20*x^4))+(19*x^3))-(3*x^2)-(5*x))+1)))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = ((1*(A003765+(-((-x)+(-((2*((((12*x^4)-(14*x^3))+(3*x^2)+(4*x))-1))/(((((4*x^5)-(20*x^4))+(19*x^3))-(3*x^2)-(5*x))+1)))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A003765+(-((-x)+(-((2*((((12*x^4)-(14*x^3))+(3*x^2)+(4*x))-1))/(((((4*x^5)-(20*x^4))+(19*x^3))-(3*x^2)-(5*x))+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((2*(A003768+(-((-(4*x^2))+(-((3/4)*x))+(((1/4)*((((((((720*x^7)-(7216*x^6))+(12296*x^5))-(10276*x^4))+(5918*x^3))-(2492*x^2))+(557*x))-39))/(((((((((64*x^8)-(128*x^7))+(256*x^6))-(336*x^5))+(264*x^4))-(148*x^3))+(62*x^2))-(14*x))+1))+(39/4)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.1666666666666667)*differential((A003768+(-((-(4*x^2))+(-((3/4)*x))+(((1/4)*((((((((720*x^7)-(7216*x^6))+(12296*x^5))-(10276*x^4))+(5918*x^3))-(2492*x^2))+(557*x))-39))/(((((((((64*x^8)-(128*x^7))+(256*x^6))-(336*x^5))+(264*x^4))-(148*x^3))+(62*x^2))-(14*x))+1))+(39/4))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.25)*(A003768+(-((-(2*x^3))+(-((3/4)*x))+(((1/4)*((((((((720*x^7)-(7216*x^6))+(12296*x^5))-(10276*x^4))+(5918*x^3))-(2492*x^2))+(557*x))-39))/(((((((((64*x^8)-(128*x^7))+(256*x^6))-(336*x^5))+(264*x^4))-(148*x^3))+(62*x^2))-(14*x))+1))+(39/4)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A003768+(-((-(2*x^3))+(-((3/4)*x))+(((1/4)*((((((((720*x^7)-(7216*x^6))+(12296*x^5))-(10276*x^4))+(5918*x^3))-(2492*x^2))+(557*x))-39))/(((((((((64*x^8)-(128*x^7))+(256*x^6))-(336*x^5))+(264*x^4))-(148*x^3))+(62*x^2))-(14*x))+1))+(39/4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003769+(-((-(((1/7)*((2*x)-5))/((x^2-(5*x))+1)))+(-(2/7/(x+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003769+(-((-(((1/7)*((2*x)-5))/((x^2-(5*x))+1)))+(-(2/7/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003770+(-(((x^2-(8*x))+1)/(((12*x^3)-(8*x^2)-(11*x))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003770+(-(((x^2-(8*x))+1)/(((12*x^3)-(8*x^2)-(11*x))+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.3333333333333333)*(A003771+(-((-((6*((6*x)-1))/(((2*x^2)-(7*x))+1)))+(-6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = ((1*differential((A003771+(-((-((6*((6*x)-1))/(((2*x^2)-(7*x))+1)))+(-6))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A333469 = ((1*(A003771+(-((-(3*x))+(-((6*((6*x)-1))/(((2*x^2)-(7*x))+1)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A003771+(-((-(3*x))+(-((6*((6*x)-1))/(((2*x^2)-(7*x))+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.08333333333333333*(A003772+(-((-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2))+(-16)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.1666666666666667*integrate((A003772+(-((-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2))+(-16))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*differential((A003772+(-((-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2))+(-16))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3)))
+A304519 = ((1*(A003772+(-((12*x)+(-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2))))))+(-(72/((2*x)-1)))+(-(56/(x-1))))
+A339760 = (((-0.0625)*integrate((A003772+(-((12*x)+(-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = (((-1.5)*(A003774+(-((-(-(-((23/6)*x^3))))+(-(-((59/72)*x^2)))+(-(-((131/864)*x)))+(-(((1/10368)*(((107764*x^2)+(198168*x))-20101))/(((48*x^3)+(4*x^2)+(12*x))-1)))+(-(20101/10368))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.5*differential((A003774+(-((-(-(-((23/6)*x^3))))+(-(-((59/72)*x^2)))+(-(-((131/864)*x)))+(-(((1/10368)*(((107764*x^2)+(198168*x))-20101))/(((48*x^3)+(4*x^2)+(12*x))-1)))+(-(20101/10368)))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((7/4)*differential((A003777+(-((1/(x-1))+(10/(x-1)^3)+(6/(x-1)^4)+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/5))*(A003777+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^4)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/5))*differential((A003777+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^4)+1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*(A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+(6/(x-1)^4)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+(6/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((14*differential((A003815+(-((((1/2)*(x-1))/(x^2+1))+(-(1/2/(x+1)))+(1/2/(x+1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*differential((A003816+(-((-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/9))*differential((A003878+(-((-(3/(x-1)))+(-(2/(x-1)^3))+(-(33/(x-1)^4))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(33/(x-1)^4))+(-(24/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(33/(x-1)^4))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(36/11))*(A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(24/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/11))*integrate((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/33))*differential((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(33/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(33/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(33/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-(1/3))*differential((A003945+(-(-(1/2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/2))*differential((A003993+(-((-(2/3/((3*x)-1)))+(-(2/(x-1)))+(-(2/3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/8))*differential((A003994+(-((-(((1/2)*(x-1))/((x^2-(6*x))+1)))+(-(2/((3*x)-1)))+(-(7/2/(x-1)))+(-(4/3/((3*x)-1)^2))+(-(4/(x-1)^3))+(-(2/3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A003994+(-((-(((1/2)*(x-1))/((x^2-(6*x))+1)))+(-(2/((3*x)-1)))+(-(7/2/(x-1)))+(-(4/3/((3*x)-1)^2))+(-(8/(x-1)^2))+(-(2/3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A003994+(-((-(((1/2)*(x-1))/((x^2-(6*x))+1)))+(-(2/((3*x)-1)))+(-(7/2/(x-1)))+(-(4/3/((3*x)-1)^2))+(-(8/(x-1)^2))+(-(2/3)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/2)*differential((A004006+(-((1/(x-1))+(2/(x-1)^3)+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*(A004006+(-((1/(x-1))+(2/(x-1)^2)+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A004006+(-((1/(x-1))+(2/(x-1)^2)+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A004006+(-((1/(x-1))+(2/(x-1)^2)+(2/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A004006+(-((1/(x-1))+(2/(x-1)^2)+(2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/2)*differential((A004006+(-((1/(x-1))+(2/(x-1)^3)+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*(A004006+(-((1/(x-1))+(2/(x-1)^2)+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A004006+(-((1/(x-1))+(2/(x-1)^2)+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A004006+(-((1/(x-1))+(2/(x-1)^2)+(2/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A004006+(-((1/(x-1))+(2/(x-1)^2)+(2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/6)*differential((A004068+(-((1/(x-1))+(10/(x-1)^3)+(5/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/5))*(A004068+(-((1/(x-1))+(6/(x-1)^2)+(5/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/5))*differential((A004068+(-((1/(x-1))+(6/(x-1)^2)+(5/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/5)*(A004068+(-((1/(x-1))+(6/(x-1)^2)+(10/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/5)*differential((A004068+(-((1/(x-1))+(6/(x-1)^2)+(10/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/8)*differential((A004126+(-((1/(x-1))+(14/(x-1)^3)+(7/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-1)*(A004126+(-((1/(x-1))+(8/(x-1)^2)+(7/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/7))*differential((A004126+(-((1/(x-1))+(8/(x-1)^2)+(7/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/7)*(A004126+(-((1/(x-1))+(8/(x-1)^2)+(14/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/7)*differential((A004126+(-((1/(x-1))+(8/(x-1)^2)+(14/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A324487 = (((-3)*(A004146+(-(2/(x-1)))))+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((2*((2*x)-1))/((x^2+(4*x))-1))))+(-(-((9*(x+2))/(x^2-x-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A290903 = ((5/x)*A004187)
+A339623 = (((7/10)*differential((A004188+(-((1/(x-1))+(18/(x-1)^3)+(9/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/9))*(A004188+(-((1/(x-1))+(10/(x-1)^2)+(9/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-2)*differential((A004188+(-((1/(x-1))+(10/(x-1)^2)+(9/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((12*(A004188+(-((1/(x-1))+(10/(x-1)^2)+(18/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/3)*integrate((A004188+(-((1/(x-1))+(10/(x-1)^2)+(18/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/9)*differential((A004188+(-((1/(x-1))+(10/(x-1)^2)+(18/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A322052 = (((-(1/x))*A004189)+(-(1/((10*x)-1))))
+A339760 = ((1*(A004253+(-(-(((4*x)-1)/((x^2-(5*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A004253+(-(-(((4*x)-1)/((x^2-(5*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/4))*differential((A004255+(-((-(10/(x-1)^3))+(-(9/(x-1)^4))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/5)*(A004255+(-((-(4/(x-1)^2))+(-(9/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/5)*differential((A004255+(-((-(4/(x-1)^2))+(-(9/(x-1)^4))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-12)*(A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/3))*integrate((A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/9))*differential((A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(9/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(9/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(14/3))*(A004256+(-((23/(x-1)^4)+(40/(x-1)^5)+(20/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A004256+(-((23/(x-1)^4)+(40/(x-1)^5)+(20/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/23)*(A004256+(-((3/(x-1)^3)+(40/(x-1)^5)+(20/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/23)*differential((A004256+(-((3/(x-1)^3)+(40/(x-1)^5)+(20/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/5))*(A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(20/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(54/5))*integrate((A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(20/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/100)*differential((A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(20/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/10))*(A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(40/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*integrate((A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(40/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((3128/5)*differential((A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(40/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/2)*differential((A004273+(-((3/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A004273+(-((3/(x-1))+(2/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004273+(-((3/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A004274+(-((2*x)+(5/(x-1))+(2/(x-1)^2)+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A004274+(-((2*x)+(5/(x-1))+(2/(x-1)^2)+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A004274+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A004274+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A004274+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((7/2)*differential((A004274+(-(x^2+(2*x)+(5/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A004274+(-(x^2+(2*x)+(5/(x-1))+(2/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A004274+(-(x^2+(2*x)+(5/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A004275+(-((4/(x-1))+(2/(x-1)^2)+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A004275+(-((4/(x-1))+(2/(x-1)^2)+2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((7/2)*differential((A004275+(-(x+(4/(x-1))+2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = (((-1)*(A004275+(-(x+(4/(x-1))+(2/(x-1)^2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A004275+(-(x+(4/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((3*(A004276+(-((2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-1)*differential((A004276+(-((2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-2)*(A004276+(-(x^4+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1666666666666667*differential((A004276+(-(x^4+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.3333333333333333*(A004276+(-(x^4+(2*x^3)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-4)*integrate((A004276+(-(x^4+(2*x^3)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.1666666666666667*differential((A004276+(-(x^4+(2*x^3)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A004276+(-(x^4+(2*x^3)+(3*x^2)+(7/(x-1))+(2/(x-1)^2)+5))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A004276+(-(x^4+(2*x^3)+(3*x^2)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A004276+(-(x^4+(2*x^3)+(3*x^2)+(7/(x-1))+(2/(x-1)^2)+5)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339623 = (((7/2)*differential((A004276+(-(x^4+(2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+5)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A336867 = (((-1)*(A004276+(-(x^4+(2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = ((0.2*integrate((A004276+(-(x^4+(2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/2)*differential((A004277+(-((2/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A004277+(-((2/(x-1))+(2/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004277+(-((2/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A004278+(-((2*x^2)+(3*x)+(6/(x-1))+(2/(x-1)^2)+4))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A004278+(-((2*x^2)+(3*x)+(6/(x-1))+(2/(x-1)^2)+4)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.5*(A004278+(-(x^3+(3*x)+(6/(x-1))+(2/(x-1)^2)+4))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A004278+(-(x^3+(3*x)+(6/(x-1))+(2/(x-1)^2)+4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.3333333333333333*(A004278+(-(x^3+(2*x^2)+(6/(x-1))+(2/(x-1)^2)+4))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A004278+(-(x^3+(2*x^2)+(6/(x-1))+(2/(x-1)^2)+4)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339623 = (((7/2)*differential((A004278+(-(x^3+(2*x^2)+(3*x)+(6/(x-1))+4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338042 = (((-1)*(A004278+(-(x^3+(2*x^2)+(3*x)+(6/(x-1))+(2/(x-1)^2)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = ((0.25*integrate((A004278+(-(x^3+(2*x^2)+(3*x)+(6/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A004280+(-((2*x)+(5/(x-1))+(2/(x-1)^2)+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A004280+(-((2*x)+(5/(x-1))+(2/(x-1)^2)+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A004280+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A004280+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A004280+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((7/2)*differential((A004280+(-(x^2+(2*x)+(5/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A004280+(-(x^2+(2*x)+(5/(x-1))+(2/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A004280+(-(x^2+(2*x)+(5/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A004281+(-((2*x^2)+(3*x)+(5/(x-1))+(2/(x-1)^2)+4))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A004281+(-((2*x^2)+(3*x)+(5/(x-1))+(2/(x-1)^2)+4)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.5*(A004281+(-(x^3+(3*x)+(5/(x-1))+(2/(x-1)^2)+4))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A004281+(-(x^3+(3*x)+(5/(x-1))+(2/(x-1)^2)+4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.3333333333333333*(A004281+(-(x^3+(2*x^2)+(5/(x-1))+(2/(x-1)^2)+4))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A004281+(-(x^3+(2*x^2)+(5/(x-1))+(2/(x-1)^2)+4)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339623 = (((7/2)*differential((A004281+(-(x^3+(2*x^2)+(3*x)+(5/(x-1))+4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338042 = (((-1)*(A004281+(-(x^3+(2*x^2)+(3*x)+(5/(x-1))+(2/(x-1)^2)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = ((0.25*integrate((A004281+(-(x^3+(2*x^2)+(3*x)+(5/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-14)*(A004282+(-((9/(x-1)^4)+(18/(x-1)^5)+(10/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A004282+(-((9/(x-1)^4)+(18/(x-1)^5)+(10/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((12*(A004282+(-((1/(x-1)^3)+(18/(x-1)^5)+(10/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/3)*integrate((A004282+(-((1/(x-1)^3)+(18/(x-1)^5)+(10/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/9)*differential((A004282+(-((1/(x-1)^3)+(18/(x-1)^5)+(10/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/9))*(A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(10/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/15)*differential((A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(10/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*(A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(18/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18856*integrate((A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(18/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/5)*differential((A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(18/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(14/3))*(A004302+(-((15/(x-1)^4)+(22/(x-1)^5)+(10/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A004302+(-((15/(x-1)^4)+(22/(x-1)^5)+(10/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((36/5)*(A004302+(-((3/(x-1)^3)+(22/(x-1)^5)+(10/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/5)*integrate((A004302+(-((3/(x-1)^3)+(22/(x-1)^5)+(10/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/15)*differential((A004302+(-((3/(x-1)^3)+(22/(x-1)^5)+(10/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/11))*(A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(10/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/55)*differential((A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(10/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*(A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(22/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18856*integrate((A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(22/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/5)*differential((A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(22/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A308726 = ((1*differential((A004303+(-((1/2/((2*x)-1))+(1/(x-1))+(1/(x-1)^2)+1)))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A339760 = ((1*differential((A004303+(-((-((1/2)*sqrt(((-(4*x))+1))))+(1/(x-1))+(1/(x-1)^2)+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = ((7*differential((A004303+(-((-((1/2)*sqrt(((-(4*x))+1))))+(1/2/((2*x)-1))+(1/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A004303+(-((-((1/2)*sqrt(((-(4*x))+1))))+(1/2/((2*x)-1))+(1/(x-1))+(1/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004303+(-((-((1/2)*sqrt(((-(4*x))+1))))+(1/2/((2*x)-1))+(1/(x-1))+(1/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((0.4*(A004306+(-((-(-(6*x^2)))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.03333333333333333)*differential((A004306+(-((-(-(6*x^2)))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.1666666666666667*(A004306+(-((-(10*x^3))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-2)*integrate((A004306+(-((-(10*x^3))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.08333333333333333*differential((A004306+(-((-(10*x^3))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.3333333333333333*(A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A324632 = (((-1)*(A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-(-(3*x)))+(-(2/(x-1)))+(-7)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A335155 = ((1*(A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))))))+(-x^12)+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2)))
+A339760 = (((-0.1428571428571428)*integrate((A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A308726 = (((-1)*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A319200 = ((0.25*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A147316 = (((-0.25)*differential((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A147316 = ((0.1*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A319200 = (((-0.1)*integrate((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A143460 = (((-0.05)*differential((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-0.1666666666666667)*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A147316 = ((0.3333333333333333*integrate((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A143460 = ((0.05555555555555555*differential((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-1)*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.25*differential((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A308726 = ((1*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A319200 = (((-0.1666666666666667)*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A147316 = ((0.1666666666666667*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A147316 = (((-0.02857142857142857)*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A319200 = ((0.02857142857142857*integrate((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A143460 = ((0.01428571428571429*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.01785714285714286*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A147316 = (((-0.03571428571428571)*integrate((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A143460 = (((-0.005952380952380952)*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.02777777777777778*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-0.08333333333333333)*integrate((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-0.006944444444444444)*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-0.1)*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.02*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^5)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-1)*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^5)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.1666666666666667*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^8)+(1/x^9))
+A339623 = ((14*(A004320+(-((-(5/(x-1)^4))+(-(4/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A004320+(-((-(5/(x-1)^4))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/5))*(A004320+(-((-(1/(x-1)^3))+(-(4/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/5))*differential((A004320+(-((-(1/(x-1)^3))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*(A004320+(-((-(1/(x-1)^3))+(-(5/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A004320+(-((-(1/(x-1)^3))+(-(5/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A004320+(-((-(1/(x-1)^3))+(-(5/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((7*differential((A004442+(-((1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A328943 = (((-0.5)*(A004443+(-((1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004443+(-(((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A328943 = (((-0.5)*(A004444+(-((1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004444+(-(((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A266912 = ((0.75*(A004445+(-((1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004445+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A266912 = ((0.75*(A004446+(-((1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004446+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A266912 = ((0.75*(A004447+(-(((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004447+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004447+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A266912 = ((0.75*(A004448+(-(((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004448+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004448+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004449+(-((1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A339623 = ((7*differential((A004449+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004450+(-((1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A339623 = ((7*differential((A004450+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004451+(-(((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A328943 = (((-0.5)*(A004451+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004451+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004452+(-(((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A328943 = (((-0.5)*(A004452+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004452+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004453+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004453+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004453+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004454+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004454+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004454+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004455+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004455+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004455+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004455+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004456+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004456+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004456+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004456+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004457+(-((1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A339623 = ((7*differential((A004457+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004458+(-((1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A339623 = ((7*differential((A004458+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004459+(-(((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A328943 = (((-0.5)*(A004459+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004459+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004460+(-(((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A328943 = (((-0.5)*(A004460+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004460+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004461+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004461+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004461+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004462+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004462+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004462+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004463+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004463+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004463+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004463+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004464+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004464+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004464+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004464+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A004465+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/11)*differential((A004466+(-((1/(x-1))+(20/(x-1)^3)+(10/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/10))*(A004466+(-((1/(x-1))+(11/(x-1)^2)+(10/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/5))*differential((A004466+(-((1/(x-1))+(11/(x-1)^2)+(10/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((54/5)*(A004466+(-((1/(x-1))+(11/(x-1)^2)+(20/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((4714/5)*differential((A004466+(-((1/(x-1))+(11/(x-1)^2)+(20/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/12)*differential((A004467+(-((1/(x-1))+(22/(x-1)^3)+(11/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/11))*(A004467+(-((1/(x-1))+(12/(x-1)^2)+(11/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/11))*differential((A004467+(-((1/(x-1))+(12/(x-1)^2)+(11/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/11)*(A004467+(-((1/(x-1))+(12/(x-1)^2)+(22/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/11)*differential((A004467+(-((1/(x-1))+(12/(x-1)^2)+(22/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A301773 = (((-1)*(A004483+(-((1/(x-1))+(1/(x-1)^2)))))+(-(((3*x)-2)/((x^2-(3*x))+1))))
+A339623 = ((7*differential((A004483+(-(((x+2)/(x^2+x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A004492+(-(((3*((2*x^5)+(2*x^4)+(2*x^3)+x^2+x+1))/(x^6+x^3+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A004495+(-(((3*(x^5+x^4+x^3+(2*x^2)+(2*x)+2))/(x^6+x^3+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A334514 = (((1/x)*differential((A004524+(-((1/(x-1))+(1/2/(x-1)^2))))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A339623 = ((14*differential((A004524+(-((1/2/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*differential((A004525+(-((((1/2)*x)/(x^2+1))+(1/2/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*differential((A004526+(-((1/4/(x+1))+(3/4/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*differential((A004538+(-((1/(x-1))+(-(6/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A004538+(-((1/(x-1))+(-(6/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A004538+(-((1/(x-1))+(-(6/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A268099 = ((5*A004643)+(1/(x-1)))
+A337962 = ((37712*differential((A004657+(-((1/4/(x^2+1))+(3/16/(x+1)^2)+(9/16/(x-1)^2)+(1/4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*differential((A004657+(-((1/4/(x^2+1))+(3/16/(x+1)^2)+(9/16/(x-1)^2)+(1/4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/4))*differential((A004766+(-((3/(x-1))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A004766+(-((3/(x-1))+(-(4/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A004766+(-((3/(x-1))+(-(4/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/4)*differential((A004767+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/8)*differential((A004768+(-(-(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/8)*differential((A004769+(-(-(3/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/8)*differential((A004770+(-((11/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A004770+(-((11/(x-1))+(8/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A004770+(-((11/(x-1))+(8/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A004772+(-((-(((1/3)*x)/(x^2+x+1)))+(7/3/(x-1))+(4/3/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004772+(-((-(((1/3)*x)/(x^2+x+1)))+(7/3/(x-1))+(4/3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A004774+(-((-x)+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)+2))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A004774+(-((-x)+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)+2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A004774+(-(x^2+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A004774+(-(x^2+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)+2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = (((-1)*(A004774+(-(x^2+(-x)+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A004774+(-(x^2+(-x)+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((3*(A004775+(-((-x^3)+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-1)*differential((A004775+(-((-x^3)+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((4*(A004775+(-(x^4+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A004775+(-(x^4+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*(A004775+(-(x^4+(-x^3)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A004775+(-(x^4+(-x^3)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A004775+(-(x^4+(-x^3)+(-x^2)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A004775+(-(x^4+(-x^3)+(-x^2)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = (((-1)*(A004775+(-(x^4+(-x^3)+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A004775+(-(x^4+(-x^3)+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A004776+(-((-(((1/7)*((3*x^5)-(2*x^3)-(3*x^2)-(3*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(17/7/(x-1))+(8/7/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004776+(-((-(((1/7)*((3*x^5)-(2*x^3)-(3*x^2)-(3*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(17/7/(x-1))+(8/7/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339610 = (((-1)*(A004777+(-((((1/7)*(((2*x^5)+(3*x^4)+(3*x^3)+(2*x^2))-3))/(x^6+x^5+x^4+x^3+x^2+x+1))+(19/7/(x-1))+(8/7/(x-1)^2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A004777+(-((((1/7)*(((2*x^5)+(3*x^4)+(3*x^3)+(2*x^2))-3))/(x^6+x^5+x^4+x^3+x^2+x+1))+(19/7/(x-1))+(8/7/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A004794+(-((-(((1/6)*(x^3+x^2+x+1))/(x^4+(3*x^3)+(8*x^2)+(3*x)+1)))+(-(((1/6)*((x^3-(3*x^2))+(4*x)))/((((x^4-(3*x^3))+(8*x^2))-(3*x))+1)))+(-(((1/3)*(x-2))/((x^2-(3*x))+1)))+(-(((1/6)*x)/(x^2+(3*x)+1)))+(-(1/2/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A004794+(-((-(((1/6)*(x^3+x^2+x+1))/(x^4+(3*x^3)+(8*x^2)+(3*x)+1)))+(-(((1/6)*((x^3-(3*x^2))+(4*x)))/((((x^4-(3*x^3))+(8*x^2))-(3*x))+1)))+(-(((1/3)*(x-2))/((x^2-(3*x))+1)))+(-(((1/6)*x)/(x^2+(3*x)+1)))+(-(1/2/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338192 = (((-(1/4))*(A004799+(-((5*x)/((x^2+x)-1)^2))))+(-(x^2/((x^3+x^2+x)-1))))
+A291916 = (((-(1/5))*(A004799+(-((4*x)/((x^2+x)-1)))))+(-((x+1)/((x^2+x)-1)))+(-(-(1/(x-1))))+(-2))
+A339623 = (((-(7/3571))*differential((A004972+(-((3570/(x-1))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A004972+(-((3570/(x-1))+(-(3571/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A004972+(-((3570/(x-1))+(-(3571/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((3*(A005005+(-((3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-1)*differential((A005005+(-((3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-1.333333333333333)*(A005005+(-(x^4+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1111111111111111*differential((A005005+(-(x^4+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.2*(A005005+(-(x^4+(3*x^3)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.1*differential((A005005+(-(x^4+(3*x^3)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.1111111111111111*(A005005+(-(x^4+(3*x^3)+(5*x^2)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A330395 = (((-1)*differential((A005005+(-(x^4+(3*x^3)+(5*x^2)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13)))))+(2*x^4)+(-(-(5*x^3)))+(-(-(4*x^2)))+(-(-x))+(-(-(19/(x-1))))+(-(-(11/(x-1)^2)))+(-(1/(x-1)^4)))
+A339623 = (((7/6)*differential((A005005+(-(x^4+(3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+13)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A329771 = (((-1)*(A005005+(-(x^4+(3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)))))+(3*x^7)+(-(4*x^6))+(-x^5)+(-(2*x^4))+(-(5*x^3))+(-(8*x^2))+(-(11*x))+(-(14/(x-1))))
+A339760 = ((0.07692307692307693*integrate((A005005+(-(x^4+(3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.2857142857142857*A005009)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/14))*differential(A005009))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((0.2222222222222222*A005010)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/18))*differential(A005010))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A140833 = ((1*(A005013+(-(-(1/((x^2+x)-1))))))+(-((x+1)/((x^2+x)-1))))
+A338192 = ((x*(A005013+(-((x+1)/(x^2-x-1)))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = (((-1)*differential((A005013+(-((x+1)/(x^2-x-1))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A339760 = ((0.1818181818181818*A005015)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/22))*differential(A005015))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A188827 = ((1*(A005022+(-((-(2/((2*x)-1)))+(-1)))))+(20*x)+(-(((2*x)+1)/((2*x^2)-1)))+(-4))
+A339760 = ((1*(A005022+(-((-(((2*x)-3)/(((2*x^2)-(4*x))+1)))+(-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/4))*differential((A005022+(-((-(((2*x)-3)/(((2*x^2)-(4*x))+1)))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((1*(A005022+(-((-(((2*x)-3)/(((2*x^2)-(4*x))+1)))+(-(2/((2*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005022+(-((-(((2*x)-3)/(((2*x^2)-(4*x))+1)))+(-(2/((2*x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A005023+(-((((1/3)*(x^2-(8*x)-2))/(((x^3-(9*x^2))+(6*x))-1))+(-(1/3/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005023+(-((((1/3)*(x^2-(8*x)-2))/(((x^3-(9*x^2))+(6*x))-1))+(-(1/3/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A122588 = (x*(A005025+(-(-1))))
+A339760 = ((1*(A005025+(-(-(1/(((((x^5-(15*x^4))+(35*x^3))-(28*x^2))+(9*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005025+(-(-(1/(((((x^5-(15*x^4))+(35*x^3))-(28*x^2))+(9*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.1538461538461539*A005029)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/26))*differential(A005029))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((2*(A005056+(-((-(1/((3*x)-1)))+(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A005056+(-((-(1/((3*x)-1)))+(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-2)*(A005057+(-(-(1/((5*x)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A005057+(-(-(1/((5*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A330170 = ((1*(A005062+(-(1/((5*x)-1)))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A339760 = ((2*(A005126+(-(1/(x-1)^2))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A005126+(-(1/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = ((7*differential((A005126+(-(-(1/((2*x)-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A335155 = ((((-(1.01020203030404*e))-7)*(A005151+(-((-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A335155 = ((((1.68367005050673*e)-8)*differential((A005151+(-((-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A335155 = ((((-(1.01010101010101*e))-7)*(A005151+(-((9899010*x^12)+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A335155 = ((((6.06060606060606*e)-7)*integrate((A005151+(-((9899010*x^12)+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A335365 = ((((-(9.18273645546373*e))-9)*differential((A005151+(-((9899010*x^12)+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(2.04102459434636*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(5.1025614858659*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(2.35758967764252*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(3.66736172077725*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(3.31594970386437*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(5.92133875690067*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(4.75961538690366*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A338024 = ((((1.3598901105439*e)-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((9.47368874792461*e)-8)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((-(1.5789481246541*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((-(9.38121417490204*e))-8)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((-(2.81436425247061*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((-(1.40705012784926*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((((4.69016709283088*e)-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((((1.87597084422393*e)-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((((-(1.56330903685327*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((((-(4.68992491101923*e))-8)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((((-(2.34496245550961*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((((-(4.68992271148069*e))-8)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322314/(x-1)))+(-21322314)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((((-(4.68992249152695*e))-8)*integrate((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335365 = ((2*(A005152+(-(x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((0.5*differential((A005152+(-(x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((7*(A005152+(-(x^10+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((1.25*differential((A005152+(-(x^10+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((10*(A005152+(-(x^10+x^8+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A338024 = (((-0.2857142857142857)*differential((A005152+(-(x^10+x^8+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-2)*(A005152+(-(x^10+x^8+x^7+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.3333333333333333*differential((A005152+(-(x^10+x^8+x^7+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((2*(A005152+(-(x^10+x^8+x^7+x^6+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.6*differential((A005152+(-(x^10+x^8+x^7+x^6+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((1.5*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-2)*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1666666666666667*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.3333333333333333*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-4)*integrate((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.1666666666666667*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(8/(x-1))+(2/(x-1)^2)+6)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339623 = (((7/2)*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A333469 = (((-1)*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = ((0.1666666666666667*integrate((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((0.1111111111111111*(A005173+(-((-(12*x^2))+(-(13*x))+(-(14/(x-1)))+(-14)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A338024 = (((-0.3333333333333333)*integrate((A005173+(-((-(12*x^2))+(-(13*x))+(-(14/(x-1)))+(-14))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A339623 = (((-0.009259259259259259)*differential((A005173+(-((-(12*x^2))+(-(13*x))+(-(14/(x-1)))+(-14))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.08333333333333333)*(A005173+(-((-(36*x^3))+(-(13*x))+(-(14/(x-1)))+(-14)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = ((1*integrate((A005173+(-((-(36*x^3))+(-(13*x))+(-(14/(x-1)))+(-14))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = (((-0.04166666666666666)*differential((A005173+(-((-(36*x^3))+(-(13*x))+(-(14/(x-1)))+(-14))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.07692307692307693)*(A005173+(-((-(36*x^3))+(-(12*x^2))+(-(14/(x-1)))+(-14)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A329771 = ((1*differential((A005173+(-((-(36*x^3))+(-(12*x^2))+(-(14/(x-1)))+(-14))))))+(3*x^7)+(-(4*x^6))+(-x^5)+(-(2*x^4))+(-(5*x^3))+(-(8*x^2))+(-(11*x))+(-(14/(x-1))))
+A317252 = (((-1)*(A005173+(-((-(36*x^3))+(-(12*x^2))+(-(13*x))+(-(14/(x-1)))))))+(((1/7)*(x^5+(3*x^4)+(5*x^3)+(6*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(-(((3/10)*(x^3+(2*x^2)+(2*x)))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/10)*(x^3-(2*x^2)-(2*x)-4))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(((3/8)*(x^2+(2*x)+1))/(x^4+1)))))+(-(-(-(((1/108)*((35*x)-39))/(x^2+x+1)))))+(-(-(-(((1/32)*((33*x)-4))/(x^2+1)))))+(-(-(-(((11/36)*(x+1))/((x^2-x)+1)))))+(-(-(-(20801/23040/(x+1)))))+(-(-(13982533/483840/(x-1))))+(-(-(((1/8)*x)/(x^2+1)^2)))+(-(1/18/(x^2+x+1)^2))+(-(127/768/(x+1)^2))+(-(560555/24192/(x-1)^2))+(-(5/384/(x+1)^3))+(222953/20160/(x-1)^3)+(625/192/(x-1)^4)+(53/96/(x-1)^5)+(1/24/(x-1)^6))
+A339760 = (((-0.07142857142857142)*integrate((A005173+(-((-(36*x^3))+(-(12*x^2))+(-(13*x))+(-(14/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005183+(-((-(1/(x-1)))+(1/2/((2*x)-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A005183+(-((1/2/((2*x)-1))+(-(1/(x-1))))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = ((1*(A005207+(-((-(((1/2)*((2*x)-1))/((x^2-(3*x))+1)))+(-(1/2/((x^2+x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005207+(-((-(((1/2)*((2*x)-1))/((x^2-(3*x))+1)))+(-(1/2/((x^2+x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A140833 = (((-1)*(A005247+(-(-(1/((x^2+x)-1))))))+(-((x+1)/((x^2+x)-1))))
+A338192 = ((x*(A005247+(-(-((x+1)/(x^2-x-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = (((-1)*differential((A005247+(-(-((x+1)/(x^2-x-1)))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A324487 = (((-3)*A005248)+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((2*((2*x)-1))/((x^2+(4*x))-1))))+(-(-((9*(x+2))/(x^2-x-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A339623 = (((-(7/3))*differential((A005262+(-((-(14/3/((2*x)-1)))+(-(-(1/6/(x+1))))+(-(1/2/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A005286+(-((1/(x-1))+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A005286+(-((1/(x-1))+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A005286+(-((1/(x-1))+(-(1/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A005286+(-((1/(x-1))+(-(1/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337120 = (((-4)*(A005287+(-((-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A005287+(-((-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.5)*(A005287+(-(x^3+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A005287+(-(x^3+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A005287+(-(x^3+(-(2*x^2))+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005287+(-(x^3+(-(2*x^2))+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-7)*differential((A005287+(-(x^3+(-(2*x^2))+(-x)+(-(2/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-54)*(A005287+(-(x^3+(-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-4714)*differential((A005287+(-(x^3+(-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A005287+(-(x^3+(-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A005287+(-(x^3+(-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338024 = (((-2)*(A005288+(-((-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.3333333333333333*differential((A005288+(-((-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.6666666666666666*(A005288+(-(x^6+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.2*differential((A005288+(-(x^6+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((1.5*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((1*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((7/2)*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/5))*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/5))*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(1/(x-1)^6))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(1/(x-1)^6))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(1/(x-1)^6))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((71322*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337962 = ((25024*differential((A005289+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(5/288/(x-1))))+(-(1/32/(x+1)^2))+(-(31/288/(x-1)^2))+(1/2/(x-1)^3)+(37/24/(x-1)^4)+(3/2/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((14*differential((A005308+(-((-(1/4/(x+1)))+(5/4/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A005308+(-((-(1/4/(x+1)))+(5/4/(x-1))+(1/2/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A005308+(-((-(1/4/(x+1)))+(5/4/(x-1))+(1/2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((7*differential((A005313+(-((-(((1/5)*((3*x)-2))/((x^2-(3*x))+1)))+(1/10/(x+1))+(3/2/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A332863 = (((-(1/x))*A005314)+(-(((x^2+(10*x))-5)/(((x^3-x^2)+(2*x))-1)^2))+((2*(((7*x^2)-(8*x))+2))/(((x^3-x^2)+(2*x))-1)^3))
+A339623 = ((7*differential((A000027+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A000027+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = ((3*A000032)+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A338192 = ((1*A000045)+(-(x^2/((x^3+x^2+x)-1))))
+A339760 = ((2*(A000051+(-(-(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000051+(-(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A338192 = ((1*(A000071+(-((1/(x-1))+1))))+(-(x^2/((x^3+x^2+x)-1))))
+A339760 = (((-1)*(A000071+(-((-(x/((x^2+x)-1)))+(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A000071+(-((-(x/((x^2+x)-1)))+(1/(x-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A291039 = ((1*A000071)+(x/((x^3+(2*x))-1)^2))
+A291039 = ((x^(-2)*A000071)+(x/((x^3+(2*x))-1)^2))
+A338192 = ((1*A000073)+(-(x/((x^2+x)-1))))
+A338192 = ((1*A000073)+(-(x/((x^2+x)-1))))
+A298371 = (((-(1/x^3))*A000078)+(-(((x^2+x)-1)/((x^4+x^3+x^2+x)-1)^2)))
+A298371 = (((-(1/x^3))*A000078)+(-(((x^2+x)-1)/((x^4+x^3+x^2+x)-1)^2)))
+A339760 = ((2*A000079)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential(A000079))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A338192 = ((x^2*(A000100+(-(1/((x^2+x)-1)))))+(-(x/((x^2+x)-1))))
+A338192 = (((-x)*(A000100+(-(-(1/((x^3+x^2+x)-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = ((1*differential((A000100+(-(-(1/((x^3+x^2+x)-1)))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A298371 = (((-1)*(A000102+(-(1/((x^3+x^2+x)-1)))))+(-(((x^2+x)-1)/((x^4+x^3+x^2+x)-1)^2)))
+A338192 = (((-x^2)*(A000102+(-(-(1/((x^4+x^3+x^2+x)-1))))))+(-(x/((x^2+x)-1))))
+A339623 = (((-7)*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/2)*differential((A000125+(-((2/(x-1)^3)+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*(A000125+(-((2/(x-1)^2)+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A000125+(-((2/(x-1)^2)+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A000125+(-((2/(x-1)^2)+(2/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000125+(-((2/(x-1)^2)+(2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A308747 = ((1*(A000126+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+(((5*x)+3)/(x^2-x-1))+(-(2/(x-1)))+(-(2/(x-1)^2)))
+A339623 = (((-7)*differential((A000126+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(1/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2))*differential((A000127+(-((-(1/(x-1)))+(-(4/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-36)*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A316937 = (((-2)*(A000128+(-((3/(x-1))+(1/(x-1)^3)))))+(-(13/((2*x)-1))))
+A339623 = (((-14)*(A000128+(-((-(((3*x)+5)/((x^2+x)-1)))+(3/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A000128+(-((-(((3*x)+5)/((x^2+x)-1)))+(3/(x-1)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A309717 = ((1*A000129)+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A309717 = ((1*A000129)+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A309717 = ((1*A000129)+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A339760 = (((-1)*A000178)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate(A000178))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A000207+(-((-(((1/4)*(sqrt(((-(4*x^2))+1))-2))/x))+(-(((1/24)*((((-(4*x))+1)^1.5-(4*sqrt(((-(4*x^3))+1)))-(9*sqrt(((-(4*x^2))+1))))+12))/x^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000207+(-((-(((1/4)*(sqrt(((-(4*x^2))+1))-2))/x))+(-(((1/24)*((((-(4*x))+1)^1.5-(4*sqrt(((-(4*x^3))+1)))-(9*sqrt(((-(4*x^2))+1))))+12))/x^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339610 = ((3*(A000211+(-(-(2/(x-1))))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A339623 = (((-7)*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(2/3/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((54*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(2/3/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((54*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*differential((A000217+(-(-(1/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000217+(-(-(1/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000217+(-(-(1/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*differential((A000217+(-(-(1/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000217+(-(-(1/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000217+(-(-(1/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((2*(A000225+(-(1/(x-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000225+(-(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((1*(A000247+(-((-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-(1/(x-1)^2))+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000247+(-((-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-(1/(x-1)^2))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-2)*(A000247+(-(x+(-(1/(x-1)))+(-(1/(x-1)^2))+1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A000247+(-(x+(-(1/(x-1)))+(-(1/(x-1)^2))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A018918 = (((-1)*(A000253+(-(-(4/((2*x)-1))))))+(1/(x-1)))
+A339760 = ((0.5*(A000253+(-((((2*x^2)-x)+4)/(((x^3-x^2)+(2*x))-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/8))*differential((A000253+(-((((2*x^2)-x)+4)/(((x^3-x^2)+(2*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A295856 = ((1*A000285)+(((4*x)+1)/((2*x^2)-1)))
+A339623 = (((-1)*(A000287+(-((-(-(2*x)))+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A000287+(-((-(-(2*x)))+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A000287+(-((-x^2)+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A000287+(-((-x^2)+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A000287+(-((-x^2)+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))+(-1))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((1*(A000287+(-((-x^2)+(-(-(2*x)))+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000287+(-((-x^2)+(-(-(2*x)))+(-(-(((1/2)*(((-(4*x))+1)^1.5+63))/(x+2)^2)))+(-(-(11/(x+2))))+(-(2/(x+1)))+(-((((-(4*x))+1)^1.5+27)/(x+2)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/3))*differential((A000290+(-((-(1/(x-1)))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A000290+(-((-(1/(x-1)))+(-(3/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A000290+(-((-(1/(x-1)))+(-(3/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*(A000292+(-(1/(x-1)^4))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A000292+(-(1/(x-1)^4)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A000292+(-(1/(x-1)^3))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000292+(-(1/(x-1)^3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-14)*(A000292+(-(1/(x-1)^4))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A000292+(-(1/(x-1)^4)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A000292+(-(1/(x-1)^3))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000292+(-(1/(x-1)^3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((2*(A000295+(-(-(1/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000295+(-(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A000295+(-(-(1/((2*x)-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A000297+(-((-(2/(x-1)^3))+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A000297+(-((1/(x-1)^2)+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A000297+(-((1/(x-1)^2)+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A000297+(-((1/(x-1)^2)+(-(2/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000297+(-((1/(x-1)^2)+(-(2/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((2*(A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((2*(A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/5))*differential((A000326+(-((-(2/(x-1)))+(-(3/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/3)*(A000326+(-((-(2/(x-1)))+(-(5/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((12*differential((A000326+(-((-(2/(x-1)))+(-(5/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*differential((A000330+(-((3/(x-1)^3)+(2/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/3))*(A000330+(-((1/(x-1)^2)+(2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A000330+(-((1/(x-1)^2)+(2/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((54*(A000330+(-((1/(x-1)^2)+(3/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*differential((A000330+(-((1/(x-1)^2)+(3/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/4))*differential((A000332+(-((-(1/(x-1)))+(-(6/(x-1)^3))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-27)*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-2357)*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(4/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(4/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*(A000337+(-((-(1/(x-1)))+(1/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/4)*differential((A000337+(-((-(1/(x-1)))+(1/((2*x)-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A000337+(-((2/((2*x)-1))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((1*differential((A000337+(-((2/((2*x)-1))+(-(1/(x-1))))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-14)*differential((A000340+(-((-(9/4/((3*x)-1)))+(-(3/4/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A000352+(-((-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A000352+(-((-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((2*(A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-14)*differential((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = ((1*(A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-14)*differential((A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-1)*differential((A000384+(-((-(3/(x-1)))+(-(4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A000384+(-((-(3/(x-1)))+(-(7/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A000384+(-((-(3/(x-1)))+(-(7/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/5)*differential((A000389+(-((1/(x-1))+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/5))*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/5))*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((54/5)*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(5/(x-1)^5)+(1/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((4714/5)*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(5/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/5))*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(1/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/25)*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-71322)*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((12512*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*differential((A000392+(-((-(1/6/((3*x)-1)))+(-(1/2/(x-1)))+(-(1/6)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A330170 = ((1*A000400)+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A338153 = (((-1)*A000420)+(-(14*x^2))+(-(2/((4*x)-1)))+(-(2/((2*x)-1)))+(-(5/(x-1)))+(-2))
+A339623 = (((7/2)*differential((A000439+(-((-(-(3/(x-1)^3)))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/3))*(A000439+(-((2/(x-1)^2)+(-(3/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A000439+(-((2/(x-1)^2)+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-36)*(A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A000439+(-((2/(x-1)^2)+(-(-(3/(x-1)^3)))+(-(3/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/9)*differential((A000447+(-((1/(x-1))+(16/(x-1)^3)+(8/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/8))*(A000447+(-((1/(x-1))+(9/(x-1)^2)+(8/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/4))*differential((A000447+(-((1/(x-1))+(9/(x-1)^2)+(8/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/2)*(A000447+(-((1/(x-1))+(9/(x-1)^2)+(16/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/2)*differential((A000447+(-((1/(x-1))+(9/(x-1)^2)+(16/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A000460+(-((-(1/((3*x)-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = (((-1)*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-7)*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337120 = ((4*(A000478+(-((-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A000478+(-((-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((1*(A000478+(-((-x^3)+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A000478+(-((-x^3)+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337631 = (((-4)*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-7)*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/6)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A000486+(-((-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(1/(x-1)^2)+(19/8)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000486+(-((-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(1/(x-1)^2)+(19/8))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A337631 = (((-4)*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(1/(x-1)^2)+(19/8))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = ((7*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(19/8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = (((-1)*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-7)*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337631 = ((4*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = ((7*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(1/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-108)*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A000533+(-((-(1/((10*x)-1)))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000533+(-((-(1/((10*x)-1)))+(-(1/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-7)*differential((A000537+(-((-(7/(x-1)^3))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((2*(A000537+(-((-(1/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/7)*differential((A000537+(-((-(1/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-9)*(A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2))*integrate((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/3))*differential((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*(A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(12/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(12/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-7)*differential((A000539+(-((-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/31)*(A000539+(-((-(1/(x-1)^2))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/31)*differential((A000539+(-((-(1/(x-1)^2))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(3/5))*(A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/30))*integrate((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/45))*differential((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(390/(x-1)^5))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/195)*(A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(360/(x-1)^6))+(-(120/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/325))*differential((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(360/(x-1)^6))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/60)*(A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(120/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/9))*integrate((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/45))*differential((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(120/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((3128/5)*(A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/10))*integrate((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/28))*differential((A000539+(-((-(1/(x-1)^2))+(-(31/(x-1)^3))+(-(180/(x-1)^4))+(-(390/(x-1)^5))+(-(360/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = ((7*differential((A000540+(-((63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(2/9))*(A000540+(-((1/(x-1)^2)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(4/7))*differential((A000540+(-((1/(x-1)^2)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((54/301)*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((4714/301)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(9428/525))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(36/175))*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/1750)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/560))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/42)*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/105)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(3128/105))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/70)*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((459/196)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/8))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((103/64)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-7)*differential((A000541+(-((-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/127)*(A000541+(-((-(1/(x-1)^2))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/127)*differential((A000541+(-((-(1/(x-1)^2))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/161))*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/46))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/483))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/5103)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/8505))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/4200)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/315))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(782/1575))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/665)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/2660))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/7448))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((459/224)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/15))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/1792))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((103/56)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(459/7))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(39325/6))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((-(7/22))*differential((A000543+(-((-(1/(x-1)))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/144)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/8)*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/1985))*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/1985))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/871)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((54/871)*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/17420))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/2205)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/1323))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/6615))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/1155)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/385))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/1078))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((153/28)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(3128/45))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/672))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((309/56)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(1377/7))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(39325/2))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((-(7/95))*differential((A000545+(-((-(1/(x-1)))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4454)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2227)*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(54/126911))*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(4714/126911))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/1502129)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/7510645))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/3107209)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(368/548331))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/5715439)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5715439))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6885/80016146))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((85/328328)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/474903))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(515/70918848))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((515/13421408)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(2295/1677676))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((5/4)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337962 = (((-(309/880880))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((5/4)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(1375/68))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(15/374))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(51891840/(x-1)^12))+(-(7983360/(x-1)^13)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((5/4)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(7983360/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((-(935/24))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(7983360/(x-1)^13)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(5/312))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(7983360/(x-1)^13)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A337406 = (((5/4)*(A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A337406 = (((-(195/2))*integrate((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A323972 = (((-(31/1572480))*differential((A000545+(-((-(1/(x-1)))+(-(95/(x-1)^2))+(-(8908/(x-1)^3))+(-(253822/(x-1)^4))+(-(3004258/(x-1)^5))+(-(18643254/(x-1)^6))+(-(68585268/(x-1)^7))+(-(159567408/(x-1)^8))+(-(241585344/(x-1)^9))+(-(237837600/(x-1)^10))+(-(147026880/(x-1)^11))+(-(51891840/(x-1)^12)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A335365 = ((0.2857142857142857*(A000549+(-((-((1/2)*x^11))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((0.07142857142857142*differential((A000549+(-((-((1/2)*x^11))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((1*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((0.1555555555555556*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((0.2380952380952381*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((1.428571428571429*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A338024 = (((-0.04081632653061224)*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.3333333333333333)*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.05555555555555555*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.375*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.125)*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-0.6666666666666666)*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.05555555555555555*differential((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))+(-8))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A324632 = ((1*(A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1)))))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1))))
+A339760 = (((-0.125)*integrate((A000549+(-((-((1/2)*x^11))+(-(-(7*x^10)))+(-(-(5*x^9)))+(-(-((21/4)*x^8)))+(-(-(7*x^7)))+(-(-(6*x^6)))+(-(-((13/2)*x^5)))+(-(-(8*x^4)))+(-(-(6*x^3)))+(-(-((29/4)*x^2)))+(-(-((57/8)*x)))+(-(-(((1/16)*((204*x^4)+(165*x^3)+(154*x^2)+(129*x)+122))/((2*x^5)-1))))+(-(((1/16)*(((4*x^4)-(5*x^3)-(6*x^2))+x+6))/((2*x^5)+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.25)*(A000561+(-((-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)+(27/(x-1)^4)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A000561+(-((-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)+(27/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.09090909090909091)*(A000561+(-((-(4*x^2))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)+(27/(x-1)^4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335411 = (((-1)*differential((A000561+(-((-(4*x^2))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)+(27/(x-1)^4))))))+(-(((12/5)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1)))+(-(((12/5)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))+(-(28/5/(x+1)))+(-(73/5/(x-1)))+(-(3/(x+1)^2))+(-(15/(x-1)^2))+(-(6/(x-1)^3)))
+A339623 = (((7/128)*differential((A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(99/(x-1)^3)+(27/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/99))*(A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(27/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(4/11))*differential((A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(27/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((4*(A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/9)*integrate((A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/27)*differential((A000561+(-((-(4*x^2))+(-(11*x))+(56/(x-1))+(128/(x-1)^2)+(99/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338024 = ((1.5*(A000562+(-((-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A000562+(-((-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.6666666666666666*(A000562+(-((2*x^4)+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.05555555555555555)*differential((A000562+(-((2*x^4)+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.04)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.02)*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.02)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.04)*integrate((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A268251 = ((1*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(2*x))+(-(-(((1/4)*((485*x)+49))/(x^2+(10*x)+1))))+(-(-(((3/4)*((485*x)-49))/((x^2-(10*x))+1))))+(-(1/4/(x+1)))+(-(3/4/(x-1))))
+A339623 = (((-(7/767))*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/402)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/67)*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(4/15))*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/135))*integrate((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/405))*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/81)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/135))*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338024 = (((-0.375)*(A000563+(-((-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.125*differential((A000563+(-((-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.09523809523809523*(A000563+(-((-(8*x^4))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.007936507936507936)*differential((A000563+(-((-(8*x^4))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.007042253521126761)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.00352112676056338)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.003937007874015748)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.007874015748031496)*integrate((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A145715 = ((1*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-((254*((2029*x)-1))/((x^2-(2030*x))+1))))
+A339623 = (((7/4631)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2937))*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(6/979))*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((1/38)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/684)*integrate((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/1026)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/1539))*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(243/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((23774/2565)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(243/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/81))*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((12512/243)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338024 = (((-1)*(A000564+(-((-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.1666666666666667*differential((A000564+(-((-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.2)*(A000564+(-((2*x^6)+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.06)*differential((A000564+(-((2*x^6)+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.046875)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.015625*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.01433691756272401*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.001194743130227001)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.001223990208078335)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((((-(6.11995104039168*E))-4)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((((-(7.24112961622013*E))-4)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(1/4047))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/40987)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/40987)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(4/1311))*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/11799))*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/35397))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((9428/4671)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((4/173)*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/15570))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((23774/1863)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(729/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(544/243))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(729/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/243)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(170/21))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A338024 = ((0.1666666666666667*(A000565+(-((-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.02777777777777778)*differential((A000565+(-((-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.02222222222222222)*(A000565+(-((-(12*x^6))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.1333333333333333*integrate((A000565+(-((-(12*x^6))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.006666666666666667)*differential((A000565+(-((-(12*x^6))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.006355932203389831)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.00211864406779661*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.002225932109070673*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((((-(1.85494342422556*E))-4)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((((-(2.07813798836243*E))-4)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = ((0.002493765586034913*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((((-(1.03906899418121*E))-4)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((((-(1.2721027859051*E))-4)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/175643)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/279857))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/279857))*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((12/31219)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/93657)*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/280971)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(9428/46467))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(4/1721))*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/154890)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/13176))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((782/4941)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(25024/6561))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(2187/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((170/567)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(2187/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(170/9))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((515/972)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-(7/9))*differential((A000566+(-((-(4/(x-1)))+(-(5/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/5)*(A000566+(-((-(4/(x-1)))+(-(9/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A000566+(-((-(4/(x-1)))+(-(9/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/11))*differential((A000567+(-((-(5/(x-1)))+(-(6/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A000567+(-((-(5/(x-1)))+(-(11/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A000567+(-((-(5/(x-1)))+(-(11/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2))*differential((A000574+(-((-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^5)+(1/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/5)*(A000574+(-((-(2/(x-1)^2))+(-(3/(x-1)^4))+(1/(x-1)^5)+(1/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A000574+(-((-(2/(x-1)^2))+(-(3/(x-1)^4))+(1/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-36)*(A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(1/(x-1)^5)+(1/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(1/(x-1)^5)+(1/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(1/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-37712)*(A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/5)*differential((A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-71322)*(A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((12512*differential((A000574+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(1/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18768*(A000575+(-((-(3/(x-1)^8))+(-(2/(x-1)^9))+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/14))*differential((A000575+(-((-(3/(x-1)^8))+(-(2/(x-1)^9))+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = ((13770*(A000575+(-((-(4/(x-1)^7))+(-(2/(x-1)^9))+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(1545/4))*differential((A000575+(-((-(4/(x-1)^7))+(-(2/(x-1)^9))+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = ((4635*(A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-16516500)*differential((A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(1/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-297297000)*(A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(-(2/(x-1)^9))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((18378360*differential((A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(-(2/(x-1)^9)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = ((1*differential((A000578+(-((1/(x-1))+(12/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A000578+(-((1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A000578+(-((1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/6))*differential((A000579+(-((-(1/(x-1)))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/15)*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((12/5)*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/5))*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/5))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/15)*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/25))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((11887*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/3))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((75072*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(41310/7))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = ((1*differential((A000580+(-((1/(x-1))+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(2/3))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(12/7))*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/35)*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/35)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/35))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/175)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/7))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(7/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((12512/21)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(7/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(75072/7))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((41310/49)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-41310)*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/4)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-(7/8))*differential((A000581+(-((-(1/(x-1)))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/2)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/7)*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/14))*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/14))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/35)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/175))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/28)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/7))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18768/7)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/98))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((20655/4)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(4635/32))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = ((9270*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-33033000)*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((7/9)*differential((A000582+(-((1/(x-1))+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/18))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-1)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((9/7)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((1/2)*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/21)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/63))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/105)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/21))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/63)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/7))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/7)*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6885/98)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(2295/2))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(9/(x-1)^9)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((515/16)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-1030)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((11011000/3)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(1/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-297297000)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((18378360*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((7/31)*differential((A000584+(-((1/(x-1))+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/90))*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/5))*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/65)*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/65)*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/195)*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/45))*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(6/5))*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/300)*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A279876 = ((10*(A000689+(-((-(5/(x-1)))+(-5)))))+(256*x^8)+(-(-(64*x^3)))+(-(-(16*x^2)))+(-(4*x))+(-(1/((2*x)+1)))+(-(1/((2*x)-1)))+(47/2/(x+1))+(25/2/(x-1)))
+A336867 = ((1*(A000689+(-((-(((3*x)-1)/(x^2+1)))+(-(5/(x-1)))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A000689+(-((-(((3*x)-1)/(x^2+1)))+(-(5/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A279876 = ((10*(A000689+(-((-(5/(x-1)))+(-5)))))+(256*x^8)+(-(-(64*x^3)))+(-(-(16*x^2)))+(-(4*x))+(-(1/((2*x)+1)))+(-(1/((2*x)-1)))+(47/2/(x+1))+(25/2/(x-1)))
+A336867 = ((1*(A000689+(-((-(((3*x)-1)/(x^2+1)))+(-(5/(x-1)))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A000689+(-((-(((3*x)-1)/(x^2+1)))+(-(5/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A000774+(-1)))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000774+(-1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*(A000774+(-x)))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A000774+(-x))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A308726 = ((0.3333333333333333*(A000777+(-((((1/2)*(sqrt(((-(4*x))+1))-1))/(x*sqrt(((-(4*x))+1))))+(1/(x-1))))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A338024 = (((-0.07317073170731707)*(A000804+(-((-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.02439024390243903*differential((A000804+(-((-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-0.1739130434782609)*(A000804+(-((-(41*x^4))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.01449275362318841*differential((A000804+(-((-(41*x^4))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.09090909090909091*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.04545454545454546*differential((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A324632 = (((-1)*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A324632 = (((-1)*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-(1/(x+1)))+(-(2/(x-1)))+(-15)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A338532 = ((1*(A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1)))))))+(-(((((1536*x^3)-(5857*x^2))+(1424*x))-15)/((((x^4-(95*x^3))+(384*x^2))-(95*x))+1))))
+A339760 = (((-0.06666666666666667)*integrate((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-(2/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.02)*(A000855+(-((-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-(50/(x-1)))+(-75)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.04)*integrate((A000855+(-((-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-(50/(x-1)))+(-75))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A268251 = ((1*differential((A000855+(-((-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-(50/(x-1)))+(-75))))))+(-(2*x))+(-(-(((1/4)*((485*x)+49))/(x^2+(10*x)+1))))+(-(-(((3/4)*((485*x)-49))/((x^2-(10*x))+1))))+(-(1/4/(x+1)))+(-(3/4/(x-1))))
+A296786 = (((-0.5)*(A000855+(-((-(50*x))+(-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-(50/(x-1)))+(-75)))))+x^6+(-(-(-x^5)))+(-(-(-x^4)))+(-(-(-(2*x^3))))+(-(-(-(2*x^2))))+(-(-(3*x)))+(-(7/4/(x+1)))+(-(1/4/(x-1)))+(-(1/(x^2+1)^2))+(-(1/4/(x+1)^2))+(3/4/(x-1)^2))
+A339760 = (((-0.01333333333333333)*integrate((A000855+(-((-(50*x))+(-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-(50/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/30))*differential((A000910+(-((-(5/(x-1)))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/75)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((12/25)*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/25))*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/25))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/75)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/125))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/5)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/3))*integrate((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/15))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((75072/5)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(8262/7))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A319200 = ((1*(A000913+(-((-(((1/4)*(sqrt(((-(4*x))+1))-2))/x^2))+(-(((1/8)*(((2*sqrt(((-(4*x^4))+1)))-(3*sqrt(((-(4*x^2))+1))))+sqrt(((-(4*x))+1))))/x^3))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A147316 = (((-1)*differential((A000913+(-((-(((1/4)*(sqrt(((-(4*x))+1))-2))/x^2))+(-(((1/8)*(((2*sqrt(((-(4*x^4))+1)))-(3*sqrt(((-(4*x^2))+1))))+sqrt(((-(4*x))+1))))/x^3)))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A339623 = ((14*(A000914+(-((-(4/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000914+(-((-(4/(x-1)^4))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-27)*(A000914+(-((-(1/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-2357)*differential((A000914+(-((-(1/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A000914+(-((-(1/(x-1)^3))+(-(4/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A000914+(-((-(1/(x-1)^3))+(-(4/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A000915+(-((-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A000915+(-((-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/13)*(A000915+(-((-(1/(x-1)^5))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/13))*differential((A000915+(-((-(1/(x-1)^5))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37536/65)*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4131/91))*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((1377/7)*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/5))*integrate((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(309/56))*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((618/7)*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-314600)*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339760 = ((2*(A000918+(-(2/(x-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000918+(-(2/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((2*(A000918+(-(2/(x-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A000918+(-(2/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((0.1666666666666667*(A000919+(-((-(4/((4*x)-1)))+(-(12/((3*x)-1)))+(4/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/24))*differential((A000919+(-((-(4/((4*x)-1)))+(-(12/((3*x)-1)))+(4/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A330170 = ((1*(A000920+(-((-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1))+1))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A339760 = ((0.1333333333333333*(A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(6/(x-1))+1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/30))*differential((A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(6/(x-1))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A216714 = (((-1)*A000931)+(-((1/2)*x^4))+(-((3/4)*x^3))+(-((1/8)*x^2))+(-((1/16)*x))+(-(1/32/((2*x)-1)))+(31/32))
+A339623 = (((-1)*(A000933+(-((-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A000933+(-((-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A000933+(-((-x^2)+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000933+(-((-x^2)+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*(A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*(A000933+(-((-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A000933+(-((-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A000933+(-((-x^2)+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A000933+(-((-x^2)+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*(A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-7)*differential((A000957+(-((-(3/(x-1)))+(-2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = ((1*(A000957+(-((-(3/(x-1)))+(-(1/(x-1)^2))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A000957+(-((-(3/(x-1)))+(-(1/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.3333333333333333)*(A000970+(-((-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = ((1*differential((A000970+(-((-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339623 = (((-(7/57))*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(35661/8))*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-14))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A317252 = (((-1)*(A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))))))+(((1/7)*(x^5+(3*x^4)+(5*x^3)+(6*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(-(((3/10)*(x^3+(2*x^2)+(2*x)))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/10)*(x^3-(2*x^2)-(2*x)-4))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(((3/8)*(x^2+(2*x)+1))/(x^4+1)))))+(-(-(-(((1/108)*((35*x)-39))/(x^2+x+1)))))+(-(-(-(((1/32)*((33*x)-4))/(x^2+1)))))+(-(-(-(((11/36)*(x+1))/((x^2-x)+1)))))+(-(-(-(20801/23040/(x+1)))))+(-(-(13982533/483840/(x-1))))+(-(-(((1/8)*x)/(x^2+1)^2)))+(-(1/18/(x^2+x+1)^2))+(-(127/768/(x+1)^2))+(-(560555/24192/(x-1)^2))+(-(5/384/(x+1)^3))+(222953/20160/(x-1)^3)+(625/192/(x-1)^4)+(53/96/(x-1)^5)+(1/24/(x-1)^6))
+A339760 = (((-0.07142857142857142)*integrate((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338588 = ((108*(A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(16/3/(x-1)^5)+(16/3/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(16/3/(x-1)^5)+(16/3/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((2346*differential((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(1/(x-1)^4)+(16/3/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-0.25)*(A000972+(-((-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A000972+(-((-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.03333333333333333)*(A000972+(-((-(4*x^2))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.06666666666666667)*integrate((A000972+(-((-(4*x^2))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A335365 = (((-1)*differential((A000972+(-((-(4*x^2))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+(2*x^10)+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2))
+A339623 = (((-(7/715))*differential((A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/793)*(A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/793)*differential((A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))+(-132))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(20655/32))*differential((A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-132))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A304511 = ((1*(A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7))))))+(-(318/((2*x)-1)))+(-(186/(x-1))))
+A339760 = (((-0.007575757575757576)*integrate((A000972+(-((-(4*x^2))+(-(30*x))+(-(((1/49)*((x^5+(2*x^4)+(3*x^3))-(3*x^2)-(2*x)-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(21020/49/(x-1)))+(-(715/(x-1)^2))+(-(793/(x-1)^3))+(-(4089/7/(x-1)^4))+(-(1928/7/(x-1)^5))+(-(528/7/(x-1)^6))+(-(64/7/(x-1)^7)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A000973+(-((15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A000973+(-((15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.06666666666666667*(A000973+(-(x^3+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-0.8)*integrate((A000973+(-(x^3+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.03333333333333333*differential((A000973+(-(x^3+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.0101010101010101*(A000973+(-(x^3+(15*x^2)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A228537 = ((1*differential((A000973+(-(x^3+(15*x^2)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+((99*((39207*x)-1))/((x^2-(39206*x))+1)))
+A339623 = (((1/364)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/226))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/791))*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/688)*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/688)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/1649))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/8245)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/325))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/65)*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/325)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(9384/19))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(16/(x-1)^8)+429))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((20655/532)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(16/(x-1)^8)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/8))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+429))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/64)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+429)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A208642 = ((1*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)))))+(8*x^4)+(-(-(-(-(56*x^3)))))+(-(-(-(-(181*x^2)))))+(-(-(-(-(350*x)))))+(-(-(-(-(858/((2*x)-1))))))+(-(-(-(792/(x-1)))))+(-(-(-(330/(x-1)^2))))+(-(-(120/(x-1)^3)))+(-(-(36/(x-1)^4)))+(-(8/(x-1)^5))+(-(1/(x-1)^6)))
+A339760 = ((0.002331002331002331*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(14/3))*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/3))*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/3))*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/9))*differential((A001014+(-((-(1/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/43)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/301)*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/175))*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/50))*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/525))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/210)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/70)*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/2800))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/420)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/63))*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/315))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((7/127)*differential((A001015+(-((1/(x-1))+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/138))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(3/161))*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((2/189)*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((1/243)*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/5103)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/1575))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(3/175))*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/21000)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(31920/(x-1)^6)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5320))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(20160/(x-1)^7)+(5040/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/399)*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((782/1995)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(20160/(x-1)^7)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/105))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(5040/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/560)*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((459/1568)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(5040/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*(A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*integrate((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((103/448)*differential((A001015+(-((1/(x-1))+(127/(x-1)^2)+(1932/(x-1)^3)+(10206/(x-1)^4)+(25200/(x-1)^5)+(31920/(x-1)^6)+(20160/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-(7/255))*differential((A001016+(-((-(1/(x-1)))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3025)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/3025)*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(3/1295))*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/1110))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/11655))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/20853)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((6/2317)*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/139020))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/52920)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/3969))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(782/19845))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((782/3465)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/9240))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(153/8624))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((51/224)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/135))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/16128))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((103/448)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(459/56))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(39325/48))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((1/73)*differential((A001017+(-((1/(x-1))+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/9330))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(3/1555))*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/34105)*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/34105)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/102315)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/127575))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(2/4725))*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/850500)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/456540))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/68481)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/342405)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/22050))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/117600)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((153/109760)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(153/14000))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((782/5625)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((103/336000)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(103/20160))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((51/280)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((7865/432)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(39325/48))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337962 = (((103/448)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((2431/48)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A338154 = ((1*A001019)+(-(24*x^2))+(-((2*((7*x)-2))/(((9*x^2)-(7*x))+1)))+(-(5/(x-1)))+(-2))
+A333385 = ((2*A001026)+(-(1/((3*x)-1))))
+A334991 = ((3*A001027)+(-(1/((4*x)-1))))
+A339760 = (((-2)*(A001047+(-(-(1/((3*x)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A001047+(-(-(1/((3*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-7)*differential((A001048+(-((-(1/(x-1)))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A001048+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001048+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335649 = ((1*A001075)+(-(((1/6)*((7*x)-1))/((x^2-(14*x))+1)))+(-(5/6/(x-1))))
+A324487 = ((2*A001077)+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((3*((3*x)-2))/((x^2-(3*x))+1))))+(-(-((9*(x+2))/(x^2-x-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A087799 = (2*A001079)
+A077412 = ((1/3/x)*A001080)
+A090727 = (2*A001081)
+A075844 = (2*A001084)
+A090728 = (2*A001085)
+A291033 = ((6/x)*A001090)
+A248833 = ((5*A001091)+(-(5/(x-1))))
+A339623 = ((1*differential((A001093+(-((12/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A001093+(-((7/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A001093+(-((7/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A001093+(-((7/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A001093+(-((7/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A001093+(-((7/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/95))*differential((A001094+(-((-(23/(x-1)))+(-(144/(x-1)^3))+(-(96/(x-1)^4))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/72)*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(96/(x-1)^4))+(-(24/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/4)*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(96/(x-1)^4))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/8))*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/16))*integrate((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/24))*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/601)*differential((A001095+(-((121/(x-1))+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/600))*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(3/100))*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((9/100)*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/200)*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/300)*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/75))*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(18/25))*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/500)*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(1/617))*differential((A001096+(-((-(719/(x-1)))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/5400)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/300)*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(3/400))*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2400))*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/3600))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/675)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((1/25)*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/9000))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/720)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/54))*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/135))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/6))*differential((A001105+(-((-(2/(x-1)))+(-(4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A001105+(-((-(2/(x-1)))+(-(6/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A001105+(-((-(2/(x-1)))+(-(6/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/13))*differential((A001106+(-((-(6/(x-1)))+(-(7/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((2*(A001106+(-((-(6/(x-1)))+(-(13/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/7)*differential((A001106+(-((-(6/(x-1)))+(-(13/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/15))*differential((A001107+(-((-(7/(x-1)))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A001107+(-((-(7/(x-1)))+(-(15/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A001107+(-((-(7/(x-1)))+(-(15/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A277662 = (((1/x)*A001109)+((3*x^3)/((x^2-(6*x))+1)^2.5)+(-((4*x^2)/((x^2-(6*x))+1)^2.5))+(((3*x)-1)/((x^2-(6*x))+1)^2)+((3*x)/((x^2-(6*x))+1)^2.5))
+A339760 = ((0.6666666666666666*(A001117+(-((-(1/((3*x)-1)))+(-(3/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/6))*differential((A001117+(-((-(1/((3*x)-1)))+(-(3/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((0.2*(A001118+(-((-(1/((5*x)-1)))+(-(-(5/((4*x)-1))))+(-(-(10/((3*x)-1))))+(-(5/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/20))*differential((A001118+(-((-(1/((5*x)-1)))+(-(-(5/((4*x)-1))))+(-(-(10/((3*x)-1))))+(-(5/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A133570 = ((0.5*(A001148+(-(-(5/(x-1))))))+(-x)+(-((2*x)/(x^2+1)^2))+5)
+A339760 = (((-1)*(A001204+(-((((1/25)*(((32*x^3)+(21*x^2))-(8*x)-5))/(x^4+x^3+x^2+x+1))+(-(((3/5)*((7*x^3)+(13*x^2)+(13*x)+7))/(x^4+x^3+x^2+x+1)^2))+(-(32/25/(x-1)))+(18/25/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001204+(-((((1/25)*(((32*x^3)+(21*x^2))-(8*x)-5))/(x^4+x^3+x^2+x+1))+(-(((3/5)*((7*x^3)+(13*x^2)+(13*x)+7))/(x^4+x^3+x^2+x+1)^2))+(-(32/25/(x-1)))+(18/25/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A324487 = (((-3)*(A001254+(-(2/(x+1)))))+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((2*((2*x)-1))/((x^2+(4*x))-1))))+(-(-((9*(x+2))/(x^2-x-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A339623 = (((-(7/10))*differential((A001287+(-((-(1/(x-1)))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/45)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((4/5)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/10))*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/20))*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/30))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/105)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/175))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/42)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(3128/63))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((12512/35)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/35))*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/49))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((1377/4)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(309/32))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = ((206*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-(2202200/3))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((29729700*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(1/(x-1)^11))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-1837836)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(1/(x-1)^11)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((183783600*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-5896800)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A339623 = (((7/11)*differential((A001288+(-((1/(x-1))+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/55))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/55))*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((36/55)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/55)*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/165)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/165))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/275)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/77))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/231)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/77))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/77)*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6885/539)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/11))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((309/88)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(618/11))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = ((200200*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-5405400)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((334152*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-16707600)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(1/(x-1)^12)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((5896800/11)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(1/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((-64864800)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = ((831600*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A339623 = ((7*(A001296+(-((-(5/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A001296+(-((-(5/(x-1)^4))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/5))*(A001296+(-((-(2/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/5))*differential((A001296+(-((-(2/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A001296+(-((-(2/(x-1)^3))+(-(5/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A001296+(-((-(2/(x-1)^3))+(-(5/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-18)*(A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*integrate((A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/3))*differential((A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/13)*(A001297+(-((-(6/(x-1)^4))+(-(35/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/65))*differential((A001297+(-((-(6/(x-1)^4))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/35)*(A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/7))*integrate((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/35))*differential((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/5)*(A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(35/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/7))*differential((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(35/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A001298+(-((-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A001298+(-((-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A001298+(-((-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/77)*(A001298+(-((-(24/(x-1)^5))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/77))*differential((A001298+(-((-(24/(x-1)^5))+(-(340/(x-1)^7))+(-(315/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1104/5)*(A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(315/(x-1)^8))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(243/14))*differential((A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(315/(x-1)^8))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((918/7)*(A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(105/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(25024/15))*integrate((A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/28))*differential((A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((618/7)*(A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-314600)*differential((A001298+(-((-(24/(x-1)^5))+(-(154/(x-1)^6))+(-(340/(x-1)^7))+(-(315/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A338588 = (((-108)*(A001303+(-((-(11/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A001303+(-((-(11/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/11)*(A001303+(-((-(1/(x-1)^4))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/55))*differential((A001303+(-((-(1/(x-1)^4))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/25)*(A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/5))*integrate((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/25))*differential((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/5)*(A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(25/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/7))*differential((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(25/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))
+A056205 = (None*integrate((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))
+A056205 = (None*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))
+A056205 = (None*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))
+A056205 = (None*integrate((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))
+A293004 = ((1*A001333)+(1/(x-1)))
+A339610 = ((3*(A001350+(-((-(1/(x+1)))+(1/(x-1))))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A291182 = (((2/3/x)*(A001352+(-1)))+(-(1/((x^2-(3*x))+1))))
+A339760 = (((-1)*(A001352+(-((6*x)/((x^2-(4*x))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001352+(-((6*x)/((x^2-(4*x))+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A291182 = (((4/x)*A001353)+(-(1/((x^2-(3*x))+1))))
+A335551 = (((1/7/x)*(A001354+(-1)))+(1/(((x^3-(2*x^2))+(3*x))-1)))
+A339760 = (((-1)*(A001354+(-((7*x)/((x^2-(3*x))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001354+(-((7*x)/((x^2-(3*x))+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A330051 = ((0.1428571428571428*(A001360+(-(6/(x-1)))))+(((1/2)*((2*x)+3))/((x^2+x)-1))+(-(((1/2)*((2*x)+1))/(x^2-x-1)))+(-(1/(x-1))))
+A339623 = (((-(7/9120))*differential((A001361+(-((-(241/(x-1)))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/8040)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/9380)*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(1/5840))*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/105120))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/157680))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/117180)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((1/4340)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/1562400))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/527040)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/39528))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/98820))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/15840)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/84480))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(153/78848))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((17/640)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(328320/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(103/138240))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((103/3648)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(153/152))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(275275/2736))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339760 = ((1*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A001445+(-((-((3/2)*x))+(-(((1/2)*(x+1))/((2*x^2)-1)))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((1*(A001445+(-((-((3/2)*x))+(-(((1/2)*(x+1))/((2*x^2)-1)))+(-(1/2/((2*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001445+(-((-((3/2)*x))+(-(((1/2)*(x+1))/((2*x^2)-1)))+(-(1/2/((2*x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A001446+(-((-((5/2)*x))+(-(-(1/2/((4*x)-1))))+(-(1/8/((2*x)+1)))+(-(3/8/((2*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001446+(-((-((5/2)*x))+(-(-(1/2/((4*x)-1))))+(-(1/8/((2*x)+1)))+(-(3/8/((2*x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((7*differential((A001477+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*differential((A001478+(-(-(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*differential((A001489+(-(-(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((108*(A001496+(-((20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A001496+(-((20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(9428/5))*(A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(108/5))*integrate((A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/50)*differential((A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/86))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((3128/43)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4692/41))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((20655/2296)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/604))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/4832)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(1545/176))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((6885/22)*integrate((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((125125/4)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(3378375/4))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((208845/4)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((7/204)*differential((A001505+(-((6/(x-1))+(576/(x-1)^3)+(384/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/288))*(A001505+(-((6/(x-1))+(204/(x-1)^2)+(384/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/16))*differential((A001505+(-((6/(x-1))+(204/(x-1)^2)+(384/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((9/32)*(A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/64)*integrate((A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/96)*differential((A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A001511+(-(-(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001511+(-(-(1/(x-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/3000))*differential((A001512+(-((-(24/(x-1)))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/9000)*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/500)*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/2500))*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/5000))*integrate((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/7500))*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/1875)*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((18/625)*integrate((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/12500))*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/72))*differential((A001513+(-((-(5/(x-1)))+(-(72/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/36)*(A001513+(-((-(5/(x-1)))+(-(72/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/2)*differential((A001513+(-((-(5/(x-1)))+(-(72/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A331347 = ((1*A001519)+x+(3/(x-1))+(1/(x-1)^2)+1)
+A331347 = ((1*A001519)+x+(3/(x-1))+(1/(x-1)^2)+1)
+A339623 = (((7/678)*differential((A001520+(-((15/(x-1))+(1944/(x-1)^3)+(1296/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/972))*(A001520+(-((15/(x-1))+(678/(x-1)^2)+(1296/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/54))*differential((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1296/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((1/12)*(A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/216)*integrate((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((2357/324)*differential((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/162))*differential((A001534+(-((-(8/(x-1)))+(-(162/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/81)*(A001534+(-((-(8/(x-1)))+(-(162/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((2/9)*differential((A001534+(-((-(8/(x-1)))+(-(162/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/200))*differential((A001535+(-((-(9/(x-1)))+(-(200/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/100)*(A001535+(-((-(9/(x-1)))+(-(200/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/50)*differential((A001535+(-((-(9/(x-1)))+(-(200/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/288))*differential((A001538+(-((-(11/(x-1)))+(-(288/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/144)*(A001538+(-((-(11/(x-1)))+(-(288/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/8)*differential((A001538+(-((-(11/(x-1)))+(-(288/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/32))*differential((A001539+(-((-(3/(x-1)))+(-(32/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/16)*(A001539+(-((-(3/(x-1)))+(-(32/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/8)*differential((A001539+(-((-(3/(x-1)))+(-(32/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A302946 = ((2*A001541)+(-(2/(x+1)))+(-4))
+A277662 = (((1/2/x)*A001542)+((3*x^3)/((x^2-(6*x))+1)^2.5)+(-((4*x^2)/((x^2-(6*x))+1)^2.5))+(((3*x)-1)/((x^2-(6*x))+1)^2)+((3*x)/((x^2-(6*x))+1)^2.5))
+A339623 = (((-(7/19200))*differential((A001546+(-((-(105/(x-1)))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/58752)*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((1/3264)*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/16384))*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/32768))*integrate((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/49152))*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/6144)*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/2048)*integrate((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/81920))*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((1/210)*differential((A001547+(-((90/(x-1))+(3430/(x-1)^3)+(2058/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/245))*(A001547+(-((90/(x-1))+(1470/(x-1)^2)+(2058/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/1715))*differential((A001547+(-((90/(x-1))+(1470/(x-1)^2)+(2058/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/343)*(A001547+(-((90/(x-1))+(1470/(x-1)^2)+(3430/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((1/49)*integrate((A001547+(-((90/(x-1))+(1470/(x-1)^2)+(3430/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/1029)*differential((A001547+(-((90/(x-1))+(1470/(x-1)^2)+(3430/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((2*(A001550+(-((-(1/((3*x)-1)))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A001550+(-((-(1/((3*x)-1)))+(-(1/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((1/112)*differential((A001561+(-((8/(x-1))+(2744/(x-1)^3)+(2058/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/196))*(A001561+(-((8/(x-1))+(784/(x-1)^2)+(2058/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/686))*differential((A001561+(-((8/(x-1))+(784/(x-1)^2)+(2058/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/343)*(A001561+(-((8/(x-1))+(784/(x-1)^2)+(2744/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((1/49)*integrate((A001561+(-((8/(x-1))+(784/(x-1)^2)+(2744/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/1029)*differential((A001561+(-((8/(x-1))+(784/(x-1)^2)+(2744/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A094347 = (2*(A001570+(-(-1))))
+A339760 = ((1*(A001570+(-(-(((13*x)-1)/((x^2-(14*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001570+(-(-(((13*x)-1)/((x^2-(14*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A330170 = ((1*(A001579+(-((-(1/((5*x)-1)))+(-(1/((3*x)-1)))))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A339760 = ((2*(A001580+(-((-(1/(x-1)))+(-(3/(x-1)^2))+(-(2/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A001580+(-((-(1/(x-1)))+(-(3/(x-1)^2))+(-(2/(x-1)^3)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/3))*differential((A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((1*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(12/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338192 = (((1/2)*(A001588+(-(-(1/(x-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A339623 = (((-(7/15))*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(50/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/25)*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/25)*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/5))*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/10))*integrate((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/15))*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/31)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/90))*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/5))*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/65)*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/65)*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/195)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/45))*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(6/5))*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/300)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A330170 = ((1*(A001594+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A339623 = (((-(1/9))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/43)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/301)*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/175))*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/50))*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/525))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/210)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/70)*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/2800))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/420)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/63))*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/315))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A338192 = (((1/2)*x*(A001595+(-(1/(x-1)))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = (((-(1/2))*differential((A001595+(-(1/(x-1))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A330051 = (((-0.2)*(A001603+(-((-((3*(x-1))/((x^2-(7*x))+1)))+(-(3/(x-1)))))))+(((1/2)*((2*x)+3))/((x^2+x)-1))+(-(((1/2)*((2*x)+1))/(x^2-x-1)))+(-(1/(x-1))))
+A081079 = ((1*(A001603+(-(((5*(x-1))/((x^2-(3*x))+1))+(-(3/(x-1)))))))+(3/(x-1)))
+A330051 = ((0.2*(A001604+(-((-((3*(x-1))/((x^2-(7*x))+1)))+(-(3/(x-1)))))))+(((1/2)*((2*x)+3))/((x^2+x)-1))+(-(((1/2)*((2*x)+1))/(x^2-x-1)))+(-(1/(x-1))))
+A081079 = ((1*(A001604+(-((-((5*(x-1))/((x^2-(3*x))+1)))+(-(3/(x-1)))))))+(3/(x-1)))
+A303226 = (((-1)*A001608)+(-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-((2*((2*x)+3))/(x^3-x-1)))+(-12))
+A323951 = (((-1)*(A001609+(-(-3))))+x^2+(-(1/(x-1)))+(-(1/(x-1)^2))+(-2))
+A339198 = ((1*(A001609+(-(((2*x)-3)/((x^3+x)-1)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = (((-0.3333333333333333)*integrate((A001609+(-(((2*x)-3)/((x^3+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A301653 = ((1*(A001610+(-(1/(x-1)))))+(1/2/(x+1))+(3/2/(x-1)))
+A338192 = ((1*(A001611+(-(-(1/(x-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A339610 = ((3*(A001612+(-(-(1/(x-1))))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A339623 = (((-(7/2))*differential((A001621+(-((-(8/(x-1)^3))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A001621+(-((-(2/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A001621+(-((-(2/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-9)*(A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2))*integrate((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/3))*differential((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*(A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(12/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(12/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A229731 = ((x*A001628)+(-x^3)+(-x)+(-((2*(x-1))/((x^2+x)-1)))+(-(1/((x^2+x)-1)^2))+(-1))
+A060933 = (((-(64/3))*differential(A001628))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((300*((2*x)+1))/((x^2+x)-1)^6))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
+A338192 = (((-x)*(A001629+(-(-((x-1)/((x^2+x)-1)^2)))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = ((1*differential((A001629+(-(-((x-1)/((x^2+x)-1)^2))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A320947 = ((2*(A001629+(-(1/((x^2+x)-1)))))+(-x)+(-((2*(x-1))/((x^2+x)-1))))
+A336867 = ((1*(A001635+(-(((x^4+(2*x^3)+(3*x^2))-5)/((x^5+x^4+x^3+x^2)-1)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A001635+(-(((x^4+(2*x^3)+(3*x^2))-5)/((x^5+x^4+x^3+x^2)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A333469 = ((1*(A001636+(-(((((2*x^3)+(4*x))-5)/((x^5+x^3+x)-1))+(-(1/(x+1)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A001636+(-(((((2*x^3)+(4*x))-5)/((x^5+x^3+x)-1))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339610 = ((3*(A001638+(-(2/(x^2+1)))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A334514 = (((1/4/x)*differential((A001638+(-((x-2)/((x^2+x)-1))))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A336867 = ((1*(A001639+(-(((x^4+(2*x^3)+(4*x))-5)/((x^5+x^4+x^3+x)-1)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A001639+(-(((x^4+(2*x^3)+(4*x))-5)/((x^5+x^4+x^3+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A333469 = ((1*(A001640+(-(((x^5+(2*x^4)+(3*x^3)+(5*x))-6)/((x^6+x^5+x^4+x^3+x)-1)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A001640+(-(((x^5+(2*x^4)+(3*x^3)+(5*x))-6)/((x^6+x^5+x^4+x^3+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A323950 = ((1*(A001641+(-((-(1/(x+1)))+(-4)))))+x^2+(-(1/(x-1)))+(-(1/(x-1)^2))+(-2))
+A338042 = ((1*(A001641+(-((-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-(1/(x+1)))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = (((-0.25)*integrate((A001641+(-((-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A336867 = ((1*(A001642+(-(((x^4+(3*x^2)+(4*x))-5)/((x^5+x^4+x^2+x)-1)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A001642+(-(((x^4+(3*x^2)+(4*x))-5)/((x^5+x^4+x^2+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A324632 = ((2*(A001643+(-((-(-((x-2)/((x^2-x)+1))))+(-(1/(x+1)))+(-6)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A309496 = (((-1)*(A001643+(-((((x^2+(2*x))-3)/((x^3+x^2+x)-1))+(-(1/(x+1)))+(-6)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A333469 = ((1*(A001643+(-((((x^2+(2*x))-3)/((x^3+x^2+x)-1))+(-(-((x-2)/((x^2-x)+1))))+(-(1/(x+1)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A001643+(-((((x^2+(2*x))-3)/((x^3+x^2+x)-1))+(-(-((x-2)/((x^2-x)+1))))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A324632 = ((2*A001644)+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A336867 = ((1*(A001645+(-((((2*x^3)+(3*x^2)+(4*x))-5)/((x^5+x^3+x^2+x)-1)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A001645+(-((((2*x^3)+(3*x^2)+(4*x))-5)/((x^5+x^3+x^2+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A324632 = ((2*(A001648+(-(-4))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A338042 = ((1*(A001648+(-(((x^3+(2*x^2)+(3*x))-4)/((x^4+x^3+x^2+x)-1)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = (((-0.25)*integrate((A001648+(-(((x^3+(2*x^2)+(3*x))-4)/((x^4+x^3+x^2+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A333469 = ((1*(A001649+(-((-(((((x^4-(4*x^3))+(3*x^2))-(8*x))+5)/(((((x^5-x^4)+(2*x^3))-x^2)+(2*x))-1)))+(-(1/(x+1)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A001649+(-((-(((((x^4-(4*x^3))+(3*x^2))-(8*x))+5)/(((((x^5-x^4)+(2*x^3))-x^2)+(2*x))-1)))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((14/3)*differential((A001651+(-((-(1/4/(x+1)))+(9/4/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A001651+(-((-(1/4/(x+1)))+(9/4/(x-1))+(3/2/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001651+(-((-(1/4/(x+1)))+(9/4/(x-1))+(3/2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A232621 = ((6*(A001653+(-(-1))))+x+(-(1/(x-1)))+(-6))
+A339760 = ((1*(A001653+(-(-(((5*x)-1)/((x^2-(6*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001653+(-(-(((5*x)-1)/((x^2-(6*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/6))*differential((A001688+(-((4/(x-1))+(-(8/(x-1)^3))+(-(6/(x-1)^4))+(-log(((-x)+1)))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(6/(x-1)^4))+(-log(((-x)+1)))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(6/(x-1)^4))+(-log(((-x)+1)))+1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-18)*(A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-log(((-x)+1)))+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*integrate((A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-log(((-x)+1)))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/3))*differential((A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-log(((-x)+1)))+1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A276745 = (1*(A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^4))+1))))
+A339760 = (((-1)*(A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^4))+(-log(((-x)+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A001688+(-((4/(x-1))+(-(6/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^4))+(-log(((-x)+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A001702+(-((-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A001702+(-((-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-7)*differential((A001702+(-(x+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A001702+(-(x+(-(1/(x-1)^2))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A001702+(-(x+(-(1/(x-1)^2))+(-(8/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*(A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((54*integrate((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/20))*differential((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/25)*(A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(15/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/5))*integrate((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/25))*differential((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(15/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/5)*(A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/7))*differential((A001702+(-(x+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(8/(x-1)^5))+(-(25/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-37712)*differential((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/2/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*differential((A001787+(-(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A001787+(-(1/2/((2*x)-1))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = ((1*differential((A001787+(-(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A001787+(-(1/2/((2*x)-1))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A337631 = (((-2)*differential((A001788+(-(-(1/2/((2*x)-1)^3))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A308726 = (((-1)*(A001791+(-(-(((1/2)*(sqrt(((-(4*x))+1))-1))/(x*sqrt(((-(4*x))+1))))))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A339760 = (((-1)*differential((A001792+(-(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A001792+(-(-(1/2/((2*x)-1)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = (((-1)*differential((A001792+(-(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A001792+(-(-(1/2/((2*x)-1)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = (((-1)*differential((A001815+(-((-(1/((2*x)-1)^2))+(-(1/2/((2*x)-1)^3)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((1*(A001815+(-((-(1/2/((2*x)-1)))+(-(1/2/((2*x)-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = (((-1)*differential((A001815+(-((-(1/2/((2*x)-1)))+(-(1/2/((2*x)-1)^3)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A290029 = (((-(913/8))*differential(A001816))+(-(1585/((2*x)-1)))+(-(10315/((2*x)-1)^2))+(-(27840/((2*x)-1)^3))+(-(39910/((2*x)-1)^4))+(-(32065/((2*x)-1)^5))+(-(2430/((2*x)-1)^7)))
+A338588 = ((108*differential((A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(1/12/(x+1)^2))+(-(3/4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*differential((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1))))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*differential((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1))))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/4))*differential((A001844+(-((-(1/(x-1)))+(-(4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A001844+(-((-(1/(x-1)))+(-(4/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A001844+(-((-(1/(x-1)))+(-(4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/6)*differential((A001845+(-((1/(x-1))+(12/(x-1)^3)+(8/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A001845+(-((1/(x-1))+(6/(x-1)^2)+(8/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A001845+(-((1/(x-1))+(6/(x-1)^2)+(8/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/2)*(A001845+(-((1/(x-1))+(6/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/2)*differential((A001845+(-((1/(x-1))+(6/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/8))*differential((A001846+(-((-(1/(x-1)))+(-(24/(x-1)^3))+(-(32/(x-1)^4))+(-(16/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/12)*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(32/(x-1)^4))+(-(16/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/2)*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(32/(x-1)^4))+(-(16/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/8))*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(16/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/8))*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(16/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((2357*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((27*integrate((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/40))*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/10)*differential((A001847+(-((1/(x-1))+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/20))*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/10))*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/20)*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^5)+(32/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/20)*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^5)+(32/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/5))*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(27/5))*integrate((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/200)*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/16))*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((391*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/12))*differential((A001848+(-((-(1/(x-1)))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/30)*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/5)*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(27/40))*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(2357/40))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/15)*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/5)*integrate((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/200))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/32)*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(64/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/6))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(64/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((1173*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/224))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((1/2)*differential((A001849+(-((1/(x-1))+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(1/6))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(3/7))*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/70)*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/70)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/35))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(27/35))*integrate((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/1400)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/112))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(448/(x-1)^7)+(128/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/21)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(448/(x-1)^7)+(128/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1173/7))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(128/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((20655/1568)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(128/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/64))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/512)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A338588 = (((-(108/7))*differential((A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(-(2/9/(x-1)^2))+(8/3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A060932 = ((240*A001872)+(64/((x^2+x)-1)^3)+(300/((x^2+x)-1)^5)+(125/((x^2+x)-1)^6))
+A060933 = ((60*differential(A001872))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((300*((2*x)+1))/((x^2+x)-1)^6))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
+A060932 = (((-300)*A001873)+(64/((x^2+x)-1)^3)+(240/((x^2+x)-1)^4)+(125/((x^2+x)-1)^6))
+A060933 = (((-60)*differential(A001873))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
+A060932 = ((125*A001874)+(64/((x^2+x)-1)^3)+(240/((x^2+x)-1)^4)+(300/((x^2+x)-1)^5))
+A060933 = (((125/6)*differential(A001874))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((300*((2*x)+1))/((x^2+x)-1)^6)))
+A316937 = (((-2)*(A001891+(-((-(3/(x-1)))+(-(2/(x-1)^2))))))+(-(13/((2*x)-1))))
+A339623 = (((-(7/2))*differential((A001891+(-((-(((3*x)+5)/((x^2+x)-1)))+(-(3/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A001895+(-((-(((1/4)*sqrt(((-(4*x^2))+1)))/x))+(-(((1/8)*(((3*sqrt(((-(4*x^2))+1)))+sqrt(((-(4*x))+1)))-4))/x^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A001895+(-((-(((1/4)*sqrt(((-(4*x^2))+1)))/x))+(-(((1/8)*(((3*sqrt(((-(4*x^2))+1)))+sqrt(((-(4*x))+1)))-4))/x^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A310019 = ((0.5*(A001903+(-(-(5/(x-1))))))+(-(2*x^2))+(-(((2/7)*(((16*x^5)+(30*x^4)+(28*x^3)+(17*x^2)+(4*x))-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((2*((3*x)-1))/((x^2-x)+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(79/21/(x-1))+(25/7/(x-1)^2)+3)
+A335551 = (((1/x)*A001906)+(1/(((x^3-(2*x^2))+(3*x))-1)))
+A316528 = (((-2)*(A001911+(-(2/(x-1)))))+(-(5/((2*x)-1))))
+A339623 = (((-(14/3))*(A001919+(-((7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A001919+(-((7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/7)*(A001919+(-((3/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/7)*differential((A001919+(-((3/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-9428)*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-108)*integrate((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/10)*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-75072)*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((41310/7)*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-41310)*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/4)*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A308747 = ((1*(A001924+(-((-(2/(x-1)))+(-(1/(x-1)^2))))))+(((5*x)+3)/(x^2-x-1))+(-(2/(x-1)))+(-(2/(x-1)^2)))
+A339623 = (((-7)*differential((A001924+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(2/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A281208 = (((-0.3636363636363636)*(A001925+(-((-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2))+(-(2/(x-1)^3))))))+(2*x^4)+(-(26*x^3))+(-(26*x^2))+(-(10*x))+(70/(x-1))+(4/((x^2+x)-1)^2)+(14/(x-1)^2)+24)
+A067986 = ((5*(A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(44/(x-1))))+(-(11/(x-1)^2))+(-(2/(x-1)^3))))))+(58/((x^2+x)-1)))
+A339623 = (((-(7/11))*differential((A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A303226 = (((-1)*(A001945+(-(((2*x)+3)/(x^3-x-1)))))+(-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-((2*((2*x)+3))/(x^3-x-1)))+(-12))
+A303226 = (((-2)*(A001945+(-((x^2-3)/((x^3+x^2)-1)))))+(-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-((x^2-3)/((x^3+x^2)-1)))+(-12))
+A056205 = (None*differential((A001949+(-(1/4/(x-1))))))
+A056205 = (None*integrate((A001949+(-(((1/4)*(((3*x^4)+(2*x^3)+x^2)-1))/((x^5+x^4+x^3+x^2+x)-1))))))
+A147316 = ((1*(A002057+(-((-((sqrt(((-(4*x))+1))-2)/x^3))+(-(((1/2)*(sqrt(((-(4*x))+1))-1))/x^4))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A319200 = (((-1)*integrate((A002057+(-((-((sqrt(((-(4*x))+1))-2)/x^3))+(-(((1/2)*(sqrt(((-(4*x))+1))-1))/x^4)))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A143460 = (((-0.5)*differential((A002057+(-((-((sqrt(((-(4*x))+1))-2)/x^3))+(-(((1/2)*(sqrt(((-(4*x))+1))-1))/x^4)))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A339623 = (((-(7/4))*differential((A002061+(-((-(3/(x-1)))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/4))*differential((A002061+(-((-(3/(x-1)))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338192 = ((1*(A002062+(-((1/(x-1))+(1/(x-1)^2)))))+(-(x^2/((x^3+x^2+x)-1))))
+A339623 = ((7*differential((A002062+(-((-(x/((x^2+x)-1)))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-2)*(A002064+(-((-(1/(x-1)))+(1/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A002064+(-((-(1/(x-1)))+(1/((2*x)-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A002064+(-((1/((2*x)-1))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((1*differential((A002064+(-((1/((2*x)-1))+(-(1/(x-1))))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A310019 = (((-1)*(A002081+(-((5/(x-1))+(5/(x-1)^2)))))+(-(2*x^2))+(-(((2/7)*(((16*x^5)+(30*x^4)+(28*x^3)+(17*x^2)+(4*x))-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((2*((3*x)-1))/((x^2-x)+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(79/21/(x-1))+(25/7/(x-1)^2)+3)
+A339623 = (((7/5)*differential((A002081+(-((-((x-2)/(x^2+1)))+(5/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A133368 = ((2*(A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(8/(x-1)^2))+(-(4/(x-1)^3))))))+(-(3/(x-1))))
+A339623 = (((-(7/8))*differential((A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(8/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(8/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = (((-1)*A002109)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate(A002109))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*A002190)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate(A002190))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A002216+(-((-(-(((1/8)*((5*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1)))-8))/x)))+(-(((1/24)*(((((-x)+1)^1.5*((-(5*x))+1)^1.5)-(4*sqrt(((-x^3)+1))*sqrt(((-(5*x^3))+1)))-(9*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1))))+12))/x^2))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A002216+(-((-(-(((1/8)*((5*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1)))-8))/x)))+(-(((1/24)*(((((-x)+1)^1.5*((-(5*x))+1)^1.5)-(4*sqrt(((-x^3)+1))*sqrt(((-(5*x^3))+1)))-(9*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1))))+12))/x^2))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = ((1*(A002216+(-((-x)+(-(-(((1/8)*((5*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1)))-8))/x)))+(-(((1/24)*(((((-x)+1)^1.5*((-(5*x))+1)^1.5)-(4*sqrt(((-x^3)+1))*sqrt(((-(5*x^3))+1)))-(9*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1))))+12))/x^2))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A002216+(-((-x)+(-(-(((1/8)*((5*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1)))-8))/x)))+(-(((1/24)*(((((-x)+1)^1.5*((-(5*x))+1)^1.5)-(4*sqrt(((-x^3)+1))*sqrt(((-(5*x^3))+1)))-(9*sqrt(((-x^2)+1))*sqrt(((-(5*x^2))+1))))+12))/x^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A267437 = (((-2)*(A002248+(-((-(1/((2*x)-1)))+(-(1/(x-1)))))))+(-(11*x))+(-(4/((2*x)-1)))+(-(1/(x-1)))+(-9))
+A339760 = ((2*(A002248+(-(((x-2)/(((2*x^2)-x)+1))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A002248+(-(((x-2)/(((2*x^2)-x)+1))+(-(1/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A267437 = ((2*A002249)+(-(11*x))+(-(4/((2*x)-1)))+(-(1/(x-1)))+(-9))
+A339623 = (((-14)*(A002299+(-((18/(x-1)^4)+(48/(x-1)^5)+(32/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A002299+(-((18/(x-1)^4)+(48/(x-1)^5)+(32/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((6*(A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/3)*integrate((A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/9)*differential((A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/3))*(A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-9)*integrate((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/40)*differential((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/16))*(A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(48/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((391*differential((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(48/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/81)*differential((A002309+(-((1/(x-1))+(544/(x-1)^3)+(1232/(x-1)^4)+(1152/(x-1)^5)+(384/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/272))*(A002309+(-((1/(x-1))+(81/(x-1)^2)+(1232/(x-1)^4)+(1152/(x-1)^5)+(384/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/136))*differential((A002309+(-((1/(x-1))+(81/(x-1)^2)+(1232/(x-1)^4)+(1152/(x-1)^5)+(384/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/308)*(A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1152/(x-1)^5)+(384/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/308)*differential((A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1152/(x-1)^5)+(384/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/72))*(A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(384/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(3/8))*integrate((A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(384/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/960)*differential((A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(384/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/64))*(A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(1152/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/12)*differential((A002309+(-((1/(x-1))+(81/(x-1)^2)+(544/(x-1)^3)+(1232/(x-1)^4)+(1152/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A202391 = ((1*A002315)+(2/(x-1))+1)
+A339623 = (((-(7/2))*differential((A002378+(-(-(2/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A002378+(-(-(2/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A002378+(-(-(2/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A290029 = ((2430*A002409)+(-(1585/((2*x)-1)))+(-(10315/((2*x)-1)^2))+(-(27840/((2*x)-1)^3))+(-(39910/((2*x)-1)^4))+(-(32065/((2*x)-1)^5))+(-(13695/((2*x)-1)^6)))
+A339623 = (((7/2)*differential((A002411+(-((5/(x-1)^3)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/5))*(A002411+(-((2/(x-1)^2)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/5))*differential((A002411+(-((2/(x-1)^2)+(3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A002411+(-((2/(x-1)^2)+(5/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A002411+(-((2/(x-1)^2)+(5/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A002411+(-((2/(x-1)^2)+(5/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/3)*differential((A002412+(-((7/(x-1)^3)+(4/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-2)*(A002412+(-((3/(x-1)^2)+(4/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/7))*differential((A002412+(-((3/(x-1)^2)+(4/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((27*(A002412+(-((3/(x-1)^2)+(7/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((2357*differential((A002412+(-((3/(x-1)^2)+(7/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/4)*differential((A002413+(-((9/(x-1)^3)+(5/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/9))*(A002413+(-((4/(x-1)^2)+(5/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-4)*differential((A002413+(-((4/(x-1)^2)+(5/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/5)*(A002413+(-((4/(x-1)^2)+(9/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/5)*differential((A002413+(-((4/(x-1)^2)+(9/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/5)*differential((A002414+(-((11/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/11))*(A002414+(-((5/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/11))*differential((A002414+(-((5/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A002414+(-((5/(x-1)^2)+(11/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A002414+(-((5/(x-1)^2)+(11/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A002414+(-((5/(x-1)^2)+(11/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-7)*differential((A002415+(-((-(4/(x-1)^3))+(-(5/(x-1)^4))+(-(2/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A002415+(-((-(1/(x-1)^2))+(-(5/(x-1)^4))+(-(2/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A002415+(-((-(1/(x-1)^2))+(-(5/(x-1)^4))+(-(2/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/5))*(A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(2/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/5))*differential((A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(2/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18856*(A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(5/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*differential((A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(5/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((14/3)*(A002417+(-((-(7/(x-1)^4))+(-(4/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((12*differential((A002417+(-((-(7/(x-1)^4))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/7))*(A002417+(-((-(3/(x-1)^3))+(-(4/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/7))*differential((A002417+(-((-(3/(x-1)^3))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*(A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/2)*(A002418+(-((-(9/(x-1)^4))+(-(5/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A002418+(-((-(9/(x-1)^4))+(-(5/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-12)*(A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/3))*integrate((A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/9))*differential((A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/5)*(A002418+(-((-(4/(x-1)^3))+(-(9/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/25))*differential((A002418+(-((-(4/(x-1)^3))+(-(9/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((14/5)*(A002419+(-((-(11/(x-1)^4))+(-(6/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A002419+(-((-(11/(x-1)^4))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/11))*(A002419+(-((-(5/(x-1)^3))+(-(6/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/11))*differential((A002419+(-((-(5/(x-1)^3))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*(A002419+(-((-(5/(x-1)^3))+(-(11/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A002419+(-((-(5/(x-1)^3))+(-(11/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A002466+(-(-((((2*x^7)-(2*x^6)-(8*x^5))+(4*x^4)+(2*x^3)+x^2+x+1)/(((2*x^10)+(15*x^5))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A002466+(-(-((((2*x^7)-(2*x^6)-(8*x^5))+(4*x^4)+(2*x^3)+x^2+x+1)/(((2*x^10)+(15*x^5))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A226546 = (((-1)*A002478)+(((4*x^2)+(2*x)+1)/((x^3+(2*x^2)+x)-1)^2))
+A339623 = (((7/4)*differential((A002492+(-((12/(x-1)^3)+(8/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A002492+(-((4/(x-1)^2)+(8/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A002492+(-((4/(x-1)^2)+(8/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((27/2)*(A002492+(-((4/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/2)*differential((A002492+(-((4/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338153 = (((-1)*(A002501+(-((-(3/((4*x)-1)))+(-(2/((3*x)-1)))))))+(-(14*x^2))+(-(2/((4*x)-1)))+(-(2/((2*x)-1)))+(-(5/(x-1)))+(-2))
+A330170 = ((0.3333333333333333*(A002502+(-((-(1/((15*x)-1)))+(-(4/((8*x)-1)))+(-(12/((5*x)-1)))+(6/((4*x)-1))))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A323799 = ((1*A002524)+(((1/17)*(((x^12+(4*x^11)+(7*x^10)+(12*x^9)+(21*x^8)+(11*x^7))-(9*x^6)-(28*x^5)-(49*x^4)-(28*x^3)-(31*x^2))+16))/(((x^13+(3*x^12)+(3*x^11)+(5*x^10)+(9*x^9)+(7*x^8))-(3*x^7)-(19*x^6)-(21*x^5)-(13*x^4)-(3*x^3)-(3*x^2)-x)+1))+(-(1/17/(x-1))))
+A290999 = (6*A002532)
+A002546 = (1*A002545)
+A002548 = (1*A002547)
+A339623 = (((7/31)*differential((A002561+(-((180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/90))*(A002561+(-((31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(1/5))*differential((A002561+(-((31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/65)*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/65)*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/195)*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/45))*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(6/5))*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/300)*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A002578+(-((-(((1/18)*((2*x)+1))/(x^2+x+1)))+(-(((1/6)*((2*x)-1))/((x^2-x)+1)))+(-(1/24/(x+1)))+(-(181/72/(x-1)))+(-(29/12/(x-1)^2))+(-(5/6/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A002578+(-((-(((1/18)*((2*x)+1))/(x^2+x+1)))+(-(((1/6)*((2*x)-1))/((x^2-x)+1)))+(-(1/24/(x+1)))+(-(181/72/(x-1)))+(-(29/12/(x-1)^2))+(-(5/6/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/27))*differential((A002593+(-((-(1/(x-1)))+(-(98/(x-1)^3))+(-(120/(x-1)^4))+(-(48/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/7)*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(120/(x-1)^4))+(-(48/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/49)*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(120/(x-1)^4))+(-(48/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/10))*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/20))*integrate((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/30))*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/3)*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((9*integrate((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/40))*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/243))*differential((A002594+(-((-(1/(x-1)))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/1441)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/1441)*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(1/100))*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/1800))*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/2700))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/1110)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/370)*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/14800))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/2240)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2357/168))*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(391/420))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((391/20)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/320))*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1377/896))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337120 = (((-1.333333333333333)*(A002598+(-((-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1111111111111111*differential((A002598+(-((-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.3333333333333333)*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = ((4*integrate((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = (((-0.1666666666666667)*differential((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(1/9))*differential((A002604+(-((-(2/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((1/43)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/301)*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(9/175))*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(1/50))*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/525))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((2357/210)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((9/70)*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/2800))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/420)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/63))*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(1564/315))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((1564/15)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/20))*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(459/56))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((-0.5)*(A002660+(-((-(2*x))+(3/(x-1))+(3/(x-1)^2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A002660+(-((-(2*x))+(3/(x-1))+(3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.5)*(A002660+(-((-(2*x^2))+(3/(x-1))+(3/(x-1)^2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*integrate((A002660+(-((-(2*x^2))+(3/(x-1))+(3/(x-1)^2))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = ((1*differential((A002660+(-((-(2*x^2))+(3/(x-1))+(3/(x-1)^2))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((7/3)*differential((A002660+(-((-(2*x^2))+(-(2*x))+(3/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((2*(A002662+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A002662+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = ((7*differential((A002662+(-((-(1/((2*x)-1)))+(1/(x-1))+(1/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-14)*(A002662+(-((-(1/((2*x)-1)))+(1/(x-1))+(1/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A002662+(-((-(1/((2*x)-1)))+(1/(x-1))+(1/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((2*(A002663+(-((-(2/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A002663+(-((-(2/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/2))*differential((A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^2))+(-(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^2))+(-(1/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-108)*(A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^2))+(-(2/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A002663+(-((-(1/((2*x)-1)))+(-(2/(x-1)^2))+(-(2/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((2*(A002664+(-((1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(3/(x-1)^4)+(1/(x-1)^5)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A002664+(-((1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(3/(x-1)^4)+(1/(x-1)^5))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((7/2)*differential((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(4/(x-1)^3)+(3/(x-1)^4)+(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2))*(A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(3/(x-1)^4)+(1/(x-1)^5)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-9)*differential((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(3/(x-1)^4)+(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(1/(x-1)^5)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(1/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-37712)*(A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(3/(x-1)^4)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/5)*differential((A002664+(-((-(1/((2*x)-1)))+(1/(x-1))+(2/(x-1)^2)+(4/(x-1)^3)+(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339610 = ((1*(A002714+(-(-((((3*x^3)-(3*x^2)-(5*x))+3)/(((x^4-(4*x^3)-(2*x^2))+(4*x))-1))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A002714+(-(-((((3*x^3)-(3*x^2)-(5*x))+3)/(((x^4-(4*x^3)-(2*x^2))+(4*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337962 = (((18856/3)*differential((A002717+(-((1/16/(x+1))+(-(1/16/(x-1)))+(1/8/(x-1)^2)+(7/4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*A002720)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate(A002720))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/11))*differential((A002721+(-((-(1/(x-1)))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/109)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/109)*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(2/9))*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/81))*integrate((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/243))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/639)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/1065))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/1055)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/211))*integrate((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/1055))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37536/1075)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(1240/(x-1)^8))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4131/1505))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(1240/(x-1)^8))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4131/124)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(310/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(927/992))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(310/(x-1)^9)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((927/31)*(A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-(3303300/31))*differential((A002721+(-((-(1/(x-1)))+(-(11/(x-1)^2))+(-(109/(x-1)^3))+(-(486/(x-1)^4))+(-(1278/(x-1)^5))+(-(2110/(x-1)^6))+(-(2150/(x-1)^7))+(-(1240/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339623 = (((-14)*differential((A002754+(-((-(1/16/((9*x)-1)))+(-(7/16/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A002783+(-((-(2/((3*x)-1)))+(-(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/4))*differential((A002783+(-((-(2/((3*x)-1)))+(-(1/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-1)*(A002791+(-((7/(x-1))+(4/(x-1)^2)+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A002791+(-((7/(x-1))+(4/(x-1)^2)+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/4)*differential((A002791+(-((-x^2)+(7/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A002791+(-((-x^2)+(7/(x-1))+(4/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A002791+(-((-x^2)+(7/(x-1))+(4/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*A002793)+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential(A002793))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-7)*differential((A002817+(-((-(4/(x-1)^3))+(-(6/(x-1)^4))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A002817+(-((-(1/(x-1)^2))+(-(6/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A002817+(-((-(1/(x-1)^2))+(-(6/(x-1)^4))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-18)*(A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*integrate((A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/3))*differential((A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(6/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A002817+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(6/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A301775 = (((-1)*A002878)+(-(2*x))+(-((x-1)/(x^2+x+1)))+(-2))
+A339623 = (((-(1/12))*differential((A002889+(-(((2*((275*x)+508))/((x^2+x)-1))+(-(-((6*((51*x)+92))/((x^2+x)-1)^2)))+(-(-(550/(x-1))))+(-((2*((67*x)+116))/((x^2+x)-1)^3))+(-(((34*x)+55)/((x^2+x)-1)^4))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A002889+(-(((2*((275*x)+508))/((x^2+x)-1))+(-(-((6*((51*x)+92))/((x^2+x)-1)^2)))+(-(-(550/(x-1))))+(-((2*((67*x)+116))/((x^2+x)-1)^3))+(-(84/(x-1)^2))+(-(((34*x)+55)/((x^2+x)-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A002889+(-(((2*((275*x)+508))/((x^2+x)-1))+(-(-((6*((51*x)+92))/((x^2+x)-1)^2)))+(-(-(550/(x-1))))+(-((2*((67*x)+116))/((x^2+x)-1)^3))+(-(84/(x-1)^2))+(-(((34*x)+55)/((x^2+x)-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/6))*(A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A002901+(-((-(((1/3)*(x+1))/(x^2+x+1)))+(1/3/(x-1))+(20/3/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(1/2))*differential((A002939+(-((-(6/(x-1)))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A002939+(-((-(6/(x-1)))+(-(14/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A002939+(-((-(6/(x-1)))+(-(14/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A316528 = ((1*(A002940+(-((-(((2*x)+3)/((x^2+x)-1)^2))+(-(2/(x-1)))))))+(-(5/((2*x)-1))))
+A281211 = (((-7)*(A002940+(-(((2*(x+2))/((x^2+x)-1))+(-(2/(x-1)))))))+(-(10*x^7))+(-(-(18*x^6)))+(-(222*x^4))+(-(996*x^3))+(-(908*x^2))+(-(685*x))+(-(((137*x)+265)/((x^2+x)-1)))+(2629/(x-1))+(743/(x-1)^2)+1600)
+A339623 = (((-(7/4))*differential((A002941+(-((-((4*((8*x)+15))/((x^2+x)-1)))+(-(-((4*((5*x)+9))/((x^2+x)-1)^2)))+(-(32/(x-1)))+(-(((8*x)+13)/((x^2+x)-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/10))*differential((A002943+(-((-(2/(x-1)))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A002943+(-((-(2/(x-1)))+(-(10/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A002943+(-((-(2/(x-1)))+(-(10/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = (((-2)*(A003063+(-((-(1/3/((3*x)-1)))+(2/3)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A003063+(-((-(1/3/((3*x)-1)))+(2/3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/24))*differential((A003154+(-((-(13/(x-1)))+(-(12/(x-1)^3))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/6)*(A003154+(-((-(13/(x-1)))+(-(24/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((3*differential((A003154+(-((-(13/(x-1)))+(-(24/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A003154+(-((-(13/(x-1)))+(-(24/(x-1)^2))+(-(12/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003154+(-((-(13/(x-1)))+(-(24/(x-1)^2))+(-(12/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/6))*differential((A003215+(-((-(1/(x-1)))+(-(6/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A003215+(-((-(1/(x-1)))+(-(6/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A003215+(-((-(1/(x-1)))+(-(6/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/10)*differential((A003222+(-((-(2/((8*x)-1)))+(2/(x-1))+(8/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/4))*(A003222+(-((-(2/((8*x)-1)))+(2/(x-1))+(10/(x-1)^2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/2))*differential((A003222+(-((-(2/((8*x)-1)))+(2/(x-1))+(10/(x-1)^2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = (((-2)*(A003261+(-((1/(x-1))+(1/((2*x)-1)^2)+1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A003261+(-((1/(x-1))+(1/((2*x)-1)^2)+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A003261+(-((1/((2*x)-1))+(1/(x-1))+1))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((1*differential((A003261+(-((1/((2*x)-1))+(1/(x-1))+1)))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339760 = (((-1)*(A003261+(-((1/((2*x)-1))+(1/(x-1))+(1/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A003261+(-((1/((2*x)-1))+(1/(x-1))+(1/((2*x)-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A003274+(-((-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-(2/(x-1)^2))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A003274+(-((-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-(2/(x-1)^2))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A170933 = (((-0.5)*(A003274+(-((-x)+(-(2/(x-1)))+(-(2/(x-1)^2))+(-1)))))+(-(4/(x-1))))
+A339623 = (((-(7/2))*differential((A003274+(-((-x)+(-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A003274+(-((-x)+(-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-(2/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003274+(-((-x)+(-(-((2*(x^2+x+3))/((x^3+x)-1))))+(-(2/(x-1)))+(-(2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003411+(-(-((x^3+x^2+2)/((x^4+x)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003411+(-(-((x^3+x^2+2)/((x^4+x)-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A003417+(-((((1/9)*((6*x)+1))/(x^2+x+1))+(-(2/3/(x-1)))+(-(((2/3)*x)/(x^2+x+1)^2))+(2/9/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A003417+(-((((1/9)*((6*x)+1))/(x^2+x+1))+(-(2/3/(x-1)))+(-(((2/3)*x)/(x^2+x+1)^2))+(2/9/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337962 = ((37712*(A003438+(-((-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A003438+(-((-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/115)*(A003438+(-((-(1/(x-1)^5))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/23))*integrate((A003438+(-((-(1/(x-1)^5))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(544/5))*differential((A003438+(-((-(1/(x-1)^5))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((25024/1835)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/2569))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((8262/22411)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-(927/89644))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((1854/233573)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-(6606600/233573))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((660660/15661)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337962 = (((-(927/78305))*integrate((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-(204204/78305))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((7351344/1060655)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = (((-(235872/1060655))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((10296/10291)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A337406 = (((-(132/10291))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A337406 = (((133056/1396267)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A323972 = (((-(682/453786775))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((682/36968875)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((-(66/36968875))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((1386/37040075)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((-(286/185200375))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(28308450/(x-1)^16))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(429/(x-1)^17))+(-6))
+A323972 = (((286/4718075)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(4718075/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(429/(x-1)^17))+(-6))
+A323972 = (((-(1386/943615))*integrate((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A323972 = (((-(143/150978400))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(4718075/(x-1)^17)))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-6))
+A323972 = (((429/4718075)*(A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-6))
+A252927 = (((-(30323/80207275))*differential((A003438+(-((-(1/(x-1)^5))+(-(115/(x-1)^6))+(-(5505/(x-1)^7))+(-(112055/(x-1)^8))+(-(1167865/(x-1)^9))+(-(7047450/(x-1)^10))+(-(26516375/(x-1)^11))+(-(64833300/(x-1)^12))+(-(104720025/(x-1)^13))+(-(110906625/(x-1)^14))+(-(74080150/(x-1)^15))+(-(28308450/(x-1)^16)))))))+(-(12/(x-1)))+(-(-(-(-(27/(x-1)^2)))))+(-(-(-(-(76/(x-1)^3)))))+(-(-(-(-(170/(x-1)^4)))))+(-(-(-(-(183/(x-1)^5)))))+(-(-(-(19/(x-1)^6))))+(-(-(-(30/(x-1)^7))))+(-(-(-(459/(x-1)^8))))+(-(-(-(160/(x-1)^9))))+(-(-(1038/(x-1)^10)))+(-(-(325/(x-1)^11)))+(-(-(2453/(x-1)^12)))+(-(1679/(x-1)^13))+(-(8125/(x-1)^14))+(-(12163/(x-1)^15))+(-(16349/(x-1)^16))+(-(4361/(x-1)^17))+(-(47754/(x-1)^19))+(-(28764/(x-1)^20))+(-(6392/(x-1)^21))+(-4))
+A339760 = (((-1)*(A003451+(-((-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(2/(x-1)^3)+(1/2/(x-1)^4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A003451+(-((-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(2/(x-1)^3)+(1/2/(x-1)^4))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-7)*(A003451+(-((-x)+(-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(1/2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A003451+(-((-x)+(-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(1/2/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((18856*differential((A003451+(-((-x)+(-(5/8/(x+1)))+(5/8/(x-1))+(1/8/(x+1)^2)+(21/8/(x-1)^2)+(2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*differential((A003453+(-((1/16/(x+1))+(-(-(1/16/(x-1))))+(-(-(1/16/(x+1)^2)))+(-(3/16/(x-1)^2))+(-(1/2/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337120 = (((-4)*(A003467+(-((1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A003467+(-((1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((7/9)*differential((A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/9))*(A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-4)*differential((A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(1/64/((4*x)-1)^4)+(3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A003467+(-(x^3+(1/64/((4*x)-1))+(3/(x-1))+(3/64/((4*x)-1)^2)+(9/(x-1)^2)+(3/64/((4*x)-1)^3)+(9/(x-1)^3)+(1/64/((4*x)-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A003469+(-((-(1/(x-1)))+(-(2/((2*x)-1)^2))+(-(1/(x-1)^2))+(1/(x-1)^3)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/4))*differential((A003469+(-((-(1/(x-1)))+(-(2/((2*x)-1)^2))+(-(1/(x-1)^2))+(1/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((1/2)*(A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^3)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-2)*integrate((A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A337631 = (((-(1/2))*differential((A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^3))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339623 = (((-7)*differential((A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^2))+(1/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-14)*(A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^2))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A003469+(-((-(2/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^2))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/2)*differential((A003485+(-((-(((1/2)*((2*x)-1))/(x^2+1)))+(-(1/4/(x+1)))+(5/4/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A302946 = ((1*A003499)+(-(2/(x+1)))+(-4))
+A335649 = ((0.5*A003500)+(-(((1/6)*((7*x)-1))/((x^2-(14*x))+1)))+(-(5/6/(x-1))))
+A253150 = ((4*A003501)+(-(70*x))+(-((2*((((15*x^3)-(64*x^2))+(45*x))-4))/((((x^4-(15*x^3))+(32*x^2))-(15*x))+1)))+(-((4*((3*x)-2))/((x^2-(3*x))+1)))+(-(8/(x-1)))+(-32))
+A339623 = ((7*differential((A003600+(-((1/(x-1))+(1/(x-1)^3)+(1/(x-1)^4)+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-14)*(A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^4)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^4)+1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)+1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*(A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)+(1/(x-1)^4)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A003600+(-((1/(x-1))+(1/(x-1)^2)+(1/(x-1)^3)+(1/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((1.5*(A003662+(-((-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A003662+(-((-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((2*(A003662+(-((2*x^4)+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.1666666666666667)*differential((A003662+(-((2*x^4)+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.3333333333333333)*(A003662+(-((2*x^4)+(-(2*x^3))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = ((4*integrate((A003662+(-((2*x^4)+(-(2*x^3))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = (((-0.1666666666666667)*differential((A003662+(-((2*x^4)+(-(2*x^3))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.5)*(A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*integrate((A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = ((1*differential((A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)+6)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((7/3)*differential((A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A333469 = (((-1)*(A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = ((0.1666666666666667*integrate((A003662+(-((2*x^4)+(-(2*x^3))+(-(3*x^2))+(-(2*x))+(-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x+1)))+(8/(x-1))+(3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((1*(A003663+(-((2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.3*differential((A003663+(-((2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((1.5*(A003663+(-((2*x^5)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A003663+(-((2*x^5)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-2)*(A003663+(-((2*x^5)+(2*x^4)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1666666666666667*differential((A003663+(-((2*x^5)+(2*x^4)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.2*(A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.1*differential((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)+3)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A330396 = ((2*(A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+(2*x)+(7/(x-1))+(3/(x-1)^2)+3))))+(1/(x-1))+(1/(x-1)^2))
+A339623 = (((7/3)*differential((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A003663+(-((2*x^5)+(2*x^4)+(2*x^3)+(5*x^2)+(2*x)+((x+1)/(x^2+x+1))+(7/(x-1))+(3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((2*(A003664+(-((3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.6*differential((A003664+(-((3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((1*(A003664+(-(x^5+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.3333333333333333)*differential((A003664+(-(x^5+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-4)*(A003664+(-(x^5+(3*x^4)+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A003664+(-(x^5+(3*x^4)+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.3333333333333333*(A003664+(-(x^5+(3*x^4)+x^3+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-4)*integrate((A003664+(-(x^5+(3*x^4)+x^3+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.1666666666666667*differential((A003664+(-(x^5+(3*x^4)+x^3+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)+6)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339623 = (((7/3)*differential((A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A333469 = (((-1)*(A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = ((0.1666666666666667*integrate((A003664+(-(x^5+(3*x^4)+x^3+(3*x^2)+(4*x)+((x^3-x-1)/(x^4+x^3+x^2+x+1))+(8/(x-1))+(3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A003682+(-((-(4/(x-1)))+(-(4/(x-1)^2))+(-(2/(x-1)^3))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A003682+(-((-(4/(x-1)))+(-(4/(x-1)^2))+(-(2/(x-1)^3))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-(7/4))*differential((A003682+(-((-x)+(-(4/(x-1)))+(-(2/(x-1)^3))+(-2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A003682+(-((-x)+(-(4/(x-1)))+(-(4/(x-1)^2))+(-2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A003682+(-((-x)+(-(4/(x-1)))+(-(4/(x-1)^2))+(-2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339610 = ((1*(A003682+(-((-x)+(-(4/(x-1)))+(-(4/(x-1)^2))+(-(2/(x-1)^3))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A003682+(-((-x)+(-(4/(x-1)))+(-(4/(x-1)^2))+(-(2/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003688+(-(((2*x)-1)/((x^2+(3*x))-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003688+(-(((2*x)-1)/((x^2+(3*x))-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*(A003695+(-((-(-(3*x)))+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))+10))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A003695+(-((-(-(3*x)))+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))+10)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.3333333333333333*(A003695+(-((2*x^2)+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))+10))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A003695+(-((2*x^2)+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))+10)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A325686 = (((-1)*(A003695+(-((2*x^2)+(-(-(3*x)))+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2))))))+(((2/3)*(x+2))/(x^2+x+1))+(-(1/(x^2+1)))+(-(11/4/(x+1)))+(-(113/12/(x-1)))+(-(1/2/(x+1)^2))+(-(5/(x-1)^2))+(-(1/(x-1)^3)))
+A339760 = ((0.1*integrate((A003695+(-((2*x^2)+(-(-(3*x)))+(-(-(((2/75625)*(((3225259*x^3)-(4620541*x^2))+(3622470*x)+6810803))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1))))+(-(-(((2/625)*((18029*x^3)-(20617*x^2)-(81163*x)-55293))/((x^4-x^3-(3*x^2)-x)+1))))+(-(((16/121)*((3*x)+13))/((x^2+x)-1)))+(-(((2/275)*(((6678*x^3)-(7497*x^2)-(5485*x))+701))/(((x^4-(2*x^3))+(2*x^2)+(2*x))-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003698+(-((-(((1/2)*((4*x)-1))/(((4*x^2)-(7*x))+1)))+(-(1/2/(x+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003698+(-((-(((1/2)*((4*x)-1))/(((4*x^2)-(7*x))+1)))+(-(1/2/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003729+(-(-((((x^3-(8*x^2))+(8*x))-1)/((((x^4-(19*x^3))+(41*x^2))-(19*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003729+(-(-((((x^3-(8*x^2))+(8*x))-1)/((((x^4-(19*x^3))+(41*x^2))-(19*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003730+(-(-(((((8*x^3)+(6*x^2))-(8*x))+1)/((((3*x^4)-(22*x^3)-(4*x^2))+(9*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003730+(-(-(((((8*x^3)+(6*x^2))-(8*x))+1)/((((3*x^4)-(22*x^3)-(4*x^2))+(9*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003731+(-(-((5*x^2)/((((2*x^3)-(4*x^2))+(6*x))-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A003731+(-(-((5*x^2)/((((2*x^3)-(4*x^2))+(6*x))-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = ((0.25*(A003732+(-((-(-((23/5)*x)))+(-(-(((2/56475225)*((((2.0128253074*E10*x^5)+(2.9100097141*E10*x^4))-(9.164131835*E9*x^3)-(1.3299236668*E10*x^2))+(1536436224*x)+926557903))/((((((5*x^6)+(3*x^5))-(3*x^4))+(20*x^3))-x^2-(7*x))+1))))+(-(-(((5/2259009)*((193811605*x^2)-(222867076*x)-166512973))/((((2*x^3)-(4*x^2))+(6*x))-1))))+(-(((5/4509)*(((1325*x^2)-(1789442*x))+331051))/((((2*x^3)-(4*x^2))+(6*x))-1)^2))+(-(784/25))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.125*differential((A003732+(-((-(-((23/5)*x)))+(-(-(((2/56475225)*((((2.0128253074*E10*x^5)+(2.9100097141*E10*x^4))-(9.164131835*E9*x^3)-(1.3299236668*E10*x^2))+(1536436224*x)+926557903))/((((((5*x^6)+(3*x^5))-(3*x^4))+(20*x^3))-x^2-(7*x))+1))))+(-(-(((5/2259009)*((193811605*x^2)-(222867076*x)-166512973))/((((2*x^3)-(4*x^2))+(6*x))-1))))+(-(((5/4509)*(((1325*x^2)-(1789442*x))+331051))/((((2*x^3)-(4*x^2))+(6*x))-1)^2))+(-(784/25)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003735+(-(-((((x^3-(15*x^2))+(15*x))-1)/((((x^4-(44*x^3))+(102*x^2))-(44*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003735+(-(-((((x^3-(15*x^2))+(15*x))-1)/((((x^4-(44*x^3))+(102*x^2))-(44*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003736+(-(-(((((10*x^5)-(254*x^4)-(245*x^3))+(77*x^2)+(17*x))-1)/(((((24*x^6)-(1098*x^5))+(1354*x^4)+(285*x^3))-(149*x^2)-(21*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003736+(-(-(((((10*x^5)-(254*x^4)-(245*x^3))+(77*x^2)+(17*x))-1)/(((((24*x^6)-(1098*x^5))+(1354*x^4)+(285*x^3))-(149*x^2)-(21*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A003737+(-((-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1)))+(-18)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A003737+(-((-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1)))+(-18))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A003737+(-((-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1)))+(-18))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A335412 = (((-1)*(A003737+(-((4*x)+(-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1)))))))+(-(((18/5)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1)))+(-(((18/5)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))+(-(42/5/(x+1)))+(-(117/5/(x-1)))+(-(9/2/(x+1)^2))+(-(57/2/(x-1)^2))+(-(12/(x-1)^3)))
+A339760 = (((-0.05555555555555555)*integrate((A003737+(-((4*x)+(-((2*(((((400*x^6)-(1944*x^5))+(788*x^4)+(838*x^3))-(404*x^2)-(117*x))+9))/(((((16*x^7)-(32*x^6)-(188*x^5))+(120*x^4)+(80*x^3))-(50*x^2)-(13*x))+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003741+(-(-((((((x^5-(25*x^4))+(145*x^3))-(145*x^2))+(25*x))-1)/((((((x^6-(65*x^5))+(548*x^4))-(995*x^3))+(548*x^2))-(65*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003741+(-(-((((((x^5-(25*x^4))+(145*x^3))-(145*x^2))+(25*x))-1)/((((((x^6-(65*x^5))+(548*x^4))-(995*x^3))+(548*x^2))-(65*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003742+(-(-(((((75*x^5)-(980*x^4)-(869*x^3))+(225*x^2)+(20*x))-1)/(((((405*x^6)-(7239*x^5))+(6539*x^4)+(707*x^3))-(396*x^2)-(26*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003742+(-(-(((((75*x^5)-(980*x^4)-(869*x^3))+(225*x^2)+(20*x))-1)/(((((405*x^6)-(7239*x^5))+(6539*x^4)+(707*x^3))-(396*x^2)-(26*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.1666666666666667*(A003743+(-((-(((3/16)*((((72752*x^4)-(58556*x^3))+(14824*x^2)+(1872*x))-117))/(((((256*x^5)+(432*x^4))-(460*x^3))+(136*x^2)+(16*x))-1)))+(-(351/16))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.3333333333333333*integrate((A003743+(-((-(((3/16)*((((72752*x^4)-(58556*x^3))+(14824*x^2)+(1872*x))-117))/(((((256*x^5)+(432*x^4))-(460*x^3))+(136*x^2)+(16*x))-1)))+(-(351/16)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A333469 = (((-1)*differential((A003743+(-((-(((3/16)*((((72752*x^4)-(58556*x^3))+(14824*x^2)+(1872*x))-117))/(((((256*x^5)+(432*x^4))-(460*x^3))+(136*x^2)+(16*x))-1)))+(-(351/16)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A167072 = ((0.4*(A003745+(-(-((80*(x^3-x))/((((x^4-(1610*x^3))+(103707*x^2))-(1610*x))+1))))))+(-((14*(((x^7-(5*x^6)-(121*x^5))+(121*x^3)+(5*x^2))-x))/((((((((x^8-(490*x^7))+(15193*x^6))-(129850*x^5))+(280468*x^4))-(129850*x^3))+(15193*x^2))-(490*x))+1))))
+A339760 = ((1*(A003747+(-((-(((55/73)*(x-1))/((x^2-(75*x))+1)))+(-(18/73/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003747+(-((-(((55/73)*(x-1))/((x^2-(75*x))+1)))+(-(18/73/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003748+(-(-((((38*x^2)+(35*x))-1)/(((436*x^3)-(288*x^2)-(47*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003748+(-(-((((38*x^2)+(35*x))-1)/(((436*x^3)-(288*x^2)-(47*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.08333333333333333*(A003749+(-((-((40*((28*x)-1))/(((12*x^2)+(28*x))-1)))+(-40)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.1666666666666667*integrate((A003749+(-((-((40*((28*x)-1))/(((12*x^2)+(28*x))-1)))+(-40))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*differential((A003749+(-((-((40*((28*x)-1))/(((12*x^2)+(28*x))-1)))+(-40))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3)))
+A304610 = (((-1)*(A003749+(-((12*x)+(-((40*((28*x)-1))/(((12*x^2)+(28*x))-1)))))))+(197/(x-1))+(157/(x-1)^2))
+A339760 = (((-0.025)*integrate((A003749+(-((12*x)+(-((40*((28*x)-1))/(((12*x^2)+(28*x))-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.01666666666666667*(A003750+(-((-(-(((5/20675209)*(((1.9307896938*E10*x^2)+(1.3502382795*E10*x))-463539565))/(((48*x^3)-(90*x^2)-(39*x))+1))))+(-(((80/62025627)*((2.1658444803*E10*x)-(2.5884058063*E10)))/(((12*x^2)+(28*x))-1)))+(-(((160/13641)*((79725292*x)-2805961))/(((12*x^2)+(28*x))-1)^2))+(-585)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.03333333333333333*integrate((A003750+(-((-(-(((5/20675209)*(((1.9307896938*E10*x^2)+(1.3502382795*E10*x))-463539565))/(((48*x^3)-(90*x^2)-(39*x))+1))))+(-(((80/62025627)*((2.1658444803*E10*x)-(2.5884058063*E10)))/(((12*x^2)+(28*x))-1)))+(-(((160/13641)*((79725292*x)-2805961))/(((12*x^2)+(28*x))-1)^2))+(-585))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A269196 = ((1*differential((A003750+(-((-(-(((5/20675209)*(((1.9307896938*E10*x^2)+(1.3502382795*E10*x))-463539565))/(((48*x^3)-(90*x^2)-(39*x))+1))))+(-(((80/62025627)*((2.1658444803*E10*x)-(2.5884058063*E10)))/(((12*x^2)+(28*x))-1)))+(-(((160/13641)*((79725292*x)-2805961))/(((12*x^2)+(28*x))-1)^2))+(-585))))))+(24*x)+((4*((266*x)+81))/(((6*x^2)-(15*x))+1))+((128*((44*x)-3))/(((6*x^2)-(15*x))+1)^2))
+A339760 = (((-0.001709401709401709)*integrate((A003750+(-((60*x)+(-(-(((5/20675209)*(((1.9307896938*E10*x^2)+(1.3502382795*E10*x))-463539565))/(((48*x^3)-(90*x^2)-(39*x))+1))))+(-(((80/62025627)*((2.1658444803*E10*x)-(2.5884058063*E10)))/(((12*x^2)+(28*x))-1)))+(-(((160/13641)*((79725292*x)-2805961))/(((12*x^2)+(28*x))-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.25)*(A003752+(-((-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1)))+(-28)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.5)*integrate((A003752+(-((-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1)))+(-28))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = ((1*differential((A003752+(-((-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1)))+(-28))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A329824 = ((1*(A003752+(-((-(4*x))+(-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1)))))))+(-(4*x^9))+(-(-(-(8*x^7))))+(-(-(-(6*x^6))))+(-(-(-(12*x^5))))+(-(-(-(30*x^4))))+(-(-(4*x^3)))+(-(-(50*x^2)))+(-(30*x))+(-((2*(((((((24*x^9)-(21*x^8))+(60*x^7))-(11*x^6))+(22*x^5)+(23*x^4)+(2*x^3)+(27*x^2))-(14*x))+14))/((x^10+(2*x^9)+(2*x^8)+(2*x^7)+(3*x^6))-1))))
+A339760 = (((-0.03571428571428571)*integrate((A003752+(-((-(4*x))+(-(((8/9)*((94*x)+97))/((x^2-(4*x))+1)))+(-(((4/27)*((2*x)+461))/(((2*x^2)+(4*x))-1)))+(-(((8/9)*((233*x)-52))/((x^2-(4*x))+1)^2))+(-(8/27/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003758+(-(-((((x^4+x^3)-(6*x^2)-(3*x))+1)/(((x^5-(3*x^4)-(3*x^3))+(9*x^2)+(3*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003758+(-(-((((x^4+x^3)-(6*x^2)-(3*x))+1)/(((x^5-(3*x^4)-(3*x^3))+(9*x^2)+(3*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((1*(A003759+(-((-(4*x^5))+(-(6*x^4))+(-(6*x^3))+(2*x^2)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.1666666666666667)*differential((A003759+(-((-(4*x^5))+(-(6*x^4))+(-(6*x^3))+(2*x^2))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.5)*(A003759+(-((-(2*x^6))+(-(6*x^4))+(-(6*x^3))+(2*x^2)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.15)*differential((A003759+(-((-(2*x^6))+(-(6*x^4))+(-(6*x^3))+(2*x^2))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-0.5)*(A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^3))+(2*x^2)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.1666666666666667*differential((A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^3))+(2*x^2))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.6666666666666666*(A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^4))+(2*x^2)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.05555555555555555)*differential((A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^4))+(2*x^2))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.5*(A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^4))+(-(6*x^3))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A003759+(-((-(2*x^6))+(-(4*x^5))+(-(6*x^4))+(-(6*x^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((2*(A003762+(-((-(8*x^2))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))+(-46)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.1666666666666667)*differential((A003762+(-((-(8*x^2))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))+(-46))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.125)*(A003762+(-((-(2*x^3))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))+(-46)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.0625)*differential((A003762+(-((-(2*x^3))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))+(-46))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A267139 = ((1*(A003762+(-((-(2*x^3))+(-(8*x^2))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1)))))))+(-(128*x^4))+(-(-(-(48*x^3))))+(-(-(-(88*x^2))))+(-(-(28*x)))+(-(-(((29*x)-47)/((2*x^2)-1))))+(-(-(1/((4*x)+1))))+(-(-(1/((4*x)-1))))+(-(1/2/(x+1)))+(-(1/2/(x-1))))
+A339760 = (((-0.02173913043478261)*integrate((A003762+(-((-(2*x^3))+(-(8*x^2))+(-((53/2)*x))+(-(((1/2)*((((((332*x^11)-(2060*x^10)-(5086*x^9)-(4364*x^8)-(3912*x^7))+(6556*x^6)+(4439*x^5)+(2686*x^4)+(2545*x^3))-(264*x^2))+(313*x))-92))/(((((((4*x^12)-(8*x^11)-(4*x^10))+(36*x^9)+(14*x^8)+(76*x^7))-(48*x^6)-(36*x^5)-(13*x^4)-(30*x^3))+(5*x^2))-(4*x))+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003764+(-(-((((20*x^3)-(9*x^2)-(5*x))+1)/((((16*x^5)-(16*x^4)-(29*x^3))+(16*x^2)+(6*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003764+(-(-((((20*x^3)-(9*x^2)-(5*x))+1)/((((16*x^5)-(16*x^4)-(29*x^3))+(16*x^2)+(6*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A003765+(-((-((2*((((12*x^4)-(14*x^3))+(3*x^2)+(4*x))-1))/(((((4*x^5)-(20*x^4))+(19*x^3))-(3*x^2)-(5*x))+1)))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A003765+(-((-((2*((((12*x^4)-(14*x^3))+(3*x^2)+(4*x))-1))/(((((4*x^5)-(20*x^4))+(19*x^3))-(3*x^2)-(5*x))+1)))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = ((1*(A003765+(-((-x)+(-((2*((((12*x^4)-(14*x^3))+(3*x^2)+(4*x))-1))/(((((4*x^5)-(20*x^4))+(19*x^3))-(3*x^2)-(5*x))+1)))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A003765+(-((-x)+(-((2*((((12*x^4)-(14*x^3))+(3*x^2)+(4*x))-1))/(((((4*x^5)-(20*x^4))+(19*x^3))-(3*x^2)-(5*x))+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((2*(A003768+(-((-(4*x^2))+(-((3/4)*x))+(((1/4)*((((((((720*x^7)-(7216*x^6))+(12296*x^5))-(10276*x^4))+(5918*x^3))-(2492*x^2))+(557*x))-39))/(((((((((64*x^8)-(128*x^7))+(256*x^6))-(336*x^5))+(264*x^4))-(148*x^3))+(62*x^2))-(14*x))+1))+(39/4)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.1666666666666667)*differential((A003768+(-((-(4*x^2))+(-((3/4)*x))+(((1/4)*((((((((720*x^7)-(7216*x^6))+(12296*x^5))-(10276*x^4))+(5918*x^3))-(2492*x^2))+(557*x))-39))/(((((((((64*x^8)-(128*x^7))+(256*x^6))-(336*x^5))+(264*x^4))-(148*x^3))+(62*x^2))-(14*x))+1))+(39/4))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.25)*(A003768+(-((-(2*x^3))+(-((3/4)*x))+(((1/4)*((((((((720*x^7)-(7216*x^6))+(12296*x^5))-(10276*x^4))+(5918*x^3))-(2492*x^2))+(557*x))-39))/(((((((((64*x^8)-(128*x^7))+(256*x^6))-(336*x^5))+(264*x^4))-(148*x^3))+(62*x^2))-(14*x))+1))+(39/4)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A003768+(-((-(2*x^3))+(-((3/4)*x))+(((1/4)*((((((((720*x^7)-(7216*x^6))+(12296*x^5))-(10276*x^4))+(5918*x^3))-(2492*x^2))+(557*x))-39))/(((((((((64*x^8)-(128*x^7))+(256*x^6))-(336*x^5))+(264*x^4))-(148*x^3))+(62*x^2))-(14*x))+1))+(39/4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003769+(-((-(((1/7)*((2*x)-5))/((x^2-(5*x))+1)))+(-(2/7/(x+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003769+(-((-(((1/7)*((2*x)-5))/((x^2-(5*x))+1)))+(-(2/7/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A003770+(-(((x^2-(8*x))+1)/(((12*x^3)-(8*x^2)-(11*x))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A003770+(-(((x^2-(8*x))+1)/(((12*x^3)-(8*x^2)-(11*x))+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.3333333333333333)*(A003771+(-((-((6*((6*x)-1))/(((2*x^2)-(7*x))+1)))+(-6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = ((1*differential((A003771+(-((-((6*((6*x)-1))/(((2*x^2)-(7*x))+1)))+(-6))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A333469 = ((1*(A003771+(-((-(3*x))+(-((6*((6*x)-1))/(((2*x^2)-(7*x))+1)))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A003771+(-((-(3*x))+(-((6*((6*x)-1))/(((2*x^2)-(7*x))+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.08333333333333333*(A003772+(-((-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2))+(-16)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.1666666666666667*integrate((A003772+(-((-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2))+(-16))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*differential((A003772+(-((-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2))+(-16))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3)))
+A304519 = ((1*(A003772+(-((12*x)+(-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2))))))+(-(72/((2*x)-1)))+(-(56/(x-1))))
+A339760 = (((-0.0625)*integrate((A003772+(-((12*x)+(-(((2/529)*((55968*x)-12725))/(((6*x^2)+(9*x))-1)))+(-(((6/529)*((7888*x)+6645))/(((2*x^2)-(7*x))+1)))+(-(((12/23)*((1277*x)-206))/(((2*x^2)-(7*x))+1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = (((-1.5)*(A003774+(-((-(-(-((23/6)*x^3))))+(-(-((59/72)*x^2)))+(-(-((131/864)*x)))+(-(((1/10368)*(((107764*x^2)+(198168*x))-20101))/(((48*x^3)+(4*x^2)+(12*x))-1)))+(-(20101/10368))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.5*differential((A003774+(-((-(-(-((23/6)*x^3))))+(-(-((59/72)*x^2)))+(-(-((131/864)*x)))+(-(((1/10368)*(((107764*x^2)+(198168*x))-20101))/(((48*x^3)+(4*x^2)+(12*x))-1)))+(-(20101/10368)))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((7/4)*differential((A003777+(-((1/(x-1))+(10/(x-1)^3)+(6/(x-1)^4)+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/5))*(A003777+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^4)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/5))*differential((A003777+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^4)+1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*(A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+(6/(x-1)^4)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A003777+(-((1/(x-1))+(4/(x-1)^2)+(10/(x-1)^3)+(6/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*differential(A003779))
+A056205 = (None*integrate((A003815+(-((-(1/2/(x+1)))+(1/2/(x+1)^2)+(1/2/(x-1)^2))))))
+A056205 = (None*differential((A003815+(-((-(1/2/(x+1)))+(1/2/(x+1)^2)+(1/2/(x-1)^2))))))
+A339623 = ((14*differential((A003815+(-((((1/2)*(x-1))/(x^2+1))+(-(1/2/(x+1)))+(1/2/(x+1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*differential((A003816+(-((-(((1/2)*(x-1))/(x^2+1)))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/9))*differential((A003878+(-((-(3/(x-1)))+(-(2/(x-1)^3))+(-(33/(x-1)^4))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(33/(x-1)^4))+(-(24/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(33/(x-1)^4))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(36/11))*(A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(24/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/11))*integrate((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/33))*differential((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(33/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(33/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A003878+(-((-(3/(x-1)))+(-(9/(x-1)^2))+(-(2/(x-1)^3))+(-(33/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-(1/3))*differential((A003945+(-(-(1/2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/2))*differential((A003993+(-((-(2/3/((3*x)-1)))+(-(2/(x-1)))+(-(2/3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/8))*differential((A003994+(-((-(((1/2)*(x-1))/((x^2-(6*x))+1)))+(-(2/((3*x)-1)))+(-(7/2/(x-1)))+(-(4/3/((3*x)-1)^2))+(-(4/(x-1)^3))+(-(2/3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A003994+(-((-(((1/2)*(x-1))/((x^2-(6*x))+1)))+(-(2/((3*x)-1)))+(-(7/2/(x-1)))+(-(4/3/((3*x)-1)^2))+(-(8/(x-1)^2))+(-(2/3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A003994+(-((-(((1/2)*(x-1))/((x^2-(6*x))+1)))+(-(2/((3*x)-1)))+(-(7/2/(x-1)))+(-(4/3/((3*x)-1)^2))+(-(8/(x-1)^2))+(-(2/3)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/2)*differential((A004006+(-((1/(x-1))+(2/(x-1)^3)+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*(A004006+(-((1/(x-1))+(2/(x-1)^2)+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A004006+(-((1/(x-1))+(2/(x-1)^2)+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A004006+(-((1/(x-1))+(2/(x-1)^2)+(2/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A004006+(-((1/(x-1))+(2/(x-1)^2)+(2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/2)*differential((A004006+(-((1/(x-1))+(2/(x-1)^3)+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*(A004006+(-((1/(x-1))+(2/(x-1)^2)+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A004006+(-((1/(x-1))+(2/(x-1)^2)+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A004006+(-((1/(x-1))+(2/(x-1)^2)+(2/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A004006+(-((1/(x-1))+(2/(x-1)^2)+(2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/6)*differential((A004068+(-((1/(x-1))+(10/(x-1)^3)+(5/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/5))*(A004068+(-((1/(x-1))+(6/(x-1)^2)+(5/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/5))*differential((A004068+(-((1/(x-1))+(6/(x-1)^2)+(5/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/5)*(A004068+(-((1/(x-1))+(6/(x-1)^2)+(10/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/5)*differential((A004068+(-((1/(x-1))+(6/(x-1)^2)+(10/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/8)*differential((A004126+(-((1/(x-1))+(14/(x-1)^3)+(7/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-1)*(A004126+(-((1/(x-1))+(8/(x-1)^2)+(7/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/7))*differential((A004126+(-((1/(x-1))+(8/(x-1)^2)+(7/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/7)*(A004126+(-((1/(x-1))+(8/(x-1)^2)+(14/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/7)*differential((A004126+(-((1/(x-1))+(8/(x-1)^2)+(14/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A324487 = (((-3)*(A004146+(-(2/(x-1)))))+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((2*((2*x)-1))/((x^2+(4*x))-1))))+(-(-((9*(x+2))/(x^2-x-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A290903 = ((5/x)*A004187)
+A339623 = (((7/10)*differential((A004188+(-((1/(x-1))+(18/(x-1)^3)+(9/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/9))*(A004188+(-((1/(x-1))+(10/(x-1)^2)+(9/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-2)*differential((A004188+(-((1/(x-1))+(10/(x-1)^2)+(9/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((12*(A004188+(-((1/(x-1))+(10/(x-1)^2)+(18/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/3)*integrate((A004188+(-((1/(x-1))+(10/(x-1)^2)+(18/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/9)*differential((A004188+(-((1/(x-1))+(10/(x-1)^2)+(18/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A322052 = (((-(1/x))*A004189)+(-(1/((10*x)-1))))
+A339760 = ((1*(A004253+(-(-(((4*x)-1)/((x^2-(5*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A004253+(-(-(((4*x)-1)/((x^2-(5*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/4))*differential((A004255+(-((-(10/(x-1)^3))+(-(9/(x-1)^4))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/5)*(A004255+(-((-(4/(x-1)^2))+(-(9/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/5)*differential((A004255+(-((-(4/(x-1)^2))+(-(9/(x-1)^4))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-12)*(A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(14/3))*integrate((A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/9))*differential((A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(9/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A004255+(-((-(4/(x-1)^2))+(-(10/(x-1)^3))+(-(9/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(14/3))*(A004256+(-((23/(x-1)^4)+(40/(x-1)^5)+(20/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A004256+(-((23/(x-1)^4)+(40/(x-1)^5)+(20/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/23)*(A004256+(-((3/(x-1)^3)+(40/(x-1)^5)+(20/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/23)*differential((A004256+(-((3/(x-1)^3)+(40/(x-1)^5)+(20/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(4714/5))*(A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(20/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(54/5))*integrate((A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(20/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/100)*differential((A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(20/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/10))*(A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(40/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*integrate((A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(40/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((3128/5)*differential((A004256+(-((3/(x-1)^3)+(23/(x-1)^4)+(40/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/2)*differential((A004273+(-((3/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A004273+(-((3/(x-1))+(2/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004273+(-((3/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A004274+(-((2*x)+(5/(x-1))+(2/(x-1)^2)+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A004274+(-((2*x)+(5/(x-1))+(2/(x-1)^2)+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A004274+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A004274+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A004274+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((7/2)*differential((A004274+(-(x^2+(2*x)+(5/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A004274+(-(x^2+(2*x)+(5/(x-1))+(2/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A004274+(-(x^2+(2*x)+(5/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A004275+(-((4/(x-1))+(2/(x-1)^2)+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A004275+(-((4/(x-1))+(2/(x-1)^2)+2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((7/2)*differential((A004275+(-(x+(4/(x-1))+2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = (((-1)*(A004275+(-(x+(4/(x-1))+(2/(x-1)^2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A004275+(-(x+(4/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((3*(A004276+(-((2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-1)*differential((A004276+(-((2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-2)*(A004276+(-(x^4+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1666666666666667*differential((A004276+(-(x^4+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.3333333333333333*(A004276+(-(x^4+(2*x^3)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-4)*integrate((A004276+(-(x^4+(2*x^3)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.1666666666666667*differential((A004276+(-(x^4+(2*x^3)+(4*x)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A004276+(-(x^4+(2*x^3)+(3*x^2)+(7/(x-1))+(2/(x-1)^2)+5))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A004276+(-(x^4+(2*x^3)+(3*x^2)+(7/(x-1))+(2/(x-1)^2)+5)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A004276+(-(x^4+(2*x^3)+(3*x^2)+(7/(x-1))+(2/(x-1)^2)+5)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339623 = (((7/2)*differential((A004276+(-(x^4+(2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+5)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A336867 = (((-1)*(A004276+(-(x^4+(2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2)))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = ((0.2*integrate((A004276+(-(x^4+(2*x^3)+(3*x^2)+(4*x)+(7/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/2)*differential((A004277+(-((2/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A004277+(-((2/(x-1))+(2/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004277+(-((2/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A004278+(-((2*x^2)+(3*x)+(6/(x-1))+(2/(x-1)^2)+4))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A004278+(-((2*x^2)+(3*x)+(6/(x-1))+(2/(x-1)^2)+4)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.5*(A004278+(-(x^3+(3*x)+(6/(x-1))+(2/(x-1)^2)+4))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A004278+(-(x^3+(3*x)+(6/(x-1))+(2/(x-1)^2)+4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.3333333333333333*(A004278+(-(x^3+(2*x^2)+(6/(x-1))+(2/(x-1)^2)+4))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A004278+(-(x^3+(2*x^2)+(6/(x-1))+(2/(x-1)^2)+4)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339623 = (((7/2)*differential((A004278+(-(x^3+(2*x^2)+(3*x)+(6/(x-1))+4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338042 = (((-1)*(A004278+(-(x^3+(2*x^2)+(3*x)+(6/(x-1))+(2/(x-1)^2)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = ((0.25*integrate((A004278+(-(x^3+(2*x^2)+(3*x)+(6/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A004280+(-((2*x)+(5/(x-1))+(2/(x-1)^2)+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A004280+(-((2*x)+(5/(x-1))+(2/(x-1)^2)+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A004280+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A004280+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A004280+(-(x^2+(5/(x-1))+(2/(x-1)^2)+3)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((7/2)*differential((A004280+(-(x^2+(2*x)+(5/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A004280+(-(x^2+(2*x)+(5/(x-1))+(2/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A004280+(-(x^2+(2*x)+(5/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A004281+(-((2*x^2)+(3*x)+(5/(x-1))+(2/(x-1)^2)+4))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A004281+(-((2*x^2)+(3*x)+(5/(x-1))+(2/(x-1)^2)+4)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.5*(A004281+(-(x^3+(3*x)+(5/(x-1))+(2/(x-1)^2)+4))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A004281+(-(x^3+(3*x)+(5/(x-1))+(2/(x-1)^2)+4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.3333333333333333*(A004281+(-(x^3+(2*x^2)+(5/(x-1))+(2/(x-1)^2)+4))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A004281+(-(x^3+(2*x^2)+(5/(x-1))+(2/(x-1)^2)+4)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339623 = (((7/2)*differential((A004281+(-(x^3+(2*x^2)+(3*x)+(5/(x-1))+4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338042 = (((-1)*(A004281+(-(x^3+(2*x^2)+(3*x)+(5/(x-1))+(2/(x-1)^2)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = ((0.25*integrate((A004281+(-(x^3+(2*x^2)+(3*x)+(5/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-14)*(A004282+(-((9/(x-1)^4)+(18/(x-1)^5)+(10/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A004282+(-((9/(x-1)^4)+(18/(x-1)^5)+(10/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((12*(A004282+(-((1/(x-1)^3)+(18/(x-1)^5)+(10/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/3)*integrate((A004282+(-((1/(x-1)^3)+(18/(x-1)^5)+(10/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/9)*differential((A004282+(-((1/(x-1)^3)+(18/(x-1)^5)+(10/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/9))*(A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(10/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((11887/15)*differential((A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(10/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*(A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(18/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18856*integrate((A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(18/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/5)*differential((A004282+(-((1/(x-1)^3)+(9/(x-1)^4)+(18/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(14/3))*(A004302+(-((15/(x-1)^4)+(22/(x-1)^5)+(10/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A004302+(-((15/(x-1)^4)+(22/(x-1)^5)+(10/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((36/5)*(A004302+(-((3/(x-1)^3)+(22/(x-1)^5)+(10/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/5)*integrate((A004302+(-((3/(x-1)^3)+(22/(x-1)^5)+(10/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/15)*differential((A004302+(-((3/(x-1)^3)+(22/(x-1)^5)+(10/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(18856/11))*(A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(10/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/55)*differential((A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(10/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*(A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(22/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18856*integrate((A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(22/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((6256/5)*differential((A004302+(-((3/(x-1)^3)+(15/(x-1)^4)+(22/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A308726 = ((1*differential((A004303+(-((1/2/((2*x)-1))+(1/(x-1))+(1/(x-1)^2)+1)))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A339760 = ((1*differential((A004303+(-((-((1/2)*sqrt(((-(4*x))+1))))+(1/(x-1))+(1/(x-1)^2)+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = ((7*differential((A004303+(-((-((1/2)*sqrt(((-(4*x))+1))))+(1/2/((2*x)-1))+(1/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A004303+(-((-((1/2)*sqrt(((-(4*x))+1))))+(1/2/((2*x)-1))+(1/(x-1))+(1/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004303+(-((-((1/2)*sqrt(((-(4*x))+1))))+(1/2/((2*x)-1))+(1/(x-1))+(1/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((0.4*(A004306+(-((-(-(6*x^2)))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.03333333333333333)*differential((A004306+(-((-(-(6*x^2)))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.1666666666666667*(A004306+(-((-(10*x^3))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-2)*integrate((A004306+(-((-(10*x^3))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.08333333333333333*differential((A004306+(-((-(10*x^3))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.3333333333333333*(A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))+(-7))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A324632 = (((-1)*(A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-(-(3*x)))+(-(2/(x-1)))+(-7)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(1/(x+1)))+(-8))
+A335155 = ((1*(A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1)))))))+(-x^12)+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2)))
+A339760 = (((-0.1428571428571428)*integrate((A004306+(-((-(10*x^3))+(-(-(6*x^2)))+(-(-(3*x)))+(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1)))+(-(2/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A308726 = (((-1)*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A319200 = ((0.25*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A147316 = (((-0.25)*differential((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A147316 = ((0.1*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A319200 = (((-0.1)*integrate((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A143460 = (((-0.05)*differential((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-0.1666666666666667)*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A147316 = ((0.3333333333333333*integrate((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A143460 = ((0.05555555555555555*differential((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(-(1/x^4))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-1)*(A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.25*differential((A004310+(-(((2*(((2*x)+(3*sqrt(((-(4*x))+1))))-3))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(1/sqrt(((-(4*x))+1))))))+(-(-(4/x)))+(-(-((4*((((-(4*x))+1)^(3/2)+(18*x)+(6*sqrt(((-(4*x))+1))))-7))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1))))))+(-(-(10/x^2)))+(-(-((2*(((3*((4*x)-1)^2)-(14*((-(4*x))+1)^(3/2))-(96*x)-(18*sqrt(((-(4*x))+1))))+29))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1))))))+(-(6/x^3))+(-(((((4*((-(4*x))+1)^(5/2))-(21*((4*x)-1)^2))+(44*((-(4*x))+1)^(3/2))+(184*x)+(24*sqrt(((-(4*x))+1))))-51)/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1)))))+(((((((4*x)-1)^3+(6*((-(4*x))+1)^(5/2)))-(15*((4*x)-1)^2))+(20*((-(4*x))+1)^(3/2))+(60*x)+(6*sqrt(((-(4*x))+1))))-16)/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A308726 = ((1*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((1/2)*((sqrt(((-(4*x))+1))*(sqrt(((2*sqrt(((-(4*x))+1)))-1))-2))+1))/(x*sqrt(((-(4*x))+1))))))
+A319200 = (((-0.1666666666666667)*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A147316 = ((0.1666666666666667*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A147316 = (((-0.02857142857142857)*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A319200 = ((0.02857142857142857*integrate((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A143460 = ((0.01428571428571429*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.01785714285714286*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A147316 = (((-0.03571428571428571)*integrate((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(x/((x^2+x)-1)))+(-(-(-(-(-(-(-(-(-(-(1/x)))))))))))+(-(-(-(-(-(-(-(-(-(2/x^3))))))))))+(-(-(-(-(-(-(-(-(-(3/x^4))))))))))+(-(-(-(-(-(-(-(-(5/x^5)))))))))+(-(-(-(-(-(-(-(-(8/x^6)))))))))+(-(-(-(-(-(-(-(13/x^7))))))))+(-(-(-(-(-(-(-(21/x^8))))))))+(-(-(-(-(-(-(34/x^9)))))))+(-(-(-(-(-(-(55/x^10)))))))+(-(-(-(-(-(89/x^11))))))+(-(-(-(-(-(144/x^12))))))+(-(-(-(-(233/x^13)))))+(-(-(-(-(377/x^14)))))+(-(-(-(610/x^15))))+(-(-(-(987/x^16))))+(-(-(1597/x^17)))+(-(-(2584/x^18)))+(-(4181/x^19))+(-(6765/x^20)))
+A143460 = (((-0.005952380952380952)*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.02777777777777778*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-0.08333333333333333)*integrate((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-0.006944444444444444)*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-0.1)*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^6)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.02*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(1/x^6))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^5)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = (((-1)*(A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1)))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^5)+(1/x^7)+(1/x^8)+(1/x^9))
+A143460 = ((0.1666666666666667*differential((A004312+(-(((4*((x+(2*sqrt(((-(4*x))+1))))-2))/((((2*x)+sqrt(((-(4*x))+1)))-1)*sqrt(((-(4*x))+1))))+(-(-(-(-(1/sqrt(((-(4*x))+1)))))))+(-(-(-(6/x))))+(-(-(-((6*((((-(4*x))+1)^(3/2)+(22*x)+(8*sqrt(((-(4*x))+1))))-9))/((((2*x)+sqrt(((-(4*x))+1)))-1)^2*sqrt(((-(4*x))+1)))))))+(-(-(-(35/x^2))))+(-(-(-((5*(((3*((4*x)-1)^2)-(16*((-(4*x))+1)^(3/2))-(120*x)-(24*sqrt(((-(4*x))+1))))+37))/((((2*x)+sqrt(((-(4*x))+1)))-1)^3*sqrt(((-(4*x))+1)))))))+(-(-(56/x^3)))+(-(-((5*((((4*((-(4*x))+1)^(5/2))-(23*((4*x)-1)^2))+(52*((-(4*x))+1)^(3/2))+(232*x)+(32*sqrt(((-(4*x))+1))))-65))/((((2*x)+sqrt(((-(4*x))+1)))-1)^4*sqrt(((-(4*x))+1))))))+(-(-(36/x^4)))+(-((3*(((((5*((4*x)-1)^3)+(32*((-(4*x))+1)^(5/2)))-(85*((4*x)-1)^2))+(120*((-(4*x))+1)^(3/2))+(380*x)+(40*sqrt(((-(4*x))+1))))-102))/((((2*x)+sqrt(((-(4*x))+1)))-1)^5*sqrt(((-(4*x))+1)))))+(-(10/x^5))+(-((((((6*((-(4*x))+1)^(7/2))+(43*((4*x)-1)^3)+(132*((-(4*x))+1)^(5/2)))-(225*((4*x)-1)^2))+(230*((-(4*x))+1)^(3/2))+(564*x)+(48*sqrt(((-(4*x))+1))))-148)/((((2*x)+sqrt(((-(4*x))+1)))-1)^6*sqrt(((-(4*x))+1)))))+(-(((((((4*x)-1)^4-(8*((-(4*x))+1)^(7/2))-(28*((4*x)-1)^3)-(56*((-(4*x))+1)^(5/2)))+(70*((4*x)-1)^2))-(56*((-(4*x))+1)^(3/2))-(112*x)-(8*sqrt(((-(4*x))+1))))+29)/((((2*x)+sqrt(((-(4*x))+1)))-1)^7*sqrt(((-(4*x))+1))))))))))+(-(((3*x^9)+(3*x^8)+(3*x^7)+(3*x^6)+(3*x^5)+(3*x^4)+(3*x^3)+(3*x^2)+(3*x)+1)/(((3*x^10)+x)-1)))+(1/x)+(1/x^2)+(1/x^3)+(1/x^4)+(1/x^5)+(1/x^6)+(1/x^8)+(1/x^9))
+A339623 = ((14*(A004320+(-((-(5/(x-1)^4))+(-(4/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A004320+(-((-(5/(x-1)^4))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/5))*(A004320+(-((-(1/(x-1)^3))+(-(4/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/5))*differential((A004320+(-((-(1/(x-1)^3))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*(A004320+(-((-(1/(x-1)^3))+(-(5/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A004320+(-((-(1/(x-1)^3))+(-(5/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A004320+(-((-(1/(x-1)^3))+(-(5/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((7*differential((A004442+(-((1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A328943 = (((-0.5)*(A004443+(-((1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004443+(-(((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A328943 = (((-0.5)*(A004444+(-((1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004444+(-(((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A266912 = ((0.75*(A004445+(-((1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004445+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A266912 = ((0.75*(A004446+(-((1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004446+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A266912 = ((0.75*(A004447+(-(((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004447+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004447+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A266912 = ((0.75*(A004448+(-(((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004448+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004448+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004449+(-((1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A339623 = ((7*differential((A004449+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004450+(-((1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A339623 = ((7*differential((A004450+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004451+(-(((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A328943 = (((-0.5)*(A004451+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004451+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004452+(-(((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A328943 = (((-0.5)*(A004452+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004452+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004453+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004453+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004453+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004454+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004454+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004454+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004455+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004455+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004455+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004455+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004456+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004456+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004456+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004456+(-(((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004457+(-((1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A339623 = ((7*differential((A004457+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004458+(-((1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A339623 = ((7*differential((A004458+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004459+(-(((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A328943 = (((-0.5)*(A004459+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004459+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004460+(-(((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A328943 = (((-0.5)*(A004460+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004460+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004461+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004461+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004461+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004462+(-(((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004462+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A339623 = ((7*differential((A004462+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004463+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004463+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((2*(x+1))/(x^2+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004463+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004463+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A004465 = ((1*(A004464+(-(((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1))+(1/(x-1)^2))
+A266912 = ((0.75*(A004464+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(((3/2)*(x+1))/(x^2+1)))+(-(3/4/(x+1)))+(-(63/4/(x-1)))+(-(25/2/(x-1)^2))+(-2))
+A328943 = (((-0.5)*(A004464+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+(1/(x+1))+(1/(x-1))+(1/(x-1)^2)))))+(-(1/2/(x+1)))+(-(7/2/(x-1))))
+A339623 = ((7*differential((A004464+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((4*(x^3+x^2+x+1))/(x^4+1))+((2*(x+1))/(x^2+1))+(1/(x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A004465+(-(((16*(x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^16+1))+((8*(x^7+x^6+x^5+x^4+x^3+x^2+x+1))/(x^8+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/11)*differential((A004466+(-((1/(x-1))+(20/(x-1)^3)+(10/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/10))*(A004466+(-((1/(x-1))+(11/(x-1)^2)+(10/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/5))*differential((A004466+(-((1/(x-1))+(11/(x-1)^2)+(10/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((54/5)*(A004466+(-((1/(x-1))+(11/(x-1)^2)+(20/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((4714/5)*differential((A004466+(-((1/(x-1))+(11/(x-1)^2)+(20/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/12)*differential((A004467+(-((1/(x-1))+(22/(x-1)^3)+(11/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/11))*(A004467+(-((1/(x-1))+(12/(x-1)^2)+(11/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(18/11))*differential((A004467+(-((1/(x-1))+(12/(x-1)^2)+(11/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/11)*(A004467+(-((1/(x-1))+(12/(x-1)^2)+(22/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/11)*differential((A004467+(-((1/(x-1))+(12/(x-1)^2)+(22/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A301773 = (((-1)*(A004483+(-((1/(x-1))+(1/(x-1)^2)))))+(-(((3*x)-2)/((x^2-(3*x))+1))))
+A339623 = ((7*differential((A004483+(-(((x+2)/(x^2+x+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A004492+(-(((3*((2*x^5)+(2*x^4)+(2*x^3)+x^2+x+1))/(x^6+x^3+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*differential((A004495+(-(((3*(x^5+x^4+x^3+(2*x^2)+(2*x)+2))/(x^6+x^3+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A334514 = (((1/x)*differential((A004524+(-((1/(x-1))+(1/2/(x-1)^2))))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A339623 = ((14*differential((A004524+(-((1/2/(x^2+1))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*differential((A004525+(-((((1/2)*x)/(x^2+1))+(1/2/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*differential((A004526+(-((1/4/(x+1))+(3/4/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*differential((A004538+(-((1/(x-1))+(-(6/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A004538+(-((1/(x-1))+(-(6/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A004538+(-((1/(x-1))+(-(6/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A268099 = ((5*A004643)+(1/(x-1)))
+A337962 = ((37712*differential((A004657+(-((1/4/(x^2+1))+(3/16/(x+1)^2)+(9/16/(x-1)^2)+(1/4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*differential((A004657+(-((1/4/(x^2+1))+(3/16/(x+1)^2)+(9/16/(x-1)^2)+(1/4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/4))*differential((A004766+(-((3/(x-1))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A004766+(-((3/(x-1))+(-(4/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A004766+(-((3/(x-1))+(-(4/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/4)*differential((A004767+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/8)*differential((A004768+(-(-(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/8)*differential((A004769+(-(-(3/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/8)*differential((A004770+(-((11/(x-1))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = (((-1)*(A004770+(-((11/(x-1))+(8/(x-1)^2)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A004770+(-((11/(x-1))+(8/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A004772+(-((-(((1/3)*x)/(x^2+x+1)))+(7/3/(x-1))+(4/3/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004772+(-((-(((1/3)*x)/(x^2+x+1)))+(7/3/(x-1))+(4/3/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A004774+(-((-x)+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)+2))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A004774+(-((-x)+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)+2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A004774+(-(x^2+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A004774+(-(x^2+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)+2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = (((-1)*(A004774+(-(x^2+(-x)+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A004774+(-(x^2+(-x)+(-(((1/7)*(x^4+(3*x^3)+(6*x^2)+(3*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(3/(x-1))+(8/7/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((3*(A004775+(-((-x^3)+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-1)*differential((A004775+(-((-x^3)+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((4*(A004775+(-(x^4+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A004775+(-(x^4+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*(A004775+(-(x^4+(-x^3)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A004775+(-(x^4+(-x^3)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A004775+(-(x^4+(-x^3)+(-x^2)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A004775+(-(x^4+(-x^3)+(-x^2)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)+2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = (((-1)*(A004775+(-(x^4+(-x^3)+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A004775+(-(x^4+(-x^3)+(-x^2)+(-x)+(-(((1/7)*(((2*x^5)+(5*x^4)+(2*x^3))-x-1))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(23/7/(x-1))+(8/7/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A004776+(-((-(((1/7)*((3*x^5)-(2*x^3)-(3*x^2)-(3*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(17/7/(x-1))+(8/7/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A004776+(-((-(((1/7)*((3*x^5)-(2*x^3)-(3*x^2)-(3*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(17/7/(x-1))+(8/7/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339610 = (((-1)*(A004777+(-((((1/7)*(((2*x^5)+(3*x^4)+(3*x^3)+(2*x^2))-3))/(x^6+x^5+x^4+x^3+x^2+x+1))+(19/7/(x-1))+(8/7/(x-1)^2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A004777+(-((((1/7)*(((2*x^5)+(3*x^4)+(3*x^3)+(2*x^2))-3))/(x^6+x^5+x^4+x^3+x^2+x+1))+(19/7/(x-1))+(8/7/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A004794+(-((-(((1/6)*(x^3+x^2+x+1))/(x^4+(3*x^3)+(8*x^2)+(3*x)+1)))+(-(((1/6)*((x^3-(3*x^2))+(4*x)))/((((x^4-(3*x^3))+(8*x^2))-(3*x))+1)))+(-(((1/3)*(x-2))/((x^2-(3*x))+1)))+(-(((1/6)*x)/(x^2+(3*x)+1)))+(-(1/2/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A004794+(-((-(((1/6)*(x^3+x^2+x+1))/(x^4+(3*x^3)+(8*x^2)+(3*x)+1)))+(-(((1/6)*((x^3-(3*x^2))+(4*x)))/((((x^4-(3*x^3))+(8*x^2))-(3*x))+1)))+(-(((1/3)*(x-2))/((x^2-(3*x))+1)))+(-(((1/6)*x)/(x^2+(3*x)+1)))+(-(1/2/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338192 = (((-(1/4))*(A004799+(-((5*x)/((x^2+x)-1)^2))))+(-(x^2/((x^3+x^2+x)-1))))
+A291916 = (((-(1/5))*(A004799+(-((4*x)/((x^2+x)-1)))))+(-((x+1)/((x^2+x)-1)))+(-(-(1/(x-1))))+(-2))
+A339623 = (((-(7/3571))*differential((A004972+(-((3570/(x-1))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A004972+(-((3570/(x-1))+(-(3571/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A004972+(-((3570/(x-1))+(-(3571/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((3*(A005005+(-((3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-1)*differential((A005005+(-((3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-1.333333333333333)*(A005005+(-(x^4+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1111111111111111*differential((A005005+(-(x^4+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.2*(A005005+(-(x^4+(3*x^3)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.1*differential((A005005+(-(x^4+(3*x^3)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.1111111111111111*(A005005+(-(x^4+(3*x^3)+(5*x^2)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A330395 = (((-1)*differential((A005005+(-(x^4+(3*x^3)+(5*x^2)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)+13)))))+(2*x^4)+(-(-(5*x^3)))+(-(-(4*x^2)))+(-(-x))+(-(-(19/(x-1))))+(-(-(11/(x-1)^2)))+(-(1/(x-1)^4)))
+A339623 = (((7/6)*differential((A005005+(-(x^4+(3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+13)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A329771 = (((-1)*(A005005+(-(x^4+(3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2)))))+(3*x^7)+(-(4*x^6))+(-x^5)+(-(2*x^4))+(-(5*x^3))+(-(8*x^2))+(-(11*x))+(-(14/(x-1))))
+A339760 = ((0.07692307692307693*integrate((A005005+(-(x^4+(3*x^3)+(5*x^2)+(9*x)+(1/2/(x+1))+(39/2/(x-1))+(6/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.2857142857142857*A005009)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/14))*differential(A005009))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((0.2222222222222222*A005010)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/18))*differential(A005010))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A140833 = ((1*(A005013+(-(-(1/((x^2+x)-1))))))+(-((x+1)/((x^2+x)-1))))
+A338192 = ((x*(A005013+(-((x+1)/(x^2-x-1)))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = (((-1)*differential((A005013+(-((x+1)/(x^2-x-1))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A339760 = ((0.1818181818181818*A005015)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/22))*differential(A005015))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A188827 = ((1*(A005022+(-((-(2/((2*x)-1)))+(-1)))))+(20*x)+(-(((2*x)+1)/((2*x^2)-1)))+(-4))
+A339760 = ((1*(A005022+(-((-(((2*x)-3)/(((2*x^2)-(4*x))+1)))+(-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/4))*differential((A005022+(-((-(((2*x)-3)/(((2*x^2)-(4*x))+1)))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((1*(A005022+(-((-(((2*x)-3)/(((2*x^2)-(4*x))+1)))+(-(2/((2*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005022+(-((-(((2*x)-3)/(((2*x^2)-(4*x))+1)))+(-(2/((2*x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A005023+(-((((1/3)*(x^2-(8*x)-2))/(((x^3-(9*x^2))+(6*x))-1))+(-(1/3/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005023+(-((((1/3)*(x^2-(8*x)-2))/(((x^3-(9*x^2))+(6*x))-1))+(-(1/3/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A122588 = (x*(A005025+(-(-1))))
+A339760 = ((1*(A005025+(-(-(1/(((((x^5-(15*x^4))+(35*x^3))-(28*x^2))+(9*x))-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005025+(-(-(1/(((((x^5-(15*x^4))+(35*x^3))-(28*x^2))+(9*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.1538461538461539*A005029)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/26))*differential(A005029))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((2*(A005056+(-((-(1/((3*x)-1)))+(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A005056+(-((-(1/((3*x)-1)))+(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-2)*(A005057+(-(-(1/((5*x)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((1/2)*differential((A005057+(-(-(1/((5*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A330170 = ((1*(A005062+(-(1/((5*x)-1)))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A339760 = ((2*(A005126+(-(1/(x-1)^2))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A005126+(-(1/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = ((7*differential((A005126+(-(-(1/((2*x)-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A335155 = ((((-(1.01020203030404*e))-7)*(A005151+(-((-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A335155 = ((((1.68367005050673*e)-8)*differential((A005151+(-((-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A335155 = ((((-(1.01010101010101*e))-7)*(A005151+(-((9899010*x^12)+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A335155 = ((((6.06060606060606*e)-7)*integrate((A005151+(-((9899010*x^12)+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A335365 = ((((-(9.18273645546373*e))-9)*differential((A005151+(-((9899010*x^12)+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(2.04102459434636*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(5.1025614858659*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(2.35758967764252*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(3.66736172077725*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(3.31594970386437*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(5.92133875690067*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((((-(4.75961538690366*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A338024 = ((((1.3598901105439*e)-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((9.47368874792461*e)-8)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((-(1.5789481246541*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((-(9.38121417490204*e))-8)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((-(2.81436425247061*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((((-(1.40705012784926*e))-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((((4.69016709283088*e)-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((((1.87597084422393*e)-7)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((((-(1.56330903685327*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((((-(4.68992491101923*e))-8)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((((-(2.34496245550961*e))-8)*differential((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322313*x))+(-(21322314/(x-1)))+(-21322314))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((((-(4.68992271148069*e))-8)*(A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322314/(x-1)))+(-21322314)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((((-(4.68992249152695*e))-8)*integrate((A005151+(-((9899010*x^12)+(-(19800000*x^11))+(-(9799000*x^10))+(-(21208101*x^9))+(-(21110091*x^8))+(-(21010101*x^7))+(-(21111101*x^6))+(-(21319202*x^5))+(-(21321202*x^4))+(-(21322293*x^3))+(-(21322303*x^2))+(-(21322313*x))+(-(21322314/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335365 = ((2*(A005152+(-(x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((0.5*differential((A005152+(-(x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((7*(A005152+(-(x^10+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((1.25*differential((A005152+(-(x^10+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((10*(A005152+(-(x^10+x^8+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A338024 = (((-0.2857142857142857)*differential((A005152+(-(x^10+x^8+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = (((-2)*(A005152+(-(x^10+x^8+x^7+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.3333333333333333*differential((A005152+(-(x^10+x^8+x^7+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((2*(A005152+(-(x^10+x^8+x^7+x^6+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.6*differential((A005152+(-(x^10+x^8+x^7+x^6+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((1.5*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = (((-2)*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1666666666666667*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((0.3333333333333333*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = (((-4)*integrate((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = ((0.1666666666666667*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(4*x)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.25*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(8/(x-1))+(2/(x-1)^2)+6))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*integrate((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(8/(x-1))+(2/(x-1)^2)+6)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A338042 = (((-1)*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(8/(x-1))+(2/(x-1)^2)+6)))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339623 = (((7/2)*differential((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A333469 = (((-1)*(A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = ((0.1666666666666667*integrate((A005152+(-(x^10+x^8+x^7+x^6+x^5+(2*x^4)+(2*x^3)+(3*x^2)+(4*x)+(8/(x-1))+(2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((0.1111111111111111*(A005173+(-((-(12*x^2))+(-(13*x))+(-(14/(x-1)))+(-14)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A338024 = (((-0.3333333333333333)*integrate((A005173+(-((-(12*x^2))+(-(13*x))+(-(14/(x-1)))+(-14))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A339623 = (((-0.009259259259259259)*differential((A005173+(-((-(12*x^2))+(-(13*x))+(-(14/(x-1)))+(-14))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.08333333333333333)*(A005173+(-((-(36*x^3))+(-(13*x))+(-(14/(x-1)))+(-14)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A337120 = ((1*integrate((A005173+(-((-(36*x^3))+(-(13*x))+(-(14/(x-1)))+(-14))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339760 = (((-0.04166666666666666)*differential((A005173+(-((-(36*x^3))+(-(13*x))+(-(14/(x-1)))+(-14))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.07692307692307693)*(A005173+(-((-(36*x^3))+(-(12*x^2))+(-(14/(x-1)))+(-14)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A329771 = ((1*differential((A005173+(-((-(36*x^3))+(-(12*x^2))+(-(14/(x-1)))+(-14))))))+(3*x^7)+(-(4*x^6))+(-x^5)+(-(2*x^4))+(-(5*x^3))+(-(8*x^2))+(-(11*x))+(-(14/(x-1))))
+A317252 = (((-1)*(A005173+(-((-(36*x^3))+(-(12*x^2))+(-(13*x))+(-(14/(x-1)))))))+(((1/7)*(x^5+(3*x^4)+(5*x^3)+(6*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(-(((3/10)*(x^3+(2*x^2)+(2*x)))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/10)*(x^3-(2*x^2)-(2*x)-4))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(((3/8)*(x^2+(2*x)+1))/(x^4+1)))))+(-(-(-(((1/108)*((35*x)-39))/(x^2+x+1)))))+(-(-(-(((1/32)*((33*x)-4))/(x^2+1)))))+(-(-(-(((11/36)*(x+1))/((x^2-x)+1)))))+(-(-(-(20801/23040/(x+1)))))+(-(-(13982533/483840/(x-1))))+(-(-(((1/8)*x)/(x^2+1)^2)))+(-(1/18/(x^2+x+1)^2))+(-(127/768/(x+1)^2))+(-(560555/24192/(x-1)^2))+(-(5/384/(x+1)^3))+(222953/20160/(x-1)^3)+(625/192/(x-1)^4)+(53/96/(x-1)^5)+(1/24/(x-1)^6))
+A339760 = (((-0.07142857142857142)*integrate((A005173+(-((-(36*x^3))+(-(12*x^2))+(-(13*x))+(-(14/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005183+(-((-(1/(x-1)))+(1/2/((2*x)-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((2*differential((A005183+(-((1/2/((2*x)-1))+(-(1/(x-1))))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A056205 = (None*differential(A005191))
+A056205 = (None*integrate((A005207+(-((-(1/2/((x^2+x)-1)))+(-1))))))
+A056205 = (None*differential((A005207+(-((-(1/2/((x^2+x)-1)))+(-1))))))
+A339760 = ((1*(A005207+(-((-(((1/2)*((2*x)-1))/((x^2-(3*x))+1)))+(-(1/2/((x^2+x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005207+(-((-(((1/2)*((2*x)-1))/((x^2-(3*x))+1)))+(-(1/2/((x^2+x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005232+(-((-(-(3/16/(x+1))))+(-(-(3/16/(x-1))))+(-(3/32/(x+1)^2))+(-(5/32/(x-1)^2))+(-(1/8/(x-1)^3))+(1/8/(x-1)^4))))))
+A056205 = (None*differential((A005232+(-((-(-(3/16/(x+1))))+(-(-(3/16/(x-1))))+(-(3/32/(x+1)^2))+(-(5/32/(x-1)^2))+(-(1/8/(x-1)^3))+(1/8/(x-1)^4))))))
+A140833 = (((-1)*(A005247+(-(-(1/((x^2+x)-1))))))+(-((x+1)/((x^2+x)-1))))
+A338192 = ((x*(A005247+(-(-((x+1)/(x^2-x-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = (((-1)*differential((A005247+(-(-((x+1)/(x^2-x-1)))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A324487 = (((-3)*A005248)+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((2*((2*x)-1))/((x^2+(4*x))-1))))+(-(-((9*(x+2))/(x^2-x-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A339623 = (((-(7/3))*differential((A005262+(-((-(14/3/((2*x)-1)))+(-(-(1/6/(x+1))))+(-(1/2/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A005286+(-((1/(x-1))+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A005286+(-((1/(x-1))+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A005286+(-((1/(x-1))+(-(1/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A005286+(-((1/(x-1))+(-(1/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337120 = (((-4)*(A005287+(-((-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A005287+(-((-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.5)*(A005287+(-(x^3+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A005287+(-(x^3+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A005287+(-(x^3+(-(2*x^2))+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005287+(-(x^3+(-(2*x^2))+(-(1/(x-1)^2))+(-(2/(x-1)^4))+(-(1/(x-1)^5)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((-7)*differential((A005287+(-(x^3+(-(2*x^2))+(-x)+(-(2/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-54)*(A005287+(-(x^3+(-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-4714)*differential((A005287+(-(x^3+(-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A005287+(-(x^3+(-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A005287+(-(x^3+(-(2*x^2))+(-x)+(-(1/(x-1)^2))+(-(2/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338024 = (((-2)*(A005288+(-((-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.3333333333333333*differential((A005288+(-((-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.6666666666666666*(A005288+(-(x^6+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((0.2*differential((A005288+(-(x^6+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A338024 = ((1.5*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-0.5)*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((1*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((7/2)*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/5))*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/5))*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(1/(x-1)^6))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(1/(x-1)^6))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(1/(x-1)^6))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((71322*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-1))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005288+(-(x^6+(-(-(3*x^5)))+(-(-(2*x^4)))+(-(-x^2))+(-(-x))+(-(-(2/(x-1))))+(-(-(2/(x-1)^2)))+(-(1/(x-1)^3))+(-(5/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337962 = ((25024*differential((A005289+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(5/288/(x-1))))+(-(1/32/(x+1)^2))+(-(31/288/(x-1)^2))+(1/2/(x-1)^3)+(37/24/(x-1)^4)+(3/2/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((14*differential((A005308+(-((-(1/4/(x+1)))+(5/4/(x-1))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A005308+(-((-(1/4/(x+1)))+(5/4/(x-1))+(1/2/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A005308+(-((-(1/4/(x+1)))+(5/4/(x-1))+(1/2/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((7*differential((A005313+(-((-(((1/5)*((3*x)-2))/((x^2-(3*x))+1)))+(1/10/(x+1))+(3/2/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A332863 = (((-(1/x))*A005314)+(-(((x^2+(10*x))-5)/(((x^3-x^2)+(2*x))-1)^2))+((2*(((7*x^2)-(8*x))+2))/(((x^3-x^2)+(2*x))-1)^3))
+A056205 = (None*integrate(A005314))
+A056205 = (None*differential(A005314))
+A056205 = (None*integrate((A005317+(-(-(sqrt((-(((4*x)-1)*((2*x)-1)^2)))/((4*x)-1)))))))
+A056205 = (None*differential((A005317+(-(-(sqrt((-(((4*x)-1)*((2*x)-1)^2)))/((4*x)-1)))))))
+A279561 = ((None*(A005317+(-(((1/2)*(sqrt((-(((4*x)-1)*((2*x)-1)^2)))-1))/((2*x)-1)))))+(((1/6)*(sqrt(((((-(16*x^3))+(20*x^2))-(8*x))+1))-3))/(x-1)))
+A056205 = (None*integrate((A005317+(-(((1/2)*(sqrt((-(((4*x)-1)*((2*x)-1)^2)))-1))/((2*x)-1))))))
+A056205 = (None*differential((A005317+(-(((1/2)*(sqrt((-(((4*x)-1)*((2*x)-1)^2)))-1))/((2*x)-1))))))
+A277662 = ((None*A005319)+((3*x^3)/((x^2-(6*x))+1)^2.5)+(-((4*x^2)/((x^2-(6*x))+1)^2.5))+(((3*x)-1)/((x^2-(6*x))+1)^2)+((3*x)/((x^2-(6*x))+1)^2.5))
+A056205 = (None*integrate(A005319))
+A056205 = (None*differential(A005319))
+A291182 = ((None*A005320)+(-(1/((x^2-(3*x))+1))))
+A056205 = (None*integrate(A005320))
+A056205 = (None*differential(A005320))
+A338024 = ((None*(A005337+(-((-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005337+(-((-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A056205 = (None*differential((A005337+(-((-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A338024 = ((None*(A005337+(-((6*x^6)+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005337+(-((6*x^6)+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A056205 = (None*differential((A005337+(-((6*x^6)+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A338024 = ((None*(A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A056205 = (None*differential((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A337120 = ((None*(A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A056205 = (None*differential((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A339623 = ((None*(A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A056205 = (None*differential((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A339760 = ((None*(A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A056205 = (None*differential((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A339751 = ((None*(A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A056205 = (None*differential((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))+(-91))))))
+A339751 = ((None*(A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(1/(x-1)^4))+(-91)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(1/(x-1)^4))+(-91))))))
+A056205 = (None*differential((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(1/(x-1)^4))+(-91))))))
+A338588 = (((-108)*(A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-91)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-91))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A259414 = ((None*(A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4))))))+(((9/4)*(((61*x^3)+(4481*x^2))-(4481*x)-61))/(x^4+(1298*x^2)+1))+(-(-(((13/16)*((317*x)-91))/(x^2-(36*x)-1))))+(-(((13/16)*((91*x)-317))/((x^2+(36*x))-1)))+(-(357/8/(x-1))))
+A056205 = (None*integrate((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4)))))))
+A056205 = (None*differential((A005337+(-((6*x^6)+(-(-(4*x^5)))+(-(-(5*x^4)))+(-(-(20*x^3)))+(-(-(40*x^2)))+(-(-(64*x)))+(-(-(120/(x-1))))+(-(-(30/(x-1)^2)))+(-(1/(x-1)^4)))))))
+A335365 = ((None*(A005338+(-((-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005338+(-((-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A335365 = ((None*(A005338+(-((-(7*x^9))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A335365 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A338024 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A338024 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A338024 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A337120 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A339623 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A339760 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A339751 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A339751 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(40/(x-1)^3))+(-(1/(x-1)^5))+69)))))
+A339623 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(1/(x-1)^5))+69))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(1/(x-1)^5))+69)))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(1/(x-1)^5))+69)))))
+A337962 = ((37712*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+69))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+69)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A205818 = ((None*(A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5))))))+(-((3*((((2*x^5)+(10*x^4))-(36*x^3)-(43*x^2))+(18*x)+15))/((((2*x^6)-(2*x^5)-(14*x^4))+(11*x^2)+(2*x))-1)))+(-((12*(x+2))/((x^2+x)-1))))
+A056205 = (None*integrate((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5)))))))
+A056205 = (None*differential((A005338+(-((-(7*x^9))+(-(-(24*x^8)))+(-(-(50*x^7)))+(-(-(80*x^6)))+(-(-(106*x^5)))+(-(-(120*x^4)))+(-(-(115*x^3)))+(-(-(85*x^2)))+(-(-(25*x)))+(-(200/(x-1)))+(-(170/(x-1)^2))+(-(40/(x-1)^3))+(-(1/(x-1)^5)))))))
+A335155 = ((None*(A005339+(-((-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A005339+(-((-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-((-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A335155 = ((None*(A005339+(-(x^12+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A005339+(-(x^12+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A335365 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A335365 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A335365 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A335365 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A338024 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A338024 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A338024 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A337120 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A339623 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A339760 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A339751 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A339623 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(50/(x-1)^4))+(1/(x-1)^6)+2173)))))
+A338588 = ((None*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(1/(x-1)^6)+2173))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(1/(x-1)^6)+2173)))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(1/(x-1)^6)+2173)))))
+A337962 = (((-71322)*(A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+2173))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((12512*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+2173)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6))))))
+A056205 = (None*differential((A005339+(-(x^12+(-(6*x^11))+(-(21*x^10))+(-(52*x^9))+(-(127*x^8))+(-(262*x^7))+(-(462*x^6))+(-(722*x^5))+(-(1028*x^4))+(-(1358*x^3))+(-(1683*x^2))+(-(1968*x))+(-(2254/(x-1)))+(-(90/(x-1)^2))+(-(220/(x-1)^3))+(-(50/(x-1)^4))+(1/(x-1)^6))))))
+A335155 = ((None*(A005340+(-((-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A005340+(-((-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A335155 = ((None*(A005340+(-((21*x^12)+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A335365 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A335365 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A335365 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A335365 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A338024 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A338024 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A338024 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A337120 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A339623 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A339760 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A339751 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A339751 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A339623 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A338588 = ((None*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(60/(x-1)^5))+(-(1/(x-1)^7))+(-16757))))))
+A337962 = (((9428/15)*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(1/(x-1)^7))+(-16757)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(1/(x-1)^7))+(-16757))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(1/(x-1)^7))+(-16757))))))
+A337962 = ((75072*(A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-16757)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(41310/7))*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-16757))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7)))))))
+A056205 = (None*differential((A005340+(-((21*x^12)+(-(-(73*x^11)))+(-(-(136*x^10)))+(-(-(154*x^9)))+(-(-(41*x^8)))+(-(-(307*x^7)))+(-(-(1000*x^6)))+(-(-(2143*x^5)))+(-(-(3826*x^4)))+(-(-(6115*x^3)))+(-(-(9044*x^2)))+(-(-(12608*x)))+(-(-(21391/(x-1))))+(-(-(4965/(x-1)^2)))+(-(-(120/(x-1)^3)))+(-(270/(x-1)^4))+(-(60/(x-1)^5))+(-(1/(x-1)^7)))))))
+A339760 = ((1*(A005367+(-((-(4/((4*x)-1)))+(2/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/4))*differential((A005367+(-((-(4/((4*x)-1)))+(2/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A056205 = (None*integrate((A005386+(-(-(2/7/(x+1)))))))
+A056205 = (None*differential((A005386+(-(-(2/7/(x+1)))))))
+A056205 = (None*integrate(A005389))
+A056205 = (None*differential(A005389))
+A339623 = (((7/2)*differential((A005408+(-(1/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A005409+(-((-(1/((x^2+(2*x))-1)))+(1/(x-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A005409+(-((-(1/((x^2+(2*x))-1)))+(1/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A309717 = ((None*(A005409+(-(x+(1/(x-1))))))+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A056205 = (None*integrate((A005409+(-(x+(1/(x-1)))))))
+A056205 = (None*differential((A005409+(-(x+(1/(x-1)))))))
+A056205 = (None*integrate((A005418+(-((-(((1/2)*(x+1))/((2*x^2)-1)))+(-(1/4/((2*x)-1))))))))
+A056205 = (None*differential((A005418+(-((-(((1/2)*(x+1))/((2*x^2)-1)))+(-(1/4/((2*x)-1))))))))
+A056205 = (None*integrate((A005418+(-((-(((1/2)*(x+1))/((2*x^2)-1)))+(-(1/4/((2*x)-1))))))))
+A056205 = (None*differential((A005418+(-((-(((1/2)*(x+1))/((2*x^2)-1)))+(-(1/4/((2*x)-1))))))))
+A056205 = (None*integrate((A005429+(-(((20*x^2)/((-(4*x))+1)^3.5)+((2*x)/((-(4*x))+1)^3.5))))))
+A056205 = (None*differential((A005429+(-(((20*x^2)/((-(4*x))+1)^3.5)+((2*x)/((-(4*x))+1)^3.5))))))
+A056205 = (None*integrate((A005429+(-(((8*x^3)/((-(4*x))+1)^3.5)+((2*x)/((-(4*x))+1)^3.5))))))
+A056205 = (None*differential((A005429+(-(((8*x^3)/((-(4*x))+1)^3.5)+((2*x)/((-(4*x))+1)^3.5))))))
+A056205 = (None*integrate((A005429+(-(((8*x^3)/((-(4*x))+1)^3.5)+((20*x^2)/((-(4*x))+1)^3.5))))))
+A056205 = (None*differential((A005429+(-(((8*x^3)/((-(4*x))+1)^3.5)+((20*x^2)/((-(4*x))+1)^3.5))))))
+A056205 = (None*integrate(A005430))
+A056205 = (None*differential(A005430))
+A337120 = ((None*(A005436+(-((-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A005436+(-((-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A056205 = (None*differential((A005436+(-((-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A056205 = (None*integrate((A005436+(-((-((1/4)*x^3))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A056205 = (None*differential((A005436+(-((-((1/4)*x^3))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A339623 = ((None*(A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A056205 = (None*differential((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A339760 = ((None*(A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A056205 = (None*differential((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A339240 = ((None*(A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(1/128/((4*x)-1)^2))+(-(3/256))))))+(x/((-(4*x))+1)^1.5)+(1/4/((4*x)-1)^2))
+A056205 = (None*integrate((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A056205 = (None*differential((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(1/128/((4*x)-1)^2))+(-(3/256)))))))
+A339240 = ((None*(A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(3/256))))))+(x/((-(4*x))+1)^1.5)+(1/4/((4*x)-1)))
+A056205 = (None*integrate((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(3/256)))))))
+A056205 = (None*differential((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(3/256)))))))
+A056205 = (None*integrate((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2)))))))
+A056205 = (None*differential((A005436+(-((-((1/4)*x^3))+(-(-(-((4*x^4)/((-(4*x))+1)^1.5))))+(-(-((9/16)*x^2)))+(-(-((5/64)*x)))+(-(-(1/256/((4*x)-1))))+(-(1/128/((4*x)-1)^2)))))))
+A339623 = (((-(7/4))*differential((A005449+(-((-(1/(x-1)))+(-(3/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/3)*(A005449+(-((-(1/(x-1)))+(-(4/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((12*differential((A005449+(-((-(1/(x-1)))+(-(4/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-54)*(A005460+(-(-(3/(x-1)^5)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-4714)*differential((A005460+(-(-(3/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A005460+(-(-(2/(x-1)^4)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A005460+(-(-(2/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-1)*differential((A005475+(-((-(2/(x-1)))+(-(5/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/5)*(A005475+(-((-(2/(x-1)))+(-(7/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A005475+(-((-(2/(x-1)))+(-(7/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/8))*differential((A005476+(-((-(3/(x-1)))+(-(5/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/5)*(A005476+(-((-(3/(x-1)))+(-(8/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A005476+(-((-(3/(x-1)))+(-(8/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339751 = ((None*(A005492+(-((-(7/(x-1)))+(-(62/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005492+(-((-(7/(x-1)))+(-(62/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))
+A056205 = (None*differential((A005492+(-((-(7/(x-1)))+(-(62/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))
+A339623 = (((7/31)*(A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))
+A056205 = (None*differential((A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))
+A338588 = (((-(9/5))*(A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(62/(x-1)^3))+(-(24/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/10))*integrate((A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(62/(x-1)^3))+(-(24/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/15))*differential((A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(62/(x-1)^3))+(-(24/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((4714/3)*(A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(62/(x-1)^3))+(-(60/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((18*integrate((A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(62/(x-1)^3))+(-(60/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(11887/20))*differential((A005492+(-((-(7/(x-1)))+(-(29/(x-1)^2))+(-(62/(x-1)^3))+(-(60/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005513+(-((-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A338717 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A339751 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A338544 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A339751 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A336974 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A339623 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A338588 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A337962 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/12/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/12/(x-1)^6))))))
+A337962 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5))))))
+A056205 = (None*integrate((A005513+(-((-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A338717 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A339751 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A338544 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A339751 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A336974 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A339623 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A338588 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(1/2/(x-1)^5)+(1/12/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(1/2/(x-1)^5)+(1/12/(x-1)^6))))))
+A337962 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/12/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/12/(x-1)^6))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/12/(x-1)^6))))))
+A337962 = ((None*(A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5))))))
+A056205 = (None*differential((A005513+(-((-(((1/108)*((5*x)+12))/(x^2+x+1)))+(-(-(((1/36)*(x-2))/((x^2-x)+1))))+(-(5/18/(x+1)))+(-(((1/18)*(x+1))/(x^2+x+1)^2))+(-(43/54/(x-1)))+(-(11/64/(x+1)^2))+(2921/1728/(x-1)^2)+(1/24/(x+1)^3)+(31/16/(x-1)^3)+(21/16/(x-1)^4)+(1/2/(x-1)^5))))))
+A323191 = ((None*(A005514+(-((-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(1/(x+1)))+(-1))
+A056205 = (None*integrate((A005514+(-((-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A338200 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A338717 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A339751 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A334514 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A338544 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A339751 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A336974 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A339623 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A333469 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A338588 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A337962 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(7/4/(x-1)^6)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A337962 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(1/2/(x-1)^7)+(1/16/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(1/2/(x-1)^7)+(1/16/(x-1)^8))))))
+A337962 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/16/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/16/(x-1)^8))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/16/(x-1)^8))))))
+A337962 = ((None*(A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7))))))
+A056205 = (None*differential((A005514+(-((1/8/(x^4+1))+(-(-(1/32/(x^2+1))))+(-(-(33/128/(x+1))))+(-(33/128/(x-1)))+(-(1/32/(x^2+1)^2))+(-(127/512/(x+1)^2))+(-(649/512/(x-1)^2))+(-(7/64/(x+1)^3))+(393/128/(x-1)^3)+(5/256/(x+1)^4)+(1073/256/(x-1)^4)+(111/32/(x-1)^5)+(7/4/(x-1)^6)+(1/2/(x-1)^7))))))
+A056205 = (None*integrate((A005515+(-((-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A338717 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A339751 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A338544 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A339751 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A336974 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A339623 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A333469 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A338588 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A333321 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(35/512/(x+1)))+(-(-(35/512/(x-1))))+(-(-(47/256/(x+1)^2)))+(-(67/64/(x-1)^2))+(-(91/256/(x+1)^3))+(-(559/256/(x-1)^3))+(-(7/32/(x+1)^4))+(257/128/(x-1)^4)+(57/64/(x-1)^5)+(5/32/(x-1)^6))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A337962 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A337962 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A337962 = (((-12512)*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(9/4/(x-1)^8)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A337962 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(1/2/(x-1)^9)+(1/20/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(1/2/(x-1)^9)+(1/20/(x-1)^10))))))
+A337962 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/20/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/20/(x-1)^10))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/20/(x-1)^10))))))
+A337406 = ((None*(A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9))))))
+A056205 = (None*differential((A005515+(-((-(((1/250)*((7*x^3)+(16*x^2)+(27*x)+40))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/50)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(27/100/(x+1))))+(-(-(389/500/(x-1))))+(-(-(309/1024/(x+1)^2)))+(-(359649/128000/(x-1)^2))+(-(25/128/(x+1)^3))+(-(1689/256/(x-1)^3))+(-(17/256/(x+1)^4))+(695/64/(x-1)^4)+(3/320/(x+1)^5)+(4069/320/(x-1)^5)+(673/64/(x-1)^6)+(6/(x-1)^7)+(9/4/(x-1)^8)+(1/2/(x-1)^9))))))
+A056205 = (None*integrate((A005516+(-((-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A338200 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A338717 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A339751 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A334514 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A338544 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A339751 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A328685 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(16*x^4)+(-(-(-(40*x^2))))+(-(-(-(32*x))))+(-(-(-((23*x)/(x^2+1)))))+(-(-(-(635/16/(x+1)))))+(-(-(1771/16/(x-1))))+(-(-((14*x)/(x^2+1)^2)))+(-(-(91/8/(x+1)^2)))+(-(-(297/4/(x-1)^2)))+(-(-(7/4/(x+1)^3)))+(-(28/(x-1)^3))+(-(33/2/(x-1)^4))+(-(15/(x-1)^5))+96)
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A336974 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A339623 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A307684 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(((1/243)*(x+9))/(x^2+x+1)))+(-(-(-(((1/27)*((5*x)+3))/(x^2+x+1)^2))))+(-(-(-(1/128/(x+1)))))+(-(-(371/31104/(x-1))))+(-(-(((2/27)*((6*x)+1))/(x^2+x+1)^3)))+(-(3/64/(x+1)^2))+(-(131/3888/(x-1)^2))+(-(1/32/(x+1)^3))+(-(11/324/(x-1)^3))+(275/1296/(x-1)^4)+(3/8/(x-1)^5)+(1/6/(x-1)^6))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A333469 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A338588 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A333321 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(35/512/(x+1)))+(-(-(35/512/(x-1))))+(-(-(47/256/(x+1)^2)))+(-(67/64/(x-1)^2))+(-(91/256/(x+1)^3))+(-(559/256/(x-1)^3))+(-(7/32/(x+1)^4))+(257/128/(x-1)^4)+(57/64/(x-1)^5)+(5/32/(x-1)^6))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A337962 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A331576 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(3969/131072/(x+1))+(-(-(-(-(-(3969/131072/(x-1)))))))+(-(-(-(-(-(4477/32768/(x+1)^2))))))+(-(-(-(-(-(52613/65536/(x-1)^2))))))+(-(-(-(-(2953/8192/(x+1)^3)))))+(-(-(-(-(164761/32768/(x-1)^3)))))+(-(-(-(-(19695/32768/(x+1)^4)))))+(-(-(-(-(535899/32768/(x-1)^4)))))+(-(-(-(10783/16384/(x+1)^5))))+(-(-(-(540253/16384/(x-1)^5))))+(-(-(-(361799/8192/(x-1)^6))))+(-(-(447/2048/(x+1)^7)))+(-(-(164889/4096/(x-1)^7)))+(-(-(119/2048/(x+1)^8)))+(-(-(50813/2048/(x-1)^8)))+(-(7/1024/(x+1)^9))+(-(10171/1024/(x-1)^9))+(-(1197/512/(x-1)^10))+(-(63/256/(x-1)^11)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A337962 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A337962 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A337962 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A337962 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(11/4/(x-1)^10)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A337406 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(1/2/(x-1)^11)+(1/24/(x-1)^12)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(1/2/(x-1)^11)+(1/24/(x-1)^12))))))
+A337406 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/24/(x-1)^12)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/24/(x-1)^12))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/24/(x-1)^12))))))
+A337406 = ((None*(A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11))))))
+A056205 = (None*differential((A005516+(-((-(((1/36)*(x^2-2))/((x^4-x^2)+1)))+(-(-(-(-(-(((1/11664)*((587*x)+1521))/(x^2+x+1)))))))+(-(-(-(-(((1/432)*(x-3))/((x^2-x)+1))))))+(-(-(-(-(61/576/(x^2+1))))))+(-(-(-(-(((1/1296)*((137*x)+125))/(x^2+x+1)^2)))))+(-(-(-(-(3083/13824/(x+1))))))+(-(-(-(101161/373248/(x-1)))))+(-(-(-(((1/144)*(x-1))/((x^2-x)+1)^2))))+(-(-(-(3/64/(x^2+1)^2))))+(-(-(-(((1/324)*((18*x)+7))/(x^2+x+1)^3))))+(-(-(38785/110592/(x+1)^2)))+(-(-(6455189/2985984/(x-1)^2)))+(-(-(1/96/(x^2+1)^3)))+(-(-(451/1536/(x+1)^3)))+(-(2090471/248832/(x-1)^3))+(-(((1/108)*x)/(x^2+x+1)^4))+(-(295/2048/(x+1)^4))+(-(9972989/497664/(x-1)^4))+(-(5/128/(x+1)^5))+(8379/256/(x-1)^5)+(7/1536/(x+1)^6)+(59029/1536/(x-1)^6)+(4223/128/(x-1)^7)+(165/8/(x-1)^8)+(55/6/(x-1)^9)+(11/4/(x-1)^10)+(1/2/(x-1)^11))))))
+A339623 = (((-7)*differential((A005563+(-((1/(x-1))+(-(2/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A005563+(-((1/(x-1))+(-(1/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A005563+(-((1/(x-1))+(-(1/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A005564+(-((4/(x-1)^2)+(7/(x-1)^3)+(3/(x-1)^4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A005564+(-((4/(x-1)^2)+(7/(x-1)^3)+(3/(x-1)^4))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339623 = (((7/4)*differential((A005564+(-(x+(7/(x-1)^3)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-2)*(A005564+(-(x+(4/(x-1)^2)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/7))*differential((A005564+(-(x+(4/(x-1)^2)+(3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A005564+(-(x+(4/(x-1)^2)+(7/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A005564+(-(x+(4/(x-1)^2)+(7/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A005564+(-(x+(4/(x-1)^2)+(7/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/3)*differential((A005565+(-((-(-(5/(x-1)^3)))+(-(6/(x-1)^4))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A005565+(-((3/(x-1)^2)+(-(6/(x-1)^4))+(-(6/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005565+(-((3/(x-1)^2)+(-(6/(x-1)^4))+(-(6/(x-1)^5)))))))
+A056205 = (None*differential((A005565+(-((3/(x-1)^2)+(-(6/(x-1)^4))+(-(6/(x-1)^5)))))))
+A338588 = (((-18)*(A005565+(-((3/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(6/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*integrate((A005565+(-((3/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(6/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/3))*differential((A005565+(-((3/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(6/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*(A005565+(-((3/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(6/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A005565+(-((3/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(6/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((7*differential((A005570+(-(-(16/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/8)*(A005570+(-(1/(x-1)^2))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005570+(-(1/(x-1)^2)))))
+A056205 = (None*differential((A005570+(-(1/(x-1)^2)))))
+A319200 = ((None*(A005572+(-(-(((1/2)*(sqrt((((12*x^2)-(8*x))+1))-1))/x^2)))))+(-((x^2-x)/(x^3-x^2-x-1))))
+A056205 = (None*integrate((A005572+(-(-(((1/2)*(sqrt((((12*x^2)-(8*x))+1))-1))/x^2))))))
+A056205 = (None*differential((A005572+(-(-(((1/2)*(sqrt((((12*x^2)-(8*x))+1))-1))/x^2))))))
+A056205 = (None*integrate((A005572+(-(-(2/x))))))
+A056205 = (None*differential((A005572+(-(-(2/x))))))
+A056205 = (None*integrate(A005573))
+A056205 = (None*differential(A005573))
+A339623 = (((-7)*differential((A005581+(-((-(1/(x-1)))+(1/(x-1)^3)+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-14)*(A005581+(-((-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A005581+(-((-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A005581+(-((-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A005581+(-((-(1/(x-1)))+(-(1/(x-1)^2))+(1/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-14)*(A005582+(-(-(1/(x-1)^5)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A005582+(-(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((37712*(A005582+(-(1/(x-1)^3))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A005582+(-(1/(x-1)^3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-108)*(A005583+(-(1/(x-1)^6))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A005583+(-(1/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-71322)*(A005583+(-(-(1/(x-1)^4)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((12512*differential((A005583+(-(-(1/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-37712)*(A005584+(-(-(1/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/5)*differential((A005584+(-(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((75072*(A005584+(-(1/(x-1)^5))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(41310/7))*differential((A005584+(-(1/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A338588 = ((108*(A005585+(-((3/(x-1)^5)+(2/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A005585+(-((3/(x-1)^5)+(2/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((None*(A005585+(-((1/(x-1)^4)+(2/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005585+(-((1/(x-1)^4)+(2/(x-1)^6))))))
+A056205 = (None*differential((A005585+(-((1/(x-1)^4)+(2/(x-1)^6))))))
+A337962 = ((None*(A005585+(-((1/(x-1)^4)+(3/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005585+(-((1/(x-1)^4)+(3/(x-1)^5))))))
+A056205 = (None*differential((A005585+(-((1/(x-1)^4)+(3/(x-1)^5))))))
+A339623 = ((14*(A005586+(-((2/(x-1))+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A005586+(-((2/(x-1))+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A005586+(-((2/(x-1))+(-(1/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A005586+(-((2/(x-1))+(-(1/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/5)*differential((A005587+(-((-(-(5/(x-1)^3)))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A005587+(-((5/(x-1)^2)+(-(3/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005587+(-((5/(x-1)^2)+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))
+A056205 = (None*differential((A005587+(-((5/(x-1)^2)+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))
+A338588 = (((-36)*(A005587+(-((5/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A005587+(-((5/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A005587+(-((5/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A005587+(-((5/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A005587+(-((5/(x-1)^2)+(-(-(5/(x-1)^3)))+(-(3/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((None*(A005609+(-((-(1296/(x-1)))+(-1232)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005609+(-((-(1296/(x-1)))+(-1232))))))
+A056205 = (None*differential((A005609+(-((-(1296/(x-1)))+(-1232))))))
+A339751 = ((None*(A005609+(-((-(3136*x))+(-1232)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005609+(-((-(3136*x))+(-1232))))))
+A056205 = (None*differential((A005609+(-((-(3136*x))+(-1232))))))
+A056205 = (None*integrate((A005609+(-((-(3136*x))+(-(1296/(x-1))))))))
+A056205 = (None*differential((A005609+(-((-(3136*x))+(-(1296/(x-1))))))))
+A330170 = ((None*(A005618+(-(-(8/5/(x-1))))))+(-(-(1/((3*x)-1))))+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+(-2))
+A056205 = (None*integrate((A005618+(-(-(8/5/(x-1)))))))
+A056205 = (None*differential((A005618+(-(-(8/5/(x-1)))))))
+A339751 = ((None*(A005618+(-(-(12/5/((6*x)-1))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005618+(-(-(12/5/((6*x)-1)))))))
+A056205 = (None*differential((A005618+(-(-(12/5/((6*x)-1)))))))
+A269914 = ((None*(A005665+(-(1/(x-1)))))+(-((x^3-x-2)/((x^4+(3*x^3)+(3*x^2)+x)-1)))+(1/2))
+A056205 = (None*integrate((A005665+(-(1/(x-1))))))
+A056205 = (None*differential((A005665+(-(1/(x-1))))))
+A281647 = ((None*A005667)+(((19*x)+3)/(x^2-(6*x)-1))+2)
+A056205 = (None*integrate(A005667))
+A056205 = (None*differential(A005667))
+A254332 = ((None*A005668)+(((1/2)*((6*x)+1))/(x^2-(6*x)-1))+(-(1/2/(x-1))))
+A056205 = (None*integrate(A005668))
+A056205 = (None*differential(A005668))
+A056205 = (None*integrate(A005676))
+A056205 = (None*differential(A005676))
+A056205 = (None*integrate((A005682+(-(((1/2)*(x^2-x))/(((x^3-x^2)+(2*x))-1))))))
+A056205 = (None*differential((A005682+(-(((1/2)*(x^2-x))/(((x^3-x^2)+(2*x))-1))))))
+A056205 = (None*integrate((A005682+(-(((1/2)*(x^2+x))/((x^3+x^2)-1))))))
+A056205 = (None*differential((A005682+(-(((1/2)*(x^2+x))/((x^3+x^2)-1))))))
+A339623 = (((-1)*(A005683+(-((-x)+(-(((1/2)*(x^2+x))/((x^3+x^2)-1)))+(((1/2)*(x^2-x))/(((x^3-x^2)+(2*x))-1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A005683+(-((-x)+(-(((1/2)*(x^2+x))/((x^3+x^2)-1)))+(((1/2)*(x^2-x))/(((x^3-x^2)+(2*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A005683+(-((-x^2)+(-(((1/2)*(x^2+x))/((x^3+x^2)-1)))+(((1/2)*(x^2-x))/(((x^3-x^2)+(2*x))-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005683+(-((-x^2)+(-(((1/2)*(x^2+x))/((x^3+x^2)-1)))+(((1/2)*(x^2-x))/(((x^3-x^2)+(2*x))-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A005683+(-((-x^2)+(-x)+(((1/2)*(x^2-x))/(((x^3-x^2)+(2*x))-1)))))))
+A056205 = (None*differential((A005683+(-((-x^2)+(-x)+(((1/2)*(x^2-x))/(((x^3-x^2)+(2*x))-1)))))))
+A056205 = (None*integrate((A005683+(-((-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^3+x^2)-1))))))))
+A056205 = (None*differential((A005683+(-((-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^3+x^2)-1))))))))
+A056205 = (None*integrate((A005684+(-((-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1)))))))
+A056205 = (None*differential((A005684+(-((-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1)))))))
+A328881 = ((None*(A005684+(-((((1/2)*(x^2+x))/((x^4+x^2)-1))+(-(((1/4)*x)/((x^2+x)-1)))))))+(-(1/9/((2*x)-1)))+(5/9/(x+1)))
+A056205 = (None*integrate((A005684+(-((((1/2)*(x^2+x))/((x^4+x^2)-1))+(-(((1/4)*x)/((x^2+x)-1))))))))
+A056205 = (None*differential((A005684+(-((((1/2)*(x^2+x))/((x^4+x^2)-1))+(-(((1/4)*x)/((x^2+x)-1))))))))
+A337120 = ((4*(A005685+(-((-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A005685+(-((-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*(A005685+(-((-x^3)+(-x)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A005685+(-((-x^3)+(-x)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A005685+(-((-x^3)+(-x^2)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005685+(-((-x^3)+(-x^2)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A005685+(-((-x^3)+(-x^2)+(-x)+(-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1)))))))
+A056205 = (None*differential((A005685+(-((-x^3)+(-x^2)+(-x)+(-(((1/4)*x)/((x^2+x)-1)))+(((1/4)*x)/((x^2-x)+1)))))))
+A328881 = ((None*(A005685+(-((-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1)))))))+(-(1/9/((2*x)-1)))+(5/9/(x+1)))
+A056205 = (None*integrate((A005685+(-((-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1))))))))
+A056205 = (None*differential((A005685+(-((-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^4+x^2)-1)))+(-(((1/4)*x)/((x^2+x)-1))))))))
+A056205 = (None*integrate(A005686))
+A056205 = (None*differential(A005686))
+A056205 = (None*integrate((A005687+(-(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1))))))
+A056205 = (None*differential((A005687+(-(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1))))))
+A056205 = (None*integrate((A005687+(-(((1/2)*(x^2+x))/((x^5+x^2)-1))))))
+A056205 = (None*differential((A005687+(-(((1/2)*(x^2+x))/((x^5+x^2)-1))))))
+A338024 = ((None*(A005688+(-((-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005688+(-((-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1)))))))
+A056205 = (None*differential((A005688+(-((-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1)))))))
+A337120 = ((4*(A005688+(-((-x^4)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A005688+(-((-x^4)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*(A005688+(-((-x^4)+(-x^3)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A005688+(-((-x^4)+(-x^3)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A005688+(-((-x^4)+(-x^3)+(-x^2)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005688+(-((-x^4)+(-x^3)+(-x^2)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1)))+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A005688+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1)))))))
+A056205 = (None*differential((A005688+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(((1/2)*(x^2-x))/(((x^5-x^2)+(2*x))-1)))))))
+A056205 = (None*integrate((A005688+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1))))))))
+A056205 = (None*differential((A005688+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^5+x^2)-1))))))))
+A338024 = ((None*(A005689+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005689+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005689+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1)))))))
+A338024 = ((None*(A005689+(-((-x^5)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005689+(-((-x^5)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005689+(-((-x^5)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1)))))))
+A337120 = ((4*(A005689+(-((-x^5)+(-x^4)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A005689+(-((-x^5)+(-x^4)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*(A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-(((1/2)*x)/((x^3+x)-1)))+(((1/2)*x)/((x^3-x)+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A301877 = ((None*(A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(((1/2)*x)/((x^3-x)+1))))))+x+(-(((1/31)*((12*x^2)-(16*x)-5))/(x^3-x^2-1)))+(-(((1/62)*((7*x^2)+(22*x)+10))/((x^3+(2*x^2)+x)-1))))
+A056205 = (None*integrate((A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(((1/2)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(((1/2)*x)/((x^3-x)+1)))))))
+A005691 = ((None*(A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1)))))))+(-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1))))
+A056205 = (None*integrate((A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1))))))))
+A056205 = (None*differential((A005689+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*x)/((x^3+x)-1))))))))
+A056205 = (None*integrate((A005690+(-((-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005690+(-((-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A301877 = ((None*(A005690+(-((((1/2)*(x^2+x))/((x^6+x^2)-1))+(((1/4)*x)/((x^3-x)+1))))))+x+(-(((1/31)*((12*x^2)-(16*x)-5))/(x^3-x^2-1)))+(-(((1/62)*((7*x^2)+(22*x)+10))/((x^3+(2*x^2)+x)-1))))
+A056205 = (None*integrate((A005690+(-((((1/2)*(x^2+x))/((x^6+x^2)-1))+(((1/4)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005690+(-((((1/2)*(x^2+x))/((x^6+x^2)-1))+(((1/4)*x)/((x^3-x)+1)))))))
+A005691 = ((None*(A005690+(-((((1/2)*(x^2+x))/((x^6+x^2)-1))+(-(((1/4)*x)/((x^3+x)-1)))))))+(-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1))))
+A056205 = (None*integrate((A005690+(-((((1/2)*(x^2+x))/((x^6+x^2)-1))+(-(((1/4)*x)/((x^3+x)-1))))))))
+A056205 = (None*differential((A005690+(-((((1/2)*(x^2+x))/((x^6+x^2)-1))+(-(((1/4)*x)/((x^3+x)-1))))))))
+A338024 = ((None*(A005691+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005691+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005691+(-((-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A338024 = ((None*(A005691+(-((-x^5)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005691+(-((-x^5)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005691+(-((-x^5)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A337120 = ((4*(A005691+(-((-x^5)+(-x^4)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A005691+(-((-x^5)+(-x^4)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-1)*(A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/4)*x)/((x^3+x)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A301877 = ((None*(A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(((1/4)*x)/((x^3-x)+1))))))+x+(-(((1/31)*((12*x^2)-(16*x)-5))/(x^3-x^2-1)))+(-(((1/62)*((7*x^2)+(22*x)+10))/((x^3+(2*x^2)+x)-1))))
+A056205 = (None*integrate((A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A056205 = (None*differential((A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(((1/4)*x)/((x^3-x)+1)))))))
+A056205 = (None*integrate((A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1))))))))
+A056205 = (None*differential((A005691+(-((-x^5)+(-x^4)+(-x^3)+(-x^2)+(-x)+(-(((1/2)*(x^2+x))/((x^6+x^2)-1)))+(-(((1/4)*x)/((x^3+x)-1))))))))
+A338588 = ((108*(A005701+(-(-(2/(x-1)^5)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A005701+(-(-(2/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18856*(A005701+(-(1/(x-1)^4))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*differential((A005701+(-(1/(x-1)^4)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate(A005708))
+A056205 = (None*differential(A005708))
+A056205 = (None*integrate(A005709))
+A056205 = (None*differential(A005709))
+A056205 = (None*integrate(A005710))
+A056205 = (None*differential(A005710))
+A056205 = (None*integrate(A005711))
+A056205 = (None*differential(A005711))
+A339623 = (((-(7/3))*differential((A005712+(-((1/(x-1))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A005712+(-((1/(x-1))+(-(3/(x-1)^2))+(-(1/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A005712+(-((1/(x-1))+(-(3/(x-1)^2))+(-(1/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-108)*(A005712+(-((1/(x-1))+(-(3/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A005712+(-((1/(x-1))+(-(3/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A005712+(-((1/(x-1))+(-(3/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A005712+(-((1/(x-1))+(-(3/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/2)*differential((A005714+(-((-(1/(x-1)))+(-(2/(x-1)^3))+(-(7/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((7*(A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(7/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(7/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(108/7))*(A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(9428/7))*differential((A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(4/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*(A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(7/(x-1)^4))+(-(1/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(7/(x-1)^4))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(7/(x-1)^4))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((71322*(A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(7/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(7/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((75072*(A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(7/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(41310/7))*differential((A005714+(-((-(1/(x-1)))+(-(-(2/(x-1)^2)))+(-(2/(x-1)^3))+(-(7/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/5))*differential((A005715+(-((1/(x-1))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^7)+(1/(x-1)^8))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((2*(A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^7)+(1/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/7)*differential((A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-108)*(A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^7)+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((None*(A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(5/(x-1)^6))+(1/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(5/(x-1)^6))+(1/(x-1)^7)+(1/(x-1)^8))))))
+A056205 = (None*differential((A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(5/(x-1)^6))+(1/(x-1)^7)+(1/(x-1)^8))))))
+A337962 = (((71322/5)*(A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(1/(x-1)^7)+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(1/(x-1)^7)+(1/(x-1)^8))))))
+A056205 = (None*differential((A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(1/(x-1)^7)+(1/(x-1)^8))))))
+A337962 = (((-75072)*(A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((41310/7)*differential((A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-41310)*(A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/4)*differential((A005715+(-((1/(x-1))+(-(5/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^4))+(-(9/(x-1)^5))+(-(5/(x-1)^6))+(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A339623 = (((-(7/3))*differential((A005716+(-((-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A005716+(-((-(3/(x-1)^2))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005716+(-((-(3/(x-1)^2))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A056205 = (None*differential((A005716+(-((-(3/(x-1)^2))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A338588 = ((None*(A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A056205 = (None*differential((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A337962 = ((None*(A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A056205 = (None*differential((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A337962 = ((None*(A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A056205 = (None*differential((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(6/(x-1)^7))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A337962 = ((12512*(A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(1/(x-1)^8))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A056205 = (None*differential((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(1/(x-1)^8))+(-(1/(x-1)^9)))))))
+A337962 = ((None*(A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^9)))))))
+A056205 = (None*differential((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^9)))))))
+A337962 = ((9270*(A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337406 = (((-33033000)*differential((A005716+(-((-(3/(x-1)^2))+(-(-(12/(x-1)^3)))+(-(-(15/(x-1)^4)))+(-(-(1/(x-1)^5)))+(-(11/(x-1)^6))+(-(6/(x-1)^7))+(-(1/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate(A005717))
+A056205 = (None*differential(A005717))
+A339623 = (((-7)*differential((A005718+(-((-(1/(x-1)))+(-(1/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-108)*(A005718+(-((-(1/(x-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A005718+(-((-(1/(x-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A005718+(-((-(1/(x-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A005718+(-((-(1/(x-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/3)*differential((A005719+(-((1/(x-1))+(2/(x-1)^3)+(1/(x-1)^5)+(1/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-7)*(A005719+(-((1/(x-1))+(3/(x-1)^2)+(1/(x-1)^5)+(1/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A005719+(-((1/(x-1))+(3/(x-1)^2)+(1/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-37712)*(A005719+(-((1/(x-1))+(3/(x-1)^2)+(2/(x-1)^3)+(1/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/5)*differential((A005719+(-((1/(x-1))+(3/(x-1)^2)+(2/(x-1)^3)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-71322)*(A005719+(-((1/(x-1))+(3/(x-1)^2)+(2/(x-1)^3)+(1/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((12512*differential((A005719+(-((1/(x-1))+(3/(x-1)^2)+(2/(x-1)^3)+(1/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/2))*differential((A005720+(-((-(5/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/5)*(A005720+(-((-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^6))+(-(1/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A005720+(-((-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-36)*(A005720+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(1/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A005720+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A005720+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((71322*(A005720+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A005720+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((75072*(A005720+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(41310/7))*differential((A005720+(-((-(2/(x-1)^2))+(-(5/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339623 = (((-(7/6))*differential((A005732+(-((1/(x-1))+(-(14/(x-1)^3))+(-(15/(x-1)^4))+(-(6/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((1*(A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(15/(x-1)^4))+(-(6/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(15/(x-1)^4))+(-(6/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))
+A056205 = (None*differential((A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(15/(x-1)^4))+(-(6/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))
+A338588 = (((-(36/5))*(A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(6/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(6/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))
+A056205 = (None*differential((A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(6/(x-1)^5))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))
+A337962 = (((18856/3)*(A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(15/(x-1)^4))+(-(1/(x-1)^6))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(15/(x-1)^4))+(-(1/(x-1)^6))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((71322*(A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(15/(x-1)^4))+(-(6/(x-1)^5))+(-(1/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(15/(x-1)^4))+(-(6/(x-1)^5))+(-(1/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((75072*(A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(15/(x-1)^4))+(-(6/(x-1)^5))+(-(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(41310/7))*differential((A005732+(-((1/(x-1))+(-(6/(x-1)^2))+(-(14/(x-1)^3))+(-(15/(x-1)^4))+(-(6/(x-1)^5))+(-(1/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A005744+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/4/(x-1)^3))+(1/2/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005744+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/4/(x-1)^3))+(1/2/(x-1)^4))))))
+A056205 = (None*differential((A005744+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/4/(x-1)^3))+(1/2/(x-1)^4))))))
+A337962 = ((18856*differential((A005744+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(7/8/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338717 = ((None*(A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A056205 = (None*differential((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A339751 = ((None*(A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A056205 = (None*differential((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A332057 = ((None*(A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8)))))+(((1/9)*((3*x)-2))/(x^2+x+1))+(-(2/3/(x-1)))+(8/9/(x-1)^2))
+A056205 = (None*integrate((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A056205 = (None*differential((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A338544 = ((None*(A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A056205 = (None*differential((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A339751 = ((None*(A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A056205 = (None*differential((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(49/432/(x-1)^3))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A339623 = ((None*(A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A056205 = (None*differential((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(319/864/(x-1)^4))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A338588 = ((None*(A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A056205 = (None*differential((A005745+(-((((1/81)*((6*x)+5))/(x^2+x+1))+(-(-(5/128/(x+1))))+(-(-(121/3456/(x-1))))+(-(((1/27)*x)/(x^2+x+1)^2))+(-(1/128/(x+1)^2))+(-(5/10368/(x-1)^2))+(-(49/432/(x-1)^3))+(-(1/8/(x-1)^5))+(1/8/(x-1)^6)+(1/6/(x-1)^8))))))
+A056205 = (None*integrate((A005746+(-((-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A338717 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A339751 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A338544 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A339751 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A328685 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(16*x^4)+(-(-(-(40*x^2))))+(-(-(-(32*x))))+(-(-(-((23*x)/(x^2+1)))))+(-(-(-(635/16/(x+1)))))+(-(-(1771/16/(x-1))))+(-(-((14*x)/(x^2+1)^2)))+(-(-(91/8/(x+1)^2)))+(-(-(297/4/(x-1)^2)))+(-(-(7/4/(x+1)^3)))+(-(28/(x-1)^3))+(-(33/2/(x-1)^4))+(-(15/(x-1)^5))+96)
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A336974 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A339623 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A333469 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A338588 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A333321 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(35/512/(x+1)))+(-(-(35/512/(x-1))))+(-(-(47/256/(x+1)^2)))+(-(67/64/(x-1)^2))+(-(91/256/(x+1)^3))+(-(559/256/(x-1)^3))+(-(7/32/(x+1)^4))+(257/128/(x-1)^4)+(57/64/(x-1)^5)+(5/32/(x-1)^6))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A331576 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(3969/131072/(x+1))+(-(-(-(-(-(3969/131072/(x-1)))))))+(-(-(-(-(-(4477/32768/(x+1)^2))))))+(-(-(-(-(-(52613/65536/(x-1)^2))))))+(-(-(-(-(2953/8192/(x+1)^3)))))+(-(-(-(-(164761/32768/(x-1)^3)))))+(-(-(-(-(19695/32768/(x+1)^4)))))+(-(-(-(-(535899/32768/(x-1)^4)))))+(-(-(-(10783/16384/(x+1)^5))))+(-(-(-(540253/16384/(x-1)^5))))+(-(-(-(361799/8192/(x-1)^6))))+(-(-(447/2048/(x+1)^7)))+(-(-(164889/4096/(x-1)^7)))+(-(-(119/2048/(x+1)^8)))+(-(-(50813/2048/(x-1)^8)))+(-(7/1024/(x+1)^9))+(-(10171/1024/(x-1)^9))+(-(1197/512/(x-1)^10))+(-(63/256/(x-1)^11)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337406 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337406 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337406 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/24/(x-1)^16)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/24/(x-1)^16))))))
+A323972 = ((None*(A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(429/(x-1)^17))+(-6))
+A056205 = (None*integrate((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12))))))
+A056205 = (None*differential((A005746+(-((-(((11/6561)*((22*x)+25))/(x^2+x+1)))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((51*x)+11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2))))))+(-(-(-(-(-(869/131072/(x+1)))))))+(-(-(-(-(-(9254021/859963392/(x-1)))))))+(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3))))))+(-(-(-(-(1047/131072/(x+1)^2)))))+(-(-(-(-(2333843/859963392/(x-1)^2)))))+(-(-(-(-(((1/128)*x)/(x^2+1)^3)))))+(-(-(-(-(109/16384/(x+1)^3)))))+(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4)))))+(-(-(-(6977/995328/(x-1)^3))))+(-(-(-(73/32768/(x+1)^4))))+(-(-(-(133703/8957952/(x-1)^4))))+(-(-(5/8192/(x+1)^5)))+(-(-(90581/2985984/(x-1)^5)))+(-(-(1/8192/(x+1)^6)))+(-(-(153757/2985984/(x-1)^6)))+(-(-(7151/124416/(x-1)^7)))+(-(-(58783/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12))))))
+A056205 = (None*integrate((A005768+(-(-(1/32/((((16*x^2)-(8*x))+1)*((2*x)-1))))))))
+A056205 = (None*differential((A005768+(-(-(1/32/((((16*x^2)-(8*x))+1)*((2*x)-1))))))))
+A056205 = (None*integrate((A005768+(-(-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-17))+(200*x^3))-(28*x^2))+(2*x)+1))/(((16*x^2)-(8*x))+1)))))))
+A056205 = (None*differential((A005768+(-(-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-17))+(200*x^3))-(28*x^2))+(2*x)+1))/(((16*x^2)-(8*x))+1)))))))
+A056205 = (None*integrate((A005769+(-((-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2)))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*differential((A005769+(-((-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2)))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*integrate((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2)))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*differential((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2)))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*integrate((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2)))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*differential((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2)))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*integrate((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2)))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*differential((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2)))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*integrate((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*differential((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*((4*x^5)+(13*x^4.5)+(32*x^4)+(141*x^3.5)+(418*x^3)+(689*x^2.5)+(670*x^2)+(395*x^1.5)+(138*x)+(26*sqrt(x))+2))/(((((32*x^3.5)+(16*x^3))-(16*x^2.5)-(8*x^2))+(2*x^1.5)+x)*(x-sqrt(x)-1)^2))))))))
+A056205 = (None*integrate((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2))))))))
+A056205 = (None*differential((A005769+(-((-(((1/32)*((((64*x^5)+(16*x^4*(((((64*x^2)/((-(4*x))+1)^1.5)-((32*x)/((-(4*x))+1)^1.5))+(4/((-(4*x))+1)^1.5))-9))+(8*((16*x)+45)*x^3))-(4*((8*x)-297)*x^2))+(6*((32*x^2)+(88*x)+411)*x)+(336*x^2)+(3464*x)+4257))/(((16*x^2)-(8*x))+1)))+(-(-(((1/2)*(((((((((((32*x^5.5)-(109*x^5))+(244*x^4.5))-(817*x^4))+(2095*x^3.5))-(3112*x^3))+(2718*x^2.5))-(1400*x^2))+(395*x^1.5))-(43*x)-(4*sqrt(x)))+1))/((((((64*x^4.5)-(64*x^4)-(16*x^3.5))+(32*x^3))-(4*x^2.5)-(4*x^2))+x^1.5)*((x+sqrt(x))-1)))))+(-(-(((1/2)*(((32*x^5.5)+(109*x^5)+(244*x^4.5)+(817*x^4)+(2095*x^3.5)+(3112*x^3)+(2718*x^2.5)+(1400*x^2)+(395*x^1.5)+(43*x))-(4*sqrt(x))-1))/(((((64*x^4.5)+(64*x^4))-(16*x^3.5)-(32*x^3)-(4*x^2.5))+(4*x^2)+x^1.5)*(x-sqrt(x)-1)))))+(-(-(1/32/((((((256*x^4)-(256*x^3))+(96*x^2))-(16*x))+1)*((2*x)-1)))))+(-(((1/4)*(((((((((((4*x^5)-(13*x^4.5))+(32*x^4))-(141*x^3.5))+(418*x^3))-(689*x^2.5))+(670*x^2))-(395*x^1.5))+(138*x))-(26*sqrt(x)))+2))/(((((32*x^3.5)-(16*x^3)-(16*x^2.5))+(8*x^2)+(2*x^1.5))-x)*((x+sqrt(x))-1)^2))))))))
+A056205 = (None*integrate((A005770+(-((-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2)))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*differential((A005770+(-((-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2)))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*integrate((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2)))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*differential((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2)))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*integrate((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2)))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*differential((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2)))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*integrate((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2)))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*differential((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2)))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*integrate((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*differential((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(((1/4)*(x^4+(10*x^3.5)+(39*x^3)+(81*x^2.5)+(100*x^2)+(76*x^1.5)+(35*x)+(9*sqrt(x))+1))/((((8*x^2.5)+(4*x^2))-(2*x^1.5)-x)*(x-sqrt(x)-1)^2)))))))
+A056205 = (None*integrate((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2))))))))
+A056205 = (None*differential((A005770+(-((((1/16)*((8*x^3)+(2*((8*x)+73)*x)+(52*x^2)+(136*x)+305))/((4*x)-1))+(-(((1/4)*(((((((((12*x^4.5)-(107*x^4))+(372*x^3.5))-(681*x^3))+(724*x^2.5))-(452*x^2))+(152*x^1.5))-(17*x)-(4*sqrt(x)))+1))/(((((16*x^3.5)-(16*x^3))+(4*x^2))-x^1.5)*((x+sqrt(x))-1))))+(-(((1/4)*(((12*x^4.5)+(107*x^4)+(372*x^3.5)+(681*x^3)+(724*x^2.5)+(452*x^2)+(152*x^1.5)+(17*x))-(4*sqrt(x))-1))/((((16*x^3.5)+(16*x^3))-(4*x^2)-x^1.5)*(x-sqrt(x)-1))))+(-(1/16/(((((64*x^3)-(48*x^2))+(12*x))-1)*((2*x)-1))))+(-(((1/4)*((((((((x^4-(10*x^3.5))+(39*x^3))-(81*x^2.5))+(100*x^2))-(76*x^1.5))+(35*x))-(9*sqrt(x)))+1))/((((8*x^2.5)-(4*x^2)-(2*x^1.5))+x)*((x+sqrt(x))-1)^2))))))))
+A056205 = (None*integrate((A005773+(-(2/3)))))
+A056205 = (None*differential((A005773+(-(2/3)))))
+A026135 = ((None*(A005773+(-(1/2))))+(-(sqrt((-((x+1)/((3*x)-1))))/x))+(((1/2)*(sqrt((-((x+1)/((3*x)-1))))-1))/x^2)+(1/2))
+A056205 = (None*integrate((A005773+(-(1/2)))))
+A056205 = (None*differential((A005773+(-(1/2)))))
+A056205 = (None*integrate((A005774+(-(-((sqrt((((-(3*x^2))-(2*x))+1))-1)/(x*(sqrt((((-(3*x^2))-(2*x))+1))+1))))))))
+A056205 = (None*differential((A005774+(-(-((sqrt((((-(3*x^2))-(2*x))+1))-1)/(x*(sqrt((((-(3*x^2))-(2*x))+1))+1))))))))
+A056205 = (None*integrate((A005774+(-((2*((2*sqrt((((-(3*x^2))-(2*x))+1)))-1))/(((3*x)-sqrt((((-(3*x^2))-(2*x))+1))-1)*(sqrt((((-(3*x^2))-(2*x))+1))+1)))))))
+A056205 = (None*differential((A005774+(-((2*((2*sqrt((((-(3*x^2))-(2*x))+1)))-1))/(((3*x)-sqrt((((-(3*x^2))-(2*x))+1))-1)*(sqrt((((-(3*x^2))-(2*x))+1))+1)))))))
+A026135 = ((None*(A005775+(-((-(((1/2)*((3*sqrt((-((x+1)/((3*x)-1)))))-1))/x))+(((1/2)*(sqrt((-((x+1)/((3*x)-1))))-1))/x^2)+(1/2)))))+(-(sqrt((-((x+1)/((3*x)-1))))/x))+(((1/2)*(sqrt((-((x+1)/((3*x)-1))))-1))/x^2)+(1/2))
+A056205 = (None*integrate((A005775+(-((-(((1/2)*((3*sqrt((-((x+1)/((3*x)-1)))))-1))/x))+(((1/2)*(sqrt((-((x+1)/((3*x)-1))))-1))/x^2)+(1/2))))))
+A056205 = (None*differential((A005775+(-((-(((1/2)*((3*sqrt((-((x+1)/((3*x)-1)))))-1))/x))+(((1/2)*(sqrt((-((x+1)/((3*x)-1))))-1))/x^2)+(1/2))))))
+A056205 = (None*integrate((A005775+(-(((1/2)*sqrt((-((x+1)/((3*x)-1)))))+(((1/2)*(sqrt((-((x+1)/((3*x)-1))))-1))/x^2)+(1/2))))))
+A056205 = (None*differential((A005775+(-(((1/2)*sqrt((-((x+1)/((3*x)-1)))))+(((1/2)*(sqrt((-((x+1)/((3*x)-1))))-1))/x^2)+(1/2))))))
+A056205 = (None*integrate((A005775+(-(((1/2)*sqrt((-((x+1)/((3*x)-1)))))+(-(((1/2)*((3*sqrt((-((x+1)/((3*x)-1)))))-1))/x))+(1/2))))))
+A056205 = (None*differential((A005775+(-(((1/2)*sqrt((-((x+1)/((3*x)-1)))))+(-(((1/2)*((3*sqrt((-((x+1)/((3*x)-1)))))-1))/x))+(1/2))))))
+A337120 = ((None*(A005777+(-((-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A005777+(-((-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A056205 = (None*differential((A005777+(-((-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A339623 = ((None*(A005777+(-((-(15*x^3))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A005777+(-((-(15*x^3))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A056205 = (None*differential((A005777+(-((-(15*x^3))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A056205 = (None*integrate((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A056205 = (None*differential((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A056205 = (None*integrate((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A056205 = (None*differential((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A339751 = ((None*(A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A056205 = (None*differential((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3))+(-(1/(x-1)^2)))))))
+A056205 = (None*integrate((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-(1/(x-1)^2)))))))
+A056205 = (None*differential((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-(1/(x-1)^2)))))))
+A339623 = (((-7)*differential((A005777+(-((-(15*x^3))+(-(-(-(4*x^2))))+(-(-((2*(x-2))/((x^3+x^2+x)-1))))+(-(-((4*((4*x)-5))/((x^3+x^2+x)-1)^2)))+(-(-(1/(x-1))))+(-((8*((3*x)-2))/((x^3+x^2+x)-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005783+(-((-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A056205 = (None*differential((A005783+(-((-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A056205 = (None*integrate((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A056205 = (None*differential((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A338717 = ((None*(A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A056205 = (None*differential((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A339751 = ((None*(A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A056205 = (None*differential((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A339751 = ((None*(A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A056205 = (None*differential((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A339623 = ((None*(A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A056205 = (None*differential((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A338588 = ((None*(A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A056205 = (None*differential((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^5))+(-(1/6/(x-1)^7)))))))
+A337962 = ((None*(A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5)))))))
+A056205 = (None*differential((A005783+(-((((1/81)*((7*x)+8))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^2))))+(-(-(-(5/128/(x+1)))))+(-(-(-(1301/10368/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(59/432/(x-1)^2)))+(-(-(113/864/(x-1)^3)))+(-(1/8/(x-1)^4))+(-(1/8/(x-1)^5)))))))
+A056205 = (None*integrate((A005784+(-((-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A338717 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A339751 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A338544 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A339751 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A336974 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A339623 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A333469 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A338588 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A333321 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(35/512/(x+1)))+(-(-(35/512/(x-1))))+(-(-(47/256/(x+1)^2)))+(-(67/64/(x-1)^2))+(-(91/256/(x+1)^3))+(-(559/256/(x-1)^3))+(-(7/32/(x+1)^4))+(257/128/(x-1)^4)+(57/64/(x-1)^5)+(5/32/(x-1)^6))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A337962 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A331576 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(3969/131072/(x+1))+(-(-(-(-(-(3969/131072/(x-1)))))))+(-(-(-(-(-(4477/32768/(x+1)^2))))))+(-(-(-(-(-(52613/65536/(x-1)^2))))))+(-(-(-(-(2953/8192/(x+1)^3)))))+(-(-(-(-(164761/32768/(x-1)^3)))))+(-(-(-(-(19695/32768/(x+1)^4)))))+(-(-(-(-(535899/32768/(x-1)^4)))))+(-(-(-(10783/16384/(x+1)^5))))+(-(-(-(540253/16384/(x-1)^5))))+(-(-(-(361799/8192/(x-1)^6))))+(-(-(447/2048/(x+1)^7)))+(-(-(164889/4096/(x-1)^7)))+(-(-(119/2048/(x+1)^8)))+(-(-(50813/2048/(x-1)^8)))+(-(7/1024/(x+1)^9))+(-(10171/1024/(x-1)^9))+(-(1197/512/(x-1)^10))+(-(63/256/(x-1)^11)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A337962 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A337962 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A337962 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A337962 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A337406 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/64/(x-1)^11))+(-(1/24/(x-1)^15)))))))
+A337406 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/24/(x-1)^15))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/24/(x-1)^15)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/24/(x-1)^15)))))))
+A323972 = ((None*(A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A056205 = (None*integrate((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11)))))))
+A056205 = (None*differential((A005784+(-((((2/6561)*((179*x)+142))/(x^2+x+1))+(-(-(-(-(-(-(-(((15/512)*(x+1))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/2187)*((71*x)+25))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(5811/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((5/256)*(x+1))/(x^2+1)^2))))))))+(-(-(-(-(-(-(-(110243987/859963392/(x-1)))))))))+(-(-(-(-(-(-(((1/729)*((5*x)-8))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(1635/65536/(x+1)^2)))))))+(-(-(-(-(-(-(((1/128)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(128959/995328/(x-1)^2)))))))+(-(-(-(-(-(-(((1/243)*(x+2))/(x^2+x+1)^4)))))))+(-(-(-(-(-(363/32768/(x+1)^3))))))+(-(-(-(-(-(1037881/8957952/(x-1)^3))))))+(-(-(-(-(63/16384/(x+1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^4)))))+(-(-(-(-(9/8192/(x+1)^5)))))+(-(-(-(-(219491/2985984/(x-1)^5)))))+(-(-(-(1/4096/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^6))))+(-(-(-(24161/497664/(x-1)^7))))+(-(-(23/512/(x-1)^8)))+(-(-(21/512/(x-1)^9)))+(-(1/32/(x-1)^10))+(-(1/64/(x-1)^11)))))))
+A339760 = ((2*(A005803+(-((-(2/(x-1)))+(-(2/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A005803+(-((-(2/(x-1)))+(-(2/(x-1)^2)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/2))*differential((A005803+(-((-(1/((2*x)-1)))+(-(2/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005807+(-(-(((1/2)*(sqrt(((-(4*x))+1))-1))/x^2))))))
+A056205 = (None*differential((A005807+(-(-(((1/2)*(sqrt(((-(4*x))+1))-1))/x^2))))))
+A056205 = (None*integrate((A005807+(-(-(((1/2)*(sqrt(((-(4*x))+1))+1))/x))))))
+A056205 = (None*differential((A005807+(-(-(((1/2)*(sqrt(((-(4*x))+1))+1))/x))))))
+A056205 = (None*integrate(A005809))
+A056205 = (None*differential(A005809))
+A056205 = (None*integrate((A005813+(-((-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A334625 = ((None*(A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6)))))+(-(3*x^8))+(-(-(3*x^7)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(5/2/(x-1))+(1/(x-1)^2)+3)
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A338717 = ((None*(A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A339751 = ((None*(A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A339751 = ((None*(A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A319493 = ((None*(A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6)))))+(-(((1/9)*(x-22))/(x^2+x+1)))+(-(1/9/(x-1)))+(-(14/3/(x^2+x+1)^2))+(4/3/(x-1)^2)+(5/3/(x-1)^3)+(2/3/(x-1)^4))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A336974 = ((None*(A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A339623 = ((None*(A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A338588 = ((None*(A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(1/12600/(x-1)^5)+(1/18900/(x-1)^6))))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/18900/(x-1)^6))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/18900/(x-1)^6))))))
+A056205 = (None*integrate((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5))))))
+A056205 = (None*differential((A005813+(-((((1/15)*(((((2*x^5)-x^4)+x^3+x^2)-x)+2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))+(-(-(-(((1/1500)*((3*x^3)+(361*x)+441))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/7)*(x^3+x^2+x+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20)*(((x^3-(2*x^2))+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/16)*(x-1))/(x^2+1)))))+(-(-(-(((5/72)*(x-2))/((x^2-x)+1)))))+(-(-(((29/648)*x)/(x^2+x+1))))+(-(-(((1/150)*(((19*x^3)+(19*x^2))-8))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/540)*((33*x)+35))/(x^2+x+1)^2)))+(-(-(823/5760/(x+1))))+(-(-(9967/1296000/(x-1))))+(-(9967/648000/(x-1)^2))+(-(1/270/(x^2+x+1)^3))+(1/240/(x+1)^3)+(79/151200/(x-1)^3)+(3/2800/(x-1)^4)+(1/12600/(x-1)^5))))))
+A339760 = (((-0.5)*(A005818+(-((-(-(1/(x-1))))+(-(2/(x-1)^2))+(-3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*integrate((A005818+(-((-(-(1/(x-1))))+(-(2/(x-1)^2))+(-3))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = ((1*differential((A005818+(-((-(-(1/(x-1))))+(-(2/(x-1)^2))+(-3))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339751 = ((None*(A005818+(-((-(2*x))+(-(2/(x-1)^2))+(-3)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005818+(-((-(2*x))+(-(2/(x-1)^2))+(-3))))))
+A056205 = (None*differential((A005818+(-((-(2*x))+(-(2/(x-1)^2))+(-3))))))
+A339623 = (((-(7/2))*differential((A005818+(-((-(2*x))+(-(-(1/(x-1))))+(-3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = ((1*(A005818+(-((-(2*x))+(-(-(1/(x-1))))+(-(2/(x-1)^2))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = (((-0.3333333333333333)*integrate((A005818+(-((-(2*x))+(-(-(1/(x-1))))+(-(2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate(A005822))
+A056205 = (None*differential(A005822))
+A339623 = (((7/2)*differential((A005843+(-(2/(x-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005868+(-((-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3)))))))
+A056205 = (None*differential((A005868+(-((-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3)))))))
+A056205 = (None*integrate((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3)))))))
+A056205 = (None*differential((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3)))))))
+A339751 = ((None*(A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3)))))))
+A056205 = (None*differential((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3)))))))
+A338544 = ((None*(A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3)))))))
+A056205 = (None*differential((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(1/40/(x-1)^2))+(-(1/40/(x-1)^3)))))))
+A339751 = ((None*(A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^3)))))))
+A056205 = (None*differential((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^3)))))))
+A339623 = ((None*(A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2)))))))
+A056205 = (None*differential((A005868+(-((-(((1/5)*(x^3-1))/(x^4+x^3+x^2+x+1)))+(-(-(((1/8)*(x-1))/(x^2+1))))+(-(-(3/32/(x+1))))+(-(-(93/160/(x-1))))+(-(3/16/(x+1)^2))+(-(1/40/(x-1)^2)))))))
+A339623 = (((-(7/5))*differential((A005891+(-((-(1/(x-1)))+(-(5/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/5)*(A005891+(-((-(1/(x-1)))+(-(5/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A005891+(-((-(1/(x-1)))+(-(5/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339751 = ((None*(A005892+(-((-(4/(x-1)))+(-(14/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005892+(-((-(4/(x-1)))+(-(14/(x-1)^3)))))))
+A056205 = (None*differential((A005892+(-((-(4/(x-1)))+(-(14/(x-1)^3)))))))
+A339623 = ((1*(A005892+(-((-(4/(x-1)))+(-(17/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005892+(-((-(4/(x-1)))+(-(17/(x-1)^2)))))))
+A056205 = (None*differential((A005892+(-((-(4/(x-1)))+(-(17/(x-1)^2)))))))
+A339623 = (((-(7/6))*differential((A005893+(-((-(4/(x-1)))+(-(4/(x-1)^3))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A005893+(-((-(4/(x-1)))+(-(6/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A005893+(-((-(4/(x-1)))+(-(6/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A005893+(-((-(4/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005893+(-((-(4/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/4)*differential((A005894+(-((1/(x-1))+(6/(x-1)^3)+(4/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/3))*(A005894+(-((1/(x-1))+(4/(x-1)^2)+(4/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005894+(-((1/(x-1))+(4/(x-1)^2)+(4/(x-1)^4))))))
+A056205 = (None*differential((A005894+(-((1/(x-1))+(4/(x-1)^2)+(4/(x-1)^4))))))
+A338588 = ((27*(A005894+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((2357*differential((A005894+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005897+(-((-(8/(x-1)))+(-(12/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A005897+(-((-(8/(x-1)))+(-(12/(x-1)^3))+(-1))))))
+A339623 = (((7/6)*(A005897+(-((-(8/(x-1)))+(-(18/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((3*differential((A005897+(-((-(8/(x-1)))+(-(18/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A005897+(-((-(8/(x-1)))+(-(18/(x-1)^2))+(-(12/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005897+(-((-(8/(x-1)))+(-(18/(x-1)^2))+(-(12/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005898+(-((-(8/(x-1)))+(-(12/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A005898+(-((-(8/(x-1)))+(-(12/(x-1)^3))+(-1))))))
+A339623 = (((7/6)*(A005898+(-((-(8/(x-1)))+(-(18/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((3*differential((A005898+(-((-(8/(x-1)))+(-(18/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A005898+(-((-(8/(x-1)))+(-(18/(x-1)^2))+(-(12/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005898+(-((-(8/(x-1)))+(-(18/(x-1)^2))+(-(12/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/12))*differential((A005899+(-((-(6/(x-1)))+(-(8/(x-1)^3))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A005899+(-((-(6/(x-1)))+(-(12/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A005899+(-((-(6/(x-1)))+(-(12/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A005899+(-((-(6/(x-1)))+(-(12/(x-1)^2))+(-(8/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005899+(-((-(6/(x-1)))+(-(12/(x-1)^2))+(-(8/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/5)*differential((A005900+(-((1/(x-1))+(8/(x-1)^3)+(4/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/4))*(A005900+(-((1/(x-1))+(5/(x-1)^2)+(4/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(9/2))*differential((A005900+(-((1/(x-1))+(5/(x-1)^2)+(4/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((27*(A005900+(-((1/(x-1))+(5/(x-1)^2)+(8/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((2357*differential((A005900+(-((1/(x-1))+(5/(x-1)^2)+(8/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005901+(-((-(30/(x-1)^2))+(-(20/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A005901+(-((-(30/(x-1)^2))+(-(20/(x-1)^3))+(-1))))))
+A339623 = (((-(7/30))*differential((A005901+(-((-(12/(x-1)))+(-(20/(x-1)^3))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/10)*(A005901+(-((-(12/(x-1)))+(-(30/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005901+(-((-(12/(x-1)))+(-(30/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A005901+(-((-(12/(x-1)))+(-(30/(x-1)^2))+(-1))))))
+A339760 = ((1*(A005901+(-((-(12/(x-1)))+(-(30/(x-1)^2))+(-(20/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005901+(-((-(12/(x-1)))+(-(30/(x-1)^2))+(-(20/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/12)*differential((A005902+(-((1/(x-1))+(30/(x-1)^3)+(20/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/15))*(A005902+(-((1/(x-1))+(12/(x-1)^2)+(20/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005902+(-((1/(x-1))+(12/(x-1)^2)+(20/(x-1)^4))))))
+A056205 = (None*differential((A005902+(-((1/(x-1))+(12/(x-1)^2)+(20/(x-1)^4))))))
+A338588 = ((None*(A005902+(-((1/(x-1))+(12/(x-1)^2)+(30/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005902+(-((1/(x-1))+(12/(x-1)^2)+(30/(x-1)^3))))))
+A056205 = (None*differential((A005902+(-((1/(x-1))+(12/(x-1)^2)+(30/(x-1)^3))))))
+A056205 = (None*integrate((A005903+(-((-(32/(x-1)))+(-(60/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A005903+(-((-(32/(x-1)))+(-(60/(x-1)^3))+(-1))))))
+A339623 = (((7/30)*(A005903+(-((-(32/(x-1)))+(-(90/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/5)*differential((A005903+(-((-(32/(x-1)))+(-(90/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A005903+(-((-(32/(x-1)))+(-(90/(x-1)^2))+(-(60/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005903+(-((-(32/(x-1)))+(-(90/(x-1)^2))+(-(60/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005906+(-((42/(x-1)^2)+(55/(x-1)^3)+(23/(x-1)^4))))))
+A056205 = (None*differential((A005906+(-((42/(x-1)^2)+(55/(x-1)^3)+(23/(x-1)^4))))))
+A339751 = ((None*(A005906+(-((10/(x-1))+(55/(x-1)^3)+(23/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005906+(-((10/(x-1))+(55/(x-1)^3)+(23/(x-1)^4))))))
+A056205 = (None*differential((A005906+(-((10/(x-1))+(55/(x-1)^3)+(23/(x-1)^4))))))
+A339623 = (((-(14/55))*(A005906+(-((10/(x-1))+(42/(x-1)^2)+(23/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/55))*differential((A005906+(-((10/(x-1))+(42/(x-1)^2)+(23/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((108/23)*(A005906+(-((10/(x-1))+(42/(x-1)^2)+(55/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/23)*differential((A005906+(-((10/(x-1))+(42/(x-1)^2)+(55/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005908+(-(-(2/5/(x-1)))))))
+A056205 = (None*differential((A005908+(-(-(2/5/(x-1)))))))
+A339751 = ((None*(A005908+(-(-(((1/5)*(((3*x^3)+(4*x^2)+(5*x))-2))/((x^4+(2*x^3)+(2*x^2)+x)-1))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005908+(-(-(((1/5)*(((3*x^3)+(4*x^2)+(5*x))-2))/((x^4+(2*x^3)+(2*x^2)+x)-1)))))))
+A056205 = (None*differential((A005908+(-(-(((1/5)*(((3*x^3)+(4*x^2)+(5*x))-2))/((x^4+(2*x^3)+(2*x^2)+x)-1)))))))
+A339751 = ((None*(A005910+(-((235/(x-1)^2)+(258/(x-1)^3)+(96/(x-1)^4)+6))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005910+(-((235/(x-1)^2)+(258/(x-1)^3)+(96/(x-1)^4)+6)))))
+A056205 = (None*differential((A005910+(-((235/(x-1)^2)+(258/(x-1)^3)+(96/(x-1)^4)+6)))))
+A339751 = ((None*(A005910+(-((79/(x-1))+(258/(x-1)^3)+(96/(x-1)^4)+6))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005910+(-((79/(x-1))+(258/(x-1)^3)+(96/(x-1)^4)+6)))))
+A056205 = (None*differential((A005910+(-((79/(x-1))+(258/(x-1)^3)+(96/(x-1)^4)+6)))))
+A339623 = ((None*(A005910+(-((79/(x-1))+(235/(x-1)^2)+(96/(x-1)^4)+6))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005910+(-((79/(x-1))+(235/(x-1)^2)+(96/(x-1)^4)+6)))))
+A056205 = (None*differential((A005910+(-((79/(x-1))+(235/(x-1)^2)+(96/(x-1)^4)+6)))))
+A338588 = (((9/8)*(A005910+(-((79/(x-1))+(235/(x-1)^2)+(258/(x-1)^3)+6))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005910+(-((79/(x-1))+(235/(x-1)^2)+(258/(x-1)^3)+6)))))
+A056205 = (None*differential((A005910+(-((79/(x-1))+(235/(x-1)^2)+(258/(x-1)^3)+6)))))
+A333469 = (((-1)*(A005910+(-((79/(x-1))+(235/(x-1)^2)+(258/(x-1)^3)+(96/(x-1)^4)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = ((0.1666666666666667*integrate((A005910+(-((79/(x-1))+(235/(x-1)^2)+(258/(x-1)^3)+(96/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A005914+(-((-(14/(x-1)))+(-(24/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005914+(-((-(14/(x-1)))+(-(24/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A005914+(-((-(14/(x-1)))+(-(24/(x-1)^3))+(-1))))))
+A339623 = (((7/12)*(A005914+(-((-(14/(x-1)))+(-(36/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((3/2)*differential((A005914+(-((-(14/(x-1)))+(-(36/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A005914+(-((-(14/(x-1)))+(-(36/(x-1)^2))+(-(24/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005914+(-((-(14/(x-1)))+(-(36/(x-1)^2))+(-(24/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*differential((A005915+(-((24/(x-1)^3)+(18/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/12))*(A005915+(-((7/(x-1)^2)+(18/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005915+(-((7/(x-1)^2)+(18/(x-1)^4))))))
+A056205 = (None*differential((A005915+(-((7/(x-1)^2)+(18/(x-1)^4))))))
+A338588 = ((6*(A005915+(-((7/(x-1)^2)+(24/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/3)*integrate((A005915+(-((7/(x-1)^2)+(24/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/9)*differential((A005915+(-((7/(x-1)^2)+(24/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005916+(-((-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x+1)^2)+(1/16/(x-1)^2)+(1/52/(x-1)^4))))))
+A056205 = (None*differential((A005916+(-((-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x+1)^2)+(1/16/(x-1)^2)+(1/52/(x-1)^4))))))
+A338544 = ((None*(A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x-1)^2)+(1/52/(x-1)^4)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x-1)^2)+(1/52/(x-1)^4))))))
+A056205 = (None*differential((A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x-1)^2)+(1/52/(x-1)^4))))))
+A339751 = ((None*(A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x+1)^2)+(1/52/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x+1)^2)+(1/52/(x-1)^4))))))
+A056205 = (None*differential((A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x+1)^2)+(1/52/(x-1)^4))))))
+A338588 = ((None*(A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x+1)^2)+(1/16/(x-1)^2)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x+1)^2)+(1/16/(x-1)^2))))))
+A056205 = (None*differential((A005916+(-((((1/13)*((3*x^8)+(2*x^7)+(6*x^6)+x^5+(2*x^4)+x^3+(6*x^2)+(2*x)+3))/(x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))+(-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(1/16/(x+1)^2)+(1/16/(x-1)^2))))))
+A056205 = (None*integrate((A005917+(-((15/(x-1))+(60/(x-1)^3)+(24/(x-1)^4)+1)))))
+A056205 = (None*differential((A005917+(-((15/(x-1))+(60/(x-1)^3)+(24/(x-1)^4)+1)))))
+A339623 = (((-(7/30))*(A005917+(-((15/(x-1))+(50/(x-1)^2)+(24/(x-1)^4)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005917+(-((15/(x-1))+(50/(x-1)^2)+(24/(x-1)^4)+1)))))
+A056205 = (None*differential((A005917+(-((15/(x-1))+(50/(x-1)^2)+(24/(x-1)^4)+1)))))
+A338588 = (((9/2)*(A005917+(-((15/(x-1))+(50/(x-1)^2)+(60/(x-1)^3)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A005917+(-((15/(x-1))+(50/(x-1)^2)+(60/(x-1)^3)+1)))))
+A056205 = (None*differential((A005917+(-((15/(x-1))+(50/(x-1)^2)+(60/(x-1)^3)+1)))))
+A339760 = (((-1)*(A005917+(-((15/(x-1))+(50/(x-1)^2)+(60/(x-1)^3)+(24/(x-1)^4)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A005917+(-((15/(x-1))+(50/(x-1)^2)+(60/(x-1)^3)+(24/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/9))*differential((A005918+(-((-(5/(x-1)))+(-(6/(x-1)^3))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A005918+(-((-(5/(x-1)))+(-(9/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A005918+(-((-(5/(x-1)))+(-(9/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A005918+(-((-(5/(x-1)))+(-(9/(x-1)^2))+(-(6/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A005918+(-((-(5/(x-1)))+(-(9/(x-1)^2))+(-(6/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335365 = ((None*(A005943+(-((-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A005943+(-((-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))
+A056205 = (None*differential((A005943+(-((-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))
+A338024 = ((None*(A005943+(-((-(2*x^7))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005943+(-((-(2*x^7))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))
+A056205 = (None*differential((A005943+(-((-(2*x^7))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))
+A338024 = ((None*(A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))
+A056205 = (None*differential((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))
+A338024 = (((-0.375)*(A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = ((0.125*differential((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((0.5*(A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))
+A056205 = (None*differential((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))
+A339623 = (((-0.25)*(A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(2*x)+(16/(x-1))+(8/(x-1)^2)+9)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(16/(x-1))+(8/(x-1)^2)+9))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(16/(x-1))+(8/(x-1)^2)+9)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(16/(x-1))+(8/(x-1)^2)+9)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339751 = ((None*(A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(8/(x-1)^2)+9))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(8/(x-1)^2)+9)))))
+A056205 = (None*differential((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(8/(x-1)^2)+9)))))
+A339623 = (((7/8)*differential((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+9)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A330395 = (((-1)*(A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2)))))+(2*x^4)+(-(-(5*x^3)))+(-(-(4*x^2)))+(-(-x))+(-(-(19/(x-1))))+(-(-(11/(x-1)^2)))+(-(1/(x-1)^4)))
+A056205 = (None*integrate((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2))))))
+A056205 = (None*differential((A005943+(-((-(2*x^7))+(-(4*x^6))+(-(8*x^5))+(-(8*x^4))+(-(8*x^3))+(-(4*x^2))+(2*x)+(16/(x-1))+(8/(x-1)^2))))))
+A339751 = ((None*(A005945+(-((6/(x-1))+(41/(x-1)^3)+(18/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005945+(-((6/(x-1))+(41/(x-1)^3)+(18/(x-1)^4))))))
+A056205 = (None*differential((A005945+(-((6/(x-1))+(41/(x-1)^3)+(18/(x-1)^4))))))
+A339623 = ((None*(A005945+(-((6/(x-1))+(29/(x-1)^2)+(18/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005945+(-((6/(x-1))+(29/(x-1)^2)+(18/(x-1)^4))))))
+A056205 = (None*differential((A005945+(-((6/(x-1))+(29/(x-1)^2)+(18/(x-1)^4))))))
+A338588 = ((6*(A005945+(-((6/(x-1))+(29/(x-1)^2)+(41/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((7/3)*integrate((A005945+(-((6/(x-1))+(29/(x-1)^2)+(41/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/9)*differential((A005945+(-((6/(x-1))+(29/(x-1)^2)+(41/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A005968+(-((-(((3/5)*(x+1))/(x^2-x-1)))+(-(1/2/(x-1))))))))
+A056205 = (None*differential((A005968+(-((-(((3/5)*(x+1))/(x^2-x-1)))+(-(1/2/(x-1))))))))
+A056205 = (None*integrate((A005968+(-((-(((1/10)*(x+1))/((x^2+(4*x))-1)))+(-(1/2/(x-1))))))))
+A056205 = (None*differential((A005968+(-((-(((1/10)*(x+1))/((x^2+(4*x))-1)))+(-(1/2/(x-1))))))))
+A056205 = (None*integrate((A005969+(-((((1/25)*(x+1))/((x^2-(7*x))+1))+(3/25/(x-1))+(6/25/(x-1)^2))))))
+A056205 = (None*differential((A005969+(-((((1/25)*(x+1))/((x^2-(7*x))+1))+(3/25/(x-1))+(6/25/(x-1)^2))))))
+A056205 = (None*integrate((A005969+(-((-(((4/25)*(x+1))/(x^2+(3*x)+1)))+(3/25/(x-1))+(6/25/(x-1)^2))))))
+A056205 = (None*differential((A005969+(-((-(((4/25)*(x+1))/(x^2+(3*x)+1)))+(3/25/(x-1))+(6/25/(x-1)^2))))))
+A339751 = ((None*(A005969+(-((-(((4/25)*(x+1))/(x^2+(3*x)+1)))+(((1/25)*(x+1))/((x^2-(7*x))+1))+(6/25/(x-1)^2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005969+(-((-(((4/25)*(x+1))/(x^2+(3*x)+1)))+(((1/25)*(x+1))/((x^2-(7*x))+1))+(6/25/(x-1)^2))))))
+A056205 = (None*differential((A005969+(-((-(((4/25)*(x+1))/(x^2+(3*x)+1)))+(((1/25)*(x+1))/((x^2-(7*x))+1))+(6/25/(x-1)^2))))))
+A339751 = ((None*(A005969+(-((-(((4/25)*(x+1))/(x^2+(3*x)+1)))+(((1/25)*(x+1))/((x^2-(7*x))+1))+(3/25/(x-1))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005969+(-((-(((4/25)*(x+1))/(x^2+(3*x)+1)))+(((1/25)*(x+1))/((x^2-(7*x))+1))+(3/25/(x-1)))))))
+A056205 = (None*differential((A005969+(-((-(((4/25)*(x+1))/(x^2+(3*x)+1)))+(((1/25)*(x+1))/((x^2-(7*x))+1))+(3/25/(x-1)))))))
+A027004 = ((None*(A005970+(-((-(1/(x+1)))+(2/(x-1))))))+(3/(x-1)))
+A056205 = (None*integrate((A005970+(-((-(1/(x+1)))+(2/(x-1)))))))
+A056205 = (None*differential((A005970+(-((-(1/(x+1)))+(2/(x-1)))))))
+A056205 = (None*integrate((A005971+(-((-((3*(x+2))/(x^2-x-1)))+(-(3/2/(x-1))))))))
+A056205 = (None*differential((A005971+(-((-((3*(x+2))/(x^2-x-1)))+(-(3/2/(x-1))))))))
+A324487 = ((None*(A005971+(-((-(((1/2)*((3*x)+11))/((x^2+(4*x))-1)))+(-(3/2/(x-1)))))))+(-((3*((3*x)+2))/(x^2+(3*x)+1)))+(-(-((3*((3*x)-2))/((x^2-(3*x))+1))))+(-(-((2*((2*x)-1))/((x^2+(4*x))-1))))+(-((6*(x-2))/((x^2+x)-1)))+(-(10/(x+1)))+(10/(x-1)))
+A056205 = (None*integrate((A005971+(-((-(((1/2)*((3*x)+11))/((x^2+(4*x))-1)))+(-(3/2/(x-1))))))))
+A056205 = (None*differential((A005971+(-((-(((1/2)*((3*x)+11))/((x^2+(4*x))-1)))+(-(3/2/(x-1))))))))
+A099496 = (None*(A005972+(-(((x+1)/((x^2-(7*x))+1))+(11/(x-1))+(6/(x-1)^2)))))
+A056205 = (None*integrate((A005972+(-(((x+1)/((x^2-(7*x))+1))+(11/(x-1))+(6/(x-1)^2))))))
+A056205 = (None*differential((A005972+(-(((x+1)/((x^2-(7*x))+1))+(11/(x-1))+(6/(x-1)^2))))))
+A266806 = ((None*(A005972+(-(((4*(x+1))/(x^2+(3*x)+1))+(11/(x-1))+(6/(x-1)^2)))))+(-(((36/5)*((2*x)+3))/(x^2+(3*x)+1)))+(17/5/(x-1)))
+A056205 = (None*integrate((A005972+(-(((4*(x+1))/(x^2+(3*x)+1))+(11/(x-1))+(6/(x-1)^2))))))
+A056205 = (None*differential((A005972+(-(((4*(x+1))/(x^2+(3*x)+1))+(11/(x-1))+(6/(x-1)^2))))))
+A339623 = (((7/6)*differential((A005972+(-(((4*(x+1))/(x^2+(3*x)+1))+((x+1)/((x^2-(7*x))+1))+(11/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337348 = ((None*(A005985+(-((-(3/4/((2*x)-1)))+(-(1/2/(x+1)))+(-(1/2/(x-1)))+(1/2/((2*x)-1)^2)))))+(-(2/9/((4*x)-1)))+(-(1/2/((2*x)-1)))+(-(2/9/(x-1))))
+A056205 = (None*integrate((A005985+(-((-(3/4/((2*x)-1)))+(-(1/2/(x+1)))+(-(1/2/(x-1)))+(1/2/((2*x)-1)^2))))))
+A056205 = (None*differential((A005985+(-((-(3/4/((2*x)-1)))+(-(1/2/(x+1)))+(-(1/2/(x-1)))+(1/2/((2*x)-1)^2))))))
+A339760 = ((None*(A005985+(-((1/4/((2*x)+1))+(-(1/2/(x+1)))+(-(1/2/(x-1)))+(1/2/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A005985+(-((1/4/((2*x)+1))+(-(1/2/(x+1)))+(-(1/2/(x-1)))+(1/2/((2*x)-1)^2))))))
+A056205 = (None*differential((A005985+(-((1/4/((2*x)+1))+(-(1/2/(x+1)))+(-(1/2/(x-1)))+(1/2/((2*x)-1)^2))))))
+A337631 = ((2*differential((A005985+(-((1/4/((2*x)+1))+(-(3/4/((2*x)-1)))+(-(1/2/(x+1)))+(-(1/2/(x-1))))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A337962 = ((18856*differential((A005993+(-((1/8/(x+1))+(-(1/8/(x-1)))+(1/8/(x+1)^2)+(1/8/(x-1)^2))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338717 = ((None*(A005994+(-((-(-(3/32/(x-1))))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005994+(-((-(-(3/32/(x-1))))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5)))))))
+A056205 = (None*differential((A005994+(-((-(-(3/32/(x-1))))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5)))))))
+A339751 = ((None*(A005994+(-((3/32/(x+1))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005994+(-((3/32/(x+1))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5)))))))
+A056205 = (None*differential((A005994+(-((3/32/(x+1))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5)))))))
+A339751 = ((None*(A005994+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005994+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5)))))))
+A056205 = (None*differential((A005994+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(1/16/(x+1)^2))+(-(1/8/(x-1)^3))+(-(1/2/(x-1)^5)))))))
+A338717 = ((None*(A005995+(-((-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A005995+(-((-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6))))))
+A056205 = (None*differential((A005995+(-((-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6))))))
+A339751 = ((None*(A005995+(-((3/32/(x+1))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005995+(-((3/32/(x+1))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6))))))
+A056205 = (None*differential((A005995+(-((3/32/(x+1))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6))))))
+A339751 = ((None*(A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6))))))
+A056205 = (None*differential((A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6))))))
+A336974 = ((None*(A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6))))))
+A056205 = (None*differential((A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x-1)^3))+(1/2/(x-1)^6))))))
+A339623 = ((None*(A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(1/2/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(1/2/(x-1)^6))))))
+A056205 = (None*differential((A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(1/2/(x-1)^6))))))
+A337962 = ((25024*differential((A005995+(-((3/32/(x+1))+(-(-(3/32/(x-1))))+(-(3/32/(x+1)^2))+(-(3/32/(x-1)^2))+(-(1/16/(x+1)^3))+(-(1/16/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*differential((A005996+(-((1/8/(x+1))+(-(1/8/(x-1)))+(1/8/(x+1)^2)+(1/8/(x-1)^2))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A005997+(-((-(1/8/(x+1)^2))+(5/2/(x-1)^3)+(3/2/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005997+(-((-(1/8/(x+1)^2))+(5/2/(x-1)^3)+(3/2/(x-1)^4))))))
+A056205 = (None*differential((A005997+(-((-(1/8/(x+1)^2))+(5/2/(x-1)^3)+(3/2/(x-1)^4))))))
+A339623 = ((None*(A005997+(-((-(1/8/(x+1)^2))+(9/8/(x-1)^2)+(3/2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005997+(-((-(1/8/(x+1)^2))+(9/8/(x-1)^2)+(3/2/(x-1)^4))))))
+A056205 = (None*differential((A005997+(-((-(1/8/(x+1)^2))+(9/8/(x-1)^2)+(3/2/(x-1)^4))))))
+A337962 = (((18856/3)*differential((A005997+(-((-(1/8/(x+1)^2))+(9/8/(x-1)^2)+(5/2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A005998+(-((1/(x-1))+(-(1/8/(x+1)^2))+(7/2/(x-1)^3)+(3/2/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005998+(-((1/(x-1))+(-(1/8/(x+1)^2))+(7/2/(x-1)^3)+(3/2/(x-1)^4))))))
+A056205 = (None*differential((A005998+(-((1/(x-1))+(-(1/8/(x+1)^2))+(7/2/(x-1)^3)+(3/2/(x-1)^4))))))
+A339623 = ((None*(A005998+(-((1/(x-1))+(-(1/8/(x+1)^2))+(25/8/(x-1)^2)+(3/2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A005998+(-((1/(x-1))+(-(1/8/(x+1)^2))+(25/8/(x-1)^2)+(3/2/(x-1)^4))))))
+A056205 = (None*differential((A005998+(-((1/(x-1))+(-(1/8/(x+1)^2))+(25/8/(x-1)^2)+(3/2/(x-1)^4))))))
+A337962 = (((18856/3)*differential((A005998+(-((1/(x-1))+(-(1/8/(x+1)^2))+(25/8/(x-1)^2)+(7/2/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A005999+(-((1/8/(x+1))+(1/8/(x+1)^2)+(25/8/(x-1)^2)+(3/(x-1)^3)+(3/2/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A005999+(-((1/8/(x+1))+(1/8/(x+1)^2)+(25/8/(x-1)^2)+(3/(x-1)^3)+(3/2/(x-1)^4))))))
+A056205 = (None*differential((A005999+(-((1/8/(x+1))+(1/8/(x+1)^2)+(25/8/(x-1)^2)+(3/(x-1)^3)+(3/2/(x-1)^4))))))
+A339751 = ((None*(A005999+(-((1/8/(x+1))+(7/8/(x-1))+(1/8/(x+1)^2)+(3/(x-1)^3)+(3/2/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A005999+(-((1/8/(x+1))+(7/8/(x-1))+(1/8/(x+1)^2)+(3/(x-1)^3)+(3/2/(x-1)^4))))))
+A056205 = (None*differential((A005999+(-((1/8/(x+1))+(7/8/(x-1))+(1/8/(x+1)^2)+(3/(x-1)^3)+(3/2/(x-1)^4))))))
+A339623 = (((-(14/3))*(A005999+(-((1/8/(x+1))+(7/8/(x-1))+(1/8/(x+1)^2)+(25/8/(x-1)^2)+(3/2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-12)*differential((A005999+(-((1/8/(x+1))+(7/8/(x-1))+(1/8/(x+1)^2)+(25/8/(x-1)^2)+(3/2/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((18856/3)*differential((A005999+(-((1/8/(x+1))+(7/8/(x-1))+(1/8/(x+1)^2)+(25/8/(x-1)^2)+(3/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/2)*differential((A006000+(-((4/(x-1)^3)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2))*(A006000+(-((2/(x-1)^2)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-9)*differential((A006000+(-((2/(x-1)^2)+(3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A006000+(-((2/(x-1)^2)+(4/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A006000+(-((2/(x-1)^2)+(4/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A006000+(-((2/(x-1)^2)+(4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/6)*differential((A006001+(-((2/(x-1))+(6/(x-1)^3)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/3))*(A006001+(-((2/(x-1))+(6/(x-1)^2)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006001+(-((2/(x-1))+(6/(x-1)^2)+(3/(x-1)^4))))))
+A056205 = (None*differential((A006001+(-((2/(x-1))+(6/(x-1)^2)+(3/(x-1)^4))))))
+A338588 = ((36*(A006001+(-((2/(x-1))+(6/(x-1)^2)+(6/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A006001+(-((2/(x-1))+(6/(x-1)^2)+(6/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A006001+(-((2/(x-1))+(6/(x-1)^2)+(6/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((7*differential((A006002+(-((4/(x-1)^3)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2))*(A006002+(-((1/(x-1)^2)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-9)*differential((A006002+(-((1/(x-1)^2)+(3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A006002+(-((1/(x-1)^2)+(4/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A006002+(-((1/(x-1)^2)+(4/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A006002+(-((1/(x-1)^2)+(4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/4)*differential((A006003+(-((1/(x-1))+(6/(x-1)^3)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/3))*(A006003+(-((1/(x-1))+(4/(x-1)^2)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006003+(-((1/(x-1))+(4/(x-1)^2)+(3/(x-1)^4))))))
+A056205 = (None*differential((A006003+(-((1/(x-1))+(4/(x-1)^2)+(3/(x-1)^4))))))
+A338588 = ((36*(A006003+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A006003+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A006003+(-((1/(x-1))+(4/(x-1)^2)+(6/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/4)*differential((A006004+(-((1/(x-1))+(5/(x-1)^3)+(3/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(14/5))*(A006004+(-((1/(x-1))+(4/(x-1)^2)+(3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(36/5))*differential((A006004+(-((1/(x-1))+(4/(x-1)^2)+(3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((36*(A006004+(-((1/(x-1))+(4/(x-1)^2)+(5/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A006004+(-((1/(x-1))+(4/(x-1)^2)+(5/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A006004+(-((1/(x-1))+(4/(x-1)^2)+(5/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((14*(A006007+(-((-(2/(x-1)^4))+(-(2/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A006007+(-((-(2/(x-1)^4))+(-(2/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-54)*(A006007+(-((-(1/(x-1)^3))+(-(2/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-4714)*differential((A006007+(-((-(1/(x-1)^3))+(-(2/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18856*(A006007+(-((-(1/(x-1)^3))+(-(2/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*differential((A006007+(-((-(1/(x-1)^3))+(-(2/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338717 = ((None*(A006009+(-((-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(1/4/(x-1)^3))+(-(3/(x-1)^4))+(-(3/(x-1)^5))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006009+(-((-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(1/4/(x-1)^3))+(-(3/(x-1)^4))+(-(3/(x-1)^5)))))))
+A056205 = (None*differential((A006009+(-((-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(1/4/(x-1)^3))+(-(3/(x-1)^4))+(-(3/(x-1)^5)))))))
+A338588 = (((-36)*(A006009+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(1/4/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A006009+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(1/4/(x-1)^3))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A006009+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(1/4/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A006009+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(1/4/(x-1)^3))+(-(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A006009+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(1/4/(x-1)^3))+(-(3/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((None*(A006010+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(6/(x-1)^4))+(-(3/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006010+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(6/(x-1)^4))+(-(3/(x-1)^5)))))))
+A056205 = (None*differential((A006010+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(6/(x-1)^4))+(-(3/(x-1)^5)))))))
+A338588 = (((-18)*(A006010+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(15/4/(x-1)^3))+(-(3/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-7)*integrate((A006010+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(15/4/(x-1)^3))+(-(3/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(4714/3))*differential((A006010+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(15/4/(x-1)^3))+(-(3/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((37712/3)*(A006010+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(15/4/(x-1)^3))+(-(6/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(23774/5))*differential((A006010+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(15/4/(x-1)^3))+(-(6/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-36)*(A006011+(-(-(6/(x-1)^5)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-14)*integrate((A006011+(-(-(6/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(9428/3))*differential((A006011+(-(-(6/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((18856/3)*(A006011+(-(-(3/(x-1)^4)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(11887/5))*differential((A006011+(-(-(3/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A265185 = (None*A006012)
+A056205 = (None*integrate(A006012))
+A056205 = (None*differential(A006012))
+A056205 = (None*integrate(A006013))
+A056205 = (None*differential(A006013))
+A056205 = (None*integrate((A006051+(-((-(1/8/(x-1)))+(-1))))))
+A056205 = (None*differential((A006051+(-((-(1/8/(x-1)))+(-1))))))
+A339760 = ((1*(A006051+(-((-(((7/8)*((193*x)-1))/((x^2-(194*x))+1)))+(-(1/8/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A006051+(-((-(((7/8)*((193*x)-1))/((x^2-(194*x))+1)))+(-(1/8/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate(A006053))
+A056205 = (None*differential(A006053))
+A056205 = (None*integrate(A006053))
+A056205 = (None*differential(A006053))
+A243862 = ((None*A006054)+(-(-(-(-(-(-((6*((2*x^2)+(3*x)+2))/((x^3+x^2)-1))))))))+(-(-(-(-(-(-((6*((2*x^2)-x-2))/((x^3-(2*x^2)-x)+1))))))))+(-(-(-(-(-((6*(x^2+(2*x)+1))/((x^3+(2*x^2)+x)-1)))))))+(-(-(-(-(-((12*(x^2+(2*x)+1))/((x^3+x^2+x)-1)))))))+(-(-(-(-((6*(x^2+x+2))/((x^3+x)-1))))))+(-(-(-(-((6*((x^2-x)+2))/(((x^3-x^2)+(2*x))-1))))))+(-(-(-((3*((3*x)+2))/((2*x^2)-1)))))+(-(-(-((12*(x+2))/((x^2+x)-1)))))+(-(-((6*(x+1))/((x^3+(2*x))-1))))+(-(-((3*(x+1))/(((2*x^2)+(2*x))-1))))+(-(-((18*(x+1))/((x^2+(2*x))-1))))+(-(-(6/(((x^3-(2*x^2))+(3*x))-1))))+(-(-(6/((x^2-(3*x))+1))))+(-(-(1/((3*x)-1))))+(-(41/((2*x)-1)))+(-(1/(x+1)))+(-(6/(x-1)))+2)
+A056205 = (None*integrate(A006054))
+A056205 = (None*differential(A006054))
+A056205 = (None*integrate((A006060+(-(-(5/16/(x-1)))))))
+A056205 = (None*differential((A006060+(-(-(5/16/(x-1)))))))
+A339751 = ((None*(A006060+(-(((21/16)*(x-1))/((x^2-(194*x))+1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006060+(-(((21/16)*(x-1))/((x^2-(194*x))+1))))))
+A056205 = (None*differential((A006060+(-(((21/16)*(x-1))/((x^2-(194*x))+1))))))
+A056205 = (None*integrate((A006062+(-((-(1/8/(x-1)))+(-1))))))
+A056205 = (None*differential((A006062+(-((-(1/8/(x-1)))+(-1))))))
+A339760 = ((1*(A006062+(-((-(((9/8)*((33*x)-1))/((x^2-(34*x))+1)))+(-(1/8/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A006062+(-((-(((9/8)*((33*x)-1))/((x^2-(34*x))+1)))+(-(1/8/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((1/2)*differential((A006071+(-((-(2/(x-1)))+(48/(x-1)^3)+(32/(x-1)^4)+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/24))*(A006071+(-((-(2/(x-1)))+(14/(x-1)^2)+(32/(x-1)^4)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006071+(-((-(2/(x-1)))+(14/(x-1)^2)+(32/(x-1)^4)+1)))))
+A056205 = (None*differential((A006071+(-((-(2/(x-1)))+(14/(x-1)^2)+(32/(x-1)^4)+1)))))
+A338588 = ((None*(A006071+(-((-(2/(x-1)))+(14/(x-1)^2)+(48/(x-1)^3)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006071+(-((-(2/(x-1)))+(14/(x-1)^2)+(48/(x-1)^3)+1)))))
+A056205 = (None*differential((A006071+(-((-(2/(x-1)))+(14/(x-1)^2)+(48/(x-1)^3)+1)))))
+A339760 = (((-1)*(A006071+(-((-(2/(x-1)))+(14/(x-1)^2)+(48/(x-1)^3)+(32/(x-1)^4)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A006071+(-((-(2/(x-1)))+(14/(x-1)^2)+(48/(x-1)^3)+(32/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-14)*differential((A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(2/(x+1)^3))+(2/(x-1)^3)+(2/(x+1)^4)+(2/(x-1)^4)+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A336974 = ((None*(A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(2/(x-1)^3)+(2/(x+1)^4)+(2/(x-1)^4)+1))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(2/(x-1)^3)+(2/(x+1)^4)+(2/(x-1)^4)+1)))))
+A056205 = (None*differential((A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(2/(x-1)^3)+(2/(x+1)^4)+(2/(x-1)^4)+1)))))
+A339623 = (((-7)*(A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x+1)^4)+(2/(x-1)^4)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x+1)^4)+(2/(x-1)^4)+1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A333469 = ((None*(A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x-1)^3)+(2/(x-1)^4)+1))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x-1)^3)+(2/(x-1)^4)+1)))))
+A056205 = (None*differential((A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x-1)^3)+(2/(x-1)^4)+1)))))
+A338588 = ((54*(A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x-1)^3)+(2/(x+1)^4)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*differential((A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x-1)^3)+(2/(x+1)^4)+1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = (((-1)*(A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x-1)^3)+(2/(x+1)^4)+(2/(x-1)^4)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A006071+(-((1/2/(x+1))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-(2/(x+1)^3))+(2/(x-1)^3)+(2/(x+1)^4)+(2/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A006071+(-((-(1/(x+1)))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006071+(-((-(1/(x+1)))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))
+A056205 = (None*differential((A006071+(-((-(1/(x+1)))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))
+A338544 = ((None*(A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))
+A056205 = (None*differential((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))
+A339751 = ((None*(A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))
+A056205 = (None*differential((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))
+A336974 = ((None*(A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))
+A056205 = (None*differential((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))
+A339623 = ((7*(A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x+1)^4))+(2/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A333469 = ((None*(A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(2/(x-1)^4)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(2/(x-1)^4))))))
+A056205 = (None*differential((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(2/(x-1)^4))))))
+A338588 = ((54*(A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*differential((A006071+(-((-(1/(x+1)))+(-(-(-(1/(x-1)))))+(-(-(1/2/(x+1)^2)))+(-(-(1/2/(x-1)^2)))+(-(2/(x+1)^3))+(-(2/(x-1)^3))+(-(2/(x+1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337120 = (((-4)*(A006071+(-((-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A006071+(-((-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((None*(A006071+(-(x^3+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006071+(-(x^3+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6))))))
+A056205 = (None*differential((A006071+(-(x^3+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6))))))
+A056205 = (None*integrate((A006071+(-(x^3+(-(-(5*x)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6))))))
+A056205 = (None*differential((A006071+(-(x^3+(-(-(5*x)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6))))))
+A339751 = ((None*(A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6))))))
+A056205 = (None*differential((A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^3))+(-(16/(x-1)^4))+(-6))))))
+A339623 = ((None*(A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(16/(x-1)^4))+(-6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(16/(x-1)^4))+(-6))))))
+A056205 = (None*differential((A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(16/(x-1)^4))+(-6))))))
+A338588 = ((None*(A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-6))))))
+A056205 = (None*differential((A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-6))))))
+A333469 = ((1*(A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A006071+(-(x^3+(-(-(5*x)))+(-(10/(x-1)))+(-(48/(x-1)^2))+(-(48/(x-1)^3))+(-(16/(x-1)^4)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006078+(-((-(((1/8)*(((3*sqrt(((-(4*x^2))+1)))+sqrt(((-(4*x))+1)))-4))/x^2))+(-(1/2)))))))
+A056205 = (None*differential((A006078+(-((-(((1/8)*(((3*sqrt(((-(4*x^2))+1)))+sqrt(((-(4*x))+1)))-4))/x^2))+(-(1/2)))))))
+A339623 = (((-1)*(A006083+(-((-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+(1/9/(x-1)^2)+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A006083+(-((-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+(1/9/(x-1)^2)+1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006083+(-((-x^2)+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+(1/9/(x-1)^2)+1)))))
+A056205 = (None*differential((A006083+(-((-x^2)+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+(1/9/(x-1)^2)+1)))))
+A056205 = (None*integrate((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+(1/9/(x-1)^2)+1)))))
+A056205 = (None*differential((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+(1/9/(x-1)^2)+1)))))
+A056205 = (None*integrate((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(19/18/(x-1)))+(1/9/(x-1)^2)+1)))))
+A056205 = (None*differential((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(19/18/(x-1)))+(1/9/(x-1)^2)+1)))))
+A339751 = ((None*(A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(1/9/(x-1)^2)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(1/9/(x-1)^2)+1)))))
+A056205 = (None*differential((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(1/9/(x-1)^2)+1)))))
+A339751 = ((None*(A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+1)))))
+A056205 = (None*differential((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+1)))))
+A339760 = (((-1)*(A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+(1/9/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A006083+(-((-x^2)+(-(-(((1/18)*((17*x)+36))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(-(((1/3)*(x+1))/(x^2+x+1)^2))+(-(19/18/(x-1)))+(1/9/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A006084+(-((-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A006084+(-((-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((1*(A006084+(-(x^3+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A006084+(-(x^3+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A006084+(-(x^3+(-(-x))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))
+A056205 = (None*differential((A006084+(-(x^3+(-(-x))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))
+A056205 = (None*integrate((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))
+A056205 = (None*differential((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))
+A056205 = (None*integrate((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))
+A056205 = (None*differential((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))
+A339751 = ((None*(A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))
+A056205 = (None*differential((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)+1)))))
+A221920 = ((None*(A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(22/81/(x-1)^2)+1))))+(-(6*x^2))+(-(-(((4/3)*x^3)/(x^6+x^3+1))))+(-(-(3*x)))+(-(((20/27)*(x+3))/(x^2+x+1)))+(-(((20/9)*(x+1))/(x^2+x+1)^2))+(61/27/(x-1))+(61/27/(x-1)^2))
+A056205 = (None*integrate((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(22/81/(x-1)^2)+1)))))
+A056205 = (None*differential((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(22/81/(x-1)^2)+1)))))
+A339751 = ((None*(A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+1)))))
+A056205 = (None*differential((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+1)))))
+A339760 = (((-1)*(A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A006084+(-(x^3+(-(-x))+(-(-(((1/9)*(((24*x^4)+(11*x^3)+(12*x))-37))/(x^6+x^3+1))))+(-(-(((1/81)*((7*x)+144))/(x^2+x+1))))+(-(((22/27)*(x+1))/(x^2+x+1)^2))+(-(74/81/(x-1)))+(-(16/3/(x^6+x^3+1)^2))+(22/81/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((3*(A006085+(-((-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A337120 = (((-1)*differential((A006085+(-((-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A337120 = ((None*(A006085+(-(x^4+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A006085+(-(x^4+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A339623 = ((1*(A006085+(-(x^4+(-(-(8*x^3)))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((None*(A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*integrate((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*integrate((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*integrate((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A338717 = ((None*(A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A339751 = ((None*(A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(((1/16)*(x-1))/(x^2+1)^2))+(1/32/(x-1)^2))))))
+A056205 = (None*integrate((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(1/32/(x-1)^2))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(1/32/(x-1)^2))))))
+A339751 = ((None*(A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2)))))))
+A056205 = (None*differential((A006085+(-(x^4+(-(-(8*x^3)))+(-(-x^2))+(-(-(6*x)))+(-(-(((1/4)*(((3*x^3)-(12*x))+5))/(x^4+1))))+(-(((1/16)*((30*x)-1))/(x^2+1)))+(-(((1/4)*(x^3+1))/(x^4+1)^2))+(-(37/64/(x+1)))+(-(99/64/(x-1)))+(-(((1/16)*(x-1))/(x^2+1)^2)))))))
+A056205 = (None*integrate((A006090+(-((((1/6)*((2*x)+1))/(x^2+x+1))+(16/3/((2*x)+1)))))))
+A056205 = (None*differential((A006090+(-((((1/6)*((2*x)+1))/(x^2+x+1))+(16/3/((2*x)+1)))))))
+A056205 = (None*integrate((A006090+(-((-(((9/2)*((2*x)+1))/((3*x^2)+(3*x)+1)))+(16/3/((2*x)+1)))))))
+A056205 = (None*differential((A006090+(-((-(((9/2)*((2*x)+1))/((3*x^2)+(3*x)+1)))+(16/3/((2*x)+1)))))))
+A337348 = ((None*(A006090+(-((-(((9/2)*((2*x)+1))/((3*x^2)+(3*x)+1)))+(((1/6)*((2*x)+1))/(x^2+x+1))))))+(-(2/9/((4*x)-1)))+(-(1/2/((2*x)-1)))+(-(2/9/(x-1))))
+A056205 = (None*integrate((A006090+(-((-(((9/2)*((2*x)+1))/((3*x^2)+(3*x)+1)))+(((1/6)*((2*x)+1))/(x^2+x+1)))))))
+A056205 = (None*differential((A006090+(-((-(((9/2)*((2*x)+1))/((3*x^2)+(3*x)+1)))+(((1/6)*((2*x)+1))/(x^2+x+1)))))))
+A339760 = (((-1)*differential((A006095+(-((-(1/6/((4*x)-1)))+(-(1/3/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A335332 = ((None*(A006096+(-((-(1/24/((4*x)-1)))+(-(1/12/((2*x)-1)))+(1/21/(x-1))))))+(224*x)+(-(-(((8/5)*((59*x)-11))/(x^2+1))))+(-(-(32/5/((2*x)+1))))+(-(-(32/15/((2*x)-1))))+(-(265/3/(x+1)))+(-(58/(x-1)))+(-44))
+A056205 = (None*integrate((A006096+(-((-(1/24/((4*x)-1)))+(-(1/12/((2*x)-1)))+(1/21/(x-1)))))))
+A056205 = (None*differential((A006096+(-((-(1/24/((4*x)-1)))+(-(1/12/((2*x)-1)))+(1/21/(x-1)))))))
+A339760 = ((None*(A006096+(-((-(1/168/((8*x)-1)))+(-(1/24/((4*x)-1)))+(1/21/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006096+(-((-(1/168/((8*x)-1)))+(-(1/24/((4*x)-1)))+(1/21/(x-1)))))))
+A056205 = (None*differential((A006096+(-((-(1/168/((8*x)-1)))+(-(1/24/((4*x)-1)))+(1/21/(x-1)))))))
+A339751 = ((None*(A006096+(-((-(1/168/((8*x)-1)))+(-(1/24/((4*x)-1)))+(-(1/12/((2*x)-1)))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006096+(-((-(1/168/((8*x)-1)))+(-(1/24/((4*x)-1)))+(-(1/12/((2*x)-1))))))))
+A056205 = (None*differential((A006096+(-((-(1/168/((8*x)-1)))+(-(1/24/((4*x)-1)))+(-(1/12/((2*x)-1))))))))
+A056205 = (None*integrate((A006097+(-((-(-(1/1344/((8*x)-1))))+(-(-(1/288/((4*x)-1))))+(-(1/168/((2*x)-1)))+(-(1/315/(x-1))))))))
+A056205 = (None*differential((A006097+(-((-(-(1/1344/((8*x)-1))))+(-(-(1/288/((4*x)-1))))+(-(1/168/((2*x)-1)))+(-(1/315/(x-1))))))))
+A335332 = ((None*(A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/288/((4*x)-1))))+(-(1/168/((2*x)-1)))+(-(1/315/(x-1)))))))+(224*x)+(-(-(((8/5)*((59*x)-11))/(x^2+1))))+(-(-(32/5/((2*x)+1))))+(-(-(32/15/((2*x)-1))))+(-(265/3/(x+1)))+(-(58/(x-1)))+(-44))
+A056205 = (None*integrate((A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/288/((4*x)-1))))+(-(1/168/((2*x)-1)))+(-(1/315/(x-1))))))))
+A056205 = (None*differential((A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/288/((4*x)-1))))+(-(1/168/((2*x)-1)))+(-(1/315/(x-1))))))))
+A339240 = ((None*(A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(1/168/((2*x)-1)))+(-(1/315/(x-1)))))))+(x/((-(4*x))+1)^1.5)+(1/4/((4*x)-1)^2))
+A056205 = (None*integrate((A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(1/168/((2*x)-1)))+(-(1/315/(x-1))))))))
+A056205 = (None*differential((A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(1/168/((2*x)-1)))+(-(1/315/(x-1))))))))
+A339760 = ((None*(A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(-(1/288/((4*x)-1))))+(-(1/315/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(-(1/288/((4*x)-1))))+(-(1/315/(x-1))))))))
+A056205 = (None*differential((A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(-(1/288/((4*x)-1))))+(-(1/315/(x-1))))))))
+A339751 = ((None*(A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(-(1/288/((4*x)-1))))+(-(1/168/((2*x)-1)))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(-(1/288/((4*x)-1))))+(-(1/168/((2*x)-1))))))))
+A056205 = (None*differential((A006097+(-((-(1/20160/((16*x)-1)))+(-(-(1/1344/((8*x)-1))))+(-(-(1/288/((4*x)-1))))+(-(1/168/((2*x)-1))))))))
+A338154 = ((None*(A006100+(-((-(1/12/((3*x)-1)))+(-(1/16/(x-1)))))))+(-(24*x^2))+(-((2*((7*x)-2))/(((9*x^2)-(7*x))+1)))+(-(5/(x-1)))+(-2))
+A056205 = (None*integrate((A006100+(-((-(1/12/((3*x)-1)))+(-(1/16/(x-1))))))))
+A056205 = (None*differential((A006100+(-((-(1/12/((3*x)-1)))+(-(1/16/(x-1))))))))
+A339487 = ((None*(A006100+(-((-(1/48/((9*x)-1)))+(-(1/16/(x-1)))))))+(-(1/210/((15*x)-1)))+(-(1/10/((5*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A006100+(-((-(1/48/((9*x)-1)))+(-(1/16/(x-1))))))))
+A056205 = (None*differential((A006100+(-((-(1/48/((9*x)-1)))+(-(1/16/(x-1))))))))
+A334908 = ((None*(A006105+(-((-(1/36/((4*x)-1)))+(-(1/45/(x-1)))))))+(-(8/27/((8*x)+1)))+(-(2/27/((4*x)-1)))+(-(1/81/((2*x)+1))))
+A056205 = (None*integrate((A006105+(-((-(1/36/((4*x)-1)))+(-(1/45/(x-1))))))))
+A056205 = (None*differential((A006105+(-((-(1/36/((4*x)-1)))+(-(1/45/(x-1))))))))
+A339240 = ((None*(A006105+(-((-(1/180/((16*x)-1)))+(-(1/45/(x-1)))))))+(x/((-(4*x))+1)^1.5)+(1/4/((4*x)-1)^2))
+A056205 = (None*integrate((A006105+(-((-(1/180/((16*x)-1)))+(-(1/45/(x-1))))))))
+A056205 = (None*differential((A006105+(-((-(1/180/((16*x)-1)))+(-(1/45/(x-1))))))))
+A339751 = ((None*(A006105+(-((-(1/180/((16*x)-1)))+(-(1/36/((4*x)-1)))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006105+(-((-(1/180/((16*x)-1)))+(-(1/36/((4*x)-1))))))))
+A056205 = (None*differential((A006105+(-((-(1/180/((16*x)-1)))+(-(1/36/((4*x)-1))))))))
+A056205 = (None*integrate((A006106+(-((-(1/8640/((16*x)-1)))+(-(1/2160/((4*x)-1)))+(1/2835/(x-1)))))))
+A056205 = (None*differential((A006106+(-((-(1/8640/((16*x)-1)))+(-(1/2160/((4*x)-1)))+(1/2835/(x-1)))))))
+A334908 = ((None*(A006106+(-((-(1/181440/((64*x)-1)))+(-(1/2160/((4*x)-1)))+(1/2835/(x-1))))))+(-(8/27/((8*x)+1)))+(-(2/27/((4*x)-1)))+(-(1/81/((2*x)+1))))
+A056205 = (None*integrate((A006106+(-((-(1/181440/((64*x)-1)))+(-(1/2160/((4*x)-1)))+(1/2835/(x-1)))))))
+A056205 = (None*differential((A006106+(-((-(1/181440/((64*x)-1)))+(-(1/2160/((4*x)-1)))+(1/2835/(x-1)))))))
+A339240 = ((None*(A006106+(-((-(1/181440/((64*x)-1)))+(-(1/8640/((16*x)-1)))+(1/2835/(x-1))))))+(x/((-(4*x))+1)^1.5)+(1/4/((4*x)-1)^2))
+A056205 = (None*integrate((A006106+(-((-(1/181440/((64*x)-1)))+(-(1/8640/((16*x)-1)))+(1/2835/(x-1)))))))
+A056205 = (None*differential((A006106+(-((-(1/181440/((64*x)-1)))+(-(1/8640/((16*x)-1)))+(1/2835/(x-1)))))))
+A339751 = ((None*(A006106+(-((-(1/181440/((64*x)-1)))+(-(1/8640/((16*x)-1)))+(-(1/2160/((4*x)-1)))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006106+(-((-(1/181440/((64*x)-1)))+(-(1/8640/((16*x)-1)))+(-(1/2160/((4*x)-1))))))))
+A056205 = (None*differential((A006106+(-((-(1/181440/((64*x)-1)))+(-(1/8640/((16*x)-1)))+(-(1/2160/((4*x)-1))))))))
+A056205 = (None*integrate((A006107+(-((-(-(1/34836480/((64*x)-1))))+(-(-(1/2073600/((16*x)-1))))+(-(1/544320/((4*x)-1)))+(-(1/722925/(x-1))))))))
+A056205 = (None*differential((A006107+(-((-(-(1/34836480/((64*x)-1))))+(-(-(1/2073600/((16*x)-1))))+(-(1/544320/((4*x)-1)))+(-(1/722925/(x-1))))))))
+A056205 = (None*integrate((A006107+(-((-(((1/2.9611008)*E9)/((256*x)-1)))+(-(-(1/2073600/((16*x)-1))))+(-(1/544320/((4*x)-1)))+(-(1/722925/(x-1))))))))
+A056205 = (None*differential((A006107+(-((-(((1/2.9611008)*E9)/((256*x)-1)))+(-(-(1/2073600/((16*x)-1))))+(-(1/544320/((4*x)-1)))+(-(1/722925/(x-1))))))))
+A056205 = (None*integrate((A006107+(-((-(((1/2.9611008)*E9)/((256*x)-1)))+(-(-(1/34836480/((64*x)-1))))+(-(1/544320/((4*x)-1)))+(-(1/722925/(x-1))))))))
+A056205 = (None*differential((A006107+(-((-(((1/2.9611008)*E9)/((256*x)-1)))+(-(-(1/34836480/((64*x)-1))))+(-(1/544320/((4*x)-1)))+(-(1/722925/(x-1))))))))
+A056205 = (None*integrate((A006107+(-((-(((1/2.9611008)*E9)/((256*x)-1)))+(-(-(1/34836480/((64*x)-1))))+(-(-(1/2073600/((16*x)-1))))+(-(1/722925/(x-1))))))))
+A056205 = (None*differential((A006107+(-((-(((1/2.9611008)*E9)/((256*x)-1)))+(-(-(1/34836480/((64*x)-1))))+(-(-(1/2073600/((16*x)-1))))+(-(1/722925/(x-1))))))))
+A056205 = (None*integrate((A006107+(-((-(((1/2.9611008)*E9)/((256*x)-1)))+(-(-(1/34836480/((64*x)-1))))+(-(-(1/2073600/((16*x)-1))))+(-(1/544320/((4*x)-1))))))))
+A056205 = (None*differential((A006107+(-((-(((1/2.9611008)*E9)/((256*x)-1)))+(-(-(1/34836480/((64*x)-1))))+(-(-(1/2073600/((16*x)-1))))+(-(1/544320/((4*x)-1))))))))
+A056205 = (None*integrate((A006110+(-((-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1)))))))
+A056205 = (None*differential((A006110+(-((-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1)))))))
+A056205 = (None*integrate((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1)))))))
+A056205 = (None*differential((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1)))))))
+A056205 = (None*integrate((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1)))))))
+A056205 = (None*differential((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1)))))))
+A339240 = ((None*(A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1))))))+(x/((-(4*x))+1)^1.5)+(1/4/((4*x)-1)^2))
+A056205 = (None*integrate((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1)))))))
+A056205 = (None*differential((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/5040/((2*x)-1)))+(1/9765/(x-1)))))))
+A339760 = ((None*(A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(1/9765/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(1/9765/(x-1)))))))
+A056205 = (None*differential((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(1/9765/(x-1)))))))
+A339751 = ((None*(A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1)))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1))))))))
+A056205 = (None*differential((A006110+(-((-(1/9999360/((32*x)-1)))+(-(-(1/322560/((16*x)-1))))+(-(-(1/32256/((8*x)-1))))+(-(1/8064/((4*x)-1)))+(-(1/5040/((2*x)-1))))))))
+A291658 = ((None*(A006111+(-((-(1/80/((5*x)-1)))+(-(1/96/(x-1)))))))+(2/((5*x)-1)))
+A056205 = (None*integrate((A006111+(-((-(1/80/((5*x)-1)))+(-(1/96/(x-1))))))))
+A056205 = (None*differential((A006111+(-((-(1/80/((5*x)-1)))+(-(1/96/(x-1))))))))
+A339487 = ((None*(A006111+(-((-(1/480/((25*x)-1)))+(-(1/96/(x-1)))))))+(-(1/210/((15*x)-1)))+(-(1/6/((3*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A006111+(-((-(1/480/((25*x)-1)))+(-(1/96/(x-1))))))))
+A056205 = (None*differential((A006111+(-((-(1/480/((25*x)-1)))+(-(1/96/(x-1))))))))
+A339751 = ((None*(A006111+(-((-(1/480/((25*x)-1)))+(-(1/80/((5*x)-1)))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006111+(-((-(1/480/((25*x)-1)))+(-(1/80/((5*x)-1))))))))
+A056205 = (None*differential((A006111+(-((-(1/480/((25*x)-1)))+(-(1/80/((5*x)-1))))))))
+A056205 = (None*integrate((A006112+(-((-(1/48000/((25*x)-1)))+(-(1/9600/((5*x)-1)))+(1/11904/(x-1)))))))
+A056205 = (None*differential((A006112+(-((-(1/48000/((25*x)-1)))+(-(1/9600/((5*x)-1)))+(1/11904/(x-1)))))))
+A056205 = (None*integrate((A006112+(-((-(1/1488000/((125*x)-1)))+(-(1/9600/((5*x)-1)))+(1/11904/(x-1)))))))
+A056205 = (None*differential((A006112+(-((-(1/1488000/((125*x)-1)))+(-(1/9600/((5*x)-1)))+(1/11904/(x-1)))))))
+A339487 = ((None*(A006112+(-((-(1/1488000/((125*x)-1)))+(-(1/48000/((25*x)-1)))+(1/11904/(x-1))))))+(-(1/210/((15*x)-1)))+(-(1/6/((3*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A006112+(-((-(1/1488000/((125*x)-1)))+(-(1/48000/((25*x)-1)))+(1/11904/(x-1)))))))
+A056205 = (None*differential((A006112+(-((-(1/1488000/((125*x)-1)))+(-(1/48000/((25*x)-1)))+(1/11904/(x-1)))))))
+A056205 = (None*integrate((A006112+(-((-(1/1488000/((125*x)-1)))+(-(1/48000/((25*x)-1)))+(-(1/9600/((5*x)-1))))))))
+A056205 = (None*differential((A006112+(-((-(1/1488000/((125*x)-1)))+(-(1/48000/((25*x)-1)))+(-(1/9600/((5*x)-1))))))))
+A056205 = (None*integrate((A006113+(-((-(-(1/744000000/((125*x)-1))))+(-(-(1/28800000/((25*x)-1))))+(-(1/5952000/((5*x)-1)))+(-(1/7428096/(x-1))))))))
+A056205 = (None*differential((A006113+(-((-(-(1/744000000/((125*x)-1))))+(-(-(1/28800000/((25*x)-1))))+(-(1/5952000/((5*x)-1)))+(-(1/7428096/(x-1))))))))
+A056205 = (None*integrate((A006113+(-((-(((1/1.16064)*E11)/((625*x)-1)))+(-(-(1/28800000/((25*x)-1))))+(-(1/5952000/((5*x)-1)))+(-(1/7428096/(x-1))))))))
+A056205 = (None*differential((A006113+(-((-(((1/1.16064)*E11)/((625*x)-1)))+(-(-(1/28800000/((25*x)-1))))+(-(1/5952000/((5*x)-1)))+(-(1/7428096/(x-1))))))))
+A056205 = (None*integrate((A006113+(-((-(((1/1.16064)*E11)/((625*x)-1)))+(-(-(1/744000000/((125*x)-1))))+(-(1/5952000/((5*x)-1)))+(-(1/7428096/(x-1))))))))
+A056205 = (None*differential((A006113+(-((-(((1/1.16064)*E11)/((625*x)-1)))+(-(-(1/744000000/((125*x)-1))))+(-(1/5952000/((5*x)-1)))+(-(1/7428096/(x-1))))))))
+A056205 = (None*integrate((A006113+(-((-(((1/1.16064)*E11)/((625*x)-1)))+(-(-(1/744000000/((125*x)-1))))+(-(-(1/28800000/((25*x)-1))))+(-(1/7428096/(x-1))))))))
+A056205 = (None*differential((A006113+(-((-(((1/1.16064)*E11)/((625*x)-1)))+(-(-(1/744000000/((125*x)-1))))+(-(-(1/28800000/((25*x)-1))))+(-(1/7428096/(x-1))))))))
+A056205 = (None*integrate((A006113+(-((-(((1/1.16064)*E11)/((625*x)-1)))+(-(-(1/744000000/((125*x)-1))))+(-(-(1/28800000/((25*x)-1))))+(-(1/5952000/((5*x)-1))))))))
+A056205 = (None*differential((A006113+(-((-(((1/1.16064)*E11)/((625*x)-1)))+(-(-(1/744000000/((125*x)-1))))+(-(-(1/28800000/((25*x)-1))))+(-(1/5952000/((5*x)-1))))))))
+A339623 = (((-(7/10))*differential((A006124+(-((-(6/(x-1)))+(-(7/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((2*(A006124+(-((-(6/(x-1)))+(-(10/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/7)*differential((A006124+(-((-(6/(x-1)))+(-(10/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((2*(A006127+(-((1/(x-1))+(1/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A006127+(-((1/(x-1))+(1/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = ((7*differential((A006127+(-((-(1/((2*x)-1)))+(1/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A265987 = ((None*A006131)+(-(1/(x-1)))+(-1))
+A056205 = (None*integrate(A006131))
+A056205 = (None*differential(A006131))
+A056205 = (None*integrate(A006131))
+A056205 = (None*differential(A006131))
+A265987 = ((None*A006131)+(-(1/(x-1)))+(-1))
+A056205 = (None*integrate(A006131))
+A056205 = (None*differential(A006131))
+A106188 = ((None*A006134)+(1/2/((x+1)*sqrt(((-(4*x))+1)))))
+A056205 = (None*integrate(A006134))
+A056205 = (None*differential(A006134))
+A175654 = ((None*A006138)+(1/((2*x)-1)))
+A056205 = (None*integrate(A006138))
+A056205 = (None*differential(A006138))
+A119976 = ((None*A006139)+(-(((1/4)*(sqrt((((-(4*x^2))-(4*x))+1))-1))/(sqrt((((-(4*x^2))-(4*x))+1))*x))))
+A056205 = (None*integrate(A006139))
+A056205 = (None*differential(A006139))
+A056205 = (None*integrate((A006148+(-((-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A338717 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A339751 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A338544 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A339751 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A328685 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(16*x^4)+(-(-(-(40*x^2))))+(-(-(-(32*x))))+(-(-(-((23*x)/(x^2+1)))))+(-(-(-(635/16/(x+1)))))+(-(-(1771/16/(x-1))))+(-(-((14*x)/(x^2+1)^2)))+(-(-(91/8/(x+1)^2)))+(-(-(297/4/(x-1)^2)))+(-(-(7/4/(x+1)^3)))+(-(28/(x-1)^3))+(-(33/2/(x-1)^4))+(-(15/(x-1)^5))+96)
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A336974 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A339623 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A333469 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A338588 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A333321 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(35/512/(x+1)))+(-(-(35/512/(x-1))))+(-(-(47/256/(x+1)^2)))+(-(67/64/(x-1)^2))+(-(91/256/(x+1)^3))+(-(559/256/(x-1)^3))+(-(7/32/(x+1)^4))+(257/128/(x-1)^4)+(57/64/(x-1)^5)+(5/32/(x-1)^6))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A331576 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(3969/131072/(x+1))+(-(-(-(-(-(3969/131072/(x-1)))))))+(-(-(-(-(-(4477/32768/(x+1)^2))))))+(-(-(-(-(-(52613/65536/(x-1)^2))))))+(-(-(-(-(2953/8192/(x+1)^3)))))+(-(-(-(-(164761/32768/(x-1)^3)))))+(-(-(-(-(19695/32768/(x+1)^4)))))+(-(-(-(-(535899/32768/(x-1)^4)))))+(-(-(-(10783/16384/(x+1)^5))))+(-(-(-(540253/16384/(x-1)^5))))+(-(-(-(361799/8192/(x-1)^6))))+(-(-(447/2048/(x+1)^7)))+(-(-(164889/4096/(x-1)^7)))+(-(-(119/2048/(x+1)^8)))+(-(-(50813/2048/(x-1)^8)))+(-(7/1024/(x+1)^9))+(-(10171/1024/(x-1)^9))+(-(1197/512/(x-1)^10))+(-(63/256/(x-1)^11)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337962 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337406 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337406 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(1/64/(x-1)^12)+(1/24/(x-1)^16)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(1/64/(x-1)^12)+(1/24/(x-1)^16))))))
+A337406 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/24/(x-1)^16)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/24/(x-1)^16))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/24/(x-1)^16))))))
+A323972 = ((None*(A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12)))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(429/(x-1)^17))+(-6))
+A056205 = (None*integrate((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12))))))
+A056205 = (None*differential((A006148+(-((((2/6561)*((122*x)+65))/(x^2+x+1))+(-(-(-(-(-(-(((3/512)*((7*x)+2))/(x^2+1))))))))+(-(-(-(-(-(-(((1/2187)*((30*x)-11))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/256)*((6*x)+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(3941/131072/(x+1))))))))+(-(-(-(-(-(-(93110405/859963392/(x-1))))))))+(-(-(-(-(-(-(((1/729)*((2*x)+9))/(x^2+x+1)^3)))))))+(-(-(-(-(-(2071/131072/(x+1)^2))))))+(-(-(-(-(-(110243987/859963392/(x-1)^2))))))+(-(-(-(-(-(((1/128)*x)/(x^2+1)^3))))))+(-(-(-(-(-(109/16384/(x+1)^3))))))+(-(-(-(-(-(((1/243)*(x+1))/(x^2+x+1)^4))))))+(-(-(-(-(-(128959/995328/(x-1)^3))))))+(-(-(-(-(73/32768/(x+1)^4)))))+(-(-(-(-(1037881/8957952/(x-1)^4)))))+(-(-(-(-(5/8192/(x+1)^5)))))+(-(-(-(-(282667/2985984/(x-1)^5)))))+(-(-(-(1/8192/(x+1)^6))))+(-(-(-(219491/2985984/(x-1)^6))))+(-(-(-(7151/124416/(x-1)^7))))+(-(-(24161/497664/(x-1)^8)))+(-(-(23/512/(x-1)^9)))+(-(21/512/(x-1)^10))+(-(1/32/(x-1)^11))+(1/64/(x-1)^12))))))
+A339623 = (((-1)*(A006185+(-((-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A006185+(-((-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006185+(-((-x^2)+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A056205 = (None*differential((A006185+(-((-x^2)+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A056205 = (None*integrate((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A056205 = (None*differential((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A338717 = ((None*(A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A056205 = (None*differential((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A339751 = ((None*(A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A056205 = (None*differential((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A338544 = ((None*(A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A056205 = (None*differential((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/2/(x-1)^2))+(-(1/3/(x-1)^3)))))))
+A339623 = (((-14)*differential((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/3/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((108*differential((A006185+(-((-x^2)+(-(-(((1/9)*((7*x)+5))/(x^2+x+1))))+(-(-(((1/3)*((3*x)-1))/((x^2-x)+1))))+(-(-(1/2/(x+1))))+(-(-(13/18/(x-1))))+(-(1/6/(x+1)^2))+(-(1/2/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006189+(-(-(((1/2)*(x-1))/((x^2-x)+1)))))))
+A056205 = (None*differential((A006189+(-(-(((1/2)*(x-1))/((x^2-x)+1)))))))
+A056205 = (None*integrate((A006189+(-(((1/2)*(x-1))/((x^2+(3*x))-1))))))
+A056205 = (None*differential((A006189+(-(((1/2)*(x-1))/((x^2+(3*x))-1))))))
+A322573 = ((None*A006190)+(-(1/6/(x+1)))+(-(1/6/(x-1))))
+A056205 = (None*integrate(A006190))
+A056205 = (None*differential(A006190))
+A322573 = ((None*(A006191+(-(((1/2)*x)/((x^2-x)+1)))))+(-(1/6/(x+1)))+(-(1/6/(x-1))))
+A056205 = (None*integrate((A006191+(-(((1/2)*x)/((x^2-x)+1))))))
+A056205 = (None*differential((A006191+(-(((1/2)*x)/((x^2-x)+1))))))
+A328881 = ((None*(A006191+(-(-(((1/2)*x)/((x^2+(3*x))-1))))))+(-(1/9/((2*x)-1)))+(5/9/(x+1)))
+A056205 = (None*integrate((A006191+(-(-(((1/2)*x)/((x^2+(3*x))-1)))))))
+A056205 = (None*differential((A006191+(-(-(((1/2)*x)/((x^2+(3*x))-1)))))))
+A056205 = (None*integrate((A006192+(-(((1/2)*(x-1))/((x^2-x)+1))))))
+A056205 = (None*differential((A006192+(-(((1/2)*(x-1))/((x^2-x)+1))))))
+A056205 = (None*integrate((A006192+(-(((1/2)*(x-1))/((x^2+(3*x))-1))))))
+A056205 = (None*differential((A006192+(-(((1/2)*(x-1))/((x^2+(3*x))-1))))))
+A339751 = ((None*(A006221+(-((5/(x-1))+(306/(x-1)^3)+(204/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006221+(-((5/(x-1))+(306/(x-1)^3)+(204/(x-1)^4))))))
+A056205 = (None*differential((A006221+(-((5/(x-1))+(306/(x-1)^3)+(204/(x-1)^4))))))
+A339623 = ((None*(A006221+(-((5/(x-1))+(112/(x-1)^2)+(204/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006221+(-((5/(x-1))+(112/(x-1)^2)+(204/(x-1)^4))))))
+A056205 = (None*differential((A006221+(-((5/(x-1))+(112/(x-1)^2)+(204/(x-1)^4))))))
+A338588 = ((None*(A006221+(-((5/(x-1))+(112/(x-1)^2)+(306/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006221+(-((5/(x-1))+(112/(x-1)^2)+(306/(x-1)^3))))))
+A056205 = (None*differential((A006221+(-((5/(x-1))+(112/(x-1)^2)+(306/(x-1)^3))))))
+A339623 = (((-(7/22))*differential((A006222+(-((-(3/(x-1)))+(-(22/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/11)*(A006222+(-((-(3/(x-1)))+(-(22/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006222+(-((-(3/(x-1)))+(-(22/(x-1)^2)))))))
+A056205 = (None*differential((A006222+(-((-(3/(x-1)))+(-(22/(x-1)^2)))))))
+A337120 = ((4*(A006230+(-((-(-(3*x^2)))+(-(-((14/3)*x)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A006230+(-((-(-(3*x^2)))+(-(-((14/3)*x)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18)))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((None*(A006230+(-((-x^3)+(-(-((14/3)*x)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A006230+(-((-x^3)+(-(-((14/3)*x)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18)))))))
+A056205 = (None*differential((A006230+(-((-x^3)+(-(-((14/3)*x)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18)))))))
+A339760 = ((None*(A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18)))))))
+A056205 = (None*differential((A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18)))))))
+A339487 = ((None*(A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-((14/3)*x)))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18))))))+(-(1/210/((15*x)-1)))+(-(1/10/((5*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-((14/3)*x)))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18)))))))
+A056205 = (None*differential((A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-((14/3)*x)))+(-(3/2/((2*x)-1)))+(-(7/(x-1)))+(-(103/18)))))))
+A339760 = (((-(1/3))*differential((A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-((14/3)*x)))+(-(-(2/9/((3*x)-1))))+(-(7/(x-1)))+(-(103/18)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A056205 = (None*integrate((A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-((14/3)*x)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1))))))))
+A056205 = (None*differential((A006230+(-((-x^3)+(-(-(3*x^2)))+(-(-((14/3)*x)))+(-(-(2/9/((3*x)-1))))+(-(3/2/((2*x)-1)))+(-(7/(x-1))))))))
+A278417 = ((None*(A006235+(-((-((6*((4*x)-1))/((x^2-(4*x))+1)^2))+(-(1/(x-1)))+(-(1/(x-1)^2))))))+(-(14*x^2))+(-(2*x))+((6*((4*x)-1))/((x^2-(4*x))+1)^2))
+A056205 = (None*integrate((A006235+(-((-((6*((4*x)-1))/((x^2-(4*x))+1)^2))+(-(1/(x-1)))+(-(1/(x-1)^2)))))))
+A056205 = (None*differential((A006235+(-((-((6*((4*x)-1))/((x^2-(4*x))+1)^2))+(-(1/(x-1)))+(-(1/(x-1)^2)))))))
+A278417 = ((None*(A006235+(-(((2*(x+3))/((x^2-(4*x))+1))+(-(1/(x-1)))+(-(1/(x-1)^2))))))+(-(14*x^2))+(-(2*x))+((2*(x+3))/((x^2-(4*x))+1)))
+A056205 = (None*integrate((A006235+(-(((2*(x+3))/((x^2-(4*x))+1))+(-(1/(x-1)))+(-(1/(x-1)^2)))))))
+A056205 = (None*differential((A006235+(-(((2*(x+3))/((x^2-(4*x))+1))+(-(1/(x-1)))+(-(1/(x-1)^2)))))))
+A339623 = (((-7)*differential((A006235+(-(((2*(x+3))/((x^2-(4*x))+1))+(-((6*((4*x)-1))/((x^2-(4*x))+1)^2))+(-(1/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate(A006238))
+A056205 = (None*differential(A006238))
+A056205 = (None*integrate((A006239+(-((-(1/3/((7*x)-1)))+(-(1/3/(x-1))))))))
+A056205 = (None*differential((A006239+(-((-(1/3/((7*x)-1)))+(-(1/3/(x-1))))))))
+A338153 = ((None*(A006239+(-((((1/3)*((5*x)-2))/(((7*x^2)-(5*x))+1))+(-(1/3/(x-1)))))))+(-(14*x^2))+(-(2/((4*x)-1)))+(-(2/((2*x)-1)))+(-(5/(x-1)))+(-2))
+A056205 = (None*integrate((A006239+(-((((1/3)*((5*x)-2))/(((7*x^2)-(5*x))+1))+(-(1/3/(x-1))))))))
+A056205 = (None*differential((A006239+(-((((1/3)*((5*x)-2))/(((7*x^2)-(5*x))+1))+(-(1/3/(x-1))))))))
+A056205 = (None*integrate((A006240+(-((-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(-(1/4/((15*x)-1))))+(-(1/4/((5*x)-1)))+(-(1/4/((3*x)-1)))+(1/4/(x-1)))))))
+A056205 = (None*differential((A006240+(-((-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(-(1/4/((15*x)-1))))+(-(1/4/((5*x)-1)))+(-(1/4/((3*x)-1)))+(1/4/(x-1)))))))
+A056205 = (None*integrate((A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(1/4/((15*x)-1))))+(-(1/4/((5*x)-1)))+(-(1/4/((3*x)-1)))+(1/4/(x-1)))))))
+A056205 = (None*differential((A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(1/4/((15*x)-1))))+(-(1/4/((5*x)-1)))+(-(1/4/((3*x)-1)))+(1/4/(x-1)))))))
+A339487 = ((None*(A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(1/4/((5*x)-1)))+(-(1/4/((3*x)-1)))+(1/4/(x-1))))))+(-(1/10/((5*x)-1)))+(-(1/6/((3*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(1/4/((5*x)-1)))+(-(1/4/((3*x)-1)))+(1/4/(x-1)))))))
+A056205 = (None*differential((A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(1/4/((5*x)-1)))+(-(1/4/((3*x)-1)))+(1/4/(x-1)))))))
+A339487 = ((None*(A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(-(1/4/((15*x)-1))))+(-(1/4/((3*x)-1)))+(1/4/(x-1))))))+(-(1/210/((15*x)-1)))+(-(1/6/((3*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(-(1/4/((15*x)-1))))+(-(1/4/((3*x)-1)))+(1/4/(x-1)))))))
+A056205 = (None*differential((A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(-(1/4/((15*x)-1))))+(-(1/4/((3*x)-1)))+(1/4/(x-1)))))))
+A056205 = (None*integrate((A006240+(-((((1/2)*((6*x)-1))/(((45*x^2)-(12*x))+1))+(-(-(((1/2)*((2*x)-1))/(((5*x^2)-(4*x))+1))))+(-(-(1/4/((15*x)-1))))+(-(1/4/((5*x)-1)))+(-(1/4/((3*x)-1))))))))
+A056205 = (None*integrate(A006251))
+A056205 = (None*differential(A006251))
+A056205 = (None*integrate((A006253+(-(1/3/(x+1))))))
+A056205 = (None*differential((A006253+(-(1/3/(x+1))))))
+A338717 = ((None*(A006253+(-(-(((1/3)*(x-2))/((x^2-(4*x))+1))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006253+(-(-(((1/3)*(x-2))/((x^2-(4*x))+1)))))))
+A056205 = (None*differential((A006253+(-(-(((1/3)*(x-2))/((x^2-(4*x))+1)))))))
+A339623 = (((7/3)*differential((A006261+(-((6/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/3))*(A006261+(-((3/(x-1)^2)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006261+(-((3/(x-1)^2)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^6))))))
+A056205 = (None*differential((A006261+(-((3/(x-1)^2)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^6))))))
+A338588 = (((108/7)*(A006261+(-((3/(x-1)^2)+(6/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/7)*differential((A006261+(-((3/(x-1)^2)+(6/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-9428)*(A006261+(-((3/(x-1)^2)+(6/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-108)*integrate((A006261+(-((3/(x-1)^2)+(6/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^6))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((35661/10)*differential((A006261+(-((3/(x-1)^2)+(6/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-71322)*(A006261+(-((3/(x-1)^2)+(6/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((12512*differential((A006261+(-((3/(x-1)^2)+(6/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006295+(-((((1/4)*(((9*x)-(2*sqrt(((-(4*x))+1))))+2))/((4*x)-1)^3)+(((1/16)*(((36*x)-(5*sqrt(((-(4*x))+1))))+5))/((4*x)-1)^4))))))
+A056205 = (None*differential((A006295+(-((((1/4)*(((9*x)-(2*sqrt(((-(4*x))+1))))+2))/((4*x)-1)^3)+(((1/16)*(((36*x)-(5*sqrt(((-(4*x))+1))))+5))/((4*x)-1)^4))))))
+A056205 = (None*integrate((A006295+(-((-(((3/16)*(sqrt(((-(4*x))+1))-1))/((4*x)-1)^2))+(((1/16)*(((36*x)-(5*sqrt(((-(4*x))+1))))+5))/((4*x)-1)^4))))))
+A056205 = (None*differential((A006295+(-((-(((3/16)*(sqrt(((-(4*x))+1))-1))/((4*x)-1)^2))+(((1/16)*(((36*x)-(5*sqrt(((-(4*x))+1))))+5))/((4*x)-1)^4))))))
+A056205 = (None*integrate((A006295+(-((-(((3/16)*(sqrt(((-(4*x))+1))-1))/((4*x)-1)^2))+(((1/4)*(((9*x)-(2*sqrt(((-(4*x))+1))))+2))/((4*x)-1)^3))))))
+A056205 = (None*differential((A006295+(-((-(((3/16)*(sqrt(((-(4*x))+1))-1))/((4*x)-1)^2))+(((1/4)*(((9*x)-(2*sqrt(((-(4*x))+1))))+2))/((4*x)-1)^3))))))
+A056205 = (None*integrate((A006296+(-(-((5/2)*x*(((5/((-(4*x))+1)^4.5)+(4/((-(4*x))+1)^5))-(9/((-(4*x))+1)^5.5))))))))
+A056205 = (None*differential((A006296+(-(-((5/2)*x*(((5/((-(4*x))+1)^4.5)+(4/((-(4*x))+1)^5))-(9/((-(4*x))+1)^5.5))))))))
+A056205 = (None*integrate((A006296+(-(-(4*x^2*(((1/((-(4*x))+1)^4.5)+(18/((-(4*x))+1)^5))-(19/((-(4*x))+1)^5.5))))))))
+A056205 = (None*differential((A006296+(-(-(4*x^2*(((1/((-(4*x))+1)^4.5)+(18/((-(4*x))+1)^5))-(19/((-(4*x))+1)^5.5))))))))
+A056205 = (None*integrate((A006318+(-(-(1/2))))))
+A056205 = (None*differential((A006318+(-(-(1/2))))))
+A056205 = (None*integrate((A006321+(-((-(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-16))/x^2)))+(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-8))/x^3))+(-(((1/2)*(sqrt(((x^2-(6*x))+1))-1))/x^4))+(1/2))))))
+A056205 = (None*differential((A006321+(-((-(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-16))/x^2)))+(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-8))/x^3))+(-(((1/2)*(sqrt(((x^2-(6*x))+1))-1))/x^4))+(1/2))))))
+A056205 = (None*integrate((A006321+(-((((1/2)*(sqrt(((x^2-(6*x))+1))-8))/x)+(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-8))/x^3))+(-(((1/2)*(sqrt(((x^2-(6*x))+1))-1))/x^4))+(1/2))))))
+A056205 = (None*differential((A006321+(-((((1/2)*(sqrt(((x^2-(6*x))+1))-8))/x)+(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-8))/x^3))+(-(((1/2)*(sqrt(((x^2-(6*x))+1))-1))/x^4))+(1/2))))))
+A056205 = (None*integrate((A006321+(-((((1/2)*(sqrt(((x^2-(6*x))+1))-8))/x)+(-(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-16))/x^2)))+(-(((1/2)*(sqrt(((x^2-(6*x))+1))-1))/x^4))+(1/2))))))
+A056205 = (None*differential((A006321+(-((((1/2)*(sqrt(((x^2-(6*x))+1))-8))/x)+(-(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-16))/x^2)))+(-(((1/2)*(sqrt(((x^2-(6*x))+1))-1))/x^4))+(1/2))))))
+A056205 = (None*integrate((A006321+(-((((1/2)*(sqrt(((x^2-(6*x))+1))-8))/x)+(-(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-16))/x^2)))+(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-8))/x^3))+(1/2))))))
+A056205 = (None*differential((A006321+(-((((1/2)*(sqrt(((x^2-(6*x))+1))-8))/x)+(-(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-16))/x^2)))+(-(((1/2)*((5*sqrt(((x^2-(6*x))+1)))-8))/x^3))+(1/2))))))
+A339623 = (((-7)*differential((A006322+(-((-(6/(x-1)^3))+(-(10/(x-1)^4))+(-(5/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/3)*(A006322+(-((-(1/(x-1)^2))+(-(10/(x-1)^4))+(-(5/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((6*differential((A006322+(-((-(1/(x-1)^2))+(-(10/(x-1)^4))+(-(5/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(54/5))*(A006322+(-((-(1/(x-1)^2))+(-(6/(x-1)^3))+(-(5/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006322+(-((-(1/(x-1)^2))+(-(6/(x-1)^3))+(-(5/(x-1)^5)))))))
+A056205 = (None*differential((A006322+(-((-(1/(x-1)^2))+(-(6/(x-1)^3))+(-(5/(x-1)^5)))))))
+A337962 = (((37712/5)*(A006322+(-((-(1/(x-1)^2))+(-(6/(x-1)^3))+(-(10/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/25))*differential((A006322+(-((-(1/(x-1)^2))+(-(6/(x-1)^3))+(-(10/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((-7)*differential((A006323+(-((-(8/(x-1)^3))+(-(14/(x-1)^4))+(-(7/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A006323+(-((-(1/(x-1)^2))+(-(14/(x-1)^4))+(-(7/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A006323+(-((-(1/(x-1)^2))+(-(14/(x-1)^4))+(-(7/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((None*(A006323+(-((-(1/(x-1)^2))+(-(8/(x-1)^3))+(-(7/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006323+(-((-(1/(x-1)^2))+(-(8/(x-1)^3))+(-(7/(x-1)^5)))))))
+A056205 = (None*differential((A006323+(-((-(1/(x-1)^2))+(-(8/(x-1)^3))+(-(7/(x-1)^5)))))))
+A337962 = ((None*(A006323+(-((-(1/(x-1)^2))+(-(8/(x-1)^3))+(-(14/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006323+(-((-(1/(x-1)^2))+(-(8/(x-1)^3))+(-(14/(x-1)^4)))))))
+A056205 = (None*differential((A006323+(-((-(1/(x-1)^2))+(-(8/(x-1)^3))+(-(14/(x-1)^4)))))))
+A339623 = (((-(7/6))*differential((A006325+(-((-(1/(x-1)))+(-(13/(x-1)^3))+(-(12/(x-1)^4))+(-(4/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(12/(x-1)^4))+(-(4/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(12/(x-1)^4))+(-(4/(x-1)^5)))))))
+A056205 = (None*differential((A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(12/(x-1)^4))+(-(4/(x-1)^5)))))))
+A338588 = (((-9)*(A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(13/(x-1)^3))+(-(4/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((-(7/2))*integrate((A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(13/(x-1)^3))+(-(4/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((-(2357/3))*differential((A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(13/(x-1)^3))+(-(4/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((9428*(A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(13/(x-1)^3))+(-(12/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(13/(x-1)^3))+(-(12/(x-1)^4)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A006325+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(13/(x-1)^3))+(-(12/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337120 = (((-4)*(A006327+(-((-(2*x^2))+(-(2*x))+(-(x/((x^2+x)-1)))+(3/(x-1))+3))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A006327+(-((-(2*x^2))+(-(2*x))+(-(x/((x^2+x)-1)))+(3/(x-1))+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = (((-0.5)*(A006327+(-(x^3+(-(2*x))+(-(x/((x^2+x)-1)))+(3/(x-1))+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A006327+(-(x^3+(-(2*x))+(-(x/((x^2+x)-1)))+(3/(x-1))+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.5)*(A006327+(-(x^3+(-(2*x^2))+(-(x/((x^2+x)-1)))+(3/(x-1))+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*integrate((A006327+(-(x^3+(-(2*x^2))+(-(x/((x^2+x)-1)))+(3/(x-1))+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = ((1*differential((A006327+(-(x^3+(-(2*x^2))+(-(x/((x^2+x)-1)))+(3/(x-1))+3)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A338192 = ((1*(A006327+(-(x^3+(-(2*x^2))+(-(2*x))+(3/(x-1))+3))))+(-(x^2/((x^3+x^2+x)-1))))
+A339198 = (((-1)*(A006327+(-(x^3+(-(2*x^2))+(-(2*x))+(-(x/((x^2+x)-1)))+(3/(x-1))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A006327+(-(x^3+(-(2*x^2))+(-(2*x))+(-(x/((x^2+x)-1)))+(3/(x-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A211575 = ((None*(A006328+(-((-((4*(x+2))/((x^2+x)-1)))+(-(6/(x-1)))+(-1)))))+(-(-(((12*x)+5)/((6*x^2)-1))))+(-((3*((4*x)+3))/((2*x^2)-1)))+(-((4*(x+2))/((x^2+x)-1)))+(-(10/((2*x)-1)))+(20/(x-1)))
+A056205 = (None*integrate((A006328+(-((-((4*(x+2))/((x^2+x)-1)))+(-(6/(x-1)))+(-1))))))
+A056205 = (None*differential((A006328+(-((-((4*(x+2))/((x^2+x)-1)))+(-(6/(x-1)))+(-1))))))
+A316528 = ((None*(A006328+(-((-((x^2-3)/((x^3-x^2-(2*x))+1)))+(-(6/(x-1)))+(-1)))))+(-(5/((2*x)-1))))
+A056205 = (None*integrate((A006328+(-((-((x^2-3)/((x^3-x^2-(2*x))+1)))+(-(6/(x-1)))+(-1))))))
+A056205 = (None*differential((A006328+(-((-((x^2-3)/((x^3-x^2-(2*x))+1)))+(-(6/(x-1)))+(-1))))))
+A339760 = ((1*(A006328+(-((-((x^2-3)/((x^3-x^2-(2*x))+1)))+(-((4*(x+2))/((x^2+x)-1)))+(-(6/(x-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A006328+(-((-((x^2-3)/((x^3-x^2-(2*x))+1)))+(-((4*(x+2))/((x^2+x)-1)))+(-(6/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((7/2)*differential((A006331+(-((6/(x-1)^3)+(4/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/3))*(A006331+(-((2/(x-1)^2)+(4/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006331+(-((2/(x-1)^2)+(4/(x-1)^4))))))
+A056205 = (None*differential((A006331+(-((2/(x-1)^2)+(4/(x-1)^4))))))
+A338588 = ((27*(A006331+(-((2/(x-1)^2)+(6/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((2357*differential((A006331+(-((2/(x-1)^2)+(6/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-54)*(A006332+(-((-(20/(x-1)^5))+(-(48/(x-1)^6))+(-(32/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-4714)*differential((A006332+(-((-(20/(x-1)^5))+(-(48/(x-1)^6))+(-(32/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((9428/5)*(A006332+(-((-(2/(x-1)^4))+(-(48/(x-1)^6))+(-(32/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006332+(-((-(2/(x-1)^4))+(-(48/(x-1)^6))+(-(32/(x-1)^7)))))))
+A056205 = (None*differential((A006332+(-((-(2/(x-1)^4))+(-(48/(x-1)^6))+(-(32/(x-1)^7)))))))
+A337962 = ((None*(A006332+(-((-(2/(x-1)^4))+(-(20/(x-1)^5))+(-(32/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006332+(-((-(2/(x-1)^4))+(-(20/(x-1)^5))+(-(32/(x-1)^7)))))))
+A056205 = (None*differential((A006332+(-((-(2/(x-1)^4))+(-(20/(x-1)^5))+(-(32/(x-1)^7)))))))
+A337962 = ((2346*(A006332+(-((-(2/(x-1)^4))+(-(20/(x-1)^5))+(-(48/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006332+(-((-(2/(x-1)^4))+(-(20/(x-1)^5))+(-(48/(x-1)^6)))))))
+A056205 = (None*differential((A006332+(-((-(2/(x-1)^4))+(-(20/(x-1)^5))+(-(48/(x-1)^6)))))))
+A337962 = ((None*(A006333+(-((50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006333+(-((50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10))))))
+A056205 = (None*differential((A006333+(-((50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10))))))
+A337962 = ((None*(A006333+(-((2/(x-1)^5)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006333+(-((2/(x-1)^5)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10))))))
+A056205 = (None*differential((A006333+(-((2/(x-1)^5)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10))))))
+A337962 = ((None*(A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10))))))
+A056205 = (None*differential((A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(860/(x-1)^8)+(960/(x-1)^9)+(384/(x-1)^10))))))
+A337962 = ((None*(A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(960/(x-1)^9)+(384/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(960/(x-1)^9)+(384/(x-1)^10))))))
+A056205 = (None*differential((A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(960/(x-1)^9)+(384/(x-1)^10))))))
+A337962 = (((-(309/32))*(A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(384/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(384/(x-1)^10))))))
+A056205 = (None*differential((A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(384/(x-1)^10))))))
+A337406 = ((None*(A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9))))))
+A056205 = (None*differential((A006333+(-((2/(x-1)^5)+(50/(x-1)^6)+(330/(x-1)^7)+(860/(x-1)^8)+(960/(x-1)^9))))))
+A337962 = ((18856*(A006334+(-((-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(35661/5))*differential((A006334+(-((-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((35661/50)*(A006334+(-((-(2/(x-1)^5))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006334+(-((-(2/(x-1)^5))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A056205 = (None*differential((A006334+(-((-(2/(x-1)^5))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A337962 = ((None*(A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A056205 = (None*differential((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A337962 = ((None*(A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A056205 = (None*differential((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A337962 = ((None*(A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A056205 = (None*differential((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A337406 = ((None*(A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A056205 = (None*differential((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A337406 = ((None*(A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A056205 = (None*differential((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(25344/(x-1)^12))+(-(5632/(x-1)^13)))))))
+A337406 = ((None*(A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(5632/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(5632/(x-1)^13)))))))
+A056205 = (None*differential((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(5632/(x-1)^13)))))))
+A337406 = ((None*(A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A056205 = (None*integrate((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12)))))))
+A056205 = (None*differential((A006334+(-((-(2/(x-1)^5))+(-(100/(x-1)^6))+(-(1372/(x-1)^7))+(-(8246/(x-1)^8))+(-(26012/(x-1)^9))+(-(46368/(x-1)^10))+(-(47040/(x-1)^11))+(-(25344/(x-1)^12)))))))
+A339487 = ((None*(A006342+(-((-(3/8/(x+1)))+(-(1/4/(x-1)))))))+(-(1/210/((15*x)-1)))+(-(1/10/((5*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A006342+(-((-(3/8/(x+1)))+(-(1/4/(x-1))))))))
+A056205 = (None*differential((A006342+(-((-(3/8/(x+1)))+(-(1/4/(x-1))))))))
+A336030 = ((None*(A006355+(-(-1))))+(-((x^3+x^2)/((x^4+x^2)-1))))
+A056205 = (None*integrate((A006355+(-(-1)))))
+A056205 = (None*differential((A006355+(-(-1)))))
+A339760 = ((1*(A006355+(-((2*(x-1))/((x^2+x)-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A006355+(-((2*(x-1))/((x^2+x)-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate(A006356))
+A056205 = (None*differential(A006356))
+A056205 = (None*integrate((A006357+(-(-(1/3/(x+1)))))))
+A056205 = (None*differential((A006357+(-(-(1/3/(x+1)))))))
+A056205 = (None*integrate(A006359))
+A056205 = (None*differential(A006359))
+A337962 = ((71322*(A006360+(-((-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A006360+(-((-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((None*(A006360+(-((-(1/(x-1)^6))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006360+(-((-(1/(x-1)^6))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A056205 = (None*differential((A006360+(-((-(1/(x-1)^6))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A337962 = ((None*(A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A056205 = (None*differential((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A337962 = ((None*(A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A056205 = (None*differential((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A337406 = ((None*(A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A056205 = (None*differential((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A337406 = ((None*(A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A056205 = (None*differential((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(8582/(x-1)^12))+(-(2452/(x-1)^13)))))))
+A337406 = ((None*(A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(2452/(x-1)^13))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(2452/(x-1)^13)))))))
+A056205 = (None*differential((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(2452/(x-1)^13)))))))
+A337406 = ((None*(A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A056205 = (None*integrate((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12)))))))
+A056205 = (None*differential((A006360+(-((-(1/(x-1)^6))+(-(44/(x-1)^7))+(-(558/(x-1)^8))+(-(3038/(x-1)^9))+(-(8290/(x-1)^10))+(-(11898/(x-1)^11))+(-(8582/(x-1)^12)))))))
+A337962 = ((75072*(A006361+(-((-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(41310/7))*differential((A006361+(-((-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A337962 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A337406 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A337406 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A337406 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A337406 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12)))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A323972 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A323972 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(919790/(x-1)^16))+(-(183958/(x-1)^17)))))))
+A323972 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(183958/(x-1)^17))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(429/(x-1)^17))+(-6))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(183958/(x-1)^17)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(183958/(x-1)^17)))))))
+A323972 = ((None*(A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16))))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(2772/(x-1)^15))+(-(1716/(x-1)^16))+(-6))
+A056205 = (None*integrate((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16)))))))
+A056205 = (None*differential((A006361+(-((-(1/(x-1)^7))+(-(98/(x-1)^8))+(-(2678/(x-1)^9))+(-(31828/(x-1)^10))+(-(199884/(x-1)^11))+(-(733162/(x-1)^12))+(-(1650258/(x-1)^13))+(-(2308780/(x-1)^14))+(-(1956880/(x-1)^15))+(-(919790/(x-1)^16)))))))
+A338192 = (((-x)*(A006367+(-(-(((3*x)-2)/((x^2+x)-1)^2)))))+(-(x^2/((x^3+x^2+x)-1))))
+A213589 = ((1*differential((A006367+(-(-(((3*x)-2)/((x^2+x)-1)^2))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
+A335714 = ((None*(A006367+(-(1/((x^2+x)-1)))))+((x-1)/((x^2+x)-1))+(-(1/((2*x)-1))))
+A056205 = (None*integrate((A006367+(-(1/((x^2+x)-1))))))
+A056205 = (None*differential((A006367+(-(1/((x^2+x)-1))))))
+A338200 = ((None*(A006368+(-((-(3/8/(x+1)))+(9/8/(x-1))+(3/8/(x+1)^2)+(9/8/(x-1)^2)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A006368+(-((-(3/8/(x+1)))+(9/8/(x-1))+(3/8/(x+1)^2)+(9/8/(x-1)^2))))))
+A056205 = (None*differential((A006368+(-((-(3/8/(x+1)))+(9/8/(x-1))+(3/8/(x+1)^2)+(9/8/(x-1)^2))))))
+A339751 = ((None*(A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(3/8/(x+1)^2)+(9/8/(x-1)^2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(3/8/(x+1)^2)+(9/8/(x-1)^2))))))
+A056205 = (None*differential((A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(3/8/(x+1)^2)+(9/8/(x-1)^2))))))
+A338544 = ((None*(A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(9/8/(x-1))+(9/8/(x-1)^2)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(9/8/(x-1))+(9/8/(x-1)^2))))))
+A056205 = (None*differential((A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(9/8/(x-1))+(9/8/(x-1)^2))))))
+A339751 = ((None*(A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(9/8/(x-1))+(3/8/(x+1)^2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(9/8/(x-1))+(3/8/(x+1)^2))))))
+A056205 = (None*differential((A006368+(-((((1/4)*x)/(x^2+1))+(-(3/8/(x+1)))+(9/8/(x-1))+(3/8/(x+1)^2))))))
+A056205 = (None*integrate((A006369+(-((-(((2/3)*(x+1))/(x^2+x+1)^2))+(10/9/(x-1))+(10/9/(x-1)^2))))))
+A056205 = (None*differential((A006369+(-((-(((2/3)*(x+1))/(x^2+x+1)^2))+(10/9/(x-1))+(10/9/(x-1)^2))))))
+A056205 = (None*integrate((A006369+(-((-(((1/9)*(x-6))/(x^2+x+1)))+(10/9/(x-1))+(10/9/(x-1)^2))))))
+A056205 = (None*differential((A006369+(-((-(((1/9)*(x-6))/(x^2+x+1)))+(10/9/(x-1))+(10/9/(x-1)^2))))))
+A339751 = ((None*(A006369+(-((-(((1/9)*(x-6))/(x^2+x+1)))+(-(((2/3)*(x+1))/(x^2+x+1)^2))+(10/9/(x-1)^2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006369+(-((-(((1/9)*(x-6))/(x^2+x+1)))+(-(((2/3)*(x+1))/(x^2+x+1)^2))+(10/9/(x-1)^2))))))
+A056205 = (None*differential((A006369+(-((-(((1/9)*(x-6))/(x^2+x+1)))+(-(((2/3)*(x+1))/(x^2+x+1)^2))+(10/9/(x-1)^2))))))
+A339751 = ((None*(A006369+(-((-(((1/9)*(x-6))/(x^2+x+1)))+(-(((2/3)*(x+1))/(x^2+x+1)^2))+(10/9/(x-1))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006369+(-((-(((1/9)*(x-6))/(x^2+x+1)))+(-(((2/3)*(x+1))/(x^2+x+1)^2))+(10/9/(x-1)))))))
+A056205 = (None*differential((A006369+(-((-(((1/9)*(x-6))/(x^2+x+1)))+(-(((2/3)*(x+1))/(x^2+x+1)^2))+(10/9/(x-1)))))))
+A338717 = ((None*(A006370+(-((-(5/4/(x-1)))+(-(5/4/(x+1)^2))+(7/4/(x-1)^2)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006370+(-((-(5/4/(x-1)))+(-(5/4/(x+1)^2))+(7/4/(x-1)^2))))))
+A056205 = (None*differential((A006370+(-((-(5/4/(x-1)))+(-(5/4/(x+1)^2))+(7/4/(x-1)^2))))))
+A339751 = ((None*(A006370+(-((3/4/(x+1))+(-(5/4/(x+1)^2))+(7/4/(x-1)^2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006370+(-((3/4/(x+1))+(-(5/4/(x+1)^2))+(7/4/(x-1)^2))))))
+A056205 = (None*differential((A006370+(-((3/4/(x+1))+(-(5/4/(x+1)^2))+(7/4/(x-1)^2))))))
+A339623 = ((14*(A006408+(-((-(15/(x-1)^4))+(-(43/(x-1)^5))+(-(45/(x-1)^6))+(-(16/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A006408+(-((-(15/(x-1)^4))+(-(43/(x-1)^5))+(-(45/(x-1)^6))+(-(16/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(36/5))*(A006408+(-((-(1/(x-1)^3))+(-(43/(x-1)^5))+(-(45/(x-1)^6))+(-(16/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006408+(-((-(1/(x-1)^3))+(-(43/(x-1)^5))+(-(45/(x-1)^6))+(-(16/(x-1)^7)))))))
+A056205 = (None*differential((A006408+(-((-(1/(x-1)^3))+(-(43/(x-1)^5))+(-(45/(x-1)^6))+(-(16/(x-1)^7)))))))
+A337962 = ((None*(A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(45/(x-1)^6))+(-(16/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(45/(x-1)^6))+(-(16/(x-1)^7)))))))
+A056205 = (None*differential((A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(45/(x-1)^6))+(-(16/(x-1)^7)))))))
+A337962 = ((None*(A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(43/(x-1)^5))+(-(16/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(43/(x-1)^5))+(-(16/(x-1)^7)))))))
+A056205 = (None*differential((A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(43/(x-1)^5))+(-(16/(x-1)^7)))))))
+A337962 = ((None*(A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(43/(x-1)^5))+(-(45/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(43/(x-1)^5))+(-(45/(x-1)^6)))))))
+A056205 = (None*differential((A006408+(-((-(1/(x-1)^3))+(-(15/(x-1)^4))+(-(43/(x-1)^5))+(-(45/(x-1)^6)))))))
+A338588 = ((54*(A006411+(-((7/(x-1)^5)+(5/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*differential((A006411+(-((7/(x-1)^5)+(5/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/7))*(A006411+(-((2/(x-1)^4)+(5/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006411+(-((2/(x-1)^4)+(5/(x-1)^6))))))
+A056205 = (None*differential((A006411+(-((2/(x-1)^4)+(5/(x-1)^6))))))
+A337962 = (((-(71322/5))*(A006411+(-((2/(x-1)^4)+(7/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006411+(-((2/(x-1)^4)+(7/(x-1)^5))))))
+A056205 = (None*differential((A006411+(-((2/(x-1)^4)+(7/(x-1)^5))))))
+A338588 = ((108*(A006414+(-((5/(x-1)^5)+(5/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A006414+(-((5/(x-1)^5)+(5/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/5))*(A006414+(-((1/(x-1)^4)+(5/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/25)*differential((A006414+(-((1/(x-1)^4)+(5/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*(A006414+(-((1/(x-1)^4)+(5/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006414+(-((1/(x-1)^4)+(5/(x-1)^5))))))
+A056205 = (None*differential((A006414+(-((1/(x-1)^4)+(5/(x-1)^5))))))
+A339760 = ((0.5*(A006416+(-((-(3/(x-1)^2))+(1/(x-1)^4)+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A006416+(-((-(3/(x-1)^2))+(1/(x-1)^4)+2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A006416+(-((-(3/(x-1)^2))+(1/(x-1)^4)+2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339623 = (((-(7/3))*differential((A006416+(-((2*x)+(1/(x-1)^4)+2)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((108*(A006416+(-((2*x)+(-(3/(x-1)^2))+2))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A006416+(-((2*x)+(-(3/(x-1)^2))+2)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339610 = (((-1)*(A006416+(-((2*x)+(-(3/(x-1)^2))+(1/(x-1)^4)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A006416+(-((2*x)+(-(3/(x-1)^2))+(1/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.2)*(A006417+(-((-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006417+(-((-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))
+A056205 = (None*differential((A006417+(-((-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))
+A339751 = ((None*(A006417+(-((-(5*x))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006417+(-((-(5*x))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))
+A056205 = (None*differential((A006417+(-((-(5*x))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))
+A339623 = (((7/2)*differential((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))
+A056205 = (None*differential((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))
+A338588 = (((-27)*(A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-2357)*differential((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((9428/3)*(A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))
+A056205 = (None*differential((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(1/(x-1)^6))+(-(4/(x-1)^7))+(-6))))))
+A337962 = ((71322*(A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(4/(x-1)^7))+(-6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(4/(x-1)^7))+(-6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18768*(A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/14))*differential((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A333469 = ((1*(A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(1/8/(x+1)^4))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5)))
+A339760 = (((-0.1666666666666667)*integrate((A006417+(-((-(5*x))+(-(-(-(2/(x-1)))))+(-(-(2/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(4/(x-1)^4))+(-(12/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((None*(A006418+(-((-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006418+(-((-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A339751 = ((None*(A006418+(-((14*x)+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A339751 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A339623 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A338588 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A337962 = (((4714/5)*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A337962 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A337962 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A337962 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(12/(x-1)^9)+(24/(x-1)^10)+20))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(12/(x-1)^9)+(24/(x-1)^10)+20)))))
+A337962 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(24/(x-1)^10)+20))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(24/(x-1)^10)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(24/(x-1)^10)+20)))))
+A337406 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+20))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+20)))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+20)))))
+A304835 = ((None*(A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10)))))+(-(232/(x-1)))+(-(428/(x-1)^2))+(-(216/(x-1)^3)))
+A056205 = (None*integrate((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10))))))
+A056205 = (None*differential((A006418+(-((14*x)+(-(-(-(10/(x-1)))))+(-(-(-(9/(x-1)^2))))+(-(-(8/(x-1)^3)))+(-(-(6/(x-1)^4)))+(-(40/(x-1)^5))+(-(74/(x-1)^6))+(-(50/(x-1)^7))+(-(83/(x-1)^8))+(12/(x-1)^9)+(24/(x-1)^10))))))
+A339623 = (((-7)*(A006422+(-((-(13/(x-1)^4))+(-(8/(x-1)^5))+(-(19/(x-1)^6))+(-(16/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A006422+(-((-(13/(x-1)^4))+(-(8/(x-1)^5))+(-(19/(x-1)^6))+(-(16/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((None*(A006422+(-((2/(x-1)^3)+(-(8/(x-1)^5))+(-(19/(x-1)^6))+(-(16/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006422+(-((2/(x-1)^3)+(-(8/(x-1)^5))+(-(19/(x-1)^6))+(-(16/(x-1)^7)))))))
+A056205 = (None*differential((A006422+(-((2/(x-1)^3)+(-(8/(x-1)^5))+(-(19/(x-1)^6))+(-(16/(x-1)^7)))))))
+A337962 = ((4714*(A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(19/(x-1)^6))+(-(16/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((54*integrate((A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(19/(x-1)^6))+(-(16/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/20))*differential((A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(19/(x-1)^6))+(-(16/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((None*(A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(8/(x-1)^5))+(-(16/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(8/(x-1)^5))+(-(16/(x-1)^7)))))))
+A056205 = (None*differential((A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(8/(x-1)^5))+(-(16/(x-1)^7)))))))
+A337962 = ((None*(A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(8/(x-1)^5))+(-(19/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(8/(x-1)^5))+(-(19/(x-1)^6)))))))
+A056205 = (None*differential((A006422+(-((2/(x-1)^3)+(-(13/(x-1)^4))+(-(8/(x-1)^5))+(-(19/(x-1)^6)))))))
+A335155 = ((None*(A006431+(-((-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A006431+(-((-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A335155 = ((None*(A006431+(-((9*x^12)+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A335365 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A335365 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A335365 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A335365 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A338024 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A338024 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A338024 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A337120 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A339623 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A339760 = ((None*(A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1)))+(-(7/128)))))))
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(7/128)))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(7/128)))))))
+A056205 = (None*integrate((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1))))))))
+A056205 = (None*differential((A006431+(-((9*x^12)+(-(7*x^11))+(-(8*x^10))+(-((15/2)*x^9))+(-(6*x^8))+(-((11/2)*x^7))+(-((41/8)*x^6))+(-((9/2)*x^5))+(-((21/8)*x^4))+(-((57/32)*x^3))+(-((7/8)*x^2))+(-((3/32)*x))+(-(((1/128)*((16*x^2)+(12*x)+7))/((4*x^3)-1))))))))
+A339623 = (((-7)*(A006434+(-((30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-18)*differential((A006434+(-((30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((18/5)*(A006434+(-((2/(x-1)^3)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006434+(-((2/(x-1)^3)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A056205 = (None*differential((A006434+(-((2/(x-1)^3)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A337962 = ((None*(A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A056205 = (None*differential((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A337962 = ((None*(A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A056205 = (None*differential((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A337962 = ((None*(A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A056205 = (None*differential((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(996/(x-1)^8)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A337962 = ((None*(A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(950/(x-1)^9)+(330/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A056205 = (None*differential((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(950/(x-1)^9)+(330/(x-1)^10))))))
+A337962 = ((None*(A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(330/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(330/(x-1)^10))))))
+A056205 = (None*differential((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(330/(x-1)^10))))))
+A337406 = ((None*(A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9))))))
+A056205 = (None*differential((A006434+(-((2/(x-1)^3)+(30/(x-1)^4)+(112/(x-1)^5)+(224/(x-1)^6)+(516/(x-1)^7)+(996/(x-1)^8)+(950/(x-1)^9))))))
+A056205 = (None*integrate(A006442))
+A056205 = (None*differential(A006442))
+A056205 = (None*integrate((A006451+(-((-(((1/2)*(x+2))/((x^2+(2*x))-1)))+(1/2/(x-1)))))))
+A056205 = (None*differential((A006451+(-((-(((1/2)*(x+2))/((x^2+(2*x))-1)))+(1/2/(x-1)))))))
+A056205 = (None*integrate((A006451+(-((((1/2)*((2*x)+1))/(x^2-(2*x)-1))+(1/2/(x-1)))))))
+A056205 = (None*differential((A006451+(-((((1/2)*((2*x)+1))/(x^2-(2*x)-1))+(1/2/(x-1)))))))
+A056205 = (None*integrate((A006452+(-(-(((1/4)*(x+1))/((x^2+(2*x))-1)))))))
+A056205 = (None*differential((A006452+(-(-(((1/4)*(x+1))/((x^2+(2*x))-1)))))))
+A056205 = (None*integrate((A006452+(-(-(((1/4)*((7*x)+3))/(x^2-(2*x)-1)))))))
+A056205 = (None*differential((A006452+(-(-(((1/4)*((7*x)+3))/(x^2-(2*x)-1)))))))
+A056205 = (None*integrate((A006454+(-((-(((5/8)*(x-1))/((x^2-(6*x))+1)))+(9/16/(x-1)))))))
+A056205 = (None*differential((A006454+(-((-(((5/8)*(x-1))/((x^2-(6*x))+1)))+(9/16/(x-1)))))))
+A056205 = (None*integrate((A006454+(-((((1/16)*(x-1))/(x^2+(6*x)+1))+(9/16/(x-1)))))))
+A056205 = (None*differential((A006454+(-((((1/16)*(x-1))/(x^2+(6*x)+1))+(9/16/(x-1)))))))
+A339751 = ((None*(A006454+(-((((1/16)*(x-1))/(x^2+(6*x)+1))+(-(((5/8)*(x-1))/((x^2-(6*x))+1)))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006454+(-((((1/16)*(x-1))/(x^2+(6*x)+1))+(-(((5/8)*(x-1))/((x^2-(6*x))+1))))))))
+A056205 = (None*differential((A006454+(-((((1/16)*(x-1))/(x^2+(6*x)+1))+(-(((5/8)*(x-1))/((x^2-(6*x))+1))))))))
+A056205 = (None*integrate((A006458+(-((-(111/19/((3*x)-1)))+(-(8/3/(x-1)))+(2/(x-1)^2))))))
+A056205 = (None*differential((A006458+(-((-(111/19/((3*x)-1)))+(-(8/3/(x-1)))+(2/(x-1)^2))))))
+A339487 = ((None*(A006458+(-((((2/57)*((320*x^2)+(490*x)+271))/(((2*x^3)+(2*x^2))-1))+(-(8/3/(x-1)))+(2/(x-1)^2)))))+(-(1/210/((15*x)-1)))+(-(1/10/((5*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A006458+(-((((2/57)*((320*x^2)+(490*x)+271))/(((2*x^3)+(2*x^2))-1))+(-(8/3/(x-1)))+(2/(x-1)^2))))))
+A056205 = (None*differential((A006458+(-((((2/57)*((320*x^2)+(490*x)+271))/(((2*x^3)+(2*x^2))-1))+(-(8/3/(x-1)))+(2/(x-1)^2))))))
+A339751 = ((None*(A006458+(-((((2/57)*((320*x^2)+(490*x)+271))/(((2*x^3)+(2*x^2))-1))+(-(111/19/((3*x)-1)))+(2/(x-1)^2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006458+(-((((2/57)*((320*x^2)+(490*x)+271))/(((2*x^3)+(2*x^2))-1))+(-(111/19/((3*x)-1)))+(2/(x-1)^2))))))
+A056205 = (None*differential((A006458+(-((((2/57)*((320*x^2)+(490*x)+271))/(((2*x^3)+(2*x^2))-1))+(-(111/19/((3*x)-1)))+(2/(x-1)^2))))))
+A339623 = (((7/2)*differential((A006458+(-((((2/57)*((320*x^2)+(490*x)+271))/(((2*x^3)+(2*x^2))-1))+(-(111/19/((3*x)-1)))+(-(8/3/(x-1))))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006463+(-((psi(x)-1)/(x-1)^2)))))
+A056205 = (None*differential((A006463+(-((psi(x)-1)/(x-1)^2)))))
+A056205 = (None*integrate((A006463+(-((psi(x)-1)/(x-1))))))
+A056205 = (None*differential((A006463+(-((psi(x)-1)/(x-1))))))
+A339623 = ((14*(A006468+(-((-(4/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A006468+(-((-(4/(x-1)^5))+(-(1/(x-1)^6))+(-(4/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*(A006468+(-((-(1/(x-1)^3))+(-(1/(x-1)^6))+(-(4/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A006468+(-((-(1/(x-1)^3))+(-(1/(x-1)^6))+(-(4/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A006468+(-((-(1/(x-1)^3))+(-(1/(x-1)^6))+(-(4/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((71322*(A006468+(-((-(1/(x-1)^3))+(-(4/(x-1)^5))+(-(4/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A006468+(-((-(1/(x-1)^3))+(-(4/(x-1)^5))+(-(4/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18768*(A006468+(-((-(1/(x-1)^3))+(-(4/(x-1)^5))+(-(1/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/14))*differential((A006468+(-((-(1/(x-1)^3))+(-(4/(x-1)^5))+(-(1/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A338588 = ((36*(A006469+(-((-(19/(x-1)^6))+(-(16/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A006469+(-((-(19/(x-1)^6))+(-(16/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A006469+(-((-(19/(x-1)^6))+(-(16/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((None*(A006469+(-((3/(x-1)^4)+(-(16/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006469+(-((3/(x-1)^4)+(-(16/(x-1)^7)))))))
+A056205 = (None*differential((A006469+(-((3/(x-1)^4)+(-(16/(x-1)^7)))))))
+A337962 = ((None*(A006469+(-((3/(x-1)^4)+(-(19/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006469+(-((3/(x-1)^4)+(-(19/(x-1)^6)))))))
+A056205 = (None*differential((A006469+(-((3/(x-1)^4)+(-(19/(x-1)^6)))))))
+A338588 = ((36*(A006470+(-((8/(x-1)^5)+(5/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((14*integrate((A006470+(-((8/(x-1)^5)+(5/(x-1)^6))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/3)*differential((A006470+(-((8/(x-1)^5)+(5/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-4714)*(A006470+(-((3/(x-1)^4)+(5/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006470+(-((3/(x-1)^4)+(5/(x-1)^6))))))
+A056205 = (None*differential((A006470+(-((3/(x-1)^4)+(5/(x-1)^6))))))
+A337962 = (((-(71322/5))*(A006470+(-((3/(x-1)^4)+(8/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006470+(-((3/(x-1)^4)+(8/(x-1)^5))))))
+A056205 = (None*differential((A006470+(-((3/(x-1)^4)+(8/(x-1)^5))))))
+A337962 = ((None*(A006471+(-((51/(x-1)^7)+(163/(x-1)^8)+(194/(x-1)^9)+(78/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006471+(-((51/(x-1)^7)+(163/(x-1)^8)+(194/(x-1)^9)+(78/(x-1)^10))))))
+A056205 = (None*differential((A006471+(-((51/(x-1)^7)+(163/(x-1)^8)+(194/(x-1)^9)+(78/(x-1)^10))))))
+A337962 = ((None*(A006471+(-((4/(x-1)^6)+(163/(x-1)^8)+(194/(x-1)^9)+(78/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006471+(-((4/(x-1)^6)+(163/(x-1)^8)+(194/(x-1)^9)+(78/(x-1)^10))))))
+A056205 = (None*differential((A006471+(-((4/(x-1)^6)+(163/(x-1)^8)+(194/(x-1)^9)+(78/(x-1)^10))))))
+A337962 = ((None*(A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(194/(x-1)^9)+(78/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(194/(x-1)^9)+(78/(x-1)^10))))))
+A056205 = (None*differential((A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(194/(x-1)^9)+(78/(x-1)^10))))))
+A337962 = ((None*(A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(163/(x-1)^8)+(78/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(163/(x-1)^8)+(78/(x-1)^10))))))
+A056205 = (None*differential((A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(163/(x-1)^8)+(78/(x-1)^10))))))
+A337406 = ((None*(A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(163/(x-1)^8)+(194/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(163/(x-1)^8)+(194/(x-1)^9))))))
+A056205 = (None*differential((A006471+(-((4/(x-1)^6)+(51/(x-1)^7)+(163/(x-1)^8)+(194/(x-1)^9))))))
+A305412 = ((None*(A006478+(-((-(1/(x-1)))+(x/((x^2+x)-1)^2)))))+(-(((1/5)*(x+1))/((x^2-(3*x))+1)))+(-(1/5/(x+1))))
+A056205 = (None*integrate((A006478+(-((-(1/(x-1)))+(x/((x^2+x)-1)^2))))))
+A056205 = (None*differential((A006478+(-((-(1/(x-1)))+(x/((x^2+x)-1)^2))))))
+A291916 = ((None*(A006478+(-(((x+1)/((x^2+x)-1))+(-(1/(x-1)))))))+(-((x+1)/((x^2+x)-1)))+(-(-(1/(x-1))))+(-2))
+A056205 = (None*integrate((A006478+(-(((x+1)/((x^2+x)-1))+(-(1/(x-1))))))))
+A056205 = (None*differential((A006478+(-(((x+1)/((x^2+x)-1))+(-(1/(x-1))))))))
+A339760 = ((None*(A006483+(-(-(1/(x-1))))))+x+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006483+(-(-(1/(x-1)))))))
+A056205 = (None*differential((A006483+(-(-(1/(x-1)))))))
+A339610 = ((None*(A006490+(-(((7*x)-4)/((x^2+x)-1)^2))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A056205 = (None*integrate((A006490+(-(((7*x)-4)/((x^2+x)-1)^2)))))
+A056205 = (None*differential((A006490+(-(((7*x)-4)/((x^2+x)-1)^2)))))
+A339610 = ((None*(A006490+(-((2*(x-2))/((x^2+x)-1)))))+((3*(x-2))/((x^2+x)-1))+(-2))
+A056205 = (None*integrate((A006490+(-((2*(x-2))/((x^2+x)-1))))))
+A056205 = (None*differential((A006490+(-((2*(x-2))/((x^2+x)-1))))))
+A338192 = ((None*(A006491+(-((-(((8*x)-13)/((x^2+x)-1)^2))+(-(((18*x)-11)/((x^2+x)-1)^3))))))+(-(x^2/((x^3+x^2+x)-1))))
+A056205 = (None*integrate((A006491+(-((-(((8*x)-13)/((x^2+x)-1)^2))+(-(((18*x)-11)/((x^2+x)-1)^3)))))))
+A056205 = (None*differential((A006491+(-((-(((8*x)-13)/((x^2+x)-1)^2))+(-(((18*x)-11)/((x^2+x)-1)^3)))))))
+A056205 = (None*integrate((A006491+(-((2/((x^2+x)-1))+(-(((18*x)-11)/((x^2+x)-1)^3)))))))
+A056205 = (None*differential((A006491+(-((2/((x^2+x)-1))+(-(((18*x)-11)/((x^2+x)-1)^3)))))))
+A056205 = (None*integrate((A006491+(-((2/((x^2+x)-1))+(-(((8*x)-13)/((x^2+x)-1)^2)))))))
+A056205 = (None*differential((A006491+(-((2/((x^2+x)-1))+(-(((8*x)-13)/((x^2+x)-1)^2)))))))
+A291916 = ((None*(A006492+(-((-(((10*x)-19)/((x^2+x)-1)^3))+(-(((29*x)-18)/((x^2+x)-1)^4))))))+(-((x+1)/((x^2+x)-1)))+(-(-(1/(x-1))))+(-2))
+A056205 = (None*integrate((A006492+(-((-(((10*x)-19)/((x^2+x)-1)^3))+(-(((29*x)-18)/((x^2+x)-1)^4)))))))
+A056205 = (None*differential((A006492+(-((-(((10*x)-19)/((x^2+x)-1)^3))+(-(((29*x)-18)/((x^2+x)-1)^4)))))))
+A056205 = (None*integrate((A006492+(-((2/((x^2+x)-1)^2)+(-(((29*x)-18)/((x^2+x)-1)^4)))))))
+A056205 = (None*differential((A006492+(-((2/((x^2+x)-1)^2)+(-(((29*x)-18)/((x^2+x)-1)^4)))))))
+A307307 = ((None*(A006492+(-((2/((x^2+x)-1)^2)+(-(((10*x)-19)/((x^2+x)-1)^3))))))+(6*x^3)+(-(-(6*x^2)))+(-(12*x))+(-((4*((23*x)-87))/((x^2+x)-1)))+(-((4*((239*x)-351))/((x^2+x)-1)^2))+(-((24*((87*x)-80))/((x^2+x)-1)^3)))
+A056205 = (None*integrate((A006492+(-((2/((x^2+x)-1)^2)+(-(((10*x)-19)/((x^2+x)-1)^3)))))))
+A056205 = (None*differential((A006492+(-((2/((x^2+x)-1)^2)+(-(((10*x)-19)/((x^2+x)-1)^3)))))))
+A118444 = ((None*A006495)+(-((2*x)/((5*x^2)+(2*x)+1))))
+A056205 = (None*integrate(A006495))
+A056205 = (None*differential(A006495))
+A199405 = ((None*A006497)+(((11*x)+3)/(x^2-(3*x)-1))+1)
+A056205 = (None*integrate(A006497))
+A056205 = (None*differential(A006497))
+A056205 = (None*integrate((A006498+(-(((1/5)*(x+2))/(x^2+1))))))
+A056205 = (None*differential((A006498+(-(((1/5)*(x+2))/(x^2+1))))))
+A056205 = (None*integrate((A006498+(-(-(((1/5)*(x+3))/((x^2+x)-1)))))))
+A056205 = (None*differential((A006498+(-(-(((1/5)*(x+3))/((x^2+x)-1)))))))
+A056205 = (None*integrate((A006498+(-(((1/5)*(x+2))/(x^2+1))))))
+A056205 = (None*differential((A006498+(-(((1/5)*(x+2))/(x^2+1))))))
+A056205 = (None*integrate((A006498+(-(-(((1/5)*(x+3))/((x^2+x)-1)))))))
+A056205 = (None*differential((A006498+(-(-(((1/5)*(x+3))/((x^2+x)-1)))))))
+A295732 = ((None*(A006499+(-(-((x+2)/(x^2+1))))))+(((5*x)+4)/((2*x^2)-1)))
+A056205 = (None*integrate((A006499+(-(-((x+2)/(x^2+1)))))))
+A056205 = (None*differential((A006499+(-(-((x+2)/(x^2+1)))))))
+A133570 = ((1*(A006499+(-(-((x+3)/((x^2+x)-1))))))+(-x)+(-((2*x)/(x^2+1)^2))+5)
+A056205 = (None*integrate((A006499+(-(-((x+3)/((x^2+x)-1)))))))
+A056205 = (None*differential((A006499+(-(-((x+3)/((x^2+x)-1)))))))
+A056205 = (None*integrate((A006502+(-((-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3)))))))
+A056205 = (None*differential((A006502+(-((-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3)))))))
+A056205 = (None*integrate((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3)))))))
+A056205 = (None*differential((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3)))))))
+A305412 = ((None*(A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3))))))+(-(((1/5)*(x+1))/((x^2-(3*x))+1)))+(-(1/5/(x+1))))
+A056205 = (None*integrate((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3)))))))
+A056205 = (None*differential((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3)))))))
+A056205 = (None*integrate((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3)))))))
+A056205 = (None*differential((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(x/((x^2+x)-1)^2))+(-(5/((x^2+x)-1)^3)))))))
+A291916 = ((None*(A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(5/((x^2+x)-1)^3))))))+(-((x+1)/((x^2+x)-1)))+(-(-(1/(x-1))))+(-2))
+A056205 = (None*integrate((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(5/((x^2+x)-1)^3)))))))
+A056205 = (None*differential((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(5/((x^2+x)-1)^3)))))))
+A229731 = ((None*(A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2))))))+(-x^3)+(-x)+(-((2*(x-1))/((x^2+x)-1)))+(-(1/((x^2+x)-1)^2))+(-1))
+A056205 = (None*integrate((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2)))))))
+A056205 = (None*differential((A006502+(-((((4*x)+9)/((x^2+(2*x))-1))+(-(-(((3*x)+10)/((x^2+(3*x))-1))))+(-(-((x+1)/((x^2+x)-1))))+(-(-((2*(x+3))/((x^2+(2*x))-1)^2)))+(-(x/((x^2+x)-1)^2)))))))
+A339623 = (((-(7/2))*differential((A006503+(-((-(1/(x-1)^3))+(1/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A006503+(-((-(2/(x-1)^2))+(1/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A006503+(-((-(2/(x-1)^2))+(1/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((108*(A006503+(-((-(2/(x-1)^2))+(-(1/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A006503+(-((-(2/(x-1)^2))+(-(1/(x-1)^3)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*differential((A006516+(-(-(1/2/((4*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-1)*differential((A006522+(-((-(4/(x-1)))+(-(7/(x-1)^3))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((2*(A006522+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/7)*differential((A006522+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-27)*(A006522+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-2357)*differential((A006522+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(-(7/(x-1)^3))+(-(1/(x-1)^5)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((37712*(A006522+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(-(7/(x-1)^3))+(-(4/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/5))*differential((A006522+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(-(7/(x-1)^3))+(-(4/(x-1)^4)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/3)*differential((A006527+(-((1/(x-1))+(4/(x-1)^3)+(2/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/2))*(A006527+(-((1/(x-1))+(3/(x-1)^2)+(2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-9)*differential((A006527+(-((1/(x-1))+(3/(x-1)^2)+(2/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((54*(A006527+(-((1/(x-1))+(3/(x-1)^2)+(4/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*differential((A006527+(-((1/(x-1))+(3/(x-1)^2)+(4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A006529+(-((-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(370/(x-1)^4))+(-(100/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006529+(-((-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(370/(x-1)^4))+(-(100/(x-1)^5)))))))
+A056205 = (None*differential((A006529+(-((-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(370/(x-1)^4))+(-(100/(x-1)^5)))))))
+A339751 = ((None*(A006529+(-((-(77/(x-1)))+(-(518/(x-1)^3))+(-(370/(x-1)^4))+(-(100/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006529+(-((-(77/(x-1)))+(-(518/(x-1)^3))+(-(370/(x-1)^4))+(-(100/(x-1)^5)))))))
+A056205 = (None*differential((A006529+(-((-(77/(x-1)))+(-(518/(x-1)^3))+(-(370/(x-1)^4))+(-(100/(x-1)^5)))))))
+A339623 = ((None*(A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(370/(x-1)^4))+(-(100/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(370/(x-1)^4))+(-(100/(x-1)^5)))))))
+A056205 = (None*differential((A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(370/(x-1)^4))+(-(100/(x-1)^5)))))))
+A338588 = ((None*(A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(100/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(100/(x-1)^5)))))))
+A056205 = (None*differential((A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(100/(x-1)^5)))))))
+A337962 = ((None*(A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(370/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(370/(x-1)^4)))))))
+A056205 = (None*differential((A006529+(-((-(77/(x-1)))+(-(325/(x-1)^2))+(-(518/(x-1)^3))+(-(370/(x-1)^4)))))))
+A339623 = (((-(7/9))*differential((A006542+(-((-(1/(x-1)))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(51/(x-1)^5))+(-(25/(x-1)^6))+(-(5/(x-1)^7)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((14/31)*(A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(54/(x-1)^4))+(-(51/(x-1)^5))+(-(25/(x-1)^6))+(-(5/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/31)*differential((A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(54/(x-1)^4))+(-(51/(x-1)^5))+(-(25/(x-1)^6))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-2)*(A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(51/(x-1)^5))+(-(25/(x-1)^6))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(51/(x-1)^5))+(-(25/(x-1)^6))+(-(5/(x-1)^7)))))))
+A056205 = (None*differential((A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(51/(x-1)^5))+(-(25/(x-1)^6))+(-(5/(x-1)^7)))))))
+A337962 = ((None*(A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(25/(x-1)^6))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(25/(x-1)^6))+(-(5/(x-1)^7)))))))
+A056205 = (None*differential((A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(25/(x-1)^6))+(-(5/(x-1)^7)))))))
+A337962 = (((71322/25)*(A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(51/(x-1)^5))+(-(5/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(37712/5))*integrate((A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(51/(x-1)^5))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(12512/25))*differential((A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(51/(x-1)^5))+(-(5/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((75072/5)*(A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(51/(x-1)^5))+(-(25/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(8262/7))*differential((A006542+(-((-(1/(x-1)))+(-(9/(x-1)^2))+(-(31/(x-1)^3))+(-(54/(x-1)^4))+(-(51/(x-1)^5))+(-(25/(x-1)^6)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A006564+(-((6/(x-1))+(35/(x-1)^3)+(15/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006564+(-((6/(x-1))+(35/(x-1)^3)+(15/(x-1)^4))))))
+A056205 = (None*differential((A006564+(-((6/(x-1))+(35/(x-1)^3)+(15/(x-1)^4))))))
+A339623 = ((None*(A006564+(-((6/(x-1))+(26/(x-1)^2)+(15/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006564+(-((6/(x-1))+(26/(x-1)^2)+(15/(x-1)^4))))))
+A056205 = (None*differential((A006564+(-((6/(x-1))+(26/(x-1)^2)+(15/(x-1)^4))))))
+A338588 = (((36/5)*(A006564+(-((6/(x-1))+(26/(x-1)^2)+(35/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/5)*integrate((A006564+(-((6/(x-1))+(26/(x-1)^2)+(35/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/15)*differential((A006564+(-((6/(x-1))+(26/(x-1)^2)+(35/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006566+(-((46/(x-1)^2)+(63/(x-1)^3)+(27/(x-1)^4))))))
+A056205 = (None*differential((A006566+(-((46/(x-1)^2)+(63/(x-1)^3)+(27/(x-1)^4))))))
+A339751 = ((None*(A006566+(-((10/(x-1))+(63/(x-1)^3)+(27/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006566+(-((10/(x-1))+(63/(x-1)^3)+(27/(x-1)^4))))))
+A056205 = (None*differential((A006566+(-((10/(x-1))+(63/(x-1)^3)+(27/(x-1)^4))))))
+A339623 = (((-(2/9))*(A006566+(-((10/(x-1))+(46/(x-1)^2)+(27/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-(4/7))*differential((A006566+(-((10/(x-1))+(46/(x-1)^2)+(27/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((4*(A006566+(-((10/(x-1))+(46/(x-1)^2)+(63/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/9)*integrate((A006566+(-((10/(x-1))+(46/(x-1)^2)+(63/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/27)*differential((A006566+(-((10/(x-1))+(46/(x-1)^2)+(63/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A006584+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(1/8/(x+1)^2))+(1/(x-1)^3)+(1/2/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006584+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(1/8/(x+1)^2))+(1/(x-1)^3)+(1/2/(x-1)^4))))))
+A056205 = (None*differential((A006584+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(1/8/(x+1)^2))+(1/(x-1)^3)+(1/2/(x-1)^4))))))
+A339623 = (((-14)*(A006584+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(1/8/(x+1)^2))+(3/8/(x-1)^2)+(1/2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A006584+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(1/8/(x+1)^2))+(3/8/(x-1)^2)+(1/2/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((18856*differential((A006584+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(1/8/(x+1)^2))+(3/8/(x-1)^2)+(1/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339760 = ((1*(A006589+(-((1/(x-1))+(1/((2*x)-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/4))*differential((A006589+(-((1/(x-1))+(1/((2*x)-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*(A006589+(-((-(2/((2*x)-1)))+(1/(x-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = ((1*differential((A006589+(-((-(2/((2*x)-1)))+(1/(x-1)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339751 = ((None*(A006592+(-((88/(x-1)^2)+(132/(x-1)^3)+(60/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A006592+(-((88/(x-1)^2)+(132/(x-1)^3)+(60/(x-1)^4))))))
+A056205 = (None*differential((A006592+(-((88/(x-1)^2)+(132/(x-1)^3)+(60/(x-1)^4))))))
+A339751 = ((None*(A006592+(-((16/(x-1))+(132/(x-1)^3)+(60/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006592+(-((16/(x-1))+(132/(x-1)^3)+(60/(x-1)^4))))))
+A056205 = (None*differential((A006592+(-((16/(x-1))+(132/(x-1)^3)+(60/(x-1)^4))))))
+A339623 = ((None*(A006592+(-((16/(x-1))+(88/(x-1)^2)+(60/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006592+(-((16/(x-1))+(88/(x-1)^2)+(60/(x-1)^4))))))
+A056205 = (None*differential((A006592+(-((16/(x-1))+(88/(x-1)^2)+(60/(x-1)^4))))))
+A338588 = (((9/5)*(A006592+(-((16/(x-1))+(88/(x-1)^2)+(132/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A006592+(-((16/(x-1))+(88/(x-1)^2)+(132/(x-1)^3))))))
+A056205 = (None*differential((A006592+(-((16/(x-1))+(88/(x-1)^2)+(132/(x-1)^3))))))
+A339751 = ((None*(A006597+(-((4/(x-1))+(33/(x-1)^3)+(15/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006597+(-((4/(x-1))+(33/(x-1)^3)+(15/(x-1)^4))))))
+A056205 = (None*differential((A006597+(-((4/(x-1))+(33/(x-1)^3)+(15/(x-1)^4))))))
+A339623 = ((None*(A006597+(-((4/(x-1))+(22/(x-1)^2)+(15/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A006597+(-((4/(x-1))+(22/(x-1)^2)+(15/(x-1)^4))))))
+A056205 = (None*differential((A006597+(-((4/(x-1))+(22/(x-1)^2)+(15/(x-1)^4))))))
+A338588 = (((36/5)*(A006597+(-((4/(x-1))+(22/(x-1)^2)+(33/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/5)*integrate((A006597+(-((4/(x-1))+(22/(x-1)^2)+(33/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/15)*differential((A006597+(-((4/(x-1))+(22/(x-1)^2)+(33/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006603+(-(-(((1/2)*(sqrt(((x^2-(6*x))+1))-1))/x))))))
+A056205 = (None*differential((A006603+(-(-(((1/2)*(sqrt(((x^2-(6*x))+1))-1))/x))))))
+A056205 = (None*integrate((A006603+(-(((1/2)*(((x^2*(sqrt(((x^2-(6*x))+1))-1))+(x*(sqrt(((x^2-(6*x))+1))-3)))-sqrt(((x^2-(6*x))+1))))/(((x^3+x^2)-x)+1))))))
+A056205 = (None*differential((A006603+(-(((1/2)*(((x^2*(sqrt(((x^2-(6*x))+1))-1))+(x*(sqrt(((x^2-(6*x))+1))-3)))-sqrt(((x^2-(6*x))+1))))/(((x^3+x^2)-x)+1))))))
+A056205 = (None*integrate((A006604+(-(-(((1/4)*(sqrt(((x^2-(6*x))+1))-1))/x))))))
+A056205 = (None*differential((A006604+(-(-(((1/4)*(sqrt(((x^2-(6*x))+1))-1))/x))))))
+A338588 = ((108*(A006637+(-((-(-(4/(x-1)^5)))+(-(6/(x-1)^6))+(-(4/(x-1)^7))+(1/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((9428*differential((A006637+(-((-(-(4/(x-1)^5)))+(-(6/(x-1)^6))+(-(4/(x-1)^7))+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((None*(A006637+(-((1/(x-1)^4)+(-(6/(x-1)^6))+(-(4/(x-1)^7))+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006637+(-((1/(x-1)^4)+(-(6/(x-1)^6))+(-(4/(x-1)^7))+(1/(x-1)^8))))))
+A056205 = (None*differential((A006637+(-((1/(x-1)^4)+(-(6/(x-1)^6))+(-(4/(x-1)^7))+(1/(x-1)^8))))))
+A337962 = ((11887*(A006637+(-((1/(x-1)^4)+(-(-(4/(x-1)^5)))+(-(4/(x-1)^7))+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(6256/3))*differential((A006637+(-((1/(x-1)^4)+(-(-(4/(x-1)^5)))+(-(4/(x-1)^7))+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((18768*(A006637+(-((1/(x-1)^4)+(-(-(4/(x-1)^5)))+(-(6/(x-1)^6))+(1/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(20655/14))*differential((A006637+(-((1/(x-1)^4)+(-(-(4/(x-1)^5)))+(-(6/(x-1)^6))+(1/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((-41310)*(A006637+(-((1/(x-1)^4)+(-(-(4/(x-1)^5)))+(-(6/(x-1)^6))+(-(4/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337962 = (((4635/4)*differential((A006637+(-((1/(x-1)^4)+(-(-(4/(x-1)^5)))+(-(6/(x-1)^6))+(-(4/(x-1)^7)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A309717 = ((None*(A006645+(-(-(((2*x)-1)/((x^2+(2*x))-1)^2)))))+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A056205 = (None*integrate((A006645+(-(-(((2*x)-1)/((x^2+(2*x))-1)^2))))))
+A056205 = (None*differential((A006645+(-(-(((2*x)-1)/((x^2+(2*x))-1)^2))))))
+A074084 = ((None*(A006645+(-(1/((x^2+(2*x))-1)))))+(-((2*(x-1))/((x^2+(2*x))-1)))+1)
+A056205 = (None*integrate((A006645+(-(1/((x^2+(2*x))-1))))))
+A056205 = (None*differential((A006645+(-(1/((x^2+(2*x))-1))))))
+A056205 = (None*integrate((A006646+(-(1/4/((2*x)-1))))))
+A056205 = (None*differential((A006646+(-(1/4/((2*x)-1))))))
+A056205 = (None*integrate(A006659))
+A056205 = (None*differential(A006659))
+A056205 = (None*integrate((A006668+(-(1/8/((2*x)-1))))))
+A056205 = (None*differential((A006668+(-(1/8/((2*x)-1))))))
+A339760 = ((None*(A006668+(-(((1/8)*((2*x)-1))/(((4*x^2)+(4*x))-1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006668+(-(((1/8)*((2*x)-1))/(((4*x^2)+(4*x))-1))))))
+A056205 = (None*differential((A006668+(-(((1/8)*((2*x)-1))/(((4*x^2)+(4*x))-1))))))
+A309717 = ((1*(A006684+(-(x/((x^2+x)-1)))))+(-(((1/2)*x)/((x^2+(3*x))-1)))+(-(((1/2)*x)/((x^2+x)-1))))
+A338192 = ((None*(A006684+(-(-(x/((x^2+(2*x))-1))))))+(-(x^2/((x^3+x^2+x)-1))))
+A056205 = (None*integrate((A006684+(-(-(x/((x^2+(2*x))-1)))))))
+A056205 = (None*differential((A006684+(-(-(x/((x^2+(2*x))-1)))))))
+A056205 = (None*integrate((A006743+(-((-(((2/27)*(sqrt(((-(4*x^2))+1))+6))/(x+1)))+(-(((1/36)*((4*sqrt(((-(4*x^2))+1)))-3))/((2*x)-1)^2))+(-(((1/9)*(sqrt(((-(4*x^2))+1))-3))/(x+1)^2))+(-(1/4)))))))
+A056205 = (None*differential((A006743+(-((-(((2/27)*(sqrt(((-(4*x^2))+1))+6))/(x+1)))+(-(((1/36)*((4*sqrt(((-(4*x^2))+1)))-3))/((2*x)-1)^2))+(-(((1/9)*(sqrt(((-(4*x^2))+1))-3))/(x+1)^2))+(-(1/4)))))))
+A056205 = (None*integrate((A006743+(-((-(((1/54)*((8*sqrt(((-(4*x^2))+1)))+21))/((2*x)-1)))+(-(((1/36)*((4*sqrt(((-(4*x^2))+1)))-3))/((2*x)-1)^2))+(-(((1/9)*(sqrt(((-(4*x^2))+1))-3))/(x+1)^2))+(-(1/4)))))))
+A056205 = (None*differential((A006743+(-((-(((1/54)*((8*sqrt(((-(4*x^2))+1)))+21))/((2*x)-1)))+(-(((1/36)*((4*sqrt(((-(4*x^2))+1)))-3))/((2*x)-1)^2))+(-(((1/9)*(sqrt(((-(4*x^2))+1))-3))/(x+1)^2))+(-(1/4)))))))
+A056205 = (None*integrate((A006743+(-((-(((1/54)*((8*sqrt(((-(4*x^2))+1)))+21))/((2*x)-1)))+(-(((2/27)*(sqrt(((-(4*x^2))+1))+6))/(x+1)))+(-(((1/9)*(sqrt(((-(4*x^2))+1))-3))/(x+1)^2))+(-(1/4)))))))
+A056205 = (None*differential((A006743+(-((-(((1/54)*((8*sqrt(((-(4*x^2))+1)))+21))/((2*x)-1)))+(-(((2/27)*(sqrt(((-(4*x^2))+1))+6))/(x+1)))+(-(((1/9)*(sqrt(((-(4*x^2))+1))-3))/(x+1)^2))+(-(1/4)))))))
+A056205 = (None*integrate((A006743+(-((-(((1/54)*((8*sqrt(((-(4*x^2))+1)))+21))/((2*x)-1)))+(-(((2/27)*(sqrt(((-(4*x^2))+1))+6))/(x+1)))+(-(((1/36)*((4*sqrt(((-(4*x^2))+1)))-3))/((2*x)-1)^2))+(-(1/4)))))))
+A056205 = (None*differential((A006743+(-((-(((1/54)*((8*sqrt(((-(4*x^2))+1)))+21))/((2*x)-1)))+(-(((2/27)*(sqrt(((-(4*x^2))+1))+6))/(x+1)))+(-(((1/36)*((4*sqrt(((-(4*x^2))+1)))-3))/((2*x)-1)^2))+(-(1/4)))))))
+A056205 = (None*integrate(A006849))
+A056205 = (None*differential(A006849))
+A337962 = (((-37712)*(A006859+(-((25/(x-1)^6)+(165/(x-1)^7)+(430/(x-1)^8)+(480/(x-1)^9)+(192/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((71322/5)*differential((A006859+(-((25/(x-1)^6)+(165/(x-1)^7)+(430/(x-1)^8)+(480/(x-1)^9)+(192/(x-1)^10))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(71322/25))*(A006859+(-((1/(x-1)^5)+(165/(x-1)^7)+(430/(x-1)^8)+(480/(x-1)^9)+(192/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006859+(-((1/(x-1)^5)+(165/(x-1)^7)+(430/(x-1)^8)+(480/(x-1)^9)+(192/(x-1)^10))))))
+A056205 = (None*differential((A006859+(-((1/(x-1)^5)+(165/(x-1)^7)+(430/(x-1)^8)+(480/(x-1)^9)+(192/(x-1)^10))))))
+A337962 = ((None*(A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(430/(x-1)^8)+(480/(x-1)^9)+(192/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(430/(x-1)^8)+(480/(x-1)^9)+(192/(x-1)^10))))))
+A056205 = (None*differential((A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(430/(x-1)^8)+(480/(x-1)^9)+(192/(x-1)^10))))))
+A337962 = ((None*(A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(480/(x-1)^9)+(192/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(480/(x-1)^9)+(192/(x-1)^10))))))
+A056205 = (None*differential((A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(480/(x-1)^9)+(192/(x-1)^10))))))
+A337962 = ((None*(A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(430/(x-1)^8)+(192/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(430/(x-1)^8)+(192/(x-1)^10))))))
+A056205 = (None*differential((A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(430/(x-1)^8)+(192/(x-1)^10))))))
+A337406 = ((None*(A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(430/(x-1)^8)+(480/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(430/(x-1)^8)+(480/(x-1)^9))))))
+A056205 = (None*differential((A006859+(-((1/(x-1)^5)+(25/(x-1)^6)+(165/(x-1)^7)+(430/(x-1)^8)+(480/(x-1)^9))))))
+A056205 = (None*integrate(A006864))
+A056205 = (None*differential(A006864))
+A056205 = (None*integrate(A006865))
+A056205 = (None*differential(A006865))
+A337120 = ((None*(A006904+(-((-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A006904+(-((-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16))))))
+A056205 = (None*differential((A006904+(-((-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16))))))
+A339623 = ((None*(A006904+(-((-((1/2)*x^3))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A006904+(-((-((1/2)*x^3))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16))))))
+A056205 = (None*differential((A006904+(-((-((1/2)*x^3))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16))))))
+A339760 = ((None*(A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16))))))
+A056205 = (None*differential((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16))))))
+A339760 = ((None*(A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16))))))
+A056205 = (None*differential((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(13/9/(x+1)))+(1/3/(x+1)^2)+(17/16))))))
+A338717 = ((None*(A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(1/3/(x+1)^2)+(17/16)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(1/3/(x+1)^2)+(17/16))))))
+A056205 = (None*differential((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(1/3/(x+1)^2)+(17/16))))))
+A338544 = ((None*(A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(17/16)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(17/16))))))
+A056205 = (None*differential((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(17/16))))))
+A056205 = (None*integrate((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2))))))
+A056205 = (None*differential((A006904+(-((-((1/2)*x^3))+(-((1/4)*x^2))+(-((7/8)*x))+(-(7/144/((2*x)-1)))+(-(13/9/(x+1)))+(1/3/(x+1)^2))))))
+A338717 = ((None*(A006918+(-((-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(-(1/16/(x-1)^2))+(1/4/(x-1)^4)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006918+(-((-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(-(1/16/(x-1)^2))+(1/4/(x-1)^4))))))
+A056205 = (None*differential((A006918+(-((-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(-(1/16/(x-1)^2))+(1/4/(x-1)^4))))))
+A339751 = ((None*(A006918+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(1/4/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006918+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(1/4/(x-1)^4))))))
+A056205 = (None*differential((A006918+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(1/4/(x-1)^4))))))
+A337962 = ((37712*differential((A006918+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(-(1/16/(x-1)^2)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338717 = ((None*(A006918+(-((-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(-(1/16/(x-1)^2))+(1/4/(x-1)^4)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A006918+(-((-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(-(1/16/(x-1)^2))+(1/4/(x-1)^4))))))
+A056205 = (None*differential((A006918+(-((-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(-(1/16/(x-1)^2))+(1/4/(x-1)^4))))))
+A339751 = ((None*(A006918+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(1/4/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A006918+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(1/4/(x-1)^4))))))
+A056205 = (None*differential((A006918+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(1/4/(x-1)^4))))))
+A337962 = ((37712*differential((A006918+(-((-(1/16/(x+1)))+(-(1/16/(x-1)))+(-(1/16/(x+1)^2))+(-(1/16/(x-1)^2)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A290034 = ((None*(A006974+(-(1/2/((2*x)-1)^4))))+(-(1/120/((6*x)-1)))+(-(-(-(1/30/((5*x)-1)))))+(-(-(-(5/96/((4*x)-1)))))+(-(-(1/27/((3*x)-1))))+(-(-(1/48/((2*x)-1))))+(-(-(11/30/(x-1))))+(-(-(1/120/((5*x)-1)^2)))+(-(1/48/((4*x)-1)^2))+(-(1/36/((3*x)-1)^2))+(-(1/24/((2*x)-1)^2))+(-(53/24/(x-1)^2))+(-(1/96/((4*x)-1)^3))+(-(1/8/((2*x)-1)^3))+(-(16/3/(x-1)^3))+(-(1/54/((3*x)-1)^4))+(-(1/8/((2*x)-1)^4))+(-(13/2/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6)))
+A056205 = (None*integrate((A006974+(-(1/2/((2*x)-1)^4)))))
+A056205 = (None*differential((A006974+(-(1/2/((2*x)-1)^4)))))
+A290029 = ((None*(A006976+(-(-(1/2/((2*x)-1)^7)))))+(-(1585/((2*x)-1)))+(-(10315/((2*x)-1)^2))+(-(27840/((2*x)-1)^3))+(-(39910/((2*x)-1)^4))+(-(32065/((2*x)-1)^5))+(-(2430/((2*x)-1)^7)))
+A056205 = (None*integrate((A006976+(-(-(1/2/((2*x)-1)^7))))))
+A056205 = (None*differential((A006976+(-(-(1/2/((2*x)-1)^7))))))
+A290029 = ((None*(A006976+(-(1/2/((2*x)-1)^6))))+(-(1585/((2*x)-1)))+(-(10315/((2*x)-1)^2))+(-(27840/((2*x)-1)^3))+(-(39910/((2*x)-1)^4))+(-(32065/((2*x)-1)^5))+(-(13695/((2*x)-1)^6)))
+A056205 = (None*integrate((A006976+(-(1/2/((2*x)-1)^6)))))
+A056205 = (None*differential((A006976+(-(1/2/((2*x)-1)^6)))))
+A283836 = ((None*(A006979+(-(1/((x^4+x^3+x^2+x)-1)))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(1/4/(x^2+x+1))+(1/6/(x+1)))
+A056205 = (None*integrate((A006979+(-(1/((x^4+x^3+x^2+x)-1))))))
+A056205 = (None*differential((A006979+(-(1/((x^4+x^3+x^2+x)-1))))))
+A298371 = ((1*(A006979+(-(-(1/((x^5+x^4+x^3+x^2+x)-1))))))+(-(((x^2+x)-1)/((x^4+x^3+x^2+x)-1)^2)))
+A056205 = (None*integrate((A006979+(-(-(1/((x^5+x^4+x^3+x^2+x)-1)))))))
+A056205 = (None*differential((A006979+(-(-(1/((x^5+x^4+x^3+x^2+x)-1)))))))
+A283837 = ((None*(A006980+(-(1/((x^5+x^4+x^3+x^2+x)-1)))))+(1/2/(x^6+x^5+x^4+x^3+x^2+x+1)))
+A056205 = (None*integrate((A006980+(-(1/((x^5+x^4+x^3+x^2+x)-1))))))
+A056205 = (None*differential((A006980+(-(1/((x^5+x^4+x^3+x^2+x)-1))))))
+A283836 = ((None*(A006980+(-(-(1/((x^6+x^5+x^4+x^3+x^2+x)-1))))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(1/4/(x^2+x+1))+(1/6/(x+1)))
+A056205 = (None*integrate((A006980+(-(-(1/((x^6+x^5+x^4+x^3+x^2+x)-1)))))))
+A056205 = (None*differential((A006980+(-(-(1/((x^6+x^5+x^4+x^3+x^2+x)-1)))))))
+A338717 = ((None*(A007009+(-((-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007009+(-((-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5)))))))
+A056205 = (None*differential((A007009+(-((-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5)))))))
+A339751 = ((None*(A007009+(-((-(1/64/(x+1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007009+(-((-(1/64/(x+1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5)))))))
+A056205 = (None*differential((A007009+(-((-(1/64/(x+1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5)))))))
+A339623 = ((None*(A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5)))))))
+A056205 = (None*differential((A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(3/4/(x-1)^4))+(-(3/4/(x-1)^5)))))))
+A338588 = ((None*(A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^5)))))))
+A056205 = (None*differential((A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^5)))))))
+A337962 = ((None*(A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4)))))))
+A056205 = (None*differential((A007009+(-((-(1/64/(x+1)))+(-(1/64/(x-1)))+(-(1/32/(x+1)^2))+(-(1/16/(x-1)^3))+(-(3/4/(x-1)^4)))))))
+A338717 = ((None*(A007010+(-((-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007010+(-((-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A339751 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A338544 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A339751 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A339623 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A338588 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A337962 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A337962 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A337962 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(105/4/(x-1)^8))+(-(21/2/(x-1)^9)))))))
+A337962 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(21/2/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(21/2/(x-1)^9)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(21/2/(x-1)^9)))))))
+A337962 = ((None*(A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8)))))))
+A056205 = (None*differential((A007010+(-((-(3/512/(x+1)))+(-(-(3/512/(x-1))))+(-(-(1/256/(x+1)^2)))+(-(-(1/128/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(1/64/(x-1)^3))+(-(3/64/(x-1)^4))+(-(27/32/(x-1)^5))+(-(15/2/(x-1)^6))+(-(45/2/(x-1)^7))+(-(105/4/(x-1)^8)))))))
+A339610 = ((3*(A007039+(-((-((x-2)/((x^2-x)+1)))+(-4)))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A309496 = ((1*(A007039+(-(((x-2)/((x^2+x)-1))+(-4)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A056205 = (None*integrate((A007039+(-(((x-2)/((x^2+x)-1))+(-4))))))
+A056205 = (None*differential((A007039+(-(((x-2)/((x^2+x)-1))+(-4))))))
+A338042 = ((1*(A007039+(-(((x-2)/((x^2+x)-1))+(-((x-2)/((x^2-x)+1)))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = (((-0.25)*integrate((A007039+(-(((x-2)/((x^2+x)-1))+(-((x-2)/((x^2-x)+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A007040+(-((-((x+2)/(x^2+x+1)))+(-((x-2)/((x^2+x)-1)))+(-4)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A007040+(-((-((x+2)/(x^2+x+1)))+(-((x-2)/((x^2+x)-1)))+(-4))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A007040+(-((-((x+2)/(x^2+x+1)))+(-((x-2)/((x^2+x)-1)))+(-4))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A301773 = ((1*(A007040+(-((2*x)+(-((x-2)/((x^2+x)-1)))+(-4)))))+(-(((3*x)-2)/((x^2-(3*x))+1))))
+A056205 = (None*integrate((A007040+(-((2*x)+(-((x-2)/((x^2+x)-1)))+(-4))))))
+A056205 = (None*differential((A007040+(-((2*x)+(-((x-2)/((x^2+x)-1)))+(-4))))))
+A339610 = ((None*(A007040+(-((2*x)+(-((x+2)/(x^2+x+1)))+(-4)))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A056205 = (None*integrate((A007040+(-((2*x)+(-((x+2)/(x^2+x+1)))+(-4))))))
+A056205 = (None*differential((A007040+(-((2*x)+(-((x+2)/(x^2+x+1)))+(-4))))))
+A338042 = ((1*(A007040+(-((2*x)+(-((x+2)/(x^2+x+1)))+(-((x-2)/((x^2+x)-1)))))))+(15/8/(x+1))+(-(31/8/(x-1)))+(-(3/4/(x+1)^2))+(-(3/2/(x-1)^2))+(-(1/2/(x-1)^3)))
+A339760 = (((-0.25)*integrate((A007040+(-((2*x)+(-((x+2)/(x^2+x+1)))+(-((x-2)/((x^2+x)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate(A007052))
+A056205 = (None*differential(A007052))
+A056205 = (None*integrate((A007068+(-(-1)))))
+A056205 = (None*differential((A007068+(-(-1)))))
+A339760 = ((1*(A007068+(-(-((x^2-x-1)/(((2*x^4)-(4*x^2))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A007068+(-(-((x^2-x-1)/(((2*x^4)-(4*x^2))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A204090 = ((1*A007070)+(-(2/((2*x)-1)))+(-(2/(x-1))))
+A056205 = (None*integrate(A007070))
+A056205 = (None*differential(A007070))
+A204090 = ((1*A007070)+(-(2/((2*x)-1)))+(-(2/(x-1))))
+A056205 = (None*integrate(A007070))
+A056205 = (None*differential(A007070))
+A322558 = ((None*(A007086+(-((-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(8*x^16)+(-(-(-(-(8*x^15)))))+(-(-(-(-(4*x^13)))))+(-(-(-(-(4*x^12)))))+(-(-(-(-(2*x^11)))))+(-(-(-(-(2*x^10)))))+(-(-(-(-x^9))))+(-(-(-(-x^8))))+(-(-(-(3*x^7))))+(-(-(-(4*x^6))))+(-(-(-(14*x^5))))+(-(-(-x^4)))+(-(-(-(6*x^3))))+(-(-(-(2*x^2))))+(-(-(-(4*x))))+(-(-(((1/49)*((((31*x^5)+(110*x^4)+(41*x^3)+(118*x^2))-(51*x))+24))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*((35*x^5)+(64*x^4)+(38*x^3)+(34*x^2)+(3*x)+8))/(x^6+x^5+x^4+x^3+x^2+x+1)^2)))+(-(-(129/49/(x-1))))+(-(50/49/(x-1)^2))+(-2))
+A056205 = (None*integrate((A007086+(-((-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A334514 = ((None*(A007086+(-((-(22*x^14))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-(8*x^16))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(1/(x^2+1)^2))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A335155 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A335155 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A335365 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A335365 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A335365 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A335365 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A338024 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A338024 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A338024 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A337120 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A339623 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A339760 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(53/(x-1))+(25/3/(x-1)^2)+45)))))
+A339751 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(25/3/(x-1)^2)+45))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(25/3/(x-1)^2)+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(25/3/(x-1)^2)+45)))))
+A339751 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+45))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+45)))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+45)))))
+A294718 = ((None*(A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2)))))+(-(4*x^2))+(-(17*x))+(-(100/(x-1)))+(-(103/(x-1)^2))+(-(100/(x-1)^3))+(-(102/(x-1)^4))+(-(82/(x-1)^5))+(-(39/(x-1)^6))+(-(8/(x-1)^7)))
+A056205 = (None*integrate((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2))))))
+A056205 = (None*differential((A007086+(-((-(22*x^14))+(-(-x^13))+(-(-(2*x^12)))+(-(-(24*x^11)))+(-(-(3*x^10)))+(-(-(2*x^9)))+(-(-(17*x^8)))+(-(4*x^7))+(-(5*x^6))+(-(5*x^5))+(-(24*x^4))+(-(23*x^3))+(-(23*x^2))+(-(44*x))+(-(((1/3)*((21*x)+1))/(x^2+x+1)))+(53/(x-1))+(25/3/(x-1)^2))))))
+A056205 = (None*integrate(A007123))
+A056205 = (None*differential(A007123))
+A306423 = ((None*(A007123+(-((1/4)*sqrt((-(((2*x)+1)/((2*x)-1))))))))+(-(3*x^4))+(-((1/2)*x^2*(sqrt(((-(4*x))+1))+1)))+(-((1/2)*x*((3*sqrt(((-(4*x))+1)))-7)))+1)
+A056205 = (None*integrate((A007123+(-((1/4)*sqrt((-(((2*x)+1)/((2*x)-1)))))))))
+A056205 = (None*differential((A007123+(-((1/4)*sqrt((-(((2*x)+1)/((2*x)-1)))))))))
+A072100 = ((None*(A007123+(-(-((1/4)*sqrt(((-(4*x))+1)))))))+(-(((1/2)*(sqrt((-(((2*x)+1)/((2*x)-1))))-1))/(x-1)))+(-(1/2)))
+A056205 = (None*integrate((A007123+(-(-((1/4)*sqrt(((-(4*x))+1))))))))
+A056205 = (None*differential((A007123+(-(-((1/4)*sqrt(((-(4*x))+1))))))))
+A331420 = ((None*(A007179+(-(-(1/2/((2*x)-1))))))+((x+5)/((2*x^2)-1)^2)+((2*((2*x)+5))/((2*x^2)-1)^3)+((2*((3*x)+5))/((2*x^2)-1)^4)+(((4*x)+5)/((2*x^2)-1)^5)+((x+1)/((2*x^2)-1)^6))
+A056205 = (None*integrate((A007179+(-(-(1/2/((2*x)-1)))))))
+A056205 = (None*differential((A007179+(-(-(1/2/((2*x)-1)))))))
+A339760 = (((-1)*differential((A007179+(-(1/2/((2*x^2)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339751 = ((None*(A007202+(-((1/8/(x+1))+(49/4/(x-1)^2)+(63/2/(x-1)^3)+(21/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007202+(-((1/8/(x+1))+(49/4/(x-1)^2)+(63/2/(x-1)^3)+(21/(x-1)^4))))))
+A056205 = (None*differential((A007202+(-((1/8/(x+1))+(49/4/(x-1)^2)+(63/2/(x-1)^3)+(21/(x-1)^4))))))
+A339751 = ((None*(A007202+(-((1/8/(x+1))+(7/8/(x-1))+(63/2/(x-1)^3)+(21/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007202+(-((1/8/(x+1))+(7/8/(x-1))+(63/2/(x-1)^3)+(21/(x-1)^4))))))
+A056205 = (None*differential((A007202+(-((1/8/(x+1))+(7/8/(x-1))+(63/2/(x-1)^3)+(21/(x-1)^4))))))
+A339623 = ((None*(A007202+(-((1/8/(x+1))+(7/8/(x-1))+(49/4/(x-1)^2)+(21/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007202+(-((1/8/(x+1))+(7/8/(x-1))+(49/4/(x-1)^2)+(21/(x-1)^4))))))
+A056205 = (None*differential((A007202+(-((1/8/(x+1))+(7/8/(x-1))+(49/4/(x-1)^2)+(21/(x-1)^4))))))
+A338588 = (((36/7)*(A007202+(-((1/8/(x+1))+(7/8/(x-1))+(49/4/(x-1)^2)+(63/2/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007202+(-((1/8/(x+1))+(7/8/(x-1))+(49/4/(x-1)^2)+(63/2/(x-1)^3))))))
+A056205 = (None*differential((A007202+(-((1/8/(x+1))+(7/8/(x-1))+(49/4/(x-1)^2)+(63/2/(x-1)^3))))))
+A339623 = (((-(7/24))*differential((A007204+(-((-(1/(x-1)))+(-(120/(x-1)^3))+(-(192/(x-1)^4))+(-(96/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(192/(x-1)^4))+(-(96/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(192/(x-1)^4))+(-(96/(x-1)^5)))))))
+A056205 = (None*differential((A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(192/(x-1)^4))+(-(96/(x-1)^5)))))))
+A338588 = ((None*(A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(120/(x-1)^3))+(-(96/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(120/(x-1)^3))+(-(96/(x-1)^5)))))))
+A056205 = (None*differential((A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(120/(x-1)^3))+(-(96/(x-1)^5)))))))
+A337962 = ((None*(A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(120/(x-1)^3))+(-(192/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(120/(x-1)^3))+(-(192/(x-1)^4)))))))
+A056205 = (None*differential((A007204+(-((-(1/(x-1)))+(-(24/(x-1)^2))+(-(120/(x-1)^3))+(-(192/(x-1)^4)))))))
+A056205 = (None*integrate(A007226))
+A056205 = (None*differential(A007226))
+A056205 = (None*integrate((A007272+(-(32/(sqrt(((-(4*x))+1))+3))))))
+A056205 = (None*differential((A007272+(-(32/(sqrt(((-(4*x))+1))+3))))))
+A056205 = (None*integrate((A007272+(-((2*((18*x)-(3*sqrt(((-(4*x))+1)))-5))/(((x*(sqrt(((-(4*x))+1))+3))-sqrt(((-(4*x))+1))-1)*(sqrt(((-(4*x))+1))+3)))))))
+A056205 = (None*differential((A007272+(-((2*((18*x)-(3*sqrt(((-(4*x))+1)))-5))/(((x*(sqrt(((-(4*x))+1))+3))-sqrt(((-(4*x))+1))-1)*(sqrt(((-(4*x))+1))+3)))))))
+A339760 = ((0.6666666666666666*A007283)+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/6))*differential(A007283))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((7/6)*differential((A007290+(-((2/(x-1))+(6/(x-1)^3)+(2/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/3))*(A007290+(-((2/(x-1))+(6/(x-1)^2)+(2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007290+(-((2/(x-1))+(6/(x-1)^2)+(2/(x-1)^4))))))
+A056205 = (None*differential((A007290+(-((2/(x-1))+(6/(x-1)^2)+(2/(x-1)^4))))))
+A338588 = ((54*(A007290+(-((2/(x-1))+(6/(x-1)^2)+(6/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((4714*differential((A007290+(-((2/(x-1))+(6/(x-1)^2)+(6/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((14/9)*(A007291+(-((-(46/(x-1)^4))+(-(44/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007291+(-((-(46/(x-1)^4))+(-(44/(x-1)^5)))))))
+A056205 = (None*differential((A007291+(-((-(46/(x-1)^4))+(-(44/(x-1)^5)))))))
+A338588 = ((None*(A007291+(-((-(9/(x-1)^3))+(-(44/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007291+(-((-(9/(x-1)^3))+(-(44/(x-1)^5)))))))
+A056205 = (None*differential((A007291+(-((-(9/(x-1)^3))+(-(44/(x-1)^5)))))))
+A337962 = (((9428/11)*(A007291+(-((-(9/(x-1)^3))+(-(46/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007291+(-((-(9/(x-1)^3))+(-(46/(x-1)^4)))))))
+A056205 = (None*differential((A007291+(-((-(9/(x-1)^3))+(-(46/(x-1)^4)))))))
+A277969 = ((None*(A007317+(-(3/2))))+((1/2)*x^2*(sqrt((((5*x)-1)/(x-1)))-1))+(-(-((3/2)*x*(sqrt((((5*x)-1)/(x-1)))-1))))+(-(((1/2)*(sqrt((((5*x)-1)/(x-1)))-1))/x))+(-(3/2)))
+A056205 = (None*integrate((A007317+(-(3/2)))))
+A056205 = (None*differential((A007317+(-(3/2)))))
+A056205 = (None*integrate((A007317+(-(-((1/2)*sqrt((((5*x)-1)/(x-1)))))))))
+A056205 = (None*differential((A007317+(-(-((1/2)*sqrt((((5*x)-1)/(x-1)))))))))
+A056205 = (None*integrate((A007333+(-((-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A338717 = ((None*(A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A339751 = ((None*(A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A338544 = ((None*(A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A339751 = ((None*(A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A336974 = ((None*(A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5))))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A339623 = ((None*(A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(83/128/(x-1)^4))+(-(7/64/(x-1)^5)))))))
+A338588 = ((None*(A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(7/64/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(7/64/(x-1)^5)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(7/64/(x-1)^5)))))))
+A337962 = ((None*(A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4)))))))
+A056205 = (None*differential((A007333+(-((((1/64)*((11*x)-31))/(x^2+1))+(-(-(((1/32)*((9*x)-17))/(x^2+1)^2)))+(-(-(167/1024/(x+1))))+(-(-(1033/1024/(x-1))))+(-(((1/16)*((2*x)-3))/(x^2+1)^3))+(-(61/512/(x+1)^2))+(-(229/128/(x-1)^2))+(-(7/256/(x+1)^3))+(-(49/32/(x-1)^3))+(-(83/128/(x-1)^4)))))))
+A056205 = (None*integrate(A007345))
+A056205 = (None*differential(A007345))
+A007385 = ((None*(A007380+(-(-1))))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))
+A056205 = (None*integrate((A007380+(-(-1)))))
+A056205 = (None*differential((A007380+(-(-1)))))
+A339760 = ((1*(A007380+(-(-((x^6+x^4+x^2+x+1)/((x^7+x^2)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A007380+(-(-((x^6+x^4+x^2+x+1)/((x^7+x^2)-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A007386 = ((None*(A007381+(-(-1))))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))
+A056205 = (None*integrate((A007381+(-(-1)))))
+A056205 = (None*differential((A007381+(-(-1)))))
+A339760 = ((1*(A007381+(-(-((x^8+x^6+x^4+x^2+x+1)/((x^9+x^2)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A007381+(-(-((x^8+x^6+x^4+x^2+x+1)/((x^9+x^2)-1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A305412 = ((None*(A007382+(-((-(-(1/4/(x+1))))+(-(-(7/4/(x-1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1)))))+(-(((1/5)*(x+1))/((x^2-(3*x))+1)))+(-(1/5/(x+1))))
+A056205 = (None*integrate((A007382+(-((-(-(1/4/(x+1))))+(-(-(7/4/(x-1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A007382+(-((-(-(1/4/(x+1))))+(-(-(7/4/(x-1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1))))))
+A338717 = ((None*(A007382+(-(((x+1)/((x^2+x)-1))+(-(-(7/4/(x-1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007382+(-(((x+1)/((x^2+x)-1))+(-(-(7/4/(x-1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A007382+(-(((x+1)/((x^2+x)-1))+(-(-(7/4/(x-1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1))))))
+A339751 = ((None*(A007382+(-(((x+1)/((x^2+x)-1))+(-(-(1/4/(x+1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007382+(-(((x+1)/((x^2+x)-1))+(-(-(1/4/(x+1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A007382+(-(((x+1)/((x^2+x)-1))+(-(-(1/4/(x+1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))+(-1))))))
+A338544 = ((None*(A007382+(-(((x+1)/((x^2+x)-1))+(-(-(1/4/(x+1))))+(-(-(7/4/(x-1))))+(-(1/4/(x-1)^2))+(-1)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007382+(-(((x+1)/((x^2+x)-1))+(-(-(1/4/(x+1))))+(-(-(7/4/(x-1))))+(-(1/4/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A007382+(-(((x+1)/((x^2+x)-1))+(-(-(1/4/(x+1))))+(-(-(7/4/(x-1))))+(-(1/4/(x-1)^2))+(-1))))))
+A339760 = ((1*(A007382+(-(((x+1)/((x^2+x)-1))+(-(-(1/4/(x+1))))+(-(-(7/4/(x-1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A007382+(-(((x+1)/((x^2+x)-1))+(-(-(1/4/(x+1))))+(-(-(7/4/(x-1))))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A278137 = ((None*(A007383+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2))))))+(-((2*(x+1))/((x^2+x)-1))))
+A056205 = (None*integrate((A007383+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*differential((A007383+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))
+A338544 = ((None*(A007383+(-((-((x^2+x+1)/((x^3+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007383+(-((-((x^2+x+1)/((x^3+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*differential((A007383+(-((-((x^2+x+1)/((x^3+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*integrate((A007384+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*differential((A007384+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))
+A338544 = ((None*(A007384+(-((-((x^4+x^2+x+1)/((x^5+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007384+(-((-((x^4+x^2+x+1)/((x^5+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*differential((A007384+(-((-((x^4+x^2+x+1)/((x^5+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*integrate((A007385+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*differential((A007385+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))
+A338544 = ((None*(A007385+(-((-((x^6+x^4+x^2+x+1)/((x^7+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007385+(-((-((x^6+x^4+x^2+x+1)/((x^7+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*differential((A007385+(-((-((x^6+x^4+x^2+x+1)/((x^7+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*integrate((A007386+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*differential((A007386+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x+1)^2))+(-(1/4/(x-1)^2)))))))
+A338544 = ((None*(A007386+(-((-((x^8+x^6+x^4+x^2+x+1)/((x^9+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007386+(-((-((x^8+x^6+x^4+x^2+x+1)/((x^9+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2)))))))
+A056205 = (None*differential((A007386+(-((-((x^8+x^6+x^4+x^2+x+1)/((x^9+x^2)-1)))+(-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/4/(x-1)^2)))))))
+A337120 = (((-1.333333333333333)*(A007387+(-((-(((3*x^2)-5)/((x^5+x^2)-1)))+(-5)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1111111111111111*differential((A007387+(-((-(((3*x^2)-5)/((x^5+x^2)-1)))+(-5))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A007392 = ((None*(A007387+(-((3*x^3)+(-5)))))+(3*x^3)+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3))
+A056205 = (None*integrate((A007387+(-((3*x^3)+(-5))))))
+A056205 = (None*differential((A007387+(-((3*x^3)+(-5))))))
+A336867 = ((1*(A007387+(-((3*x^3)+(-(((3*x^2)-5)/((x^5+x^2)-1)))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A007387+(-((3*x^3)+(-(((3*x^2)-5)/((x^5+x^2)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((None*(A007388+(-((-(3*x^3))+(-(((5*x^2)-7)/((x^7+x^2)-1)))+(-7)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007388+(-((-(3*x^3))+(-(((5*x^2)-7)/((x^7+x^2)-1)))+(-7))))))
+A056205 = (None*differential((A007388+(-((-(3*x^3))+(-(((5*x^2)-7)/((x^7+x^2)-1)))+(-7))))))
+A337120 = ((None*(A007388+(-((5*x^5)+(-(((5*x^2)-7)/((x^7+x^2)-1)))+(-7)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A007388+(-((5*x^5)+(-(((5*x^2)-7)/((x^7+x^2)-1)))+(-7))))))
+A056205 = (None*differential((A007388+(-((5*x^5)+(-(((5*x^2)-7)/((x^7+x^2)-1)))+(-7))))))
+A007393 = ((None*(A007388+(-((5*x^5)+(-(3*x^3))+(-7)))))+(5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))
+A056205 = (None*integrate((A007388+(-((5*x^5)+(-(3*x^3))+(-7))))))
+A056205 = (None*differential((A007388+(-((5*x^5)+(-(3*x^3))+(-7))))))
+A335155 = ((1*(A007388+(-((5*x^5)+(-(3*x^3))+(-(((5*x^2)-7)/((x^7+x^2)-1)))))))+(-x^12)+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2)))
+A339760 = (((-0.1428571428571428)*integrate((A007388+(-((5*x^5)+(-(3*x^3))+(-(((5*x^2)-7)/((x^7+x^2)-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335365 = ((None*(A007389+(-((-(5*x^5))+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007389+(-((-(5*x^5))+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9))))))
+A056205 = (None*differential((A007389+(-((-(5*x^5))+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9))))))
+A338024 = ((None*(A007389+(-((7*x^7)+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007389+(-((7*x^7)+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9))))))
+A056205 = (None*differential((A007389+(-((7*x^7)+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9))))))
+A337120 = ((None*(A007389+(-((7*x^7)+(-(5*x^5))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A007389+(-((7*x^7)+(-(5*x^5))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9))))))
+A056205 = (None*differential((A007389+(-((7*x^7)+(-(5*x^5))+(-(((7*x^2)-9)/((x^9+x^2)-1)))+(-9))))))
+A007394 = ((None*(A007389+(-((7*x^7)+(-(5*x^5))+(-(3*x^3))+(-9)))))+(7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))
+A056205 = (None*integrate((A007389+(-((7*x^7)+(-(5*x^5))+(-(3*x^3))+(-9))))))
+A056205 = (None*differential((A007389+(-((7*x^7)+(-(5*x^5))+(-(3*x^3))+(-9))))))
+A330395 = ((1*(A007389+(-((7*x^7)+(-(5*x^5))+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1)))))))+(2*x^4)+(-(-(5*x^3)))+(-(-(4*x^2)))+(-(-x))+(-(-(19/(x-1))))+(-(-(11/(x-1)^2)))+(-(1/(x-1)^4)))
+A056205 = (None*integrate((A007389+(-((7*x^7)+(-(5*x^5))+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1))))))))
+A056205 = (None*differential((A007389+(-((7*x^7)+(-(5*x^5))+(-(3*x^3))+(-(((7*x^2)-9)/((x^9+x^2)-1))))))))
+A339760 = ((1*(A007390+(-((-(-((x-2)/((x^2+x)-1))))+(-(-(3/2/(x+1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A007390+(-((-(-((x-2)/((x^2+x)-1))))+(-(-(3/2/(x+1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339610 = ((None*(A007390+(-(x+(-(-(3/2/(x+1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+1))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A056205 = (None*integrate((A007390+(-(x+(-(-(3/2/(x+1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+1)))))
+A056205 = (None*differential((A007390+(-(x+(-(-(3/2/(x+1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+1)))))
+A338717 = ((None*(A007390+(-(x+(-(-((x-2)/((x^2+x)-1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+1))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007390+(-(x+(-(-((x-2)/((x^2+x)-1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+1)))))
+A056205 = (None*differential((A007390+(-(x+(-(-((x-2)/((x^2+x)-1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+1)))))
+A339623 = (((-14)*differential((A007390+(-(x+(-(-((x-2)/((x^2+x)-1))))+(-(-(3/2/(x+1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = (((-1)*(A007390+(-(x+(-(-((x-2)/((x^2+x)-1))))+(-(-(3/2/(x+1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A007390+(-(x+(-(-((x-2)/((x^2+x)-1))))+(-(-(3/2/(x+1))))+(-(3/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A007391+(-((-(-((x^2-3)/((x^3+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A007391+(-((-(-((x^2-3)/((x^3+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A303226 = ((None*(A007391+(-(x+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-1)))))+(-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-((2*((2*x)+3))/(x^3-x-1)))+(-12))
+A056205 = (None*integrate((A007391+(-(x+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A007391+(-(x+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-1))))))
+A338717 = ((None*(A007391+(-(x+(-(-((x^2-3)/((x^3+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007391+(-(x+(-(-((x^2-3)/((x^3+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A007391+(-(x+(-(-((x^2-3)/((x^3+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-1))))))
+A339623 = (((-14)*differential((A007391+(-(x+(-(-((x^2-3)/((x^3+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A007391+(-(x+(-(-((x^2-3)/((x^3+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A007391+(-(x+(-(-((x^2-3)/((x^3+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-1.333333333333333)*(A007392+(-((-(-x))+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.1111111111111111*differential((A007392+(-((-(-x))+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((1*(A007392+(-((3*x^3)+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A007392+(-((3*x^3)+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A007392+(-((3*x^3)+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3))))))
+A056205 = (None*differential((A007392+(-((3*x^3)+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3))))))
+A338717 = ((None*(A007392+(-((3*x^3)+(-(-x))+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007392+(-((3*x^3)+(-(-x))+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3))))))
+A056205 = (None*differential((A007392+(-((3*x^3)+(-(-x))+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-3))))))
+A339623 = (((-14)*differential((A007392+(-((3*x^3)+(-(-x))+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339198 = ((1*(A007392+(-((3*x^3)+(-(-x))+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = (((-0.3333333333333333)*integrate((A007392+(-((3*x^3)+(-(-x))+(-(-(((3*x^2)-5)/((x^5+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((None*(A007393+(-((-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007393+(-((-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))
+A056205 = (None*differential((A007393+(-((-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))
+A337120 = ((None*(A007393+(-((5*x^5)+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A007393+(-((5*x^5)+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))
+A056205 = (None*differential((A007393+(-((5*x^5)+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))
+A339760 = ((1*(A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))
+A056205 = (None*differential((A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))
+A338717 = ((None*(A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))
+A056205 = (None*differential((A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-5))))))
+A339623 = (((-14)*differential((A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A336867 = ((1*(A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A007393+(-((5*x^5)+(-(-(3*x^3)))+(-(-x))+(-(-(((5*x^2)-7)/((x^7+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335365 = ((None*(A007394+(-((-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007394+(-((-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A056205 = (None*differential((A007394+(-((-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A338024 = ((None*(A007394+(-((7*x^7)+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007394+(-((7*x^7)+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A056205 = (None*differential((A007394+(-((7*x^7)+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A337120 = ((None*(A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A056205 = (None*differential((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A339760 = ((1*(A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A056205 = (None*differential((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A338717 = ((None*(A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A056205 = (None*differential((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))+(-7))))))
+A339623 = (((-14)*differential((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A335155 = ((1*(A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2))))))+(-x^12)+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2)))
+A339760 = (((-0.1428571428571428)*integrate((A007394+(-((7*x^7)+(-(-(5*x^5)))+(-(-(3*x^3)))+(-(-x))+(-(-(((7*x^2)-9)/((x^9+x^2)-1))))+(-(-(3/2/(x+1))))+(-(1/2/(x-1)))+(-(1/2/(x+1)^2))+(-(1/2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007403+(-(-(((1/8)*((3*sqrt(((-(8*x))+1)))-4))/((8*x)-1)^2))))))
+A056205 = (None*differential((A007403+(-(-(((1/8)*((3*sqrt(((-(8*x))+1)))-4))/((8*x)-1)^2))))))
+A056205 = (None*integrate((A007403+(-(-(((1/8)*((3*sqrt(((-(8*x))+1)))+4))/((8*x)-1)))))))
+A056205 = (None*differential((A007403+(-(-(((1/8)*((3*sqrt(((-(8*x))+1)))+4))/((8*x)-1)))))))
+A056205 = (None*integrate(A007420))
+A056205 = (None*differential(A007420))
+A056205 = (None*integrate(A007426))
+A056205 = (None*differential(A007426))
+A056205 = (None*integrate(A007432))
+A056205 = (None*differential(A007432))
+A056205 = (None*integrate((A007450+(-(-(9/2/(x-1)))))))
+A056205 = (None*differential((A007450+(-(-(9/2/(x-1)))))))
+A056205 = (None*integrate(A007455))
+A056205 = (None*differential(A007455))
+A290034 = ((None*(A007465+(-((-(3/8/((2*x)-1)))+(-(1/4/((2*x)-1)^3))))))+(-(1/120/((6*x)-1)))+(-(-(-(1/30/((5*x)-1)))))+(-(-(-(5/96/((4*x)-1)))))+(-(-(1/27/((3*x)-1))))+(-(-(1/48/((2*x)-1))))+(-(-(11/30/(x-1))))+(-(-(1/120/((5*x)-1)^2)))+(-(1/48/((4*x)-1)^2))+(-(1/36/((3*x)-1)^2))+(-(1/24/((2*x)-1)^2))+(-(53/24/(x-1)^2))+(-(1/96/((4*x)-1)^3))+(-(1/8/((2*x)-1)^3))+(-(16/3/(x-1)^3))+(-(1/54/((3*x)-1)^4))+(-(1/8/((2*x)-1)^4))+(-(13/2/(x-1)^4))+(-(4/(x-1)^5))+(-(1/(x-1)^6)))
+A056205 = (None*integrate((A007465+(-((-(3/8/((2*x)-1)))+(-(1/4/((2*x)-1)^3)))))))
+A056205 = (None*differential((A007465+(-((-(3/8/((2*x)-1)))+(-(1/4/((2*x)-1)^3)))))))
+A337631 = (((-4)*differential((A007466+(-((-(1/4/((2*x)-1)))+(-(1/4/((2*x)-1)^3))+(-(1/4)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A056205 = (None*integrate(A007477))
+A056205 = (None*differential(A007477))
+A056205 = (None*integrate(A007481))
+A056205 = (None*differential(A007481))
+A301699 = ((None*A007482)+(-(((1/3)*x)/((2*x^2)-1))))
+A056205 = (None*integrate(A007482))
+A056205 = (None*differential(A007482))
+A271804 = ((None*A007483)+(-(-(4/((4*x)-1))))+(-(4/((2*x)-1)))+(-(1/(x-1)))+1)
+A056205 = (None*integrate(A007483))
+A056205 = (None*differential(A007483))
+A238173 = ((None*A007484)+(-((3*(((4*x^2)+x)-3))/(((12*x^3)-(3*x^2)-(6*x))+1)))+(-(2/(x-1)))+(-19))
+A056205 = (None*integrate(A007484))
+A056205 = (None*differential(A007484))
+A339623 = (((-7)*differential((A007487+(-((-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A338588 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A337962 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A337962 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A337962 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A337962 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A337962 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(1814400/(x-1)^10))+(-(362880/(x-1)^11)))))))
+A337406 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(362880/(x-1)^11))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(362880/(x-1)^11)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(362880/(x-1)^11)))))))
+A337406 = ((None*(A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10)))))))
+A056205 = (None*differential((A007487+(-((-(1/(x-1)^2))+(-(511/(x-1)^3))+(-(18660/(x-1)^4))+(-(204630/(x-1)^5))+(-(1020600/(x-1)^6))+(-(2739240/(x-1)^7))+(-(4233600/(x-1)^8))+(-(3780000/(x-1)^9))+(-(1814400/(x-1)^10)))))))
+A338192 = ((1*(A007492+(-((-(1/(x+1)))+1))))+(-(x^2/((x^3+x^2+x)-1))))
+A339760 = (((-1)*(A007492+(-((-(x/((x^2+x)-1)))+(-(1/(x+1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A007492+(-((-(x/((x^2+x)-1)))+(-(1/(x+1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((14/3)*differential((A007494+(-((-(1/4/(x+1)))+(5/4/(x-1)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339610 = ((3*(A007502+(-(((3*x)-1)/((x^2+x)-1)^2))))+(-(((7*x)-4)/((x^2+x)-1)^2))+(-2))
+A324129 = ((None*(A007502+(-((x-2)/((x^2+x)-1)))))+((x-1)/((x^2+x)-1))+(-(1/2/(x+1)))+(-(1/2/(x-1))))
+A056205 = (None*integrate((A007502+(-((x-2)/((x^2+x)-1))))))
+A056205 = (None*differential((A007502+(-((x-2)/((x^2+x)-1))))))
+A339623 = ((None*(A007518+(-((-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2))+(3/2/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007518+(-((-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2))+(3/2/(x-1)^4))))))
+A056205 = (None*differential((A007518+(-((-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2))+(3/2/(x-1)^4))))))
+A337962 = (((18856/3)*differential((A007518+(-((-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2))+(3/4/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/6)*differential((A007531+(-((12/(x-1)^3)+(6/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((-(7/6))*(A007531+(-((6/(x-1)^2)+(6/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-3)*differential((A007531+(-((6/(x-1)^2)+(6/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((18*(A007531+(-((6/(x-1)^2)+(12/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = ((7*integrate((A007531+(-((6/(x-1)^2)+(12/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((4714/3)*differential((A007531+(-((6/(x-1)^2)+(12/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A007533+(-((-(13/(x-1)))+(-(50/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007533+(-((-(13/(x-1)))+(-(50/(x-1)^3)))))))
+A056205 = (None*differential((A007533+(-((-(13/(x-1)))+(-(50/(x-1)^3)))))))
+A339623 = (((7/25)*(A007533+(-((-(13/(x-1)))+(-(61/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/25)*differential((A007533+(-((-(13/(x-1)))+(-(61/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007564+(-(1/3)))))
+A056205 = (None*differential((A007564+(-(1/3)))))
+A056205 = (None*integrate((A007564+(-(-(((1/6)*(sqrt((((4*x^2)-(8*x))+1))-1))/x))))))
+A056205 = (None*differential((A007564+(-(-(((1/6)*(sqrt((((4*x^2)-(8*x))+1))-1))/x))))))
+A339760 = (((-1)*differential((A007581+(-((-(1/6/((4*x)-1)))+(-(1/3/(x-1))))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = (((-1)*differential((A007582+(-(-(1/2/((4*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339240 = ((None*(A007583+(-(-(1/3/(x-1))))))+(x/((-(4*x))+1)^1.5)+(1/4/((4*x)-1)^2))
+A056205 = (None*integrate((A007583+(-(-(1/3/(x-1)))))))
+A056205 = (None*differential((A007583+(-(-(1/3/(x-1)))))))
+A339623 = (((7/6)*differential((A007584+(-((13/(x-1)^3)+(7/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A007584+(-((6/(x-1)^2)+(7/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007584+(-((6/(x-1)^2)+(7/(x-1)^4))))))
+A056205 = (None*differential((A007584+(-((6/(x-1)^2)+(7/(x-1)^4))))))
+A338588 = (((108/7)*(A007584+(-((6/(x-1)^2)+(13/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((9428/7)*differential((A007584+(-((6/(x-1)^2)+(13/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = ((1*differential((A007585+(-((15/(x-1)^3)+(8/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A007585+(-((7/(x-1)^2)+(8/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007585+(-((7/(x-1)^2)+(8/(x-1)^4))))))
+A056205 = (None*differential((A007585+(-((7/(x-1)^2)+(8/(x-1)^4))))))
+A338588 = (((27/2)*(A007585+(-((7/(x-1)^2)+(15/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((2357/2)*differential((A007585+(-((7/(x-1)^2)+(15/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/8)*differential((A007586+(-((17/(x-1)^3)+(9/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A007586+(-((8/(x-1)^2)+(9/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007586+(-((8/(x-1)^2)+(9/(x-1)^4))))))
+A056205 = (None*differential((A007586+(-((8/(x-1)^2)+(9/(x-1)^4))))))
+A338588 = ((12*(A007586+(-((8/(x-1)^2)+(17/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339623 = (((14/3)*integrate((A007586+(-((8/(x-1)^2)+(17/(x-1)^3))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = (((9428/9)*differential((A007586+(-((8/(x-1)^2)+(17/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339623 = (((7/9)*differential((A007587+(-((19/(x-1)^3)+(10/(x-1)^4))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A007587+(-((9/(x-1)^2)+(10/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007587+(-((9/(x-1)^2)+(10/(x-1)^4))))))
+A056205 = (None*differential((A007587+(-((9/(x-1)^2)+(10/(x-1)^4))))))
+A338588 = (((54/5)*(A007587+(-((9/(x-1)^2)+(19/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((4714/5)*differential((A007587+(-((9/(x-1)^2)+(19/(x-1)^3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007588+(-((1/(x-1))+(24/(x-1)^3)+(12/(x-1)^4))))))
+A056205 = (None*differential((A007588+(-((1/(x-1))+(24/(x-1)^3)+(12/(x-1)^4))))))
+A339623 = (((-(7/12))*(A007588+(-((1/(x-1))+(13/(x-1)^2)+(12/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007588+(-((1/(x-1))+(13/(x-1)^2)+(12/(x-1)^4))))))
+A056205 = (None*differential((A007588+(-((1/(x-1))+(13/(x-1)^2)+(12/(x-1)^4))))))
+A338588 = ((9*(A007588+(-((1/(x-1))+(13/(x-1)^2)+(24/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007588+(-((1/(x-1))+(13/(x-1)^2)+(24/(x-1)^3))))))
+A056205 = (None*differential((A007588+(-((1/(x-1))+(13/(x-1)^2)+(24/(x-1)^3))))))
+A339623 = ((None*(A007589+(-((-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A007589+(-((-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140))))))
+A056205 = (None*differential((A007589+(-((-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140))))))
+A339760 = ((None*(A007589+(-((-(24*x^2))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007589+(-((-(24*x^2))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140))))))
+A056205 = (None*differential((A007589+(-((-(24*x^2))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140))))))
+A339751 = ((None*(A007589+(-((-(24*x^2))+(-(73*x))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007589+(-((-(24*x^2))+(-(73*x))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140))))))
+A056205 = (None*differential((A007589+(-((-(24*x^2))+(-(73*x))+(-(138/(x-1)^2))+(-(36/(x-1)^3))+(-140))))))
+A339751 = ((None*(A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(36/(x-1)^3))+(-140)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(36/(x-1)^3))+(-140))))))
+A056205 = (None*differential((A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(36/(x-1)^3))+(-140))))))
+A339623 = ((None*(A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-140)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-140))))))
+A056205 = (None*differential((A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-140))))))
+A326781 = ((None*(A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3))))))+((32*((x^7+x^6+x^5+x^4+x^3+x^2+x)-1))/(x^8+1))+(-((16*((x^3+x^2+x)-1))/(x^4+1)))+(-((8*(x-1))/(x^2+1)))+(-(6/(x+1)))+(94/(x-1))+(16/(x-1)^2))
+A056205 = (None*integrate((A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3)))))))
+A056205 = (None*differential((A007589+(-((-(24*x^2))+(-(73*x))+(-(242/(x-1)))+(-(138/(x-1)^2))+(-(36/(x-1)^3)))))))
+A339623 = (((-(14/3))*differential((A007590+(-((1/4/(x+1))+(-(1/4/(x-1)))+(-(1/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((14*(A007590+(-((1/4/(x+1))+(-(1/4/(x-1)))+(-(3/2/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A007590+(-((1/4/(x+1))+(-(1/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007595+(-(-(1/2))))))
+A056205 = (None*differential((A007595+(-(-(1/2))))))
+A338717 = ((None*(A007598+(-(-(((1/5)*((3*x)-2))/((x^2-(3*x))+1))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007598+(-(-(((1/5)*((3*x)-2))/((x^2-(3*x))+1)))))))
+A056205 = (None*differential((A007598+(-(-(((1/5)*((3*x)-2))/((x^2-(3*x))+1)))))))
+A311101 = ((None*(A007612+(-((1/4/(x+1))+(27/4/(x-1))+(9/2/(x-1)^2)))))+(-x^4)+(-x^3)+(-x^2)+(4/(x-1))+(4/(x-1)^2)+2)
+A056205 = (None*integrate((A007612+(-((1/4/(x+1))+(27/4/(x-1))+(9/2/(x-1)^2))))))
+A056205 = (None*differential((A007612+(-((1/4/(x+1))+(27/4/(x-1))+(9/2/(x-1)^2))))))
+A339751 = ((None*(A007612+(-((-((3*(x-1))/((x^2-x)+1)))+(1/4/(x+1))+(9/2/(x-1)^2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007612+(-((-((3*(x-1))/((x^2-x)+1)))+(1/4/(x+1))+(9/2/(x-1)^2))))))
+A056205 = (None*differential((A007612+(-((-((3*(x-1))/((x^2-x)+1)))+(1/4/(x+1))+(9/2/(x-1)^2))))))
+A339751 = ((None*(A007612+(-((-((3*(x-1))/((x^2-x)+1)))+(1/4/(x+1))+(27/4/(x-1))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007612+(-((-((3*(x-1))/((x^2-x)+1)))+(1/4/(x+1))+(27/4/(x-1)))))))
+A056205 = (None*differential((A007612+(-((-((3*(x-1))/((x^2-x)+1)))+(1/4/(x+1))+(27/4/(x-1)))))))
+A335332 = ((None*(A007613+(-(2/3/(x+1)))))+(224*x)+(-(-(((8/5)*((59*x)-11))/(x^2+1))))+(-(-(32/5/((2*x)+1))))+(-(-(32/15/((2*x)-1))))+(-(265/3/(x+1)))+(-(58/(x-1)))+(-44))
+A056205 = (None*integrate((A007613+(-(2/3/(x+1))))))
+A056205 = (None*differential((A007613+(-(2/3/(x+1))))))
+A338717 = ((None*(A007613+(-(-(1/3/((8*x)-1))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007613+(-(-(1/3/((8*x)-1)))))))
+A056205 = (None*differential((A007613+(-(-(1/3/((8*x)-1)))))))
+A056205 = (None*integrate((A007654+(-((-(1/2/(x-1)))+(-3))))))
+A056205 = (None*differential((A007654+(-((-(1/2/(x-1)))+(-3))))))
+A339198 = ((1*(A007654+(-((-(((1/2)*((97*x)-7))/((x^2-(14*x))+1)))+(-(1/2/(x-1)))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = (((-0.3333333333333333)*integrate((A007654+(-((-(((1/2)*((97*x)-7))/((x^2-(14*x))+1)))+(-(1/2/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A011945 = ((None*(A007655+(-1)))+6)
+A056205 = (None*integrate((A007655+(-1))))
+A056205 = (None*differential((A007655+(-1))))
+A339760 = (((-1)*(A007655+(-(((14*x)-1)/((x^2-(14*x))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A007655+(-(((14*x)-1)/((x^2-(14*x))+1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007667+(-((-(5/4/(x-1)))+(-5))))))
+A056205 = (None*differential((A007667+(-((-(5/4/(x-1)))+(-5))))))
+A339751 = ((None*(A007667+(-((-(((15/4)*((97*x)-1))/((x^2-(98*x))+1)))+(-5)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007667+(-((-(((15/4)*((97*x)-1))/((x^2-(98*x))+1)))+(-5))))))
+A056205 = (None*differential((A007667+(-((-(((15/4)*((97*x)-1))/((x^2-(98*x))+1)))+(-5))))))
+A336867 = ((1*(A007667+(-((-(((15/4)*((97*x)-1))/((x^2-(98*x))+1)))+(-(5/4/(x-1)))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A007667+(-((-(((15/4)*((97*x)-1))/((x^2-(98*x))+1)))+(-(5/4/(x-1))))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338200 = ((None*(A007679+(-((-(1/2/((2*x)-1)))+(-(3/2))))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A007679+(-((-(1/2/((2*x)-1)))+(-(3/2)))))))
+A056205 = (None*differential((A007679+(-((-(1/2/((2*x)-1)))+(-(3/2)))))))
+A339760 = (((-1)*differential((A007679+(-((1/(x^2+1))+(-(3/2)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A056205 = (None*integrate((A007679+(-((1/(x^2+1))+(-(1/2/((2*x)-1))))))))
+A056205 = (None*differential((A007679+(-((1/(x^2+1))+(-(1/2/((2*x)-1))))))))
+A339760 = ((2*(A007689+(-(-(1/((3*x)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A007689+(-(-(1/((3*x)-1)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339623 = (((-(7/11))*differential((A007742+(-((-(3/(x-1)))+(-(8/(x-1)^3)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/4)*(A007742+(-((-(3/(x-1)))+(-(11/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((9/2)*differential((A007742+(-((-(3/(x-1)))+(-(11/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007750+(-(4/7/(x-1))))))
+A056205 = (None*differential((A007750+(-(4/7/(x-1))))))
+A339751 = ((None*(A007750+(-(-(((1/7)*(((4*x^3)+(11*x^2))-(11*x)-4))/((x^4-(16*x^2))+1))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007750+(-(-(((1/7)*(((4*x^3)+(11*x^2))-(11*x)-4))/((x^4-(16*x^2))+1)))))))
+A056205 = (None*differential((A007750+(-(-(((1/7)*(((4*x^3)+(11*x^2))-(11*x)-4))/((x^4-(16*x^2))+1)))))))
+A056205 = (None*integrate((A007751+(-(4/7/(x-1))))))
+A056205 = (None*differential((A007751+(-(4/7/(x-1))))))
+A339751 = ((None*(A007751+(-(-(((1/7)*((11*x)-4))/((x^2-(16*x))+1))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007751+(-(-(((1/7)*((11*x)-4))/((x^2-(16*x))+1)))))))
+A056205 = (None*differential((A007751+(-(-(((1/7)*((11*x)-4))/((x^2-(16*x))+1)))))))
+A056205 = (None*integrate((A007752+(-(4/7/(x-1))))))
+A056205 = (None*differential((A007752+(-(4/7/(x-1))))))
+A339751 = ((None*(A007752+(-(-(((1/7)*((53*x)-4))/((x^2-(16*x))+1))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007752+(-(-(((1/7)*((53*x)-4))/((x^2-(16*x))+1)))))))
+A056205 = (None*differential((A007752+(-(-(((1/7)*((53*x)-4))/((x^2-(16*x))+1)))))))
+A339760 = ((2*(A007758+(-((-(3/((2*x)-1)^2))+(-(2/((2*x)-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-(1/2))*differential((A007758+(-((-(3/((2*x)-1)^2))+(-(2/((2*x)-1)^3)))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A339760 = ((None*(A007758+(-((-(1/((2*x)-1)))+(-(2/((2*x)-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A056205 = (None*integrate((A007758+(-((-(1/((2*x)-1)))+(-(2/((2*x)-1)^3)))))))
+A056205 = (None*differential((A007758+(-((-(1/((2*x)-1)))+(-(2/((2*x)-1)^3)))))))
+A337631 = ((2*(A007758+(-((-(1/((2*x)-1)))+(-(3/((2*x)-1)^2))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A056205 = (None*integrate((A007758+(-((-(1/((2*x)-1)))+(-(3/((2*x)-1)^2)))))))
+A056205 = (None*differential((A007758+(-((-(1/((2*x)-1)))+(-(3/((2*x)-1)^2)))))))
+A338024 = ((None*(A007773+(-((-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007773+(-((-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007773+(-((-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A338024 = ((None*(A007773+(-((-(4*x^6))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007773+(-((-(4*x^6))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007773+(-((-(4*x^6))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A338024 = ((None*(A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A339760 = ((None*(A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A338717 = ((None*(A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A339751 = ((None*(A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A339751 = ((None*(A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(2/(x-1)^3))+(-(1/(x-1)^4))+(-5))))))
+A339623 = ((7*(A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(1/(x-1)^4))+(-5)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((18*differential((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(1/(x-1)^4))+(-5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-108)*(A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-5)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-9428)*differential((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-5))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A336867 = ((1*(A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A007773+(-((-(4*x^6))+(-(-(-(4*x^5))))+(-(-(-(2*x^4))))+(-(-(-x)))+(-(-(1/4/(x+1))))+(-(-(29/4/(x-1))))+(-(-(3/2/(x-1)^2)))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007775+(-((-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(45/8/(x-1))+(15/4/(x-1)^2)+1)))))
+A056205 = (None*differential((A007775+(-((-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(45/8/(x-1))+(15/4/(x-1)^2)+1)))))
+A339751 = ((None*(A007775+(-((((1/2)*((((3*x^3)+(3*x^2))-x)+1))/(x^4+1))+(-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(15/4/(x-1)^2)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007775+(-((((1/2)*((((3*x^3)+(3*x^2))-x)+1))/(x^4+1))+(-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(15/4/(x-1)^2)+1)))))
+A056205 = (None*differential((A007775+(-((((1/2)*((((3*x^3)+(3*x^2))-x)+1))/(x^4+1))+(-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(15/4/(x-1)^2)+1)))))
+A339751 = ((None*(A007775+(-((((1/2)*((((3*x^3)+(3*x^2))-x)+1))/(x^4+1))+(-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(45/8/(x-1))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007775+(-((((1/2)*((((3*x^3)+(3*x^2))-x)+1))/(x^4+1))+(-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(45/8/(x-1))+1)))))
+A056205 = (None*differential((A007775+(-((((1/2)*((((3*x^3)+(3*x^2))-x)+1))/(x^4+1))+(-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(45/8/(x-1))+1)))))
+A339760 = (((-1)*(A007775+(-((((1/2)*((((3*x^3)+(3*x^2))-x)+1))/(x^4+1))+(-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(45/8/(x-1))+(15/4/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A007775+(-((((1/2)*((((3*x^3)+(3*x^2))-x)+1))/(x^4+1))+(-(((1/4)*(x-1))/(x^2+1)))+(1/8/(x+1))+(45/8/(x-1))+(15/4/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A322558 = ((None*(A007780+(-((-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(8*x^16)+(-(-(-(-(8*x^15)))))+(-(-(-(-(4*x^13)))))+(-(-(-(-(4*x^12)))))+(-(-(-(-(2*x^11)))))+(-(-(-(-(2*x^10)))))+(-(-(-(-x^9))))+(-(-(-(-x^8))))+(-(-(-(3*x^7))))+(-(-(-(4*x^6))))+(-(-(-(14*x^5))))+(-(-(-x^4)))+(-(-(-(6*x^3))))+(-(-(-(2*x^2))))+(-(-(-(4*x))))+(-(-(((1/49)*((((31*x^5)+(110*x^4)+(41*x^3)+(118*x^2))-(51*x))+24))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*((35*x^5)+(64*x^4)+(38*x^3)+(34*x^2)+(3*x)+8))/(x^6+x^5+x^4+x^3+x^2+x+1)^2)))+(-(-(129/49/(x-1))))+(-(50/49/(x-1)^2))+(-2))
+A056205 = (None*integrate((A007780+(-((-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A334514 = ((None*(A007780+(-((6*x^14)+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(-(8*x^16))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(1/(x^2+1)^2))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A335155 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(-(-(2*x^11)))+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A335155 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(-x^12)+(-(-x^10))+(-(-(2*x^9)))+(-(-(3*x^8)))+(-(-(3*x^7)))+(-(-(3*x^6)))+(-(-(4*x^5)))+(-(-(4*x^4)))+(-(-(5*x^3)))+(-(-(6*x^2)))+(-(-(7*x)))+(-(-(((1/4)*(x-1))/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(45/8/(x-1))))+(-(5/4/(x-1)^2))+(-7))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A335365 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(5*x^9)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A335365 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(2*x^10)+(7*x^8)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A335365 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A335365 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A338024 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A338024 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A338024 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A339623 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A339760 = ((None*(A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-(((1/27)*((3*x)+2))/((3*x^2)-1)))+(-(2/27)))))))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(2/27)))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(2/27)))))))
+A056205 = (None*integrate((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1))))))))
+A056205 = (None*differential((A007780+(-((6*x^14)+(-(81*x^13))+(-(27*x^12))+(-(27*x^11))+(-(12*x^10))+(-(18*x^9))+(-(14*x^8))+(-(15*x^7))+(-(9*x^6))+(-(8*x^5))+(-((16/3)*x^4))+(-((8/3)*x^3))+(-((16/9)*x^2))+(-((8/9)*x))+(-(((1/27)*((3*x)+2))/((3*x^2)-1))))))))
+A056205 = (None*integrate((A007786+(-(((1/2)*(((x^4-(3*x^3)-(3*x^2))+(4*x))-1))/(((((x^6+(2*x^5))-(7*x^4)-(3*x^3))+(7*x^2))-(4*x))+1))))))
+A056205 = (None*differential((A007786+(-(((1/2)*(((x^4-(3*x^3)-(3*x^2))+(4*x))-1))/(((((x^6+(2*x^5))-(7*x^4)-(3*x^3))+(7*x^2))-(4*x))+1))))))
+A056205 = (None*integrate((A007786+(-(((1/2)*(((((2*x^5)-(5*x^4)-(5*x^3))+(11*x^2))-(6*x))+1))/(((((x^6+(2*x^5))-(9*x^4)-(5*x^3))+(15*x^2))-(8*x))+1))))))
+A056205 = (None*differential((A007786+(-(((1/2)*(((((2*x^5)-(5*x^4)-(5*x^3))+(11*x^2))-(6*x))+1))/(((((x^6+(2*x^5))-(9*x^4)-(5*x^3))+(15*x^2))-(8*x))+1))))))
+A339487 = ((None*(A007798+(-((-(1/2/((3*x)-1)))+(-(1/4/(x-1)))))))+(-(1/210/((15*x)-1)))+(-(1/6/((3*x)-1)))+(1/14/(x-1)))
+A056205 = (None*integrate((A007798+(-((-(1/2/((3*x)-1)))+(-(1/4/(x-1))))))))
+A056205 = (None*differential((A007798+(-((-(1/2/((3*x)-1)))+(-(1/4/(x-1))))))))
+A056205 = (None*integrate((A007800+(-((-(1/2/(x-1)))+(-(1/2/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A007800+(-((-(1/2/(x-1)))+(-(1/2/(x-1)^2))+(-1))))))
+A339623 = (((-14)*differential((A007800+(-((-(((1/2)*(x^2+x+2))/((x^3+x^2+x)-1)))+(-(1/2/(x-1)))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339760 = ((1*(A007800+(-((-(((1/2)*(x^2+x+2))/((x^3+x^2+x)-1)))+(-(1/2/(x-1)))+(-(1/2/(x-1)^2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A007800+(-((-(((1/2)*(x^2+x+2))/((x^3+x^2+x)-1)))+(-(1/2/(x-1)))+(-(1/2/(x-1)^2)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A134495 = (None*A007805)
+A056205 = (None*integrate(A007805))
+A056205 = (None*differential(A007805))
+A056205 = (None*integrate((A007817+(-((-x)+(-((3/16)*sqrt(((-(4*x))+1))))+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))
+A056205 = (None*differential((A007817+(-((-x)+(-((3/16)*sqrt(((-(4*x))+1))))+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))
+A339760 = (((-1)*(A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-((3/16)*sqrt(((-(4*x))+1))))+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-((3/16)*sqrt(((-(4*x))+1))))+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A306423 = ((None*(A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2)))))+(-(3*x^4))+(-((1/2)*x^2*(sqrt(((-(4*x))+1))+1)))+(-((1/2)*x*((3*sqrt(((-(4*x))+1)))-7)))+1)
+A056205 = (None*integrate((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))
+A056205 = (None*differential((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))
+A056205 = (None*integrate((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+(-((3/16)*sqrt(((-(4*x))+1))))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))
+A056205 = (None*differential((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+(-((3/16)*sqrt(((-(4*x))+1))))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))
+A056205 = (None*integrate((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+(-((3/16)*sqrt(((-(4*x))+1))))+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))
+A056205 = (None*differential((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+(-((3/16)*sqrt(((-(4*x))+1))))+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(3/2))))))
+A056205 = (None*integrate((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+(-((3/16)*sqrt(((-(4*x))+1))))+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1))))))))
+A056205 = (None*differential((A007817+(-((-((1/4)*x*(sqrt(((-(4*x))+1))-2)))+(-x)+(-((3/16)*sqrt(((-(4*x))+1))))+((((((4*x)-1)^2-((((2*((4*x)-1)^2)+(5*((-(4*x))+1)^(3/2))+(42*x))-(28*sqrt(((-(4*x))+1)))-17)*x))+(2*((-(4*x))+1)^(3/2))+(20*x))-(8*sqrt(((-(4*x))+1)))-7)/((((2*x^2)-(2*x*(sqrt(((-(4*x))+1))+2)))+sqrt(((-(4*x))+1))+1)*((4*sqrt(((-(4*x))+1)))+1)))+(((1/16)*((13*sqrt(((-(4*x))+1)))-4))/(((4*x)-1)*((4*sqrt(((-(4*x))+1)))+1))))))))
+A056205 = (None*integrate((A007829+(-((-((2*(x+1))/((2*x^2)-1)))+(-((2*(x+1))/((x^2+x)-1)))+(-(4/(x-1))))))))
+A056205 = (None*differential((A007829+(-((-((2*(x+1))/((2*x^2)-1)))+(-((2*(x+1))/((x^2+x)-1)))+(-(4/(x-1))))))))
+A304973 = ((None*(A007829+(-(((2*(x^2+(3*x)+2))/((x^3+x^2)-1))+(-((2*(x+1))/((x^2+x)-1)))+(-(4/(x-1)))))))+(-(((1/3)*((3*x)+2))/((3*x^2)-1)))+(1/3))
+A056205 = (None*integrate((A007829+(-(((2*(x^2+(3*x)+2))/((x^3+x^2)-1))+(-((2*(x+1))/((x^2+x)-1)))+(-(4/(x-1))))))))
+A056205 = (None*differential((A007829+(-(((2*(x^2+(3*x)+2))/((x^3+x^2)-1))+(-((2*(x+1))/((x^2+x)-1)))+(-(4/(x-1))))))))
+A305412 = ((None*(A007829+(-(((2*(x^2+(3*x)+2))/((x^3+x^2)-1))+(-((2*(x+1))/((2*x^2)-1)))+(-(4/(x-1)))))))+(-(((1/5)*(x+1))/((x^2-(3*x))+1)))+(-(1/5/(x+1))))
+A056205 = (None*integrate((A007829+(-(((2*(x^2+(3*x)+2))/((x^3+x^2)-1))+(-((2*(x+1))/((2*x^2)-1)))+(-(4/(x-1))))))))
+A056205 = (None*differential((A007829+(-(((2*(x^2+(3*x)+2))/((x^3+x^2)-1))+(-((2*(x+1))/((2*x^2)-1)))+(-(4/(x-1))))))))
+A056205 = (None*integrate((A007853+(-((-((1/2)*x))+(-((1/4)*sqrt(((-(4*x))+1))))+(3/4))))))
+A056205 = (None*differential((A007853+(-((-((1/2)*x))+(-((1/4)*sqrt(((-(4*x))+1))))+(3/4))))))
+A306423 = ((None*(A007853+(-((-((1/4)*sqrt(2)*sqrt(((((2*x^2)+(((2*x)+1)*sqrt(((-(4*x))+1))))-(8*x))+1))))+(-((1/2)*x))+(3/4)))))+(-(3*x^4))+(-((1/2)*x^2*(sqrt(((-(4*x))+1))+1)))+(-((1/2)*x*((3*sqrt(((-(4*x))+1)))-7)))+1)
+A056205 = (None*integrate((A007853+(-((-((1/4)*sqrt(2)*sqrt(((((2*x^2)+(((2*x)+1)*sqrt(((-(4*x))+1))))-(8*x))+1))))+(-((1/2)*x))+(3/4))))))
+A056205 = (None*differential((A007853+(-((-((1/4)*sqrt(2)*sqrt(((((2*x^2)+(((2*x)+1)*sqrt(((-(4*x))+1))))-(8*x))+1))))+(-((1/2)*x))+(3/4))))))
+A056205 = (None*integrate((A007853+(-((-((1/4)*sqrt(2)*sqrt(((((2*x^2)+(((2*x)+1)*sqrt(((-(4*x))+1))))-(8*x))+1))))+(-((1/2)*x))+(-((1/4)*sqrt(((-(4*x))+1)))))))))
+A056205 = (None*differential((A007853+(-((-((1/4)*sqrt(2)*sqrt(((((2*x^2)+(((2*x)+1)*sqrt(((-(4*x))+1))))-(8*x))+1))))+(-((1/2)*x))+(-((1/4)*sqrt(((-(4*x))+1)))))))))
+A056205 = (None*integrate((A007855+(-((-((1/4)*sqrt(((-(2/sqrt(((-(4*x))+1))))+3))))+(1/4))))))
+A056205 = (None*differential((A007855+(-((-((1/4)*sqrt(((-(2/sqrt(((-(4*x))+1))))+3))))+(1/4))))))
+A056205 = (None*integrate((A007855+(-((-((1/4)*sqrt(((-(4*x))+1))*(sqrt(((-(2/sqrt(((-(4*x))+1))))+3))-1)))+(1/4))))))
+A056205 = (None*differential((A007855+(-((-((1/4)*sqrt(((-(4*x))+1))*(sqrt(((-(2/sqrt(((-(4*x))+1))))+3))-1)))+(1/4))))))
+A056205 = (None*integrate(A007856))
+A056205 = (None*differential(A007856))
+A338200 = ((None*(A007877+(-(-(1/(x-1))))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A007877+(-(-(1/(x-1)))))))
+A056205 = (None*differential((A007877+(-(-(1/(x-1)))))))
+A338200 = ((None*(A007877+(-(-(1/(x-1))))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A007877+(-(-(1/(x-1)))))))
+A056205 = (None*differential((A007877+(-(-(1/(x-1)))))))
+A056205 = (None*integrate((A007891+(-((-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(-(11/27/(x-1))))+(-(1/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A007891+(-((-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(-(11/27/(x-1))))+(-(1/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*integrate((A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(11/27/(x-1))))+(-(1/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(11/27/(x-1))))+(-(1/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A339751 = ((None*(A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(1/9/(x-1)^2))+(-(2/9/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(1/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(1/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A339751 = ((None*(A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(-(11/27/(x-1))))+(-(2/9/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(-(11/27/(x-1))))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(-(11/27/(x-1))))+(-(2/9/(x-1)^3)))))))
+A339623 = ((None*(A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(-(11/27/(x-1))))+(-(1/9/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(-(11/27/(x-1))))+(-(1/9/(x-1)^2)))))))
+A056205 = (None*differential((A007891+(-((-(((8/27)*((2*x)+1))/(x^2+x+1)))+(-(-(((4/9)*((2*x)+1))/(x^2+x+1)^2)))+(-(-(11/27/(x-1))))+(-(1/9/(x-1)^2)))))))
+A056205 = (None*integrate((A007892+(-((-(-(21/32/(x+1))))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(47/32/(x-1))))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A007892+(-((-(-(21/32/(x+1))))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(47/32/(x-1))))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A338717 = ((None*(A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(47/32/(x-1))))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(47/32/(x-1))))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(47/32/(x-1))))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*integrate((A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(21/32/(x+1))))+(-(-(47/32/(x-1))))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(21/32/(x+1))))+(-(-(47/32/(x-1))))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A339751 = ((None*(A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(21/32/(x+1))))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(21/32/(x+1))))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(21/32/(x+1))))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(3/16/(x+1)^2)))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A338544 = ((None*(A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(21/32/(x+1))))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(47/32/(x-1))))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(21/32/(x+1))))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(47/32/(x-1))))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A007892+(-((-(((3/8)*((5*x)+1))/(x^2+1)))+(-(-(21/32/(x+1))))+(-(-(((3/4)*(x+1))/(x^2+1)^2)))+(-(-(47/32/(x-1))))+(-(3/8/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*integrate((A007893+(-((-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(81/25/(x-1))))+(-(13/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*differential((A007893+(-((-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(81/25/(x-1))))+(-(13/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*integrate((A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(81/25/(x-1))))+(-(13/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*differential((A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(81/25/(x-1))))+(-(13/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A339751 = ((None*(A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(13/25/(x-1)^2))+(-(2/25/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(13/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*differential((A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(13/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A339751 = ((None*(A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(81/25/(x-1))))+(-(2/25/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(81/25/(x-1))))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*differential((A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(81/25/(x-1))))+(-(2/25/(x-1)^3)))))))
+A339623 = ((None*(A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(81/25/(x-1))))+(-(13/25/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(81/25/(x-1))))+(-(13/25/(x-1)^2)))))))
+A056205 = (None*differential((A007893+(-((-(((16/25)*((9*x^3)+(11*x^2)+(9*x)+6))/(x^4+x^3+x^2+x+1)))+(-(-(((8/5)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(81/25/(x-1))))+(-(13/25/(x-1)^2)))))))
+A339751 = ((None*(A007899+(-((1/4/(x+1))+(-(63/2/(x-1)^2))+(-(21/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007899+(-((1/4/(x+1))+(-(63/2/(x-1)^2))+(-(21/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A007899+(-((1/4/(x+1))+(-(63/2/(x-1)^2))+(-(21/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A007899+(-((1/4/(x+1))+(-(49/4/(x-1)))+(-(21/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A007899+(-((1/4/(x+1))+(-(49/4/(x-1)))+(-(21/(x-1)^3))+(-1))))))
+A339623 = ((None*(A007899+(-((1/4/(x+1))+(-(49/4/(x-1)))+(-(63/2/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007899+(-((1/4/(x+1))+(-(49/4/(x-1)))+(-(63/2/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A007899+(-((1/4/(x+1))+(-(49/4/(x-1)))+(-(63/2/(x-1)^2))+(-1))))))
+A339760 = ((1*(A007899+(-((1/4/(x+1))+(-(49/4/(x-1)))+(-(63/2/(x-1)^2))+(-(21/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A007899+(-((1/4/(x+1))+(-(49/4/(x-1)))+(-(63/2/(x-1)^2))+(-(21/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007900+(-((120/(x-1)^2)+(192/(x-1)^3)+(96/(x-1)^4)+1)))))
+A056205 = (None*differential((A007900+(-((120/(x-1)^2)+(192/(x-1)^3)+(96/(x-1)^4)+1)))))
+A339751 = ((None*(A007900+(-((24/(x-1))+(192/(x-1)^3)+(96/(x-1)^4)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007900+(-((24/(x-1))+(192/(x-1)^3)+(96/(x-1)^4)+1)))))
+A056205 = (None*differential((A007900+(-((24/(x-1))+(192/(x-1)^3)+(96/(x-1)^4)+1)))))
+A339623 = ((None*(A007900+(-((24/(x-1))+(120/(x-1)^2)+(96/(x-1)^4)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007900+(-((24/(x-1))+(120/(x-1)^2)+(96/(x-1)^4)+1)))))
+A056205 = (None*differential((A007900+(-((24/(x-1))+(120/(x-1)^2)+(96/(x-1)^4)+1)))))
+A338588 = (((9/8)*(A007900+(-((24/(x-1))+(120/(x-1)^2)+(192/(x-1)^3)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007900+(-((24/(x-1))+(120/(x-1)^2)+(192/(x-1)^3)+1)))))
+A056205 = (None*differential((A007900+(-((24/(x-1))+(120/(x-1)^2)+(192/(x-1)^3)+1)))))
+A339760 = (((-1)*(A007900+(-((24/(x-1))+(120/(x-1)^2)+(192/(x-1)^3)+(96/(x-1)^4)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A007900+(-((24/(x-1))+(120/(x-1)^2)+(192/(x-1)^3)+(96/(x-1)^4))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007901+(-((-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+((164/729)*sqrt(((-(4*x))+1)))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187))))))
+A056205 = (None*differential((A007901+(-((-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+((164/729)*sqrt(((-(4*x))+1)))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187))))))
+A056205 = (None*integrate((A007901+(-(((2/3)*x^3)+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+((164/729)*sqrt(((-(4*x))+1)))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187))))))
+A056205 = (None*differential((A007901+(-(((2/3)*x^3)+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+((164/729)*sqrt(((-(4*x))+1)))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187))))))
+A056205 = (None*integrate((A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((164/729)*sqrt(((-(4*x))+1)))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187))))))
+A056205 = (None*differential((A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((164/729)*sqrt(((-(4*x))+1)))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187))))))
+A306423 = ((None*(A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187)))))+(-(3*x^4))+(-((1/2)*x^2*(sqrt(((-(4*x))+1))+1)))+(-((1/2)*x*((3*sqrt(((-(4*x))+1)))-7)))+1)
+A056205 = (None*integrate((A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187))))))
+A056205 = (None*differential((A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1))+(874/2187))))))
+A056205 = (None*integrate((A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+((164/729)*sqrt(((-(4*x))+1)))+(874/2187))))))
+A056205 = (None*differential((A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+((164/729)*sqrt(((-(4*x))+1)))+(874/2187))))))
+A056205 = (None*integrate((A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+((164/729)*sqrt(((-(4*x))+1)))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1)))))))
+A056205 = (None*differential((A007901+(-(((2/3)*x^3)+(-((1/27)*x^2*((3*sqrt(((-(4*x))+1)))-31)))+((1/243)*x*((39*sqrt(((-(4*x))+1)))+173))+((164/729)*sqrt(((-(4*x))+1)))+(((1/2187)*(((4*x^2*((1047*sqrt(((-(4*x))+1)))+962))-(x*((3093*sqrt(((-(4*x))+1)))+4561)))+(492*sqrt(((-(4*x))+1)))+874))/((((9*x^3)-(14*x^2))+(7*x))-1)))))))
+A056205 = (None*integrate((A007909+(-(-(2/5/((2*x)-1)))))))
+A056205 = (None*differential((A007909+(-(-(2/5/((2*x)-1)))))))
+A339760 = ((None*(A007909+(-(((1/5)*(x+3))/(x^2+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007909+(-(((1/5)*(x+3))/(x^2+1))))))
+A056205 = (None*differential((A007909+(-(((1/5)*(x+3))/(x^2+1))))))
+A307789 = ((None*(A007971+(-1)))+((2/3)*x)+(-(((2/9)*(((3*x^2)+(2*x)+(2*sqrt((((-(3*x^2))-(2*x))+1))))-2))/(((3*x)+sqrt((((-(3*x^2))-(2*x))+1)))-1)))+(11/9))
+A056205 = (None*integrate((A007971+(-1))))
+A056205 = (None*differential((A007971+(-1))))
+A339760 = (((-1)*(A007971+(-(-sqrt((((-(3*x^2))-(2*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A007971+(-(-sqrt((((-(3*x^2))-(2*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A307789 = ((None*(A007971+(-1)))+((2/3)*x)+(-(((2/9)*(((3*x^2)+(2*x)+(2*sqrt((((-(3*x^2))-(2*x))+1))))-2))/(((3*x)+sqrt((((-(3*x^2))-(2*x))+1)))-1)))+(11/9))
+A056205 = (None*integrate((A007971+(-1))))
+A056205 = (None*differential((A007971+(-1))))
+A339760 = (((-1)*(A007971+(-(-sqrt((((-(3*x^2))-(2*x))+1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A007971+(-(-sqrt((((-(3*x^2))-(2*x))+1)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-(7/3))*differential((A007972+(-((-(1/(x-1)))+(-(4/(x-1)^5)))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A337962 = ((9428*(A007972+(-((-(1/(x-1)))+(-(3/(x-1)^2))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = ((108*integrate((A007972+(-((-(1/(x-1)))+(-(3/(x-1)^2)))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((-(35661/10))*differential((A007972+(-((-(1/(x-1)))+(-(3/(x-1)^2)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339751 = ((None*(A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(29/18/(x-1)^2)+(1/(x-1)^3)+(2/3/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(29/18/(x-1)^2)+(1/(x-1)^3)+(2/3/(x-1)^4))))))
+A056205 = (None*differential((A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(29/18/(x-1)^2)+(1/(x-1)^3)+(2/3/(x-1)^4))))))
+A339751 = ((None*(A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(23/36/(x-1))+(1/(x-1)^3)+(2/3/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(23/36/(x-1))+(1/(x-1)^3)+(2/3/(x-1)^4))))))
+A056205 = (None*differential((A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(23/36/(x-1))+(1/(x-1)^3)+(2/3/(x-1)^4))))))
+A339623 = (((-14)*(A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(23/36/(x-1))+(29/18/(x-1)^2)+(2/3/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((-36)*differential((A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(23/36/(x-1))+(29/18/(x-1)^2)+(2/3/(x-1)^4))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = ((None*(A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(23/36/(x-1))+(29/18/(x-1)^2)+(1/(x-1)^3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(23/36/(x-1))+(29/18/(x-1)^2)+(1/(x-1)^3))))))
+A056205 = (None*differential((A007979+(-((((1/9)*(x+1))/(x^2+x+1))+(1/4/(x+1))+(23/36/(x-1))+(29/18/(x-1)^2)+(1/(x-1)^3))))))
+A338588 = ((54*differential((A007980+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1))))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337120 = ((4*(A007981+(-((-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A007981+(-((-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((None*(A007981+(-((-x^3)+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A007981+(-((-x^3)+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A056205 = (None*differential((A007981+(-((-x^3)+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A339760 = ((None*(A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A056205 = (None*differential((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A334625 = ((None*(A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2)))))+(-(3*x^8))+(-(-(3*x^7)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(5/2/(x-1))+(1/(x-1)^2)+3)
+A056205 = (None*integrate((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A056205 = (None*differential((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A338717 = ((None*(A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A056205 = (None*differential((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A339751 = ((None*(A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A056205 = (None*differential((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A339751 = ((None*(A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A056205 = (None*differential((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))+(-2))))))
+A338588 = ((108*differential((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/12/(x-1)^4))+(-2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339610 = ((1*(A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A007981+(-((-x^3)+(-(-(-(-x^2))))+(-(-(-(-(2*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(7/16/(x+1)))))+(-(-(-(41/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/144/(x-1)^2)))+(-(1/3/(x-1)^3))+(-(1/12/(x-1)^4)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((4*(A007982+(-((-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A007982+(-((-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((None*(A007982+(-((-x^3)+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A007982+(-((-x^3)+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007982+(-((-x^3)+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A339760 = ((None*(A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A334625 = ((None*(A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5)))))+(-(3*x^8))+(-(-(3*x^7)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(5/2/(x-1))+(1/(x-1)^2)+3)
+A056205 = (None*integrate((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A338717 = ((None*(A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A339751 = ((None*(A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A339751 = ((None*(A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))+(-5))))))
+A339623 = ((None*(A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(1/12/(x-1)^4))+(-5)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(1/12/(x-1)^4))+(-5))))))
+A056205 = (None*differential((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(1/12/(x-1)^4))+(-5))))))
+A336867 = ((1*(A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = (((-0.2)*integrate((A007982+(-((-x^3)+(-(-(-(-(2*x^2)))))+(-(-(-(-(3*x)))))+(-(-(-(1/9/(x^2+x+1)))))+(-(-(-(5/16/(x+1)))))+(-(-(-(139/16/(x-1)))))+(-(-(1/16/(x+1)^2)))+(-(-(691/144/(x-1)^2)))+(-(-(7/6/(x-1)^3)))+(-(1/12/(x-1)^4)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A334625 = ((None*(A007983+(-((-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4)))))+(-(3*x^8))+(-(-(3*x^7)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(5/2/(x-1))+(1/(x-1)^2)+3)
+A056205 = (None*integrate((A007983+(-((-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4))))))
+A056205 = (None*differential((A007983+(-((-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4))))))
+A338717 = ((None*(A007983+(-((1/9/(x^2+x+1))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007983+(-((1/9/(x^2+x+1))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4))))))
+A056205 = (None*differential((A007983+(-((1/9/(x^2+x+1))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4))))))
+A339751 = ((None*(A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4))))))
+A056205 = (None*differential((A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4))))))
+A339751 = ((None*(A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4))))))
+A056205 = (None*differential((A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(1/6/(x-1)^3))+(1/12/(x-1)^4))))))
+A338588 = ((None*(A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3)))))))
+A056205 = (None*differential((A007983+(-((1/9/(x^2+x+1))+(-(-(5/16/(x+1))))+(-(-(11/16/(x-1))))+(-(1/16/(x+1)^2))+(-(115/144/(x-1)^2))+(-(1/6/(x-1)^3)))))))
+A056205 = (None*integrate(A007985))
+A056205 = (None*differential(A007985))
+A056205 = (None*integrate((A007990+(-((-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A338200 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A338717 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A339751 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A338544 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A339751 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A336974 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A339623 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A333469 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(((1/36)*((((103*x^3)+(28*x^2))-(207*x))+67))/((x^4-x^2)+1))+(-(-(-(-(((1/72)*((356*x)-189))/(x^2+x+1))))))+(-(-(-(-(((1/72)*((278*x)+187))/((x^2-x)+1))))))+(-(-(-(-(((1/18)*((56*x)-103))/(x^2+1))))))+(-(-(-(-(((1/36)*(((15*x^3)-(94*x^2)-(18*x))+92))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/36)*((37*x)+55))/((x^2-x)+1)^2)))))+(-(-(-(((1/36)*((37*x)-141))/(x^2+1)^2))))+(-(-(-(((1/12)*((17*x)-39))/(x^2+x+1)^2))))+(-(-(-(83/18/(x+1)))))+(-(-(-(179/18/(x-1)))))+(-(-(-(((2/3)*((2*x^2)-1))/((x^4-x^2)+1)^3))))+(-(-(-(((1/9)*((6*x)-11))/(x^2+1)^3))))+(-(-(-(((1/8)*(x+7))/(x^2+x+1)^3))))+(-(-(55/18/(x+1)^2)))+(-(-(((5/24)*(x+1))/((x^2-x)+1)^3)))+(-(-(100/9/(x-1)^2)))+(-(-(35/36/(x+1)^3)))+(-(-(55/6/(x-1)^3)))+(-(37/8/(x-1)^4))+(-(1/(x-1)^5))+(-6))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A338588 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A333321 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(35/512/(x+1)))+(-(-(35/512/(x-1))))+(-(-(47/256/(x+1)^2)))+(-(67/64/(x-1)^2))+(-(91/256/(x+1)^3))+(-(559/256/(x-1)^3))+(-(7/32/(x+1)^4))+(257/128/(x-1)^4)+(57/64/(x-1)^5)+(5/32/(x-1)^6))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A337962 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A337962 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A337962 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))+(-3))))))
+A337962 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/96/(x-1)^9))+(-3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/96/(x-1)^9))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/96/(x-1)^9))+(-3))))))
+A337962 = ((None*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-3))))))
+A056205 = (None*differential((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-3))))))
+A339198 = ((1*(A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = (((-0.3333333333333333)*integrate((A007990+(-((-(((2/243)*(x+2))/(x^2+x+1)))+(-(-(-(-(-(-(3/64/(x^2+1))))))))+(-(-(-(-(-(18069/8192/(x+1)))))))+(-(-(-(-(-(4374383/1990656/(x-1)))))))+(-(-(-(-(-(((4/81)*(x-1))/(x^2+x+1)^2))))))+(-(-(-(-(-(3093/4096/(x+1)^2))))))+(-(-(-(-(-(1611/2048/(x-1)^2))))))+(-(-(-(-(139/2048/(x+1)^3)))))+(-(-(-(-(1643/82944/(x-1)^3)))))+(-(-(-(-(21/1024/(x+1)^4)))))+(-(-(-(-(5/144/(x-1)^4)))))+(-(-(-(3/512/(x+1)^5))))+(-(-(-(85/2304/(x-1)^5))))+(-(-(65/2304/(x-1)^6)))+(-(-(25/1152/(x-1)^7)))+(-(1/64/(x-1)^8))+(-(1/96/(x-1)^9)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A007993+(-((-(6/(x-1)))+(-(1/(x-1)^3))+(-(1/(x-1)^6))+(-3)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007993+(-((-(6/(x-1)))+(-(1/(x-1)^3))+(-(1/(x-1)^6))+(-3))))))
+A056205 = (None*differential((A007993+(-((-(6/(x-1)))+(-(1/(x-1)^3))+(-(1/(x-1)^6))+(-3))))))
+A339623 = ((14*(A007993+(-((-(6/(x-1)))+(-(-(3/(x-1)^2)))+(-(1/(x-1)^6))+(-3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((36*differential((A007993+(-((-(6/(x-1)))+(-(-(3/(x-1)^2)))+(-(1/(x-1)^6))+(-3))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = ((71322*(A007993+(-((-(6/(x-1)))+(-(-(3/(x-1)^2)))+(-(1/(x-1)^3))+(-3)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A007993+(-((-(6/(x-1)))+(-(-(3/(x-1)^2)))+(-(1/(x-1)^3))+(-3))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A339198 = ((1*(A007993+(-((-(6/(x-1)))+(-(-(3/(x-1)^2)))+(-(1/(x-1)^3))+(-(1/(x-1)^6))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = (((-0.3333333333333333)*integrate((A007993+(-((-(6/(x-1)))+(-(-(3/(x-1)^2)))+(-(1/(x-1)^3))+(-(1/(x-1)^6)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A007994+(-((-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10)+8))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007994+(-((-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10)+8)))))
+A056205 = (None*differential((A007994+(-((-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10)+8)))))
+A056205 = (None*integrate((A007994+(-((26/(x-1))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10)+8)))))
+A056205 = (None*differential((A007994+(-((26/(x-1))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10)+8)))))
+A339623 = (((7/5)*(A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10)+8))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((18/5)*differential((A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10)+8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A338588 = (((-(54/5))*(A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(1/(x-1)^6))+(1/(x-1)^10)+8))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(1/(x-1)^6))+(1/(x-1)^10)+8)))))
+A056205 = (None*differential((A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(1/(x-1)^6))+(1/(x-1)^10)+8)))))
+A337962 = ((71322*(A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(1/(x-1)^10)+8))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-12512)*differential((A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(1/(x-1)^10)+8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337406 = (((-297297000)*(A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+8))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A337406 = ((18378360*differential((A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+8)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(297297000/(x-1)^10))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A324632 = ((None*(A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10)))))+(-(41*x^4))+(-(-(-(13*x^3))))+(-(-(-(5*x^2))))+(-(-(-x)))+(-(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1)))))+(-(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1))))+(-(-((2*((x^2+(2*x))-3))/((x^3+x^2+x)-1))))+(-(1/(x+1))))
+A056205 = (None*integrate((A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10))))))
+A056205 = (None*differential((A007994+(-((26/(x-1))+(-(18/(x-1)^2))+(-(10/(x-1)^3))+(-(10/(x-1)^4))+(-(1/(x-1)^6))+(1/(x-1)^10))))))
+A339751 = ((None*(A007995+(-((-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007995+(-((-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A056205 = (None*differential((A007995+(-((-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A339751 = ((None*(A007995+(-((-(155/(x-1)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007995+(-((-(155/(x-1)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A056205 = (None*differential((A007995+(-((-(155/(x-1)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A339623 = (((7/10)*(A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A056205 = (None*differential((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A338588 = ((None*(A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A056205 = (None*differential((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A337962 = (((71322/5)*(A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A056205 = (None*differential((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))
+A337962 = (((25024/5)*(A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = (((-(2754/7))*differential((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(1/(x-1)^10))+(-(1/(x-1)^15))+(-45))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = ((None*(A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^15))+(-45)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^15))+(-45))))))
+A056205 = (None*differential((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^15))+(-45))))))
+A323972 = ((None*(A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-45)))))+(-(7/(x-1)))+(-(-(3/(x-1)^2)))+(-(-(7/(x-1)^3)))+(-(-(11/(x-1)^4)))+(-(-(20/(x-1)^5)))+(-(-(33/(x-1)^6)))+(-(-(48/(x-1)^7)))+(-(-(38/(x-1)^8)))+(-(86/(x-1)^9))+(-(461/(x-1)^10))+(-(1022/(x-1)^11))+(-(1092/(x-1)^12))+(-(126/(x-1)^13))+(-(2046/(x-1)^14))+(-(1716/(x-1)^16))+(-(429/(x-1)^17))+(-6))
+A056205 = (None*integrate((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-45))))))
+A056205 = (None*differential((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-45))))))
+A294718 = ((None*(A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15))))))+(-(4*x^2))+(-(17*x))+(-(100/(x-1)))+(-(103/(x-1)^2))+(-(100/(x-1)^3))+(-(102/(x-1)^4))+(-(82/(x-1)^5))+(-(39/(x-1)^6))+(-(8/(x-1)^7)))
+A056205 = (None*integrate((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15)))))))
+A056205 = (None*differential((A007995+(-((-(155/(x-1)))+(-(-(150/(x-1)^2)))+(-(20/(x-1)^3))+(-(70/(x-1)^4))+(-(5/(x-1)^6))+(-(15/(x-1)^7))+(-(1/(x-1)^10))+(-(1/(x-1)^15)))))))
+A339623 = (((-1)*(A007997+(-((-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A007997+(-((-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A007997+(-((-x^2)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A007997+(-((-x^2)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A007997+(-((-x^2)+(-x)+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2))))))
+A056205 = (None*differential((A007997+(-((-x^2)+(-x)+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2))))))
+A339751 = ((None*(A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2))))))
+A056205 = (None*differential((A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))+(-2))))))
+A339751 = ((None*(A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(1/3/(x-1)^3))+(-2)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(1/3/(x-1)^3))+(-2))))))
+A056205 = (None*differential((A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(1/3/(x-1)^3))+(-2))))))
+A338588 = ((108*differential((A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-2))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339610 = ((1*(A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = (((-0.5)*integrate((A007997+(-((-x^2)+(-x)+(-(((2/9)*((2*x)+1))/(x^2+x+1)))+(-(32/9/(x-1)))+(-(5/3/(x-1)^2))+(-(1/3/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008000+(-((-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008000+(-((-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(38/9/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(38/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(38/9/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008000+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(-(107/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(19/3/(x-1)^2))+(-(38/9/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008005+(-((-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/108/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/108/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008005+(-((-(((1/18)*(((7*x^5)+(7*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^3+1)))+(-(-(-(((1/6)*((x^5+x^4)-x^2-x))/((x^6-x^3)+1)))))+(-(-(-(((5/162)*(x-7))/(x^2+x+1)))))+(-(-(-(((1/54)*(x-11))/((x^2-x)+1)))))+(-(-(-(1/4/(x^2+1)))))+(-(-(71/432/(x+1))))+(-(-(((1/18)*(x+1))/((x^2-x)+1)^2)))+(-(-(5045/1296/(x-1))))+(-(((5/54)*(x-1))/(x^2+x+1)^2))+(-(497/72/(x-1)^2))+(-(497/108/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008012+(-((-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008012+(-((-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008012+(-((-(((1/10)*(((((10*x^7)+x^6)-(15*x^5)-(7*x^4))+(15*x^3)+(13*x^2))-(10*x)-14))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(2/5/(x^2+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008013+(-((-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008013+(-((-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008013+(-((-(((2/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(94/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008014+(-((-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008014+(-((-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(21/5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(21/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(21/5/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008014+(-((-(((1/10)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/10)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(3/20/(x+1)))+(-(79/20/(x-1)))+(-(63/10/(x-1)^2))+(-(21/5/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008026+(-((-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008026+(-((-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(123/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(123/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008026+(-((-(((1/3)*((((((((2*x^11)+(15*x^10))-(2*x^9)-(13*x^8))+(8*x^7)+(4*x^6))-(8*x^5))+(5*x^4)+(10*x^3))-(15*x^2)-(10*x))+8))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*(((10*x^5)+(8*x^4))-(7*x^3)-(22*x^2)-(24*x)-14))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((3/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(58/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008027+(-((-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008027+(-((-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(123/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(123/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008027+(-((-(((1/3)*(((((((2*x^11)+(3*x^10))-(3*x^9)-(4*x^8))+(3*x^7))-(3*x^5))+(4*x^4)+(3*x^3))-(3*x^2)-(2*x)))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((2/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008028+(-((-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008028+(-((-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(123/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(123/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008028+(-((-(((1/3)*((((((((8*x^11)-(18*x^10)-(3*x^9))+(23*x^8))-(6*x^7)-(9*x^6))+(6*x^5))-(5*x^4)-(15*x^3))+(18*x^2)+(10*x))-18))/((((((((x^12-x^11)+x^9)-x^8)+x^6)-x^4)+x^3)-x)+1)))+(-(((1/21)*((2*x^5)-(5*x^4)-(6*x^3)-(7*x^2)-(14*x)-12))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*((8*x^3)-(13*x^2)-(34*x)-26))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(106/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338024 = ((None*(A008029+(-((-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A008029+(-((-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A337120 = ((None*(A008029+(-((-x^4)+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A339623 = ((None*(A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A339760 = ((0.5*(A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A338200 = ((None*(A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A339751 = ((None*(A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+2)))))
+A339751 = ((None*(A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(44/15/(x-1)^3))+2))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(44/15/(x-1)^3))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(44/15/(x-1)^3))+2)))))
+A339623 = ((None*(A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+2))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+2)))))
+A056205 = (None*differential((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+2)))))
+A339610 = (((-1)*(A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A008029+(-((-x^4)+(-(-(-(3*x^3))))+(-(-(-(2*x^2))))+(-(-(2*x)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(-(((1/18)*((11*x)+4))/(x^2+x+1))))+(-(((3/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(157/45/(x-1)))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008030+(-((-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008030+(-((-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(44/15/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(44/15/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008030+(-((((3/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/36)*(x+20))/(x^2+x+1)))))+(-(-(-(((9/4)*(x-2))/((x^2-x)+1)))))+(-(-(1/(x^2+1))))+(-(-(161/45/(x-1))))+(-(((1/6)*(x-1))/(x^2+x+1)^2))+(-(22/5/(x-1)^2))+(-(44/15/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.5)*(A008031+(-((-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A008031+(-((-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A338200 = ((None*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A339751 = ((None*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A339751 = ((None*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(24/5/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(24/5/(x-1)^3))+1)))))
+A339623 = ((None*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.5)*(A008031+(-((-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A008031+(-((-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A338200 = ((None*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A339751 = ((None*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))+1)))))
+A339751 = ((None*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(24/5/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(24/5/(x-1)^3))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(24/5/(x-1)^3))+1)))))
+A339623 = ((None*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+1)))))
+A056205 = (None*differential((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008031+(-((-(2*x^2))+(-(-(((2/5)*((2*x^3)+x^2+2))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*((3*x^2)+1))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(16/5/(x-1)))+(-(36/5/(x-1)^2))+(-(24/5/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008033+(-((-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(188/45/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(188/45/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008033+(-((-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(188/45/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(188/45/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(188/45/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008033+(-((-(((1/3)*(((x^5-x^4-x^3)+x^2)-x-2))/(x^6+x^3+1)))+(-(((1/5)*(x^3-x))/(x^4+x^3+x^2+x+1)))+(-(((4/27)*(x+2))/(x^2+x+1)))+(-(502/135/(x-1)))+(-(94/15/(x-1)^2))+(-(188/45/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A008034+(-((-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A008034+(-((-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A008034+(-(x^2+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A008034+(-(x^2+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A008034+(-(x^2+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A056205 = (None*integrate((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*differential((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*differential((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*differential((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*differential((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A339751 = ((None*(A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*differential((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+1)))))
+A339751 = ((None*(A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(1052/231/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(1052/231/(x-1)^3))+1)))))
+A056205 = (None*differential((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(1052/231/(x-1)^3))+1)))))
+A339623 = ((None*(A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+1)))))
+A056205 = (None*differential((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008034+(-(x^2+(-(-(2*x)))+(-(-(((1/11)*((((9*x^9)+(13*x^8)+(5*x^7)+(11*x^6)+(2*x^5))-(7*x^4)-x^3-(9*x^2)-(5*x))+4))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1))))+(-(-(((1/7)*(x^5-(2*x^3)-(4*x^2)-(5*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-((x^2-1)/(x^4+1)))+(-(((1/9)*((5*x)+1))/(x^2+x+1)))+(-(1546/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008035+(-((-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(1052/231/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(1052/231/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008035+(-((-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(1052/231/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(1052/231/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(1052/231/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008035+(-((-(((1/11)*(((4*x^9)+(2*x^8)+x^7)-(3*x^6)-(3*x^5)-(3*x^4)-(7*x^3)-(8*x^2)-(10*x)-6))/(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/7)*(((3*x^5)+x^4)-x^2-(3*x)))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(2740/693/(x-1)))+(-(526/77/(x-1)^2))+(-(1052/231/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008036+(-((-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008036+(-((-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A328685 = ((None*(A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(15/4/(x-1)^3))+(-1)))))+(16*x^4)+(-(-(-(40*x^2))))+(-(-(-(32*x))))+(-(-(-((23*x)/(x^2+1)))))+(-(-(-(635/16/(x+1)))))+(-(-(1771/16/(x-1))))+(-(-((14*x)/(x^2+1)^2)))+(-(-(91/8/(x+1)^2)))+(-(-(297/4/(x-1)^2)))+(-(-(7/4/(x+1)^3)))+(-(28/(x-1)^3))+(-(33/2/(x-1)^4))+(-(15/(x-1)^5))+96)
+A056205 = (None*integrate((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(15/4/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-1))))))
+A056205 = (None*differential((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-1))))))
+A339760 = ((1*(A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008036+(-((((1/8)*((2*x)+7))/(x^2+1))+(-(-(((1/3)*(x+2))/(x^2+x+1))))+(-(-(((1/4)*((2*x)+3))/(x^2+1)^2)))+(-(-(47/12/(x-1))))+(-(-(45/8/(x-1)^2)))+(-(1/2/(x^2+1)^3))+(-(15/4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008037+(-((-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008037+(-((-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))+(-1))))))
+A328685 = ((None*(A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(15/4/(x-1)^3))+(-1)))))+(16*x^4)+(-(-(-(40*x^2))))+(-(-(-(32*x))))+(-(-(-((23*x)/(x^2+1)))))+(-(-(-(635/16/(x+1)))))+(-(-(1771/16/(x-1))))+(-(-((14*x)/(x^2+1)^2)))+(-(-(91/8/(x+1)^2)))+(-(-(297/4/(x-1)^2)))+(-(-(7/4/(x+1)^3)))+(-(28/(x-1)^3))+(-(33/2/(x-1)^4))+(-(15/(x-1)^5))+96)
+A056205 = (None*integrate((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(15/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(15/4/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-1))))))
+A056205 = (None*differential((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-1))))))
+A339760 = ((1*(A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008037+(-((-(((1/4)*((3*x)+10))/(x^2+1)))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(5/16/(x+1)))+(-(((3/2)*(x+1))/(x^2+1)^2))+(-(203/48/(x-1)))+(-(45/8/(x-1)^2))+(-(1/(x^2+1)^3))+(-(15/4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((0.5*(A008038+(-((-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.25*differential((A008038+(-((-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-0.1666666666666667)*(A008038+(-((2*x^2)+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008038+(-((2*x^2)+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*differential((A008038+(-((2*x^2)+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*integrate((A008038+(-((2*x^2)+(-(6*x))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*differential((A008038+(-((2*x^2)+(-(6*x))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A334625 = ((None*(A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5))))+(-(3*x^8))+(-(-(3*x^7)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(5/2/(x-1))+(1/(x-1)^2)+3)
+A056205 = (None*integrate((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*differential((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A328881 = ((None*(A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5))))+(-(1/9/((2*x)-1)))+(5/9/(x+1)))
+A056205 = (None*integrate((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*differential((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*integrate((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*differential((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A339751 = ((None*(A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*differential((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+5)))))
+A339751 = ((None*(A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(96/25/(x-1)^3))+5))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(96/25/(x-1)^3))+5)))))
+A056205 = (None*differential((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(96/25/(x-1)^3))+5)))))
+A339623 = ((None*(A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+5))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+5)))))
+A056205 = (None*differential((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+5)))))
+A336867 = (((-1)*(A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))))))+(-x^5)+(-(-x^4))+(-(-x^3))+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(4/(x-1))))+(-(1/(x-1)^2)))
+A339760 = ((0.2*integrate((A008038+(-((2*x^2)+(-(6*x))+(-(((1/25)*((24*x^3)-(33*x^2)-(100*x)-81))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+x+1)))+(-(((3/2)*x)/((x^2-x)+1)))+(-(((1/5)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(24/25/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008039+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008039+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(96/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(96/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008039+(-((-(((1/25)*((7*x^3)+(20*x^2)+(18*x)+5))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(304/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008040+(-((-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008040+(-((-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(96/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(96/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(96/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008040+(-((-(((1/25)*((9*x^3)-x^2-(26*x)-62))/(x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(((3/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(298/75/(x-1)))+(-(144/25/(x-1)^2))+(-(96/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008041+(-((-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008041+(-((-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(136/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(136/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008041+(-((((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/6)*(x+2))/(x^2+x+1)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(383/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008042+(-((-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008042+(-((-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(136/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(136/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(136/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008042+(-((-(((2/7)*((2*x^5)-x^4-(3*x^3)-(5*x^2)-(8*x)-6))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(-(((1/6)*(x+2))/(x^2+x+1))))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/(x^2+1)))+(-(437/105/(x-1)))+(-(204/35/(x-1)^2))+(-(136/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008043+(-((-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(49/10/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(49/10/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008043+(-((-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(49/10/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(49/10/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008043+(-((((1/10)*((((7*x^3)-(4*x^2))+x)-8))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*((5*x^3)-(6*x^2)-(17*x)-12))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*(x^3-x-2))/(x^4+1))))+(-(-(1/(x^2+1))))+(-(7/40/(x+1)))+(-(31/8/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(49/10/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(49/10/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(49/10/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(49/10/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(49/10/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008044+(-((-(((1/5)*((((4*x^3)-(3*x^2))+(2*x))-6))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x^3-x-2))/(x^4+1)))+(-(1/(x^2+1)))+(-(7/40/(x+1)))+(-(171/40/(x-1)))+(-(147/20/(x-1)^2))+(-(49/10/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008045+(-((-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008045+(-((-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(248/63/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(248/63/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(248/63/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008045+(-((((1/7)*(((3*x^5)+(3*x^4))-(2*x^3)-(7*x^2)-(7*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/3)*(((2*x^5)+x^4)-x^3-x^2-(2*x)-2))/(x^6+x^3+1))))+(-(((1/27)*(x+2))/(x^2+x+1)))+(-(718/189/(x-1)))+(-(124/21/(x-1)^2))+(-(248/63/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A008047+(-((-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A008047+(-((-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A008047+(-((-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A338717 = ((None*(A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A339751 = ((None*(A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A339751 = ((None*(A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+1)))))
+A328685 = ((None*(A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(49/9/(x-1)^3))+1))))+(16*x^4)+(-(-(-(40*x^2))))+(-(-(-(32*x))))+(-(-(-((23*x)/(x^2+1)))))+(-(-(-(635/16/(x+1)))))+(-(-(1771/16/(x-1))))+(-(-((14*x)/(x^2+1)^2)))+(-(-(91/8/(x+1)^2)))+(-(-(297/4/(x-1)^2)))+(-(-(7/4/(x+1)^3)))+(-(28/(x-1)^3))+(-(33/2/(x-1)^4))+(-(15/(x-1)^5))+96)
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(49/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(49/9/(x-1)^3))+1)))))
+A339623 = ((None*(A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+1)))))
+A056205 = (None*differential((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+1)))))
+A339760 = (((-1)*(A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008047+(-((2*x)+(-(-(-(((1/4)*((7*x)-5))/(x^2+1)))))+(-(-(((1/27)*((4*x)-1))/(x^2+x+1))))+(-(-(((1/2)*((3*x)-5))/(x^2+1)^2)))+(-(-(1/4/(x+1))))+(-(-(143/54/(x-1))))+(-(-(((1/9)*(x-1))/(x^2+x+1)^2)))+(-(-(49/6/(x-1)^2)))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008048+(-((-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A338717 = ((None*(A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A339751 = ((None*(A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A339751 = ((None*(A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))+3)))))
+A328685 = ((None*(A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(49/9/(x-1)^3))+3))))+(16*x^4)+(-(-(-(40*x^2))))+(-(-(-(32*x))))+(-(-(-((23*x)/(x^2+1)))))+(-(-(-(635/16/(x+1)))))+(-(-(1771/16/(x-1))))+(-(-((14*x)/(x^2+1)^2)))+(-(-(91/8/(x+1)^2)))+(-(-(297/4/(x-1)^2)))+(-(-(7/4/(x+1)^3)))+(-(28/(x-1)^3))+(-(33/2/(x-1)^4))+(-(15/(x-1)^5))+96)
+A056205 = (None*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(49/9/(x-1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(49/9/(x-1)^3))+3)))))
+A339623 = ((None*(A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+3))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+3)))))
+A056205 = (None*differential((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+3)))))
+A339198 = (((-1)*(A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A008048+(-((-(((2/27)*((10*x)+11))/(x^2+x+1)))+(-(-(((1/4)*((2*x)-5))/(x^2+1))))+(-(-(((1/2)*((2*x)-3))/(x^2+1)^2)))+(-(-(5/8/(x+1))))+(-(-(677/216/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(49/6/(x-1)^2))+(-(1/(x^2+1)^3))+(-(49/9/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008066+(-((-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008066+(-((-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(17/5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(17/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(17/5/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008066+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(19/5/(x-1)))+(-(51/10/(x-1)^2))+(-(17/5/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008082+(-((-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008082+(-((-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(132/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(132/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008082+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/6)*(((9*x^3)+(5*x^2))-(9*x)-10))/((x^4-x^2)+1))))+(-(((1/5)*((3*x^3)-(5*x^2)-(13*x)-10))/(x^4+x^3+x^2+x+1)))+(-(((7/2)*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(96/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008083+(-((-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008083+(-((-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A309496 = ((None*(A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A056205 = (None*integrate((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(132/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(132/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008083+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-((4*(x-2))/((x^2-x)+1)))+(-(132/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008084+(-((-(1/(x^2+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008084+(-((-(1/(x^2+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A339623 = (((-(7/6))*differential((A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(11/3/(x-1)))+(-(4/(x-1)^3))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008084+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(11/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.25)*(A008085+(-((-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A008085+(-((-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008085+(-((-(4*x^2))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A056205 = (None*differential((A008085+(-((-(4*x^2))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A338200 = ((None*(A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A056205 = (None*differential((A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A339751 = ((None*(A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A056205 = (None*differential((A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A339623 = (((-(7/6))*differential((A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(4/(x-1)^3))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+3))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339198 = (((-1)*(A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A008085+(-((-(4*x^2))+(-(((2/3)*(x+2))/(x^2+x+1)))+(-(2/(x^2+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008093+(-((-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008093+(-((-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A309496 = ((None*(A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A056205 = (None*integrate((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(132/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(132/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008093+(-((((1/7)*(((22*x^5)+(15*x^4))-(17*x^3)-(49*x^2)-(56*x)-34))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/5)*((7*x^3)-(12*x^2)-(31*x)-24))/(x^4+x^3+x^2+x+1)))+(-((5*(x-2))/((x^2-x)+1)))+(-(124/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008094+(-((-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008094+(-((-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A309496 = ((None*(A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A056205 = (None*integrate((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(132/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(132/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(132/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008094+(-((-(((2/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((3*x^3)+x^2)-(3*x)-2))/((x^4-x^2)+1))))+(-(-(((6/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1))))+(-((5*(x-2))/((x^2-x)+1)))+(-(2/3/(x^2+1)))+(-(118/35/(x-1)))+(-(198/35/(x-1)^2))+(-(132/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008105+(-((-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-(20/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008105+(-((-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-(20/7/(x-1)^3))+(-1))))))
+A309496 = ((1*(A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-(20/7/(x-1)^3))+(-1)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A056205 = (None*integrate((A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-(20/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-(20/7/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(20/7/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(20/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(20/7/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-(20/7/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008105+(-((-(((1/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((x-2)/((x^2-x)+1)))+(-(4/(x-1)))+(-(30/7/(x-1)^2))+(-(20/7/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008110+(-((-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008110+(-((-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(123/35/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(123/35/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(123/35/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008110+(-((-(((1/7)*(((5*x^5)+(6*x^4))-(2*x^3)-(10*x^2)-(9*x)-4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(1/2/(x^2+1)))+(-(122/35/(x-1)))+(-(369/70/(x-1)^2))+(-(123/35/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008121+(-((-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008121+(-((-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A334514 = ((None*(A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1)))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(113/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008121+(-((((1/25)*(((9*x^3)+(25*x^2)+(11*x))-20))/(x^4+x^3+x^2+x+1))+(-(-(((1/2)*x)/(x^2+1))))+(-(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2)))+(-(-(193/50/(x-1))))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008122+(-((-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008122+(-((-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A334514 = ((None*(A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1)))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(113/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(113/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008122+(-((-(((2/25)*((x^3+(11*x^2)+(11*x))-18))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*x)/(x^2+1)))+(-(((4/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(221/50/(x-1)))+(-(x/(x^2+1)^2))+(-(339/50/(x-1)^2))+(-(113/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008124+(-((-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008124+(-((-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(1244/315/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(1244/315/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008124+(-((-(((1/7)*(x^5+(3*x^4)+(2*x^3)+x^2+(3*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((1/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1))))+(-(-(((1/5)*((2*x^3)-(3*x^2)-(8*x)-6))/(x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(1/(x^2+1)))+(-(3757/945/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008126+(-((-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008126+(-((-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(1244/315/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(1244/315/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(1244/315/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008126+(-((-(((2/3)*(((x^5-(6*x^4)-(3*x^3))+(6*x^2))-x-6))/(x^6+x^3+1)))+(-(-(((1/7)*(x^4-x^3-(3*x^2)-(2*x)-2))/(x^6+x^5+x^4+x^3+x^2+x+1))))+(-(((2/5)*(x^3-(2*x^2)-(5*x)-4))/(x^4+x^3+x^2+x+1)))+(-(((5/27)*(x+2))/(x^2+x+1)))+(-(3/(x^2+1)))+(-(529/135/(x-1)))+(-(622/105/(x-1)^2))+(-(1244/315/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008127+(-((-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008127+(-((-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A309496 = ((None*(A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A056205 = (None*integrate((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(636/175/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(636/175/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008127+(-((((1/7)*(((12*x^5)+(7*x^4))-(10*x^3)-(27*x^2)-(32*x)-20))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/25)*((28*x^2)+(36*x)+1))/(x^4+x^3+x^2+x+1))))+(-(-((2*(x-2))/((x^2-x)+1))))+(-(((1/5)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(26/7/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008128+(-((-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008128+(-((-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A309496 = ((None*(A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1)))))+(-(2*x^13))+(-(-(-(-(-(2*x^12))))))+(-(-(-(-(-(3*x^8))))))+(-(-(-(-(-(2*x^7))))))+(-(-(-(-(2*x^6)))))+(-(-(-(-(4*x^5)))))+(-(-(-(2*x^3))))+(-(-(-(6*x^2))))+(-(-x))+(-(-(((1/3)*((17*x)+9))/(x^2+x+1))))+(-(1/2/(x+1)))+(-(11/6/(x-1)))+(x/(x^2+x+1)^2)+(2/3/(x-1)^2)+2)
+A056205 = (None*integrate((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(636/175/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(636/175/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(636/175/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008128+(-((-(((2/7)*(((7*x^5)+(5*x^4))-(5*x^3)-(15*x^2)-(17*x)-10))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((2/25)*(((2*x^3)+(15*x^2)+(13*x))-5))/(x^4+x^3+x^2+x+1)))+(-((2*(x-2))/((x^2-x)+1)))+(-(((2/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(104/25/(x-1)))+(-(954/175/(x-1)^2))+(-(636/175/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008129+(-((-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008129+(-((-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008129+(-((-(((1/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((1/75)*(((8*x^3)+(9*x^2))-(10*x)-12))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*((x^3+x^2)-x-1))/(x^4+x^3+x^2+x+1)^2))+(-(86/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008130+(-((-(1/27/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1/3/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A008130+(-((-(1/27/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1/3/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A339751 = ((None*(A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1/3/(x-1)^2))+(-(2/9/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1/3/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1/3/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*integrate((A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(1/27/(x-1)))+(-(1/3/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(1/27/(x-1)))+(-(1/3/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A339751 = ((None*(A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(1/27/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(2/9/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(1/27/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(1/27/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(2/9/(x-1)^3)))))))
+A339623 = ((None*(A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(1/27/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1/3/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(1/27/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1/3/(x-1)^2)))))))
+A056205 = (None*differential((A008130+(-((-(((1/27)*(x-7))/(x^2+x+1)))+(-(1/27/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1/3/(x-1)^2)))))))
+A056205 = (None*integrate((A008131+(-((-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008131+(-((-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008131+(-((-(((2/3)*((((2*x^7)-x^6-(2*x^5))+x^4+x^2)-2))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(((2/75)*(((17*x^3)+(18*x^2))-(16*x)-54))/(x^4+x^3+x^2+x+1)))+(-(((2/15)*(((8*x^3)+(5*x^2))-(5*x)-8))/(x^4+x^3+x^2+x+1)^2))+(-(78/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008132+(-((-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008132+(-((-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(104/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(104/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008132+(-((((1/50)*(((14*x^3)+(15*x^2))-(14*x)-40))/(x^4+x^3+x^2+x+1))+(-(((1/2)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)))+(-(((1/5)*(((3*x^3)+(2*x^2))-(2*x)-3))/(x^4+x^3+x^2+x+1)^2))+(-(82/25/(x-1)))+(-(156/25/(x-1)^2))+(-(104/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008133+(-((-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(5/27/(x-1)))+(-(4/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A008133+(-((-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(5/27/(x-1)))+(-(4/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*integrate((A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(5/27/(x-1)))+(-(4/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(5/27/(x-1)))+(-(4/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A339751 = ((None*(A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(4/9/(x-1)^2))+(-(2/9/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(4/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(4/9/(x-1)^2))+(-(2/9/(x-1)^3)))))))
+A339751 = ((None*(A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(5/27/(x-1)))+(-(2/9/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(5/27/(x-1)))+(-(2/9/(x-1)^3)))))))
+A056205 = (None*differential((A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(5/27/(x-1)))+(-(2/9/(x-1)^3)))))))
+A339623 = ((None*(A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(5/27/(x-1)))+(-(4/9/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(5/27/(x-1)))+(-(4/9/(x-1)^2)))))))
+A056205 = (None*differential((A008133+(-((((5/27)*(x-1))/(x^2+x+1))+(-(((1/9)*(x+2))/(x^2+x+1)^2))+(-(5/27/(x-1)))+(-(4/9/(x-1)^2)))))))
+A056205 = (None*integrate((A008137+(-((-(4/(x-1)))+(-(24/5/(x-1)^2))+(-(16/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008137+(-((-(4/(x-1)))+(-(24/5/(x-1)^2))+(-(16/5/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008137+(-((-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(16/5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008137+(-((-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(16/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008137+(-((-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(16/5/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008137+(-((-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(24/5/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008137+(-((-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(24/5/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008137+(-((-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(24/5/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008137+(-((-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(24/5/(x-1)^2))+(-(16/5/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008137+(-((-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)))+(-(24/5/(x-1)^2))+(-(16/5/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008138+(-((-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008138+(-((-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(26/7/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(26/7/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008138+(-((((1/7)*(((69*x^5)+(44*x^4))-(56*x^3)-(156*x^2)-(181*x)-112))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(((1/3)*(((46*x^5)+(13*x^4))-(29*x^3)-(13*x^2)-(46*x)-58))/(x^6+x^3+1)))+(-(((3/2)*((17*x^3)-(17*x)-24))/(x^4+1)))+(-(1/2/(x^2+1)))+(-(155/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008139+(-((-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008139+(-((-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(26/7/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(26/7/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(26/7/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008139+(-((-(((1/7)*(((25*x^5)+(18*x^4))-(19*x^3)-(56*x^2)-(63*x)-38))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(-(((2/3)*(((13*x^5)+(4*x^4))-(8*x^3)-(4*x^2)-(13*x)-16))/(x^6+x^3+1))))+(-(((1/2)*((25*x^3)-(25*x)-36))/(x^4+1)))+(-(3/2/(x^2+1)))+(-(179/42/(x-1)))+(-(39/7/(x-1)^2))+(-(26/7/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008160+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(28/5/(x-1)^2))+(-(56/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008160+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(28/5/(x-1)^2))+(-(56/15/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(28/5/(x-1)^2))+(-(56/15/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(28/5/(x-1)^2))+(-(56/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(28/5/(x-1)^2))+(-(56/15/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(56/15/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(56/15/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(56/15/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(28/5/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(28/5/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(28/5/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(28/5/(x-1)^2))+(-(56/15/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008160+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(((1/9)*(x+2))/(x^2+x+1)))+(-(166/45/(x-1)))+(-(28/5/(x-1)^2))+(-(56/15/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*(A008181+(-((-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A008181+(-((-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((None*(A008181+(-((-x^2)+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A338200 = ((None*(A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A338717 = ((None*(A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A339751 = ((None*(A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A334514 = ((None*(A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))+2)))))
+A339751 = ((None*(A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/54/(x-1)^3))+2))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/54/(x-1)^3))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/54/(x-1)^3))+2)))))
+A339623 = ((None*(A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+2))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+2)))))
+A056205 = (None*differential((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+2)))))
+A339610 = (((-1)*(A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A339760 = ((0.5*integrate((A008181+(-((-x^2)+(-(-(-x)))+(-(-(-(((1/432)*((797*x)+742))/(x^2+x+1)))))+(-(-(((1/144)*((79*x)+4))/((x^2-x)+1))))+(-(-(5/4/(x^2+1))))+(-(-(((1/27)*((7*x)-10))/(x^2+x+1)^2)))+(-(-(13/36/(x+1))))+(-(-(((1/24)*(x+1))/((x^2-x)+1)^2)))+(-(-(361/108/(x-1))))+(-(-(1/2/(x^2+1)^2)))+(-(((1/36)*((2*x)+1))/(x^2+x+1)^3))+(-(287/36/(x-1)^2))+(-(287/54/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008217+(-((-(-(3/32/(x+1))))+(-(-(7/32/(x-1))))+(-(1/4/(x^2+1)^2))+(-(5/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A008217+(-((-(-(3/32/(x+1))))+(-(-(7/32/(x-1))))+(-(1/4/(x^2+1)^2))+(-(5/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A339751 = ((None*(A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(1/4/(x^2+1)^2))+(-(5/16/(x-1)^2))+(-(1/8/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(1/4/(x^2+1)^2))+(-(5/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(1/4/(x^2+1)^2))+(-(5/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A334514 = ((None*(A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(-(7/32/(x-1))))+(-(5/16/(x-1)^2))+(-(1/8/(x-1)^3))))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(-(7/32/(x-1))))+(-(5/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(-(7/32/(x-1))))+(-(5/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A339751 = ((None*(A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(-(7/32/(x-1))))+(-(1/4/(x^2+1)^2))+(-(1/8/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(-(7/32/(x-1))))+(-(1/4/(x^2+1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A008217+(-((((1/8)*(x-3))/(x^2+1))+(-(-(3/32/(x+1))))+(-(-(7/32/(x-1))))+(-(1/4/(x^2+1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*integrate((A008218+(-((-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(1/64/(x+1)^3)+(15/64/(x-1)^3)+(3/32/(x-1)^4))))))
+A056205 = (None*differential((A008218+(-((-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(1/64/(x+1)^3)+(15/64/(x-1)^3)+(3/32/(x-1)^4))))))
+A056205 = (None*integrate((A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(1/64/(x+1)^3)+(15/64/(x-1)^3)+(3/32/(x-1)^4))))))
+A056205 = (None*differential((A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(1/64/(x+1)^3)+(15/64/(x-1)^3)+(3/32/(x-1)^4))))))
+A056205 = (None*integrate((A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(1/64/(x+1)^3)+(15/64/(x-1)^3)+(3/32/(x-1)^4))))))
+A056205 = (None*differential((A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(1/64/(x+1)^3)+(15/64/(x-1)^3)+(3/32/(x-1)^4))))))
+A336974 = ((None*(A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(15/64/(x-1)^3)+(3/32/(x-1)^4)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(15/64/(x-1)^3)+(3/32/(x-1)^4))))))
+A056205 = (None*differential((A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(15/64/(x-1)^3)+(3/32/(x-1)^4))))))
+A339623 = ((None*(A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(1/64/(x+1)^3)+(3/32/(x-1)^4)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(1/64/(x+1)^3)+(3/32/(x-1)^4))))))
+A056205 = (None*differential((A008218+(-((-(((1/16)*(x+1))/(x^2+1)))+(-(-(((1/8)*((2*x)-1))/(x^2+1)^2)))+(-(-(1/16/(x+1))))+(-(-(1/32/(x+1)^2)))+(-(5/32/(x-1)^2))+(-(((1/8)*(x-1))/(x^2+1)^3))+(1/64/(x+1)^3)+(3/32/(x-1)^4))))))
+A056205 = (None*integrate((A008228+(-((-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(286/75/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(286/75/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008228+(-((-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(286/75/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(286/75/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(286/75/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008228+(-((((1/100)*((15*x^3)-(48*x^2)-(91*x)-41))/(x^4+x^3+x^2+x+1))+(-(-(((1/4)*((3*x^3)-(2*x^2)-x-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/9)*(x+2))/(x^2+x+1))))+(-(((1/20)*(((5*x^3)+(3*x^2))-(3*x)-5))/(x^4+x^3+x^2+x+1)^2))+(-(((1/4)*((x^3-x^2-x)+1))/((((x^4-x^3)+x^2)-x)+1)^2))+(-(1/(x^2+1)))+(-(148/45/(x-1)))+(-(143/25/(x-1)^2))+(-(286/75/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008233+(-((-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A338717 = ((None*(A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A339751 = ((None*(A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A338544 = ((None*(A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5))))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A328685 = ((None*(A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5))))))+(16*x^4)+(-(-(-(40*x^2))))+(-(-(-(32*x))))+(-(-(-((23*x)/(x^2+1)))))+(-(-(-(635/16/(x+1)))))+(-(-(1771/16/(x-1))))+(-(-((14*x)/(x^2+1)^2)))+(-(-(91/8/(x+1)^2)))+(-(-(297/4/(x-1)^2)))+(-(-(7/4/(x+1)^3)))+(-(28/(x-1)^3))+(-(33/2/(x-1)^4))+(-(15/(x-1)^5))+96)
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A336974 = ((None*(A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5))))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A339623 = ((None*(A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(15/64/(x-1)^4))+(-(3/32/(x-1)^5)))))))
+A338588 = ((None*(A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(3/32/(x-1)^5))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(3/32/(x-1)^5)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(3/32/(x-1)^5)))))))
+A337962 = ((None*(A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4)))))))
+A056205 = (None*differential((A008233+(-((-(((1/32)*(x-1))/(x^2+1)))+(-(-(13/512/(x+1))))+(-(-(3/512/(x-1))))+(-(-(((1/16)*(x-3))/(x^2+1)^2)))+(-(-(3/256/(x+1)^2)))+(-(1/8/(x^2+1)^3))+(-(1/128/(x+1)^3))+(-(5/32/(x-1)^3))+(-(15/64/(x-1)^4)))))))
+A056205 = (None*integrate((A008238+(-((-(1/32/(x+1)))+(-(3/32/(x-1)))+(-(((1/4)*x)/(x^2+1)^2))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A008238+(-((-(1/32/(x+1)))+(-(3/32/(x-1)))+(-(((1/4)*x)/(x^2+1)^2))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A338717 = ((None*(A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(3/32/(x-1)))+(-(((1/4)*x)/(x^2+1)^2))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3))))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(3/32/(x-1)))+(-(((1/4)*x)/(x^2+1)^2))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(3/32/(x-1)))+(-(((1/4)*x)/(x^2+1)^2))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A339751 = ((None*(A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(1/32/(x+1)))+(-(((1/4)*x)/(x^2+1)^2))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(1/32/(x+1)))+(-(((1/4)*x)/(x^2+1)^2))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(1/32/(x+1)))+(-(((1/4)*x)/(x^2+1)^2))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A334514 = ((None*(A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(1/32/(x+1)))+(-(3/32/(x-1)))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3))))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(1/32/(x+1)))+(-(3/32/(x-1)))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A056205 = (None*differential((A008238+(-((-(((1/8)*(x-1))/(x^2+1)))+(-(1/32/(x+1)))+(-(3/32/(x-1)))+(-(3/16/(x-1)^2))+(-(1/8/(x-1)^3)))))))
+A167624 = ((None*(A008239+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1)))))+((8*(((x^7-x^5)+x^3)-x))/(x^8+1))+(-(13/2/(x+1)))+(-(13/2/(x-1))))
+A056205 = (None*integrate((A008239+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008239+(-((-(((1/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008239+(-((-((x^3-x)/(x^4+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008239+(-((-((x^3-x)/(x^4+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008239+(-((-((x^3-x)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008239+(-((-((x^3-x)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008239+(-((-((x^3-x)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+(-1))))))
+A339623 = (((-(7/6))*differential((A008239+(-((-((x^3-x)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(4/(x-1)^3))+(-1))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A008239+(-((-((x^3-x)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A008239+(-((-((x^3-x)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A008239+(-((-((x^3-x)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008239+(-((-((x^3-x)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(10/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.25)*(A008240+(-((-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.125)*differential((A008240+(-((-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008240+(-((-(4*x^2))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A056205 = (None*differential((A008240+(-((-(4*x^2))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A056205 = (None*integrate((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A056205 = (None*differential((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A338200 = ((None*(A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A056205 = (None*differential((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A339751 = ((None*(A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A056205 = (None*differential((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))+3)))))
+A339623 = (((-(7/6))*differential((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(4/(x-1)^3))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = (((7/2)*(A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+3))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = ((9*differential((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+3)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339198 = (((-1)*(A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A008240+(-((-(4*x^2))+(-((x^3+(2*x^2)+x)/(x^4+1)))+(-(((4/3)*(x+2))/(x^2+x+1)))+(-(x/(x^2+1)))+(-(8/3/(x-1)))+(-(6/(x-1)^2))+(-(4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008245+(-((-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008245+(-((-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(27/8/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(27/8/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(27/8/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008245+(-((((1/14)*(((23*x^5)+(18*x^4))-(15*x^3)-(48*x^2)-(53*x)-30))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(((1/14)*((((((17*x^5)-(6*x^4))+(9*x^3))-(12*x^2))+x)-18))/((((((x^6-x^5)+x^4)-x^3)+x^2)-x)+1))))+(-(-(((1/4)*(x^3-x-2))/(x^4+1))))+(-(-(3/8/(x^2+1))))+(-(27/224/(x+1)))+(-(963/224/(x-1)))+(-(81/16/(x-1)^2))+(-(27/8/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*(A008247+(-((-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A008247+(-((-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A008247+(-((-x^2)+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A008247+(-((-x^2)+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339751 = ((None*(A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339751 = ((None*(A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339623 = ((None*(A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-1)*(A008247+(-((-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.5)*differential((A008247+(-((-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*(A008247+(-((-x^2)+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*differential((A008247+(-((-x^2)+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339751 = ((None*(A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339751 = ((None*(A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339623 = ((None*(A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1)))))
+A056205 = (None*differential((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008247+(-((-x^2)+(-(-x))+(-(((1/7)*((((5*x^4)+(2*x^3))-x^2)+(4*x)+4))/(x^6+x^5+x^4+x^3+x^2+x+1)))+(-(((1/5)*(((4*x^3)+(7*x^2)+(5*x))-1))/(x^4+x^3+x^2+x+1)))+(-(((1/27)*((14*x)+37))/(x^2+x+1)))+(-(((1/2)*(x+1))/(x^2+1)))+(-(1021/270/(x-1)))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((4*(A008248+(-((-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A008248+(-((-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((None*(A008248+(-((-x^3)+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339751 = ((None*(A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339751 = ((None*(A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339623 = ((None*(A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = ((4*(A008248+(-((-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = (((-0.3333333333333333)*differential((A008248+(-((-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((None*(A008248+(-((-x^3)+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339751 = ((None*(A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339751 = ((None*(A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(1508/315/(x-1)^3))+1)))))
+A339623 = ((None*(A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1)))))
+A056205 = (None*differential((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008248+(-((-x^3)+(-(-(-(2*x^2))))+(-(-(-(((1/7)*((((3*x^5)+(15*x^4)+(7*x^3))-x^2)+(11*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/5)*(x^2+(2*x)+2))/(x^4+x^3+x^2+x+1)))))+(-(-(((1/27)*((7*x)+32))/(x^2+x+1))))+(-(-(724/189/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(754/105/(x-1)^2))+(-(1508/315/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A008249+(-((-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A008249+(-((-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((None*(A008249+(-(x^3+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A008249+(-(x^3+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008249+(-(x^3+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A339760 = ((0.3333333333333333*(A008249+(-(x^3+(-(-(2*x^2)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339198 = (((-1)*differential((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A056205 = (None*integrate((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A338200 = ((None*(A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A339751 = ((None*(A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A339623 = (((-(7/9))*differential((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(17/3/(x-1)^3))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+3))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+3)))))
+A056205 = (None*differential((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+3)))))
+A339198 = (((-1)*(A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A008249+(-(x^3+(-(-(2*x^2)))+(-(-(3*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(((1/2)*x)/(x^2+1)))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A337120 = (((-4)*(A008250+(-((-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A339623 = ((0.3333333333333333*differential((A008250+(-((-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339623 = ((None*(A008250+(-(x^3+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A008250+(-(x^3+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008250+(-(x^3+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A339760 = ((None*(A008250+(-(x^3+(-(-(2*x^2)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*integrate((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A338200 = ((None*(A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A339751 = ((None*(A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A056205 = (None*differential((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))+3)))))
+A339623 = (((-(7/9))*differential((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(17/3/(x-1)^3))+3)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A339623 = ((None*(A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+3))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+3)))))
+A056205 = (None*differential((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+3)))))
+A339198 = (((-1)*(A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3))))))+(-(((1/1387778)*(((((((((4.512967088*E9*x^15)+(5.372053768*E9*x^14)+(551363467*x^13)+(3.2388229721*E10*x^12))-(1.04419471461*E11*x^11)-(1739775521*x^10))+(3.33037912545*E11*x^9))-(5.70427537516*E11*x^8))+(1.302745134058*E12*x^7))-(1.191299779268*E12*x^6)-(1.051534354561*E12*x^5))+(2.44897489186*E11*x^4)+(2.4689840671*E10*x^3)+(2.858045641*E9*x^2)+(1346661735*x))-40954085))/((((((((((((112*x^16)+(8*x^15))-(217*x^14))+(904*x^13))-(2866*x^12))+(1756*x^11)+(7818*x^10))-(22167*x^9))+(45698*x^8))-(61238*x^7))+(8041*x^6)+(31909*x^5))-(5819*x^4)-(538*x^3)-(36*x^2)-(34*x))+1)))+(-(27804347/1387778/(x-1)))+(-(5394/833/(x-1)^2)))
+A339760 = ((0.3333333333333333*integrate((A008250+(-(x^3+(-(-(2*x^2)))+(-(-(5*x)))+(-(-(((2/9)*(x+2))/(x^2+x+1))))+(-(-(((3/2)*x)/(x^2+1))))+(-(1/4/(x+1)))+(-(55/36/(x-1)))+(-(9/(x-1)^2))+(-(17/3/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((0.5*(A008252+(-((-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*integrate((A008252+(-((-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339610 = (((-1)*differential((A008252+(-((-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))+((3*(x-2))/((x^2+x)-1))+(-(((7*x)-4)/((x^2+x)-1)^2)))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A338544 = ((None*(A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1)))))+(7/16/(x+1))+(-(23/16/(x-1)))+(-(11/4/(x-1)^2))+(-(5/4/(x-1)^3)))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))+(-1))))))
+A336974 = ((None*(A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(279/50/(x-1)^3))+(-1)))))+(-(((1/27)*((4*x)+9))/(x^2+x+1)))+(-(-(((1/8)*(x+2))/(x^2+1))))+(-(-(9/128/(x+1))))+(-(-(((2/9)*(x+1))/(x^2+x+1)^2)))+(-(-(((3/16)*(x+1))/(x^2+1)^2)))+(-(-(163/3456/(x-1))))+(-(3/32/(x+1)^2))+(-(71/1728/(x-1)^2))+(65/576/(x-1)^3)+(29/288/(x-1)^4))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(279/50/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(279/50/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-1))))))
+A056205 = (None*differential((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-1))))))
+A339760 = ((1*(A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008252+(-((2*x)+(-(-(-(-(((1/25)*((8*x^3)+(19*x^2)+(56*x)+42))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((2/9)*((2*x)-1))/((x^2-x)+1)))))+(-(-(-(((1/4)*(x+7))/(x^2+1)))))+(-(-(-(((2/5)*((3*x^2)+(5*x)+2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(359/144/(x+1)))))+(-(-(-(1147/400/(x-1)))))+(-(-(((1/2)*(x-1))/(x^2+1)^2)))+(-(-(2/3/(x+1)^2)))+(-(-(1701/200/(x-1)^2)))+(-(1/12/(x+1)^3))+(-(279/50/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008253+(-((1/4/(x+1))+(-(15/2/(x-1)^2))+(-(5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008253+(-((1/4/(x+1))+(-(15/2/(x-1)^2))+(-(5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008253+(-((1/4/(x+1))+(-(15/2/(x-1)^2))+(-(5/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008253+(-((1/4/(x+1))+(-(17/4/(x-1)))+(-(5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008253+(-((1/4/(x+1))+(-(17/4/(x-1)))+(-(5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008253+(-((1/4/(x+1))+(-(17/4/(x-1)))+(-(5/(x-1)^3))+(-1))))))
+A339623 = (((14/5)*(A008253+(-((1/4/(x+1))+(-(17/4/(x-1)))+(-(15/2/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A338588 = (((36/5)*differential((A008253+(-((1/4/(x+1))+(-(17/4/(x-1)))+(-(15/2/(x-1)^2))+(-1))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A339760 = ((1*(A008253+(-((1/4/(x+1))+(-(17/4/(x-1)))+(-(15/2/(x-1)^2))+(-(5/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008253+(-((1/4/(x+1))+(-(17/4/(x-1)))+(-(15/2/(x-1)^2))+(-(5/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.5)*(A008254+(-((-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A008254+(-((-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008254+(-((-(2*x^2))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008254+(-((-(2*x^2))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1)))))
+A339751 = ((None*(A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+1)))))
+A339751 = ((None*(A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(40/9/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(40/9/(x-1)^3))+1)))))
+A056205 = (None*differential((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(40/9/(x-1)^3))+1)))))
+A339623 = ((None*(A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+1)))))
+A056205 = (None*differential((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008254+(-((-(2*x^2))+(-(-(((8/27)*((7*x)+5))/(x^2+x+1))))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008255+(-((-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008255+(-((-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(40/9/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(40/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(40/9/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008255+(-((-(((2/27)*(x-7))/(x^2+x+1)))+(-(-(106/27/(x-1))))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(20/3/(x-1)^2))+(-(40/9/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A008256+(-((-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A008256+(-((-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A008256+(-(x^2+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A008256+(-(x^2+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A323191 = ((None*(A008256+(-(x^2+(-x)+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(1/(x+1)))+(-1))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(21/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(21/4/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = ((1*(A008256+(-((-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = ((0.5*differential((A008256+(-((-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = (((-1)*(A008256+(-(x^2+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((1*differential((A008256+(-(x^2+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A323191 = ((None*(A008256+(-(x^2+(-x)+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(1/(x+1)))+(-1))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(21/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(21/4/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008256+(-(x^2+(-x)+(-(((1/2)*x^2)/(x^4+1)))+(-(((1/5)*(x^3+(25*x^2)+(37*x)+22))/(x^4+x^3+x^2+x+1)))+(-(((1/3)*(x+2))/(x^2+x+1)))+(-(((1/3)*(x-8))/((x^2-x)+1)))+(-(1/2/(x^2+1)))+(-(1/48/(x+1)))+(-(683/240/(x-1)))+(-(319/40/(x-1)^2))+(-(21/4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.5)*(A008258+(-((-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A008258+(-((-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008258+(-((-(2*x^2))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008258+(-((-(2*x^2))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(44/9/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008258+(-((-(2*x^2))+(-(((2/27)*((4*x)-1))/(x^2+x+1)))+(-(116/27/(x-1)))+(-(((2/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008259+(-((-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008259+(-((-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(44/9/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(44/9/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008259+(-((((1/27)*((2*x)+13))/(x^2+x+1))+(-(-(110/27/(x-1))))+(-(((1/9)*(x-1))/(x^2+x+1)^2))+(-(22/3/(x-1)^2))+(-(44/9/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008260+(-((-(19/5/(x-1)))+(-(33/5/(x-1)^2))+(-(22/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008260+(-((-(19/5/(x-1)))+(-(33/5/(x-1)^2))+(-(22/5/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(33/5/(x-1)^2))+(-(22/5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(33/5/(x-1)^2))+(-(22/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(33/5/(x-1)^2))+(-(22/5/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(22/5/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(22/5/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(22/5/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(33/5/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(33/5/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(33/5/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(33/5/(x-1)^2))+(-(22/5/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008260+(-((-(((1/5)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)))+(-(19/5/(x-1)))+(-(33/5/(x-1)^2))+(-(22/5/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339623 = (((-0.5)*(A008262+(-((-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A339760 = (((-0.25)*differential((A008262+(-((-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339760 = ((None*(A008262+(-((-(2*x^2))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A339751 = ((None*(A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A334514 = ((None*(A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+1)))))
+A339751 = ((None*(A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/189/(x-1)^3))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/189/(x-1)^3))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/189/(x-1)^3))+1)))))
+A339623 = ((None*(A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+1)))))
+A056205 = (None*differential((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+1)))))
+A339760 = (((-1)*(A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008262+(-((-(2*x^2))+(-(-(-(-(2*x)))))+(-(-(-(((1/7)*((((6*x^5)+(18*x^4)+(5*x^3))-(8*x^2))+(4*x)+10))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/9)*(((((4*x^5)-(2*x^4))+x^3+(2*x^2))-(4*x))+2))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((71*x)+178))/(x^2+x+1)))))+(-(-(-(((1/2)*(x-2))/((x^2-x)+1)))))+(-(-(((3/2)*(x-2))/(x^2+1))))+(-(-(4381/1134/(x-1))))+(-(-(((2/27)*(x-1))/(x^2+x+1)^2)))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008263+(-((-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A334514 = ((None*(A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1)))))+(-(8*x^16))+(-(-(65*x^13)))+(-(-(33*x^11)))+(-(-(6*x^8)))+(-(-(10*x^6)))+(-(-(5*x^5)))+(-(-(2*x^4)))+(-(-(9*x^3)))+(-(-(2*x^2)))+(-(-(2*x)))+(-(1/(x^2+1)))+(-(5/4/(x+1)))+(-(11/4/(x-1)))+(-(5/4/(x+1)^2))+(11/4/(x-1)^2))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/189/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/189/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008263+(-((((2/7)*(x^5+(12*x^4)+(7*x^3)+(2*x^2)+(13*x)+14))/(x^6+x^5+x^4+x^3+x^2+x+1))+(-(-(-(((2/9)*(((x^5-(2*x^4)-(2*x^3))+(2*x^2))-x-4))/(x^6+x^3+1)))))+(-(-(-(((1/162)*((149*x)+226))/(x^2+x+1)))))+(-(-(((1/2)*(x-2))/((x^2-x)+1))))+(-(-(((1/2)*(x-4))/(x^2+1))))+(-(-(4699/1134/(x-1))))+(-(((4/27)*(x-1))/(x^2+x+1)^2))+(-(x/(x^2+1)^2))+(-(941/126/(x-1)^2))+(-(941/189/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(63/8/(x-1)^2))+(-(21/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(63/8/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(63/8/(x-1)^2))+(-(21/4/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(67/16/(x-1)))+(-(21/4/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(67/16/(x-1)))+(-(21/4/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(67/16/(x-1)))+(-(21/4/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(67/16/(x-1)))+(-(63/8/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(67/16/(x-1)))+(-(63/8/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(67/16/(x-1)))+(-(63/8/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(67/16/(x-1)))+(-(63/8/(x-1)^2))+(-(21/4/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008264+(-((1/4/(x^2+1))+(-(3/16/(x+1)))+(-(67/16/(x-1)))+(-(63/8/(x-1)^2))+(-(21/4/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008265+(-((-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008265+(-((-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(114/25/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(114/25/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(114/25/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008265+(-((-(((1/25)*((x^3+(6*x^2)+x)-28))/(x^4+x^3+x^2+x+1)))+(-(((2/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(99/25/(x-1)))+(-(171/25/(x-1)^2))+(-(114/25/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008266+(-((-(1/2/(x^2+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008266+(-((-(1/2/(x^2+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))+(-1))))))
+A338200 = ((None*(A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))+(-1)))))+(((1/9)*(x+1))/(x^2+x+1))+(-(1/32/(x+1)))+(-(77/288/(x-1)))+(-(1/32/(x+1)^2))+(-(193/288/(x-1)^2))+(-(1/4/(x-1)^3))+(1/24/(x-1)^4))
+A056205 = (None*integrate((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(34/9/(x-1)))+(-(11/3/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(34/9/(x-1)))+(-(11/3/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008266+(-((-(((2/9)*(x+2))/(x^2+x+1)))+(-(1/2/(x^2+1)))+(-(34/9/(x-1)))+(-(11/2/(x-1)^2))+(-(11/3/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A335365 = ((7*(A008267+(-((-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(2*x^10)+(5*x^9)+(10*x^7)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((1.25*differential((A008267+(-((-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A335365 = ((None*(A008267+(-(x^8+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(2*x^10)+(5*x^9)+(7*x^8)+(12*x^6)+(15*x^5)+(17*x^4)+(20*x^3)+(24*x^2)+(27*x)+(35/(x-1))+(5/(x-1)^2)+30)
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A338024 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(-(-(2*x^5)))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A338024 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(-(2*x^6))+(-(-(3*x^4)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A338024 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(-(2*x^6))+(-(-(2*x^5)))+(-((5/2)*x^2))+(-((1/2)*x))+(-(((1/4)*((14*x^2)+(11*x)+22))/(((2*x^3)+x)-1)))+(-(1/4/(x+1)))+(8/(x-1))+(11/4))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A337120 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(-x^6)+(-(2*x^5))+(-(4*x^4))+(-(4*x^2))+(-(2*x))+(4/(x-1))+(4/(x-1)^2)+1)
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(-(37/(x-1)))+(-(39/(x-1)^2))+(-(14/(x-1)^3))+(-12))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A339760 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A338717 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))+(-1))))))
+A339751 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(1363/189/(x-1)^3))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(1363/189/(x-1)^3))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(1363/189/(x-1)^3))+(-1))))))
+A339623 = ((None*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-1))))))
+A056205 = (None*differential((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-1))))))
+A339760 = ((1*(A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008267+(-(x^8+(-(-(-(-(2*x^7)))))+(-(-(-(-x^6))))+(-(-(-(-x^5))))+(-(-(-(-(6*x^4)))))+(-(-(-(-(5*x^3)))))+(-(-(-x^2)))+(-(-(-(3*x))))+(-(-(-(((1/7)*((4*x^5)+x^4+(3*x^2)+(5*x)+1))/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((2/5)*(((4*x^2)+(2*x))-1))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/36)*((17*x)+222))/(x^2+x+1)))))+(-(-(-(((1/36)*((17*x)-16))/((x^2-x)+1)))))+(-(-(((1/2)*(x+1))/(x^2+1))))+(-(-(((1/108)*((215*x)+328))/(x^2+x+1)^2)))+(-(-(5/18/(x+1))))+(-(-(176/63/(x-1))))+(-(((1/12)*(x-2))/((x^2-x)+1)^2))+(-(((4/9)*((2*x)+1))/(x^2+x+1)^3))+(-(532/45/(x-1)^2))+(-(1363/189/(x-1)^3)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008340+(-((26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008340+(-((26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A056205 = (None*differential((A008340+(-((26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A339751 = ((None*(A008340+(-((240/(x-1))+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008340+(-((240/(x-1))+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A056205 = (None*differential((A008340+(-((240/(x-1))+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A339623 = ((None*(A008340+(-((240/(x-1))+(26160/(x-1)^2)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A056205 = (None*differential((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A338588 = ((None*(A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A056205 = (None*differential((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A337962 = ((None*(A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A056205 = (None*differential((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A337962 = ((None*(A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A056205 = (None*differential((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(1399680/(x-1)^7)+(328320/(x-1)^8)+1)))))
+A337962 = ((None*(A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(328320/(x-1)^8)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(328320/(x-1)^8)+1)))))
+A056205 = (None*differential((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(328320/(x-1)^8)+1)))))
+A337962 = ((None*(A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+1)))))
+A056205 = (None*differential((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+1)))))
+A339760 = (((-1)*(A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008340+(-((240/(x-1))+(26160/(x-1)^2)+(259200/(x-1)^3)+(1045440/(x-1)^4)+(2160000/(x-1)^5)+(2419200/(x-1)^6)+(1399680/(x-1)^7)+(328320/(x-1)^8))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A338192 = ((1*(A008346+(-(1/(x+1)))))+(-(x^2/((x^3+x^2+x)-1))))
+A339751 = ((None*(A008349+(-((-(1/(x-1)))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008349+(-((-(1/(x-1)))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A056205 = (None*differential((A008349+(-((-(1/(x-1)))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A339623 = ((None*(A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A056205 = (None*differential((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A338588 = ((None*(A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A056205 = (None*differential((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A337962 = ((None*(A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A056205 = (None*differential((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A337962 = ((None*(A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A056205 = (None*differential((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A337962 = ((None*(A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A056205 = (None*differential((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(1399680/(x-1)^8))+(-(328320/(x-1)^9)))))))
+A337962 = ((None*(A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(328320/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(328320/(x-1)^9)))))))
+A056205 = (None*differential((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(328320/(x-1)^9)))))))
+A337962 = (((103/3648)*(A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A337962 = (((-(153/152))*integrate((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8)))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A337406 = (((-(275275/2736))*differential((A008349+(-((-(1/(x-1)))+(-(240/(x-1)^2))+(-(26160/(x-1)^3))+(-(259200/(x-1)^4))+(-(1045440/(x-1)^5))+(-(2160000/(x-1)^6))+(-(2419200/(x-1)^7))+(-(1399680/(x-1)^8)))))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A339760 = ((1*(A008353+(-(-(2/((4*x)-1))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-1))
+A337631 = (((-1)*differential((A008353+(-(-(2/((4*x)-1)))))))+(-(26/((2*x)-1)))+(-(13/(x-1)))+(-(14/((2*x)-1)^2))+(-(3/(x-1)^2)))
+A339751 = ((None*(A008355+(-((-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008355+(-((-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1))))))
+A056205 = (None*differential((A008355+(-((-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1))))))
+A339751 = ((None*(A008355+(-((-(40/(x-1)))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008355+(-((-(40/(x-1)))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1))))))
+A056205 = (None*differential((A008355+(-((-(40/(x-1)))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1))))))
+A339623 = ((None*(A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1))))))
+A056205 = (None*differential((A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))+(-1))))))
+A338588 = ((None*(A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(432/(x-1)^5))+(-1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(432/(x-1)^5))+(-1))))))
+A056205 = (None*differential((A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(432/(x-1)^5))+(-1))))))
+A337962 = ((None*(A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-1))))))
+A056205 = (None*differential((A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-1))))))
+A339760 = ((1*(A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-(432/(x-1)^5))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008355+(-((-(40/(x-1)))+(-(330/(x-1)^2))+(-(940/(x-1)^3))+(-(1080/(x-1)^4))+(-(432/(x-1)^5)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008356+(-((1/(x-1))+(330/(x-1)^3)+(940/(x-1)^4)+(1080/(x-1)^5)+(432/(x-1)^6)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008356+(-((1/(x-1))+(330/(x-1)^3)+(940/(x-1)^4)+(1080/(x-1)^5)+(432/(x-1)^6))))))
+A056205 = (None*differential((A008356+(-((1/(x-1))+(330/(x-1)^3)+(940/(x-1)^4)+(1080/(x-1)^5)+(432/(x-1)^6))))))
+A339623 = ((None*(A008356+(-((1/(x-1))+(40/(x-1)^2)+(940/(x-1)^4)+(1080/(x-1)^5)+(432/(x-1)^6)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008356+(-((1/(x-1))+(40/(x-1)^2)+(940/(x-1)^4)+(1080/(x-1)^5)+(432/(x-1)^6))))))
+A056205 = (None*differential((A008356+(-((1/(x-1))+(40/(x-1)^2)+(940/(x-1)^4)+(1080/(x-1)^5)+(432/(x-1)^6))))))
+A338588 = ((None*(A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(1080/(x-1)^5)+(432/(x-1)^6)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(1080/(x-1)^5)+(432/(x-1)^6))))))
+A056205 = (None*differential((A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(1080/(x-1)^5)+(432/(x-1)^6))))))
+A337962 = ((None*(A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(940/(x-1)^4)+(432/(x-1)^6)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(940/(x-1)^4)+(432/(x-1)^6))))))
+A056205 = (None*differential((A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(940/(x-1)^4)+(432/(x-1)^6))))))
+A337962 = ((None*(A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(940/(x-1)^4)+(1080/(x-1)^5)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(940/(x-1)^4)+(1080/(x-1)^5))))))
+A056205 = (None*differential((A008356+(-((1/(x-1))+(40/(x-1)^2)+(330/(x-1)^3)+(940/(x-1)^4)+(1080/(x-1)^5))))))
+A339751 = ((None*(A008357+(-((732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008357+(-((732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1)))))
+A056205 = (None*differential((A008357+(-((732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1)))))
+A339751 = ((None*(A008357+(-((60/(x-1))+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008357+(-((60/(x-1))+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1)))))
+A056205 = (None*differential((A008357+(-((60/(x-1))+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1)))))
+A339623 = ((None*(A008357+(-((60/(x-1))+(732/(x-1)^2)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008357+(-((60/(x-1))+(732/(x-1)^2)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1)))))
+A056205 = (None*differential((A008357+(-((60/(x-1))+(732/(x-1)^2)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)+1)))))
+A338588 = ((None*(A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(5568/(x-1)^5)+(1856/(x-1)^6)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(5568/(x-1)^5)+(1856/(x-1)^6)+1)))))
+A056205 = (None*differential((A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(5568/(x-1)^5)+(1856/(x-1)^6)+1)))))
+A337962 = ((None*(A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(1856/(x-1)^6)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(1856/(x-1)^6)+1)))))
+A056205 = (None*differential((A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(1856/(x-1)^6)+1)))))
+A337962 = ((None*(A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+1)))))
+A056205 = (None*differential((A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+1)))))
+A339760 = (((-1)*(A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008357+(-((60/(x-1))+(732/(x-1)^2)+(3200/(x-1)^3)+(6240/(x-1)^4)+(5568/(x-1)^5)+(1856/(x-1)^6))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008358+(-((-(1/(x-1)))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008358+(-((-(1/(x-1)))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7)))))))
+A056205 = (None*differential((A008358+(-((-(1/(x-1)))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7)))))))
+A339623 = ((None*(A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7)))))))
+A056205 = (None*differential((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7)))))))
+A338588 = ((None*(A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7)))))))
+A056205 = (None*differential((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7)))))))
+A337962 = ((None*(A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7)))))))
+A056205 = (None*differential((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(5568/(x-1)^6))+(-(1856/(x-1)^7)))))))
+A337962 = ((None*(A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(1856/(x-1)^7))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(1856/(x-1)^7)))))))
+A056205 = (None*differential((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(1856/(x-1)^7)))))))
+A337962 = ((None*(A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6)))))))
+A056205 = (None*differential((A008358+(-((-(1/(x-1)))+(-(60/(x-1)^2))+(-(732/(x-1)^3))+(-(3200/(x-1)^4))+(-(6240/(x-1)^5))+(-(5568/(x-1)^6)))))))
+A339751 = ((None*(A008359+(-((-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008359+(-((-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A056205 = (None*differential((A008359+(-((-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A339751 = ((None*(A008359+(-((-(84/(x-1)))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008359+(-((-(84/(x-1)))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A056205 = (None*differential((A008359+(-((-(84/(x-1)))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A339623 = ((None*(A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A056205 = (None*differential((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A338588 = ((None*(A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A056205 = (None*differential((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A337962 = ((None*(A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A056205 = (None*differential((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))+(-1))))))
+A337962 = ((None*(A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(7744/(x-1)^7))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(7744/(x-1)^7))+(-1))))))
+A056205 = (None*differential((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(7744/(x-1)^7))+(-1))))))
+A337962 = ((None*(A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-1))))))
+A056205 = (None*differential((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-1))))))
+A339760 = ((1*(A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008359+(-((-(84/(x-1)))+(-(1414/(x-1)^2))+(-(8708/(x-1)^3))+(-(25200/(x-1)^4))+(-(37184/(x-1)^5))+(-(27104/(x-1)^6))+(-(7744/(x-1)^7)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008360+(-((1/(x-1))+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008360+(-((1/(x-1))+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8))))))
+A056205 = (None*differential((A008360+(-((1/(x-1))+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8))))))
+A339623 = ((None*(A008360+(-((1/(x-1))+(84/(x-1)^2)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008360+(-((1/(x-1))+(84/(x-1)^2)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8))))))
+A056205 = (None*differential((A008360+(-((1/(x-1))+(84/(x-1)^2)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8))))))
+A338588 = ((None*(A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8))))))
+A056205 = (None*differential((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8))))))
+A337962 = (((-(2357/1575))*(A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A338588 = (((-(3/175))*integrate((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A337962 = (((11887/21000)*differential((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(37184/(x-1)^6)+(27104/(x-1)^7)+(7744/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A337962 = ((None*(A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(27104/(x-1)^7)+(7744/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(27104/(x-1)^7)+(7744/(x-1)^8))))))
+A056205 = (None*differential((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(27104/(x-1)^7)+(7744/(x-1)^8))))))
+A337962 = ((None*(A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(7744/(x-1)^8)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(7744/(x-1)^8))))))
+A056205 = (None*differential((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(7744/(x-1)^8))))))
+A337962 = ((None*(A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7))))))
+A056205 = (None*differential((A008360+(-((1/(x-1))+(84/(x-1)^2)+(1414/(x-1)^3)+(8708/(x-1)^4)+(25200/(x-1)^5)+(37184/(x-1)^6)+(27104/(x-1)^7))))))
+A339751 = ((None*(A008361+(-((2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008361+(-((2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A056205 = (None*differential((A008361+(-((2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A339751 = ((None*(A008361+(-((112/(x-1))+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008361+(-((112/(x-1))+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A056205 = (None*differential((A008361+(-((112/(x-1))+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A339623 = ((None*(A008361+(-((112/(x-1))+(2480/(x-1)^2)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A056205 = (None*differential((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A338588 = ((None*(A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A056205 = (None*differential((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A337962 = ((None*(A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A056205 = (None*differential((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A337962 = ((None*(A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(126976/(x-1)^7)+(31744/(x-1)^8)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A056205 = (None*differential((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(126976/(x-1)^7)+(31744/(x-1)^8)+1)))))
+A337962 = ((None*(A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(31744/(x-1)^8)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(31744/(x-1)^8)+1)))))
+A056205 = (None*differential((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(31744/(x-1)^8)+1)))))
+A337962 = ((None*(A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+1)))))
+A056205 = (None*differential((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+1)))))
+A339760 = (((-1)*(A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008361+(-((112/(x-1))+(2480/(x-1)^2)+(20352/(x-1)^3)+(80960/(x-1)^4)+(173824/(x-1)^5)+(206080/(x-1)^6)+(126976/(x-1)^7)+(31744/(x-1)^8))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008362+(-((-(1/(x-1)))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008362+(-((-(1/(x-1)))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A056205 = (None*differential((A008362+(-((-(1/(x-1)))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A339623 = ((None*(A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A056205 = (None*differential((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A338588 = ((None*(A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A056205 = (None*differential((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A337962 = ((None*(A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A056205 = (None*differential((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A337962 = ((None*(A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A056205 = (None*differential((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A337962 = ((None*(A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A056205 = (None*differential((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(126976/(x-1)^8))+(-(31744/(x-1)^9)))))))
+A337962 = ((None*(A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(31744/(x-1)^9))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(31744/(x-1)^9)))))))
+A056205 = (None*differential((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(31744/(x-1)^9)))))))
+A337962 = ((None*(A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8)))))))
+A056205 = (None*differential((A008362+(-((-(1/(x-1)))+(-(112/(x-1)^2))+(-(2480/(x-1)^3))+(-(20352/(x-1)^4))+(-(80960/(x-1)^5))+(-(173824/(x-1)^6))+(-(206080/(x-1)^7))+(-(126976/(x-1)^8)))))))
+A056205 = (None*integrate((A008363+(-((-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)))+(-(3/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*differential((A008363+(-((-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)))+(-(3/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*integrate((A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(3/25/(x-1)))+(-(3/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*differential((A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(3/25/(x-1)))+(-(3/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A339751 = ((None*(A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)^2))+(-(2/25/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*differential((A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)^2))+(-(2/25/(x-1)^3)))))))
+A339751 = ((None*(A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)))+(-(2/25/(x-1)^3))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)))+(-(2/25/(x-1)^3)))))))
+A056205 = (None*differential((A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)))+(-(2/25/(x-1)^3)))))))
+A339623 = ((None*(A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)))+(-(3/25/(x-1)^2))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)))+(-(3/25/(x-1)^2)))))))
+A056205 = (None*differential((A008363+(-((-(((1/25)*(((3*x^3)+(3*x^2))-(2*x)-14))/(x^4+x^3+x^2+x+1)))+(-(((1/5)*(((2*x^3)+x^2)-x-2))/(x^4+x^3+x^2+x+1)^2))+(-(3/25/(x-1)))+(-(3/25/(x-1)^2)))))))
+A056205 = (None*integrate((A008364+(-((-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A334625 = ((None*(A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1))))+(-(3*x^8))+(-(-(3*x^7)))+(-(((1/2)*(x-2))/((x^2-x)+1)))+(-(1/2/(x+1)))+(5/2/(x-1))+(1/(x-1)^2)+3)
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A338717 = ((None*(A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(105/16/(x-1))+(35/8/(x-1)^2)+1))))+(-(((4/7)*((5*x)-1))/(((2*x^2)-(11*x))+1))))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(105/16/(x-1))+(35/8/(x-1)^2)+1)))))
+A339751 = ((None*(A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(35/8/(x-1)^2)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(35/8/(x-1)^2)+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(35/8/(x-1)^2)+1)))))
+A339751 = ((None*(A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+1)))))
+A056205 = (None*differential((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+1)))))
+A339760 = (((-1)*(A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008364+(-((((1/3)*((((7*x^15)+(5*x^14))-(6*x^12)-(7*x^11)-(8*x^10)-(3*x^9)-(3*x^8)-(8*x^7)-(7*x^6)-(6*x^5))+(5*x^3)+(7*x^2)))/((x^16-x^8)+1))+(-(-(((1/6)*((((7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(5*x^3)+(7*x^2))-(3*x))+3))/(x^8+1))))+(-(-(((1/6)*(((x^7+(4*x^6)+(5*x^5)+x^4+(4*x^3)+x^2)-(4*x))+4))/((x^8-x^4)+1))))+(-(-(((1/12)*((((8*x^3)+x^2)-(7*x))+7))/((x^4-x^2)+1))))+(-(-(((1/12)*(((5*x^3)+(5*x^2)+x)-1))/(x^4+1))))+(-(((1/12)*((2*x)-1))/((x^2-x)+1)))+(-(((5/24)*(x-1))/(x^2+1)))+(-(1/2/(x^2+x+1)))+(7/48/(x+1))+(105/16/(x-1))+(35/8/(x-1)^2))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008376+(-((-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008376+(-((-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A339751 = ((None*(A008376+(-((-(144/(x-1)))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1)))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008376+(-((-(144/(x-1)))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(144/(x-1)))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A339623 = ((None*(A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A338588 = ((None*(A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A337962 = ((None*(A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A337962 = ((None*(A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A337962 = ((None*(A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))+(-1))))))
+A337962 = ((None*(A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(128768/(x-1)^9))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(128768/(x-1)^9))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(128768/(x-1)^9))+(-1))))))
+A337962 = ((None*(A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-1)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-1))))))
+A056205 = (None*differential((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-1))))))
+A339760 = ((1*(A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9))))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = (((-1)*integrate((A008376+(-((-(144/(x-1)))+(-(4050/(x-1)^2))+(-(42588/(x-1)^3))+(-(221544/(x-1)^4))+(-(643824/(x-1)^5))+(-(1096032/(x-1)^6))+(-(1085760/(x-1)^7))+(-(579456/(x-1)^8))+(-(128768/(x-1)^9)))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A339623 = ((None*(A008377+(-((1/(x-1))+(144/(x-1)^2)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10)))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(144/(x-1)^2)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(144/(x-1)^2)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A338588 = ((None*(A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10)))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A337962 = ((None*(A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A337962 = ((None*(A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A337962 = ((None*(A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1085760/(x-1)^8)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A337962 = ((None*(A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(579456/(x-1)^9)+(128768/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(579456/(x-1)^9)+(128768/(x-1)^10))))))
+A337962 = ((None*(A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(128768/(x-1)^10)))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(128768/(x-1)^10))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(128768/(x-1)^10))))))
+A337406 = ((None*(A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9)))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9))))))
+A056205 = (None*differential((A008377+(-((1/(x-1))+(144/(x-1)^2)+(4050/(x-1)^3)+(42588/(x-1)^4)+(221544/(x-1)^5)+(643824/(x-1)^6)+(1096032/(x-1)^7)+(1085760/(x-1)^8)+(579456/(x-1)^9))))))
+A339751 = ((None*(A008378+(-((6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008378+(-((6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A339751 = ((None*(A008378+(-((180/(x-1))+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A339623 = ((None*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A338588 = ((None*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A337962 = ((None*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A337962 = ((None*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A337962 = ((None*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A337962 = ((None*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(2595840/(x-1)^9)+(519168/(x-1)^10)+1)))))
+A337962 = ((None*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(519168/(x-1)^10)+1))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8)))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(519168/(x-1)^10)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(519168/(x-1)^10)+1)))))
+A337406 = ((None*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+1))))+(-(74/(x-1)^2))+(-(10556/(x-1)^3))+(-(313750/(x-1)^4))+(-(3743968/(x-1)^5))+(-(23283540/(x-1)^6))+(-(85710600/(x-1)^7))+(-(199447920/(x-1)^8))+(-(301979160/(x-1)^9))+(-(183783600/(x-1)^11))+(-(64864800/(x-1)^12))+(-(9979200/(x-1)^13)))
+A056205 = (None*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+1)))))
+A056205 = (None*differential((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+1)))))
+A339760 = (((-1)*(A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10)))))+x+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2)))
+A339760 = ((1*integrate((A008378+(-((180/(x-1))+(6260/(x-1)^2)+(81920/(x-1)^3)+(537920/(x-1)^4)+(2018688/(x-1)^5)+(4600960/(x-1)^6)+(6481920/(x-1)^7)+(5514240/(x-1)^8)+(2595840/(x-1)^9)+(519168/(x-1)^10))))))+(-(-(4/(((4*x^2)+(2*x))-1))))+(-(2/((2*x)-1)))+(-(1/((2*x)-1)^2))+(-1))
+A339751 = ((None*(A008379+(-((-(1/(x-1)))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(171861/16384/(x-1))))
+A056205 = (None*integrate((A008379+(-((-(1/(x-1)))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A056205 = (None*differential((A008379+(-((-(1/(x-1)))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A339623 = ((None*(A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11))))))+x^2+(-(37/(x-1)))+(-(39/(x-1)^2))+(-12))
+A056205 = (None*integrate((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A056205 = (None*differential((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A338588 = ((None*(A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11))))))+(-(1/(x-1)))+(35/(x-1)^2)+(142/(x-1)^3))
+A056205 = (None*integrate((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A056205 = (None*differential((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A337962 = ((None*(A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(71322/(x-1)^6))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A056205 = (None*differential((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(2018688/(x-1)^6))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A337962 = ((None*(A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11))))))+(-(1/(x-1)))+(-(67/(x-1)^2))+(-(1524/(x-1)^3))+(-(10880/(x-1)^4))+(-(37712/(x-1)^5))+(-(75072/(x-1)^7))+(-(41310/(x-1)^8))+(-(9270/(x-1)^9)))
+A056205 = (None*integrate((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A056205 = (None*differential((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(4600960/(x-1)^7))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A056205 = (None*integrate((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A056205 = (None*differential((A008379+(-((-(1/(x-1)))+(-(180/(x-1)^2))+(-(6260/(x-1)^3))+(-(81920/(x-1)^4))+(-(537920/(x-1)^5))+(-(2018688/(x-1)^6))+(-(6481920/(x-1)^8))+(-(5514240/(x-1)^9))+(-(2595840/(x-1)^10))+(-(519168/(x-1)^11)))))))
+A056205 = (None*differential((A008381+(-((-(-(-(((1/625)*((107*x^3)-(96*x^2)-(649*x)-942))/(x^4+x^3+x^2+x+1)^2))))+(-(-(21/3125/(x-1))))+(-(-(((2/125)*((79*x^3)+(178*x^2)+(182*x)+56))/(x^4+x^3+x^2+x+1)^3)))+(-(-(12/625/(x-1)^2)))+(-(((6/25)*(((6*x^3)+(7*x^2)+(3*x))-1))/(x^4+x^3+x^2+x+1)^4))+(-(66/625/(x-1)^3))+(-(72/625/(x-1)^4))+(-(24/625/(x-1)^5)))))))
+A056205 = (None*integrate((A008381+(-((-(((1/3125)*(((21*x^3)-(18*x^2)-(447*x))+1169))/(x^4+x^3+x^2+x+1)))+(-(-(21/3125/(x-1))))+(-(-(((2/125)*((79*x^3)+(178*x^2)+(182*x)+56))/(x^4+x^3+x^2+x+1)^3)))+(-(-(12/625/(x-1)^2)))+(-(((6/25)*(((6*x^3)+(7*x^2)+(3*x))-1))/(x^4+x^3+x^2+x+1)^4))+(-(66/625/(x-1)^3))+(-(72/625/(x-1)^4))+(-(24/625/(x-1)^5)))))))
+A056205 = (None*differential((A008381+(-((-(((1/3125)*(((21*x^3)-(18*x^2)-(447*x))+1169))/(x^4+x^3+x^2+x+1)))+(-(-(21/3125/(x-1))))+(-(-(((2/125)*((79*x^3)+(178*x^2)+(182*x)+56))/(x^4+x^3+x^2+x+1)^3)))+(-(-(12/625/(x-1)^2)))+(-(((6/25)*(((6*x^3)+(7*x^2)+(3*x))-1))/(x^4+x^3+x^2+x+1)^4))+(-(66/625/(x-1)^3))+(-(72/625/(x-1)^4))+(-(24/625/(x-1)^5)))))))
+A339751 = ((None*(A008381+(-((-(((1/3125)*(((21*x^3)-(18*x^2)-(447*x))+1169))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/625)*((107*x^3)-(96*x^2)-(649*x)-942))/(x^4+x^3+x^2+x+1)^2))))+(-(-(((2/125)*((79*x^3)+(178*x^2)+(182*x)+56))/(x^4+x^3+x^2+x+1)^3)))+(-(-(12/625/(x-1)^2)))+(-(((6/25)*(((6*x^3)+(7*x^2)+(3*x))-1))/(x^4+x^3+x^2+x+1)^4))+(-(66/625/(x-1)^3))+(-(72/625/(x-1)^4))+(-(24/625/(x-1)^5))))))+(-(((1/5.357070619823852)*E22*(((((1.8404678407190147*E24*x^7)-(6.350870360570131*E24*x^6)-(5.79203237182863*E24*x^5))+(2.4128946152719117*E25*x^4)+(2.6087927228535897*E25*x^3))-(3.788319974783637*E25*x^2)-(3.2591271207789183*E25*x))+(3.268011277338279*E24)))/((((((6*x^8)-(8*x^7)-(9*x^6))+(22*x^5)+(24*x^4))-(45*x^3))+(2*x^2)+(13*x))-1)))+(-(-(((1/2.962245769937797)*E27*(((1.6760835338105295*E29*x^3)+(1.454257374013048*E29*x^2)+(1.616404479764469*E29*x))-(1.7817505752577274*E29)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1))))+(-(-(((1/2.26246783191552)*E15*(((1.3971044636914327*E17*x^3)+(2.0047204193606647*E18*x^2)+(7.584056584251635*E17*x))-(9.233858652810202*E16)))/(((6*x^4)+(5*x^3)+(14*x^2)+(8*x))-1)^2)))+(-(31927/1024/(x-1)^2)))
+A056205 = (None*integrate((A008381+(-((-(((1/3125)*(((21*x^3)-(18*x^2)-(447*x))+1169))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/625)*((107*x^3)-(96*x^2)-(649*x)-942))/(x^4+x^3+x^2+x+1)^2))))+(-(-(((2/125)*((79*x^3)+(178*x^2)+(182*x)+56))/(x^4+x^3+x^2+x+1)^3)))+(-(-(12/625/(x-1)^2)))+(-(((6/25)*(((6*x^3)+(7*x^2)+(3*x))-1))/(x^4+x^3+x^2+x+1)^4))+(-(66/625/(x-1)^3))+(-(72/625/(x-1)^4))+(-(24/625/(x-1)^5)))))))
+A056205 = (None*differential((A008381+(-((-(((1/3125)*(((21*x^3)-(18*x^2)-(447*x))+1169))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/625)*((107*x^3)-(96*x^2)-(649*x)-942))/(x^4+x^3+x^2+x+1)^2))))+(-(-(((2/125)*((79*x^3)+(178*x^2)+(182*x)+56))/(x^4+x^3+x^2+x+1)^3)))+(-(-(12/625/(x-1)^2)))+(-(((6/25)*(((6*x^3)+(7*x^2)+(3*x))-1))/(x^4+x^3+x^2+x+1)^4))+(-(66/625/(x-1)^3))+(-(72/625/(x-1)^4))+(-(24/625/(x-1)^5)))))))
+A056205 = (None*integrate((A008381+(-((-(((1/3125)*(((21*x^3)-(18*x^2)-(447*x))+1169))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/625)*((107*x^3)-(96*x^2)-(649*x)-942))/(x^4+x^3+x^2+x+1)^2))))+(-(-(21/3125/(x-1))))+(-(-(12/625/(x-1)^2)))+(-(((6/25)*(((6*x^3)+(7*x^2)+(3*x))-1))/(x^4+x^3+x^2+x+1)^4))+(-(66/625/(x-1)^3))+(-(72/625/(x-1)^4))+(-(24/625/(x-1)^5)))))))
+A056205 = (None*differential((A008381+(-((-(((1/3125)*(((21*x^3)-(18*x^2)-(447*x))+1169))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/625)*((107*x^3)-(96*x^2)-(649*x)-942))/(x^4+x^3+x^2+x+1)^2))))+(-(-(21/3125/(x-1))))+(-(-(12/625/(x-1)^2)))+(-(((6/25)*(((6*x^3)+(7*x^2)+(3*x))-1))/(x^4+x^3+x^2+x+1)^4))+(-(66/625/(x-1)^3))+(-(72/625/(x-1)^4))+(-(24/625/(x-1)^5)))))))
diff --git a/src/main/scala/library/Library.scala b/src/main/scala/library/Library.scala
index 85aee06..c6588e4 100644
--- a/src/main/scala/library/Library.scala
+++ b/src/main/scala/library/Library.scala
@@ -1,63 +1,65 @@
package library
-import org.json4s.NoTypeHints
-import org.json4s.native.Serialization
-import org.json4s.native.Serialization._
import java.io.File
import java.net.URL
import java.util.Calendar
import parser._
import processor.TextParserIns
-import relations.{GeneratingFunctionSearch}
import scala.io.Source
import scala.util.Random
import scala.xml.Elem
-import parser.Expression.format
+import scala.xml.XML
object Library {
//store everything, check before crawling
- private def getURL(entryID : String) : URL = new URL("""http://oeis.org/search?q=id:"""+entryID+"""&fmt=text""")
+ private def getURL(entryID: String): URL = new URL("""http://oeis.org/search?q=id:""" + entryID + """&fmt=text""")
//will just give id of number-th OEIS entry
- def createID( number : String) : String = "A"+"000000".substring(0,6-number.length) + number
-
- def crawlDocuments(from : Int, to :Int) = {
- if(from < 1){
- throw new Error("There is no entry "+from+" in OEIS!")
+ def createID(number: String): String = "A" + "000000".substring(0, 6 - number.length) + number
+
+ /**
+ * unused function
+ */
+ def crawlDocuments(from: Int, to: Int) = {
+ if (from < 1) {
+ throw new Error("There is no entry " + from + " in OEIS!")
}
- from to to foreach(i =>{
+ from to to foreach (i => {
val theory = createID(i.toString)
val file = Source.fromURL(getURL(theory))
- printToFile(new File("resources/"+theory)){
+ printToFile(new File("resources/" + theory)) {
p => file.getLines().foreach(p.println)
}
- if(i % 10 == 0){
- println("Fetching entry "+ theory)
+ if (i % 10 == 0) {
+ println("Fetching entry " + theory)
}
file.close()
})
}
- def crawlXML(from : Int, to : Int)= {
- if(from < 1){
- throw new Error("There is no entry "+from+" in OEIS!")
+ /**
+ * unused function
+ */
+ def crawlXML(from: Int, to: Int) = {
+ if (from < 1) {
+ throw new Error("There is no entry " + from + " in OEIS!")
}
- from to to foreach(i =>{
+ from to to foreach (i => {
val theory = createID(i.toString)
val file = Source.fromURL(getURL(theory))
val xml = DocumentParser.fromReaderToXML(file)
- if(i % 10 == 0){
- println("Fetching entry "+ theory)
+ if (i % 10 == 0) {
+ println("Fetching entry " + theory)
}
file.close()
@@ -65,16 +67,19 @@ object Library {
})
}
- def crawlXMLLocal(from : Int, to : Int)= {
- if(from < 1){
- throw new Error("There is no entry "+from+" in OEIS!")
+ /**
+ * Harvester starter
+ */
+ def crawlXMLLocal(from: Int, to: Int) = {
+ if (from < 1) {
+ throw new Error("There is no entry " + from + " in OEIS!")
}
- from to to foreach(i =>{
+ from to to foreach (i => {
val theory = createID(i.toString)
val fileLoc = s"all/$theory.txt"
val ioFile = new java.io.File(fileLoc)
- if(ioFile.exists) {
+ if (ioFile.exists) {
val file = Source.fromFile(ioFile)
val xml = DocumentParser.fromReaderToXML(file)
@@ -84,23 +89,32 @@ object Library {
file.close()
writeXML(xml, theory)
- }else{
+ } else {
println("File doesn't exists: " + theory)
}
})
}
- def parseLocalTheory(from : Int, to : Int)= {
- if(from < 1){
- throw new Error("There is no entry "+from+" in OEIS!")
+ /**
+ * iterate from "from" to a max "to", iterator is the number part of an A-number
+ *
+ * @param from : iteration beginning
+ * @param to : iteration end
+ */
+ def parseLocalTheory(from: Int, to: Int) = {
+ /** file iteration */
+ if (from < 1) {
+ throw new Error("There is no entry " + from + " in OEIS!")
}
var count = 0
- from to to foreach(i =>{
+ from to to foreach (i => {
val theoryId = createID(i.toString)
val fileLoc = s"all/$theoryId.txt"
+ println(fileLoc)
val ioFile = new java.io.File(fileLoc)
- if(ioFile.exists) {
+ if (ioFile.exists) {
val file = Source.fromFile(ioFile)
+ /** extract formulas aka here: %N and %F OEIS fields */
val theory = DocumentParser.parseLinesTheory(file.getLines().toList)
if (i % 1000 == 0) {
@@ -112,7 +126,7 @@ object Library {
if (theory.formulas.nonEmpty) {
val formulas = theory.formulas
val generatingFunctions = formulas.flatMap(DocumentParser.getGeneratingFunction)
-// theory.generatingFunctions = generatingFunctions.map(GeneratingFunctionSearch.getGeneratingFunction)
+ // theory.generatingFunctions = generatingFunctions.map(GeneratingFunctionSearch.getGeneratingFunction)
theory.generatingFunctions = generatingFunctions.map(_.body)
if (theory.generatingFunctions.nonEmpty) {
@@ -134,13 +148,13 @@ object Library {
println("TOTAL " + count)
}
- def getXML(entry : Int) : Elem = {
+ def getXML(entry: Int): Elem = {
val id = createID(entry.toString)
-// if(storage.get(id).isEmpty){
- DocumentParser.fromReaderToXML(Source.fromURL(getURL(id)))
-// }else{
-// storage.get(id).get.toNode
-// }
+ // if(storage.get(id).isEmpty){
+ DocumentParser.fromReaderToXML(Source.fromURL(getURL(id)))
+ // }else{
+ // storage.get(id).get.toNode
+ // }
}
def printToFile(f: java.io.File)(op: java.io.PrintWriter => Unit) {
@@ -152,28 +166,36 @@ object Library {
}
}
- def writeXML(xml : Elem, theory : String) = {
-// XML.save("xml_out/" + theory +".omdoc", xml, "UTF-8", true, null)
+ def writeXML(xml: Elem, theory: String) = {
+ XML.save("xml_out/" + theory + ".omdoc", xml, "UTF-8", true, null)
}
- def writeFormula(formulas : List[String], theory : String) : Unit = {
- printToFile(new File("xml_out/"+theory)) { p =>
+ def writeFormula(formulas: List[String], theory: String): Unit = {
+ printToFile(new File("xml_out/" + theory)) { p =>
formulas.foreach(p.println)
}
}
- def main(args : Array[String]) = {
-// crawlXMLLocal(1, 3000)
+ def main(args: Array[String]) = {
+ // crawlXMLLocal(1, 3000)
val start = Calendar.getInstance().getTime()
- val max = 270000
+ val max = 339794 //270000 A339774
val scriptPath = "logs/copyScript"
val rndm = new Random()
+ /**
+ * Parser -> SageMath
+ */
parseLocalTheory(1, max)
-// crawlXMLLocal(1, max)
+ /**
+ * Crawler -> OmDoc
+ */
+ //crawlXMLLocal(1, max)
+
+
println("Succeded " + TextParserIns.succeded)
- println("Calls " +TextParserIns.calls)
+ println("Calls " + TextParserIns.calls)
println("Exceptions " + TextParserIns.exceptions)
println(start, Calendar.getInstance().getTime())
}
diff --git a/src/main/scala/parser/DocumentParser.scala b/src/main/scala/parser/DocumentParser.scala
index 7a2c69c..5d4ea79 100644
--- a/src/main/scala/parser/DocumentParser.scala
+++ b/src/main/scala/parser/DocumentParser.scala
@@ -1,16 +1,12 @@
package parser
-import com.mongodb.{DBObject, ServerAddress}
-import com.mongodb.casbah.{WriteConcern, MongoCredential, MongoClientURI, MongoClient}
import com.mongodb.casbah.commons.MongoDBObject
-import com.novus.salat.annotations._
-import com.novus.salat.dao.{DAO, ModelCompanion, SalatDAO}
-import com.novus.salat.global.ctx
+import com.mongodb.casbah.{MongoClient, WriteConcern}
import library.Library
import org.bson.types.ObjectId
-import org.json4s.ShortTypeHints
-import org.json4s.native.Serialization
import processor.TextParserIns
+import salat.dao.{DAO, ModelCompanion, SalatDAO}
+import salat.global.ctx
import scala.io.{BufferedSource, Source}
import scala.util.matching.Regex
@@ -19,16 +15,20 @@ import scala.xml._
case class TheoryRep(
- theory: String,
- name: Option[String],
- formulas: Seq[Expression],
- var generatingFunctions: Seq[Expression] = Nil
-)
-
+ theory: String,
+ name: Option[String],
+ formulas: Seq[Expression],
+ var generatingFunctions: Seq[Expression] = Nil,
+ var gfToSage: Seq[String]
+ )
+
+// ToDo: These two objects are identical?
object TheoryRepDao extends ModelCompanion[TheoryRep, ObjectId] {
val mongoClient = MongoClient("localhost", 27017)
val db = mongoClient("OEIS")
+
def collection = db("theory_verified")
+
override def dao: DAO[TheoryRep, ObjectId] = new SalatDAO[TheoryRep, ObjectId](collection) {}
def findOneByTheory(theoryNumber: Int): Option[TheoryRep] = {
@@ -41,7 +41,9 @@ object TheoryRepDao extends ModelCompanion[TheoryRep, ObjectId] {
object TheoryRepVerifiedDao extends ModelCompanion[TheoryRep, ObjectId] {
val mongoClient = MongoClient("localhost", 27017)
val db = mongoClient("OEIS")
+
def collection = db("theory_verified")
+
override def dao: DAO[TheoryRep, ObjectId] = new SalatDAO[TheoryRep, ObjectId](collection) {}
def findOneByTheory(theoryNumber: Int): Option[TheoryRep] = {
@@ -52,27 +54,29 @@ object TheoryRepVerifiedDao extends ModelCompanion[TheoryRep, ObjectId] {
}
-
case class RelationRep(
- method: Int,
- level: String,
- expression: Expression
-)
+ method: Int,
+ level: String,
+ expression: Expression
+ )
+
object RelationRep {
val representingFunction = "Rep"
val generatingFunction = "Gen"
}
case class RelationRepString(
- method: Int,
- level: String,
- expression: String
-)
+ method: Int,
+ level: String,
+ expression: String
+ )
object RelationDao extends ModelCompanion[RelationRepString, ObjectId] {
val mongoClient = MongoClient("localhost", 27017)
val db = mongoClient("OEIS")
+
def collection = db("relations")
+
override def dao: DAO[RelationRepString, ObjectId] = new SalatDAO[RelationRepString, ObjectId](collection) {}
def insert(relation: RelationRep) = {
@@ -84,39 +88,44 @@ object RelationDao extends ModelCompanion[RelationRepString, ObjectId] {
dao.insert(relation.map(x => RelationRepString(x.method, x.level, x.expression.toSage)), WriteConcern.Normal)
}
-// def find(f: DBObject) = {
-// dao.find(f).map(x => RelationRep(x.method, x.level, FormulaParserInst.parse(x.expression).get))
-// }
+ // def find(f: DBObject) = {
+ // dao.find(f).map(x => RelationRep(x.method, x.level, FormulaParserInst.parse(x.expression).get))
+ // }
}
object DocumentParser {
- val dictionary = Source.fromFile(getClass.getResource("/dictionary").getPath).getLines().toSet
+
+ val dictionary = Source.fromFile("src/main/resources/dictionary").getLines().toSet
private val IDregex = "A\\d+".r
- private def assertion(xclass : String, cmpval : String) : Elem ={
+ private def assertion(xclass: String, cmpval: String): Elem = {
{CMP(cmpval)}
}
- private def omtext(xclass : String, cmpval : String) : Elem = {
+ private def omtext(xclass: String, cmpval: String): Elem = {
{CMP(cmpval)}
}
- private def CMP(value : String) : Elem = {value}
+ private def CMP(value: String): Elem =
+ {value}
+
- private def omdoc(element : Elem) : Elem = {element}
+ private def omdoc(element: Elem): Elem =
+ {element}
+
- private def getTheoryID(line : String) : List[String] ={
- (IDregex findAllIn line).toList
+ private def getTheoryID(line: String): List[String] = {
+ (IDregex findAllIn line).toList
}
- def addHeaders(xml : List[Elem], theory : String) : Elem = {
-
+ def addHeaders(xml: List[Elem], theory: String): Elem = {
+
{xml}
@@ -124,81 +133,105 @@ object DocumentParser {
}
- def omdocWrapperCMP(xclass : String, cmpval : String) = omtext(xclass, cmpval)
- def omdocWrapperAs(xclass : String, cmpval : String) = assertion(xclass, cmpval)
+ def omdocWrapperCMP(xclass: String, cmpval: String) = omtext(xclass, cmpval)
+
+ def omdocWrapperAs(xclass: String, cmpval: String) = assertion(xclass, cmpval)
- def parseLines(documentLines : List[String] ) : Elem = {
- var theory : Option[String] = None
+ def parseLines(documentLines: List[String]): Elem = {
+ var theory: Option[String] = None
val xml: List[Any] = documentLines.collect({
case line if line.length > 2 =>
val contentIndex: Option[Match] = IDregex.findFirstMatchIn(line)
- if(contentIndex.isDefined && theory.isEmpty){
+ if (contentIndex.isDefined && theory.isEmpty) {
theory = Some(contentIndex.get.matched)
}
- line.substring(0,2) match{
- case "%N" => formulaWrap(line.substring(contentIndex.get.end), theory.get, "name")
- case "%S" => omdocWrapperCMP("starts-with", line.substring(contentIndex.get.end))
- case "%C" => omdocWrapperCMP("comment", line.substring(contentIndex.get.end))
- case "%D" => omdocWrapperCMP("reference", line.substring(contentIndex.get.end))
- case "%H" => omdocWrapperCMP("link", line.substring(contentIndex.get.end))
- case "%F" => formulaWrap(line.substring(contentIndex.get.end), theory.get, "formula")
- case "%Y" => omdocWrapperAs("crossref", line.substring(contentIndex.get.end))
- case "%K" => omdocWrapperAs("keywords", line.substring(contentIndex.get.end))
- case "%A" => omdocWrapperAs("author", line.substring(contentIndex.get.end))
- case "%p" => omdocWrapperCMP("maple", line.substring(contentIndex.get.end))
- case "%t" => omdocWrapperCMP("mathematica", line.substring(contentIndex.get.end))
- case "%o" => omdocWrapperCMP("program", line.substring(contentIndex.get.end))
- case "%O" => omdocWrapperAs("offset", line.substring(contentIndex.get.end))
- case "%E" => omdocWrapperAs("extensions", line.substring(contentIndex.get.end))
- case "%e" => omdocWrapperAs("example", line.substring(contentIndex.get.end))
- case "%T" => omdocWrapperAs("***** UUUU *****", line.substring(contentIndex.get.end))
- case "%U" => omdocWrapperAs("***** IIII *****", line.substring(contentIndex.get.end))
- case "%I" => omdocWrapperAs("***** TTTT *****", line.substring(contentIndex.get.end))
- case a if line.startsWith("%") => omdocWrapperAs("notsupported","Unexpected tag!")
+ line.substring(0, 2) match {
+ case "%N" => formulaWrap(line.substring(contentIndex.get.end), theory.get, "name")
+ case "%S" => omdocWrapperCMP("starts-with", line.substring(contentIndex.get.end))
+ case "%C" => omdocWrapperCMP("comment", line.substring(contentIndex.get.end))
+ case "%D" => omdocWrapperCMP("reference", line.substring(contentIndex.get.end))
+ case "%H" => omdocWrapperCMP("link", line.substring(contentIndex.get.end))
+ case "%F" => formulaWrap(line.substring(contentIndex.get.end), theory.get, "formula")
+ case "%Y" => omdocWrapperAs("crossref", line.substring(contentIndex.get.end))
+ case "%K" => omdocWrapperAs("keywords", line.substring(contentIndex.get.end))
+ case "%A" => omdocWrapperAs("author", line.substring(contentIndex.get.end))
+ case "%p" => omdocWrapperCMP("maple", line.substring(contentIndex.get.end))
+ case "%t" => omdocWrapperCMP("mathematica", line.substring(contentIndex.get.end))
+ case "%o" => omdocWrapperCMP("program", line.substring(contentIndex.get.end))
+ case "%O" => omdocWrapperAs("offset", line.substring(contentIndex.get.end))
+ case "%E" => omdocWrapperAs("extensions", line.substring(contentIndex.get.end))
+ case "%e" => omdocWrapperAs("example", line.substring(contentIndex.get.end))
+ case "%T" => omdocWrapperAs("***** UUUU *****", line.substring(contentIndex.get.end))
+ case "%U" => omdocWrapperAs("***** IIII *****", line.substring(contentIndex.get.end))
+ case "%I" => omdocWrapperAs("***** TTTT *****", line.substring(contentIndex.get.end))
+ case a if line.startsWith("%") => omdocWrapperAs("notsupported", "Unexpected tag!")
case _ =>
}
})
- addHeaders(xml collect {case a : Elem => a}, theory.get)
+ addHeaders(xml collect { case a: Elem => a }, theory.get)
}
- def parseLinesTheory(documentLines : List[String] ): TheoryRep = {
- var theory : Option[String] = None
+ /**
+ *
+ * @param documentLines : the A-Number text
+ * @return theory containing theory = "A000001", name = "Some( Number of groups of order n.)", formulas = Array with formulas, generatingFunctions = Nil (for later)
+ */
+ def parseLinesTheory(documentLines: List[String]): TheoryRep = {
+ /** init vars */
+ // Option[x]: return either None or a String
+ var theory: Option[String] = None
var name: Option[String] = None
-
val formulas: collection.mutable.ListBuffer[Expression] = collection.mutable.ListBuffer.empty
+ // human readable formula in MongoDB
+ val sage: collection.mutable.ListBuffer[String] = collection.mutable.ListBuffer.empty
+
+ /** extract the lines
+ * contentIndex: Some(A0000001)
+ * */
val xml: List[Any] = documentLines.collect({
case line if line.length > 2 =>
val contentIndex: Option[Match] = IDregex.findFirstMatchIn(line)
- if(contentIndex.isDefined && theory.isEmpty){
+ if (contentIndex.isDefined && theory.isEmpty) {
theory = Some(contentIndex.get.matched)
}
- line.substring(0,2) match {
+ line.substring(0, 2) match {
case "%N" =>
name = Some(line.substring(contentIndex.get.end))
- TextParserIns.parseLine(line.substring(contentIndex.get.end), theory.get).foreach { x => formulas += x}
- case "%F" => TextParserIns.parseLine(line.substring(contentIndex.get.end), theory.get).foreach { x => formulas += x}
+ TextParserIns.parseLine(line.substring(contentIndex.get.end), theory.get).foreach { x => formulas += x }
+ case "%F" => TextParserIns.parseLine(line.substring(contentIndex.get.end), theory.get).foreach { x => formulas += x }
case _ =>
}
})
- TheoryRep(theory = theory.get, name = name, formulas = formulas.toSeq)
- }
+ formulas.foreach {
+ x =>
+ val input = x.toSage
+ sage.append(input)
+ println(input)
+ }
+ val test = formulas.toSeq
+
+ TheoryRep(theory = theory.get, name = name, formulas = formulas.toSeq, gfToSage = sage)
- def fromReaderToXML(source : BufferedSource) : Elem = {
- parseLines(source.getLines().toList)
}
- def parseDocument(document : String) : String = {
- parseLines(document.lines.toList).toString
+ def fromReaderToXML(source: BufferedSource): Elem = {
+ parseLines(source.getLines().toList)
}
+ /* Not used and also broken (new libs?)
+ def parseDocument(document : String) : String = {
+ parseLines(document.lines.toList).toString
+ }
+ */
case class GeneratingFunctionDefinition(function: Func, body: Expression)
+
def getGeneratingFunction(expression: Expression): List[GeneratingFunctionDefinition] = {
expression match {
case Sentence(exps) => exps.flatMap(getGeneratingFunction)
@@ -208,13 +241,13 @@ object DocumentParser {
}
}
- def split(s:String, l:List[String]):List[(String,String)] = {
- if(s == null){
+ def split(s: String, l: List[String]): List[(String, String)] = {
+ if (s == null) {
return Nil
}
val delimRegex = l.mkString("|")
- val r = "("+delimRegex+")?(.*?)(("+delimRegex+").*)?"
+ val r = "(" + delimRegex + ")?(.*?)((" + delimRegex + ").*)?"
val R = r.r
s match {
@@ -224,13 +257,13 @@ object DocumentParser {
}
}
- def extractFormula(line : String): (List[String], List[Int]) = {
+ def extractFormula(line: String): (List[String], List[Int]) = {
val month = "(?:Jan|Feb|Mar|Apr|May|Jun|Jul|Aug|Sep|Oct|Nov|Dec)"
/*Month day year*/
val date = month + "\\s*\\d{0,4}\\s*\\d{0,4}"
- val delimiters = List(date, " " ,
+ val delimiters = List(date, " ",
":",
"(? token.matches(x)) ||
@@ -256,12 +289,12 @@ object DocumentParser {
token.trim == ""
/*Detect words of the form -- (continues here) OR bla (is greater) */
- if(token.length > 4 && (token(0) == '(' || token(token.length-1) == ')')){
+ if (token.length > 4 && (token(0) == '(' || token(token.length - 1) == ')')) {
var newToken = token
- if(newToken(0) == '('){
+ if (newToken(0) == '(') {
newToken = newToken.substring(1)
}
- if(newToken(newToken.length-1) == ')'){
+ if (newToken(newToken.length - 1) == ')') {
newToken = newToken.dropRight(1)
}
return result || isWord(newToken, dropped)
@@ -270,30 +303,30 @@ object DocumentParser {
result
}
- def isDelim(token : String) : Boolean = {
+ def isDelim(token: String): Boolean = {
delimiters.exists(x => token.matches(x.trim)) || delimiters.exists(x => token.matches(x))
}
- def computeBalancedPar(word : String) : Int = {
+ def computeBalancedPar(word: String): Int = {
word.count(_ == '(') - word.count(_ == ')') +
word.count(_ == '{') - word.count(_ == '}') +
word.count(_ == '[') - word.count(_ == ']')
}
//contains pairs (word, delimiter) - delimiters will be needed to put the line together again
- var words: List[(String,String)] = split(line, delimiters )
- var transformed : List[String] = Nil
- var formulaPosition : List[Int] = Nil
+ var words: List[(String, String)] = split(line, delimiters)
+ var transformed: List[String] = Nil
+ var formulaPosition: List[Int] = Nil
-// println(words)
- var temp : List[String] = Nil
- var delims : List[String] = Nil
+ // println(words)
+ var temp: List[String] = Nil
+ var delims: List[String] = Nil
//was a "-" dropped in the last formula try
var dropped = false
//Take the words first, when you can't see words anymore start taking formulas until you spot a word
- while(words.nonEmpty) {
+ while (words.nonEmpty) {
while (words.nonEmpty && isWord(words.head._1, dropped)) {
balancedPar += computeBalancedPar(words.head._1)
@@ -303,9 +336,9 @@ object DocumentParser {
dropped = false
}
- transformed = transformed :+ temp.zip(delims).map( wordDelim => wordDelim._2 + wordDelim._1).mkString("")
+ transformed = transformed :+ temp.zip(delims).map(wordDelim => wordDelim._2 + wordDelim._1).mkString("")
- if(words.nonEmpty){
+ if (words.nonEmpty) {
temp = Nil
delims = Nil
@@ -314,19 +347,19 @@ object DocumentParser {
* */
var isFormulaUnfinished = false
- while(words.nonEmpty && (!isWord(words.head._1, dropped) || isFormulaUnfinished)){
+ while (words.nonEmpty && (!isWord(words.head._1, dropped) || isFormulaUnfinished)) {
balancedPar += computeBalancedPar(words.head._1)
isFormulaUnfinished = false
- if(temp.isEmpty && words.head._2.trim == ":"){
+ if (temp.isEmpty && words.head._2.trim == ":") {
delims = delims :+ ""
- }else {
+ } else {
delims = delims :+ words.head._2
}
temp = temp :+ words.head._1
words = words.tail
//not checking before while loop because the comma can only be after at least one expr.
- if(words.nonEmpty) {
+ if (words.nonEmpty) {
//if there is a comma inside two parans then it is part of the formula
if ((words.head._2 == "," || words.head._2 == ":") && balancedPar > 0) {
isFormulaUnfinished = true
@@ -335,16 +368,16 @@ object DocumentParser {
}
//deal with sentences like x+23+a(x) - Euler
- if(temp.last == "-"){
- words = (temp.last, delims.last)::words
+ if (temp.last == "-") {
+ words = (temp.last, delims.last) :: words
temp = temp.dropRight(1)
delims = delims.dropRight(1)
dropped = true
}
- transformed = transformed :+ temp.zip(delims).map( wordDelim => wordDelim._2 + wordDelim._1).mkString("")
- formulaPosition = formulaPosition :+ (transformed.length -1)
+ transformed = transformed :+ temp.zip(delims).map(wordDelim => wordDelim._2 + wordDelim._1).mkString("")
+ formulaPosition = formulaPosition :+ (transformed.length - 1)
}
temp = Nil
@@ -355,23 +388,24 @@ object DocumentParser {
}
- private def parsedFormulaWrap(expr :Expression, theory : String) : Elem= {
+ private def parsedFormulaWrap(expr: Expression, theory: String): Elem = {
{expr.toNode(theory)}
}
- def formulaWrap(line : String, theory : String, nameTag: String) : Elem = {
+ def formulaWrap(line: String, theory: String, nameTag: String): Elem = {
- {TextParserIns.parseLine(line, theory) match {
- case Some(a) => a.toNode(theory)
- case None => {line}
- }
- }
+ {TextParserIns.parseLine(line, theory) match {
+ case Some(a) => a.toNode(theory)
+ case None =>
+ {line}
+
+ }}
}
- def main(args : Array[String]) : Unit = {
+ def main(args: Array[String]): Unit = {
}
}
diff --git a/src/main/scala/parser/Expression.scala b/src/main/scala/parser/Expression.scala
index 010767e..3b5c46a 100644
--- a/src/main/scala/parser/Expression.scala
+++ b/src/main/scala/parser/Expression.scala
@@ -3,11 +3,10 @@ package parser
import java.io.Serializable
-import com.novus.salat.annotations.Salat
-import org.json4s.{ShortTypeHints, NoTypeHints}
+import org.json4s.ShortTypeHints
import org.json4s.native.Serialization
import parser.DocumentParser.GeneratingFunctionDefinition
-import play.api.libs.json.{JsResult, JsValue, Format, Json}
+import salat.annotations.Salat
import scala.xml.Elem
@@ -192,7 +191,7 @@ case class Div(expr : List[Expression]) extends Expression{
override def toSagePython = s"(${expr.map(_.toSagePython).mkString("/")})"
def toCML =
-
+
{expr.map(x =>
{x.toCML}
)}
@@ -228,7 +227,7 @@ case class Func(name : String, args : ArgList) extends Expression{
override def toSagePython = s"$name${args.toSagePython}"
def toCML =
- {name}
+ {name}
{
args.args.map(x =>
{x.toCML}
@@ -261,7 +260,7 @@ case class ExtraSymbol(symbol : String) extends Expression{
def toNode(implicit theory : String) : Elem =
def toSage = symbol
def toCML =
- {symbol}
+ {symbol}
}
case class ArgList(args : List[Expression]) extends Expression{
@@ -276,17 +275,18 @@ case class ArgList(args : List[Expression]) extends Expression{
override def toSagePython = s"(${args.map(_.toSagePython).mkString(",")})"
def toCML =
- set
+
{
args.map(_.toCML)
}
+
}
case class SeqReference(seq : String) extends Expression{
def present : String = seq
def toNode(implicit theory : String) : Elem =
def toSage = seq
- def toCML = {seq}
+ def toCML = {seq}
}
case class Iters(name : String, from : Option[Expression], to : Option[Expression], on : Expression) extends Expression{
@@ -347,16 +347,32 @@ case class Iters(name : String, from : Option[Expression], to : Option[Expressio
}
def toSage = present
- def toCML =
-
-
- x
- {from}{to}
-
- {name}
- {on.toCML}
-
+ // {name} is one of the following: ['Product','product','Sum','sum','Prod','prod','Limit'] - as of the 2020 snapshot
+ //this needs to look like this:
+ /*
+
+ x
+ a
+ b
+ f
+ x
+
+
+where is the name?
+ */
+ def toCML =
+ {
+ if(name == "Sum" || name == "sum"){}
+ else{if(name == "Product" || name == "product" || name == "Prod" || name == "prod"){}
+ else {if (name == "Limit" || name == "limit" ) {}}
+ }
+ }
+ x
+ {from}
+ {to}
+ {on.toCML}
+
}
case class Factorial(expr : Expression) extends Expression{
def present : String = expr.toString + "!"
@@ -374,7 +390,7 @@ case class Factorial(expr : Expression) extends Expression{
}
case class Equation(comparison : String, left : Expression, right : Expression) extends Expression{
- def present : String = left.toString + " = " + right.toString
+ def present : String = left.toString + " = " + right.toString //wrong? but also unused
def toNode(implicit theory : String) =
@@ -383,9 +399,29 @@ case class Equation(comparison : String, left : Expression, right : Expression)
def toSage = s"${left.toSage} $comparison ${right.toSage}"
override def toSagePython = s"${left.toSagePython} $comparison ${right.toSagePython}"
+ /*
+ * case diff and then one of these:
+* "=" --> 4.4.3.1 Equals
+ "!=" --> 4.4.3.2 Not Equals
+ ">" --> 4.4.3.3 Greater than
+ "<" --> 4.4.3.4 Less Than
+ ">=" -->4.4.3.5 Greater Than or Equal
+ "<=" --> 4.4.3.6 Less Than or Equal
+ 4.4.3.7 Equivalent
+ 4.4.3.8 Approximately
+ 4.4.3.9 Factor Of
+ * */
+
def toCML =
- {comparison}
+ {if(comparison == "="){}
+ if(comparison == "!="){}
+ if(comparison == ">"){}
+ if(comparison == "<"){}
+ if(comparison == ">="){}
+ if(comparison == "<="){}
+ if(comparison == "<>"){}
+ }
{left.toCML}
{right.toCML}
@@ -396,9 +432,10 @@ case class Modulo(base : Expression, modulo : Expression) extends Expression {
def toNode(implicit theory : String) =
Func("mod", ArgList(base::modulo::Nil)).toNode
def toSage = s"${base.toSage} mod ${modulo.toSage}"
+ // Remainder -> this is modulo
def toCML =
- mod
+
{base.toCML}
{modulo.toCML}
@@ -427,15 +464,11 @@ case class GeneratingFunction(expression: Expression) extends Expression{
override def toNode(implicit theory: String): Elem =
def toSage = s"GF(x) = ${expression.toSage}"
+ //ToDo this returns something of the form: " (of*A014405)" -> we don't want the gf part --> is the best solution?
def toCML =
-
- =
-
- GF
- x
-
- {expression.toSage}
-
+
+ {expression.toSage}
+
}
case class GeneratingFunctionDef(expression: ArgList) extends Expression{
diff --git a/src/main/scala/parser/FormulaParser.scala b/src/main/scala/parser/FormulaParser.scala
index 68081ce..30ce29e 100644
--- a/src/main/scala/parser/FormulaParser.scala
+++ b/src/main/scala/parser/FormulaParser.scala
@@ -2,16 +2,17 @@ package parser
import java.io.{File, PrintWriter}
-import processor._
-
import scala.collection.mutable
import scala.io.Source
import scala.util.matching.Regex
-import scala.util.parsing.combinator.{PackratParsers, JavaTokenParsers}
-
-import sage.SageWrapper
+import scala.util.parsing.combinator.{JavaTokenParsers, PackratParsers}
class FormulaParser extends JavaTokenParsers with PackratParsers {
+ /**
+ * for syntax details, see:
+ * https://www.scala-lang.org/api/2.12.4/scala-parser-combinators/scala/util/parsing/combinator/Parsers.html
+ * https://www.scala-lang.org/api/2.12.4/scala-parser-combinators/scala/util/parsing/combinator/Parsers$Parser.html
+ */
var calls: BigInt = 0
var succeded: BigInt = 0
var exceptions: BigInt = 0
@@ -103,20 +104,21 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
def applyFunctionsInOrder(exprs: List[Expression], funcs: List[(Expression, Expression) => Expression]): Expression = {
-// println(exprs, funcs)
+ // println(exprs, funcs)
val res = (exprs, funcs) match {
case (e1 :: e2 :: rst, f1 :: rf) => applyFunctionsInOrder(f1(e1, e2) :: rst, rf)
case (expr :: Nil, Nil) => expr
case _ =>
-// println("Throwing")
+ // println("Throwing")
throw new Exception("Number of functions doesn't match!")
}
-// println(s"Apply functions in order: ${res}")
+ // println(s"Apply functions in order: ${res}")
res
}
- val dictionary = Source.fromFile(getClass.getResource("/dictionary").getPath).getLines().map(_.trim).toSet
+ val dictionary = Source.fromFile("src/main/resources/dictionary").getLines().map(_.trim).toSet
+ // This creates logic or for e.g. "n-th | x-th"
val exceptionCases: Regex = List("[A-Za-z]\\-th").mkString("|").r
lazy val word: Regex = "[A-Za-z\\']+(?![\\(\\[\\{\\<\\=\\>])\\b".r
@@ -141,6 +143,12 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
}
lazy val sentence: PackratParser[Sentence] = {
+ /**
+ * rep1 -> non empty repetitions
+ * ^^ -> A parser combinator for function application. p ^^ f succeeds if p succeeds; it returns f applied to the result of p
+ * flatten -> Converts this collection of traversable collections into a collection formed by the elements of these traversable collections
+ */
+ // psudeo-code: Sentence(rep1(sentence_cont).flatten
rep1(sentence_cont) ^^ { x => Sentence(x.flatten) }
}
@@ -158,6 +166,7 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
}
//lazy val dots : PackratParser[String] = "..." | ".."
+ /** If theres an expression, run postProcess() on it and return result */
lazy val formulas: PackratParser[Expression] =
expression ^^ {
x =>
@@ -166,6 +175,11 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
result
}
+ /**
+ * p ~ q succeeds if p succeeds and q succeeds on the input left over by p.
+ * p ^^ f succeeds if p succeeds; it returns f applied to the result of p.
+ * p ^? f succeeds if p succeeds AND f is defined at the result of p; in that case, it returns f applied to the result of p.
+ */
lazy val words: PackratParser[List[Expression]] =
exceptionCases ~ rep(delim) ^^ {
case x ~ y =>
@@ -256,9 +270,11 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
lazy val divisible: PackratParser[(Expression, Expression) => Expression] =
"(\\|)|(divides)".r ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Expression, y: Expression) => Divisible(x, y)
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Expression, y: Expression) => Divisible(x, y)
+ }
}
lazy val unary_plusminus: PackratParser[String] = "+" | "-"
@@ -266,58 +282,70 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
lazy val mod: PackratParser[String] = "mod\\b".r | "modulo\\b".r
lazy val modulo: PackratParser[(Expression, Expression) => Expression] =
mod ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Expression, y: Expression) => Modulo(x, y)
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Expression, y: Expression) => Modulo(x, y)
+ }
}
lazy val elem: PackratParser[String] = "element\\b".r | "in\\b".r
lazy val element: PackratParser[(Expression, Expression) => Expression] =
elem ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Expression, y: Expression) => InSet(x, y)
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Expression, y: Expression) => InSet(x, y)
+ }
}
lazy val plusminus: PackratParser[(Expression, Expression) => Expression] =
"+" ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Add, y: Expression) => Add(x.expr :+ y)
- case (x: Expression, y: Expression) => Add(List(x, y))
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Add, y: Expression) => Add(x.expr :+ y)
+ case (x: Expression, y: Expression) => Add(List(x, y))
+ }
} |
"-" ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Sub, y: Expression) => Sub(x.expr :+ y)
- case (x: Expression, y: Expression) => Sub(List(x, y))
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Sub, y: Expression) => Sub(x.expr :+ y)
+ case (x: Expression, y: Expression) => Sub(List(x, y))
+ }
}
lazy val multdiv: PackratParser[(Expression, Expression) => Expression] =
"(\\*)|(\\bX\\b)".r ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Mul, y: Expression) => Mul(x.expr :+ y)
- case (x: Expression, y: Var) =>
- addVar(y.name)
- Mul(List(x, y))
- case (x: Var, y:Expression) =>
- addVar(x.name)
- Mul(List(x,y))
- case (x: Expression, y: Expression) =>
- Mul(List(x,y))
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Mul, y: Expression) => Mul(x.expr :+ y)
+ case (x: Expression, y: Var) =>
+ addVar(y.name)
+ Mul(List(x, y))
+ case (x: Var, y: Expression) =>
+ addVar(x.name)
+ Mul(List(x, y))
+ case (x: Expression, y: Expression) =>
+ Mul(List(x, y))
+ }
} |
"/" ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Div, y: Expression) => Div(x.expr :+ y)
- case (x: Expression, y: Var) =>
- addVar(y.name)
- Div(List(x, y))
- case (x: Var, y:Expression) =>
- addVar(x.name)
- Div(List(x,y))
- case (x: Expression, y: Expression) => Div(List(x, y))
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Div, y: Expression) => Div(x.expr :+ y)
+ case (x: Expression, y: Var) =>
+ addVar(y.name)
+ Div(List(x, y))
+ case (x: Var, y: Expression) =>
+ addVar(x.name)
+ Div(List(x, y))
+ case (x: Expression, y: Expression) => Div(List(x, y))
+ }
}
@@ -394,7 +422,7 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
} |
term ^^ {
case (a: Expression) =>
-// println(a)
+ // println(a)
a
}
@@ -405,7 +433,7 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
term_no_fact /*~opt("!")*/ ^^ {
// case exp~Some("!") => Factorial(exp)
case exp /*~None*/ =>
-// println(exp)
+ // println(exp)
exp
}
@@ -417,44 +445,45 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
case (no )~(expr : Expression)~None => Mul(Num(no.toDouble)::expr::Nil)
} |*/
unsigned_factor ~ rep(multiply | lazy_multiply) ^^ {
- case (fctr: Num) ~ divs if divs.collect { case a: Var => a}.length == 1 && divs.length == 1 =>
+ case (fctr: Num) ~ divs if divs.collect { case a: Var => a }.length == 1 && divs.length == 1 =>
addVar(divs.head.asInstanceOf[Var].name)
Mul(fctr :: divs.head.asInstanceOf[Var] :: Nil)
case (fctr: Expression) ~ (divs) if divs.nonEmpty =>
applyFunctionsInOrder(
fctr :: divs.collect(
- {
- case x: Expression =>
-// println(fctr)
-// println("Implicit " + x)
- x
- case x: (Any ~ Expression) =>
-// println(x)
- x._2
- }
+ {
+ case x: Expression =>
+ // println(fctr)
+ // println("Implicit " + x)
+ x
+ case x: (Any ~ Expression) =>
+ // println(x)
+ x._2
+ }
), funcs = divs.collect(
- {
- case x: (((Expression, Expression) => Expression) ~ Expression) =>
-// println(true)
+ {
+ case x: (((Expression, Expression) => Expression) ~ Expression) =>
+ // println(true)
x._1
- case x =>
-// println(false, x)
- (x: Expression, y: Expression) => (x, y) match {
- case (x: Var, y: ArgList) => y match {
- //In case there is var(var) consider the first var to be a function
- case ArgList(List(Var(a))) =>
- addFunc(x.name)
- Func(x.name, y)
- case ArgList(List(Num(a))) =>
- addFunc(x.name)
- Func(x.name, y)
- case elsee =>
- Func(x.name, y)
- }
- case (x: Mul, y: Expression) => Mul(x.expr :+ y)
- case (x: Expression, y: Expression) => Mul(List(x, y))
- }
- }
+ case x =>
+ // println(false, x)
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Var, y: ArgList) => y match {
+ //In case there is var(var) consider the first var to be a function
+ case ArgList(List(Var(a))) =>
+ addFunc(x.name)
+ Func(x.name, y)
+ case ArgList(List(Num(a))) =>
+ addFunc(x.name)
+ Func(x.name, y)
+ case elsee =>
+ Func(x.name, y)
+ }
+ case (x: Mul, y: Expression) => Mul(x.expr :+ y)
+ case (x: Expression, y: Expression) => Mul(List(x, y))
+ }
+ }
)
)
case (fctr: Var) ~ (divs) if divs.isEmpty =>
@@ -469,7 +498,7 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
//add HERE what is not to be understood as lazy multiplication
//TODO : Add context so that once inside the function the words_inbracket is not checked ( or something similar) because of exp(2 Pi t)
lazy val lazy_multiply: PackratParser[Expression] =
- (not(dots) ~ not(words_inbracket) ~ not(mod)) ~> unsigned_factor ^^ { x => x }
+ (not(dots) ~ not(words_inbracket) ~ not(mod)) ~> unsigned_factor ^^ { x => x }
lazy val signed_factor: PackratParser[Expression] =
@@ -674,6 +703,7 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
calls += 1
try {
val parsed = parseAll(expression, line)
+ println(parsed)
parsed.successful match {
case false => failFile.write(theory + "\t" + line + "\n"); None
case true => succeded += 1; successFile.write(theory + "\t" + line + "\n"); Some(postProcess(parsed.get))
@@ -704,14 +734,16 @@ class FormulaParser extends JavaTokenParsers with PackratParsers {
object FormulaParserInst extends FormulaParser {
def main(args: Array[String]): Unit = {
- val test = "G.f.: 1/((1-x)^3*(1-x^3))"
+ //val test = "G.f.: 1/((1-x)^3*(1-x^3))"
+ //val test = "1/(x - 1) + 4/(x - 1)^2 + 10/(x - 1)^3 + 6/(x - 1)^4 + 1"
+ val test = "-315/(x^8-8*x^7+28*x^6-56*x^5+70*x^4-56*x^3+28*x^2-8*x+1)"
println("input : " + test)
-
+ parse(test)
println(parse(test).get.toSage)
-// println(SageWrapper.simplifyFull(parse(test).get).get.toSage)
-// println(SageWrapper.simplifyFull(parse(test).get).get.toSagePython)
-// println(parse(test).get.toSagePython)
-// TheoryRepDao.findOneByTheory(564).foreach(_.generatingFunctions.foreach(x => println(x.toSage)))
+ // println(SageWrapper.simplifyFull(parse(test).get).get.toSage)
+ // println(SageWrapper.simplifyFull(parse(test).get).get.toSagePython)
+ // println(parse(test).get.toSagePython)
+ // TheoryRepDao.findOneByTheory(564).foreach(_.generatingFunctions.foreach(x => println(x.toSage)))
}
-}
\ No newline at end of file
+}
diff --git a/src/main/scala/parser/QueryParser.scala b/src/main/scala/parser/QueryParser.scala
index 8f3d18a..985c974 100644
--- a/src/main/scala/parser/QueryParser.scala
+++ b/src/main/scala/parser/QueryParser.scala
@@ -193,6 +193,7 @@ class QueryParser extends JavaTokenParsers with PackratParsers {
}
+
lazy val infix_ops = mod | element
lazy val no_bracket_function = not(number | infix_ops) ~> ("floor\\b".r | "ceiling\\b".r | "ceil\\b".r | "sqrt\\b".r | "log\\b".r | "sinh\\b".r | "sin\\b".r | "cosh\\b".r | "cos\\b".r |
@@ -219,9 +220,11 @@ class QueryParser extends JavaTokenParsers with PackratParsers {
lazy val divisible: PackratParser[(Expression, Expression) => Expression] =
"(\\|)|(divides)".r ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Expression, y: Expression) => Divisible(x, y)
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Expression, y: Expression) => Divisible(x, y)
+ }
}
lazy val unary_plusminus: PackratParser[String] = "+" | "-"
@@ -229,46 +232,58 @@ class QueryParser extends JavaTokenParsers with PackratParsers {
lazy val mod: PackratParser[String] = "mod\\b".r | "modulo\\b".r
lazy val modulo: PackratParser[(Expression, Expression) => Expression] =
mod ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Expression, y: Expression) => Modulo(x, y)
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Expression, y: Expression) => Modulo(x, y)
+ }
}
lazy val elem: PackratParser[String] = "element\\b".r | "in\\b".r
lazy val element: PackratParser[(Expression, Expression) => Expression] =
elem ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Expression, y: Expression) => InSet(x, y)
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Expression, y: Expression) => InSet(x, y)
+ }
}
lazy val plusminus: PackratParser[(Expression, Expression) => Expression] =
"+" ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Add, y: Expression) => Add(x.expr :+ y)
- case (x: Expression, y: Expression) => Add(List(x, y))
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Add, y: Expression) => Add(x.expr :+ y)
+ case (x: Expression, y: Expression) => Add(List(x, y))
+ }
} |
"-" ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Sub, y: Expression) => Sub(x.expr :+ y)
- case (x: Expression, y: Expression) => Sub(List(x, y))
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Sub, y: Expression) => Sub(x.expr :+ y)
+ case (x: Expression, y: Expression) => Sub(List(x, y))
+ }
}
lazy val multdiv: PackratParser[(Expression, Expression) => Expression] =
"(\\*)|(\\bX\\b)".r ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Mul, y: Expression) => Mul(x.expr :+ y)
- case (x: Expression, y: Expression) => Mul(List(x, y))
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Mul, y: Expression) => Mul(x.expr :+ y)
+ case (x: Expression, y: Expression) => Mul(List(x, y))
- }
+ }
} |
"/" ^^ {
- _ => (x: Expression, y: Expression) => (x, y) match {
- case (x: Div, y: Expression) => Div(x.expr :+ y)
- case (x: Expression, y: Expression) => Div(List(x, y))
- }
+ _ =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Div, y: Expression) => Div(x.expr :+ y)
+ case (x: Expression, y: Expression) => Div(List(x, y))
+ }
}
@@ -363,33 +378,34 @@ class QueryParser extends JavaTokenParsers with PackratParsers {
case (fctr: Expression) ~ (divs) if divs.length != 0 =>
applyFunctionsInOrder(
fctr :: divs.collect(
- {
- case x: Expression => x
- case x: (~[_, Expression]) => x._2
- }
+ {
+ case x: Expression => x
+ case x: (~[_, Expression]) => x._2
+ }
), funcs = divs.collect(
- {
- case x: (Any ~ Expression) => try {
- x._1.asInstanceOf[((Expression, Expression) => Expression)]
- } catch {
- case x: Exception =>
- (x: Expression, y: Expression) => (x, y) match {
- case (x: Var, y: ArgList) => y match {
- //In case there is var(var) consider the first var to be a function
- case ArgList(List(Var(a))) =>
- addFunc(x.name)
- Func(x.name, y)
- case ArgList(List(Num(a))) =>
- addFunc(x.name)
- Func(x.name, y)
- case elsee =>
- Func(x.name, y)
- }
- case (x: Mul, y: Expression) => Mul(x.expr :+ y)
- case (x: Expression, y: Expression) => Mul(List(x, y))
- }
+ {
+ case x: (Any ~ Expression) => try {
+ x._1.asInstanceOf[((Expression, Expression) => Expression)]
+ } catch {
+ case x: Exception =>
+ (x: Expression, y: Expression) =>
+ (x, y) match {
+ case (x: Var, y: ArgList) => y match {
+ //In case there is var(var) consider the first var to be a function
+ case ArgList(List(Var(a))) =>
+ addFunc(x.name)
+ Func(x.name, y)
+ case ArgList(List(Num(a))) =>
+ addFunc(x.name)
+ Func(x.name, y)
+ case elsee =>
+ Func(x.name, y)
+ }
+ case (x: Mul, y: Expression) => Mul(x.expr :+ y)
+ case (x: Expression, y: Expression) => Mul(List(x, y))
+ }
+ }
}
- }
)
)
case (fctr: Var) ~ (divs) => addVar(fctr.name); fctr
@@ -402,7 +418,7 @@ class QueryParser extends JavaTokenParsers with PackratParsers {
//add HERE what is not to be understood as lazy multiplication
//TODO : Add context so that once inside the function the words_inbracket is not checked ( or something similar) because of exp(2 Pi t)
lazy val lazy_multiply: PackratParser[Expression] =
- (not(dots) ~ not(words_inbracket) ~ not(mod)) ~> unsigned_factor ^^ { x => x }
+ (not(dots) ~ not(words_inbracket) ~ not(mod)) ~> unsigned_factor ^^ { x => x }
lazy val signed_factor: PackratParser[Expression] =
diff --git a/src/main/scala/processor/FormulaExtractor.scala b/src/main/scala/processor/FormulaExtractor.scala
index c8d60ed..edd4a85 100644
--- a/src/main/scala/processor/FormulaExtractor.scala
+++ b/src/main/scala/processor/FormulaExtractor.scala
@@ -4,17 +4,18 @@ package processor
* Created by enxhi on 4/2/15.
*/
-import java.io.Serializable
-
-import com.novus.salat.annotations.raw.Salat
import parser._
-import play.api.libs.json.Format
-
-import scala.util.parsing.combinator.{JavaTokenParsers, PackratParsers}
-import scala.xml.{Node, Elem}
class TextParser extends FormulaParser {
-
+ /**
+ * take the OEIS function, parse it e.g.
+ * from "Number of groups of order n."
+ * to "[1.30] parsed: Sentence(List(Name(Number), Word(of), Word(groups), Word(of), Word(order), Var("n"), Delim(.)))"
+ *
+ * @param line line: literally a line from OEIS, either the name or the formula field
+ * @param theory a_num as string e.g. "A000001"
+ * @return the line, but parsed
+ */
def parseLine(line : String, theory : String = "") : Option[Line] = {
if(line.isEmpty){
return None
@@ -23,6 +24,7 @@ class TextParser extends FormulaParser {
initSet()
calls += 1
try {
+ // sentence is a global variable in FormularParser.scala
val parsed = parseAll(sentence, line)
parsed.successful match {
case false =>
diff --git a/src/main/scala/relations/GeneratingFunctionSearch.scala b/src/main/scala/relations/GeneratingFunctionSearch.scala
index 0963510..b43df9e 100644
--- a/src/main/scala/relations/GeneratingFunctionSearch.scala
+++ b/src/main/scala/relations/GeneratingFunctionSearch.scala
@@ -1,130 +1,129 @@
package relations
-import scala.concurrent.Future
-
-import java.io.{FileWriter, File, BufferedWriter, PrintWriter}
+import java.io.{BufferedWriter, FileWriter}
import java.util.concurrent.ConcurrentHashMap
-import com.mongodb.casbah.Imports
import com.mongodb.casbah.commons.MongoDBObject
-import org.json4s.native.Serialization._
import org.slf4j.LoggerFactory
-import library.Library
-import parser.DocumentParser.GeneratingFunctionDefinition
-import parser.Expression.format
import parser._
-import play.api.Logger
import sage.SageWrapper
import scala.collection.JavaConverters._
import scala.collection.immutable.::
import scala.collection.mutable
-import scala.collection.mutable.ListBuffer
-import scala.concurrent.ExecutionContext.Implicits.global
+
+import java.io.PrintWriter
+
object GeneratingFunctionSearch {
- def logger = LoggerFactory.getLogger(this.getClass)
- private val renameBase = "vari"
- val hashMap = new ConcurrentHashMap[Expression, (List[(String, String, String, String)])].asScala
- var validGFS = 0
- def getGeneratingFunction(expression: GeneratingFunctionDefinition): Expression = {
- getGeneratingFunction(expression.body)
- }
+ def logger = LoggerFactory.getLogger(this.getClass)
- def getGeneratingFunction(expression: Expression): Expression = expression match {
- case Equation(_, left, right) => getGeneratingFunction(right)
- case x => x
- }
+ /**
+ * dead code is commented out...
+ */
+ /*
+ private val renameBase = "vari"
+ val hashMap = new ConcurrentHashMap[Expression, (List[(String, String, String, String)])].asScala
+ var validGFS = 0
- def getSeqReference(e: Expression): List[String] = e match {
- case Sentence(parts) => parts.flatMap(getSeqReference)
- case Var(name) => Nil
- case Abs(expr) => getSeqReference(expr)
- case Divisible(left, right) => getSeqReference(left) ::: getSeqReference(right)
- case Power(base, expr) => getSeqReference(base) ::: getSeqReference(expr)
- case Add(expressions) => expressions.flatMap(getSeqReference)
- case Sub(expressions) => expressions.flatMap(getSeqReference)
- case Mul(expressions) => expressions.flatMap(getSeqReference)
- case Div(expressions) => expressions.flatMap(getSeqReference)
- case Neg(expressions) => getSeqReference(expressions)
- case Func(name, args) => getSeqReference(args)
- case ArgList(args) => args.flatMap(getSeqReference)
- case Iters(name, from, to , on) =>
- getSeqReference(on) ::: from.map(getSeqReference).toList.flatten ::: to.map(getSeqReference).toList.flatten
- case Factorial(expr) => getSeqReference(expr)
- case Equation(_, left, right) =>
- getSeqReference(left) ::: getSeqReference(right)
- case Modulo(base, modulo) => getSeqReference(base) ::: getSeqReference(modulo)
- case GeneratingFunction(expressions) => getSeqReference(expressions)
- case GeneratingFunctionDef(expressions) => getSeqReference(expressions)
- case SeqReference(name) => name :: Nil
- case x => List()
- }
+ def getGeneratingFunction(expression: GeneratingFunctionDefinition): Expression = {
+ getGeneratingFunction(expression.body)
+ }
- def rename(ex: Expression): Expression = {
- val currentRenaming = collection.mutable.Map[String,String]()
- val stack: collection.mutable.ListBuffer[Unit => Expression] = ListBuffer.empty
-
- def renameVariables(e: Expression): Expression = e match {
- case Var(name) if currentRenaming.isDefinedAt(name) => Var(currentRenaming(name))
- case Var(name) =>
- val newName = renameBase + currentRenaming.size
- currentRenaming.put(name, newName)
- Var(newName)
- case Abs(expr) => Abs(renameVariables(expr))
- case Divisible(left, right) => Divisible(renameVariables(left), renameVariables(right))
- case Power(base, expr) => Power(renameVariables(base), renameVariables(expr))
- case Add(expressions) => Add(expressions.map(renameVariables))
- case Sub(expressions) => Sub(expressions.map(renameVariables))
- case Mul(expressions) => Mul(expressions.map(renameVariables))
- case Div(expressions) => Div(expressions.map(renameVariables))
- case Neg(expressions) => Neg(renameVariables(expressions))
- case Func(name, args) => Func(name, renameVariables(args).asInstanceOf[ArgList])
- case ArgList(args) => ArgList(args.map(renameVariables))
- case Iters(name, from, to , on) => Iters(name,
- from.map(renameVariables),
- to.map(renameVariables),
- renameVariables(on))
- case Factorial(expr) => Factorial(renameVariables(expr))
- case Equation(comparions, left, right) =>
- Equation(comparions, renameVariables(left), renameVariables(right))
- case Modulo(base, modulo) => Modulo(renameVariables(base), renameVariables(modulo))
- case GeneratingFunction(expressions) => GeneratingFunction(renameVariables(expressions))
- case GeneratingFunctionDef(expressions) => GeneratingFunctionDef(renameVariables(expressions).asInstanceOf[ArgList])
+ def getGeneratingFunction(expression: Expression): Expression = expression match {
+ case Equation(_, left, right) => getGeneratingFunction(right)
case x => x
}
- renameVariables(ex)
- }
-
- def getVariables(expres: Expression): List[String] = {
- def getVariablesHelper(e: Expression): List[String] = e match {
- case Var(name) => name :: Nil
- case Abs(expr) => getVariablesHelper(expr)
- case Divisible(left, right) => getVariablesHelper(left) ::: getVariablesHelper(right)
- case Power(base, expr) => getVariablesHelper(base) ::: getVariablesHelper(expr)
- case Add(expressions) => expressions.flatMap(getVariablesHelper)
- case Sub(expressions) => expressions.flatMap(getVariablesHelper)
- case Mul(expressions) => expressions.flatMap(getVariablesHelper)
- case Div(expressions) => expressions.flatMap(getVariablesHelper)
- case Neg(expressions) => getVariablesHelper(expressions)
- case Func(name, args) => getVariablesHelper(args)
- case ArgList(args) => args.flatMap(getVariablesHelper)
- case Iters(name, from, to , on) =>
- getVariablesHelper(on) ::: from.map(getVariablesHelper).toList.flatten ::: to.map(getVariablesHelper).toList.flatten
- case Factorial(expr) => getVariablesHelper(expr)
+ def getSeqReference(e: Expression): List[String] = e match {
+ case Sentence(parts) => parts.flatMap(getSeqReference)
+ case Var(name) => Nil
+ case Abs(expr) => getSeqReference(expr)
+ case Divisible(left, right) => getSeqReference(left) ::: getSeqReference(right)
+ case Power(base, expr) => getSeqReference(base) ::: getSeqReference(expr)
+ case Add(expressions) => expressions.flatMap(getSeqReference)
+ case Sub(expressions) => expressions.flatMap(getSeqReference)
+ case Mul(expressions) => expressions.flatMap(getSeqReference)
+ case Div(expressions) => expressions.flatMap(getSeqReference)
+ case Neg(expressions) => getSeqReference(expressions)
+ case Func(name, args) => getSeqReference(args)
+ case ArgList(args) => args.flatMap(getSeqReference)
+ case Iters(name, from, to, on) =>
+ getSeqReference(on) ::: from.map(getSeqReference).toList.flatten ::: to.map(getSeqReference).toList.flatten
+ case Factorial(expr) => getSeqReference(expr)
case Equation(_, left, right) =>
- getVariablesHelper(left) ::: getVariablesHelper(right)
- case Modulo(base, modulo) => getVariablesHelper(base) ::: getVariablesHelper(modulo)
- case GeneratingFunction(expressions) => getVariablesHelper(expressions)
- case GeneratingFunctionDef(expressions) => getVariablesHelper(expressions)
- case x => Nil
+ getSeqReference(left) ::: getSeqReference(right)
+ case Modulo(base, modulo) => getSeqReference(base) ::: getSeqReference(modulo)
+ case GeneratingFunction(expressions) => getSeqReference(expressions)
+ case GeneratingFunctionDef(expressions) => getSeqReference(expressions)
+ case SeqReference(name) => name :: Nil
+ case x => List()
}
- getVariablesHelper(expres)
- }
+ def rename(ex: Expression): Expression = {
+ val currentRenaming = collection.mutable.Map[String, String]()
+ val stack: collection.mutable.ListBuffer[Unit => Expression] = ListBuffer.empty
+
+ def renameVariables(e: Expression): Expression = e match {
+ case Var(name) if currentRenaming.isDefinedAt(name) => Var(currentRenaming(name))
+ case Var(name) =>
+ val newName = renameBase + currentRenaming.size
+ currentRenaming.put(name, newName)
+ Var(newName)
+ case Abs(expr) => Abs(renameVariables(expr))
+ case Divisible(left, right) => Divisible(renameVariables(left), renameVariables(right))
+ case Power(base, expr) => Power(renameVariables(base), renameVariables(expr))
+ case Add(expressions) => Add(expressions.map(renameVariables))
+ case Sub(expressions) => Sub(expressions.map(renameVariables))
+ case Mul(expressions) => Mul(expressions.map(renameVariables))
+ case Div(expressions) => Div(expressions.map(renameVariables))
+ case Neg(expressions) => Neg(renameVariables(expressions))
+ case Func(name, args) => Func(name, renameVariables(args).asInstanceOf[ArgList])
+ case ArgList(args) => ArgList(args.map(renameVariables))
+ case Iters(name, from, to, on) => Iters(name,
+ from.map(renameVariables),
+ to.map(renameVariables),
+ renameVariables(on))
+ case Factorial(expr) => Factorial(renameVariables(expr))
+ case Equation(comparions, left, right) =>
+ Equation(comparions, renameVariables(left), renameVariables(right))
+ case Modulo(base, modulo) => Modulo(renameVariables(base), renameVariables(modulo))
+ case GeneratingFunction(expressions) => GeneratingFunction(renameVariables(expressions))
+ case GeneratingFunctionDef(expressions) => GeneratingFunctionDef(renameVariables(expressions).asInstanceOf[ArgList])
+ case x => x
+ }
+
+ renameVariables(ex)
+ }
+ def getVariables(expres: Expression): List[String] = {
+ def getVariablesHelper(e: Expression): List[String] = e match {
+ case Var(name) => name :: Nil
+ case Abs(expr) => getVariablesHelper(expr)
+ case Divisible(left, right) => getVariablesHelper(left) ::: getVariablesHelper(right)
+ case Power(base, expr) => getVariablesHelper(base) ::: getVariablesHelper(expr)
+ case Add(expressions) => expressions.flatMap(getVariablesHelper)
+ case Sub(expressions) => expressions.flatMap(getVariablesHelper)
+ case Mul(expressions) => expressions.flatMap(getVariablesHelper)
+ case Div(expressions) => expressions.flatMap(getVariablesHelper)
+ case Neg(expressions) => getVariablesHelper(expressions)
+ case Func(name, args) => getVariablesHelper(args)
+ case ArgList(args) => args.flatMap(getVariablesHelper)
+ case Iters(name, from, to, on) =>
+ getVariablesHelper(on) ::: from.map(getVariablesHelper).toList.flatten ::: to.map(getVariablesHelper).toList.flatten
+ case Factorial(expr) => getVariablesHelper(expr)
+ case Equation(_, left, right) =>
+ getVariablesHelper(left) ::: getVariablesHelper(right)
+ case Modulo(base, modulo) => getVariablesHelper(base) ::: getVariablesHelper(modulo)
+ case GeneratingFunction(expressions) => getVariablesHelper(expressions)
+ case GeneratingFunctionDef(expressions) => getVariablesHelper(expressions)
+ case x => Nil
+ }
+
+ getVariablesHelper(expres)
+ }
+*/
def extractPartialFractionSummands(partialFractions: Expression): List[Expression] = partialFractions match {
case Add(expr) => expr.flatMap(extractPartialFractionSummands)
case Sub(expr) =>
@@ -133,15 +132,16 @@ object GeneratingFunctionSearch {
case x => x :: Nil
}
- def makeTransformations(expression: Expression): List[(Expression,String)] = {
- val integrate = SageWrapper.integrate(expression)
- val differentiate = SageWrapper.derivative(expression)
- val same = expression
-
- (same, "unit") :: integrate.toList.map((_, "integrate")) ::: differentiate.toList.map((_, "differentiate"))
- }
+ /*
+ def makeTransformations(expression: Expression): List[(Expression, String)] = {
+ val integrate = SageWrapper.integrate(expression)
+ val differentiate = SageWrapper.derivative(expression)
+ val same = expression
- def doTransformations(expression: Expression): List[(Expression,Transformation)] = {
+ (same, "unit") :: integrate.toList.map((_, "integrate")) ::: differentiate.toList.map((_, "differentiate"))
+ }
+ */
+ def doTransformations(expression: Expression): List[(Expression, Transformation)] = {
val integrate = SageWrapper.integrate(expression)
val differentiate = SageWrapper.derivative(expression)
val same = expression
@@ -149,30 +149,32 @@ object GeneratingFunctionSearch {
(same, Unit) :: integrate.toList.map((_, Integral)) ::: differentiate.toList.map((_, Differential))
}
- def checkIfExists(expression: Expression, id: String) = {
- val partialFractionsOpt = SageWrapper.partialFraction(expression)
- partialFractionsOpt.foreach { partialFractions =>
- validGFS += 1
- val extractedGFs = extractPartialFractionSummands(partialFractions)
- val transformed = extractedGFs.flatMap(makeTransformations)
- transformed.foreach { gf =>
- val renamed = rename(removeXMultiplications(removeConstants(gf._1)))
- if(hashMap.contains(renamed)) {
- Logger.debug(s"Partial fraction summand transformed already there ${renamed.toSage} with $id from \n ${expression.toSage} \n " +
- s"from partial fraction \n ${partialFractions.toSage} \n")
- hashMap.put(renamed, (id, gf._2, expression.toSage, partialFractions.toSage) :: hashMap(renamed))
+ /*
+ def checkIfExists(expression: Expression, id: String) = {
+ val partialFractionsOpt = SageWrapper.partialFraction(expression)
+ partialFractionsOpt.foreach { partialFractions =>
+ validGFS += 1
+ val extractedGFs = extractPartialFractionSummands(partialFractions)
+ val transformed = extractedGFs.flatMap(makeTransformations)
+ transformed.foreach { gf =>
+ val renamed = rename(removeXMultiplications(removeConstants(gf._1)))
+ if (hashMap.contains(renamed)) {
+ logger.debug(s"Partial fraction summand transformed already there ${renamed.toSage} with $id from \n ${expression.toSage} \n " +
+ s"from partial fraction \n ${partialFractions.toSage} \n")
+ hashMap.put(renamed, (id, gf._2, expression.toSage, partialFractions.toSage) :: hashMap(renamed))
+ }
+ else hashMap.put(renamed, (id, gf._2, expression.toSage, partialFractions.toSage) :: Nil)
+ }
}
- else hashMap.put(renamed, (id, gf._2, expression.toSage, partialFractions.toSage) :: Nil)
}
- }
- }
- def equal(left: Expression, right: Expression) = {
-// println(s"checking equality of $left and $right")
-
- rename(left) == rename(right)
- }
+ def equal(left: Expression, right: Expression) = {
+ // println(s"checking equality of $left and $right")
+ logger.debug(s"gfs - checking equality of $left and $right")
+ rename(left) == rename(right)
+ }
+ */
def removeNegation(expression: Expression): Expression = expression match {
case Neg(a) => removeNegation(a)
case Mul(list) => Mul(list.map(removeNegation))
@@ -183,66 +185,76 @@ object GeneratingFunctionSearch {
}
def removeConstants(expression: Expression): Expression = removeNegation(expression) match {
- case Mul(Num(a)::b::Nil) => b
- case Mul(Num(a)::b) => removeConstants(Mul(b))
- case Mul(Div(Num(a) :: Num(b)::Nil)::c::nil) => removeConstants(c)
- case Div(Num(a)::Num(b)::c::Nil) => Div(Num(1)::c::Nil)
- case Div(Num(a)::c::Nil) => Div(Num(1)::c::Nil)
- case Div(Mul(Num(a)::b::Nil)::c::Nil) => Div(b::c::Nil)
-// case Div(list) if list.length > 3 => throw new Exception(s"Cannot deal with ${list}")
- case x => x
- }
-
- def removeConstantsWithFeedback(expression: Expression): (Expression, Double) = removeNegation(expression) match {
- case Mul(Num(a)::b::Nil) => (b, a)
- case Mul(Num(a)::b) =>
- val result = removeConstantsWithFeedback(Mul(b))
- (result._1, result._2 * a)
- case Mul(Div(Num(a) :: Num(b)::Nil)::c::nil) =>
- val result = removeConstantsWithFeedback(c)
- (result._1, result._2 * (a / b))
- case Div(Num(a)::Num(b)::c::Nil) => (Div(Num(1)::c::Nil), a/b)
- case Div(Num(a)::c::Nil) => (Div(Num(1)::c::Nil), a)
- case Div(Mul(Num(a)::b::Nil)::c::Nil) => (Div(b::c::Nil), a)
+ case Mul(Num(a) :: b :: Nil) => b
+ case Mul(Num(a) :: b) => removeConstants(Mul(b))
+ case Mul(Div(Num(a) :: Num(b) :: Nil) :: c :: nil) => removeConstants(c)
+ case Div(Num(a) :: Num(b) :: c :: Nil) => Div(Num(1) :: c :: Nil)
+ case Div(Num(a) :: c :: Nil) => Div(Num(1) :: c :: Nil)
+ case Div(Mul(Num(a) :: b :: Nil) :: c :: Nil) => Div(b :: c :: Nil)
// case Div(list) if list.length > 3 => throw new Exception(s"Cannot deal with ${list}")
- case x => (x, 1)
+ case x => x
}
+ /*
+ def removeConstantsWithFeedback(expression: Expression): (Expression, Double) = removeNegation(expression) match {
+ case Mul(Num(a) :: b :: Nil) => (b, a)
+ case Mul(Num(a) :: b) =>
+ val result = removeConstantsWithFeedback(Mul(b))
+ (result._1, result._2 * a)
+ case Mul(Div(Num(a) :: Num(b) :: Nil) :: c :: nil) =>
+ val result = removeConstantsWithFeedback(c)
+ (result._1, result._2 * (a / b))
+ case Div(Num(a) :: Num(b) :: c :: Nil) => (Div(Num(1) :: c :: Nil), a / b)
+ case Div(Num(a) :: c :: Nil) => (Div(Num(1) :: c :: Nil), a)
+ case Div(Mul(Num(a) :: b :: Nil) :: c :: Nil) => (Div(b :: c :: Nil), a)
+ // case Div(list) if list.length > 3 => throw new Exception(s"Cannot deal with ${list}")
+ case x => (x, 1)
+ }
+ */
def removeXMultiplications(expression: Expression): Expression = removeNegation(expression) match {
- case Div(Power(Var("x"), exp)::b::Nil) => Div(Num(1)::b::Nil)
- case Div(Var("x")::exp::Nil) => Div(Num(1)::exp::Nil)
+ case Div(Power(Var("x"), exp) :: b :: Nil) => Div(Num(1) :: b :: Nil)
+ case Div(Var("x") :: exp :: Nil) => Div(Num(1) :: exp :: Nil)
case x => x
}
- def removeXMultiplicationsWithFeedback(expression: Expression): (Expression, Double) = removeNegation(expression) match {
- case Div(Power(Var("x"), Num(exp))::b::Nil) => Div(Num(1)::b::Nil) -> exp
- case Div(Var("x")::exp::Nil) => Div(Num(1)::exp::Nil) -> 1
- case x => x -> 0
- }
+ /*
+ def removeXMultiplicationsWithFeedback(expression: Expression): (Expression, Double) = removeNegation(expression) match {
+ case Div(Power(Var("x"), Num(exp)) :: b :: Nil) => Div(Num(1) :: b :: Nil) -> exp
+ case Div(Var("x") :: exp :: Nil) => Div(Num(1) :: exp :: Nil) -> 1
+ case x => x -> 0
+ }
- def normalizeFractions(expression: Expression): Expression = expression match {
- case Div(Num(constant)::Power(Sub(Num(1) :: Mul(bx)::Nil), Num(k)) :: Nil) =>
- Div(Num(1) :: Sub(Num(1) :: removeConstants(Mul(bx)) :: Nil) :: Nil)
- case Div(Num(constant)::Sub(Num(1) :: Mul(bx) :: Nil) :: Nil) =>
- Div(Num(1) :: Sub(Num(1) ::removeConstants(Mul(bx)) :: Nil) :: Nil)
- case x => x
- }
+ def normalizeFractions(expression: Expression): Expression = expression match {
+ case Div(Num(constant) :: Power(Sub(Num(1) :: Mul(bx) :: Nil), Num(k)) :: Nil) =>
+ Div(Num(1) :: Sub(Num(1) :: removeConstants(Mul(bx)) :: Nil) :: Nil)
+ case Div(Num(constant) :: Sub(Num(1) :: Mul(bx) :: Nil) :: Nil) =>
+ Div(Num(1) :: Sub(Num(1) :: removeConstants(Mul(bx)) :: Nil) :: Nil)
+ case x => x
+ }
+ */
sealed trait Transformation {
def inverse: Transformation
+
def toString: String
}
+
object Integral extends Transformation {
def inverse = Differential
+
override def toString = "integrate"
}
+
object Differential extends Transformation {
def inverse = Integral
+
override def toString = "differential"
}
+
object Unit extends Transformation {
def inverse = Unit
+
override def toString = ""
}
@@ -281,8 +293,8 @@ object GeneratingFunctionSearch {
getShiftAndMultiplication(simplifiedConst)
val finalShifts = (Mul(multiplicationConstant :: {
- if(multiplicationConstantFromTheMultiplication != Num(1))
- multiplicationConstantFromTheMultiplication::Nil
+ if (multiplicationConstantFromTheMultiplication != Num(1))
+ multiplicationConstantFromTheMultiplication :: Nil
else
Nil
}), Add(Num(shiftConstant + shiftFromTheMultiplication) :: Nil))
@@ -291,41 +303,54 @@ object GeneratingFunctionSearch {
simplifiedFinalShifts match {
case (Some(multiplication), Some(shift)) =>
- Some(Mul(multiplication :: FuncR(SeqReference(theory), ArgList(Add(Var("n") :: { if(shift == Num(0)) Nil else shift :: Nil }) :: Nil)) :: Nil))
+ Some(Mul(multiplication :: FuncR(SeqReference(theory), ArgList(Add(Var("n") :: {
+ if (shift == Num(0)) Nil else shift :: Nil
+ }) :: Nil)) :: Nil))
case (None, Some(shift)) =>
- Some(Mul(finalShifts._1 :: FuncR(SeqReference(theory), ArgList(Add(Var("n") :: { if(shift == Num(0)) Nil else shift :: Nil }) :: Nil)) :: Nil))
+ Some(Mul(finalShifts._1 :: FuncR(SeqReference(theory), ArgList(Add(Var("n") :: {
+ if (shift == Num(0)) Nil else shift :: Nil
+ }) :: Nil)) :: Nil))
case _ =>
- println(s"Couldn't simplify ${finalShifts._1.toSage} and ${finalShifts._2.toSage}")
+ //println(s"Couldn't simplify ${finalShifts._1.toSage} and ${finalShifts._2.toSage}")
+ logger.debug(s"gfs - Couldn't simplify ${finalShifts._1.toSage} and ${finalShifts._2.toSage}")
None
}
}
/**
* This method tries to find relations such that each partial fraction can be expressed through an existing OEIS sequence.
+ * Explained in the B.Sc. Thesis https://github.com/MathHubInfo/ISFA/tree/master/docs
*/
def secondMethod() = {
+
+
case class MappedTheory(
- theory: TheoryRep,
- initialGeneratingFunction: Expression,
- unifiedGeneratingFunction: Expression,
- unificationConstant: Option[Expression]
- )
+ theory: TheoryRep,
+ initialGeneratingFunction: Expression,
+ unifiedGeneratingFunction: Expression,
+ unificationConstant: Option[Expression]
+ )
val hashMap = new ConcurrentHashMap[Expression, List[MappedTheory]]().asScala
val theories = TheoryRepDao.findAll().toArray
- println(s"Length is ${theories.length}")
+ //println(s"Length is ${theories.length}")
+ logger.debug(s"gfs - Length is ${theories.length}")
val indices = theories.indices
- for (i <- indices) {
+ //for (i <- indices) {
+ for (i <- 0 to 1) {
val theoryRep = theories(i)
- println(i)
+ //println(i)
+ logger.debug(s"gfs - $i")
+
+
theoryRep.generatingFunctions.foreach { generatingFunction =>
for (
- simplifiedGeneratingFunction <- SageWrapper.simplifyFull(generatingFunction);
- unifiedGeneratingFunction = removeXMultiplications(removeConstants(simplifiedGeneratingFunction));
- simplifiedUnifiedGeneratingFunction <- SageWrapper.simplifyFull(unifiedGeneratingFunction)
+ simplifiedGeneratingFunction <- SageWrapper.simplifyFull(generatingFunction);
+ unifiedGeneratingFunction = removeXMultiplications(removeConstants(simplifiedGeneratingFunction));
+ simplifiedUnifiedGeneratingFunction <- SageWrapper.simplifyFull(unifiedGeneratingFunction)
) {
val mappedTheory = MappedTheory(
theory = theoryRep,
@@ -336,40 +361,43 @@ object GeneratingFunctionSearch {
// NOTE TODO Commenting these lines makes the second method only take ONE sequence instance
// out of the many that unify under method 1. This to avoid the transitional relations
// that come from it
-// if (hashMap.contains(simplifiedUnifiedGkeneratingFunction)) {
-// hashMap.put(simplifiedUnifiedGeneratingFunction, mappedTheory :: hashMap(simplifiedUnifiedGeneratingFunction))
-// } else
+ // if (hashMap.contains(simplifiedUnifiedGkeneratingFunction)) {
+ // hashMap.put(simplifiedUnifiedGeneratingFunction, mappedTheory :: hashMap(simplifiedUnifiedGeneratingFunction))
+ // } else
hashMap.put(simplifiedUnifiedGeneratingFunction, List(mappedTheory))
}
}
+
+ val hashMapSize = hashMap.size
+ logger.debug(s"hashMapSize : $hashMapSize")
}
case class PartialExpressingTheory(
- theoryId: String,
- partialFraction: Expression,
- transformedPartialFunction: Expression,
- transformation: Transformation,
- restOfPartialFractions: List[Expression],
- mappedTheories: List[MappedTheory],
- relations: List[Relation]
- )
+ theoryId: String,
+ partialFraction: Expression,
+ transformedPartialFunction: Expression,
+ transformation: Transformation,
+ restOfPartialFractions: List[Expression],
+ mappedTheories: List[MappedTheory],
+ relations: List[Relation]
+ )
case class Relation(
- partialFractionSubstitution: Expression, // integral( [[ unificationConst ]] * A12321)
- partialFractionSubstitutionRepresentingFunctionLevel: Expression,
- unificationConstant: Expression,
- transformation: Transformation
- )
+ partialFractionSubstitution: Expression, // integral( [[ unificationConst ]] * A12321)
+ partialFractionSubstitutionRepresentingFunctionLevel: Expression,
+ unificationConstant: Expression,
+ transformation: Transformation
+ )
case class FullExpressingTheory(
- theoryId: String,
- expressingPartials: List[List[PartialExpressingTheory]],
- partialFractions: List[Expression]
- )
+ theoryId: String,
+ expressingPartials: List[List[PartialExpressingTheory]],
+ partialFractions: List[Expression]
+ )
var gen_count: Long = 0
var rep_count: Long = 0
-// val map = new mutable.HashSet[FullExpressingTheory]()
+ // val map = new mutable.HashSet[FullExpressingTheory]()
for (i <- indices) {
logger.debug(s"Processing theory $i")
val generatingFunctions = theories(i).generatingFunctions
@@ -377,17 +405,17 @@ object GeneratingFunctionSearch {
val partialFractionsOpt = SageWrapper.partialFraction(generatingFunction).map(extractPartialFractionSummands)
partialFractionsOpt.foreach { partialFractions =>
- val partialExpressingTheories = partialFractions.map { partialFraction =>
- doTransformations(partialFraction).flatMap { case (transformedPartialFraction, transformation) =>
- SageWrapper.simplifyFull(transformedPartialFraction).flatMap { simplifiedTransformedPartialFraction =>
- val unifiedTransformedPartialFraction = removeXMultiplications(removeConstants(transformedPartialFraction))
- SageWrapper.simplifyFull(unifiedTransformedPartialFraction).flatMap { simplifiedUnifiedTransformedPartialFraction =>
-
- if (hashMap.get(simplifiedUnifiedTransformedPartialFraction).exists(_.nonEmpty) && hashMap(simplifiedUnifiedTransformedPartialFraction).head.theory.theory != theories(i).theory) {
- val relations = hashMap(simplifiedUnifiedTransformedPartialFraction).flatMap { mappedTheory =>
- mappedTheory.unificationConstant.flatMap { leftUnificationFactor =>
- SageWrapper.divide(transformedPartialFraction, simplifiedUnifiedTransformedPartialFraction).flatMap { rightUnificationFactor =>
- val constN = Div(rightUnificationFactor :: leftUnificationFactor :: Nil)
+ val partialExpressingTheories = partialFractions.map { partialFraction =>
+ doTransformations(partialFraction).flatMap { case (transformedPartialFraction, transformation) =>
+ SageWrapper.simplifyFull(transformedPartialFraction).flatMap { simplifiedTransformedPartialFraction =>
+ val unifiedTransformedPartialFraction = removeXMultiplications(removeConstants(transformedPartialFraction))
+ SageWrapper.simplifyFull(unifiedTransformedPartialFraction).flatMap { simplifiedUnifiedTransformedPartialFraction =>
+
+ if (hashMap.get(simplifiedUnifiedTransformedPartialFraction).exists(_.nonEmpty) && hashMap(simplifiedUnifiedTransformedPartialFraction).head.theory.theory != theories(i).theory) {
+ val relations = hashMap(simplifiedUnifiedTransformedPartialFraction).flatMap { mappedTheory =>
+ mappedTheory.unificationConstant.flatMap { leftUnificationFactor =>
+ SageWrapper.divide(transformedPartialFraction, simplifiedUnifiedTransformedPartialFraction).flatMap { rightUnificationFactor =>
+ val constN = Div(rightUnificationFactor :: leftUnificationFactor :: Nil)
SageWrapper.simplifyFull(constN).orElse(SageWrapper.simplify(constN)).map { simplifiedConst =>
val relation = Func(transformation.inverse.toString, ArgList(Mul(simplifiedConst :: SeqReference(mappedTheory.theory.theory) :: Nil) :: Nil))
@@ -399,38 +427,38 @@ object GeneratingFunctionSearch {
transformation = transformation.inverse
)
}
- }
- }
- }
-
- if(relations != Nil) {
- Some(PartialExpressingTheory(
- theories(i).theory,
- partialFraction,
- transformedPartialFraction,
- transformation,
- partialFractions.filterNot(_ == partialFraction),
- hashMap(simplifiedUnifiedTransformedPartialFraction),
- relations
- ))
- } else None
- } else None
- }
- }
-
- }
- }
-
- if(partialExpressingTheories.forall(_.nonEmpty)) {
+ }
+ }
+ }
+
+ if (relations != Nil) {
+ Some(PartialExpressingTheory(
+ theories(i).theory,
+ partialFraction,
+ transformedPartialFraction,
+ transformation,
+ partialFractions.filterNot(_ == partialFraction),
+ hashMap(simplifiedUnifiedTransformedPartialFraction),
+ relations
+ ))
+ } else None
+ } else None
+ }
+ }
+
+ }
+ }
+
+ if (partialExpressingTheories.forall(_.nonEmpty)) {
val fullExpressionTheory = FullExpressingTheory(theories(i).theory, partialExpressingTheories, partialFractions)
val total = fullExpressionTheory.expressingPartials.map(_.flatMap(_.relations.map(_.partialFractionSubstitution)).length).product
- if(total > 300000) { // for optimization purposes
-// combine(fullExpressionTheory.expressingPartials.map(_.flatMap(_.relations.map(_.partialFractionSubstitution))), { partialFractionsAsRelations =>
-// val relation = Equation("=", SeqReference(fullExpressionTheory.theoryId), Add(partialFractionsAsRelations))
-// val rel = RelationRep(2, RelationRep.generatingFunction, relation)
-// gen_count += 1
-// RelationDao.insert(rel)
-// })
+ if (total > 300000) { // for optimization purposes
+ // combine(fullExpressionTheory.expressingPartials.map(_.flatMap(_.relations.map(_.partialFractionSubstitution))), { partialFractionsAsRelations =>
+ // val relation = Equation("=", SeqReference(fullExpressionTheory.theoryId), Add(partialFractionsAsRelations))
+ // val rel = RelationRep(2, RelationRep.generatingFunction, relation)
+ // gen_count += 1
+ // RelationDao.insert(rel)
+ // })
combine(fullExpressionTheory.expressingPartials.map(_.flatMap(_.relations.map(_.partialFractionSubstitutionRepresentingFunctionLevel))), { partialFractionsAsRelations =>
val relation = Equation("=", SeqReference(fullExpressionTheory.theoryId), Add(partialFractionsAsRelations))
val rel = RelationRep(2, RelationRep.representingFunction, relation)
@@ -438,12 +466,12 @@ object GeneratingFunctionSearch {
RelationDao.insert(rel)
})
} else {
-// val gen = combineMem(fullExpressionTheory.expressingPartials.map(_.flatMap(_.relations.map(_.partialFractionSubstitution)))).map { partialFractionsAsRelations =>
-// val relation = Equation("=", SeqReference(fullExpressionTheory.theoryId), Add(partialFractionsAsRelations.toList))
-// RelationRep(2, RelationRep.generatingFunction, relation)
-// }
-// gen_count += gen.length
-// RelationDao.insert(gen)
+ // val gen = combineMem(fullExpressionTheory.expressingPartials.map(_.flatMap(_.relations.map(_.partialFractionSubstitution)))).map { partialFractionsAsRelations =>
+ // val relation = Equation("=", SeqReference(fullExpressionTheory.theoryId), Add(partialFractionsAsRelations.toList))
+ // RelationRep(2, RelationRep.generatingFunction, relation)
+ // }
+ // gen_count += gen.length
+ // RelationDao.insert(gen)
val rep = combineMem(fullExpressionTheory.expressingPartials.map(_.flatMap(_.relations.map(_.partialFractionSubstitutionRepresentingFunctionLevel)))).map { partialFractionsAsRelations =>
val relation = Equation("=", SeqReference(fullExpressionTheory.theoryId), Add(partialFractionsAsRelations.toList))
@@ -459,57 +487,62 @@ object GeneratingFunctionSearch {
}
}
- def combine(xs: List[List[Expression]], onGenerate: List[Expression] => Unit, acc: List[Expression] = Nil) : Unit = {
+ def combine(xs: List[List[Expression]], onGenerate: List[Expression] => Unit, acc: List[Expression] = Nil): Unit = {
xs match {
- case a::b =>
+ case a :: b =>
a.foreach { elem =>
- combine(b, onGenerate, elem::acc)
+ combine(b, onGenerate, elem :: acc)
}
case Nil =>
onGenerate(acc)
}
}
+
def combineMem[A](xs: Traversable[Traversable[A]]): Seq[Seq[A]] =
- xs.foldLeft(Seq(Seq.empty[A])){
+ xs.foldLeft(Seq(Seq.empty[A])) {
(x, y) => for (a <- x; b <- y) yield a :+ b
}
logger.debug(s"Count: ${gen_count} ${rep_count}")
}
-// def countRelations() = {
-// val relations = RelationDao.find(MongoDBObject("method" -> 2))
-//
-// val counting = relations.toList.groupBy { _.expression match { case Equation (_, SeqReference(id), _) => id }}
-// .map(x => x._1 -> x._2.length)
-// logger.debug(s"Relations")
-// val groupedRelations = relations.toList.groupBy { _.expression match {case Equation(_, SeqReference(id), _) => id }}
-// .values.toList.flatten.filter(_.level == RelationRep.representingFunction)
-// logger.debug(s"Length ${groupedRelations.size}")
-// groupedRelations.foreach(x => logger.debug(s"\n${x.expression.toSage} \n"))
-// counting.foreach(x => logger.debug(x.toString()))
-// }
+ // def countRelations() = {
+ // val relations = RelationDao.find(MongoDBObject("method" -> 2))
+ //
+ // val counting = relations.toList.groupBy { _.expression match { case Equation (_, SeqReference(id), _) => id }}
+ // .map(x => x._1 -> x._2.length)
+ // logger.debug(s"Relations")
+ // val groupedRelations = relations.toList.groupBy { _.expression match {case Equation(_, SeqReference(id), _) => id }}
+ // .values.toList.flatten.filter(_.level == RelationRep.representingFunction)
+ // logger.debug(s"Length ${groupedRelations.size}")
+ // groupedRelations.foreach(x => logger.debug(s"\n${x.expression.toSage} \n"))
+ // counting.foreach(x => logger.debug(x.toString()))
+ // }
/**
* This method tries to find one partial fraction intersection.
+ * Explained in the B.Sc. Thesis https://github.com/MathHubInfo/ISFA/tree/master/docs
*/
def thirdMethod() = {
case class MappedTheory(
- theory: TheoryRep,
- initialGeneratingFunction: Expression,
- initialPartialFraction: Expression,
- unifiedPartialFraction: Expression,
- restOfPartialFractions: List[Expression]
- )
+ theory: TheoryRep,
+ initialGeneratingFunction: Expression,
+ initialPartialFraction: Expression,
+ unifiedPartialFraction: Expression,
+ restOfPartialFractions: List[Expression]
+ )
val hashMap = new mutable.HashMap[Expression, List[MappedTheory]]()
val theories = TheoryRepDao.findAll().toArray
- println(s"Length is ${theories.length}")
+ //println(s"Length is ${theories.length}")
+ logger.debug(s"gfs - Length is ${theories.length}")
+
val indices = theories.indices
for (i <- indices) {
val theoryRep = theories(i)
- println(i)
+ //println(i)
+ logger.debug(s"gfs - $i")
theoryRep.generatingFunctions.foreach { generatingFunction =>
val partialFractionsOpt = SageWrapper.partialFraction(generatingFunction).map(extractPartialFractionSummands)
@@ -526,9 +559,9 @@ object GeneratingFunctionSearch {
restOfPartialFractions = partialFractions.filterNot(_ == partialFraction)
)
// TODO: SEE ABOVE, SAME STORY
-// if (hashMap.contains(unifiedPartialFraction)) {
-// hashMap.put(unifiedPartialFraction, mappedTheory :: hashMap(unifiedPartialFraction))
-// } else
+ // if (hashMap.contains(unifiedPartialFraction)) {
+ // hashMap.put(unifiedPartialFraction, mappedTheory :: hashMap(unifiedPartialFraction))
+ // } else
hashMap.put(unifiedPartialFraction, List(mappedTheory))
}
}
@@ -536,20 +569,23 @@ object GeneratingFunctionSearch {
)
}
+ val hashMapSize = hashMap.size
+ logger.debug(s"hashMapSize : $hashMapSize")
}
case class ExpressingTheory(
- theoryId: String,
- partialFraction: Expression,
- transformedPartialFunction: Expression,
- transformation: Transformation,
- restOfPartialFractions: List[Expression],
- mappedTheories: List[MappedTheory]
- )
+ theoryId: String,
+ partialFraction: Expression,
+ transformedPartialFunction: Expression,
+ transformation: Transformation,
+ restOfPartialFractions: List[Expression],
+ mappedTheories: List[MappedTheory]
+ )
val map = new mutable.HashMap[String, List[ExpressingTheory]]()
for (i <- indices) {
- println(s"Processing theory $i")
+ //println(s"Processing theory $i")
+ logger.debug(s"gfs - Processing theory $i")
val generatingFunctions = theories(i).generatingFunctions
generatingFunctions.foreach { generatingFunction =>
val partialFractionsOpt = SageWrapper.partialFraction(generatingFunction).map(extractPartialFractionSummands)
@@ -558,52 +594,53 @@ object GeneratingFunctionSearch {
partialFractions.foreach { partialFraction =>
doTransformations(partialFraction).foreach { case (transformedPartialFraction, transformation) =>
SageWrapper.simplifyFull(transformedPartialFraction).foreach { simplifiedTransformedPartialFraction =>
- val unifiedTransformedPartialFraction = removeXMultiplications(removeConstants(simplifiedTransformedPartialFraction))
- SageWrapper.simplifyFull(unifiedTransformedPartialFraction).foreach { simplifiedUnifiedTransformedPartialFraction =>
- SageWrapper.divide(transformedPartialFraction, simplifiedUnifiedTransformedPartialFraction)
- .foreach { transformedDivisionFactor =>
-
- if (hashMap.contains(simplifiedUnifiedTransformedPartialFraction) && hashMap(simplifiedUnifiedTransformedPartialFraction).filter(_
- .theory.theory != theories(i).theory) != Nil) {
- val expressionTheory =
- ExpressingTheory(
- theoryId = theories(i).theory,
- partialFraction = partialFraction,
- transformedPartialFunction = simplifiedUnifiedTransformedPartialFraction,
- transformation = transformation,
- restOfPartialFractions = partialFractions.filterNot(_ == partialFraction),
- mappedTheories = hashMap(simplifiedUnifiedTransformedPartialFraction)
- )
- expressionTheory.mappedTheories.foreach { mapTheory =>
- val IUPFROpt = SageWrapper.divide(mapTheory.initialPartialFraction, mapTheory.unifiedPartialFraction)
- println(IUPFROpt)
- IUPFROpt.foreach { IUPFR =>
- val negRestofPartials = expressionTheory.restOfPartialFractions match {
- case Nil => Nil
- case r => List(Neg(Add(r)))
- }
- val substitution = Add(SeqReference(expressionTheory.theoryId) :: negRestofPartials)
-
- SageWrapper.simplifyFull(Div(IUPFR :: transformedDivisionFactor :: Nil)).foreach {
- simplifiedConstant =>
-
- val relation = Equation(
- "=",
- SeqReference(mapTheory.theory.theory),
- Add(
- Mul(simplifiedConstant :: Func(expressionTheory.transformation
- .toString, ArgList(List
- (substitution))) :: Nil) :: mapTheory.restOfPartialFractions
+ val unifiedTransformedPartialFraction = removeXMultiplications(removeConstants(simplifiedTransformedPartialFraction))
+ SageWrapper.simplifyFull(unifiedTransformedPartialFraction).foreach { simplifiedUnifiedTransformedPartialFraction =>
+ SageWrapper.divide(transformedPartialFraction, simplifiedUnifiedTransformedPartialFraction)
+ .foreach { transformedDivisionFactor =>
+
+ if (hashMap.contains(simplifiedUnifiedTransformedPartialFraction) && hashMap(simplifiedUnifiedTransformedPartialFraction).filter(_
+ .theory.theory != theories(i).theory) != Nil) {
+ val expressionTheory =
+ ExpressingTheory(
+ theoryId = theories(i).theory,
+ partialFraction = partialFraction,
+ transformedPartialFunction = simplifiedUnifiedTransformedPartialFraction,
+ transformation = transformation,
+ restOfPartialFractions = partialFractions.filterNot(_ == partialFraction),
+ mappedTheories = hashMap(simplifiedUnifiedTransformedPartialFraction)
+ )
+ expressionTheory.mappedTheories.foreach { mapTheory =>
+ val IUPFROpt = SageWrapper.divide(mapTheory.initialPartialFraction, mapTheory.unifiedPartialFraction)
+ //println(IUPFROpt)
+ logger.debug(s"gfs - $IUPFROpt")
+ IUPFROpt.foreach { IUPFR =>
+ val negRestofPartials = expressionTheory.restOfPartialFractions match {
+ case Nil => Nil
+ case r => List(Neg(Add(r)))
+ }
+ val substitution = Add(SeqReference(expressionTheory.theoryId) :: negRestofPartials)
+
+ SageWrapper.simplifyFull(Div(IUPFR :: transformedDivisionFactor :: Nil)).foreach {
+ simplifiedConstant =>
+
+ val relation = Equation(
+ "=",
+ SeqReference(mapTheory.theory.theory),
+ Add(
+ Mul(simplifiedConstant :: Func(expressionTheory.transformation
+ .toString, ArgList(List
+ (substitution))) :: Nil) :: mapTheory.restOfPartialFractions
+ )
)
- )
- RelationDao.insert(RelationRep(3, RelationRep.generatingFunction, relation))
- relation
+ RelationDao.insert(RelationRep(3, RelationRep.generatingFunction, relation))
+ relation
+ }
}
}
}
}
- }
}
}
}
@@ -612,57 +649,59 @@ object GeneratingFunctionSearch {
}
}
-// logger.debug("\n\n\n\n\n\nPrinting relations at the generating functions: \n\n\n\n\n")
-// logger.debug(relations.filter(_.isDefined).map(_.get.toSage).mkString("\n \n"))
+ // logger.debug("\n\n\n\n\n\nPrinting relations at the generating functions: \n\n\n\n\n")
+ // logger.debug(relations.filter(_.isDefined).map(_.get.toSage).mkString("\n \n"))
}
-// def produceCurrentGraph() = {
-// val theories = DocumentDao.findAll().toArray
-// println(s"Length is ${theories.length}")
-//
-// import parser.Expression._
-//
-// val graph = new mutable.HashMap[String, List[String]]()
-// for(i <- theories.indices){
-// val mainTheory = theories(i)
-// println(i)
-// val formulas = mainTheory.formulas.map(read[Sentence])
-// val connections = formulas.flatMap(getSeqReference)
-// connections.toList.distinct.map(graph.put(_, Nil))
-// graph.put(mainTheory.theory, connections.toList.distinct)
-// connections.foreach { theory =>
-// val value = connections.filterNot(_ == theory).toList
-//
-// if(graph.contains(theory)){
-// graph.put(theory, value ::: graph(theory))
-// }else{
-// graph.put(theory, value)
-// }
-// }
-// }
-// val script = graph.toList.sortBy(_._1.substring(1).toInt).map { case (k,v) =>
-// s"""{ "name": "$k", "size": 10, "imports": [${v.map(x => "\"" + x + "\"").mkString(",")}] } """
-// }.mkString(",")
-//
-// logger.debug("script being printed")
-// logger.debug(script)
-// logger.debug("Number of connections " + graph.count { case (k,v) => v.length > 1})
-// }
+ // def produceCurrentGraph() = {
+ // val theories = DocumentDao.findAll().toArray
+ // println(s"Length is ${theories.length}")
+ //
+ // import parser.Expression._
+ //
+ // val graph = new mutable.HashMap[String, List[String]]()
+ // for(i <- theories.indices){
+ // val mainTheory = theories(i)
+ // println(i)
+ // val formulas = mainTheory.formulas.map(read[Sentence])
+ // val connections = formulas.flatMap(getSeqReference)
+ // connections.toList.distinct.map(graph.put(_, Nil))
+ // graph.put(mainTheory.theory, connections.toList.distinct)
+ // connections.foreach { theory =>
+ // val value = connections.filterNot(_ == theory).toList
+ //
+ // if(graph.contains(theory)){
+ // graph.put(theory, value ::: graph(theory))
+ // }else{
+ // graph.put(theory, value)
+ // }
+ // }
+ // }
+ // val script = graph.toList.sortBy(_._1.substring(1).toInt).map { case (k,v) =>
+ // s"""{ "name": "$k", "size": 10, "imports": [${v.map(x => "\"" + x + "\"").mkString(",")}] } """
+ // }.mkString(",")
+ //
+ // logger.debug("script being printed")
+ // logger.debug(script)
+ // logger.debug("Number of connections " + graph.count { case (k,v) => v.length > 1})
+ // }
def saveRelationsToFile(method: Int) = {
val ioFileName = s"relations-$method"
val file = new FileWriter(ioFileName)
file.write("")
- val bufferedFile = new BufferedWriter(file, 1024*1024*500)
+ val bufferedFile = new BufferedWriter(file, 1024 * 1024 * 500)
val relationTransformation =
- if(method == 2) {
- relation: Expression => relation match {
- case Equation("=", SeqReference(seq), rest) =>
- Equation("=", FuncR(SeqReference(seq), ArgList(List(Var("n")))), rest)
+ //ToDo: What is this? And why is it like this?
+ if (method == 2) {
+ relation: Expression =>
+ relation match {
+ case Equation("=", SeqReference(seq), rest) =>
+ Equation("=", FuncR(SeqReference(seq), ArgList(List(Var("n")))), rest)
+ }
+ } else {
+ relation: Expression => relation
}
- } else {
- relation: Expression => relation
- }
val relationQuery = RelationDao.find(MongoDBObject("method" -> method)).batchSize(400000)
val relations = new Iterator[RelationRepString] {
@@ -679,16 +718,54 @@ object GeneratingFunctionSearch {
}
+ def export_to_MathML() = {
+
+ val theories = TheoryRepDao.findAll().toArray
+ logger.debug(s"gfs - Length is ${theories.length}")
+
+ val indices = theories.indices
+
+ for (i <- indices) {
+ val theoryRep = theories(i)
+ logger.debug(s"gfs - $i")
+ logger.debug("Working Directory = " + System.getProperty("user.dir"))
+
+ var j = 0
+ val num_gfs = theoryRep.generatingFunctions.size
+
+ theoryRep.generatingFunctions.foreach {generatingFunction =>
+ //logger.debug(s"${theoryRep.name} gfs ${generatingFunction.toSage}")
+ new PrintWriter("./results/gfs/2020/" + theoryRep.theory + "_"+j.toString + ".xml") {
+ write("")
+ j = j+1
+ close
+ }
+
+
+ }
+ j = 0;
+ }
+ }
+
+
def main(args: Array[String]): Unit = {
+ /* //This is just a test, right?
val expression = Div(List(Var("x"), Power(Sub(List(Num(95), Mul(List(Num(15), Var("x"))))), Num(5))))
-
println(SageWrapper.partialFraction(expression).get)
println(rename(SageWrapper.partialFraction(removeXMultiplications(removeConstants(expression))).get).toSage)
+*/
+ //secondMethod()
+ //thirdMethod()
- secondMethod()
+ //debug function to reconstruct the content MathML export
+ export_to_MathML()
-// println("Finished")
+ //saveRelationsToFile(2)
+ // println("Finished")
-// logger.debug(getRepresentingFunction(Integral, FormulaParserInst.parse("-((1/10/x))").get, "").get.toSage)
+ // logger.debug(getRepresentingFunction(Integral, FormulaParserInst.parse("-((1/10/x))").get, "").get.toSage)
}
}
diff --git a/src/main/scala/relations_package/GeneratingFunctionsSagePackage.scala b/src/main/scala/relations_package/GeneratingFunctionsSagePackage.scala
index 3e8a6e4..79553a8 100644
--- a/src/main/scala/relations_package/GeneratingFunctionsSagePackage.scala
+++ b/src/main/scala/relations_package/GeneratingFunctionsSagePackage.scala
@@ -52,7 +52,7 @@ object GeneratingFunctionsSagePackage {
}
def rename(ex: Expression): Expression = {
- val currentRenaming = collection.mutable.Map[String,String]()
+ val currentRenaming = collection.mutable.Map[String, String]()
val stack: collection.mutable.ListBuffer[Unit => Expression] = ListBuffer.empty
def renameVariables(e: Expression): Expression = e match {
@@ -92,7 +92,13 @@ object GeneratingFunctionsSagePackage {
def main(args: Array[String]): Unit = {
// println(FormulaParserInst.parse("[0, 0, 840, 12477384, 2545607472, 116307115440, 2406303387000, " +
// "30037635498360, 262918567435104, 1765904422135392, 9653659287290280, 44745048366882600, 181129909217550480, 654743996230865424, 2149893215016113112]"))
+
countVerifications()
+
+ //fills MongoDB OEIS/sage_cache with values
+ //generateForAll()
+
+
// println(DocumentParser.getGeneratingFunction(TextParserIns.parseLine("Conjecture: G.f.: 1 = Sum_{n>=0} a(n+1)" +
// "*A000108(n)*x^n*Sum_{k>=0} C" +
// "(2*n+k,k)^2*(-x)^k. Compare with the following g.f of the Catalan numbers (A000108): 1 = Sum_{n>=0} A000108(n)" +
@@ -124,25 +130,25 @@ object GeneratingFunctionsSagePackage {
}
SageWrapper.generatingFunctionSeriesCoefficients(
generatingFunction,
- (if(intOffset<0) 0 else intOffset) + 8
+ (if (intOffset < 0) 0 else intOffset) + 8
).map {
sequence =>
- val (newSequence, newOriginalSequence) =
- if (intOffset < 0) {
- sequence.args -> originalSequence.args.drop(-intOffset)
- } else {
- sequence.args.drop(intOffset) -> originalSequence.args
- }
- sequenceLogger.debug("NewSeq " + newSequence)
- sequenceLogger.debug("NewOrigSeq " + newOriginalSequence)
- if (newSequence == Nil || newOriginalSequence == Nil) false
- else {
- if (newOriginalSequence.length < newSequence.length) {
- newSequence.containsSlice(newOriginalSequence)
- } else {
- newOriginalSequence.containsSlice(newSequence)
+ val (newSequence, newOriginalSequence) =
+ if (intOffset < 0) {
+ sequence.args -> originalSequence.args.drop(-intOffset)
+ } else {
+ sequence.args.drop(intOffset) -> originalSequence.args
+ }
+ sequenceLogger.debug("NewSeq " + newSequence)
+ sequenceLogger.debug("NewOrigSeq " + newOriginalSequence)
+ if (newSequence == Nil || newOriginalSequence == Nil) false
+ else {
+ if (newOriginalSequence.length < newSequence.length) {
+ newSequence.containsSlice(newOriginalSequence)
+ } else {
+ newOriginalSequence.containsSlice(newSequence)
+ }
}
- }
}
}
}.getOrElse(false)
diff --git a/src/main/scala/sage/SageWrapper.scala b/src/main/scala/sage/SageWrapper.scala
index 29485eb..feff430 100644
--- a/src/main/scala/sage/SageWrapper.scala
+++ b/src/main/scala/sage/SageWrapper.scala
@@ -1,28 +1,41 @@
package sage
-import play.api.Logger
-import play.api.libs.json.Json
-import play.twirl.api.Html
-
-import scala.util.Try
-import scalaj.http.Http
-
-import javax.swing.text.html.HTMLDocument
+import java.io._
+import java.net._
import com.mongodb.casbah.MongoClient
import com.mongodb.casbah.commons.MongoDBObject
-import com.novus.salat.dao.{DAO, ModelCompanion, SalatDAO}
-import com.novus.salat.global.ctx
import org.bson.types.ObjectId
import org.slf4j.LoggerFactory
+import parser.{ArgList, Expression, FormulaParserInst}
+import play.api.libs.json.Json
+import salat.dao.{DAO, ModelCompanion, SalatDAO}
+import salat.global.ctx
+import scalaj.http.Http
-import parser.{Num, ArgList, Expression, FormulaParserInst}
+import scala.io._
+import scala.util.Try
case class SageRequest(
- request: String,
- result: Option[Expression] // Expression
-)
-
+ request: String,
+ result: Option[Expression] // Expression
+ )
+
+/* Notes on this file:
+*
+* Http(sagemath_server_http+"eval") looks like it connects to the local SageMath Server Enxhell had
+* on his machine. Then he has a folder "0" containing various folders. I'm going to try to make that work now.
+* changed:
+* val headerFirst = Http("http://localhost:8080/home/admin/0/eval")
+* val headerFirst = Http(sagemath_server_http + "eval")
+* while having a SageMath Jupyter open, it at least finds the socket, but fails on the html?
+* I'm currently trying to get the Sage cmd to host something.
+*
+*
+*
+* */
+
+// MongoDB access to OEIS/sage_cache, port is default
object SageRequest extends ModelCompanion[SageRequest, ObjectId] {
val mongoClient = MongoClient("localhost", 27017)
val db = mongoClient("OEIS")
@@ -38,8 +51,14 @@ object SageRequest extends ModelCompanion[SageRequest, ObjectId] {
}
}
+// SageMath stuff
object SageWrapper {
- val session = "nb_session_8080=; session=\"dZMN57/0ShESsTbOvrba9uGuPag=?username=UydhZG1pbicKcDAKLg==\""
+ // This seems to be a session cookie for SageMath
+ //val session = "nb_session_8080=; session=\"dZMN57/0ShESsTbOvrba9uGuPag=?username=UydhZG1pbicKcDAKLg==\""
+ val session = "session=\"5ec459db53071712c94020d847a93d822dddd34f915e6df1\""
+ // val sagemath_server_http = "http://localhost:8888/?token=f0d0814871607024f779691000052fe6bdeabc18dfbc89f3"
+ // Jupyter notebook path to the desired folder
+ val sagemath_server_http = "http://127.0.0.1:8888/notebooks/Desktop/ISFA_sagemath.ipynb#"
private var counter = 0
@@ -49,8 +68,13 @@ object SageWrapper {
val logger = LoggerFactory.getLogger(this.getClass)
+ //ToDo: this seems to have major differences
private def callMethodWithCall(input: String): Option[ArgList] = {
-// val input = s"$methodName($methodName).$postfixArgument(${postfixArgument.mkString(",")})"
+ logger.debug(s"xxx callMethodWithCall")
+ // val input = s"$methodName($methodName).$postfixArgument(${postfixArgument.mkString(",")})"
+ // ToDo not quite sure about this one, might be fine, but the original code did extra stuff
+ sage_tcp_socket_connection_with_call(input)
+ /*
val responseOpt = SageRequest.findByRequest(input)
if (responseOpt.isDefined) {
@@ -65,27 +89,28 @@ object SageWrapper {
try {
counter += 1
- val headerFirst = Http("http://localhost:8080/home/admin/0/eval")
+ val headerFirst = Http(sagemath_server_http + "eval")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
+
val savePayload = Map("save_only" -> "1", "id" -> "31", "input" -> input).toSeq
headerFirst.postForm(savePayload).asString.body
val payload = Map("newcell" -> "0", "id" -> "31", "input" -> input).toSeq
headerFirst.postForm(payload).asString.body
- val headerSecond = Http("http://localhost:8080/home/admin/0/cell_update")
+ val headerSecond = Http(sagemath_server_http + "cell_update")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
- val headerFinish = Http("http://localhost:8080/home/admin/0/discard_and_quit")
+ val headerFinish = Http(sagemath_server_http + "discard_and_quit")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
- val headerAlive = Http("http://localhost:8080/home/admin/0/alive")
+ val headerAlive = Http(sagemath_server_http + "alive")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
@@ -141,101 +166,22 @@ object SageWrapper {
}
} catch {
case e: Exception =>
- Logger.debug(s"Got exception $e")
+ logger.debug(s"Got exception $e")
None
}
}
+ */
}
private def callMethod(expression: Expression, method: String, variables: List[String]) = {
+ logger.debug(s"xxx callMethod")
val input = s"$method(${expression.toSage}, ${variables.mkString(",")})"
- val responseOpt = SageRequest.findByRequest(input)
-
- if (responseOpt.isDefined) {
- val result = responseOpt.flatMap(_.result)
- logger.debug(s"Result cached ${result.map(_.toSage)} for $input")
- result
- } else {
- logger.debug(s"NOT CACHED $input")
- try {
- counter += 1
-
- val headerFirst = Http("http://localhost:8080/home/admin/0/eval")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
- val savePayload = Map("save_only" -> "1", "id" -> "31", "input" -> input).toSeq
- headerFirst.postForm(savePayload).asString.body
-
- val payload = Map("newcell" -> "0", "id" -> "31", "input" -> input).toSeq
- headerFirst.postForm(payload).asString.body
- val headerSecond = Http("http://localhost:8080/home/admin/0/cell_update")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- val headerFinish = Http("http://localhost:8080/home/admin/0/discard_and_quit")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- val headerAlive = Http("http://localhost:8080/home/admin/0/alive")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- Thread.sleep(20)
-
- var parsed = "\" \""
- var count = 0
- while (parsed == "\" \"" && count < 500) {
- val x = headerSecond.postForm(Map("id" -> "31").toSeq)
- parsed = (Json.parse(x.asString.body) \ "output_wrapped").get.toString().trim
- if ((count % 20) == 1) logger.debug(s"sleeping ... ")
- Thread.sleep(50)
- count += 1
- }
- if (count >= 500) {
- val x = headerFinish.param("_", System.currentTimeMillis().toString)
- logger.debug("Ditching it")
- logger.debug(x.asString.toString)
- logger.debug(x.asString.body)
- logger.debug("\n")
- Thread.sleep(1000)
- headerAlive.param("_", System.currentTimeMillis().toString)
- Thread.sleep(100)
- headerAlive.param("_", System.currentTimeMillis().toString)
- cleanup()
- } else {
- smallCleanup()
- Thread.sleep(20)
-
- }
- val formula = if (parsed.length > 31) parsed.substring(23, parsed.length - 8).replaceAllLiterally("\\n", "") else "No formula"
- val parsedFormula = FormulaParserInst.parse(formula).orElse {
- logger.debug(s"Couldn't parse: $formula")
- None
- }
- // logger.debug(parsedFormula)
-
- if(count < 500) {
- Try {
- SageRequest.save(SageRequest(
- request = input,
- result = parsedFormula
- ))
- }
- cleanup()
- }
+ //ToDo difference to callPostfixMethod:
+ //val payload = Map("newcell" -> "0", "id" -> "31", "input" -> input).toSeq
+ //headerFirst.postForm(payload).asString.body
+ sage_tcp_socket_connection(input)
- parsedFormula
- } catch {
- case e: Exception =>
- Logger.debug(s"Got exception $e")
- None
- }
- }
}
def derivative(expression: Expression, variables: List[String] = List("x")): Option[Expression] = {
@@ -247,101 +193,22 @@ object SageWrapper {
}
private def callInfixMethod(left: Expression, method: String, right: Expression) = {
+ logger.debug(s"xxx callMethodWithCall")
val input = s"(${left.toSage}) $method (${right.toSage})"
- val responseOpt = SageRequest.findByRequest(input)
-
- if (responseOpt.isDefined) {
- val result = responseOpt.flatMap(_.result)
- logger.debug(s"Result cached ${result.map(_.toSage)}for $input")
- result
- } else {
- logger.debug(s"NOT CACHED $input")
- try {
- counter += 1
- val headerFirst = Http("http://localhost:8080/home/admin/0/eval")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- val savePayload = Map("save_only" -> "1", "id" -> "31", "input" -> input).toSeq
- headerFirst.postForm(savePayload).asString.body
-
- val payload = Map("newcell" -> "0", "id" -> "31", "input" -> input).toSeq
- headerFirst.postForm(payload).asString.body
- val headerSecond = Http("http://localhost:8080/home/admin/0/cell_update")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
-
- val headerFinish = Http("http://localhost:8080/home/admin/0/discard_and_quit")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- val headerAlive = Http("http://localhost:8080/home/admin/0/alive")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- Thread.sleep(20)
-
- var parsed = "\" \""
- var count = 0
- while (parsed == "\" \"" && count < 500) {
- val x = headerSecond.postForm(Map("id" -> "31").toSeq)
- parsed = (Json.parse(x.asString.body) \ "output_wrapped").get.toString().trim
- if ((count % 20) == 1) logger.debug(s"sleeping ... ")
- Thread.sleep(50)
- count += 1
- }
- if (count >= 500) {
- val x = headerFinish.param("_", System.currentTimeMillis().toString)
- logger.debug("Ditching it")
- logger.debug(x.asString.toString)
- logger.debug(x.asString.body)
- logger.debug("\n")
- Thread.sleep(1000)
- headerAlive.param("_", System.currentTimeMillis().toString)
- Thread.sleep(100)
- headerAlive.param("_", System.currentTimeMillis().toString)
- cleanup()
- } else {
- smallCleanup()
- Thread.sleep(20)
-
- }
-
- val formula = if (parsed.length > 31) parsed.substring(23, parsed.length - 8).replaceAllLiterally("\\n", "") else "No formula"
- val parsedFormula = FormulaParserInst.parse(formula).orElse {
- logger.debug(s"Couldn't parse: $formula")
- None
- }
-
- if(count < 500) {
- Try {
- SageRequest.save(SageRequest(
- request = input,
- result = parsedFormula
- ))
- }
- cleanup()
- }
+ // ToDo: this had two extra lines compared to PythonSageServerPostFixMethod()
+ //val savePayload = Map("save_only" -> "1", "id" -> "31", "input" -> input).toSeq
+ //headerFirst.postForm(savePayload).asString.body
- parsedFormula
- } catch {
- case e: Exception =>
- Logger.debug(s"Got error $e")
- None
- }
- }
+ sage_tcp_socket_connection(input)
}
+ // This cleans the Jupyter notebook ToDo: what else?
private def smallCleanup() = {
+ logger.debug(s"xxx smallCleanup")
try {
counter += 1
- val headerFirst = Http("http://localhost:8080/home/admin/0/eval")
+ val headerFirst = Http(sagemath_server_http + "eval")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
@@ -351,7 +218,7 @@ object SageWrapper {
val payload = Map("newcell" -> "0", "id" -> "31", "input" -> s"").toSeq
headerFirst.postForm(payload).asString.body
- val headerSecond = Http("http://localhost:8080/home/admin/0/cell_update")
+ val headerSecond = Http(sagemath_server_http + "cell_update")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
@@ -368,16 +235,18 @@ object SageWrapper {
}
} catch {
case e: Exception =>
- Logger.debug(s"Got error $e")
+ logger.debug(s"Got error $e")
None
}
-// cleanup()
+ // cleanup()
}
+ // This cleans the Jupyter notebook ToDo: what else?
private def cleanup() = {
+ logger.debug(s"xxx cleanup")
try {
counter += 1
- val headerFirst = Http("http://localhost:8080/home/admin/0/eval")
+ val headerFirst = Http(sagemath_server_http + "eval")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
@@ -387,18 +256,18 @@ object SageWrapper {
val payload = Map("newcell" -> "0", "id" -> "31", "input" -> s"").toSeq
headerFirst.postForm(payload).asString.body
- val headerSecond = Http("http://localhost:8080/home/admin/0/cell_update")
+ val headerSecond = Http(sagemath_server_http + "cell_update")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
- val headerFinish = Http("http://localhost:8080/home/admin/0/discard_and_quit")
+ val headerFinish = Http(sagemath_server_http + "discard_and_quit")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
- val headerAlive = Http("http://localhost:8080/home/admin/0/alive")
+ val headerAlive = Http(sagemath_server_http + "alive")
.headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
"Cookie" -> session
, "Accept" -> "text/plain")
@@ -419,205 +288,163 @@ object SageWrapper {
Thread.sleep(300)
} catch {
case e: Exception =>
- Logger.debug(s"Got error $e")
+ logger.debug(s"Got error $e")
None
}
}
def partialFraction(expression: Expression, variables: List[String] = List("x")): Option[Expression] = {
- callPostfixMethod(expression, "partial_fraction", variables)
+ PythonSageServerPostFixMethod(expression, "partial_fraction", variables)
+ //callPostfixMethod(expression, "partial_fraction", variables)
}
def simplifyFull(expression: Expression): Option[Expression] = {
- callPostfixMethod(expression, "simplify_full", Nil)
+ PythonSageServerPostFixMethod(expression, "simplify_full", Nil)
+ //callPostfixMethod(expression, "simplify_full", Nil)
}
- private def callPostfixMethod(expression: Expression, method: String, variables: List[String]) = {
- val input = s"(${expression.toSage}).$method(${variables.mkString(",")})"
+ //function to communicate with the python tcp socket accepting sagemath requests
+ // ToDo the server has to close the connection or this will get stuck (it still gets stuck?) - should work now
+
+ val logfile = new PrintWriter("logfile")
+ private def sage_tcp_socket_connection(input: String) = {
+
+ logfile.write("###################################################################\n");
+ logfile.write(input.toString() + "\n");
+
val responseOpt = SageRequest.findByRequest(input)
if (responseOpt.isDefined) {
val result = responseOpt.flatMap(_.result)
- logger.debug(s"Result cached ${result.map(_.toSage)}for $input")
+ logger.debug(s"Result cached ${result.map(_.toSage)} for $input")
result
} else {
logger.debug(s"NOT CACHED $input")
try {
- counter += 1
- val headerFirst = Http("http://localhost:8080/home/admin/0/eval")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- val payload = Map("newcell" -> "0", "id" -> "31", "input" -> input).toSeq
- headerFirst.postForm(payload).asString.body
- val headerSecond = Http("http://localhost:8080/home/admin/0/cell_update")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
-
- val headerFinish = Http("http://localhost:8080/home/admin/0/discard_and_quit")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- val headerAlive = Http("http://localhost:8080/home/admin/0/alive")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- Thread.sleep(20)
-
- var parsed = "\" \""
- var count = 0
- while (parsed == "\" \"" && count < 500) {
- val x = headerSecond.postForm(Map("id" -> "31").toSeq)
- parsed = (Json.parse(x.asString.body) \ "output_wrapped").get.toString().trim
- if ((count % 20) == 1) logger.debug(s"sleeping ... ")
- Thread.sleep(50)
- count += 1
- }
- if (count >= 500) {
- val x = headerFinish.param("_", System.currentTimeMillis().toString)
- logger.debug("Ditching it")
- logger.debug(x.asString.toString)
- logger.debug(x.asString.body)
- logger.debug("\n")
- Thread.sleep(1000)
- headerAlive.param("_", System.currentTimeMillis().toString)
- Thread.sleep(100)
- headerAlive.param("_", System.currentTimeMillis().toString)
- cleanup()
- } else {
- smallCleanup()
- Thread.sleep(20)
-
- }
-
- logger.debug(s"Parsing $parsed")
- val formula = if (parsed.length > 31) parsed.substring(23, parsed.length - 8).replaceAllLiterally("\\n", "") else "No formula"
+ //socket init
+ val s = new Socket(InetAddress.getByName("127.0.0.1"), 65432)
+ lazy val in = new BufferedSource(s.getInputStream()).getLines()
+ val out = new PrintStream(s.getOutputStream())
+
+ out.println(s"$input")
+ out.flush()
+
+ // seperator "\n"
+ val parsed = in.mkString("\n")
+ val parsed_length = parsed.length
+ s.shutdownInput()
+ s.shutdownOutput()
+ s.close()
+
+ //Thread.sleep(20)
+ // try to parse val parsed
+ logger.debug(s"Parsing $parsed - len: $parsed_length")
+ // ToDo: so any formula with less length then 31 is no formula? huh?
+ //enxhell code: val formula = if (parsed.length > 31) parsed.substring(23, parsed.length - 8).replaceAllLiterally("\\n", "") else "No formula"
+ val formula = parsed.replaceAllLiterally("\\n", "")
+
+ logger.debug(s"Formula $formula")
val parsedFormula = FormulaParserInst.parse(formula).orElse {
logger.debug(s"Couldn't parse: $formula")
None
}
-
-
- if(count < 500) {
- Try {
- SageRequest.save(SageRequest(
- request = input,
- result = parsedFormula
- ))
- }
- cleanup()
+ // save parse result to MongoDB
+ // ToDo: this writes None for unsuccesful parses into the DB
+ try {
+ SageRequest.save(SageRequest(
+ request = input,
+ result = parsedFormula
+ ))
}
+ logfile.write(parsedFormula.toString() + "\n");
parsedFormula
+
} catch {
case e: Exception =>
- Logger.debug(s"Got error $e")
+ logger.debug(s"Got error $e")
None
}
}
- }
- def simplify(expression: Expression): Option[Expression] = {
- callMethodNoArguments(expression, "simplify")
}
- private def callMethodNoArguments(expression: Expression, method: String) = {
- val input = s"$method(${expression.toSage})"
+ // variation of sage_tcp_socket_connection() in order to support callMethodWithCall()
+ private def sage_tcp_socket_connection_with_call(input: String) = {
val responseOpt = SageRequest.findByRequest(input)
if (responseOpt.isDefined) {
val result = responseOpt.flatMap(_.result)
- logger.debug(s"Result cached ${result.map(_.toSage)}for $input")
- result
+ logger.debug(s"with_call Result cached ${result.map(_.toSage)} for $input")
+ result.map {
+ case s: ArgList => s
+ case _ => ArgList(Nil)
+ }
} else {
logger.debug(s"NOT CACHED $input")
try {
- counter += 1
- val headerFirst = Http("http://localhost:8080/home/admin/0/eval")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- val payload = Map("newcell" -> "0", "id" -> "31", "input" -> input).toSeq
- headerFirst.postForm(payload).asString.body
- val headerSecond = Http("http://localhost:8080/home/admin/0/cell_update")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
-
- val headerFinish = Http("http://localhost:8080/home/admin/0/discard_and_quit")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
+ val s = new Socket(InetAddress.getByName("127.0.0.1"), 65432)
+ lazy val in = new BufferedSource(s.getInputStream()).getLines()
+ val out = new PrintStream(s.getOutputStream())
- val headerAlive = Http("http://localhost:8080/home/admin/0/alive")
- .headers("Content-Type" -> "application/x-www-form-urlencoded; charset=UTF-8",
- "Cookie" -> session
- , "Accept" -> "text/plain")
+ out.println(s"$input")
+ out.flush()
- Thread.sleep(20)
+ val parsed = in.mkString("\n")
- var parsed = "\" \""
- var count = 0
- while (parsed == "\" \"" && count < 500) {
- val x = headerSecond.postForm(Map("id" -> "31").toSeq)
- parsed = (Json.parse(x.asString.body) \ "output_wrapped").get.toString().trim
- if ((count % 20) == 1) logger.debug(s"sleeping ... ")
- Thread.sleep(50)
- count += 1
- }
- if (count >= 500) {
- val x = headerFinish.param("_", System.currentTimeMillis().toString)
- logger.debug("Ditching it")
- logger.debug(x.asString.toString)
- logger.debug(x.asString.body)
- logger.debug("\n")
- Thread.sleep(1000)
- headerAlive.param("_", System.currentTimeMillis().toString)
- Thread.sleep(100)
- headerAlive.param("_", System.currentTimeMillis().toString)
- cleanup()
- } else {
- smallCleanup()
- Thread.sleep(20)
+ s.close()
- }
+ //Thread.sleep(20)
logger.debug(s"Parsing $parsed")
val formula = if (parsed.length > 31) parsed.substring(23, parsed.length - 8).replaceAllLiterally("\\n", "") else "No formula"
+ println("Parsed: " + formula.drop(1).dropRight(1).split(",").map(_.trim.toDouble).toList)
val parsedFormula = FormulaParserInst.parse(formula).orElse {
logger.debug(s"Couldn't parse: $formula")
None
}
- // logger.debug(parsedFormula)
- Thread.sleep(50)
- if(count < 500) {
- Try {
- SageRequest.save(SageRequest(
- request = input,
- result = parsedFormula
- ))
- }
- cleanup()
+ try {
+ SageRequest.save(SageRequest(
+ request = input,
+ result = parsedFormula
+ ))
+ }
+
+ parsedFormula.map {
+ case s: ArgList => s
+ case _ => ArgList(Nil)
}
- parsedFormula
} catch {
case e: Exception =>
- Logger.debug(s"Got exception $e")
+ logger.debug(s"Got error $e")
None
}
}
+
}
+ private def PythonSageServerPostFixMethod(expression: Expression, method: String, variables: List[String]) = {
+ logger.debug(s"sagemath server reqest")
+
+ // the sage command e.g. "((x/(95-(15*x))^5)).simplify_full()"
+ val input = s"(${expression.toSage}).$method(${variables.mkString(",")})"
+ sage_tcp_socket_connection(input)
+ }
+
+ def simplify(expression: Expression): Option[Expression] = {
+ callMethodNoArguments(expression, "simplify")
+ }
+
+ private def callMethodNoArguments(expression: Expression, method: String) = {
+ logger.debug(s"xxx callMethodNoArguments")
+ val input = s"$method(${expression.toSage})"
+ sage_tcp_socket_connection(input)
+ }
+
def oeisTerms(theory: String): Option[ArgList] = {
val input = s"oeis('$theory').first_terms()"
val result = callMethodWithCall(input)
diff --git a/src/test/scala/FormulaParserTest.scala b/src/test/FormulaParserTest.scala
similarity index 99%
rename from src/test/scala/FormulaParserTest.scala
rename to src/test/FormulaParserTest.scala
index a44f658..2624118 100644
--- a/src/test/scala/FormulaParserTest.scala
+++ b/src/test/FormulaParserTest.scala
@@ -1,4 +1,5 @@
import org.scalatest.FlatSpec
+import org.scalatest
import parser._
/**
diff --git a/src/test/scala/SageTest.scala b/src/test/SageTest.scala
similarity index 100%
rename from src/test/scala/SageTest.scala
rename to src/test/SageTest.scala
diff --git a/src/test/scala/TransformationTests.scala b/src/test/TransformationTests.scala
similarity index 100%
rename from src/test/scala/TransformationTests.scala
rename to src/test/TransformationTests.scala
diff --git a/xml_out/A000001.omdoc b/xml_out/A000001.omdoc
new file mode 100644
index 0000000..5ed893e
--- /dev/null
+++ b/xml_out/A000001.omdoc
@@ -0,0 +1,630 @@
+
+
+
+
+
+ M0098 N0035
+
+ 0,1,1,1,2,1,2,1,5,2,2,1,5,1,2,1,14,1,5,1,5,2,2,1,15,2,2,5,4,1,4,1,51,
+
+ 1,2,1,14,1,2,2,14,1,6,1,4,2,2,1,52,2,5,1,5,1,15,2,13,2,2,1,13,1,2,4,
+
+ 267,1,4,1,5,1,4,1,50,1,2,3,4,1,6,1,52,15,2,1,15,1,2,1,12,1,10,1,4,2
+
+
+ Number of groups of order
+
+ .
+
+
+ L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 302, #35.
+
+ J. H. Conway et al., The Symmetries of Things, Peters, 2008, p. 209.
+
+ H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 134.
+
+ CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 150.
+
+ R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, A Foundation for Computer Science, Addison-Wesley Publ. Co., Reading, MA, 1989, Section 6.6 'Fibonacci Numbers' pp. 281-283.
+
+ M. Hall, Jr. and J. K. Senior, The Groups of Order 2^n (n <= 6). Macmillan, NY, 1964.
+
+ D. Joyner, 'Adventures in Group Theory', Johns Hopkins Press. Pp. 169-172 has table of groups of orders < 26.
+
+ D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section XIII.24, p. 481.
+
+ M. F. Newman and E. A. O'Brien, A CAYLEY library for the groups of order dividing 128. Group theory (Singapore, 1987), 437-442, de Gruyter, Berlin-New York, 1989.
+
+ N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
+
+ N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
+
+ H.-U. Besche and Ivan Panchenko, <a href="/A000001/b000001.txt">Table of n, a(n) for n = 0..2047</a> [Terms 1 through 2015 copied from Small Groups Library mentioned below. Terms 2016 - 2047 added by Ivan Panchenko, Aug 29 2009. 0 prepended by _Ray Chandler_, Sep 16 2015.]
+
+ H. A. Bender, <a href="http://www.jstor.org/stable/1967981">A determination of the groups of order p^5</a>, Ann. of Math. (2) 29, pp. 61-72 (1927).
+
+ Hans Ulrich Besche and Bettina Eick, <a href="http://dx.doi.org/10.1006/jsco.1998.0258">Construction of finite groups</a>, Journal of Symbolic Computation, Vol. 27, No. 4, Apr 15 1999, pp. 387-404.
+
+ Hans Ulrich Besche and Bettina Eick, <a href="http://dx.doi.org/10.1006/jsco.1998.0259">The groups of order at most 1000 except 512 and 768</a>, Journal of Symbolic Computation, Vol. 27, No. 4, Apr 15 1999, pp. 405-413.
+
+ H. U. Besche, B. Eick and E. A. O'Brien, <a href="http://www.ams.org/era/2001-07-01/S1079-6762-01-00087-7/home.html">The groups of order at most 2000</a>, Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 1-4.
+
+ H. U. Besche, B. Eick and E. A. O'Brien, <a href="http://www.icm.tu-bs.de/ag_algebra/software/small/">The Small Groups Library</a>
+
+ H. U. Besche, B. Eick and E. A. O'Brien, <a href="http://www.icm.tu-bs.de/ag_algebra/software/small/number.html">Number of isomorphism types of finite groups of given order</a>
+
+ H.-U. Besche, B. Eick and E. A. O'Brien, <a href="http://dx.doi.org/10.1142/S0218196702001115">A Millennium Project: Constructing Small Groups</a>, Internat. J. Algebra and Computation, 12 (2002), 623-644.
+
+ H. Bottomley, <a href="/A000001/a000001.gif">Illustration of initial terms</a>
+
+ J. H. Conway, Heiko Dietrich and E. A. O'Brien, <a href="http://www.math.auckland.ac.nz/~obrien/research/gnu.pdf">Counting groups: gnus, moas and other exotica</a>, Math. Intell., Vol. 30, No. 2, Spring 2008.
+
+ Yang-Hui He, Minhyong Kim, <a href="https://arxiv.org/abs/1905.02263">Learning Algebraic Structures: Preliminary Investigations</a>, arXiv:1905.02263 [cs.LG], 2019.
+
+ Otto Hölder, <a href="http://dx.doi.org/10.1007/BF01443651">Die Gruppen der Ordnungen p^3, pq^2, pqr, p^4</a>, Math. Ann. 43 pp. 301-412 (1893).
+
+ Rodney James, <a href="http://dx.doi.org/10.1090/S0025-5718-1980-0559207-0">The groups of order p^6 (p an odd prime)</a>, Math. Comp. 34 (1980), 613-637.
+
+ Rodney James and John Cannon, <a href="http://dx.doi.org/10.1090/S0025-5718-1969-0238953-8">Computation of isomorphism classes of p-groups</a>, Mathematics of Computation 23.105 (1969): 135-140.
+
+ G. A. Miller, <a href="http://www.jstor.org/stable/2370630">Determination of all the groups of order 64</a>, Amer. J. Math., 52 (1930), 617-634.
+
+ Ed Pegg, Jr., <a href="http://www.mathpuzzle.com/MAA/07-Sequence%20Pictures/mathgames_12_08_03.html">Sequence Pictures</a>, Math Games column, Dec 08 2003.
+
+ Ed Pegg, Jr., <a href="/A000043/a000043_2.pdf">Sequence Pictures</a>, Math Games column, Dec 08 2003 [Cached copy, with permission (pdf only)]
+
+ D. S. Rajan, <a href="http://dx.doi.org/10.1016/0012-365X(93)90061-W">The equations D^kY=X^n in combinatorial species</a>, Discrete Mathematics 118 (1993) 197-206 North-Holland.
+
+ E. Rodemich, <a href="http://dx.doi.org/10.1016/0021-8693(90)90244-I">The groups of order 128</a>, J. Algebra 67 (1980), no. 1, 129-142.
+
+ Gordon Royle, <a href="http://staffhome.ecm.uwa.edu.au/~00013890/data.html">Combinatorial Catalogues</a>. See subpage "Generators of small groups" for explicit generators for most groups of even order < 1000.
+
+ D. Rusin, <a href="/A000001/a000001.txt">Asymptotics</a> [Cached copy of lost web page]
+
+ Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FiniteGroup.html">Finite Group</a>
+
+ Wikipedia, <a href="http://en.wikipedia.org/wiki/Finite_group">Finite group</a>
+
+ M. Wild, <a href="http://www.jstor.org/stable/30037381">The groups of order sixteen made easy</a>, Amer. Math. Monthly, 112 (No. 1, 2005), 20-31.
+
+ Gang Xiao, <a href="http://wims.unice.fr/~wims/wims.cgi?module=tool/algebra/smallgroup">SmallGroup</a>
+
+ <a href="/index/Gre#groups">Index entries for sequences related to groups</a>
+
+ <a href="/index/Cor#core">Index entries for "core" sequences</a>
+
+
+ From _Mitch Harris_ ,Oct 25 2006 :(Start )
+
+
+
+ For
+
+ ,
+
+ ,
+
+ primes :
+
+
+
+
+
+
+
+
+
+ 1
+
+ ,
+
+
+
+
+
+
+ 2
+
+
+ 2
+
+ ,
+
+
+
+
+
+
+ 3
+
+
+ 5
+
+ ,
+
+
+
+
+
+
+ 4
+
+
+ 14
+
+ ,if
+
+
+
+ 2
+
+ ,otherwise
+ 15
+ .
+
+
+
+
+
+
+
+
+
+
+ 5
+
+
+
+
+ 6122
+
+
+ 1
+ 3
+
+
+
+ 1
+ 4
+
+
+
+ ,
+
+
+
+ 5
+
+ ,
+
+
+
+
+
+ 2
+ 5
+
+
+ 51
+
+ ,
+
+
+
+
+
+ 3
+ 5
+
+
+ 67
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 227
+
+
+
+ 3
+
+
+
+
+
+
+ 83
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+ if
+
+
+
+
+
+ 1
+
+
+ 1
+
+ ,
+ 2
+ if
+
+
+
+
+
+ 1
+
+
+
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+ of the following :
+
+
+
+ *
+ 5
+ ,
+
+
+
+ 2
+
+ ,
+
+ odd ,
+
+
+
+ *
+
+
+
+
+ 9
+ 2
+
+ ,
+
+
+
+
+ 1
+
+
+ ,
+
+ odd ,
+
+
+
+ *
+ 5
+ ,
+
+
+
+ 3
+
+ ,
+
+
+
+ 2
+
+ ,
+
+
+
+ *
+ 3
+ ,
+
+
+
+
+
+
+ 1
+
+
+
+ ,
+
+ and
+
+ odd .
+
+
+
+ *
+ 4
+ ,
+
+
+
+
+ 1
+
+
+ ,
+
+
+
+ 3
+
+ ,
+
+
+
+
+
+
+
+ 1
+
+
+ 2
+
+
+
+
+
+
+
+ *
+ 5
+ ,
+
+
+
+
+ 1
+
+
+ 2
+
+
+
+
+
+
+ * 2, q != +/-1 mod p and p != 1 mod q,
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ of the following :
+
+
+
+ *
+
+
+
+
+
+
+
+
+ 1
+
+
+
+ 1
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ *No ..........No ..........No ..........
+ 1
+
+
+
+
+ *No ..........No ..........Yes.........
+ 2
+
+
+
+
+ *No ..........Yes.........No..........
+ 2
+
+
+
+
+ *No ..........Yes.........Yes.........
+ 4
+
+
+
+
+ *Yes.........No..........No..........
+ 2
+
+
+
+
+ *Yes.........No..........Yes.........
+ 3
+
+
+
+
+ *Yes.........Yes.........No..........p
+ 2
+
+
+
+
+ *Yes.........Yes.........Yes.........p
+ 4
+ (table from Derek Holt )(End )
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-
+
+ .
+
+ .Mathar_ ,Mar 14 2015
+
+
+ Groups of orders 1 through 10 (C_n = cyclic, D_n = dihedral of order n, Q_8 = quaternion, S_n = symmetric):
+
+ 1: C_1
+
+ 2: C_2
+
+ 3: C_3
+
+ 4: C_4, C_2 X C_2
+
+ 5: C_5
+
+ 6: C_6, S_3=D_6
+
+ 7: C_7
+
+ 8: C_8, C_4 X C_2, C_2 X C_2 X C_2, D_8, Q_8
+
+ 9: C_9, C_3 X C_3
+
+ 10: C_10, D_10
+
+ GroupTheory:-NumGroups(n); # with(GroupTheory); loads this command - _N. J. A. Sloane_, Dec 28 2017
+
+ FiniteGroupCount[Range[100]] (* _Harvey P. Dale_, Jan 29 2013 *)
+
+ a[ n_] := If[ n < 1, 0, FiniteGroupCount @ n]; (* _Michael Somos_, May 28 2014 *)
+
+ (MAGMA) D:=SmallGroupDatabase(); [ NumberOfSmallGroups(D, n) : n in [1..1000] ]; // _John Cannon_, Dec 23 2006
+
+ (GAP) A000001 := Concatenation([0], List([1..500], n -> NumberSmallGroups(n))); # _Muniru A Asiru_, Oct 15 2017
+
+ The main sequences concerned with group theory are A000001 (this one), A000679, A001034, A001228, A005180, A000019, A000637, A000638, A002106, A005432, A000688, A060689, A051532.
+
+ Cf. A046058, A023675, A023676. A003277 gives n for which A000001(n) = 1, A063756 (partial sums).
+
+ A046057 gives first occurrence of each k.
+
+ nonn,core,nice,hard
+
+ 0,5
+
+ _N. J. A. Sloane_
+
+ More terms from _Michael Somos_
+
+ Typo in b-file description fixed by _David Applegate_, Sep 05 2009
+
+
+
\ No newline at end of file
diff --git a/xml_out/A000005.omdoc b/xml_out/A000005.omdoc
new file mode 100644
index 0000000..408d233
--- /dev/null
+++ b/xml_out/A000005.omdoc
@@ -0,0 +1,1708 @@
+
+
+
+
+
+ M0246 N0086
+
+ 1,2,2,3,2,4,2,4,3,4,2,6,2,4,4,5,2,6,2,6,4,4,2,8,3,4,4,6,2,8,2,6,4,4,
+
+ 4,9,2,4,4,8,2,8,2,6,6,4,2,10,3,6,4,6,2,8,4,8,4,4,2,12,2,4,6,7,4,8,2,
+
+ 6,4,8,2,12,2,4,6,6,4,8,2,10,5,4,2,12,4,4,4,8,2,12,4,6,4,4,4,12,2,6,6,9,2,8,2,8
+
+
+
+
+
+
+ (also called
+
+
+
+ or
+
+
+
+ ),the number of divisors of
+
+ .
+
+
+ M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 840.
+
+ T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 38.
+
+ G. Chrystal, Algebra: An elementary text-book for the higher classes of secondary schools and for colleges, 6th ed, Chelsea Publishing Co., New York 1959 Part II, p. 345, Exercise XXI(16). MR0121327 (22 #12066)
+
+ G. H. Hardy and E. M. Wright, revised by D. R. Heath-Brown and J. H. Silverman, An Introduction to the Theory of Numbers, 6th ed., Oxford Univ. Press, 2008.
+
+ K. Knopp, Theory and Application of Infinite Series, Blackie, London, 1951, p. 451.
+
+ D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Chap. II. (For inequalities, etc.)
+
+ S. Ramanujan, Collected Papers, Ed. G. H. Hardy et al., Cambridge 1927; Chelsea, NY, 1962. Has many references to this sequence. - _N. J. A. Sloane_, Jun 02 2014
+
+ N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
+
+ N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
+
+ B. Spearman and K. S. Williams, Handbook of Estimates in the Theory of Numbers, Carleton Math. Lecture Note Series No. 14, 1975; see p. 2.1.
+
+ E. C. Titchmarsh, The Theory of Functions, Oxford, 1938, p. 160.
+
+ T. Tao, Poincaré's Legacies, Part I, Amer. Math. Soc., 2009, see pp. 31ff for upper bounds on d(n).
+
+ Daniel Forgues, <a href="/A000005/b000005.txt">Table of n, a(n) for n = 1..100000</a> (first 10000 terms from N. J. A. Sloane)
+
+ M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy, requires Flash plugin].
+
+ G. E. Andrews, <a href="http://www.mat.univie.ac.at/~slc/s/s42andrews.html">Some debts I owe</a>, Séminaire Lotharingien de Combinatoire, Paper B42a, Issue 42, 2000; see (7.1).
+
+ J. Bell, <a href="http://www.jordanbell.org/history/lambert.pdf">Lambert series in analytic number theory</a>
+
+ R. Bellman and H. N. Shapiro, <a href="http://www.jstor.org/stable/1969281">On a problem in additive number theory</a>, Annals Math., 49 (1948), 333-340. [From _N. J. A. Sloane_, Mar 12 2009]
+
+ H. Bottomley, <a href="/A000005/a000005.gif">Illustration of initial terms</a>
+
+ D. M. Bressoud, M. V. Subbarao, <a href="http://dx.doi.org/10.4153/CMB-1984-022-5">On Uchimura's connection between partitions and the number of divisors</a>, Can. Math. Bull. 27, 143-145 (1984). Zbl 0536.10013.
+
+ C. K. Caldwell, The Prime Glossary, <a href="http://primes.utm.edu/glossary/page.php?sort=Tau">Number of divisors</a>
+
+ Imanuel Chen and Michael Z. Spivey, <a href="http://soundideas.pugetsound.edu/summer_research/238">Integral Generalized Binomial Coefficients of Multiplicative Functions</a>, Preprint 2015; Summer Research Paper 238, Univ. Puget Sound.
+
+ Jimmy Devillet, Gergely Kiss, <a href="https://arxiv.org/abs/1806.02073">Characterizations of biselective operations</a>, arXiv:1806.02073 [math.RA], 2018.
+
+ P. Erdős and L. Mirsky, <a href="http://www.renyi.hu/~p_erdos/1952-12.pdf">The distribution of values of the divisor function d(n)</a>, Proc. London Math. Soc. 2 (1952), pp. 257-271.
+
+ Paul Erdős, Carl Pomerance and András Sárközy, <a href="https://doi.org/10.1090/S0002-9939-1987-0897061-6">On locally repeated values of certain arithmetic functions, III</a>, Proc. Amer. Math. Soc. 101 (1987), 1-7.
+
+ C. R. Fletcher, <a href="http://www.jstor.org/stable/3615885">Rings of small order</a>, Math. Gaz. vol. 64, p. 13, 1980.
+
+ Robbert Fokkink and Jan van Neerven, <a href="http://www.math.leidenuniv.nl/~naw/serie5/deel04/mrt2003/pdf/problemen-uwc.pdf">Problemen/UWC</a> (in Dutch)
+
+ Daniele A. Gewurz and Francesca Merola, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL6/Gewurz/gewurz5.html">Sequences realized as Parker vectors ...</a>, J. Integer Seqs., Vol. 6, 2003.
+
+ D. R. Heath-Brown, <a href="https://doi.org/10.1112/S0025579300010743">The divisor function at consecutive integers</a>, Mathematika 31 (1984), 141-149.
+
+ Adolf Hildebrand, <a href="https://projecteuclid.org/euclid.pjm/1102690578">The divisor function at consecutive integers</a>, Pacific J. Math. 129 (1987), 307-319.
+
+ J. J. Holt & J. W. Jones, Discovering Number Theory, Section 1.4, <a href="http://www.math.mtu.edu/mathlab/COURSES/holt/dnt/divis4.html">Counting Divisors</a>.
+
+ P. A. MacMahon, <a href="http://plms.oxfordjournals.org/content/s2-19/1/75.extract">Divisors of numbers and their continuations in the theory of partitions</a>, Proc. London Math. Soc., 19 (1919), 75-113.
+
+ M. Maia and M. Mendez, <a href="http://arXiv.org/abs/math.CO/0503436">On the arithmetic product of combinatorial species</a>, arXiv:math/0503436 [math.CO], 2005.
+
+ R. G. Martinez, Jr., The Factor Zone, <a href="http://factorzone.tripod.com/factors.htm">Number of Factors for 1 through 600</a>.
+
+ Math Forum, <a href="http://mathforum.org/library/drmath/view/55741.html">Divisor Counting</a>.
+
+ Math Stackexchange, <a href="https://math.stackexchange.com/questions/3213216/a-question-on-discrete-fourier-transform-of-some-function"> A question on discrete Fourier Transform of some function</a>
+
+ K. Matthews, <a href="http://www.numbertheory.org/php/factor.html">Factorizing n and calculating phi(n), omega(n), d(n), sigma(n) and mu(n)</a>.
+
+ M. Merca, <a href="http://dx.doi.org/10.1016/j.jnt.2014.10.009">A new look on the generating function for the number of divisors</a>, Journal of Number Theory, Volume 149, April 2015, Pages 57-69.
+
+ Mircea Merca, <a href="http://dx.doi.org/10.1016/j.jnt.2015.08.014">Combinatorial interpretations of a recent convolution for the number of divisors of a positive integer</a>, Journal of Number Theory, Volume 160, March 2016, Pages 60-75, corollary 2.1.
+
+ Matthew Parker, <a href="https://oeis.org/A000005/a000005_25M.7z">The first 25 million terms (7-Zip compressed file)</a>.
+
+ Ed Pegg, Jr., <a href="http://www.mathpuzzle.com/MAA/07-Sequence%20Pictures/mathgames_12_08_03.html">Sequence Pictures</a>, Math Games column, Dec 08 2003.
+
+ Ed Pegg, Jr., <a href="/A000043/a000043_2.pdf">Sequence Pictures</a>, Math Games column, Dec 08 2003. [Cached copy, with permission (pdf only)]
+
+ Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/poldiv01.jpg">Illustration of initial terms: figure 1</a>, <a href="http://www.polprimos.com/imagenespub/poldiv02.jpg">figure 2</a>, <a href="http://www.polprimos.com/imagenespub/poldiv03.jpg">figure 3</a>, <a href="http://www.polprimos.com/imagenespub/poldiv04.jpg">figure 4</a>, <a href="http://www.polprimos.com/imagenespub/poldiv3v.jpg">figure 5</a>, (2009), <a href="http://www.polprimos.com/imagenespub/poldiv13.jpg">figure 6 (a, b, c)</a>, (2013)
+
+ S. Ramanujan, <a href="http://www.imsc.res.in/~rao/ramanujan/CamUnivCpapers/Cpaper8/page1.htm">On The Number Of Divisors Of A Number</a>.
+
+ H. B. Reiter, <a href="http://www.math.uncc.edu/~hbreiter/DivisorsLasVegas.pdf">Counting Divisors</a>.
+
+ W. Sierpiński, <a href="http://matwbn.icm.edu.pl/ksiazki/mon/mon42/mon4204.pdf">Number Of Divisors And Their Sum</a>.
+
+ E. C. Titchmarsh, <a href="http://jlms.oxfordjournals.org/content/s1-13/4/248.extract">On a series of Lambert type</a>, J. London Math. Soc., 13 (1938), 248-253.
+
+ Keisuke Uchimura, <a href="http://dx.doi.org/10.1016/0097-3165(81)90009-1">An identity for the divisor generating function arising from sorting theory</a>, J. Combin. Theory Ser. A 31 (1981), no. 2, 131--135. MR0629588 (82k:05015)
+
+ Wang Zheng Bing, Robert Fokkink and Wan Fokkink, <a href="http://www.jstor.org/stable/2974956">A Relation Between Partitions and the Number of Divisors</a>, Am. Math. Monthly, 102 (Apr., 1995), no. 4, 345-347.
+
+ Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BinomialNumber.html">Binomial Number</a>, <a href="http://mathworld.wolfram.com/DirichletSeriesGeneratingFunction.html">Dirichlet Series Generating Function</a>, <a href="http://mathworld.wolfram.com/DivisorFunction.html">Divisor Function</a>, and <a href="http://mathworld.wolfram.com/MoebiusTransform.html">Moebius Transform</a>.
+
+ Wikipedia, <a href="http://www.wikipedia.org/wiki/Table_of_divisors">Table of divisors</a>.
+
+ Wolfram Research, <a href="http://functions.wolfram.com/NumberTheoryFunctions/Divisors/03/02">Divisors of first 50 numbers</a>
+
+ <a href="/index/Cor#core">Index entries for "core" sequences</a>
+
+ <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>
+
+
+ If
+
+ is written as
+
+
+ 2
+
+
+
+ 3
+
+
+
+ 5
+
+
+
+ 7
+
+
+
+ 11
+
+
+ then
+
+
+
+
+
+
+
+ 1
+
+
+ 1
+
+
+ 1
+
+
+ 1
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+ iff
+
+ is prime .
+
+
+
+
+
+ .This is usually called THE Lambert series (see Knopp ,Titchmarsh ).
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .
+
+
+
+ Multiplicative with
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+ .-_David
+
+ .Wilson_ ,Aug 01 2001
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+ [see Mitrinovich ,
+
+ .
+ 39
+ ,also
+
+ ].
+
+
+
+
+
+
+
+ is odd iff
+
+ is a square .-_Reinhard Zumkeller_ ,Dec 29 2001
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+ where
+
+
+
+
+
+ 1
+
+ if
+
+
+
+
+
+
+ ,
+ 0
+ otherwise (Mobius transform of
+
+ ).Equivalently ,
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ with
+
+
+
+ the k-th roots of unity .-_Ralf Stephan_ ,Dec 25 2002
+
+
+
+
+
+ .-_Michael Somos_ ,Apr 27 2003
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-_Benoit Cloitre_ ,May 11 2003
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+ 1
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+ .-_Ralf Stephan_ ,Mar 26 2004
+
+
+
+
+
+ .Dirichlet
+
+ .-_Michael Somos_ ,Apr 05 2003
+
+
+
+ Sequence =
+
+ where
+
+
+
+
+
+
+
+
+ an infinite lower triangular matrix and
+
+
+
+
+
+ sequence
+
+
+
+
+ a vector :
+
+
+ 12131214
+
+
+ .-_Gary
+
+ .Adamson_ ,Apr 15 2007
+
+
+
+
+
+
+
+
+
+ ,where
+
+
+
+
+
+
+
+
+ an infinite lower triangular matrix and
+
+
+
+
+
+ ,the number of odd divisors of
+
+ ,is a vector :
+
+
+ 1121222
+
+
+ .-_Gary
+
+ .Adamson_ ,Apr 15 2007
+
+
+
+ Row sums of triangle
+
+ .-_Gary
+
+ .Adamson_ ,Nov 02 2007
+
+
+
+ Logarithmic
+
+ .-_Joerg Arndt_ ,May 03 2008
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+ .-_Enrique Pérez Herrero_ ,Aug 27 2009
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+ ,if
+
+
+
+ 1
+
+ is a
+
+ number
+
+ and
+
+
+
+ is :
+
+ .-_Enrique Pérez Herrero_ ,Sep 08 2009
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-_Reinhard Zumkeller_ ,Dec 08 2009
+
+
+
+ For
+
+
+
+ 0
+
+ ,
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+ .Also
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+ 2
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+ .And
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+ 14
+
+
+
+
+
+
+
+ 2
+
+
+
+
+ 14
+
+
+
+
+
+ 2
+
+
+
+ 12
+
+
+
+
+ .-_Eric Desbiaux_ ,Mar 09 2010 ,corrected Apr 16 2011
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+ 2
+
+ 1
+
+
+ 2
+
+
+
+
+
+ for every
+
+ .-Fabio Civolani (civox(AT)tiscali.it ),Mar 12 2010
+
+
+
+ From _Vladimir Shevelev_ ,May 22 2010 :(Start )
+
+
+ (Sum_{d|n} a(d))^2 = Sum_{d|n} a(d)^3 (J. Liouville).
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .(End )
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 0
+
+
+
+
+
+
+
+
+ 1
+
+ 1
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+ .-
+
+ .Neves_ ,Oct 04 2010
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+ .-_Reinhard Zumkeller_ ,Mar 08 2013
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+ 1
+
+
+
+
+
+
+
+
+ ,where
+
+
+
+ is the
+
+
+
+
+ function .-_Vladimir Reshetnikov_ ,Apr 23 2013
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+ .-_Reinhard Zumkeller_ ,Jul 12 2013
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-_Mircea Merca_ ,Feb 18 2013
+
+
+
+
+
+ .-_Mats Granvik_ ,Jun 15 2013
+
+
+
+ The formula above is obtained by expanding the Lambert series
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ .-_Joerg Arndt_ ,Mar 12 2014
+
+
+
+
+
+ .-_Paul
+
+ .Hanna_ ,Aug 21 2014
+
+
+ 2*Pi*a(n) = Sum_{m=1..n} Integral_{x=0..2*Pi} r^(m-n)( cos((m-n)*x)-r^m cos(n*x) )/( 1+r^(2*m)-2r^m cos(m*x) )dx, 0 < r < 1 a free parameter. This formula is obtained as the sum of the residues of the Lambert series Sum_{k>=1} x^k/(1-x^k). - _Seiichi Kirikami_, Oct 22 2015
+
+ a(n) = A091220(A091202(n)) = A106737(A156552(n)). - _Antti Karttunen_, circa 2004 & Mar 06 2017
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+ [Wang ,Fokkink ,Fokkink ].-_George Beck_ ,May 06 2017
+
+
+
+
+
+ .-_Mamuka Jibladze_ ,Aug 29 2018
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+ .-_Daniel Suteu_ ,Nov 05 2018
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+ 1
+
+
+
+ ,where
+
+
+
+ is the exponent of the highest power of
+
+ dividing
+
+ and
+
+ is prime .-_Gary Detlefs_ ,Feb 08 2019
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+ ,
+
+
+
+ 1
+
+ ,where
+
+
+
+
+
+
+
+ product of the factors of
+
+
+
+
+
+
+
+
+ .-_Gary Detlefs_ ,Feb 15 2019
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ ,where
+
+
+
+
+
+
+
+ of divisors of
+
+ .-_Orges Leka_ ,May 09 2019
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+ .-_Ivan
+
+ .Ianakiev_ ,Nov 14 2019
+
+
+ G.f. = x + 2*x^2 + 2*x^3 + 3*x^4 + 2*x^5 + 4*x^6 + 2*x^7 + 4*x^8 + 3*x^9 + ...
+
+ with(numtheory): A000005 := tau; [ seq(tau(n), n=1..100) ];
+
+ Table[DivisorSigma[0, n], {n, 100}] (* _Enrique Pérez Herrero_, Aug 27 2009 *)
+
+ CoefficientList[Series[(Log[1 - q] + QPolyGamma[1, q])/(q Log[q]), {q, 0, 100}], q] (* _Vladimir Reshetnikov_, Apr 23 2013 *)
+
+ a[ n_] := SeriesCoefficient[ (QPolyGamma[ 1, q] + Log[1 - q]) / Log[q], {q, 0, Abs@n}]; (* _Michael Somos_, Apr 25 2013 *)
+
+ a[ n_] := SeriesCoefficient[ q/(1 - q)^2 QHypergeometricPFQ[ {q, q}, {q^2, q^2}, q, q^2], {q, 0, Abs@n}]; (* _Michael Somos_, Mar 05 2014 *)
+
+ a[n_] := SeriesCoefficient[q/(1 - q) QHypergeometricPFQ[{q, q}, {q^2}, q, q], {q, 0, Abs@n}] (* _Mats Granvik_, Apr 15 2015 *)
+
+ With[{M=500},CoefficientList[Series[(2x)/(1-x)-Sum[x^k (1-2x^k)/(1-x^k),{k,M}],{x,0,M}],x]] (* _Mamuka Jibladze_, Aug 31 2018 *)
+
+ (PARI) {a(n) = if( n==0, 0, numdiv(n))}; /* _Michael Somos_, Apr 27 2003 */
+
+ (PARI) {a(n) = n=abs(n); if( n<1, 0, direuler( p=2, n, 1 / (1 - X)^2)[n])}; /* _Michael Somos_, Apr 27 2003 */
+
+ (PARI) {a(n)=polcoeff(sum(m=1, n+1, sumdiv(m, d, (-log(1-x^(m/d) +x*O(x^n) ))^d/d!)), n)} \\ _Paul D. Hanna_, Aug 21 2014
+
+ (MAGMA) [ NumberOfDivisors(n) : n in [1..100] ]; // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006
+
+ (MuPAD) numlib::tau (n)$ n=1..90 // _Zerinvary Lajos_, May 13 2008
+
+ (Sage) [sigma(n, 0) for n in range(1, 105)] # _Zerinvary Lajos_, Jun 04 2009
+
+ (Haskell)
+
+ divisors 1 = [1]
+
+ divisors n = (1:filter ((==0) . rem n)
+
+ [2..n `div` 2]) ++ [n]
+
+ a = length . divisors
+
+ -- _James Spahlinger_, Oct 07 2012
+
+ (Haskell)
+
+ a000005 = product . map (+ 1) . a124010_row -- _Reinhard Zumkeller_, Jul 12 2013
+
+ (Python)
+
+ from sympy import divisor_count
+
+ for n in range(1, 20): print(divisor_count(n), end=', ') # _Stefano Spezia_, Nov 05 2018
+
+ (GAP) List([1..150],n->Tau(n)); # _Muniru A Asiru_, Mar 05 2019
+
+ See A002183, A002182 for records. See A000203 for the sum-of-divisors function sigma(n).
+
+ For partial sums see A006218.
+
+ Cf. A007427 (Dirichlet Inverse), A001227, A005237, A005238, A006601, A006558, A019273, A039665, A049051, A001826, A001842, A049820, A051731, A066446, A106737, A129510, A115361, A129372, A127093, A143319, A061017, A091202, A091220, A156552, A159933, A159934, A027750, A163280, A183063, A263730, A034296, A237665.
+
+ Factorizations into given number of factors: writing n = x*y (A038548, unordered, A000005, ordered), n = x*y*z (A034836, unordered, A007425, ordered), n = w*x*y*z (A007426, ordered).
+
+ easy,core,nonn,nice,mult,hear,changed
+
+ 1,2
+
+ _N. J. A. Sloane_
+
+
+
\ No newline at end of file
diff --git a/xml_out/A000010.omdoc b/xml_out/A000010.omdoc
new file mode 100644
index 0000000..b9e6f0d
--- /dev/null
+++ b/xml_out/A000010.omdoc
@@ -0,0 +1,1464 @@
+
+
+
+
+
+ M0299 N0111
+
+ 1,1,2,2,4,2,6,4,6,4,10,4,12,6,8,8,16,6,18,8,12,10,22,8,20,12,18,12,
+
+ 28,8,30,16,20,16,24,12,36,18,24,16,40,12,42,20,24,22,46,16,42,20,32,
+
+ 24,52,18,40,24,36,28,58,16,60,30,36,32,48,20,66,32,44
+
+ Euler totient function phi(n): count numbers <= n and prime to n.
+
+ M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 840.
+
+ T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 24.
+
+ M. Baake and U. Grimm, Aperiodic Order Vol. 1: A Mathematical Invitation, Encyclopedia of Mathematics and its Applications 149, Cambridge University Press, 2013: see Tables 3.1 and 3.2.
+
+ L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 193.
+
+ C. W. Curtis, Pioneers of Representation Theory ..., Amer. Math. Soc., 1999; see p. 3.
+
+ J.-M. De Koninck & A. Mercier, 1001 Problèmes en Théorie Classique des Nombres, Ellipses, Paris, 2004, Problème 529, pp. 71-257.
+
+ L. E. Dickson, History of the Theory of Numbers. Carnegie Institute Public. 256, Washington, DC, Vol. 1, 1919; Vol. 2, 1920; Vol. 3, 1923, see vol. 1, Chapter V.
+
+ S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 115-119.
+
+ Carl Friedrich Gauss, "Disquisitiones Arithmeticae", Yale University Press, 1965; see p. 21.
+
+ Ronald L. Graham, Donald E. Knuth and Oren Patashnik, Concrete Math., 2n-d ed.; Addison-Wesley, 1994, p. 137.
+
+ G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, th. 60, 62, 63, 288, 323, 328, 330.
+
+ Peter Hilton and Jean Pedersen, A Mathematical Tapestry, Demonstrating the Beautiful Unity of Mathematics, Cambridge University Press, pages 261-264, the Coach theorem.
+
+ Jean-Marie Monier, Analyse, Exercices corrigés, 2ème année MP, Dunod, 1997, Exercice 3.2.21 p. 281-294.
+
+ P. Ribenboim, The New Book of Prime Number Records.
+
+ N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
+
+ N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
+
+ Daniel Forgues, <a href="/A000010/b000010.txt">Table of n, phi(n) for n = 1..100000</a> (first 10000 terms from N. J. A. Sloane)
+
+ M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards Applied Math.Series 55, Tenth Printing, 1972.
+
+ D. Alpern, <a href="http://www.alpertron.com.ar/ECM.HTM">Factorization using the Elliptic Curve Method(along with sigma_0, sigma_1 and phi functions)</a>
+
+ Joerg Arndt, <a href="http://www.jjj.de/fxt/#fxtbook">Matters Computational (The Fxtbook)</a>, section 39.7, pp. 776-778.
+
+ F. Bayart, <a href="http://www.bibmath.net/dico/index.php?action=affiche&quoi=./i/indicateureuler.html">Indicateur d'Euler</a> (in French).
+
+ A. Bogomolny, <a href="http://www.cut-the-knot.org/blue/Euler.shtml">Euler Function and Theorem</a>.
+
+ C. K. Caldwell, The Prime Glossary, <a href="http://primes.utm.edu/glossary/page.php?sort=EulersPhi">Euler's phi function</a>
+
+ R. D. Carmichael, <a href="/A002180/a002180.pdf">A table of the values of m corresponding to given values of phi(m)</a>, Amer. J. Math., 30 (1908),394-400. [Annotated scanned copy]
+
+ Paul Erdős, Andrew Granville, Carl Pomerance and Claudia Spiro, <a href="http://math.dartmouth.edu/~carlp/iterate.pdf">On the normal behavior of the iterates of some arithmetic functions</a>, Analytic number theory, Birkhäuser Boston, 1990, pp. 165-204.
+
+ Paul Erdos, Andrew Granville, Carl Pomerance and Claudia Spiro, <a href="/A000010/a000010_1.pdf">On the normal behavior of the iterates of some arithmetic functions</a>, Analytic number theory, Birkhäuser Boston, 1990, pp. 165-204. [Annotated copy with A-numbers]
+
+ K. Ford, <a href="http://arXiv.org/abs/math.NT/9907204">The number of solutions of phi(x)=m</a>, arXiv:math/9907204 [math.NT], 1999.
+
+ Kevin Ford, Florian Luca and Pieter Moree, <a href="http://arxiv.org/abs/1108.3805">Values of the Euler phi-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields</a>, arXiv:1108.3805 [math.NT], 2011.
+
+ H. Fripertinger, <a href="https://web.archive.org/web/20150910232858/http://www.uni-graz.at/~fripert/fga/k1euler.html">The Euler phi function</a>.
+
+ Daniele A. Gewurz and Francesca Merola, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL6/Gewurz/gewurz5.html">Sequences realized as Parker vectors of oligomorphic permutation groups</a>, J. Integer Seqs., Vol. 6, 2003.
+
+ E. Pérez Herrero, <a href="http://psychedelic-geometry.blogspot.com/2010/07/totient-carnival.html">Totient Carnival partitions</a>, Psychedelic Geometry Blogspot
+
+ M. Lal and P. Gillard, <a href="http://dx.doi.org/10.1090/S0025-5718-69-99858-5">Table of Euler's phi function, n < 10^5</a>, Math. Comp., 23 (1969), 682-683.
+
+ D. N. Lehmer, <a href="http://projecteuclid.org/euclid.bams/1183425137">Review of Dickson's History of the Theory of Numbers</a>, Bull. Amer. Math. Soc., 26 (1919), 125-132.
+
+ Peter Luschny, <a href="http://oeis.org/wiki/User:Peter_Luschny/EulerTotient">Sequences related to Euler's totient function</a>.
+
+ Mathematics Stack Exchange, <a href="https://math.stackexchange.com/questions/301837/is-the-euler-phi-function-bounded-below">Is the Euler phi function bounded below?</a> (2013).
+
+ Mathforum, <a href="http://mathforum.org/library/drmath/view/51541.html">Proving phi(m) Is Even</a>.
+
+ K. Matthews, <a href="http://www.numbertheory.org/php/factor.html">Factorizing n and calculating phi(n), omega(n), d(n), sigma(n) and mu(n)</a>.
+
+ Graeme McRae, <a href="https://web.archive.org/web/20130508193928/http://2000clicks.com/MathHelp/NumberFactorsTotientFunction.aspx">Euler's Totient Function</a>.
+
+ François Nicolas, <a href="https://arxiv.org/abs/0806.2068">A simple, polynomial-time algorithm for the matrix torsion problem</a>, arXiv:0806.2068 [cs.DM], 2009.
+
+ Matthew Parker, <a href="https://oeis.org/A000010/a000010_5M.7z">The first 5 million terms (7-Zip compressed file)</a>.
+
+ Carl Pomerance and Hee-Sung Yang, <a href="http://www.math.dartmouth.edu/~carlp/uupaper7.pdf">Variant of a theorem of Erdos on the sum-of-proper-divisors function</a>, Math. Comp., to appear (2014).
+
+ Primefan, <a href="http://primefan.tripod.com/Phi500.html">Euler's Totient Function Values For n=1 to 500, with Divisor Lists</a>.
+
+ Marko Riedel, <a href="https://web.archive.org/web/20170406154901/http://www.mathematik.uni-stuttgart.de/~riedelmo/combnumth.html">Combinatorics and number theory page</a>.
+
+ J. Barkley Rosser, Lowell Schoenfeld, <a href="https://dx.doi.org/10.1215/ijm/1255631807">Approximate formulas for some functions of prime numbers</a>, Illinois J. Math. 6 (1962), no. 1, 64-94.
+
+ K. Schneider, <a href="https://planetmath.org/eulerphifunction">Euler phi-function</a>, PlanetMath.org.
+
+ W. Sierpiński, <a href="http://matwbn.icm.edu.pl/ksiazki/mon/mon42/mon4206.pdf">Euler's Totient Function And The Theorem Of Euler</a>.
+
+ U. Sondermann, <a href="https://web.archive.org/web/20110823215228/http://home.earthlink.net/~usondermann/eulertot.html">Euler's Totient Function</a>.
+
+ W. A. Stein, <a href="http://wstein.org/edu/Fall2001/124/lectures/lecture6/html/node3.html">Phi is a Multiplicative Function</a>
+
+ Pinthira Tangsupphathawat, Takao Komatsu, Vichian Laohakosol, <a href="https://www.emis.de/journals/JIS/VOL21/Laohakosol/lao8.html">Minimal Polynomials of Algebraic Cosine Values, II</a>, J. Int. Seq., Vol. 21 (2018), Article 18.9.5.
+
+ G. Villemin, <a href="http://villemin.gerard.free.fr/Wwwgvmm/Nombre/TotEuler.htm">Totient d'Euler</a>.
+
+ A. de Vries, <a href="http://math-it.org/Mathematik/Zahlentheorie/Zahl/ZahlApplet.html">The prime factors of an integer (along with Euler's phi and Carmichael's lambda functions)</a>
+
+ K. W. Wegner, <a href="/A002180/a002180_1.pdf">Values of phi(x) = n for n from 2 through 1978</a>, mimeographed manuscript, no date. [Annotated scanned copy]
+
+ Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ModuloMultiplicationGroup.html">Modulo Multiplication Group</a>.
+
+ Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MoebiusTransform.html">Moebius Transform</a>.
+
+ Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TotientFunction.html">Totient Function</a>.
+
+ Wikipedia, <a href="http://en.wikipedia.org/wiki/Euler%27s_phi_function">Euler's totient function</a>.
+
+ Wikipedia, <a href="http://en.wikipedia.org/wiki/Multiplicative_group_of_integers_modulo_n">Multiplicative group of integers modulo n</a>.
+
+ Wikipedia, <a href="http://en.wikipedia.org/wiki/Ramanujan's_sum">Ramanujan's sum</a>
+
+ Wolfram Research, <a href="http://functions.wolfram.com/NumberTheoryFunctions/EulerPhi/03/02">First 50 values of phi(n)</a>.
+
+ G. Xiao, Numerical Calculator, <a href="http://wims.unice.fr/wims/en_tool~number~calcnum.en.html">To display phi(n) operate on "eulerphi(n)"</a>.
+
+ <a href="/index/Cor#core">Index entries for "core" sequences</a>
+
+ <a href="/index/Di#divseq">Index to divisibility sequences</a>
+
+
+
+
+
+
+
+
+
+
+ {distinct primes
+
+ dividing
+
+ }
+
+
+ 1
+
+ 1
+
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ ,
+
+ .e .,the Moebius transform of the natural numbers ;
+
+
+
+
+
+ function
+
+
+
+
+ .
+
+
+
+ Dirichlet generating function
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ .Also
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+ 2
+
+
+
+
+
+ .
+
+
+
+ Multiplicative with
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+ 1
+
+
+
+ .-_David
+
+ .Wilson_ ,Aug 01 2001
+
+
+ Sum_{n>=1} (phi(n)*log(1 - x^n)/n) = -x/(1 - x) for -1 < x < 1 (cf. A002088) - _Henry Bottomley_, Nov 16 2001
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+ 2
+
+
+
+
+
+
+
+
+ 1
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ (see
+
+
+
+
+ inverse ).-_Jon Perry_ ,Mar 02 2004
+
+
+ It is a classical result (certainly known to Landau, 1909) that lim inf n/phi(n) = 1 (taking n to be primes), lim sup n/(phi(n)*log(log(n))) = e^gamma, with gamma = Euler's constant (taking n to be products of consecutive primes starting from 2 and applying Mertens' theorem). See e.g. Ribenboim, pp. 319-320. - Pieter Moree, Sep 10 2004
+
+ a(n) = Sum_{i=1..n} |k(n, i)| where k(n, i) is the Kronecker symbol. Also a(n) = n - #{1 <= i <= n : k(n, i) = 0}. - _Benoit Cloitre_, Aug 06 2004 [Corrected by _Jianing Song_, Sep 25 2018]
+
+
+ Conjecture :limit
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ exists and is approximately
+
+ .-Orges Leka (oleka(AT)students.uni-mainz.de ),Dec 23 2004
+
+
+
+ From _Enrique Pérez Herrero_ ,Sep 07 2010 :(Start )
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ ,where
+
+ is
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ ,where
+
+ is
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ ,where rad is
+
+ .(End )
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-
+
+ .
+
+ .Mathar_ ,Mar 30 2011
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+ 1
+
+
+
+ 1
+
+
+ ,for primes
+
+ .-_Gary Detlefs_ ,Apr 21 2012
+
+
+
+ For odd
+
+ ,
+
+
+
+
+
+ 2
+
+
+
+
+
+ 1
+ 2
+
+
+
+
+
+
+
+ 1
+ 2
+
+
+
+ or
+
+
+
+
+
+ 2
+
+ ;the Coach theorem of Pedersen
+
+ .Cf .
+
+ .-_Gary
+
+ .Adamson_ ,Aug 15 2012
+
+
+
+
+
+ ,where
+
+
+
+
+
+
+
+
+
+
+ .-_Mamuka Jibladze_ ,Apr 05 2015
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-_Omar
+
+ .Pol_ ,May 14 2016
+
+
+ a(n) = lim_{s->1} n*zeta(s)*(Sum_{d divides n} A008683(d)/(e^(1/d))^(s-1)), for n > 1. - _Mats Granvik_, Jan 26 2017
+
+
+ Conjecture :
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+ for
+
+
+
+ 1
+
+ .The
+
+ is over a ,
+
+ ,
+
+ such that
+
+
+
+
+
+
+ 1
+
+ .-_Benedict
+
+ .
+
+ .Irwin_ ,Apr 03 2017
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+ where
+
+ is the imaginary unit .Notice that the Ramanujan's
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+ 2
+
+
+
+ gives
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-_Michael Somos_ ,May 13 2018
+
+
+
+
+
+ ,where
+
+
+
+
+
+
+
+
+
+
+ .-_Mamuka Jibladze_ ,Sep 20 2018
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-_Steven Foster Clark_ ,May 29 2019
+
+
+
+
+
+ satisfies :
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+ 2
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ .-_Ilya Gutkovskiy_ ,Sep 06 2019
+
+
+
+
+
+
+
+
+
+
+
+
+ 2
+
+
+
+ .-_Hugo Pfoertner_ ,Jun 01 2020
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ 52
+
+
+
+
+
+
+
+
+ ,except for
+
+
+
+ 223092870
+
+ (Rosser ,Schoenfeld ).-_Hugo Pfoertner_ ,Jun 02 2020
+
+
+
+ From _Bernard Schott_ ,Nov 28 2020 :(Start )
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ when
+
+
+
+
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+ 2
+
+
+
+
+
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+ 3
+
+
+
+
+
+
+ .
+
+
+
+
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+ 1
+
+
+
+
+
+
+
+
+
+ is convergent iff
+
+
+
+ 1
+
+ .
+
+
+
+
+
+
+
+ 2
+
+
+
+
+
+ iff
+
+ is odd ,and ,
+
+
+
+ 2
+
+
+
+
+
+ iff
+
+ is even .(End )
+
+
+ G.f. = x + x^2 + 2*x^3 + 2*x^4 + 4*x^5 + 2*x^6 + 6*x^7 + 4*x^8 + 6*x^9 + 4*x^10 + ...
+
+ a(8) = 4 with {1, 3, 5, 7} units modulo 8. a(10) = 4 with {1, 3, 7, 9} units modulo 10. - _Michael Somos_, Aug 27 2013
+
+ From _Eduard I. Vatutin_, Nov 01 2020: (Start)
+
+ The a(5)=4 cyclic Latin squares with the first row in ascending order are:
+
+ 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4
+
+ 1 2 3 4 0 2 3 4 0 1 3 4 0 1 2 4 0 1 2 3
+
+ 2 3 4 0 1 4 0 1 2 3 1 2 3 4 0 3 4 0 1 2
+
+ 3 4 0 1 2 1 2 3 4 0 4 0 1 2 3 2 3 4 0 1
+
+ 4 0 1 2 3 3 4 0 1 2 2 3 4 0 1 1 2 3 4 0
+
+ (End)
+
+ with(numtheory): A000010 := phi; [ seq(phi(n), n=1..100) ]; # version 1
+
+ with(numtheory): phi := proc(n) local i,t1,t2; t1 := ifactors(n)[2]; t2 := n*mul((1-1/t1[i][1]),i=1..nops(t1)); end; # version 2
+
+ Array[EulerPhi, 70]
+
+ (Axiom) [eulerPhi(n) for n in 1..100]
+
+ (MAGMA) [ EulerPhi(n) : n in [1..100] ]; // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006
+
+ (PARI) {a(n) = if( n==0, 0, eulerphi(n))}; /* _Michael Somos_, Feb 05 2011 */
+
+ (Sage)
+
+ # euler_phi is a standard function in Sage.
+
+ def A000010(n): return euler_phi(n)
+
+ def A000010_list(n): return [ euler_phi(i) for i in range(1,n+1)]
+
+ # Jaap Spies, Jan 07 2007
+
+ (PARI) { for (n=1, 100000, write("b000010.txt", n, " ", eulerphi(n))); } \\ _Harry J. Smith_, Apr 26 2009
+
+ (Sage) [euler_phi(n) for n in range(1, 70)] # _Zerinvary Lajos_, Jun 06 2009
+
+ (Maxima) makelist(totient(n),n,0,1000); /* _Emanuele Munarini_, Mar 26 2011 */
+
+ (Haskell) a n = length (filter (==1) (map (gcd n) [1..n])) -- _Allan C. Wechsler_, Dec 29 2014
+
+ (Python)
+
+ from sympy.ntheory import totient
+
+ print([totient(i) for i in range(1, 70)]) # _Indranil Ghosh_, Mar 17 2017
+
+ Cf. A008683, A003434 (steps to reach 1), A007755, A049108, A002202 (values).
+
+ Cf. A005277 (nontotient numbers). For inverse see A002181, A006511, A058277.
+
+ Jordan function J_k(n) is a generalization - see A059379 and A059380 (triangle of values of J_k(n)), this sequence (J_1), A007434 (J_2), A059376 (J_3), A059377 (J_4), A059378 (J_5).
+
+ Cf. A054521, A023022, A054525, A134540.
+
+ Row sums of triangles A134540, A127448, A143239, A143353 and A143276.
+
+ Equals right and left borders of triangle A159937. - _Gary W. Adamson_, Apr 26 2009
+
+ Values for prime powers p^e: A006093 (e=1), A036689 (e=2), A135177 (e=3), A138403 (e=4), A138407 (e=5), A138412 (e=6).
+
+ Values for perfect powers n^e: A002618 (e=2), A053191 (e=3), A189393 (e=4), A238533 (e=5), A239442 (e=7), A239443 (e=9).
+
+ Cf. A003558, A135303.
+
+ Cf. A152455, A080737.
+
+ easy,core,nonn,mult,nice,hear
+
+ 1,3
+
+ _N. J. A. Sloane_
+
+
+
\ No newline at end of file
diff --git a/xml_out/A053692.omdoc b/xml_out/A053692.omdoc
deleted file mode 100644
index f3456b1..0000000
--- a/xml_out/A053692.omdoc
+++ /dev/null
@@ -1,401 +0,0 @@
-
-
-
-
-
-
-
- 1,1,0,1,1,1,1,1,0,0,2,0,1,1,1,2,0,0,1,1,0,1,1,0,1,2,0,2,1,0,1,0,1,1,
-
- 1,0,1,0,0,1,3,1,0,1,0,2,1,0,1,1,1,0,1,0,0,2,0,1,0,1,2,2,0,1,0,0,2,1,
-
- 1,1,2,0,0,0,0,1,1,0,2,1,0,1,1,0,1,2,0,1,1,0,3,1,0,0,1,2,1,0,0,1,0,0,1,1,0
-
- Number of self-conjugate 4-core partitions of n.
-
- B. C. Berndt, Ramanujan's Notebooks Part IV, Springer-Verlag, see p. 153 Entry 22.
-
- Garvan, F., Kim, D. and Stanton, D., Cranks and t-cores, Inventiones Math. 101 (1990) 1-17
-
- M. Somos, <a href="http://cis.csuohio.edu/~somos/multiq.pdf">Introduction to Ramanujan theta functions</a>
-
- Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RamanujanThetaFunctions.html">Ramanujan Theta Functions</a>
-
-
- Expansion of
-
-
-
-
-
-
- 4
-
-
- in powers of
-
- where
-
- is a Ramanujan theta function .-_Michael Somos_ ,Nov 03 2005
-
-
-
- Expansion of
-
-
-
-
-
-
-
-
-
-
- 8
-
-
-
- 2
-
- in powers of
-
- where
-
- ,
-
- are Ramanujan theta functions .-_Michael Somos_ ,Jul 24 2012
-
-
-
- Expansion of
-
-
-
-
-
-
-
-
-
- 58
-
-
-
-
-
-
-
-
- 2
-
-
- 2
-
-
-
-
-
-
- 8
-
-
- 2
-
-
-
-
-
-
- 4
-
-
-
- in powers of
-
- .-_Michael Somos_ ,Apr 28 2003
-
-
-
- Euler transform of period
- 8
- sequence
-
-
- 1
-
- 1
- 101
-
- 1
- 1
-
- 2
-
-
-
- .-_Michael Somos_ ,Apr 28 2003 */
-
-
-
-
-
-
-
-
-
-
-
- 12
-
-
-
- 85
-
-
-
- ,where
-
-
-
- is multiplicative and
-
-
-
-
-
- 2
-
-
-
-
-
- 0
-
-
-
- ,
-
-
-
-
-
-
-
-
-
-
-
-
-
- 1
-
-
-
- 1
-
-
-
- 2
-
-
- if
-
-
-
-
- 34
-
-
- ,
-
-
-
-
-
-
-
-
-
-
-
- 1
-
-
- if
-
-
-
-
- 14
-
-
- .-_Michael Somos_ ,Jul 24 2012
-
-
-
- G.f .:
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
- 1
-
-
-
-
- 85
-
-
-
-
- .-_Michael Somos_ ,Nov 03 2005
-
-
-
- G.f .:
-
-
-
-
-
-
-
-
- 1
-
-
-
-
-
-
-
-
-
-
-
-
- 1
-
-
- 8
-
-
- 2
-
-
- 1
-
-
-
-
- 42
-
-
-
-
- 1
-
-
-
-
- 21
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
- 92
-
-
-
-
-
- 98
-
-
-
- 0
-
- .
-
-
-
-
-
- 95
-
-
-
-
-
-
- .
-
-
- 2
-
-
-
-
-
-
- 21
-
-
-
- .
-
-
- 1 + x + x^3 + x^4 + x^5 + x^6 + x^7 + 2*x^10 + x^12 + x^13 + x^14 + 2*x^15 + ...
-
- q^5 + q^13 + q^29 + q^37 + q^45 + q^53 + q^61 + 2*q^85 + q^101 + q^109 + ...
-
- (PARI) {a(n) = local(A); if( n<0, 0, A = sum( k=0, ceil( sqrtint(8*n + 1)/2), x^((k^2 + k)/2), x * O(x^n)); polcoeff( A * subst(A + x * O(x^(n\4)), x, x^4), n))} /* _Michael Somos_, Nov 03 2005 */
-
- (PARI) {a(n) = local(A); if( n<0, 0, A = x * O(x^n); polcoeff( eta(x^2 + A)^2 * eta(x^8 + A)^2 / (eta(x + A) * eta(x^4 + A)), n))} /* _Michael Somos_, Apr 28 2003 */
-
- Cf. A008441, A053693.
-
- easy,nonn
-
- 0,11
-
- _James A. Sellers_, Feb 14 2000
-
-
-
\ No newline at end of file